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In-s [12.5K]
3 years ago
9

A pilot of a helicopter plans to release a bucket of water on a forest fire. The height y in feet of water t seconds after its r

elease is modeled by y=−16t2−2t+400
. How long will it take for the water to reach the ground? round to the nearest decimal.
Mathematics
1 answer:
frosja888 [35]3 years ago
4 0
You’re gonna have to use the quadratic formula here and a bit of thinking. We know y is height, and once it touches the ground, it will be 0.

(-b +- sqrt b^2 - 4ac)/2a
2 +- sqrt(4 + 48(400))/-32
(2 +- 138.58)/-32
We don’t want a negative time because it’ll make no sense. So do subtraction

(2-138.58)/-32 = 4.27 seconds aka 4.3 seconds
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American Vending (AV) supplies vended food to a large university. Because students often kick the machines out of anger and frus
aev [14]

Answer:

case 2 with two workers is the optimal decision.

Step-by-step explanation:

Case 1—One worker:A= 3/hour Poisson, ¡x =5/hour exponential The average number of machines in the system isL = - 3. = 4 = lJr machines' ix-A 5 - 3 2 2Downtime cost is $25 X 1.5 = $37.50 per hour; repair cost is $4.00 per hour; and total cost per hour for 1worker is $37.50 + $4.00

= $41.50.Downtime (1.5 X $25) = $37.50 Labor (1 worker X $4) = 4.00

$41.50

Case 2—Two workers: K = 3, pl= 7L= r= = 0.75 machine1 p. -A 7 - 3Downtime (0.75 X $25) = S J 8.75Labor (2 workers X S4.00) = 8.00S26.75Case III—Three workers:A= 3, p= 8L= ——r = 5- ^= § = 0.60 machinepi -A 8 - 3 5Downtime (0.60 X $25) = $15.00 Labor (3 workers X $4) = 12.00 $27.00

Comparing the costs for one, two, three workers, we see that case 2 with two workers is the optimal decision.

3 0
2 years ago
Natalie is cutting construction paper into rectangles for a project. She needs to cut one rectangle that is 6 inches x 13 1/2 in
Leya [2.2K]

Answer:

1. 81

2. 108 1/2

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Step-by-step explanation:

7 0
3 years ago
4m-2(3+5m) in standard form
NNADVOKAT [17]
Simplified: -6m-6
Factored: 6(m+1)
3 0
2 years ago
Solve by taking the square root of both sides 3(x-1)^2-162=0
Natali5045456 [20]
We know that: <span>3(x-1)^2-162=0
or (x-1)</span>²= 162:3
and (x-1)²= 54
we <span>take the square root of both sides 
* x-1=</span>√54= 3√6 or x=1+3√6
* x-1= -<span>√54= -3√6 or x=1-3√6
This equation has 2 solutions</span>
7 0
3 years ago
Read 2 more answers
Please help, i’ll mark brainliest.
nalin [4]

Answer:

264 cu

Step-by-step explanation:

This is because you have to add it from all sides, the first prism is 144 cu and then the second one is, 120, and when you add both of those together you get 264

<u><em>Thus the answer is....264</em></u>

5 0
2 years ago
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