Miranna is offered a 75% raise of her hourly rate to reach a private lesson, which would make her hourly pay $21.88.
This is calculated by taking the original hourly rate of $12.50 and multiplying it by 1.75 (the percent raise she is getting).
The relationship between the percent raise and Miranna's new pay is the same as the relationship between her original pay and her new pay. The percent raise (75%) is equal to the scale factor (1.75) between her original and new pay. In other words, the percent raise is a measure of the degree of increase between her original pay and her new pay.
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A classroom has 23 grade twelves (13 females and 10 males) and 11 grade elevens (7 females and 4 males). If the teacher randomly chooses a student at random, what is the probability that it is a female or a grade eleven?
P(female or grade 11) = 31/34
Given that a classroom has 23 grade twelves (13 females and 10 males) and 11 grade elevens (7 females and 4 males). The teacher randomly chooses a student at random, what is the probability that it is a female or a grade eleven?The sample space is the total number of students which is given by23 + 11 = 34.There are 13 females in the grade 12 and 7 females in the grade 11. So the total number of female students is 13 + 7 = 20.There are 11 grade 11 students. So the total number of grade 11 students is 11.The total number of students that are female or in grade 11 is obtained by adding the two:20 + 11 = 31.So the probability of choosing a female or grade 11 student is:P(female or grade 11) = 31/34
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(a-b)x2-(a+b)x+2b ssolve this quadratic equation plsss
The two solutions to the given quadratic equation are x = (a+b + √(a2 - 6ab + 8b2))/(2(a-b)) and x = (a+b - √(a2 - 6ab + 8b2))/(2(a-b)).
The general form of a quadratic equation is ax2 + bx + c = 0. To solve this equation, we need to use the Quadratic Formula. The Quadratic Formula is [tex]x = [-b ± √(b2 - 4ac)]/ 2a[/tex].
We can plug the values for a, b, and c into this equation. For this equation, a = (a-b), b = -(a+b), and c = 2b.
Therefore, using the Quadratic Formula, we get [tex]x = [-(-(a+b)) ± √((-(a+b))2 - 4(a-b)(2b))]/ 2(a-b)[/tex].
Simplifying this, we get [tex]x = [a+b ± √(a2 + 2ab - 4ab - 8b2)]/(2(a-b))[/tex].
Finally, we can solve for the two values of x by computing the two cases. In the first case, we add the square root, and in the second case, we subtract the square root. This gives us the two solutions [tex]x = [(a+b + √(a2 - 6ab + 8b2))/(2(a-b))][/tex] and [tex]x = [(a+b - √(a2 - 6ab + 8b2))/(2(a-b))][/tex].
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A cabinet maker can build a kitchen island in 11 hours. If the cabinet maker's apprentice helps, they can construct the kitchen island in 8 hours. How long would it take apprentice to complete a kitchen island alone?
It would take the apprentice alone 11 hours to complete a kitchen island, the same amount of time it took the cabinet maker and apprentice together.
When the cabinet maker and apprentice work together, they are able to complete the kitchen island in 8 hours. This implies that the apprentice is able to do their portion of the work in 3 hours, while the cabinet maker does their portion in 8 hours. Therefore, if the apprentice were to work on the kitchen island alone, it would take them 11 hours to complete it, the same amount of time it took the cabinet maker and apprentice together. This is because the apprentice does not have the same level of experience and expertise as the cabinet maker, so they are not able to complete the same amount of work in the same amount of time as the cabinet maker. The cabinet maker is able to work faster and more efficiently, which is why they are able to complete the kitchen island in 8 hours, while the apprentice would need 11 hours to complete the same task.
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The goal of the exercise is to find the year in which cigarette consumption reach
The exponential function of the scenario is [tex]C(t) = C_0 * e^{(r\times t)}[/tex]
To achieve this goal, we need a mathematical model that relates cigarette consumption to time. One such model is the following exponential function:
[tex]C(t) = C_0 * e^{(r\times t)}[/tex]
Here, C_0 is the initial cigarette consumption, r is the growth rate, and t is the time variable. This model assumes that cigarette consumption grows exponentially over time.
We can use this model to predict cigarette consumption at any given time t.
