SOMEBODY PLEASE HELP ME
slant height is 18ft base length is 40ft​

SOMEBODY PLEASE HELP MEslant Height Is 18ft Base Length Is 40ft

Answers

Answer 1

Answer:

1440 ft²

Step-by-step explanation:

The roof is made up of 4 congruent triangles.

We first solve for the area of one of the triangles using the formula:

A = (1/2) · b · h

↓ plugging in given values

A = (1/2) · 40 ft · 18 ft

A = 20 ft · 18 ft

A = 360 ft²

Now, we can solve for the surface area of the entire roof by multiplying the area of one of the triangles by 4 (because there are 4 congruent triangles).

SA = 360 ft² · 4 = 1440 ft²

Note that we can solve for the area of the triangles using the formula {A = (1/2) · b · h} because the slant height of a pyramid is perpendicular to the side of the pyramid's base that it connects to, thereby making it the height of the triangle that is the pyramid's side.


Related Questions

What is the volume of a cylinder with a height of 2 feet and a radius of 6 feet?

Use 3.14 for pi.

please help me use this for a study guide i have a test tomorrow!!

Answers

The volume of a cylinder is πr²h.

Given, that H = 2 ft and R = 6 Feet.

So V = πr²h = 3.14 x 6 x 6 x 2

                   = 3.14 * 72

                   = 226.08 ft³

Answer:

The volume of the cylinder is 226.08 feet^3

Step-by-step explanation:

The volume of a 3-d shape with sides straight up is

BaseArea × height.

For a cylinder the base is a circle. Area of a circle is pi•r^2

So the Volume of your cylinder is:

V = pi•r^2 • h

Fill in the info given.

V = 3.14 • 6^2 • 2

= 226.08

The units for volume are cubed, that is, 3rd power.

So 226.08 cubed ft

or 226.08 ft^3

Hope this helps!

What is 5 to the fourth power?

Answers

The correct response, based on the facts provided, is 625.

What does a math power mean?

When a base number is raised to an exponent in mathematics, the exponent represents how many times the base number has been multiplied, and the base amount is the factor that is multiplied by itself.

What do you call 5 to the power of?

In mathematics and mathematics, the fifth power, or subsolid, of a number, n, is obtained by multiplying five occurrences of n around each other:[tex]n⁵ = n × n × n × n × n.[/tex]The fourth power of a number or the squares of a number of times its cube can also be used to create fifth powers.

5 to the fourth power (also written as 5⁴) is:

[tex]5 × 5 × 5 × 5 = 625[/tex]

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Please, I just need some help. I will pick brainiest! Thanks :)

The resistance of an electric stove burner element is 11 ohms. What current flows through this

element when it runs off a 220 volt line?

Answers

The current flows through the element with resistance of an electric stove burner element is 11 ohms when it runs off a 220 volt line is equals to the 20 Ampere.

The resistance of an electric stove burner element is, R = 11 ohms.

The magnitude or amount of potential

difference in a line that is voltage V

= 220 V.

We have to determine the value current flows through this element.

According to ohm's law : If all physical conditions and temperature remain constant, the voltage across a conductor is proportional to the current flowing through it. The expression is, V = I x R

here, I-> the amount of current

V--> potential difference

R--> resistance

The current value flowing through the element is written by I = V/R

=> I = 220 V/11 ohms

=> I = 20 A

Hence, the required current value is 20 A.

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I need help with this question

Answers

The value of cos C is 3/5

What is trigonometric ratio?

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

In a right angle triangle, the longest side is called the hypotenuse and the other two sides are called opposite and adjacent. The line facing the acute angle( tetha) is the opposite. The ratio of the sides with the acute angle are called trigonometric ratio.

sin(tetha) = opp/ hyp

cos( tetha) = adj/ hyp

tan(tetha) = opp/adj

In the triangle, using angle C,

opposite = 4

adjascent = 3 and hypotenuse = 5

cos (C) = 3/5

therefore the value of cos (C) = 3/5

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Grant was making banners from cardboard as a picture to celebrate Parker‘s high school graduation. How many square inches of cardboard will Grant need for each banner that he makes?

