If y varies jointly as x and z and inversely as the square of w, and y = 3 when x = 3, Z = 10, and w = 2, then y = 4 when x = 4, z = 20, and w= 4.

True or False ?

Answers

Answer 1

Answer:

True ; it is true

Step-by-step explanation:

Answer 2

The statement that y = 4 when x = 4, z = 20, and w= 4 is not true because the constant of proportionality is not equals to 2 / 5.

What is variation?

Variation describes a simple relationship between two variables.

Therefore, y varies jointly as x and z and inversely as the square of w

y ∝ xz ∝ 1 / w²

Therefore,

y = kxz / w²

where

k = constant of proportionality

Hence,

y = 3

x = 3

z = 10

w = 2

yw² / xz = k

k = 3 × 2² / 3 × 10

k = 12 / 30

k = 6 / 15 = 2 / 5

Therefore, let's test for y = 4 when x = 4, z = 20, and w= 4.

k = 4 × 4²  / 4 × 20

k = 64 / 80

k = 16 / 20 = 4 / 5

learn more on variation here: https://brainly.com/question/17068737

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x - -13 = 11 PLEASE HELP

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Answer:

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Step-by-step explanation:

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y = - x - 10

There are stars to circle there are 4 stars and 2 circles how much is the ratio

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Mitchell walked 5/12 of a mile in 1/2 of an hour. At this rate, how far could Mitchell walk in 1 hour?

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[tex]2 \times \frac{1}{2} hour = 1hour \\ [/tex]

Thus ;

[tex]2 \times \frac{5}{12} \: \: miles = \frac{10}{12} \: \: miles = \frac{5}{6} \: \: miles \\ [/tex]

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I think the answer is 5/6

Leila bought 3 bananas, which weighed a total of 3/4 of a pound . if each banana weighed the same amount , what is the weight of each banana ?​

Answers

Answer:

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Step-by-step explanation:

3/4 (total weight)

3 bananas

(3/4)/3=1/4

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three less than the sum of a number and
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Answers

Answer:

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Step-by-step explanation:

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Hope this helps and pls do mark me brainliest:)

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Answers

Answer:

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Step-by-step explanation:

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Lae bought grapes for $1.50 per pound.

Answers

Answer:

Where is the question or is that it?

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Where would you locate √6 on the number line?...
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Between 2.25 and 2.5​

Answers

Answer:

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Step-by-step explanation:

The square root of 6 is 2.4494.... which is closer to 2.5

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Answer:

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Step-by-step explanation:

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m ULE is 60 degrees.
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Answer:

Step-by-step explanation:

28

Answer:

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Convert as indicated.
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Answers

Answer:

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Step-by-step explanation:

Answer:

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108 ounces equal to about 7 pounds if you round.

Step-by-step explanation:

Hope this helped : )

Joe has 6 marbles. Joe and Kay have 11 marbles. Kay and Sara have 7 marbles. How many marbles does Sara have?

Answers

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Joe = 6

J + K = 11

Kay = 5

K + S = 7

Sara = 2

A scientist is filling beakers of water for an experiment. He begins with 3 liters of water in a large container and each beaker holds 2/5 of a liter of water. How many beakers can the scientist fill?

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Answer:

just looking for free point..

Step-by-step explanation:

help with this question please ​

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It is : D

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The radius of a circle is 10 meters. What is the angle measure of an arc bounding a sector
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Rip king von‼️ to send respect mark me brainiest

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Answer:

A

Step-by-step explanation:

-2/3 = -4/6, -4/6 + -4/6 = -8/6 = -4/3

Answer: D. -4/3

Step-by-step explanation:

-2/3 + -4/6

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so -2 * 2 and 3 * 2 = -4/6

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Jose uses 1/5 cup of red paint for every 3/5 cup of blue paint to make purple paint. Enter the number of cups of red paint Evelyn uses for 1 cup of blue paint.
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Answers

1/3 red cups in order to use 1 blue cup of paint

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Answers

Answer:

45+3 = 6=N

48_6= N

42= N

:. N= 42

Step-by-step explanation:

:. N= 42

Answer:

did you mean to put 2 equal signs in this?

Step-by-step explanation:

that would make this false because the first part equals 48 and the second equals 6 and since 48 doesn't equal 6 this is a false statement

For homework, a student had to complete 54 problems total. If she finished 9 problems in
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Answers

Answer:

10

Step-by-step explanation:

Answer:

45:9

Step-by-step explanation:

80% of teenagers have access to some social media . If you do a random survey of 400 teenagers, what is the probability that between 300 and 340 of them will patronize it.

