Pleas can someone help!

Pleas Can Someone Help!

Answers

Answer 1

Answer:

  99.6 cm²

Step-by-step explanation:

You want to know the area of a sector that has radius 6 cm, and subtends an arc of 317°.

Sector area

The formula for the area of a sector is ...

  A = 1/2r²θ . . . . . . where θ is the central angle in radians

Application

  A = 1/2(6 cm)²(317·π/180) ≈ 99.6 cm²

The area of the sector is about 99.6 square centimeters.

Pleas Can Someone Help!

Related Questions

Amanda is buying her best friend a CD for
her upcoming birthday. The CD is
originally priced at $22.50, but has a sale
sticker for 10% off. How much will
Amanda save on her friend's gift?

Answers

Answer:

$2.25

Step-by-step explanation:

Answer:

Step-by-step explanation:

02.25 is your answer because 10% off of 22.50 is 20.25:)

Ming rental car for her bike to carry tools and Wood to school for a science project her toolbox weighs 20 pounds in the car can make carry messing with 5050 pounds each woodboard weighs 3 pounds W represent the number of words she can carry

Answers

Ming can carry a maximum of 1676 wood boards in the car. Ming rental car for her bike to carry tools and Wood to school for a science project her toolbox weighs 20 pounds in the car can make carry messing with 5050 pounds each wood board weighs 3 pounds.

Ming rents a cart for her bike to carry tools and wood to school for her science project. Her toolbox weighs 20 pounds and the cart can carry a maximum of 50 pounds. Each wood board weighs 3 pounds. Let w represent the number of wood boards she can carry.

Let x be the number of wood boards Ming can carry.

Then, the weight of the wood boards is 3x pounds.

Adding the weight of the toolbox, the total weight is 20 + 3x pounds.

The car can carry a maximum of 5050 pounds, so we can set up an inequality:

20 + 3x ≤ 5050

Subtracting 20 from both sides:

3x ≤ 5030

Dividing both sides by 3:

x ≤ 1676.67

Since x represents the number of wood boards, it must be a whole number. Therefore, Ming can carry a maximum of 1676 wood boards in the car.

Ming rents a cart for her bike to carry tools and wood to school for her science project. Her toolbox weighs 20 pounds and the cart can carry a maximum of 50 pounds. Each wood board weighs 3 pounds. Let w represent the number of wood boards she can carry.

To know more about Pounds:

https://brainly.com/question/29181271

#SPJ4

molly wrote her plan to construct a square inscribed in a circle. is her plan correct? a square inscribed within circle n. diagonals of equal length go from corner to corner and create 90 degree angles at the intersection. 1. draw a diameter through center n. 2. construct its perpendicular bisector. 4. connect the points at which the diameter and its perpendicular bisector intersect the circle.

Answers

Yes her plan to construct a square inscribed in a circle is her plan correct.

Let's check if her plan is correct:

In order to construct a square inscribed in a circle,

the following steps should be followed

STEP 1:Draw a circle and its centre, O.

STEP 2:Draw a diameter PQ through the centre of the circle.

STEP 3:Mark the midpoint R of PQ.

STEP 4:Draw a perpendicular bisector of PQ, it should pass through R

STEP 5:It cuts PQ at right angles at R. Label the point where the perpendicular bisector cuts PQ as T.

STEP 6:Connect OT and RT to intersect the circle at points S and U respectively.

Now we have a square INSIDE the circle, where O is the center, and the square's diagonal is the circle's diameter, while the square's sides are the circle's radii.

So, Molly's plan is correct.

To know about the Circles:

https://brainly.com/question/15424530

#SPJ11

The greatest five digit number which is exactly divisible by eight

Answers

Answer:

99992

Step-by-step explanation:

pelcentile a cumulative frequency curve; the value that would be sampled 95 out of 100 times a frequency polygon; the value in the dataset that is most likely to occur question 9 choose the best answer. which would be a uniform probability distribution? the probability of reaching a temperature of 75f on any given day of the year in st. louis, mo a time period in which it rained 25% of the time and did not rain 75% of the time the probabilities of drawing any individual card in a deck with one draw flipping a coin two times and recording whether heads or tails

Answers

As per the given options, the uniform probability distribution can be defined as the probabilities of drawing any individual card in a deck with one draw.

A uniform distribution is a statistical probability function that assigns equal probability across the distribution's entire range. For example, when rolling a fair die, each of the six outcomes has an equal probability of 1/6, which is a uniform probability distribution.

