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Complete question :

Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation. If y varies inversely as the square of x, and y= 1/8 when x=1, find y when x=5

Answer:

k = 1/8

y = 1 / 200

Step-by-step explanation:

Let the constant of variation = k

y varies inversely as the square of x

y α 1/x²

y = k * 1/x²

y = k/x²

y = 1/8 ; x = 1

1/8 = k/1²

1/8 = k

K = 1/8

y ; when x = 5

y = (1/8 ÷ 5²)

y = 1/8 * 1/5²

y = 1/8 * 1/25

y = 1 / 200

Answer:

C

Step-by-step explanation:

Edge 22

Answer:

length = 14 m

width = 7 m

Step-by-step explanation:

l = length

w = width

l = 2w - 8

w(2w - 8) = 42

2w² - 8w - 42 = 0

you can factor out a 2 to work with smaller numbers:

w² - 4w - 21 = 0

(w - 7)(w + 3) = 0

w = 7

'w' cannot equal a negative so we discount it as an answer

find length:

l = 2(7) - 8

l = 14 - 8 or 6m

Answer:B

Step-by-step explanation:

Answer:b

Step-by-step explanation:

Answer:

0.147

Step-by-step explanation:

This is rounded to the nearest thousandths place. 11 divided by 75 is 0.147.

Answer:

0.14666666 (or put the symbol for a repeating number on the first 6, that way you don't have to write all of the other sixes)

Hope this helps :)

Answer:

X = 4

Step-by-step explanation:

7x + 3 = 31

Step 1: Subtract 3 from both sides.

7x + 3 - 3 = 31 - 3

7x = 28

Step 2: Divide both sides by 7.

7x/7 = 28/7

Therefore, the answer is X = 4

Answer:

x= 2,-3

Step-by-step explanation:

Is this what you want?

Answer:

x=4

Step-by-step explanation:

3(x-1)=9

3x-3=9

3x=9+3

3x=12

x=4

Answer:

x=4

Step-by-step explanation:

[tex]3(x - 1) = 9[/tex]

[tex]x - 1 = 9 \div 3[/tex]

[tex]x - 1 = 3[/tex]

[tex]x = 3 + 1[/tex]

[tex] x = 4[/tex]

Answer:

yess!!!

step-by-step explained.

......

Answer:

24 2/3 feet

Step-by-step explanation:

If the shadow makes is 3 times longer, then the height of the tree is 74/3

74/3 = 24 2/3

Answer:

True

Step-by-step explanation:

We can sue the pythagorean theorem to verify. 15^2+36^2 should equal the longest side squared or 39^2. If we plug in the numbers, it checks out!

Answer:

true

Step-by-step explanation:

we can use the Pythagorean theorem to verify if the sum of the squares built on the legs is equal to the square built on the hypotenuse

36^2 + 15^2 = 39^2

1296 + 225 = 1521

1521 = 1521

the equality is verified so the answer is true

Answer:

0.75 is the answer!

Step-by-step explanation:

1/4+1/2=0.75

Answer:

4(x²+14x+49)-49+13=0

4x²+56x+196-49+13=0

4x²+56x+160=0

D=3136-2560=576

x1=-56+24/8=-4

x2=-56-24/16=-10

Answer:

Sugar for 1 cake = 7.4 g

Sugar for 7 cakes = 7.4 × 7 = 51.8 g.

Answer:

The number of weeks and total number of books increase together at a constant rate.

As the number of weeks increases by 1, the total number of books increases by 1.

The common difference between the number of weeks and total number of books is 6.

Doubling the number of weeks also doubles the total number of books.

Step-by-step explanation:

Answer:

The volume is 12.

Step-by-step explanation:

If you multiply l x w x h

4 x 3 x 1 = 12

l x w x h

Answer:

my guess is 5 cm

Step-by-step explanation:

im not really good at math but i think its 5 cm because 60 divided by 12 is 5

hope i helped some people :D

Answer:

D

Step-by-step explanation:

The statement which is not an accurate comparison of the two dot plots is stated as: Option D) The median for both dot plots is 6

Clusters are groups in data. Each group is like clustered or grouped around some number, usually the mean of that cluster.

