Pentagon ABCDE is shown.

If Pentagon ABCDE is dilated about the origin with a scale factor of 3 into Pentagon A′B′C′D′E′

What coordinate pair describes the location of Point A'?


answer choices
A
( − 18 , − 9 )
B
(-9,18)

C
( − 1 , 2 )

D
( 1,3 )

The equation represents this situation will be dp = k. Thus, option B is correct.

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

p = kq

where k is some constant number called constant of proportionality.

The inversely proportional relationship is denoted by

[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]

As visible, increasing one variable will decrease the other variable if both are inversely proportional.

The number of days, d, it will take Manny to read a book varies inversely as the number of pages, p, he reads per day.

If k is the constant of variation.

The equation represents this situation will be

dp = k

Thus, option B is correct.

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Answer:

false

Step-by-step explanation:

Answer: -11/2, -5/7, 0.1, 4/5, 1.3

Step-by-step explanation:

It might be easier to convert these fractions into decimals so let’s do that. -5/7 becomes about -0.7, 4/5 becomes 0.8, 1.3 is already a decimal, -11/2 becomes -5.5, and 0.1 is already a decimal. Negative numbers are less than positive numbers and -5.5 is a bigger negative number than -0.7, so -5.5 (-11/2) comes first and -0.7 (-5/7) comes second. 0.1 is less than 0.8 so 0.1 is third and 0.8 (4/5) is fourth. That leaves 1.3 as the greatest number. This gives us the list -11/2, -5/7, 0.1, 4/5, 1.3. Hope this helps!

Given:

Mrs. Applegate owns  [tex]\dfrac{3}{19}[/tex] of the business.

Mrs. Brown owns 3 times as much as  Mrs. Charles.

To find:

The  fractional part of the business that Mrs. Brown owns.

Solution:

Let Mrs. Charles owns x part of business.

Mrs. Brown owns 3 times as much as  Mrs. Charles.

Mrs. Brown owns = 3x part of business.

Mrs. Applegate owns  [tex]=\dfrac{3}{19}[/tex] of the business.

[tex]x+3x+\dfrac{3}{19}=1[/tex]

[tex]4x=1-\dfrac{3}{19}[/tex]

[tex]4x=\dfrac{19-3}{19}[/tex]

[tex]4x=\dfrac{16}{19}[/tex]

Divide both sides by 4.

[tex]x=\dfrac{16}{4\times 19}[/tex]

[tex]x=\dfrac{4}{19}[/tex]

Now,

Mrs. Brown owns  [tex]=3\times x[/tex]

[tex]=3\times \dfrac{4}{19}[/tex]

[tex]=\dfrac{12}{19}[/tex]

Therefore, Mrs. Brown owns  [tex]\dfrac{12}{19}[/tex] of the business.

Answer:

22≥4m-2=6

5-3m<-13=6

Step-by-step explanation:

The inequalities  22 ≥ 4m - 2 or 5 - 3m ≤ - 13 is m ≤ 6 or m ≥ 6.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

22 ≥ 4m - 2.

4m ≤ 22 + 2.

4m ≤ 24.

m ≤ 24/4.

m ≤ 6.

5 - 3m ≤ - 13.

- 3m ≤ - 13 - 5.

- 3m ≤ - 18.

3m ≥ 18.

m ≥ 18/3.

m ≥ 6.

So, m ≤ 6 or m ≥ 6.

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The correct future values could she have been calculating is,

⇒ The future value of $14,800 invested at 4% interest compounded

semiannually for 12 years.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Erin entered the following expression into her graphing calculator,

⇒ 14800 (1 + 0.4/12)¹²°²

Thus, We get;

The correct future values could she have been calculating is,

⇒ The future value of $14,800 invested at 4% interest compounded

semiannually for 12 years.

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Answer:

that's 53 °not 90 i thought

Answer:

0

Step-by-step explanation:

3 = 2x + 3

0 = 2x

x = 0

Answer:

approximately 0.34%

The answer is the A because they are similar and congruent

Answer:

A

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

11356.2

Step-by-step explanation:

Answer: Hmm, I want to say it will be about 40 weeks before she can get the bike, hope this helps!

Step-by-step explanation:

Answer:

40 weeks

Step-by-step explanation:

Answer:

He added 14 blue marbles to the box today

Answer:10 - 19 =9 answer 9 blue marbles

Step-by-step explanation:

Correct is;

A manufacturer produces bolts of a fabric with a fixed width. The cost of producing x yards of this fabric is C = f(x) dollars.

(a) What is the meaning of the derivative f '(x)?

What are its units?

(b) In practical terms, what does it mean to say that f '(2000) = 10?

(c) Which do you think is greater,

f '(200) or f '(600)? What about f '(4000)?

Answer:

A) f'(x) means the rate of change of the cost of production with respect to the number of yards that were produced.

It's unit is $/yard

B) f '(2000) = 10 means that after production of 2000 yards of fabrics, the cost of production will be increasing at a rate of $10 per yard.

C) f' (200) > f'(600)

f'(4000) > f'(600)

Step-by-step explanation:

A) Since the cost of producing x yards of this fabric is C = f(x) dollars. f'(x) simply means the rate of change of C with respect to x.