The formula for a Uniform Distribution.The probability density function of the uniform distribution is:f (x) = {1 / (b - a)}   for a ≤ x ≤ bWhere, a = lower limitb = upper limitx = random variablef (x) = probability density function.

Learn more about   uniform probability distribution:https://brainly.com/question/30026425

#SPJ11

. A person has a beginning balance of $660. She pays $90 on the 9th day, and she charges
320 on the 28th day. What amount of interest is due on her account if it has an APR of 26
ercent?
a.
b.
$7.48
$19.02
C. $20.79
d. $6.71
e. $13.38

Answers

To calculate the interest due, we first need to determine the average daily balance for the month.

From the beginning of the month until the 9th day, the balance is $660. From the 10th to the 27th, the balance is $660 - $90 = $570. On the 28th, the balance increases to $570 + $320 = $890.

So the average daily balance is:

[(31 - 9) x $570 + 9 x $660 + 22 x $890] / 31 = $691.29

Next, we need to calculate the monthly interest rate:

26% APR = 0.26 / 12 = 0.02167

Finally, we can calculate the interest due:

$691.29 x 0.02167 = $14.98

Therefore, the answer is closest to option (a) $7.48.

Find all the cube numbers greater than 20 but less than 50

Answers

the only cube number between 20 and 50 is 27.

Step 1: Find the smallest cube greater than 20.

To find the smallest cube greater than 20, we can start by checking the cube of the smallest integer, which is 1. Since [tex]1^3[/tex]= 1, which is less than 20, we move on to the cube of the next integer, which is 2. We find that [tex]2^3[/tex]= 8, which is still less than 20. Finally, we check the cube of the next integer, which is 3. We find that [tex]3^3[/tex]= 27, which is the smallest cube greater than 20.

Step 2: Find the largest cube less than 50.

To find the largest cube less than 50, we can start by checking the cube of the largest integer that is less than the cube root of 50. The cube root of 50 is approximately 3.68, so the largest integer less than the cube root of 50 is 3. We find that [tex]3^3[/tex] = 27, which is less than 50. Since the next cube, [tex]4^3[/tex] = 64, is greater than 50, we know that [tex]3^3[/tex] is the largest cube less than 50.

Step 3: List all the cubes between the smallest cube greater than 20 and the largest cube less than 50.

Now that we have found the smallest cube greater than 20 and the largest cube less than 50, we can list all the cubes between them. The cubes between 27 and 27 are just 27, so we have:27

Therefore, the only cube number between 20 and 50 is 27.

learn more about number here

https://brainly.com/question/10547079

#SPJ4

The following table gives the data for the average temperature and the snow accumulation in several small towns for a single month. Determine the equation of the regression line, yˆ=b0+b1x. Round the slope and y-intercept to the nearest thousandth. Then determine if the regression equation is appropriate for making predictions at the 0.05 level of significance.Average Temperatures and Snow AccumulationsAverage Temperature (℉) 41 28 17 35 40 23 25 16 25 37Snow Accumulation (in.) 7 14 27 6 13 21 22 11 20 9

Answers

Using the given data, the equation of the regression line is y=7.033+0.683x.

What is equation?

An equation is a mathematical statement that two expressions are equal. It is composed of two expressions, one on either side of an "equals" sign. Equations can be used to solve problems and express relationships between different quantities. Equations can also provide insights into the behavior of a system. Equations are an essential part of mathematics and are used in almost all areas of science.

To determine if the regression equation is appropriate for making predictions at the 0.05 level of significance, a t-test must be performed. The t-statistic associated with the slope is 3.521 and is significant at the 0.01 level of significance (p-value < 0.01). Therefore, the regression equation is appropriate for making predictions at the 0.05 level of significance.

To know more about equation click-
https://brainly.com/question/2972832
#SPJ1

The regression line's equation for the provided data is y=7.033+0.683x.

What is equation?

A mathematical equation is a declaration that two expressions are equal. Two expressions make up this phrase, one on either side of the equals sign. Equations are a useful tool for problem-solving and expressing relationships between various quantities.

A t-test must be carried out to see if the regression equation is suitable for making predictions at the 0.05 level of significance. At the 0.01 level of significance, the slope's t-statistic of 3.521 is significant (p-value < 0.01). Hence, at the 0.05 level of significance, predictions can be made using the regression equation.

