Ask question

Ask question

All categories

3 years ago

5

The volume of a landfill doubles every three years. Write an exponential function to represent this.

1 answer:

stellarik [79]3 years ago

7 0

The equation would be: V = A2^(Y/3)

The basic form of an exponential equation is y = ab^x.

The a is the starting amount. In this problem, we don't know that, so we just leave it as a.

The b is the rate. In this case, we are doubling the volume so we times it by 2.

The x is the amount of years. Since it is every 3 years, we can divide the x by 3.

You might be interested in

Solve for k.<br> 2k = -7.56

Mamont248 [21]

Answer:

k= -/+3.78

Step-by-step explanation:

you devid Check all the characteristics below that describe elements.

one type of atom

a pure substance

more than one type of atom

chemically combined elements

8 0

4 years ago

Why are the factors in your multiplication sentences in a different order

Diano4ka-milaya [45]

In multiplication, the order doesn't matter.

2 rows of 7 and 7 rows of 2 is the same.

If you have seven 2's, that's the same as two 7's.

See here:

2 + 2 + 2 + 2 + 2 + 2 + 2 = 14

7 + 7 = 14

Or:

2 * 7 = 7 * 2 = 14

5 0

3 years ago

A line with a slope of 4 and point (2, 1). Find the y-

Nana76 [90]

Answer: y=4x-7

Step-by-step explanation:

3 0

3 years ago

A sphere is inscribed in a cube with a surface area of 216 square centimeters. What is the volume of the sphere

pentagon [3]

Answer:

$V=298.5cm^3$

Step-by-step explanation:

To find the volume of the sphere we need to know its radius.

And the radius can be found with the information we have about the surface area.

The formula for the surface area is as follows:

$SA=4\pi r^2$

from this formula we clear the radius r:

$r^2=\frac{SA}{4\pi}\\ \\r=\sqrt{\frac{SA}{4\pi} }$

and we substitute the known value of the surface area, and also the value of $\pi$ :

$r=\sqrt{\frac{216cm^2}{4(3.1416)} }\\ \\r=\sqrt{\frac{216cm^2}{12.5664} }\\ \\r=\sqrt{17.1887cm^2}\\ \\r=4.146cm$

and now that we know the radius we find the volume:

$V=\frac{4\pi r^3}{3} \\\\V=\frac{4(3.1416)(4.146cm)^3}{3}\\ \\V=\frac{895.521cm^3}{3}\\ \\V=298.5cm^3$

the volume of the sphere is $298.5cm^3$

7 0

3 years ago

1. What is the slope of the line that passes through the given points? <br> (2, 12) and (6, 11)

Y_Kistochka [10]

Answer:

-1/4x

Step-by-step explanation:

11-12/6-2 = -1/4

8 0

3 years ago