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Fiesta28 [93]
2 years ago
15

A volleyball player sets the ball in the air, and the height of the ball after t seconds is given in feet by h= -16^2+12t+6. A t

eammate wants to wait until the ball is 8 feet in the air before she spikes it. When should the teammate spike the ball? How many reasonable solutions to this problem are there?

Mathematics
1 answer:
pychu [463]2 years ago
8 0

Answer:

Step-by-step explanation:

The given function is

h=-16t^2+12t+6

The graph of this function is a parabola that opens downwards

The line h(t)=8 intersects this parabola, when

t=0.5,t=0.25

The teammate can spike the ball after 0.25 seconds or 0.5 seconds.

The two solutions are reasonable. When the volleyball is accelerating into the air, it passes a height of 8 after 0.25 seconds.

When the ball is dropping after it attains maximum height, it attains another height of 8 after 0.5 seconds again.

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A rectangular parking lot has a perimeter of 232 feet. The length of the parking lot is 36 feet less than with. Find the length
Ainat [17]

Answer:

Length: 80 feet

Width: 36 feet

Step-by-step explanation:

232/2 = 116

116-36 = 80

(i.e. 80+80+36+36=232)

7 0
2 years ago
The pilot in a helicopter tossed a life float down to a swimmer in the water. The height, h, of the float after time t seconds i
MissTica

Answer:

1.95secs

Step-by-step explanation:

Given the height of the float expressed as h(t) = -16t2 - 3t + 55.

The floats reach the swimmer at h(t) = 0

Substitute

0 = -16t^2 - 3t + 55.

16t^2 + 3t - 55 = 0

Using the general formula;

t = -3±√3²-4(16)(-55)/2(16)

t = 3±√9+3520/32

t = 3±√3529/32

t = 3+59.41/32

t = 62.41/32

t = 1.95

Hence it will take 1.95secs

4 0
1 year ago
The equation y = 1.55x + 110,419 approximates the total cost, in dollars, of raising a child in the united states from birth to
Andru [333]

Answer:

The correct option is A). $112295.05

Step-by-step explanation:

The equation for approximating the total cost is given to be :

y = 1.55x + 110419 , where x is the annual household's income and y is the total cost in dollars of raising a child in the united states from birth to 17 years

We need to calculate the total cost of raising a child in the united states from birth to 17 years if the annual household's income is given to be $1211

So, for this we will use the given equation and substitute x = 1211 and find the value of y which will be our total cost

⇒ Total cost , y = 1.55 × 1211 + 110419

⇒ y = 1877.05 + 110419

⇒ y = 112296.05 ≈ 112295.05

Hence, The approximate total cost of raising a child from birth to 17 years in a household with a weekly income of $1211 = $112295.05

Therefore, The correct option is A). $112295.05

8 0
1 year ago
point M with coordinates (3,4) is the midpoint of the line AB and A has the point (-1,6). what is the point of B?
irina [24]

Answer:

  B = (7, 2)

Step-by-step explanation:

B = 2M -A

B = 2(3, 4) -(-1, 6) = (2·3-(-1), 2·4-6)

B = (7, 2)

_____

The expression for the other end point, B, comes from the equation for the midpoint.

  M = (A +B)/2

  2M = A + B . . . . . multiply by 2

  2M -A = B . . . . . . subtract A to get an expression for B

4 0
2 years ago
Omar has a gift card for $25 at a clothing store. He wants to buy socks that costs $4 per pair. He also has a coupon for $5 off
bezimeni [28]

Answer:

p= 7 socks

Step-by-step explanation:

gift card:$25

socks:$4

p = 7

4 0
1 year ago
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