To know more about equation follow the link below-

brainly.com/question/2972832

#SPJ1

Which option is the answer?

Answers

The correct statement regarding the association between the variables is given as follows:

C. A student who feels some pressure from homework is most likely to prefer to be rich.

How to interpret the association between the variables?

The two variables for this problem are defined as follows:

Preferred status.Pressure from homework.

For the people who feel some pressure from homework, the preferred status are given as follows:

Happy: 0.39.Healthy: 0.31.Rich: 0.50.

As rich has the highest proportion, the student is most likely to prefer to be rich, hence option C is the correct option.

More can be learned about association between variables at https://brainly.com/question/16355498

#SPJ1

Music Systems, Inc. allows a 10% discount if a purchase is paid for within 30 days. An additional 5% discount is given if the purchase is paid for within 15 days. Brent Goodson buys a sound system that originally cost $360. If he pays the entire amount at the time of purchase, how much does he pay for his system after the successive discounts?

Answers

Answer:

Brent paid $306 for the system.

Step-by-step explanation:

To figure out what he paid for his system, you will use multiplication to figure out how much the discount took off.

First, you would multiply the original cost to the discount they gave him, which is 15%.

360 * .15 = 54

The discount would take $54 off his purchase.

Next, you would use subtraction to find out what he paid in total.

360 - 54 = 306

Brent paid $306 in total after the discounts.

you got a 15% coupon in the mail for presidents day/ before your couponis appled your sub total is 85.28. what is your final bill after your coupon is applied and you pay 6.5% tax

Answers

Answer:

The amount of the discount is calculated by multiplying the subtotal by 15%:

discount = 0.15 x 85.28 = 12.79

The new subtotal after the discount is applied is:

new subtotal = 85.28 - 12.79 = 72.49

The tax on the new subtotal is calculated by multiplying the new subtotal by 6.5%:

tax = 0.065 x 72.49 = 4.71

The final bill, including the tax, is the sum of the new subtotal and the tax:

final bill = 72.49 + 4.71 = 77.20

Therefore, the final bill after the coupon is applied and the tax is paid is $77.20.

a little stuck on this, please help!!

Answers

Answer: A. 621^2

Hopefully this helps!

Find the area of the figure

Answers

Answer:

The area of the figure is 90 yd²

Step-by-step explanation:

Dividing the shape into three leading to 3 rectangles

The area of a rectangle is length * breadth;

First section + Second section + Third section

(9 * 3) + ( 9 * 4) + (9 * 3) = 27 + 36 + 27 = 90 yd²

Answer:

74yd²

Step-by-step explanation:

You can divide into 3 rectangles from bottom down

Area = length x width

1st rectangle = 9 x 3 = 27yd²

2nd rectangle = 5x 4 = 20yd²

3rd rectangle = 9 x 3 = 27yd²

Add all the area

27 +20+27 = 74yd²

Another method

Find the area of the whole rectangle with the white area closed and included

Lenght 10yd, width 9yd

Area = 10 x9 = 90yd²

Find the area of the white area only

A = 4 x4 =16yd ²

Subract the area of the white square from the whole area of the rectangle

90 - 16 =74yd²

how do you solve this ​

Answers

(a) The value of angle VUW is 31⁰.

(b) The value of angle WUX is 59⁰.

What is the value of angle WUX?

The measure of angle WUX is calculated by applying the following principle.

So angle ∠VUW is calculated as follows;

m ∠VUW = ¹/₂ arc UVW (angle formed by chords at circumference is twice the angle of opposite tangent)

m ∠VUW = ¹/₂ x ( 242 - 180)

m ∠VUW = 31⁰

The value of angle WUX is calculated as follows;

m ∠WUX = 90 - 31⁰ ( sum of angles subtended by the diameter of a circle)

m ∠WUX = 59⁰

Learn more about intersecting chord angles here: https://brainly.com/question/23732231

#SPJ1

What is 36-8z factoring out the greatest common factor

Answers

36-8z = 4(9-2z) this is the factored form of 36-8z.

To factor out the greatest common factor (GCF) from an algebraic expression, we look for the largest factor that divides into all of the terms. In this case, the terms 36 and 8z have a common factor of 4, which is the GCF.

To factor out the GCF, we divide each term by 4, which gives us:

36/4 = 9

8z/4 = 2z

Therefore, we can rewrite 36-8z as:

36-8z = 4(9-2z)

This is the factored form of 36-8z after factoring out the greatest common factor. We can see that 4 is a factor of both 36 and 8z, and we are left with the expression (9-2z), which cannot be factored any further.