5in
4in
8in
10in

Answers

For the standard size banner with a 1-inch margin, Grant would need approximately 1596 square inches of cardboard to make one banner.

Define the term area?

The amount of cardboard needed to make a banner depends on the size of the banner. If we know the dimensions of the banner, we can calculate the area of cardboard needed.

Assuming that the banner is a rectangle, let's say its width is w inches and its height is h inches.

Then, the area of the banner can be calculated as:

Area = width x height

Area = w x h

To find out how many square inches of cardboard are needed, we need to add a margin to the dimensions of the banner to account for the thickness of the cardboard. Let's say the margin is m inches.

Then, the width of the cardboard needed is (w + 2m) inches, and the height of the cardboard needed is (h + 2m) inches.

The area of the cardboard needed can be calculated as:

Area of cardboard = (width of cardboard) x (height of cardboard)

Area of cardboard = (w + 2m) x (h + 2m)

So, the total area of cardboard needed for one banner is:

Total area of cardboard = Area of cardboard + Area of margin

Total area of cardboard = (w + 2m) x (h + 2m) + 4m(w + h + 2m)

if we assume that the banner is 2 feet wide (24 inches) and 4 feet long (48 inches), and we add a margin of 1 inch on each side, then we can calculate the total area of cardboard needed as follows:

Total area of cardboard = (24 + 2) x (48 + 2) + 4(1)(24 + 48 + 2)

Total area of cardboard = 26 x 50 + 4(74)

Total area of cardboard = 1300 + 296

Total area of cardboard = 1596 square inches

So, for this standard size banner with a 1-inch margin, Grant would need approximately 1596 square inches of cardboard to make one banner.

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What is the domain of H(t)?

Answers

The domain of the given function H (t) is 0 ≤ t ≤ 40.

What is the domain of a function?

The collection of all the values for which a function is defined is known as the domain of that function.

We are given that the height of a model rocket, H (t) is a function of time since it was launched, t.

From the graph, we can see that the value of t is represented on the x- axis is ranging from 0 to 40.

Hence, the domain of the given function H (t) is 0 ≤ t ≤ 40.

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Which equation represents exponential growth?

Answers

Answer:

Option C) is the correct answer.

Olivia ate at the same restaurant three times. Each visit, she ordered a sandwich and left a $2. 25 tip. She spent a total of $39. What is an equation that represents this situation, if c represents the cost of a salad?

Answers

Each visit, Olivia ordered a sandwich and left a $2. 25 tip. She spent a total of $39. Therefore, an equation that represents this situation, if c represents the cost of a salad is  4(x+2.25) = 39.

Equation:

An equation is a formula that expresses that two expressions are equal by joining them with the equal sign =.The word comparison and its cognates in other languages ​​may have subtly different meanings; for example, in French, an equation is defined to contain one or more variables, and in English any well-formed formula composed of two expressions linked by equal signs is an equation.

According to the Question:

Let the cost of each salad = c

Therefore we can write

    4(x+2.25) = 39

or, x+ 2.5 = 39

or, x = 39 − 2.5

or, x = 39 − 2.5

or, x = 26.5

Therefore, The equation that represents this situation, if c represents the cost of a salad is 4(x+2.25) = 39.

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the alvin secretarial service procures temporary office personnel for major corporations. they have found that 50% of their invoices are paid within ten working days. a random sample of 12 invoices is checked. what is the probability that exactly 5 of the invoices will be paid within ten working days? round your answer to four decimal places.

Answers

The probability that exactly 5 of the invoices will be paid within ten working days is 19.34% or 0.1934.

This is a binomial distribution problem, with n = 12 (the sample size) and p = 0.5 (the probability of success, which is an invoice being paid within ten working days). We want to find the probability that exactly 5 of the invoices will be paid within ten working days.

Using the binomial probability formula, the probability of exactly 5 invoices being paid within ten working days is:

P(X = 5) = (12 choose 5) * (0.5)^5 * (1-0.5)^(12-5) = 0.1934

Where (12 choose 5) is the binomial coefficient, which represents the number of ways to choose 5 invoices from a sample of 12.

Therefore, the correct answer is 0.1934 rounded to four decimal places.

