What expression are equivalent 4^-32/4^2?

For a sphere with a radius of 8, what is the surface area

stepan [7]

Answer:

64

Step-by-step explanation:

4 0

4 years ago

Answer this correctly for brainliest pls!!

Molodets [167]

A function that depicts depreciation can be represented as equations, graphs and tables.

<h3>The yearly value of each car for the first five years</h3>

The functions are given as:

$V(t) =C(1 - r^t)$

$V(t) =C(1 - r)^t$

Where:

C = 5895 --- the initial value of the car

r = 22% --- the rate of depreciation

For the first 5 years, the values of t = 1, 2, 3, 4 and 5

For the first function, we have:

$V(1) =5895(1 - 22\%^1) = 4598.1$

$V(2) =5895(1 - 22\%^2) = 5609.7$

$V(3) =5895(1 - 22\%^3) = 5832.2$

$V(4) =5895(1 - 22\%^4) = 5881.2$

$V(5) =5895(1 - 22\%^5) = 5892.0$

For the second function, we have

$V(1) =5895(1 - 22\%)^1 = 4598.1$

$V(2) =5895(1 - 22\%)^2 = 3586.5$

$V(3) =5895(1 - 22\%)^3 = 2797.5$

$V(4) =5895(1 - 22\%)^4 =2182.0$

$V(5) =5895(1 - 22\%)^5 = 1702.0$

So, the table of values is:

$\left[\begin{array}{ccc}Years&Car\ 1&Car\ 2\\1&4598.1&4598.1\\2&5609.7&3586.5\\3&5832.2&2797.5\\4&5881.2&2182.0\\5&5892.0&1702.0\end{array}\right]$

See attachment for the graphs of the two functions

<h3>Interpreting the graphs</h3>

The graph of car 1 increases up to C(t) = 5895, and then remains constant as the value of t increases while the graph of car 2 follows an exponential pattern.

This means that, the graph 2 that follows an exponential pattern is more realistic

<h3>The worth of the cars after 5 years</h3>

From the table, the worth of car 1 is $5892.0, while the worth of car 1 is $1702.0

Read more about graphs and functions at:

brainly.com/question/13473114

5 0

2 years ago

Which statement can be used to prove that a given parallelogram is a rectangle?

Thepotemich [5.8K]

Diagonals of the parallelogram are congruent.

5 0

3 years ago

Read 2 more answers

Someone explain and help plsss

fenix001 [56]

Answer:

(-1, 6)

Step-by-step explanation:

The midpoint is the halfway point. So, if M is the midpoint of PQ, then simply take the distance between your P and M co-ordinates and apply that one more time to get to Q.

Your x value at point M is 5, and your x value at point P is 11.

11 and 5 are 6 units apart.

Since M is in the middle of P and Q, M is therefore 6 units apart from both P and Q on the x-axis, so we can subtract 6 from 5 to find Q's x co-ordinate of -1.

Your y value at point M is -2, and your y value at point P is -10.

-10 and -2 are 8 units apart.

Add 8 to M to find your y co-ordinate at point Q of 6.

Your Q point is at (-1, 6).

5 0

3 years ago

Can someone help me please

GalinKa [24]

Answer:

The slope is $\frac{1}{2}$

Step-by-step explanation:

If you graph out the points on a line, you can clearly see that the rise between the points on the graph is 2, while the run is 4. This would give you $\frac{2}{4}$ , so if you simplify the fraction, you would get $\frac{1}{2}$ .

8 0

4 years ago