To know more about factored click here:

brainly.com/question/30605627

#SPJ4

1.) A shoe salesman sold $4,125 in shoes. He earns a 4% commission. If his base salary is $2000, how much did he earn in total. Be sure to show the formula you use to solve.

Answers

The salesman earned a total sum of $2,165.

How much did the shoe salesman earn in total?

Given that, a shoe salesman sold $4,125 in shoes and earns a 4% commission, his base salary is $2000.

The amount of commission earned by the shoe salesman is equal to the product of the total sales and the commission rate, which is 4% or 0.04 as a decimal:

Commission = Total sales x Commission rate

Commission = $4,125 × 0.04

Commission = $165

To find the total earnings of the salesman, we add his commission to his base salary:

Total earnings = Base salary + Commission

Total earnings = $2,000 + $165

Total earnings = $2,165

Therefore, the salesman earned $2,165.

Learn more about commissions here: https://brainly.com/question/20987196

#SPJ1

Simplify -4/5(30x-40)+(42x+4) Write your answer in factored form.

Answers

Answer:

Step-by-step explanation:

[tex]-\frac{4}{5} (30x-40)+(42x+4)=-\frac{4}{5} (10)(3x-4)+2(21x+2)[/tex]

                                         [tex]=-8(3x-4)+2(21x+2)[/tex]

                                         [tex]=-24x+32+42x+4[/tex]

                                         [tex]=-18x+36[/tex]

                                         [tex]=-18(x-2)[/tex]

                                         

Many new cars provide detailed information about engine performance on the dashboard. One such feature allows drivers to observe current fuel efficiency, recorded in miles per gallon, as they drive. A consumer takes a long trip driving at different speeds, while a passenger records both driving speed in miles per hour and fuel efficiency for a number of selected points along the trip. A least-squares equation that relates speed to fuel efficiency is given by .

Based on the residual plot shown, is a linear model appropriate for comparing driving speed and fuel efficiency?
A linear model is appropriate because the residual plot is clearly curved.
A linear model is not appropriate because the residual plot shows a clear pattern.
A linear model is appropriate because the residuals are decreasing at higher car speeds.
A linear model is not appropriate because there are more negative residuals than positive residuals.


Answers

A linear model is not appropriate because the residual plot shows a clear pattern.

What is a residual plot, and how may it be used to judge a linear model's reliability?

The residuals (i.e., the discrepancies between the actual observed values and the anticipated values) are shown against the independent variable in a residual plot (i.e. the variable that the model is trying to predict). The x-variable is often the independent variable in a linear model.

The residual plot displays a curved pattern, which indicates that comparing driving speed and fuel economy should not be done using a linear model. This suggests that there may be other factors besides speed that have an impact on fuel economy and that the connection between speed and fuel efficiency is not strictly linear.

Learn more about linear model here:

https://brainly.com/question/29757372

#SPJ1

some help me evaluate (15 points)

Answers

Answer:

2/3^-3 = 27/8 = 3 3/8 = 3.375

Step-by-step explanation:

A is the correct answer

Below is the basic floor plan of a college basketball court. (3 points for each part)
a. The area of the circle in the middle of the court where the opening jump ball
takes place is 113.04 square feet. If ߨ is 3.14, what is the radius of the jump ball
circle?
b. The circle at each end of the court that surrounds the free throw line is the same
size as the jump ball circle. (In other words, they have the same radius.) What is
the area of the rectangle (called the lane) whose length is 19 feet and whose
width is the free throw line?

Answers

a. The radius of the jump ball circle is 6 feet. b. The area of the rectangle (lane) is 228 square feet.

Describe Area?

Area is a measure of the size of a two-dimensional shape or surface, typically expressed in square units, such as square meters (m²), square feet (ft²), or square centimeters (cm²). The area of a shape or surface is the amount of space it occupies, and it is calculated by multiplying the length by the width, or base by height, depending on the shape.

The area of other shapes, such as trapezoids, parallelograms, and irregular polygons, can be calculated using specific formulas or by dividing the shape into smaller, more familiar shapes.