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You run a trail at 7 mph and walk back at 3 mph. If your total time is 2 hours, your round-trip distance is how many miles?

Answers

The answer is 6.3 miles RT

decrease 72 in the ratio 4:3​

Answers

Answer:

4+3=7

4/7*72/1=288/7=41.1

3/7*72/1=216/7=30.9

41.1:30.9=4:3

A grounds committee of a housing community plans to build a basketball court in an empty rectangular field

Answers

The mathematical equation f(w) = w² - 6w provides a representation of the remaining surface area, measured in square meters, of the field following the construction of the basketball court.

The rectangular field has an area of length x width, which can be expressed as (2w)(w) = 2w² square meters.

The basketball court has an area of length x width, which can be expressed as (w)(w+6) = w² + 6w square meters.

To find the remaining area of the field after the basketball court is built, we need to subtract the area of the basketball court from the area of the rectangular field.

So the function f(w) representing the remaining area, in square meters, is:

f(w) = 2w² - (w² + 6w)

f(w) = 2w² - w² - 6w

f(w) = w² - 6w

Therefore, the function f(w) = w² - 6w represents the area, in square meters, remaining of the field once the basketball court is built.

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Complete question:

A grounds committee of a housing community plans to build a basketball court in an empty rectangular field.

1. The rectangular field-has a width of 2w meters and a length that is 13 meters longer than its width.

2. The basketball court has a width of w meters and a length that is 6 meters longer than its width.

Which function, f(w), represents the area, in square meters, remaining of the field once the basketball court is built?

During the data preparation activities, you have identified small amount of missing numerical data. What would you do? A. I would exclude all observations with missing data. B. I would replace the missing values with the average value of that specific variable. C. Without hesitation I would exclude all variables with missing data. D. None of the above is true.

Answers

Option B is the correct answer.

The correct answer to the given question is Option B, which is "I would replace the missing values with the average value of that specific variable."What are Data Preparation activities?Data preparation activities consist of operations that change the quality, consistency, or completeness of data. These are performed to improve the data's accuracy and, as a result, the resulting insights.When it comes to numerical data, there are certain techniques you can use to deal with missing data. There are many ways to deal with missing numerical data, but one of the simplest is to use the mean or median value of the dataset to replace the missing values. This method is also known as mean imputation.Therefore, if during the data preparation activities, you have identified a small amount of missing numerical data, you should replace the missing values with the average value of that specific variable. Therefore, Option B is the correct answer. The other options such as excluding all observations with missing data, excluding all variables with missing data, and none of the above is true are not accurate.

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8) Decide whether \( X \) and \( Y \) are good candidates for linear regression in the scatterplot given.

Answers

It is not possible to determine the relationship between the two variables based on this scatterplot.

The scatterplot below does not show a good candidate for linear regression because the points do not follow a clear pattern. There is no consistent trend that shows a correlation between the X and Y variables. Therefore, it is not possible to determine the relationship between the two variables based on this scatterplot.The linear regression is a statistical technique that enables the analysis of relationships between two or more continuous variables. The method attempts to find the line of best fit, which represents the overall relationship between the two variables. A scatterplot, which is a graphical display of a dataset, can be used to determine whether two variables are good candidates for linear regression.In order for two variables to be a good candidate for linear regression, they must have a strong positive or negative correlation. In other words, the points on the scatterplot must follow a clear pattern that shows a linear relationship between the X and Y variables. If there is no clear pattern or the points are randomly scattered, then it is not possible to determine the relationship between the two variables based on a linear regression model.

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Find sin(cos^-1(1/2)) and tan (sec^-1(x/3))

Answers

√3/2  and √3x / x.

