The vertices of figure PQRS are translated to form figure P'Q'R'S'. Select all the statements that describe the two figures. Q S R P' S' Q' 'R
the anawer choices are : A. P Q R S is the preimage of PQRS, B. the two figures are congruent, C. the two figures are in different positions , but have the same orientation, D. the two figures are in different positions and have oppsoite orientation , E. corresponding angles and sides of the figures have the same measures.​

Answer:

We are given the function S = m^2 + 6m + 8 which models the growth of book sales in m months, where S is an amount in thousands of dollars. We want to find in how many months book sales reach $80,000.

We can set up an equation as follows:

S = m^2 + 6m + 8 = 80

Subtracting 80 from both sides, we get:

m^2 + 6m - 72 = 0

We can factor this quadratic equation as:

(m + 12)(m - 6) = 0

This gives us two possible solutions:

m + 12 = 0 or m - 6 = 0

Solving for m in each case, we get:

m = -12 or m = 6

Since we are looking for a number of months, we can discard the negative solution.

Therefore, book sales reach $80,000 in 6 months.

So, the answer is: 6 months.

The formula for the future value of an annuity is FV = Pmt * (((1 + r)n - 1) / r) to calculate the balance of the IRA at age 65. To compare this amount to the total deposits made over the time period, Total Deposits = Pmt * n = $45,600.

To calculate the balance of the IRA at age 65, we need to use the formula for the future value of an annuity:

FV = Pmt * (([tex](1 + r)^n[/tex] - 1) / r)

Where:

Pmt = $95 (the monthly deposit amount)

r = 4% / 12 = 0.003333 (the monthly interest rate)

n = (65 - 25) * 12 = 480 (the total number of months, assuming retirement at age 65)

Plugging in these values, we get:

FV = 95 * (([tex](1 + 0.003333)^480[/tex] - 1) / 0.003333)

FV = $98,052.52

Therefore, the IRA will contain $98,052.52 at age 65.

Part 2

To compare this amount to the total deposits made over the time period, we can calculate the total deposits as:

Total Deposits = Pmt * n

Plugging in the values, we get:

Total Deposits = 95 * 480

Total Deposits = $45,600

Therefore, the IRA will contain significantly more than the total deposits made over the time period, due to the power of compounding interest.

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Answer:

4/9

Step-by-step explanation:

4 sandwiches in between 9 friends

4 sandwiches must be divided in between 9 people

- > [tex]\frac{4 sandwiches}{9 people}[/tex] = [tex]\frac{4}{9}[/tex]

Answer:

Step-by-step explanation:

2/3

Answer:

a) We can use similar triangles to find PB in terms of a and b. Let x be the length of AD. Then, using the fact that AP = 4PC, we have:

PC = CP = x - b

AP = 4(x - b)

Also, using the fact that DC = (1/4)AB, we have:

AD = x

AB = 4DC = x/4

BC = AB - AD = x/4 - x = -3x/4

Now, consider the similar triangles PBC and ABD:

PB/AB = BC/AD

PB/(x/4) = (-3x/4)/x

PB = -3/4(x/4) = -3x/16

Finally, substituting x = a + b, we have:

PB = -3(a + b)/16

b) Using the same similar triangles as in part (a), we have:

DP/DC = PB/BC

DP/(1/4)AB = PB/(-3x/4)

DP = -3/4(PB)(DC/BC)AB

DP = -3/4(PB)(1/4)/(AB - AD)AB

Substituting the expressions for PB, AB, and AD from part (a), we get:

DP = -3(a + b)/16 * 1/4 / (-3(a + b)/4) * (a + b)/4

DP = -3/16 * 1/4 * 4/(3(a + b)) * (a + b)

DP = -3/16

So, DP = -3/16(a + b)

c) To check if DPB forms a straight line, we need to verify if the slopes of DP and PB are equal. Using the expressions we found in parts (a) and (b), we have:

Slope of PB = Δy/Δx = (-3/16(a+b) - 0)/(0 - (-3(a+b)/16)) = 3/16

Slope of DP = Δy/Δx = (-3(a+b)/16 - (-3/16(a+b)))/(1/4 - 0) = -3(a+b)/4

Since the slopes are not equal, DPB does not form a straight line.