To find the year in which cigarette consumption reaches C_goal, we need to solve for t_goal in the equation above. That is, we need to find the value of t for which C(t) = C_goal. To do this, we can rearrange the equation above and solve for t:
[tex]t_{goal} = (1/r) \times ln(C_{goal}/C_0)[/tex]
Here, ln denotes the natural logarithm. This equation gives us the value of t for which cigarette consumption reaches the goal amount C_goal.
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Complete Question:
The goal of the exercise is to find the year in which cigarette consumption reach. Define the function for the given scenario?
when ball hits the sweet spot, it will travel. a greater distance if it hits any other part of the bat. a shot for distance than if it hits any other part of the bat .the same distance as if it hits any other part of the bat . no distance at all
A greater distance if it hits any other part of the bat.
When a ball hits the sweet spot of a bat, it will travel a greater distance than if it hits any other part of the bat. This is because the sweet spot is part of the bat where the energy transfer from the bat to the ball is most efficient, resulting in a more powerful hit and greater distance travelled by the ball.
This is because the sweet spot is part of the bat where the energy transfer from the bat to the ball is most efficient, resulting in a more powerful hit and greater distance travelled by the ball.
If the ball hits any other part of the bat, the energy transfer is less efficient, resulting in a less powerful hit and a shorter distance travelled by the ball.
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I need help on quiz 4-1 classifying and solving for sides/ angles
According the given question the side οf the WY is 25.
What is cοngruent by ASA?Angle-Side-Angle cοngruence rule is referred tο as ASA. Twο triangles are said tο be cοngruent accοrding tο this rule if any twο angles and the side included between them οf οne triangle are equal tο the cοrrespοnding angles and the included side οf the οther triangle.
See if the twο triangles given, ABC and XYZ, are cοngruent accοrding tο the ASA rule by lοοking at the image prοvided belοw. Accοrding tο the ASA cοngruence rule, twο triangles are said tο be cοngruent if twο οf their respective sides and angles are equal tο thοse οf twο οther triangles and their respective sides and angles, respectively.
BC = BD
m< B=13x-35
m < C = 5x-19
m < D = 2x + 14
m< B=13*11 - 35
m< B=143-35
m< B = 108
m<C=5x-19
m<C=511 - 19
m < C = 55-19
m < C = 36
This is sο because the theοrem οf SAS (Side-Angle-Side)
Sο, we have:
9x117x - 3
WY = 7x-3
WY = 7*4-3
WY = 28-3
WY = 25
Hence the side οf the WY is 25.
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Merisa spent 3/4 of her money on a dictionary. She spent 1/2 of the remainder on a calculator. The dictionary cost $30 more than the calculator. How much did the dictionary cost?
Step-by-step explanation:
she has x money at the beginning.
(3/4)x = dictionary
the remainder is (1/4)x.
1/2 of that (1/4 × 1/2 = 1/8) is the calculator.
that means she has (1/4)x - (1/8)x = (1/8)x left.
the dictionary is $30 more than the calculator.
so,
(3/4)x = (1/8)x + 30
(6/8)x = (1/8)x + 30
(5/8)x = 30
5x = 240
x = 240/5 = $48
so, the dictionary cost
(3/4)x = (3/4)×48 = 3×12 = $36
What do I put (please do not put a complicated answer) and this is 7th grade math
Answer:
x = 17
Step-by-step explanation:
We Know
(6x + 3) + (7x - 44) = 180°
Let's solve
6x + 3 + 7x - 44 = 180
13x - 41 = 180
13x = 221
x = 17°
So, x = 17°
Let \( \alpha \) and \( \beta \) be first quadrant angles with \( \cos (\alpha)=\frac{\sqrt{5}}{10} \) and \( \sin (\beta)=\frac{\sqrt{10}}{10} \). Find \( \cos (\alpha+\beta) \).
The final answer is: cos(α + β) = (3i - √190) / 10.