The value of sin (cos-1 (1/2)) and tan (sec-1 (x/3)) are:Sin (cos-1 (1/2)):In the trigonometry section, the cosine inverse (or arccosine) is used to find the angle whose cosine value is equal to a given number.The cosine inverse (or arccosine) of a number is the angle whose cosine is equal to that number (cos-1). Therefore, cos-1 (1/2) represents the angle that has a cosine of 1/2.The sine is the ratio of the length of the opposite side to the length of the hypotenuse of a right triangle.Sin (cos-1 (1/2)) = sqrt (1 - cos2 (cos-1 (1/2)))Since cos (cos-1 (1/2)) = 1/2, we can substitute it.Sin (cos-1 (1/2)) = sqrt (1 - (1/2)2) = sqrt (3/4) = √3/2Tan (sec-1 (x/3)):The secant inverse (or arcsecant) is used to find the angle whose secant value is equal to a given number.The secant inverse (or arcsecant) of a number is the angle whose secant is equal to that number (sec-1). Therefore, sec-1 (x/3) represents the angle that has a secant of x/3.The tangent is the ratio of the length of the opposite side to the length of the adjacent side of a right triangle.Tan (sec-1 (x/3)) = sqrt (sec2 (sec-1 (x/3)))Since sec (sec-1 (x/3)) = 3/x, we can substitute it.Tan (sec-1 (x/3)) = sqrt (3/x) = √3 /√x = (√3 /√x) × (√x /√x) = √3x / xTherefore, sin (cos-1 (1/2)) = √3/2 and tan (sec-1 (x/3)) = √3x / x.

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An item is regularly priced at $70. Shen bought it on sale for 20% off the regular price. How much did Shen pay?

Answers

An item is regularly priced at 70. Shen bought it on sale for 20% off the regular price. Shen paid 56 for the item on sale.

To determine how much Shen paid for the item on sale, follow these steps:

Find the discount amount

Subtract the discount amount from the regular price.

Calculate the discount amount.

Discount amount = Regular price × Discount percentage

Discount amount = 70 × 20%

Discount amount = 70 × 0.20

Discount amount = 14

Calculate the sale price.

Sale price = Regular price - Discount amount

Sale price = 70 - 14

Sale price = 56

Shen paid 56 for the item on sale.

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An investor buys stock in a company and in the 12 months after she invests the value of the stock decreases by 30%. By what amount will the value of the stock need to go up from there in order that the price of the stock will be equal to what investor first paid for it?

Answers

The value of the stock needs to go up by 42.86% to be equal to what the investor first paid for it.

Let's say the investor initially paid $100 for the stock. A 30% decrease in the value of the stock would mean it is now worth $70. To bring the value of the stock back up to $100, it needs to increase by $30, which is 42.86% of the current value ($30/$70).

Therefore, the value of the stock needs to go up by 42.86% from its current value for the investor to break even.

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Find the length of MN. Round to the nearest tenth of a foot.

Answers

The length of MN is equal to: 32.2 ft.

What is Pythagorean theorem?

In Mathematics, Pythagorean's theorem is modeled by the following mathematical expression:

a² + b² = c²

Where:

a, b, and c represents the length of sides of a right-angled triangle.

In order to determine the length of MN in right-angled triangle LNM, we would have to apply Pythagorean's theorem.

LN² + MN² = LM²

16² + MN² = 36²

256 + MN² = 1,296

MN² = 1,296 - 256

MN² = 1,040

MN = √1,040

MN = 32.2 ft.

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Pls answerrrrr
with simple working

Answers

Answer:

-137

Step-by-step explanation:

23, 15, 7, -1, -9,-17...........

    -8  -8   -8  -8.....

∴ -8n+23

if n = 20

-8(20)+23=-137

Answer:

-137

Step-by-step explanation:

The pattern is -8 every term so

15 + (-8(20-1)) = -137

its pretty much multiplying the rate by what term you want. you subtract the 1 because you started with the first term.

Find the value of x if ABCD is a square ( given in picture)

Answers

The diagonal of the square bisect the angles. Therefore, the angle x in the square is 60 degrees.

How to find the angle of a square?

A square is a quadrilateral with each angles equal to 90 degrees. The sum of angles in a square is 360 degrees.

The diagonal of a square is perpendicular to each other. It divided the square into two congruent isosceles triangle.

The diagonal of a square bisects the angles of a square. Therefore, the angles are 45 degrees each after bisection.

Hence, let's find the angle x in the square.

