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3 years ago

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

1 answer:

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.

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Using indefinite integration. Calculate the following integrals.

natta225 [31]

Step-by-step explanation:

$A) \ y=\int\ ({0.5sin3x+5cos10x}) \, dx=0.5sin10x-\frac{1}{6}cos3x+C;$

$B) \ y=\int\ {12e^{4x}} \, dx=3e^{4x}+C;$

$C) \ y=\int\ {0.5x+6x^2} \, dx=0.25x^2+2x^3+C;$

5 0

2 years ago

YEAH i need HELp sadcjbejlfbcrh

Nonamiya [84]

Answer:

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Step-by-step explanation:

I’m pretty sure it’s this

3 0

3 years ago

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Use the elimination method to solve this system.

leva [86]

Answer:

The solution for this system is: $x = -1, y = 1$

Step-by-step explanation:

The problem states that we have to solve this system by the elimination method

In the elimination method, we transform the system in such a way that one variable can cancel each other. With this, we find the result of the other variable. Then, we can replace the variable we found in any of the equations, and we have the value of the variable that we had initially canceled.

In this problem, we have the following system:

$1) -6x + 5y = 1$

$2) 6x + 4y = -10$

If we add equations 1) and 2), the variable x is going to be eliminated

$1) + 2)$

$-6x + 6x + 5y + 4y = 1 - 10$

$9y = -9$

$y = \frac{-9}{9}$

$y = -1$

Now, we can replace the value of y in any of the equations, to find x:

I will replace in equation 2)

$6x + 4y = -10$

$6x + 4(-1) = -10$

$6x = -6$

$x = \frac{-6}{6}$

$x = -1$

The solution for this system is: $x = -1, y = 1$

5 0

3 years ago

Which answer describes the transformation of f (x) = x^2 −1 to g(x)=(x+2)^2−1 ?

pentagon [3]

Answer: A horizontal translation 2 units to the left

In this case, we are changing the variable x before it is being squared. This will have the effect of changing the input of the function. Imagine input 2 into the equation. Your first step would be to add 2. Therefore, you would need to start with a negative 2 to get us back to 0, or the beginning.

Since -2 is to the left of 0, the graph is moving 2 units to the left.

7 0

3 years ago

The sum of c and 9 is equal to 16

amid [387]

Answer:

c = 7

Step-by-step explanation:

The sum means to add c and 9, that is

c + 9 = 16 ( subtract 9 from both sides )

c = 16 - 9 = 7

5 0

3 years ago

Read 2 more answers