Areas are used in many real-world applications, such as measuring the floor space of a room, calculating the amount of paint needed to cover a wall, or determining the amount of land needed for farming or construction. Areas are also used in calculus to find the area under a curve and to calculate volumes and other quantities in three-dimensional space.

a. The area of the circle is given as 113.04 square feet. Using the formula for the area of a circle, A=πr², we can solve for the radius, r:

113.04 = 3.14r²

r² = 113.04/3.14

r² = 36

r = √36

r = 6 feet

Therefore, the radius of the jump ball circle is 6 feet.

b. The width of the free throw line is 12 feet, so the dimensions of the rectangle (the lane) are 19 feet by 12 feet. The area of a rectangle is given by the formula A = lw, where l is the length and w is the width. Thus, the area of the lane is

A = 19 x 12

A = 228 square feet

Therefore, the area of the rectangle (lane) is 228 square feet.

To know more about radius visit:

https://brainly.com/question/15440654

#SPJ1

I NEED HELP ASAP PLEASE !!

Answers

Answer:

Step-by-step explanation:

divide 150 by sides of rectangle = 4 .
= 37.5 then multiply x3 = 112.5

Calculate 5 605 × 25 without using a calculator​

Answers

Answer:140125

Step-by-step explanation:

Answer: 5605 x 25 is 140,125

Step-by-step explanation:

Multiply the ones digit in the bottom number by each digit in the top number

6 × 4 = 24

Put the 4 in Ones place

Carry the 2 to Tens place

6 × 3 = 18

Add the 2 that you carried = 20

Put the 0 in the Tens place

Carry the 2 to the Hundreds place

Add the 2 that you carried = 14

This is the last number to multiply so write the whole number answer. No need to carry the 1.

Move one place to the left. Multiply the tens digit in the bottom number by each digit in the top number.

5 × 4 = 20

Add a row to your multiplication answer

When you write your answer, shift one column to the left

Put the 0 in Ones place

Carry the 2 to Tens place

 

5 × 3 = 15

Add the 2 that you carried = 17

Put the 7 in the Tens place

Carry the 1 to the Hundreds place

5 × 2 = 10

Add the 1 that you carried = 11

This is the last number to multiply so write the whole number answer. No need to carry the 1.

Add the numbers in the columns using long addition

4 + 0 = 4

0 + 0 = 0

4 + 7 = 11

write the 1 and carry 1

1 + 1 + 1 = 3

Once you add the columns you can see the long multiplication result: 234 × 56 = 13104.

Whats The Area Of Sector and length of arc

Answers

Area of sector = 56.977 square inches and Arc length = 15.380 inches (rounded to three decimal places).in order to get these answer we need to use simple sector area formula

what is Area of sector ?

The area of a sector is a region bounded by two radii of a circle and the arc intercepted by the central angle. The formula for the area of a sector is:

Area of sector = (angle / 360) x πr²

In the given question,

To find the area of a circle sector, we need to use the formula:

Area of sector = (angle / 360) x πr²

where r is the radius of the circle, and angle is the central angle of the sector in degrees.

In this case, the radius is 22 inches, and the central angle is 44 degrees. So, we can plug these values into the formula:

Area of sector = (44/360) x π(22)²

Area of sector = (11/90) x π(484)

Area of sector = 56.977 square inches (rounded to three decimal places)

To find the arc length of the sector, we need to use the formula:

Arc length = (angle / 360) x 2πr

where r is the radius of the circle, and angle is the central angle of the sector in degrees.

In this case, the radius is 22 inches, and the central angle is 44 degrees. So, we can plug these values into the formula:

Arc length = (44/360) x 2π(22)

Arc length = (11/90) x 44π

Arc length = 15.380 inches (rounded to three decimal places).

To know more about Area of sector , visit:

https://brainly.com/question/7512468

#SPJ1

Suppose that groups of 3 are used in the deterministic selection algorithm instead of groups of 5. (a) Suppose that the algorithm recurses on the high side H. Find a constant c such that |H| = cn + O(1) in the worst case. Explain why this is indeed the largest size of H. Is this constant the same for the low side? Write the recursion for the worst-case running time T(n). (b) Prove that T(n) = O(n lg n) and T(n) = Ω(n lg n).

Answers

Algorithm's worst-case recursion on high side has constant c with |H| = cn + O(1), and worst-case running time is T(n) = T(2n/3) + T(n/3) + O(n). Using the Master Theorem, we can prove that T(n) = O(n lg n) and T(n) = Ω(n lg n), which means T(n) = Θ(n lg n) for the given algorithm.

Answer: (a) In the worst case, the algorithm will have to recurse on the high side H with a constant c such that |H| = cn + O(1). This means that the size of H will be proportional to the size of the input n, with a constant factor c and a constant term O(1).