Answer:

we will do TanA = perpendicular / Base

A = 35°

Tan 35° = 217 / W

value of Tan 35° is approx = 0.7

0.7 = 217/ W

W = 217 / 0.7

W = 310

no 1) what is the square root of 2? it's about 1.5

no 2) pi is 3.14 blah blahblah so just put somewhere around 3

no 3) do square root of 11, it's about 3.3 so put it a tiny bit after no 2.

all of these will be after the 0, not before because theyre positive

hope this helps x

Answer:

3/10 = 0.3

19/50 = 0.38

5/10 = 0.5

1/5 = 0.2

14/25 = 0.56

3/25 = 0.12

the correct option for this question is  (a) e < 53.

Why it is?

The inequality that represents Natasha's earnings, e, from any of the companies she interviewed with is:

e < 53.5

This is because her projected earnings per hour range from $25.13 to $53.5, and the maximum value is $53.5. So, her earnings from any of the companies cannot be greater than $53.5 per hour. Therefore, the correct answer is option (a) e < 53.

Earnings are the amount of money that a person earns from their work, business, investments, or other sources of income. This can include salaries, wages, commissions, bonuses, and profits, among others.

Earnings are typically reported as gross income, which is the total amount earned before taxes and other deductions are taken out. It is an important measure of a person's financial well-being and is often used to determine eligibility for credit or loans. Earnings can vary widely depending on a person's job, level of experience, education, and industry, among other factors.

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The answers f(g(x)) = x and g(f(x)) = x tell us that the two functions f(x) and g(x) are inverses of each other.

The inverse of a function is a second function that "undoes" the effect of the first function. More specifically, if f is a function that maps elements from a set A to a set B, then its inverse function, denoted as f^(-1), maps elements from B back to A.

(a) To find f(g(x)), we need to substitute the expression for g(x) into f(x):

f(g(x)) = g(x) / (6 + g(x))

Substituting the expression for g(x) yields:

f(g(x)) = (6x / (1 - x)) / (6 + (6x / (1 - x)))

This equation can be made simpler by first locating a common denominator:

f(g(x)) = (6x / (1 - x)) / ((6(1 - x) / (1 - x)) + (6x / (1 - x)))

f(g(x)) = (6x / (1 - x)) / ((6 - 6x + 6x) / (1 - x))

f(g(x)) = (6x / (1 - x)) / (6 / (1 - x))

f(g(x)) = 6x / 6

f(g(x)) = x

To find g(f(x)), we need to substitute the expression for f(x) into g(x):

g(f(x)) = 6f(x) / (1 - f(x))

Substituting the expression for f(x) yields:

g(f(x)) = 6(x / (6 + x)) / (1 - (x / (6 + x)))

To simplify this expression, we can first find a common denominator:

g(f(x)) = 6(x / (6 + x)) / (((6 + x) / (6 + x)) - (x / (6 + x)))

g(f(x)) = 6(x / (6 + x)) / ((6 + x - x) / (6 + x))

g(f(x)) = 6(x / (6 + x)) / (6 / (6 + x))

g(f(x)) = x

(b) The answers f(g(x)) = x and g(f(x)) = x tell us that the two functions f(x) and g(x) are inverses of each other. This means that when we apply one function and then the other, we get back to the original input value. Specifically, if we apply f(x) to x and then apply g(x) to the result, we get x back, and if we apply g(x) to x and then apply f(x) to the result, we also get x back. This is a useful property when analyzing functions and their relationships.

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Answer:

I got 28

Step-by-step explanation:

use the formula k=y/x. 6/8=0.75

21/0.75=

The simplification of the polynomial using factor by substitution is: ((3y - 2)⁴ - 1)/(3y - 2)²

Factoring polynomials simply means separating a polynomial into its component polynomials.

Sometimes, in the event that polynomials are particularly complicated, it is usually easiest to substitute a simple term and factor down.