\( \alpha \) and \( \beta \) are first quadrant angles with \( \cos (\alpha)=\frac{\sqrt{5}}{10} \) and \( \sin (\beta)=\frac{\sqrt{10}}{10} \). We must now compute \( \cos (\alpha+\beta) \).Solution:Given, α and β are the first quadrant angles with:cos(α) = √5 / 10 (1)sin(β) = √10 / 10 (2)We know that sin2θ + cos2θ = 1Also, we know sin(θ1 + θ2) = sinθ1 cosθ2 + cosθ1 sinθ2cos(θ1 + θ2) = cosθ1 cosθ2 - sinθ1 sinθ2Now, we will compute:cos2α = 1 - sin2αcos2α = 1 - [sin(α)]2cos2α = 1 - [1 - cos2α]cos2α = 2cos2α - 1cos2α = (2cos2α - 1) / 2Putting the value of cos(α) from (1), we get:cos2α = (2 × (√5 / 10)2 - 1) / 2cos2α = (5 / 25 - 1) / 2cos2α = -3 / 25cosα = √(-3 / 25)cosα = i√3 / 5Similarly, we can compute the value of sinβ by squaring equation (2).cos2β = 1 - sin2βcos2β = 1 - [sin(β)]2cos2β = 1 - [10 / 100]cos2β = 9 / 10cosβ = √(9 / 10)cosβ = 3√10 / 10Now, we can find the value of sinα from equation (1) by squaring it:cos2α + sin2α = 1sin2α = 1 - cos2αsin2α = 1 - (5 / 100)sin2α = 95 / 100sinα = √(95 / 100)sinα = √19 / 10We have, cos(α + β) = cosα cosβ - sinα sinβNow, we will plug in the values we computed:cos(α + β) = (i√3 / 5) × (3√10 / 10) - (√19 / 10) × (√10 / 10)cos(α + β) = 3i / 5 - √190 / 100cos(α + β) = (3i - √190) / 10The final answer is: cos(α + β) = (3i - √190) / 10.
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A greengrocer normally sells 20 carrots for £2.80. In a sale, the cost of the carrots is reduced by 30%. Work out how much 180 carrots cost in the sale. Give your answer in pounds (£).
On solving the provided question we cans ay that function In the auction, 180 carrots cost £18.00.
what is function?Mathematicians examine numbers with their modifications, equations and associated structures, forms and their locations, and feasible positions for these things. The term "function" indicates the connection between a collection of inputs, each of which has a corresponding output. A function is a connection of inputs and outputs where each supply leads to a specific, identifiable outcome. Each function is assigned a domain, a codomain, or a scope. The letter f is widely used to denote functions (x). The symbol for entry is an x. The four primary types of accessible capabilities are on functions, yet another skills, so multiple capabilities, in capabilities, and on operations.
The initial cost of 20 carrots was £2.80. Thus the cost per carrot is £2.80 20 = £0.14.
If the price is decreased by 30%, the new carrot price is: £0.14 - (30% £0.14) = £0.098 or £0.10 (rounded to the nearest penny)
As a result, 180 carrots at the current sale price will cost: 180 £0.10 = £18.00
In the auction, 180 carrots cost £18.00.
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There are 5,500 milliliters in a bottle of laundry detergent. How many liters is this? 4. 5 liters 5. 5 liters 3 liters 6 liters
As per the conversion factor, the amount of laundry detergent in liter is 5.5 liters (option b).
When we want to convert units from one measurement system to another, we use something called a conversion factor. A conversion factor is a ratio that expresses the relationship between two different units of measurement. In this case, we want to convert milliliters (mL) to liters (L).
The conversion factor we need to use is:
1 liter = 1000 milliliters
This means that there are 1000 mL in one liter. We can use this conversion factor to convert 5,500 mL to liters.
To do this, we need to set up a ratio using the conversion factor:
5,500 mL * (1 L/1000 mL)
The units of milliliters cancel out, leaving us with liters:
5,500/1000 = 5.5 L
So the answer is 5.5 liters.
Hence the correct option is B.
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Beginning with the graph of f(x) = x^2, what is the transformations are needed to form g(x) = 1/2(x+4)^2-3
A. The graph of g(x) is narrower than f(x) and is shifted to the right 4 units and down 3 units.
B. The graph of g(x) is narrower than f(x) and is shifted to the left 4 units and down 3 units.
C. The graph of g(x) is wider than f(x) and is shifted to the left 4 units an down 3 units.
D. The graph of g(x) is wider than f(x) and is shifted to the right 4 units and down 3 units.
Answer:
C. The graph of g(x) is wider than f(x) and is shifted to the left 4 units and down 3 units.
Step-by-step explanation:
You want to know the transformations needed to form g(x) = 1/2(x+4)^2 -3 from f(x) = x^2.
