A triangular prism has a Volume of 375 cubic units. Find its Volume if all of
its dimensions were reduced to one-fifth their original length?
V=
cubic units.

Answer:

A reciprocal is the fraction flipped around. So basically 3/2, 7/1, and 1/4. Since 4 is a whole number the denominator is 1. Therefore, the reciprocal is 1/4.

Answer:

Correct Answer:

C: $6,621.60

(EDGE 2021)

Step-by-step explanation:

The maximum amount of Social Security tax that could ever be charged in a single year exists $6,621.60.

Social Security exists financed through a reliable payroll tax.

Knowing that a 6.2% Social Security tax exists applied to a maximum wage of $106,800, the maximum amount of Social Security tax that could ever be charged in a single year stands at $6,621.60. Social Security offers all but unemployment insurance.

Therefore, the correct answer is option c. $6,621.60

To learn more about Social Security tax

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x ^2 + y ^2 = 9   =>   y = y(x) = ± √(9 - x ^2)

Each cross section would be a square with side length equal to the vertical distance between the upper and lower semicircles defined by y(x), which is

√(9 - x ^2) - (- √(9 - x ^2)) = 2 √(9 - x ^2)

The area of each square section is the square of this length,

(2 √(9 - x ^2)) = 4 (9 - x ^2) = 36 - 4x ^2

We get the whole solid for -3 ≤ x ≤ 3, so integrating gives a volume of

[tex]\displaystyle\int_{-3}^3(36-4x^2)\,\mathrm dx=\boxed{144}[/tex]

The profit made id each sign is sold for $20 is $4460

The profit model, P(x) = -10x² + 498x - 1,500

Where, x = price per sign sold

If the price per sign sold is $20. Hence, x = $20

The profit made can be calculated thus :

Put x = 20 in the profit function :

P(20) = -10(20)² + 498(20) - 1,500

P(20) = - 10(400) + 9960 - 1500

P(20) = - 4000 + 9960 - 1500

P(20) = $4,460

The profit made is $4,460

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Answer:

$4,460

Step-by-step explanation:

I got a 100% on my test

2(z+10)

2z+20

Answer:

2z+20

Answer:

C

Step-by-step explanation:

because I took the test

Answer:

Step-by-step explanation:

-9,-4,0,1,3

Answer: From least to greatest. = -9, -4, 0, 1, 3.

Step-by-step explanation:

$540 - $353.59 = $186.41

$186.41 - $4.98 = $181.43

$181.43 - $38.67 = $142.8

She has $142.8 left and if she want to buy the outfits for $49.20 she is going to have $93.6 left

Answer:

0.4762 = 47.62% probability that this bulb was produced by factory A

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Bulb is defective.

Event B: Produced by factory A.

Probability of a bulb being defective.

5% of 40%(factory A)

3% of 20%(factory B)

4% of 40%(factory C). So

[tex]P(A) = 0.05*0.4 + 0.03*0.2 + 0.04*0.4 = 0.042[/tex]

Defective and from factory A:

5% of 40%. So

[tex]P(A \cap B) = 0.05*0.4 = 0.02[/tex]

What is the probability that this bulb was produced by factory A?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.02}{0.042} = 0.4762[/tex]

0.4762 = 47.62% probability that this bulb was produced by factory A

Step-by-step explanation:

To get the x-intercept, set y = 0. Then solve for x:

[tex]9 {x}^{2} = 18 \\ x = \sqrt{2} [/tex]

Therefore, the x-intercept is

[tex]( \sqrt{2} \: \: \: \: 0)[/tex]

Answer:

The answer is 25 + 11

Step-by-step explanation:

Hope this helps

Answer:

1:1.5

Step-by-step explanation:

Divide both numbers by 4 to get 1:1.5

Answer:

9/38

Step-by-step explanation:

The odds of your drawing an even card from the deck are 10/20, or 1/2. The odds of your friend also taking an even card after (WITHOUT recplacing the card) is 9/19, which cannot be further simplified. You multiply the two -- 1/2 * 9/19 -- which results in your answer, 9/38. This is a dependent probability.