Therefore,

180 - 105 + x + 45  = 180

75 + x + 45 = 180

x + 120 = 180

subtract  120 from both sides of the equation

x + 120 - 120 = 180 - 120

x = 60 degrees

Therefore,

x = 60 degrees

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6x + 5 = 5x + 8 + 2x
Is x = 3 a solution? Explain.

Answers

x = 3 is not a solution. This is because the numbers on each side after substitution are not equal. To start, we have to replace each x with 3. This leaves us with 18 + 5 = 15 + 8 + 4. Once we simplify, we get 23 = 27. Since 23 ≠ 27, x = 3 is not a solution.

Which of these could be the area of Circle B? b. About 300 in2
c. About 900 in2
d. About 2,700 in2

Answers

The area of Circle B could be about 300 in², about 900 in², or about 2,700 in² depending on its radius.

To determine which one is correct, you would need to know the radius or diameter of the circle.

Use the formula for the area of a circle, which is

A = πr²,

where A is the area and

r is the radius.

If you have the radius, plug it into the formula and calculate the area.

Compare the calculated area to the options provided (300 in², 900 in², or 2,700 in²)

to determine which one is closest to the area of Circle B.

Without more information about Circle B's radius or diameter, it is impossible to determine the exact area from the

options given.

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I don’t understand can you help me please

Answers

-3(12) = (x-6/-3)
-36 = x-6 / -3
108 = x - 6
114 = x

7. Find the x-intercept of the line having
the equation 2x - 5y = 8.

A. -5/2
B. 4
C. -4
D. -2/5
E. 2/5

Answers

Answer:

E

Step-by-step explanation:

My answer

[tex] \frac{2}{5} [/tex]

Find the area of the figure. Round to the nearest tenth.
A 23.4 ft^2
B 28.3 ft^2
C 29.7 ft^2
D 36.0 ft^2

Answers

Answer:

C

Step-by-step explanation:

What is the area?

The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.

What is diameter?

Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.

To solve for the area of a rectangle we use the expression:

A = length × width

Inserting the dimensions of the rectangle:

4 × 4 = 36

So, the area of the rectangle is 36 square feet.

Because the rectangle has a gap on the left side in the shape of a semicircle, we can first solve for the area of that semicircle.

How do we solve for the area of a semicircle?

if you know the radius of a semicircle, you can use the formula:

[tex]A = \frac{\pi r^{2} }{2}[/tex]

But first, we need to solve for the radius.

Because the diameter is twice the size of the radius, we can use this expression:

4 ÷ 2 = 2

So, the radius of the semicircle is 2ft.

Inserting 2 into the formula for r:

[tex]A = \frac{\pi 2^{2} }{2}[/tex]

First, we need to evaluate the exponent:

[tex]A = \frac{\pi 2^{2} }{2} = \frac{\pi4}{2}[/tex]

Dividing 4 by 2 gives:

[tex]\pi2[/tex]

This simplifies to:

6.28319

Subtracting that from the area of the rectangle:

36 - 6.28319 = 29.71681 = [tex]29.7ft^{2}[/tex] (Rounded to the nearest tenth)

Therefore, the answer is C.

PLEASE HELP ME WITH GEOMETRY 4 QUESTIONS FOR 20 POINTS
Please help i dont understand your help helps me alot
Thank you so so much <3

Answers

Answer:

14

Step-by-step explanation:

6/9 = x+2/24

Cross multiply to expand

9( x + 2) = 24x 6

9x + 18 = 144

Subract 18 from both sides

9x = 126 Divide both sides by 9

X = 14

10/ 2x-9 = 20/9

Cross multiply

20( 2x - 9) = 10 x 9

40x - 180 = 90

Add 180 to both sides

40x = 270

Divide both sides by 40

X = 6.75

Scale question

Convert 240miles to inches

240 x 63, 660 = 15,206,400

Ratio is 3:15,206,400

Reduce to lowest term by divide both sides by 3

Scale is 1: 5068800

make a mathematical expression of the dimension

Answers

The expression of the dimensions are 3w - 2 by w

How to determine the expression of the dimensions

From the question, we have the following parameters that can be used in our computation:

The length of a rectangle is 2 less than 3 times as long as the width

Using the following variable definitions, we have

l = the length of the rectanglew = the width of the rectangle

Based on the given information, we can express the length (l) in terms of the width (w):

l = 3w - 2

Hence, the dimensions are 3w - 2 by w

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Properties of trapezoids UC^(9) Quadrilateral HIJK is an isosceles trapezoid, HJ=7z-94, and IK=2z+76. What is the value of z ?