We have the equation:

(3y - 2)² - (3y - 2)⁻²

Let 3y - 2 be denoted by S and as such we have:

S² - S⁻²

= S² - 1/S²

Using the denominator as factor, we have:

= (S⁴ - 1)/S²

Plugging 3y - 2 for S gives us:

((3y - 2)⁴ - 1)/(3y - 2)²

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Answer:

44.064x

Step-by-step explanation:

Answer: when you time 88.128 by 0.5, it gives you an answer of 44.064

Hope this helps :)

Answer: 1050$

Step-by-step explanation:

im a math teacher

Answer:

Temporary Differences Reported First on:     The Income Statement                       The Tax Return   Revenue      Expense                       Revenue              Expense1)       $272)                          $273)                                                                $274)                                                                                            $275)     $22             $276)                         $27                               $227)     $22             $27                                                             $178)     $22             $27                               $12                        $17Taxable Income assuming pretax accounting income is $100 million1)  Pretax Income - Revenue = $100m - $27m = $73m2) Pretax Income + Expense = $100m + $27m = $127m3) Pretax Income + Revenue Return = $100m + $27m = $127m4) Pretax Income - Expense Return = $100m - $27m = $73m5) Pretax Income - Revenue + Expense = $100m - $22m + $27m = $105m6) Pretax Income + Expense + Revenue Return = $100m + $27m + $22m = $149m7) Pretax Income - Revenue + Expense - Expense Return = $100m - $22m + $27m - $17m = $88m8) Pretax Income - Revenue + Expense + Revenue Return - Expense Return = $100m - $22m + $27m + $12m- $17m = $100m

Step-by-step explanation:

First, return is added to differentiate revenue and expense from the tax return from that of the income statement.Temporary difference is defined as the difference between the tax and financial reporting bases of assets and liabilities. These differences can result in taxable or deductible amounts in future years (deferred tax assets or liabilities).For each scenario, temporal difference of revenue reported first in the income statement is deducted from the pretax accounting income while expenses are added back to the pretax accounting income.For temporal differences from the tax return, the revenue is added to the pretax accounting income while expenses are deducted.

Answer:

$6235 1

' 1 . ' 8

Answer:

Step-by-step explanation:

Peter is 1.68 meters tall.

What is height?

Height is a measure of the distance between the base and the top of an object, or the distance between the bottom and the top of a vertical structure. It is often used to describe the vertical dimension of an object or structure, such as the height of a building, the height of a person, or the height of a mountain. In mathematics, height can also refer to the vertical distance between two points on a coordinate plane or the vertical dimension of a three-dimensional shape. The height of a triangle, for example, is the perpendicular distance from the base to the highest point of the triangle.

Peter's height is Thandi's height plus the additional 0.45 m. Therefore:

Peter's height = Thandi's height + 0.45 m

Peter's height = 1.23 m + 0.45 m

Peter's height = 1.68 m

Therefore, Peter is 1.68 meters tall.

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The supplementary angle will be 60°.

What are supplementary angles?

Supplementary angles are angles (only two) whose sum is equal to 180 degrees. In other words, if we add two angles together and the result is 180 degrees, those angles are considered supplementary.

For example, if we have angle A that measures 60 degrees, its supplement angle B will measure 120 degrees (180 - 60 = 120). Angles A and B are supplementary angles.

Supplementary angles can be adjacent, meaning they share a common vertex and side, or they can be non-adjacent. In either case, their sum will always be 180 degrees.

Supplementary angles are commonly used in geometry and trigonometry to solve problems related to angles and triangles.

Now,

Let x = measure of the angle.

Then, the supplement angle is 180 - x.

According to the problem, x is twice less than the supplement angle. In other words, the supplement angle is twice greater than x. We can write this as:

180 - x = 2x

Solving for x, we get:

180 = 3x

x = 60

Therefore, the angle measures 60 degrees.

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Right Question:- The measure of an angle is twice less than that of its supplement angle. find that angle?

The solutions to the quadratic equations are as follows

4a. The rocket was launched from an initial height of 10 meters.

b. The maximum height of the rocket was 55 meters.

c. The rocket reaches its maximum height at 3 seconds

d. the rocket is in the air for t = 6.316 seconds

5. when the horizontal distance is 1 foot, the height of the balloon is 8.875 feet

b. when the horizontal distance is 33 feet, the height of the balloon is 0.875 feet.