First lets find the total number of cookies

12*4=48

48 cookies

Number of cookies eaten

5*2=10

10 were eaten

Cookies left

48-10=38

38/48=19/24

19/24 of the cookies are left

Answer:

38 are left

Step-by-step explanation:

Answer:

the volume is 904.32. that guy I don't know what

A 721

14471

IN 288rt

means

Answer: Tammy would have 9

Step-by-step explanation:

(6 3/4) / (3/4) =

= 27/4 / 3/4

= 27/4 * 4/3

= 27/3 * 4/4

= 9

Answer:

Heather is correct.

Step-by-step explanation:

Two figures are similar if the figures have the same shape but different size

Two figures are congruent if they have the same shape and size.

So, if we dilate a given figure (by any factor different than one) then we are changing the size of this figure.

Finally, a figure and its dilation can't be congruent, as these figures have different size (but still have the same shape, so the figures are always similar)

Then Heather is correct.

Answer:

false

Step-by-step explanation:

:)))))))))))))))))

The correct answer is 90

Answer:

The integer can be -1 or 5.

Step-by-step explanation:

Let an integer is x.

ATQ,

The square of an integer is 5 more than 4 times the integer.

[tex]x^2=5+4x[/tex]

or

[tex]x^2-5-4x=0\\\\x^2-4x-5=0[/tex]

It is a quadratic equation. Using middle term splitting,

[tex]x^2-5x+x-5=0\\\\x(x-5)+1(x-5)=0\\\\(x+1)(x-5)=0\\\\x=-1,5[/tex]

So, the integer can be -1 or 5.

If the square of an integer is 5 more than 4 times the integer, the integers are -1 and 5

Let the unkown integer be "x"

The square of an integer is expressed as x^2

5 more than 4 times the integer is expressed as [tex]4x +5[/tex]

Equate both expressions to have:

[tex]x^2 = 4x + 5\\[/tex]

Equate to zero and factorize:

x^2 - 4x - 5  = 0

x^2 - 5x + x - 5 = 0

x(x - 5) + 1(x - 5) = 0

(x + 1)(x - 5) = 0

x = -1 and 5

Hence the integers are -1 and 5

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Answer:

5

Step-by-step explanation:

Answer:

False i just did it

Step-by-step explanation:

Answer:

288

Step-by-step explanation:

you would do 180 devided by 3 then multiply that number by 5

Answer:

Equations would be;

30 + 50 + y = 180

and

y = 180 - 80

Additional:

If you are looking for y and u value then here they are:

y = 100°

u = 25°

Hope this helps!

Answer:

44 in.

Step-by-step explanation:

3 ft 8 in.

1 ft = 12 in.

3 ft = 36 in.

36 in. 8 in.

44 in.

A state in the United States has 193,116 residents living in 22 countries.

[tex]\frac{1}{y} :\frac{22}{193,116}[/tex]

y · 22 = 1 · 193,116

22y = 193,116

22y ÷ 22 = 193,116 ÷ 22

y = 8778

The rate is 8778.

Answer:

y = 3x + 1

Step-by-step explanation:

The way you find slope is change in y over change in x, (as a fraction).

So then your equation is y = 3x because the y value goes up 3 times and the x goes up once (3/1), and then you see what value y has when x = 0 to find the b value, which is one.

Step-by-step explanation:

hope it is helpful to you

X = -25

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

0.55x + 5 = 0.75x + 10

Step 2: Subtract 0.75x from both sides.

0.55x + 5 − 0.75x = 0.75x + 10 − 0.75x

−0.2x + 5 = 10

Step 3: Subtract 5 from both sides.

−0.2x + 5 − 5 = 10 − 5

−0.2x = 5

Step 4: Divide both sides by -0.2.

−0.2x/−0.2 = 5/−0.2

x = −25

Answer:

A .part of a line that has two end points

Answer:

Gross margin= $50

Step-by-step explanation:

Giving the following information:

Selling price= $264

Unitary cost= $214

To calculate the gross margin, we need to deduct from the selling price the unitary cost:

Gross margin= selling price - unitary cost

Gross margin= 264 - 214

Gross margin= $50

Answer:

29, 35, 41

Step-by-step explanation:

The difference is always 6