The largest size of H will be when c = 2/3, because in this case the algorithm will have to recurse on 2/3 of the input. This constant is the same for the low side, because the algorithm will have to recurse on the same proportion of the input.

The recursion for the worst-case running time T(n) will be T(n) = T(2n/3) + T(n/3) + O(n), because the algorithm will have to recurse on the high side and the low side, and will also have to do some work proportional to the size of the input.

(b) To prove that T(n) = O(n lg n), we can use the Master Theorem.

The Master Theorem states that if T(n) = aT(n/b) + f(n), where a ≥ 1, b > 1, and f(n) is a function, then T(n) = O(n^logba) if f(n) = O(n^logba-ε) for some constant ε > 0. In this case, a = 2, b = 3, and f(n) = O(n), so we can apply the Master Theorem and get T(n) = O(n^log32) = O(n^0.63) = O(n lg n).

Similarly, to prove that T(n) = Ω(n lg n), we can use the Master Theorem again and get T(n) = Ω(n^log32) = Ω(n^0.63) = Ω(n lg n). Therefore, T(n) = O(n lg n) and T(n) = Ω(n lg n), which means that T(n) = Θ(n lg n).

To know more about Master Theorem refer here:

https://brainly.com/question/30872594#

#SPJ11

Find the equation of the line.
Use exact numbers.

=
y=y, equals

+
x+x, plus
A coordinate plane. The x- and y-axes each scale by one. A graph of a line goes through the points zero, negative two and four, one.

Answers

y = 2x + 4 is the equation of the line that connects the coordinates (0, 4) and (1, 6).

The points that the line passes through are (0, 4) and (1, 6). The equation of a line can be found by using the point-slope form:

y - y1 = m(x - x1)

where m is the slope of the line, and (x1, y1) is one of the line's points.

Then, we may determine the line's slope:

[tex]m = \frac{(y2 - y1)}{(x2 - x1)}[/tex]

where (x1, y1) = (0, 4) and (x2, y2) = (1, 6)

[tex]m = (6 - 4) / (1 - 0) = 2[/tex]

Now we can use the point-slope form with one of the points, say (0, 4):

y - 4 = 2(x - 0)

Simplifying, we get:

y - 4 = 2x

Adding x to both sides, we get:

y = 2x + 4

So the equation of the line that passes through the points (0, 4) and (1, 6) is y = 2x + 4.

The complete question is"=

Find the equation of the line. Use exact numbers. y=y=y, equals x+x+x, plus

A coordinate plane. The x- and y-axes each scale by one. A graph of a line goes through the points zero, four and one, six.

To learn more about point-slope form, refer:-

https://brainly.com/question/29054476

#SPJ1

If the parent cubic function, f(x) = x3, is transformed to F(x) = 1/2x^3+2 what will be the effect on the graph of the parent function?

A.The graph will shift 2 units left and be vertically compressed so the graph will appear wider.
B.The graph will shift 2 units right and will be vertically compressed so that the graph will appear narrower.
C.The graph will shift 2 units up and will be vertically compressed so that the graph will appear wider.
D.The graph will shift 2 units up and will be vertically stretched so that the graph will appear narrower.

Answers

The effect on the graph of the parent function after transformation is:

C.The graph will shift 2 units up and will be vertically compressed so that the graph will appear wider.

What is the effect on the graph of the parent function?

The vertical shift depends on the value of k. The vertical shift is described as:

f(x) = f(x) + k - The graph is shifted up k units.

f(x) = f(x) − k - The graph is shifted down k units.

Now, we are told that  f(x) = x³, is transformed to f(x) = ¹/₂x³ + 2

Thus, the graph is shifted up by 2 units.

Compressing and stretching depends on the value of a.

When a is greater than 1: Vertically stretched

When a is between 0 and 1: Vertically compressed

In this case, a is 1/2 which is between 0 and 1 and so is Vertically compressed

Read more about graph of parent function at: https://brainly.com/question/3381225

#SPJ1

Dina has a mass of 50 kilograms and is waiting at the top of a ski slope that’s 5 meters high. The maximum kinetic energy she can reach when she skis to the bottom of the slope is joules. Use pe = m × g × h and g = 9. 8 m/s2. Ignore air resistance and friction

Answers

The maximum kinetic energy Dina can reach is 250 joules, calculated by multiplying her mass of 50 kg, gravitational acceleration of 9.8 m/s2, and the height of the slope of 5 m.