TransformationsThe transformations ...
f(x) ⇒ g(x) = c·f(x -h) +k
represent vertical expansion by a factor of 'c', right shift by 'h' units, and an upward shift of 'k' units.
ApplicationHere, we have c=1/2, h=-4, k=-3. These mean the function f(x) has been vertically compressed to 1/2 its original height, and shifted left 4 and down 3.
The vertical compression will cause the graph to appear to be wider for any given distance above the vertex.
Lupe measured the height of three rectangular prisms she was using to pack up some clothing. The large box was 7/8 of a meter tall. The medium box was 2/6 shorter than the large box. The small box was 1/4 of a meter shorter than the medium box. If the boxes are all stacked on top of each other, what is their combined weight
If the boxes are all stacked on top of each other, what is their combined height is 11/8
Height of large box = 7/8m
Height of medium box = 2/6m shorter than large box
Height of small box = 1/4m shorter than the medium box
Calculating the height of the medium and small boxes.
Medium box height x large box height
= 2/6 × 7/8
= 7/24
Since, the small box is 1/4 of a meter shorter than the medium box, therefore its height -
= 7/24 - 1/4
= 5/24
Calculating the height of three boxes -
7/8 + 7/24 + 5/24
= 21/24 + 7/24 + 5/24
= 33/24
= 11/8
Correct Question:
Lupe measured the height of three rectangular prisms she was using to pack up some clothing. The large box was 7/8 of a meter tall. The medium box was 2/6 shorter than the large box. The small box was 1/4 of a meter shorter than the medium box. If the boxes are all stacked on top of each other, what is their combined height?
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Find X
y-3+8x*=4X7-5x
The value of 'x' for the given equation is found as: x = 14.
Explain the term equation?From left to right, locate the number, variable, or number multiplied by either a variable before the expression's first operator to determine its first term. The description of an equation in algebra is a formal statement that demonstrates the equality of two mathematical expressions.For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.The given equation is-
- 3x = 4*7 - 5x
Simplifying:
- 3x = 28 - 5x
Collect variables on one side and constants on other side.
-3x + 5x = 28
Subtracting the variables:
2x = 28
Dividing both sides by 2.
x = 14
Thus, the value of 'x' for the given equation is found as: x = 14.
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The correct question is-
Find x.
- 3x = 4*7 - 5x
Keshawn has � x nickels and � y dimes, having a maximum of 14 coins worth a minimum of $1 combined. A maximum of 4 of the coins are nickels. Solve this system of inequalities graphically and determine one possible solution. Number\
One possible solution is Keshawn has 2 nickels and 12 dimes.
What is inequality equation?
An inequality equation is a mathematical expression that compares two values or expressions using inequality symbols such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to)
To solve the system of inequalities graphically, we can plot the two inequalities on the coordinate plane and shade the region that satisfies both inequalities. Let x be the number of nickels and y be the number of dimes.
The first inequality represents the maximum number of coins:
x + y ≤ 14
The second inequality represents the minimum value of the coins:
0.05x + 0.1y ≥ 1
We can rewrite this inequality as:
x + 2y ≥ 20
Now we can plot these two inequalities on the coordinate plane:
Draw a horizontal line for x + y = 14.
Draw a diagonal line with negative slope for x + 2y = 20.
Shade the region below the diagonal line and to the left of the horizontal line.
The shaded region represents the feasible region that satisfies both inequalities. We also know that x ≤ 4 since a maximum of 4 coins are nickels.
One possible solution that lies in the shaded region and satisfies the constraint x ≤ 4 is (x, y) = (2, 12). This means Keshawn has 2 nickels and 12 dimes. We can check that this solution satisfies both inequalities:
2 + 12 = 14 (maximum number of coins)
0.05(2) + 0.1(12) = 1.2 ≥ 1 (minimum value of the coins)
Therefore, one possible solution is Keshawn has 2 nickels and 12 dimes.
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Determine whether the equation is true or false.
By answering the presented question, we may conclude that When x equals 7, the equation holds true. As a result, "True" is the correct response.
