Step 1: 1x-21+3=7 step 2: 1x-21=7-3 step 3: 1x-21=4 what would the next step be to solve equation

What is the volume of this sphere?

White raven [17]

V = 113.04 m3

Step-by-step explanation:

Sphere Volume :

Volume = (4/3)πr3

Surface Area = 4πr2

6 0

2 years ago

Read 2 more answers

What is the solution of 2x^2+8=x^2-16

AfilCa [17]

Answer:

x = -12

Step-by-step explanation:

2x^2 + 8 = x^2 - 16

2x + 2x + 8 = x + x - 16

4x + 8 = 2x - 16

-2x -2x

2x + 8 = -16

-8 -8

2x = -24

---- ------

2 2

x = -12

8 0

3 years ago

Drag each tile to the correct box.

Natasha_Volkova [10]

Answer:

1) Function h

interval [3, 5]

rate of change 6

2) Function f

interval [3, 6]

rate of change 8.33

3) Function g

interval [2, 3]

rate of change 9.6

Step-by-step explanation:

we know that

To find the average rate of change, we divide the change in the output value by the change in the input value

the average rate of change is equal to

$\frac{f(b)-f(a)}{b-a}$

step 1

Find the average rate of change of function h(x) over interval [3,5]

Looking at the third picture (table)

$f(a)=h(3)=4$

$f(b)=h(5)=16$

$a=3$

$b=5$

Substitute

$\frac{16-4}{5-3}=6$

step 2

Find the average rate of change of function f(x) over interval [3,6]

Looking at the graph

$f(a)=f(3)=10$

$f(b)=f(6)=35$

$a=3$

$b=6$

Substitute

$\frac{35-10}{6-3}=8.33$

step 3

Find the average rate of change of function g(x) over interval [2,3]

we have

$g(x)=\frac{1}{5}(4)^x$

$f(a)=g(2)=\frac{1}{5}(4)^2=\frac{16}{5}$

$f(b)=g(3)=\frac{1}{5}(4)^3=\frac{64}{5}$

$a=2$

$b=3$

Substitute

$\frac{\frac{64}{5}-\frac{16}{5}}{3-2}=9.6$

therefore

In order from least to greatest according to their average rates of change over those intervals

1) Function h

interval [3, 5]

rate of change 6

2) Function f

interval [3, 6]

rate of change 8.33

3) Function g

interval [2, 3]

rate of change 9.6

7 0

3 years ago

READ WHOLE QUESTION!:There are 50 campers at day camp and 10 counselors.Write the ratio campers to counselors as a fraction.Expl

Dovator [93]

<span>Given that there are 50 campers at day camp and 10 counselors.

The ratio of campers to counselors as a fraction is given by $\frac{50}{10}$ .

Using equivalent fractions we have $\frac{50\div10}{10\div10} = \frac{5}{1}$ .

Thus, the related rate and unit rate to the ratio of campers to counselors is given by $\frac{5}{1}$ .

The unit rate indicates that for every counselor, there are 5 campers.</span>

6 0

3 years ago

please help me i have a huge science test that i have to study for after this so PLEASE HELP ME GET THE ANSWER

enot [183]

Usually, quadratic equations equal 0, and to find the solution you need to make x equal the value that, when added or subtracted to the rest of its bracket, makes 0. This means that your answer is (x + 5)(x - 2) = 0, because 5 - 5 = 0 and 2 - 2 = 0. I hope this helps! Let me know if you would like me to explain further :)

4 0

3 years ago