The function is a quadratic equation, and here is how we solve each problem;

a. The initial height of the rocket is the value of h when t=0. So we substitute t=0 into the equation to find:

h = -5(0)² + 30(0) + 10 = 10 meters

b. & c. The maximum height of a projectile launched upward occurs at the vertex of the parabola represented by the quadratic function. For a quadratic function in the form y = ax² + bx + c, the time at which the maximum (or minimum) occurs is -b/2a. In this case, a = -5 and b = 30. So:

t = -b/2a = -30 / (2×-5) = 3 seconds

So, the rocket reaches its maximum height at t=3 seconds. We can find this maximum height by substituting t=3 into the equation:

h = -5(3)² + 30(3) + 10 = -5×9 + 90 + 10 = 45 meters

The rocket is in the air from the time it was launched until it hits the ground. The time when it hits the ground is when h = 0. So we can set the equation to 0 and solve for t:

0 = -5t² + 30t + 10

This is a quadratic equation and can be solved using the quadratic formula: t = [-b ± √(b² - 4ac)] / (2a)

Let's calculate the roots:

t = [-30 ± √((30)² - 4×-5×10)] / (2×-5)

= [-30 ± √(900 + 200)] / -10

= [-30 ± √(1100)] / -10

= 6.316 or -0.32

5. a. To find the height of the balloon when d=1, we substitute d=1 into the equation:

h = -1/8(1)²+ 4(1) + 5 = -1/8 + 4 + 5 = 8.875 feet

b. To determine whether the balloon hits your enemy, we need to see if the balloon's height (h) is above ground level (h > 0) when d=33. So, we substitute d=33 into the equation:

h = -1/8(33)² + 4(33) + 5

h = -1/8×1089 + 132 + 5

h = -136.125 + 132 + 5

h = 0.875 feet

when the horizontal distance is 33 feet, the height of the balloon is 0.875 feet. This means the balloon is above ground level and therefore would indeed hit your nemesis standing 33 feet away.

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Answer:

     6.75 inches.

Step-by-step explanation:

[tex]183.69 = 2*3.14*3^2 + 2*3.14*3*h[/tex]

[tex]= 56.52 + 18.84h[/tex]

[tex]183.69 - 56.52 = 18.84h[/tex]

[tex]127.17 = 18.84h[/tex]

[tex]=\frac{127.17}{18.84}[/tex]

[tex]=6.75[/tex]

Answer:

For the first 40 hours that Mr. Ed works, he earns his regular rate of pay, which is $15.50 per hour. So, his regular pay for the week is:

40 hours x $15.50 per hour = $620

For the additional 5 hours he works, he earns overtime pay at a rate of time-and-a-half, which is 1.5 times his regular pay rate. So, his overtime pay for the week is:

5 hours x $15.50 per hour x 1.5 = $116.25

Therefore, Mr. Ed's total pay for the week in which he works 45 hours is:

$620 (regular pay) + $116.25 (overtime pay) = $736.25.

The distance that the person will be able to cover in an hour would be = 45 miles

The distance that the individual covers in in 40 mins = 30 miles.

Therefore in an hour(60 mins) the distance would be = X mile

That is ;

40 mins = 30 miles

60 mins = X

make X the subject of formula;

X = 60×30/40

X = 1800/40

x = 45 miles.

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(a) The 95% confidence interval for the difference in proportions of people who may find these medications effective is 0.029 to 0.231, which suggests that medication A is more effective than medication B in relieving joint pain.

(b) No, the interval does not contain zero, which means that the difference in proportions is statistically significant and supports the hypothesis that medication A is more effective than medication B.

Answer: I think its C

Answer:

Step-by-step explanation:

C is false. [tex]\angle BEC = \angle AED=126[/tex]   (vertically opposite).

The rest are correct.

Answer:

Is D

Step-by-step explanation:

Answer:

Since only 66 states approve the amendment, it falls short of the required 7/9 majority. Therefore, the constitution will not be amended.

Step-by-step explanation:

To determine whether the constitution will be amended, we need to compare the number of states that have approved the amendment to the required number of states needed for approval.

The requirement is that 7/9 of the 84 states must approve the amendment. So, we need to calculate 7/9 of 84 to find out how many states need to approve the amendment:

(7/9) x 84 = 66.67

Rounding up, we see that 66.67 is equivalent to 67 states. This means that in order for the amendment to be approved, at least 67 states must approve it.

Since only 66 states approve the amendment, it falls short of the required 7/9 majority. Therefore, the constitution will not be amended.

AB/BC = DE/EF

35/15 = DE/60

DE = 35*60 / 15

DE = 140

answer

A 140

Therefore, the probability that at least one of the next six births is a girl is 1 - 0.033 = 0.967 (rounded to three decimal places).