What is equation?A math equation is a technique that links two assertions and denotes equivalence using the equals sign (=). In algebra, an equation is a mathematical statement that proves the equality of two mathematical expressions. For example, in the equation 3x + 5 = 14, the equal sign separates the numbers 3x + 5 and 14. A mathematical formula may be used to understand the link between the two phrases written on either side of a letter. The logo and the programmed are usually interchangeable. As an example, 2x - 4 equals 2.
The image's equation is:
2x + 4 = 18
We must solve for x to discover if the equation is true or untrue.
When we subtract 4 from both sides, we get:
2x = 14
When we divide both sides by 2, we get:
x = 7
When x equals 7, the equation holds true. As a result, "True" is the correct response.
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Nora made 3 gallons of lemonade. Which of the following can be used to find the number of pints of lemonade that Nora made?
Choices:
3x2x3
3x4x2
3x3x2
3x4x3
i need help with math!!
The factor that f increases by when the exponent increases is :
Increase by 1 - 3Increase by 2 - 9 Increase by 1/ 2 - √ 3How to find the change when factor increases ?When the exponent x increases by 1, the function value increases by a factor of 3. When the exponent x increases by 2, the function value increases by a factor of 9.
When the exponent x increases by 1/2, the function value increases by a factor of √3. We can see this by evaluating as follows :
= (3^ ( 1 / 2 ) )
= √3
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Jack collects the lengths of some animals and records the data below.
57 55 59 60 45 47 50 45 48 50 42
Put the data in a frequency table.
Length (cm)
40 ≤ y ≤ 45
45 ≤ y ≤ 50
50 ≤ y ≤ 55
55 ≤ y ≤ 60
The length that is οver οr cοmparable tο 40 albeit less than 45 is denοted by the expressiοn "40 ≤ y < 45". Similar tο the previοus example, "45 ≤ y < 50" indicates that nοw the length is greater than οr equal tο 45 albeit less than 50, and sο οn.
What dοes length signify in math?When describing an οrganism's size οr the distance between twο pοints, the wοrd "length" is οften emplοyed. Fοr instance, the table belοw reveals actual length οf a ruler.
The data must be divided intο intervals, and the frequency οf each interval must be cοunted in οrder tο build a frequency table again fοr prοvided data.
We οbtain the fοllοwing results using a 5-interval size:
40 ≤ y < 45: 1 value (42)
45 ≤ y < 50: 4 values (45, 47, 48, 50)
50 ≤ y < 55: 2 values (50, 55)
55 ≤ y < 60: 3 values (57, 59, 60)
Sο, the fοllοwing is the frequency chart fοr the prοvided data:
Length (cm) Frequency
40 ≤ y < 45 1
45 ≤ y < 50 4
50 ≤ y < 55 2
55 ≤ y < 60 3
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A school is holding a carnival and hopes to raise $500. Child ticket cost $3 and adult tickets cost $5. If the school sells x child tickets and y adult tickets, then the equation 3x + 5y = 500 expresses the fact that the school raised exactly $500 from ticket sales.
1. Solve the equation for x.
2. Explain when it might be helpful to rewrite the equation this way.
Answer:
To solve the equation 3x + 5y = 500 for x, we need to isolate x on one side of the equation. First, we can subtract 5y from both sides to get 3x = 500 - 5y. Then, we can divide both sides by 3 to get x = (500 - 5y) / 3.
It might be helpful to rewrite the equation in terms of one variable if we want to solve for one unknown quantity in terms of another. In this case, rewriting the equation in terms of x allows us to see how many child tickets the school needs to sell to raise exactly $500, given any number of adult tickets sold. This can be useful in planning and budgeting for the carnival.
Step-by-step explanation:
1). Solve this 11-11x11+11=?
After solving the given numbers with (PEMDAS) 11 - 11 x 11 + 11 = we get the answer of -88.
To solve 11-11x11+11, we need to use the order of operations, which is a set of rules that dictate the order in which mathematical operations should be performed. The order of operations is:
Parentheses
Exponents
Multiplication and Division (from left to right)
Addition and Subtraction (from left to right)
Using this order of operations, we can simplify the expression as follows:
11 - 11 x 11 + 11
= 11 - 121 + 11 (since multiplication should be done before addition and subtraction)
= -99 + 11
= -88
Therefore, the value of 11-11x11+11 is -88.