Spread, also called range of a data, tells the difference between the maximum and minimum value of that data, thus showing how much widely is it spread.

Thus, spread = maximum value - minimum value

For this case, we see that there are two clusters for class A and for class B there is only single cluster which is almost separated but not distinctly forming two clusters.

Class A spreads from minimum 4 to maximum 16, thus its spread is 16-4 = 12 units wide.

Class B spreads from minimum 3 to maximum 9, thus, its spread is 9-2 = 6 units wide.

Also, we can see that for class A, there is a gap from 7 to 11.

So all three options A, B and C are correct.

Now, let we find median.

Median is that value which is in mid of ordered (ascending or descending data set).

For class A, we have the data as:

4,4,4,4,4,5,5,5,6,6, 12,13,13,13,14,14
They are total 16 observations. The middle observation pair is 8th and 9th observation, which are 5 and 6

We can take any of the number between 5 and 6, so 5 < median < 6

That means median of class A's data is smaller than 6, thus, not being 6.

Thus, option D is incorrect and we don't need to find median of class B.

Thus, the statement which is not an accurate comparison of the two dot plots is stated as: Option D) The median for both dot plots is 6

Learn more about median here:

https://brainly.com/question/14315366

Answer: See explanation

Step-by-step explanation:

Amount earned by movie = $3,000,000.

Percentage that went to movie = 60%

Percentage that went to theater = 40%

Revenue gotten by movie studio = 60% × $3,000,000

= 0.6 × $3,000,000

= $1,800,000

Revenue gotten by theaters = 40% × $3,000,000

= 0.4 × $3,000,000

= $1,200,000

Answer:

53°

Step-by-step explanation:

[tex]sin^{-1}(\frac{56}{70})[/tex]=53.13010235° or 53°

Answer:

5

Step-by-step explanation:

use Pythagoras theorem

Answer:

5 units

Step-by-step explanation:

It says round to the nearest 10th so it cant be 5.1 or 4.99, and 25 is to big for that side, so 5 units

Answer:

7

Step-by-step explanation:

Answer:

x > 77

Step-by-step explanation:

According to order of operations rules, we must carry out division before addition or subtraction.  In this case we wish to isolate x and are permitted to simplify the inequality by combining the "like terms" 3 and 8, as follows:

X/7-3>8

     +3 +3

--------------

x/7 > 11

The easiest way in which to solve for x is to multiply both sides of this inequality by 7:

7(x/7) > 7(11), or

x > 77

All numbers greater than 77 are part of the solution set.

Answer:

rectangle

Step-by-step explanation:

in a rectangle, all 4 angles are 90° but only opposite sides are congruent

Answer:

2 x 3/5,  1 2/5 x 3/5,  6/6 x 3/5,  1/4 x 3/5

Hope this helps!

Given:

Triangle ABC and triangle DEF are similar triangles.

To find:

The proportion that can be used to find the length of segment DE.

Solution:

We know that the corresponding sides of similar triangles are proportional.

Triangle ABC and triangle DEF are similar triangles. So, their corresponding sides must be proportional.

[tex]\dfrac{AB}{DE}=\dfrac{BC}{EF}=\dfrac{AC}{DF}[/tex]

[tex]\dfrac{AB}{DE}=\dfrac{BC}{EF}[/tex]

[tex]\dfrac{4}{DE}=\dfrac{3}{9}[/tex]

[tex]\dfrac{4}{3}=\dfrac{DE}{9}[/tex]

Therefore, the correct option is A.

Answer:

Choice b

Step-by-step explanation:

He starts by going down, so that is descending, and would be a negative number. Then he is climbing, so that’s a positive number.

Answer:

Step-by-step explanation: