AABC is rotated 180° clockwise about the origin to produce AA'B'C'. Which
rule best describes this rotation?
O A. (x, y) → (−x, −y)
B. (x, y) →
(-y, —x)
C. (x, y) →
(x, y)
OD. (x, y) → (y, −x)
SUBMIT

Answer:

1/35

Step-by-step explanation:

We can use proportion.

5 dresses --- 1/7

1 dress ----      x

x = 1*1/7: 5= 1/7 *1/5 = 1/35

Answer:

The answer is B

Step-by-step explanation:

Using proportions, it is found that:

a) You need 15 tablespoons of brown sugar.

b) You need 8 tablespoons of baking soda.

c) You need 10 cups of brown sugar.

d) You need 24 cups of baking soda.

A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using a rule of three, that can be either direct(cross multiplication) or inverse(line multiplication), deriving from proportional relationships. One example of application of proportions is for ratio problems.

For this problem, the recipe uses a 2:5 ratio of baking soda to brown sugar, hence:

Hence, for item a, the amount is:

5/2 x 6 = 30/2 = 15.

You need 15 tablespoons of brown sugar.

For item b, the amount is:

2/5 x 20 = 40/5 = 8.

You need 8 tablespoons of baking soda.

For item c, the amount is:

5/2 x 4 = 20/2 = 10.

You need 10 cups of brown sugar.

For item d, the amount is:

2/5 x 60 = 120/5 = 24.

You need 24 cups of baking soda.

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Answer:

x - y = 4

Step-by-step explanation:

Hope this helped! :)

Answer:

C) A geometric cumulative distribution function should be used because the question states that the probability for having a hand with three of a kind is about 6%.

Step-by-step explanation:

A geometric cumulative distribution function should be used because the question states that the probability for having a hand with three of a kind is about 6%.

A geometric cumulative distribution function should be used because the question asks for the probability of having a hand with five cards in the same suit in one of the first three hands

Option C is the correct answer.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

The geometric cumulative distribution is a discrete likelihood conveyance where the random variable describes the quantity of the expected Bernoulli trial.

A Bernoulli trial is an experiment that can have just two results.

Success and failure.

Now,

We are interested in the first success in the three chances, which is a distribution function of a geometric distribution.

Now,

The probability of having a hand with five cards in the same suit in one of the first three hands.

This is a geometric distribution.

Thus,

A geometric cumulative distribution function should be used.

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By pythagorean theorem,

\(h^2=(2x^2-y^2)^2+(2xy)^2\)

First simplify RHS,

\(h^2=4x^4-4x^2y^2+y^4+4x^2y^2\)

\(h^2=4x^4+y^4\)

Take square root of both sides,

\(h=\sqrt{4x^4+y^4}\)

So the answer is A.

Hope this helps :)

Answer:

A.

Step-by-step explanation:

correct on EDGE2021

Answer:

1) = 32.02

2) = 18

Step-by-step explanation:

1) 20^2 + 25^2 = 1025

sq rt 1025 = 32.02

2) 30^2 - 24^2 = 324

sq rt 324 = 18

Answer:

S = 2π(3^2) + 2π(3)(8.2) = 67.2π = 211 cm^3

Answer: square y cubed

Step-by-step explanation:

The number of houses not having swing sets is 450.

Given that there are 270 homes with swing sets in a community, the ratio of homes with swing sets to homes without swing sets is 3 to 5.

We must ascertain the number of homes without swing sets.

Mathematicians use the term "ratio" to compare two or more numbers. It serves as a comparison tool to show how big or tiny an amount is in relation to another.

Let y represent the proportion of homes without swing sets.

Therefore,

The proportion will be given as:

3 / 5 = 270 / y

By cross multiplying,

3 × y = 270 × 5

3y = 1350

Dividing each side of the equation by 3.

3y / 3 = 1350 / 3

y = 450

Therefore, there are 450 homes without swing sets.

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Cliff pays a total interest of approximately $679.90 on his $5,000 loan.

To calculate the total interest paid on the loan, we need to use the formula for compound interest:

\(A = P(1 + r/n)^{(nt)}\)

Where:

A is the final amount (loan amount + interest)

P is the principal (loan amount)

r is the annual interest rate (in decimal form)

n is the number of times interest is compounded per year

t is the number of years

Given that Cliff takes out a $5,000 loan with a fixed annual interest rate of 7% compounded monthly, we can substitute the values into the formula:

P = $5,000

r = 7% = 0.07

n = 12 (monthly compounding)

t = 2 years

\(A = 5000(1 + 0.07/12)^{(12 \times 2)\)

Calculating this expression:

A ≈ 5000\((1.00583)^{(24)\)

A ≈ 5000(1.13598)

A ≈ 5679.90

The final amount (A) is the loan amount plus the total interest paid. Therefore, to find the total interest paid, we subtract the principal (P) from the final amount (A):

Total Interest = A - P

Total Interest = 5679.90 - 5000

Total Interest ≈ $679.90

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The equation for the graph above is y = 5sin(2x/3).

In Mathematics and Geometry, a sine wave is sometimes referred to as a sinusoidal wave, or sinusoid and it can be defined as a fundamental waveform that is typically used for the representation of periodic oscillations, in which the amplitude of displacement at each interval is directly proportional to the sine of the displacement's phase angle.

Mathematically, a sine wave can be represented or modelled by this mathematical equation:

y = asin(bx)

Where:

Based on the graph of this sine wave, we have:

Amplitude, a = 5.

Periodicity, b = 2π/period = 2π/(3π) = 2/3

Therefore, the required sine wave function is given by;

y = asin(bx)

y = 5sin(2x/3)

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The percentage of the sample selected at random that would be expected to be afflicted by stress would also be = 80%

The percentage of a data set is when part of the data is represented per 100 with a symbol of %.

It was stated in the question that 80% of Americans report being afflicted by stress.

Therefore when a sample is randomly selected from an American population, the percentage that is expected to be afflicted by stress should also be 80%.

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The value of the underlined digit in the number 27,416,385.( 4 is the underlined number.) is the hundred thousandths place.

The symbols, from 0 to 9 can be described as a digit. For instance, the numbers 2 and 3 are used to represent the number 23.  however amount is represented by a number.

It should be noted that It may be expressed using one, two, three, or even more digits however only single symbol used to represent a number is a digit in the case above we can see that 4 is the hundred thousandths place.

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Answer:

Step-by-step explanation:

2x³+54=2(x³+27)=2(x³+3³)

a³+b³=(a+b)(a²-ab+b²)

complete it

After 18 years, the investment compounded periodically (quarterly) will be worth $1,230.23 more than the investment compounded annually.

Compounded interest refers to the interest system that charges interest on both principal and accumulated interest.

The period of compounding in a year determines the worth of the future value.

The future value can be ascertained using an online finance calculator as follows:

Interest periods: = 4 times yearly (Quarterly)

Principal = $5,000

Annual interest rate = 9%

Number of years: 18

N (# of periods) = 72 quarters (18 years x 4)

I/Y (Interest per year) = 9%

PV (Present Value) = $5,000

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $24,815.83

Total Interest = $19,815.83

Interest periods: = Annually

N (# of periods) = 18 years

I/Y (Interest per year) = 9%

PV (Present Value) = $5,000

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $23,585.60

Total Interest = $18,585.60

Difference in Future Values $1,230.23 ($24,815.83 - $23,585.60)

Thus, an investment compounded periodically earns more than an investment compounded annually.

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The triangles are not similar

Given data ,

Let the first triangle be ΔJKL

Let the second triangle be ΔMNP

Now , the corresponding sides are

JK / JL ≠ NM / MP

where the corresponding sides of similar triangles are not in the same ratio

And , the common angle to both the triangles is ∠J = ∠M

So , ∠J = ∠M and JK / JL ≠ NM / MP

Hence , the triangles are not similar

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Answer:

x- intercept = - 8 , y- intercept = 4

Step-by-step explanation:

to find the x- intercept let y = 0 in the equation and solve for x

x - 2(0) = - 8

x - 0 = - 8

x = - 8 ← y- intercept

to find the y- intercept let x = 0 in the equation and solve for y

0 - 2y = - 8

- 2y = - 8 ( divide both sides by - 2 )

y = 4 ← y- intercept

Answer:

\( \frac{(3x(x - 3))}{(x - 3)(x + 1)} = \frac{3x}{x + 1} \)

Answer:

15 °C

Step-by-step explanation:

°C = (°F - 32) * (5/9)

Given that the initial temperature was 77 °F and it dropped by 10 °C, we can calculate the final temperature.

Initial temperature: 77 °F

Converting to Celsius:

°C = (77 - 32) * (5/9)

°C ≈ 25

The temperature dropped by 10 °C, so the final temperature is:

Final temperature = Initial temperature - Temperature drop

Final temperature ≈ 25 - 10 = 15 °C

Therefore, the temperature after the storm was approximately 15 °C.

