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tatiyna
2 years ago
11

Simplified form of the equation 7z + 2 = 8 + 2z + 1z?

Mathematics
1 answer:
mina [271]2 years ago
5 0

Answer:

3/2

Step-by-step explanation:

7z+2=8+2z+1z

7z+2=8+3z

7z-3z+2=8

4z+2=8

4z=8-2

4z=6

z=6/4

simplify

z=3/2

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A ball dropped from the top of a building has a height of s =576- 16t2 meters after t seconds. How long does it take the ball to
Step2247 [10]

Answer:

It will take 6 seconds for the ball to reach the ground.

Velocity: -192\frac{\text{m}}{\text{s}}.

Step-by-step explanation:

We have been given that a ball dropped from the top of a building has a height of s =576-16t^2 meters after t seconds.

The ball will hit the ground, when height will be 0 meters, so we will equate height with 0 as:

576-16t^2=0

Let us solve for t.

576-576-16t^2=-576

-16t^2=-576

\frac{-16t^2}{-16}=\frac{-576}{-16}

t^2=36

Taking positive square root of both sides, we will get:

\sqrt{t^2}=\sqrt{36}

t=6

Therefore, it will take 6 seconds for the ball to reach the ground.

To find the ball's velocity at t=6, we will take the derivative of position function and evaluate derivative at t=6.

s=576-16t^2

s'=\frac{d}{dt}(576)-\frac{d}{dt}(16t^2)

s'=0-32t

s'(6)=-32(6)

s'(6)=-192

Therefore, the ball's velocity at the moment of impact would be -192\frac{\text{m}}{\text{s}}.

4 0
2 years ago
Darlene is building a rectangular fence. the length is 8 feet longer than the width. the perimeter of the rectangle is 76 feet.
Llana [10]

Answer:8 feet

Step-by-step explanation:

4 0
1 year ago
A car travels 360.25 mi. It uses 13.1 gal of gas. How many miles per gallon of gas does the car travel?
boyakko [2]
B because 360.25- 13.1 = 27.5 miles per gallon
4 0
3 years ago
Read 2 more answers
Find the length of a square when the area is 25cm
jeka94
Square's area= length/width^2

so then to find out the length or width (since they are the same in a square) you do the square root of 25 which is 5 since 5 times 5 is 25

so the square's length is 5cm
8 0
3 years ago
Please help. WIll give brainliest if you explain
Eddi Din [679]
The answer to 2 is <span>√30/5 or 1.09545

First, you multiply the numerator and denominator by </span>√5. 
√6x<span>√5=√30 
</span>√5x<span>√5=5 (when a square root of an expression is multiplied by itself, the result is that expression) Therefore, the answer is </span><span>√30/5 or 1.09545
</span>

5 0
3 years ago
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