In clearer terms, the derivative f'(x) means the rate of change of the cost of production with respect to the number of yards that were produced.

It's unit is $/yard

B) To say f '(2000) = 10 means that after production of 2000 yards of fabrics, the cost of production will be increasing at a rate of $10 per yard.

C) f '(200) is greater than f'(600) because the cost of making the 600th yard will be less than the cost of the 200th yard. Reason for this is due to economics of scale as the manufacturer will certainly make more efficient use of fixed costs of production.

As more units are produced, there may likely be more overtime costs and thus the rate of increase cost of production will likely increase faster.

Thus;

f'(4000) > f'(600)

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

2/1 * 2/1 = 4

Answer:

Answer is C, u can find this just by looking at domain

Answer:

1.6, but can be rounded to 2

Step-by-step explanation:

Answer:

1.66

Cannot be a whole number because 3 times a whole number cannot equal 5

Answer:

1

Step-by-step explanation:

A segment has only one midpoint because there is only one point in the exact middle of a segment.

Answer:

A line segmhas only one midpoint

Answer:

option 2

Step-by-step explanation:

Answer:

B) 13

Step-by-step explanation:

The given angles are vertical angles and has same measurement

4x = 52° divide both sides by 4

x = 13

This question is incomplete, the complete question is;

In a country, 31 % of the people that voted for candidate AA are women. Moreover, 10% of the population are women and voted for AA. What is the percentage of people that voted for candidate AA?

Answer:

the percentage of people that voted for candidate AA is 32.3%

Step-by-step explanation:

Given that;

31 % of the people that voted for candidate A are women

P( women/Candidate AA) = 0.31

Moreover, 10% of the population are women and voted for AA

P( women & candidate AA) = 0.10

so

p( Candidate AA) =  P( women & candidate AA) / P( women/Candidate AA)

p( Candidate AA)  = 0.10 / 0.31

p( Candidate AA)  = 0.323

p( Candidate AA)  = 32.3%

Therefore the percentage of people that voted for candidate AA is 32.3%

Answer:

The probability that the mean amplifier output would be greater than 449.8 watts in a sample of 76 amplifiers is 0.8078.

Step-by-step explanation:

According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.  

Then, the mean of the sample means is given by,

[tex]\mu_{\bar x}=\mu[/tex]

And the standard deviation of the sample means is given by,

[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]

The information provided is as follows:

[tex]\mu=451\\\sigma^{2}=144\\n=76\\\bar x=449.8[/tex]

Compute the probability that the mean amplifier output would be greater than 449.8 watts in a sample of 76 amplifiers as follows:

[tex]P(\bar X>449.8)=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}>\frac{449.8-451}{\sqrt{144/76}})\\\\=P(Z>-0.87)\\\\=P(Z<0.87)\\\\=0.8078[/tex]

*Use a z-table.

Thus, the probability that the mean amplifier output would be greater than 449.8 watts in a sample of 76 amplifiers is 0.8078.

Answer:

There are 48 cups in 3 gallons!

Hope this helped! :)

Answer:

c

Step-by-step explanation:

edge2020

The solutions to the quadratic equation 4(x + 2)² = 36 is x = -5 and x = 1.

Hence, option c) x = -5 and x = 1 is the correct answer.

What is a Quadratic Equation?

Quadratic equation is simply an algebraic expression of the second degree in x. Quadratic equation in its standard form is;

ax² + bx + c = 0

Where x is the unknown

To solve for x, we use the quadratic formula

x = (-b±√(b² - 4ac)) / (2a)

Given that;

4(x + 2)² = 36

4( x(x + 2) + 2(x+2) ) = 36

4( x² + 2x + 2x + 4 ) = 36

4( x² + 4x + 4 ) = 36

4x² + 16x + 16 = 36

4x² + 16x + 16 - 36 = 0

4x² + 16x - 20 = 0

We can further simply ( divide through by 4 )

x² + 4x - 5 = 0

Hence,

x = (-b±√(b² - 4ac)) / (2a)

x = (-4±√(4² - (4 × 1 × -5)) / (2×1)

x = (-4±√(16 - (-20)) / (2)

x = (-4±√(16 + 20)) / (2)

x = (-4±√(36)) / 2

x = (-4±6)) / 2

Hence

x = (-4-6)) / 2 and x = (-4+6)) / 2

x = -10/2 and x = 2/2

x = -5 and x = 1

The solutions to the quadratic equation 4(x + 2)² = 36 is x = -5 and x = 1.

Hence, option c) x = -5 and x = 1 is the correct answer.

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Answer:

Hi there~

y=87

X side. Y side  

1. 3

2. 5

3. 7

4. 9

5. 11

Step-by-step explanation:

We can see that ix x = 1 and y = 3, then that means 1+2

then its 2+3 then 3+4 and so on

So 43 + 44 = 87

So y should equal 87 :)

Answer:Learn how to find the distance between two points by using the distance formula, which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points. Created by Sal Khan and CK-12 Foundation

Step-by-step explanation: