You want to estimate how many fish there are in a pond. Suppose you cature 140 fish, tag them, and throw them back into the pond. After a couple of days, you go back to the pond and capture 420 fish, of which 28 are tagged.

Given:

Over 12 hours the water in Julie's pool drained a total of 534.72 liters.

It drained the same number of liters each hour.

To find:

The change in the number of liters of water in Julie's pool each hour and what is the unit rate.

Solution:

We have,

Water drained in 12 hours = 534.72 liters

Water drained in 1 hour = [tex]\dfrac{534.72}{12}[/tex] liters

                                       = [tex]44.56[/tex] liters

44.56 liters water drained in 1 hour.

So, the change in the number of liters of water in Julie's pool each hour is 44.56 liters.

The water is decreasing with respect to time, so the rate of change must be negative.

Rate of change = -44.56 liter per hour

Therefore, the rate of change is -44.56 liter per hour.

Step-by-step explanation:

25 - 2(5 + 4x)

= 25 - 10 - 8x (Distributive Property)

= 15 - 8x.

Answer:

42.9 miles in one week

Step-by-step explanation:

Answer:

All answers expect CD

Step-by-step explanation:

A circle is a shape that has a fixed point(called the center) that is equal from any point on the circle arc. A radius is from the center of the circle to the circumference( the circle's arc) and is half of the diameter.. Using those logic, AC,AD  are a radius  because it half of diameter,  AE, AG, AB are one because it goes from the center of the circle to its point on the circle arc. C

CD is the diameter.

Answer:

Write it in it’s factored form

Step-by-step explanation:

For more info you can look it up.

Answer:

Volume = 1436.8 cm³

Step-by-step explanation:

Formula for the volume of a sphere = [tex]\frac{4}{3}\pi r^{3}[/tex]

Here, r = radius of the sphere

For a sphere which has the radius = 7 cm

Volume of the sphere = [tex]\frac{4}{3}\pi (7)^3[/tex]

                                     = 1436.76

                                     ≈ 1436.8 cm³

Therefore, volume of the sphere is 1436.8 cm³.

Answer:

The ruler at store A cost more

Step-by-step explanation:

Ruler A=$0.95 per ruler

Ruler B=$0.92 per ruler

Answer:

it will 16y-8x and common 8 is so 2y-x

Step-by-step explanation:

2. 10x - 3 + 2x - 5 and 4(3x - 2)

10x - 3 + 2x - 5

Upon simplifying;

10x + 2x - 3 - 5

12x - 8

4(3x - 2)

12x - 8

Both expressions are equivalent - Yes!

3. 3y + 3 and 9(y + 1/3)

9(y + 1/3)

upon simplifying;

9y + 9 (1/3)

9y + 3

3y + 3

Both expressions are not equivalent - No!

4. 6(3x + 1) and 9x + 6 + 9x

6(3x + 1)

upon simplifying;

6(3x) + 6 (1)

18x + 6

9x + 6 + 9x

Upon simplifying;

9x + 9x + 6

18x + 6

Both expressions are equivalent - Yes!

Answer:

y = -2x + 9

Step-by-step explanation:

The equation of the new line is the same as that of this given line, EXCEPT that the constant will be different.

Start with y = mx + b; substitute 1 for y, 4 for x and -2 for m:

1 = -2(4) + b

Then b = 9, and y = -2x + 9

Answer:

1.     y= -1/4x +2

2.    y= -2x -1

Step-by-step explanation:

Answer:

I will win the war again like the last one .....

Step-by-step explanation:

For 3 side lengths of a triangle to form a right triangle, the sum of the squares of the 2 smaller side lengths must be equal to the square of the largest side. (a² + b² = c²)

Since 1² + 2² =/= 5², (5 =/= 25)

it will not form a right triangle.

Another Explanation:

Since 5 > 1 + 2, the sum of the 2 smaller side lengths is less than the largest side. Hence it will not form a triangle => not form a right triangle.

Answer: -16.1

Step-by-step explanation: Multiply.

Answer:

Step-by-step explanation:

this is an equation because it has an equal sign,

expressions do not have an = sign

Answer: Equation

Step-by-step explanation: This is an example of an equation.

Equations are mathematical sentences that contains an equals sign.

Answer: I think C

Step-by-step explanation:

Answer:

3a-27

Step-by-step explanation:

Distribute the 3

3 x a is 3a

3 x 9 is 27

Answer:

They will save $90 each month

Step-by-step explanation:

300*30%

or

300*.3

90

Answer:

49 students in total

Step-by-step explanation:

If you were to put it on loose-leaf then 3 times 21 is 7 so you do the same with 4. 4 times 7 is 28. 28 plus 21 is 49 there would be 49 students in total.

Answer:

The mean absolute deviation of the data set is 2.5

Step-by-step explanation:

We need to find mean absolute deviation of the data set:

10,8,10,6,6,2,10,4

First we will find mean of the given data set.

The formula used is: [tex]Mean=\frac{Sum\:of\:all\:data}{Number\:of\:data}[/tex]

Sum of all data = 10+8+10+6+6+2+10+4 = 56

Number of data = 8

So, mean will be:

[tex]Mean=\frac{Sum\:of\:all\:data}{Number\:of\:data}\\Mean=\frac{56}{8}\\Mean=7[/tex]

Now, we will calculate the absolute difference between mean and each data value.

|10-7| = 3

|8-7| = 1

|10-7| = 3

|6-7| = |-1| = 1

|6-7| = |-1| = 1

|2-7| = |-5| = 5

|10-7| = 3

|4-7| = |-3| = 3

Now, we will find mean of 3,1,3,1,1,5,3,3

Sum of all data = 3+1+3+1+1+5+3+3 = 20

Number of data = 8

So, mean will be:

[tex]Mean=\frac{Sum\:of\:all\:data}{Number\:of\:data}\\Mean=\frac{20}{8}\\Mean=2.5[/tex]

So, the mean absolute deviation of the data set is 2.5

Answer:

D

Plzzzzz give me Brainliest!!!!!  

Answer:

Step-by-step explanation:

b

b

lol

hope this helps <3

Answer:

in y=mx + b, b is the y intercept. Sp answer choice d.

Answer:

Constants

Step-by-step explanation:

Answer:

Workers in San Diego = 260 workers

Step-by-step explanation:

Total workers = 480

Number of offices = 3

In each office in different cities

New york = 90 workers

Denver = 130 workers

San Diego = x workers

Find x

Total number of workers = workers in New York + workers in Denver + workers in San Diego

480 = 90 + 130 + x

480 = 220 + x

480 - 220 = x

260 = x

x = 260 workers

Workers in San Diego = 260 workers

Answer:

Step-by-step explanation:

250

Answer:

90

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Given f(x) then the derivative f'(x) from first principles is

f'(x) = lim ( h tends to 0 ) [tex]\frac{f(x+h)-f(x)}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{3(x+h)^3+2-(3x^3+2)}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{3(x^3+3x^2h+3xh^2+h^3)+2-3x^3-2}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{3x^3+9x^2h+9xh^2+3h^3-3x^3}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{9x^2h+9xh^2+3h^3}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{h(9x^2+9xh+3h^3)}{h}[/tex] ← cancel h on numerator/ denominator

      = lim ( h to 0 ) 9x²+9xh+3h² ← let h go to zero

f'(x) = 9x²

Answer:

I am what's your question?

Step-by-step explanation:

Answer:

The test is worth 46 points.