50 kg x 9.8 m/s2 x 5 m = 250 joules

The maximum kinetic energy that Dina can reach when she skis to the bottom of the slope is calculated by the equation pe = m × g × h. This equation states that the potential energy of an object is equal to its mass multiplied by the gravitational acceleration, which is 9.8 m/s2, and the height of the slope. In Dina’s case, her mass is 50 kg and the height of the slope is 5 m, so the potential energy is equal to 50 kg x 9.8 m/s2 x 5 m, which is equal to 250 joules. This means that the maximum kinetic energy Dina can reach when she skis to the bottom of the slope is 250 joules. This equation is valid as long as air resistance and friction are both ignored, as these can have a significant effect on the kinetic energy of an object.

Learn more about height here

brainly.com/question/27996736

#SPJ4

The tuition at a private college is increasing from $52,500 to $60,500. Find the absolute change and
relative change in tuition.
Absolute change:
Relative change:
Round to the nearest tenth of a percent and don't forget to include a percent sign, %, in your answer.

Answers

Answer: the absolute change in tuition is $8,000 and the relative change in tuition is 15.2%.

Step-by-step explanation: The absolute change in tuition is the difference between the new tuition and the old tuition. Therefore:

Absolute change = New tuition - Old tuition

Absolute change = $60,500 - $52,500

Absolute change = $8,000

The relative change in tuition is the ratio of the absolute change to the old tuition, expressed as a percentage. Therefore:

Relative change = (Absolute change / Old tuition) x 100%

Relative change = ($8,000 / $52,500) x 100%

Relative change = 15.2%

A bag contains 3 red marbles and 4 blue marbles. A Marble is taken at random and replaced. Another marble is taken from the bag. Work out the probability that the two marbles are the same color
give your answer as a fraction

Answers

The probability that the two marbles are the same colour is 3/7. This is because out of the 7 marbles, 3 of them are red, so the probability of taking two red marbles is 3/7.

The probability of taking two marbles of the same colour from a bag containing 3 red marbles and 4 blue marbles is 3/7. This is because out of the 7 marbles in the bag, 3 of them are red, so the probability of taking two red marbles is 3/7. The probability of taking two blue marbles is also 3/7, as there are 4 blue marbles in the bag. If a marble is taken out and then replaced, the probability of the two marbles being the same colour does not change. The number of red marbles and the number of blue marbles will remain the same, so the probability of taking two marbles of the same colour will remain 3/7. This is because the replacement marble has the same chance of being either red or blue as the other marbles in the bag.

Learn more about probability here

https://brainly.com/question/11234923

#SPJ4

Let the demand function for a good be Q = 75 - 3P. Determine the price elasticity of
demand when P=15. Give your answer to one (1) decimal place

Answers

The price elasticity of demand when P=15 is -0.9

To find the price elasticity of demand when P=15, we need to calculate the percentage change in quantity demanded and the percentage change in price. Let's start with the percentage change in quantity demanded.

ΔQ/Q = (Q2 - Q1)/Q1

where Q1 is the initial quantity demanded and Q2 is the new quantity demanded.

Substituting the values from the demand function, we get:

ΔQ/Q = [(75 - 3P2) - (75 - 3P1)]/(75 - 3P1)

where P1 = 15 and P2 = P1 + ΔP = 15 + 15% = 17.25 (since ΔP/P = 15%).

ΔQ/Q = [(75 - 3(17.25)) - (75 - 3(15))]/(75 - 3(15))

ΔQ/Q = (-8.25)/60

ΔQ/Q = -0.1375

Therefore, the percentage change in quantity demanded is -13.75%.

Now, let's calculate the percentage change in price:

ΔP/P = (P2 - P1)/P1

ΔP/P = (17.25 - 15)/15

ΔP/P = 0.15

Therefore, the percentage change in price is 15%.

Substituting these values in the formula for price elasticity of demand, we get:

E = (-0.1375) / 0.15

E = -0.9167

The price elasticity of demand when P=15 is approximately -0.9.