Answers

The value of z can be determined by solving the equation 7z-94 = 2z+76, which yields z=35.

To determine the value of z in the given equation, it is necessary to solve the equation 7z-94 = 2z+76. Begin by subtracting 2z from both sides of the equation, which yields 7z-2z-94 = 76. Simplifying this yields 5z-94 = 76. To solve for z, add 94 to both sides of the equation, which yields 5z = 170. Dividing both sides by 5 yields z = 34. Since the equation is not asking for an exact value, it can be rounded to the nearest whole number, which is 35. Therefore, the value of z is 35.

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Point P divides the directed line segment from point A(-4,-1) to point B(6,4) in the ratio 2:3. The coordinates of point P are

Answers

The coordinates of point P are(0,1)

Line segment:

A part of line which has 2 end points and it is also can be measured

example:

the objects which has starting and the ending point can be taken for consideration

pencil: which is straight and has a fixed length of about 16-22 cm

coordinates:

The intersection of points in a grid system

example the points(25,10) is 25 units long and 10 units up

A(-4,-1) B(6,4) in the ratio 2:3

x1=-4, x2=6,y1=-1,y2=4,m=2,n=3

x=(mx2+nx1)/m+n

=2*6+3*(-4)/2+3

=12-12/5

=0/5

=0

y=my2=ny1/m+n

=2*4+3(-1)/2+3

=8-3/5

=5/5

=1

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PLEASE HELLP MY WITH THIS An experiment consists of randomly drawing a card and recording its suit, then rolling a die and recording whether it is even or odd. The following tree diagram represents some of the possible outcomes. A 2-column tree diagram: Card & Die. The card column shows Heart, Diamond, & Club, each of which branches to even & odd in the Die column.What needs to be done to complete the tree diagram?

Answers

Add "Spade" to the Card column, with branches to "Even" and "Odd" in the Die column. Thus, option 3 is correct.

What is the probability?

Prοbability is the study οf the chances οf οccurrence οf a result, which are οbtained by the ratiο between favοrable cases and pοssible cases.

Tο cοmplete the tree diagram, we need tο add the missing branch fοr the spades suit in the card cοlumn.

Here is the cοmpleted tree diagram:

We have added the missing branch fοr the spades suit, which alsο branches intο even and οdd fοr the die rοll. We have alsο filled in the οutcοmes fοr each branch οf the tree, which include the pοssible values fοr the card (2, 3, 4, 5, 6, οr 1 fοr Ace) and the die rοll (even οr οdd).

