Solve this equation
2^(x+3) = 512

Answers

Answer 1

Answer: 2^(x + 3) = 512
ln(2^(x + 3)) = ln(512)
(x + 3)ln(2) = ln(512)
ln(2) ln(2)
(x + 3)ln(2) = ln(2^9)
ln(2) ln(2)
(x + 3)ln(2) = 9ln(2)
ln(2) ln(2)
x + 3 = 9
- 3 - 3
x = 6

Answer 2

Answer: x=1,the equation=16 ; x=2,the equation=32; by such analogy,when x=6,the equation=512. so the answer is x=6.

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Find the volume of a rectangular prism with length 2 m, width 7 m, and height 9 m.

Answers

Answer:

126 cubic meter

Step-by-step explanation:

because the formula of rectangular is l*w*h

Will mark brainli if you give explanation

Answers

Answer:

Step-by-step explanation

To calculate the volume, 0.5 x bxaxh If you apply that, then you get 972

What is 8x-4y=20 in slope intercept form

Answers

Answer:

y = 2x - 5

Step-by-step explanation:

8x - 4y = 20

The slope intercept form is

-4y = -8x + 20

y = 2x - 5

Final answer:

To write the equation 8x - 4y = 20 in slope-intercept form, isolate y by moving the terms around and solve for y. The slope-intercept form of the equation is y = 2x - 5.

Explanation:

To write the equation 8x - 4y = 20 in slope-intercept form, we need to solve for y. The slope-intercept form of an equation is y = mx + b, where m is the slope and b is the y-intercept.

First, let's isolate y by moving the 8x term to the other side of the equation:

8x - 4y = 20

-4y = -8x + 20

To isolate y, we divide both sides of the equation by -4:

y = 2x - 5

So, the equation 8x - 4y = 20 in slope-intercept form is y = 2x - 5.

Learn more about Slope-intercept form

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kirsten has 64 coins in her piggy bank. She has $9.25 in dimes and quarters. How many dimes and quarters does she have?

Answers

Kirsten as 19 quarters and 45 dimes

Order -3.98, 3 8/9, -3 11/12, and 3.9 repeated from least to greatest

Answers

Answer:

Step-by-step explanation:

-3.98

3 8/9 = 3.888 (repeating)

-3

3.9

least to greatest :

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you throw a ball upward. its height h in feet after t seconds can be modeled by the function h=-16t^2+30t+6.after how many seconds will it hit the ground

Answers

When the ball hit the ground, the height will be equal to "0".
h=0
Then:

-16t²+30t+6=0

we have to solve this square equation:

t=[-30⁺₋√(900+384)] / (-32)
t=(-30⁺₋√1284)/(-32)
we have two solutions:
t₁=(-30-√1284)/(-32)=2.06
t₂=(-30+√1284)/(-32)=-0.18 This solution is not valid.

Answer: 2.06 seconds.
t

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