Probability is a measure of the likelihood that an event will occur. It is a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain.

To calculate the probability of an event, you divide the number of ways that event can occur by the total number of possible outcomes. For example, if you flip a fair coin, there are two possible outcomes - heads or tails - and each has an equal probability of 0.5 (or 50%) of occurring.

Given by the question.

To find the probability that at least one of the next six births is a girl, we can find the probability that all six of them are boys and subtract it from 1.

The probability that one birth is a girl is 1 - 0.513 = 0.487.

The probability that all six births are boys is. [tex]0.513^{6}[/tex] = 0.033.

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Answer:

To find the volume of Leah's new planter, we need to multiply the length, width, and height of the container:

V = 15 m x 4 m x 8 m x 11 m x 3 m

V = 11,880 cubic meters

Therefore, the total volume of Leah's new planter is 11,880 cubic meters.

Let's represent the volume of the large box as x cubic inches. Since the total volume of both boxes is 212 cubic inches, we can set up the following equation:

8 x 4 x 2 + x = 212

Simplifying the left side, we get:

64 + x = 212

Subtracting 64 from both sides, we get:

x = 148

Therefore, the volume of the large box is 148 cubic inches.

Thus, we should order two large pizzas, that will cost $22, to serve a group of 12.

Costs in accounting are the dollar amounts paid for materials, labor, services, goods, equipment, and other purchases made for use by a company or even other accounting entity. This sum is listed as the price on invoices and is recorded as an expense of asset cost basis in bookkeeping records.

Solution:

Let x be the quantity of pizzas ordered.

12 x 2 = 24 slices are required because a large pizza contains 8 slices per slice.

As a result, the necessary quantity of pizzas is:

[tex]x\geq 3(x-1) \leq x[/tex]

In order to find the best price, we must reduce the total cost, that is determined by:

C(x) = 15x plus 5(x - 1) (x - 1) - 15

Using the cost function's derivative in relation to x, we may calculate:

C'(x) = 20 - 10[tex]/(x-1)^2[/tex]

Finding the critical points by setting the derivative to zero yields the following results:

20 - 10[tex]/(x-1)^2[/tex] = 0

Simplishing, we obtain:

[tex](x-1)^2[/tex]= 2

By solving for x using square root of the both sides, we arrive at:

x = 1 ± √2

The ideal quantity to order is two pizzas because x has to be an integer.

By adding x = 2 to the cost function, we can determine the total cost:

C(2) = 15(2) + 5(2 - 1) - 15 = 22

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Answer: Option A

Step-by-step explanation:

The t-statistic and P-value can be calculated using statistical software or a t-test calculator. Using a two-tailed t-test with a significance level of 0.05 and 8 degrees of freedom (n1 + n2 - 2), we obtain:

t = -1.4789

P-value = 0.173292

Therefore, the correct answer is A. With a t statistic of -1.4789 and a P-value of 0.173292, we fail to reject the null hypothesis that the prices have not changed significantly since the new owner took over. We cannot conclude that the prices have changed significantly.

With a T statistic of 0.7394 and a P value of 0.478505, fail to reject the no hypothesis that prices have not changed. The correct option is D.

A null hypothesis is a type of statistical hypothesis that asserts that there is no statistical significance in a given set of observations.

Using sample data, hypothesis testing is used to assess the credibility of a hypothesis.

To determine if the prices of goods at a supermarket have significantly changed since the new owner took over, we can perform a two-sample t-test with the null hypothesis being that the mean difference in prices before and after the new owner took over is zero.

Using a significance level of 0.05, the critical t-value for a two-tailed test with 9 degrees of freedom is approximately 2.306.

To calculate the t-statistic, we first need to calculate the mean and standard deviation of the differences in prices:

Mean difference = (0.30 - 0.07) / 10 = 0.023

Standard deviation = 2.967

t-statistic = (0.023 - 0) / (2.967 / sqrt(10)) = 0.7394

The calculated t-value of 0.7394 is less than the critical t-value of 2.306, and the corresponding p-value is 0.4785. This means we fail to reject the null hypothesis that the mean difference in prices is zero.

Therefore, based on the given data and using a significance level of 0.05, the correct P-value and conclusion are:

Thus, the correct option is D.

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