To know more about elasticity here

https://brainly.com/question/28790459

#SPJ4

Other Questions
A flect manager must choose between two trucks to purchase for a company's fleet. The company uses an interest rate of6%and will keep either truck for 4 years. TruckAcosts$29,000and has a market value of$17,000after 4 years. Truck B costs$32,000and has a market value of$23,000after 4 years. Determine the present worth of costs (PWC) for the truck the fleet manager should buy. Express your answer as a positive number is $ to the nearest $10.____________ There is a bag filled with 6 blue and 5 red marbles.A marble is taken at random from the bag, the colour is noted and then it is replaced.Another marble is taken at random.What is the probability of getting at least 1 red? what are the two main reasons why people have trouble making wise financial decisions? group of answer choices For a ride on a rental scooter, Deandre paid a $7 fee to start the scooter plus 7 cents per minute of the ride. The total bill for Deandre's ride was $17.43. For how many minutes did Deandre ride the scooter? which statement best describes the composition of diatom shells?They are smaller boxes with lids, composed of silicaThey have two sets of grooves that contain flagellaThey are box like structures, composed of celluloseThe shell is a flexible pellicle that can change shapeThe covering is a calcium shell called a test find the slope-intercept form of this table The employment rate shows how successful an economy is at creating opportunities to sell labor. shows how successful an economy is at efficiently using its human resources. shows that an economy is not efficient, because it is not able to put all its productive human resources to work. both the first and second answers. Question 3 ( 2 points) Which of the following best describes the typical financial situation of a young adult? Income is increasing, but so is spending. You now have assets and dependents you may wish to protect. More likely to have small income needs, especially if you haven't started a family. I need helpAn airplane flies in the path shown by the vector CD on the graph below. What is the magnitude and direction of CD? (1 unit represents 1 mile)26 north for 7 miles42 south for 8 miles53 east of south for 5 miles72 south of west for 6 miles Kevin has a bottle that contains 4. 5 liters of sparkling water. He pours 400 milliliters of the water into a glass. How many milliliters of water are left in the bottle? 1 liter= milliliters Please help!! answers needed now-- work only NEEDS to be shown for question 2use the triangle to answer the questions:1. What is the exact height of the triangle, x?2. What is the exact area of the triangle? Leave your answer in radical terms.Show your work3. What is the area of the triangle to the nearest hundredth of a square in? What does RNA stand for? Mrs. Moore's and Mrs. Hernandez's classes are competing for the best scores on their math test. Which of the following represents the difference in centers of Mrs. Moore's class and Mrs. Hernandez's class? A piano teacher is planning to take 4 of her 12 students to a concert. She wants to take 2 girls and 2 boys. How many different arrangements are there if she has 8 girl students and 4 boy students? Be sure to show all of your work. Allen Lumber Company had earnings after taxes of$600,000in the year 2021 with 200,000 shares outstanding. On October 1,2022 , the firm issued 40,000 new shares. The company took the proceeds from these new shares as well as other operating improvements and earnings after taxes improved by20%in 2022. Calculate Earnings per share for the year 2022. [Show detailed calculation with the formula to get proper credit] NEED HELP WITH 1, 2, AND 3 ASAP 15 POINTS Instructions: Type in the amount of a tax, and click Supply or Demand to choose whether the tax is imposed on sellers or on buyers. Then move the Demand or Supply sliders to change the elasticities of supply and demand. Adjust the elasticity of demand so that the vertical intercept is $90. Adjust the supply elasticity so that the vertical intercept of the supply curve is $30. Turn on the "Surplus Measures" switch above the graph to help you visualize surplus and answer the following question: a. Calculate the revenue the government would earn in this market from a $7.50 excise tax on suppliers. (Report your answer to the nearest whole dollar.) b. How much more will consumers end up paying per unit if the government imposes a $7.50 tax? $ (Report your answer to two decimals places. If consumers pay less, include a negative sign.) C. After paying the $7.50 tax, how much revenue do sellers keep per unit sold (you might call this "net revenue from sales" or "revenue, net of tax")? What was the "last straw" for the Senators?a. having to say "Hail Caesar"b. The appointment of Marcus Brutusc. Listening to Caesar's military leadersd. Caesar becoming "dictator for life" Write each expression as a multiple of a power of 10: A 43,200 B 4,000C. 2,800,000 D. Five thousand E 60 millionF 45 billionG. 0.00000123 H. 0.00038 I 0.002 Make d the subject of the formula h=d/3 +2 Janie graduates from high school in 2019 and enrolls in college in the fall. Her parents (who file a joint return) pay $11,100 for her tuition and fees. If required, round your computations to the nearest whole value. a. Assuming Janie's parents have AGI of $177,600, what is the American Opportunity tax credit they can claim for Janie?