A) horizontal asymptote: y = 7 B) vertical asymptote: x = -4, 5 is the required answers for horizontal and vertical asymptotes of the curve.

The horizontal asymptote of a curve is a horizontal line that the curve approaches as x approaches infinity or negative infinity. The vertical asymptote of a curve is a vertical line that the curve approaches but never crosses as x approaches a certain value. In this case, the horizontal asymptote is found by letting x approach infinity in the fraction and observing what the value of y approaches. In the limit as x approaches infinity, the x^2 term dominates and thus y approaches 7, which is the horizontal asymptote. To find the vertical asymptote, we find the values of x where the denominator equals 0 and the numerator is not equal to 0. In this case, the denominator x^2 + x - 20 = 0 has roots of -4 and 5. Thus, the vertical asymptotes are x = -4 and x = 5. To find the vertical asymptotes, we look for the values of x where the denominator of the function equals 0 and the numerator does not equal 0. In this case, the denominator x^2 + x - 20 = 0 has roots of -4 and 5, which means that x = -4 and x = 5 are the vertical asymptotes of the function. These values of x represent the values at which the function is undefined, and as x approaches these values from either side, the value of the function approaches positive or negative infinity.

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Answer:

11

Step-by-step explanation:

i don't know

Total number of slices = 12

No. of slices eaten by Kesh = 2

No. of slices eaten by Jorge = 3

No. of slices left

= Total number of slices - (No. of slices eaten by Kesh + No. of slices eaten by Jorge)

= 12 - (2 + 3)

= 12 - 5

= 7

Fraction of the pizza left

= No. of slices left/Total number of slices

= 7/12

Answer: 7/12

Find the total amount of pizza eaten.

Kesh = 2 slices

Jorge = 3 slices

Total eaten: 5/12

Subtract 5/12 from 12/12.

12/12 - 5/12 = 7/12

Answer = 7/12

Hope this answer helped!

A boutique owner needs to sell $1,200 in clothing each week. This week, she is within $125 of her goal. The variable in the equation is

A variable is a quantity that could change depending on the circumstances of an experiment or mathematical problem.

Typically, a variable is denoted by a single letter. The general symbols for variables most frequently used are the letters x, y, and z.

In the context of the problem, the boutique owner wants to make $1,200 in clothing each week. This amount in made by the number of items sold as this is added to get to the amount the boutique owner is targeting

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Given -

A parallelogram with sides G, H, I and J in which GH = IJ and GJ = HI.

To prove -

J, H, G ≅ H, J, I

Proof -

In ∆ JHG and ∆ HJI,

GH = IJ (S)

GJ = HI (S)

JH = JH (common) (S)

J, H, G ≅ H, J, I (SSS congruency rule)

C. SSS

Step-by-step explanation:

yes, the step is correct.

a² = cx | multiply by c

ca² = c²x

I am just not sure how that simplified the equation.

what do you want to achieve ? what's the goal here ?

to solve the equation for x it would be to divide both sides by c, which gives

a²/c = x

Answer:

∠ GJK = 102°

Step-by-step explanation:

(2x + 92) and (3x + 63) are same- side interior angles and sum to 180° , so

2x + 92 + 3x + 63 = 180

5x + 155 = 180 ( subtract 155 from both sides )

5x = 25 ( divide both sides by 5 )

x = 5

Then

∠ GJK = 2x + 92 = 2(5) + 92 = 10 + 92 = 102°

The statement that correctly describes whether this is a theory or a law is C. It is a theory, because it explains the cause of the dinosaur extinction.

A law is a statement that describes a general observation or a relationship that has been consistently proven through experimentation and evidence.  A theory, on the other hand, is a more comprehensive explanation that helps to understand a wide range of observations and experimental results.

The excerpt spoke on how a meteorite hitting Earth led to the extinction of the dinosaurs. However, this is not a law as it aims to explain why dinosaurs died out.

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The full question is:

A meteorite hit Earth sixty five million years ago​. Scientists have found a high concentration of iridium in the sedimentary clay layer from this time period. Iridium is very rare in Earth’s crust, but it is abundant in meteorites. Scientists believe this impact caused the extinction of the dinosaurs. Which of these statements correctly describes whether this is a theory or a law and why?

A. It is a law, because it includes a numerical analysis.

B. It is a law, because it explains all causes of animal extinction.

C. It is a theory, because it explains the cause of the dinosaur extinction.

D. It is a theory, because it shows regular patterns from a generalization of the data.