Answers

Answer:

P(300 < p^ < 340) = 0.9876 or 98.76%

Step-by-step explanation:

We are given;

Population proportion; p = 80% = 0.8

Sample proportion; p1^ = 300/400 = 0.75 and p2^ = 340/400 = 0.85

Sample size: n = 400

z-score formula for sample proportion is;

z = (p^ - p)/(√(p(1 - p)/n)

Thus;

z1 = (0.75 - 0.8)/(√(0.8(1 - 0.8)/400)

z1 = -0.05/0.02

z1 = -2.5

z2 = (0.85 - 0.8)/(√(0.8(1 - 0.8)/400)

z2 = 0.05/0.02

z2 = 2.5

From online calculator of probability between 2 z-scores, we have;

P(-2.5 < z > 2.5) ≈ 0.9876

Researchers are interested in estimating the percentage of Americans who will get a flu shot this year. How many Americans should be surveyed to be 80% confident that the sample proportion of Americans who will get a flu shot this year is within 0.100 of the population proportion Assume we have a prior estimate of 45%. Round your z critical value to four decimal places.

Answers

Answer:

The sample size bedded is   [tex]n =41[/tex]

Step-by-step explanation:

From the question we are told that

   The margin of error is  [tex]E = 0.100[/tex]

    The sample proportion is  [tex]\^ p = 0.45[/tex]

From the question we are told the confidence level is  80% , hence the level of significance is    

      [tex]\alpha = (100 - 80) \%[/tex]

=>   [tex]\alpha = 0.20[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.282[/tex]

Generally the sample size is mathematically represented as  

    [tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]

=> [tex]n = [\frac{1.282}{ 0.100} ]^2 *0.45 (1 - 0.45 ) [/tex]

=> [tex]n =41[/tex]

[solved] These Cylinders are similar. Find the volume of the smaller cylinder. Round to the nearest tenth. (the answer is 84.9 cm^3)

Answers

Answer:

84.9 cm³

Step-by-step explanation:

Height of the bigger Cylinder = 5 cm

Volume of the bigger Cylinder = 393 cm³

Height of the smaller cylinder = 3 cm

Volume of the smaller cylinder = x cm³

Since they are similar, therefore: the cube of their ratio would equal the ratio of their volume.

Thus:

[tex] (\frac{5}{3})^3 = \frac{393}{x} [/tex]

[tex] \frac{125}{27} = \frac{393}{x} [/tex]

Cross multiply

[tex] 125*x = 393*27 [/tex]

[tex] 125x = 10,611 [/tex]

Divide both sides by 125

[tex] \frac{125x}{125} = \frac{10,611}{125} [/tex]

[tex] x = 84.888 [/tex]

Volume of the smaller cylinder = 84.9 cm³ (to nearest tenth?

I suck at math I need help

Answers

Answer:

74° is the answer

In the triangle

112°+33°+a=180. (sum of angles of triangle)

a=180-145

a=35°

a+b+71°=180. (linear pair)

35°+b+71°=180

b=180-106

{b= 74°}

5
y=2x+5y, equals, 2, x, plus, 5
Complete the missing value in the solution to the equation.
(
2
,

Answers

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[tex]y = f(x) = 2x + 5[/tex]

[tex]f(2) = 2(2) + 5[/tex]

[tex]f(2) = 4 + 5[/tex]

[tex]f(2) = 9[/tex]

Thus ;

[tex]( \: 2 \: , \: 9 \: )[/tex]

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Answer:

9

Step-by-step explanation:

Rudy has been paying an annual homeowners insurance premium of $1,106.30 ($0.37 per $100 of value) since

he first purchased his house. For the past six months, Rudy has completed some major improvements to his

house to improve its overall value. If Rudy successfully adds $50,000 to the value of his house, what will his new

annual homeowners insurance premium be?

a. $185.00

b. $315.00

c. $1,291.30

d. $1.351.14

Please select the best answer from the choices provided

Answers

Answer:

c. $1,291.30

Step-by-step explanation:

Calculation what will his new annual homeowners insurance premium be

Insurance premium= [$1,106.30+ ($0.37/ $100*$50,000)]

Insurance premium=$1,106.30+$185

Insurance premium=$1,291.30

Therefore what his new annual homeowners insurance premium will be is $1,291.30

Answer:

c

Step-by-step explanation:

edge 2021

Plz answer this i have a test and im lost i will give brainliest

Answers

Answer:

its b :) im pretty sure

Step-by-step explanation:

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