In general, when simplifying expressions, it is important to follow the order of operations to ensure that you get the correct answer. Additionally, it is always a good idea to check your work by plugging the answer back into the original expression and making sure that it is correct.
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A school guidance counselor is concerned that a greater proportion of high school students are working part-time jobs during the school year than a decade ago. A decade ago, 28% of high school students worked a part-time job during the school year. To investigate whether the proportion is greater today, a random sample of 80 high school students is selected. It is discovered that 37.5% of them work part-time jobs during the school year. The guidance counselor would like to know if the data provide convincing evidence that the true proportion of all high school students who work a part-time job during the school year is greater than 0.28. What are the appropriate hypotheses for this test?
H0: p = 0.28 versus Ha: p < 0.28, where p = the proportion of all high school students who work a part-time job during the school year.
H0: p = 0.28 versus Ha: p > 0.28, where p = the proportion of all high school students who work a part-time job during the school year.
H0: p = 0.28 versus Ha: p < 0.28, where p = the proportion of high school students in the sample who work a part-time job during the school year.
H0: p = 0.28 versus Ha: p > 0.28, where p = the proportion of high school students in the sample who work a part-time job during the school year.
answer B
Option D has the correct direction of the alternative hypothesis but uses the sample proportion in the null hypothesis.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
The appropriate hypotheses for this test are:
H0: p = 0.28 (the proportion of all high school students who work a part-time job during the school year is 0.28)
Ha: p > 0.28 (the proportion of all high school students who work a part-time job during the school year is greater than 0.28)
This is because the guidance counselor is interested in whether the proportion of all high school students who work part-time jobs during the school year is greater than 0.28, which was the proportion a decade ago. The null hypothesis states that the proportion is 0.28, and the alternative hypothesis states that it is greater than 0.28. Since the alternative hypothesis is one-sided (greater than), this is a one-tailed test.
Option B correctly states the null and alternative hypotheses with the appropriate population proportion in the null hypothesis and the direction of the alternative hypothesis. Options A and C use the sample proportion instead of the population proportion in the null hypothesis. Therefore, Option D has the correct direction of the alternative hypothesis but uses the sample proportion in the null hypothesis.
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Answer: The Answer is B!
Step-by-step explanation:
EDGE 2023
Pls help help Algebra1
The expanded form that can be used to factor the function is 12x² - 18x + 10x - 15.
option C,
What is the factorization of the equation?
To factor 12x² - 8x - 15 by grouping, we need to split the middle term -8x into two terms whose sum is -8x and whose product is -180 (the product of 12 and -15).
We can do this by splitting -8x into -18x and +10x:
12x² - 18x + 10x - 15
Now, we can group the first two terms together and the last two terms together, and factor out the greatest common factor from each group:
6x(2x - 3) + 5(2x - 3)
Notice that we have a common factor of (2x - 3) in both groups, so we can factor it out:
(2x - 3)(6x + 5)
Therefore, the factored form of 12x² - 8x - 15 by grouping is (2x - 3)(6x + 5).
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What is the volume of the prism, in cubic centimeters?
Answer:
Vol = 120 cm^3
Step-by-step explanation:
The volume of a prism is:
Vol = BaseArea×height
Here, the base is the triangle.
Area_triangle
= 1/2bh
= 1/2•6•4
= 12 cm^2
The height is 10cm (and we don't even need the 5cm measurement given)
Volume
= BaseArea × height
= 12 × 10
= 120 cm^3
In Figure 1, name the relationship between the following
airs of angles.
a. ZBOD and ZDOA
D. ZCOB and
C. ZBOC and ZCOA
lomont of an angle that measures 15°
The relationship between the following pairs of angles.
a. ∠ BOD and ∠ DOA are linear pairs
D. ∠ COB and C. ∠ BOC and ∠ COA are linear pairs
What are linear pairs?Linear pairs are two adjacent angles formed when two straight lines intersect.
The two angles in a linear pair are always supplementary, which means they add up to 180 degrees.
In other words, if one angle in a linear pair measures x degrees, then the other angle measures (180 - x) degrees. Linear pairs are useful in geometry and often used in proofs and problem-solving.
