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3 years ago

What pattern do you see in the powers of 3

1 answer:

6 0

$3^1$ = 3
 $3^2$ = 9
 $3^3$ = 27
 $3^4$ = 81
 $3^5$ = 243
 $3^6$ = 729
$3^7$ = 2187
 $3^8$ = 6561
 $3^9$ = 19683
$3^1^0$ = 59049

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A triangle with one angle larger than 90° is called a(n) triangle.

Ahat [919]

Answer:

Step-by-step explanation:

Obtuse

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8 0

4 years ago

Read 2 more answers

5x + 9 equals 2x + 12. What is the value of x?

jenyasd209 [6]

Answer: x = 1

Step-by-step explanation: When we have this kind of setup, we want to put our variables together on one side of the equation and our numbers together on the other side of the equation.

So first, let's put our variables together on the left side

by subtracting 2x from both sides of the equation.

That gives us 3x + 9 = 12.

Now we can move our numbers to the right by

subtracting 9 from both sides and we get 3x = 3.

Now divide both sides by 3 and x = 1.

4 0

3 years ago

A rectangle of perimeter 18 in. is rotated about one of its sides to generate a right circular cylinder. Find the rectangle whic

Margarita [4]

The volume of the cylinder from the rectangle is the size of the cylinder

The rectangle that generates the cylinder of the largest volume is 3 inches by 6 inches

<h3>How to determine the rectangle</h3>

Let the dimension of the rectangle be x and y.

So, the perimeter (P) is:

$P = 2 * (x + y)$

The perimeter is given as 18.

So, we have:

$2 * (x + y) = 18$

Divide both sides by 2

$x + y = 9$

Make y the subject

$y = 9 - x$

The volume of a cylinder is:

$V = \pi r^2h$

So, we have:

$V = \pi x^2(9 -x)$

Expand

$V = \pi(9x^2 -x^3)$

Differentiate

$V' = \pi(18x -3x^2)$

Set to 0

$\pi(18x -3x^2) = 0$

Divide both sides by $\pi$

$18x -3x^2 = 0$

Divide both sides by 3x

$6 -x = 0$

Make x the subject

$x = 6$

Recall that:

$y = 9 - x$

So, we have:

$y = 9 - 6$

$y = 3$

Hence, the rectangle that generates the cylinder of the largest volume is 3 inches by 6 inches

Read more about volumes at:

brainly.com/question/10171109

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3 years ago

{y = 308x y = 122x + 2,338 Solve the linear equation.

Mumz [18]

Answer:

$y - 308x = 0 \\ y - 122x = 2338 \\ y - 308x = 0ndy - 122x = 2338 \\ y - y - 308x + 122x = - 2338 \\ - 308x + 122x = - 2338 \\ - 186x = - 2338 \\ x = \frac{1169}{93} \\ y = 122 \times ( \frac{1169}{93} ) = 2338 \\ y - ( \frac{360052}{93} ) \\$