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Furkat [3]
3 years ago
6

A tennis ball is rolled off the edge of the roof of a building. Sean times how long it takes the ball to reach the ground and wr

ite the function h(t), that gives the height of the tennis ball in feet where t is the number of seconds since the ball cleared the edge of the roof. h(t)=-16t^2+256
After how many seconds does the tennis ball hit the ground? Show your work.

Mathematics
1 answer:
harkovskaia [24]3 years ago
5 0

Answer:

  4

Step-by-step explanation:

Solving for h(t) = 0, we find ...

  0 = -16t^2 +256

  0 = -t^2 +16 . . . . . . divide by 16

  t^2 = 16 . . . . . . . . . .add t^2

  t = 4 . . . . . . . . . . . . .positive square root

The ball hits the ground after 4 seconds.

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Please awnser thase questions for my prarice test
Vinvika [58]

Answer:

Add 5 for the first one

The 2nd one is 25 and k or 25 thousand.

Step-by-step explanation:

add 5 for the first one because 5 + 5 = 10

9 + 5 = 14 .   and 13 + 5 = 18.

------------------------------------------------------------------

For the 2nd one:  25k means 25 thousand or the Product of 25 and k.

5 0
3 years ago
What is the slope of the line that passes through (2, 12) and (4, 20)?On the graph of the equation 3x + 2y = 18, what is the val
Paha777 [63]

Answer: The slope of the line that passes through (2, 12) and (4, 20) is 4.

The value of the y-intercept is 9.

Step-by-step explanation:

Slope of line passing through (a,b) and (c,d) = \dfrac{d-b}{c-a}

Then, the slope of the line that passes through (2, 12) and (4, 20) = \dfrac{20-12}{4-2}

=\dfrac{8}{2}=4

So, the slope of the line that passes through (2, 12) and (4, 20) is 4.

To find the y-intercept of 3x + 2y = 18, first write in slope intercept form y=mx+c ( where c= y-intercept ).

2y=-3x+18\\\\\Rightarrow\ y=-\dfrac{3}{2}x+9

By comparison,  c= 9

Hence, the value of the y-intercept is 9.

4 0
3 years ago
Please show working out, thanks!
sveticcg [70]
3^2x = 2^3y = x/y = x/y
4 0
3 years ago
two classmates have decided to read all the volumes in a popular series of books. Katie has already read 4 volumes and will cont
scoray [572]
To solve this we can make it into an equation, which looks like this

y = 2x (for Rebecca)
y = x + 10 (for Alice)

The we subtract one equation from the other to solve

0 = x - 10
10 = x
x = 10

Now we replace x in whichever equation and we get 20

So, each girl will read 20 books for them to be at the same book.

Hope this helps, remember that Jesus loves you
5 0
3 years ago
A freezer can be bought on hire purchase by making a desposiy of 15% of the cash price which is $2975 the interest which is 20%
Liono4ka [1.6K]

Answer: See explanation

Step-by-step explanation:

a. The deposit

= 15% × $2975

= 15/100 × $2975

= 0.15 × $2975

= $446.25

b. The hire purchase price

Outstanding balance = $2975 - $446.25 = $2528.75

20% of outstanding balance

= 20% × $2528.75

= 0.2 × $2528.75

= $505.75

Hire purchase price

= $2975 + $505.75

= $3480.75

c. The difference the hire purchase price and cash price

= $3480.75 - $2975

= $505.75

d. The difference as a percentage of the cash price.

= ($505.75 / $2975) × 100

= 0.17 × 100

= 17%

5 0
3 years ago
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