In the problem, the pairs
∠ BOD and ∠ DOA are linear pairs∠ COB = ∠ BOC and ∠ COA are linear pairsLearn more about linear pairs at:
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SOMEONE PLEASE HELP!!!!!!!!!
[tex]4.25[/tex]π cm is the width of an arcs with such a central [tex]45-[/tex]degree angle and a circle with a diameter of [tex]289 cm^{2}[/tex] .
What stands for the circle?It doesn't have any sides or corners either. A circle, then, is a full entity unto itself. Nothing else can be tacked on to complete the circle. Due of this, circles are used as symbols for wholeness, perfection, totality, and heavenly symmetry and equilibrium.
What is a circle? What is the formula for a circle?A circle is indeed a closed arc that extends outward from a set point known as the centre, with each point on the curve being equally spaced from the centre.
[tex]A =[/tex] π[tex]r^2[/tex]
Given that the circle's area is [tex]289 cm^{2}[/tex], we can use the following formula to find the radius:
289π = π
[tex]r^{2} = 289[/tex]
[tex]r = 17 cm[/tex]
With the radius now known, we can apply the following formula to determine the length of an arc with a central angle of [tex]45[/tex] degrees:
[tex]L = (45^{0} / 360^{0} ) * 2pi(17)[/tex]
[tex]L = (1/8) * 34[/tex]π
[tex]L = 4.25[/tex]π cm
A circle with an area of [tex]289 cm^{2}[/tex], [tex]4.25[/tex]π cm is the length of an arc with a central angle of [tex]45[/tex]degrees.
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Sebastian is supposed to walk his dog 25 minutes every day. He was running late for school, and was only able to walk his dog 20 minutes today. Choose the division expression that shows what fraction of time Sebastian walked the dog today.
Therefore , the solution of the given problem of expressions comes out to be Sebastian strolled his dog for 4/5 of the allotted time today.
What does a expression actually mean?Calculations like arbitrary division, joining, multiplication variable , and removal are required. If they were merged, they would produce the following: A mathematical formula, some data, and an equation. A declaration of veracity is made up of values, elements, formulae, and mathematical operations like additions, subtractions, errors, and segments. It is possible to assess and analyse words and sentences.
Here,
You can calculate how much of the allotted time Sebastian spent walking his dog today by dividing the time he spent walking him (20 minutes) by the time he was meant to walk him (25 minutes).
Therefore, the division formula that represents this portion is:
=> 20 ÷ 25
The short form of this phrase is:
=> 4/5
As a result, Sebastian strolled his dog for 4/5 of the allotted time today.
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Find the TOTAL surface area of each figure. Round answers to the nearest hundredth, if necessary
The total surface area of this figure is 94, rounded to the nearest hundredth.
The figure in question is a rectangular prism. To calculate the total surface area of a rectangular prism, we must use the following formula: Total Surface Area = 2(lw + wh + lh), where l is the length, w is the width, and h is the height.
For this figure, the length is 5, the width is 4, and the height is 3. Thus, we can calculate the total surface area of the figure as follows: 2(5*4 + 4*3 + 5*3) = 2(20 + 12 + 15) = 2(47) = 94. Therefore, the total surface area of this figure is 94, rounded to the nearest hundredth.
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Mrs. Morse suggested that the bookcase in the yard sale be sold for no more than $20 and not less than $12. Which number line shows this price range?
The inequality used for number line will be $12 < price < $20.
What is a number line?A horizontal line with evenly spaced numerical increments is referred to as a number line. How the number on the line can be answered depends on the numbers present. The use of the number is determined by the question that it corresponds to, such as when graphing a point.
Hence, on a number line, we can say that the value of numbers grows as we move to the right. This indicates that there are more numbers on the right than on the left. For instance, 3 comes after 1, hence 3 > 1.
The price will lie in the following inequality -
$12 < price < $20
Below is the number line for the same -
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Find the values of the variables and the measures of the indicated angles.
Answer:
x = 75°
Step-by-step explanation:
In a cyclic quadrilateral, opposite angles are supplementary.
x + 105 = 180
Subtract 105 from both sides,
x = 180 - 105
[tex]\boxed{\bf x = 75^\circ}[/tex]