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Sickle cell disease is a recessive disorder. If both parents are carriers (heterozygous) of sickle cell, what is the chance that their offspring will inherit the sickle cell disorder? 100% 75% 50% 25% 0% Simplify radical expression slayer root 192s^2 a high school football player who was injured when his helmet failed to protect his head from severe injury after a normal tackle in a game wants to sue the helmet manufacturer for damages. through the discovery process, it was found the manufacturer knew its football helmets did not perform as well as others on crown (i.e., head) impacts. what would have been the best step for the manufacturer to have taken to avoid a lawsuit? What is the area of the triangle in the coordinate plane?(A) 36 units(B) 38 units(C) 66 units(D) 72 units_______________________________(reporting wrong/spam answers)(giving brainliest to correct answers)_______________________________ Evaluate the following using Cauchy Integral Theorem; The integral of 3z+1/(z(z-2)^2) Compilation of fashion accessories articles in the Philippines A passenger train has tickets available for 12 window seats and 8 aisle seats. The next person to buy a ticket will be randomly selected to one of those seats. What is the probability that the next passenger will be assigned to an aisle seat? he sum of two numbers is 38. The smaller number is 14 less than the larger number. What are the numbers? Select the graph that correctly represents (x) = 12(x 3)^2 6. juanita is a 28 year old pregnant woman at 38 weeks gestation who is diagnosed with a lower urinary tract infection. she is healthy with no drug allergies. appropriate first-line therapy for her uti would be: What technology did the U.S. Geological Survey (USGS) develop to help monitor volcanic activity at the five monitoring stations in the continental U.S., Alaska, Hawai'i, and the Mariana Islands?A.) National Seismology CenterB.) Volcano Notification Service (VNS)C.) National Volcano Early Warning System (NVEWS)D.) Federal Emergency Management Agency (FEMA) travaille sur la matrise de soi et la gestion des motions Where is there a striking deviation in the dot plot above three times a number increased by four is less than -62 Question 2 (25 Marks) Beef and Steak are prestigious chefs and partners in an upmarket gourmet restaurant trading as "The Grill House". They share profits and losses in the ratio 3:2. On 31 July 2021 the statement of financial position indicated the following: 1. On 1 August 2021 Mouton obtained a one third (1/3) in interest in the partnership by depositingN$450000into the cheque account of the partnership. 2. The partners do not want to show the general reserve on the statement of financial position after the admission of Mouton. 3. The partnership agreement states the following:3.1Each partner is entitled to salary of N$5000per month. 3.2 Partners are entitled to interest on capital of10%of the opening balance of their capital accounts. Newly admitted partners earn10%of their contribution apportioned for the number of months that they served as partners. 4. Sales for the year amounted toN$3000000. All sales were made in cash. 5. Inventory purchases for the year amounted toN$2500000. All purchases were made in cash. 6. Inventory on hand at 31 July 2022 amounted toN$320000. 7. Operating expenses ofN$160000was incurred and paid in cash during the year. 8. Cash withdrawals by the partners during the year were as follows: REQUIRED: 1. Calculate the new profit share ratio after the admission of Mouton on 1 August 2021. (2 marks) 2. Provide the journal entries to record the admission of Mouton on 1 August 2021. Journal narrations are not required. ( 8 marks) 3. Prepare the statement of financial position of the partnership on 31 July 2022. (15 marks) Comparative figures are not required. What is true of carbon atoms?a They are not found in living organisms.b They have five valence electrons.c They can form up to four covalent bonds.d The do not bond with other elements. which expressions are equivalent to 7 9? our client turned 22 years old today and expects to start working today. Your client expects to be paid once a year, at the end of each year. Your client expects to be paid $50,000 at the end of the first year and for this amount to grow each year by five percent. Your client expects to earn eight percent per year on all investments forever.Your clients pays a Social Security tax of 6.2% on all income at or below the Social Security taxable income limit. If your clients income is above the threshold then your clients tax is capped, i.e., your client would pay 6.2% of the threshold. The current Social Security taxable income limit is $160,200 and this threshold is expected to grow by 4% each year forever.Your client can either retire at 62, 65, or 70 years. Once your client retires, this individual expects to receive Social Security disbursements once per year, with the first payment one year after the retirement date, and continuing in annual increments. So, if an individual retires at 62, the first Social Security disbursement would be at 63.Today, Social Security paid $13,236 to individuals that retired at 62 years of age, $16,809.72 to individuals that retired at 65 years of age, and $23,427.72 to individuals that retired at 70 years of age. In one year, these disbursements will be $13,765.44 to individuals that retired at 62 years of age, $17,482.11 to individuals that retired at 65 years of age, and $24,364.83 to individuals that retired at 70 years of age. After one year, these disbursements are expected to continue to grow each year by four percent forever.You should assume that your client receives a salary in the year your client retires and starts receiving social security one year after the retirement date Trapezoidal rule T_{2} gives integrate f(x) dx from 0 to 1 = 2 and also using Trapezoidal rule T_{4} gives integrate f(x) dx from 0 to 1 = 1.75 If f(0.25) = f(0.75) = a then what is the value of a? 9. Kinetic molecular theory postulates are written for ideal gas behavior. In reality, gases to not behave ideally. For example, water molecules are polar and create surface tension through hydrogen bonds, even in vapor form. This explains why clouds are formed. Which postulate of the kinetic molecular theory is untrue for the formation of clouds?