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dybincka [34]
1 year ago
8

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

s represented by the equation h(t) = -16t2 - 3t + 55. Find the time it takes the float to reach the swimmer.​
Mathematics
1 answer:
MissTica1 year ago
4 0

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

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Using everyday knowledge, indicate whether the if-then statements are correct forward-only or both forward and reverse.
Svet_ta [14]

Answer:

1. Both forward and backward

2. Only forward

Step-by-step explanation:

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The reason Statement 2 can be only forward is because is the sprinklers are on then the grass is wet will work since it is saying ONLY the sprinklers are on. If it is reverse and the grass is wet if the sprinklers are ONLY on than that is false since if it rains than the grass can also be wet. So there are multiple ways that the grass can be wet hence the answers.

4 0
2 years ago
Brandon is filling a flower bed with soil. The flower bed is shaped like a rectangular prism and measures 15 feet long and 3 fee
zloy xaker [14]

Answer:

9 meters

Step-by-step explanation:

I don't know step by step if jts wrong tell me.

8 0
2 years ago
A candy store is building a display with two rectangular prism.The base of each prism is a square with an edge length of 5 inche
nordsb [41]
The volume of the display is 900 cubic inches.  

The formula for the volume of a prism is L x W x H. 

In the small shape, we have:  5 x 5 x 12 = 300
In the large shape, we have:  5 x 5 x 24 = 600

Add them together and we have 900 cubic inches.
8 0
2 years ago
Maria has a cube-shaped box that measures 9 inches along each edge. Can she fit 1,000 1-cubic-inch cubes inside the box?
morpeh [17]

Answer:

No

Step-by-step explanation:

She would be able to fit 729 cubes but not 1000.

3 0
2 years ago
There are 5 Snickers, 10 Baby Ruths, 13 Milky Ways, 12 Twixs and17 Almond Joys in a bowl of candy. You reach into the bowl and r
agasfer [191]

Answer: 0.2415

Step-by-step explanation:

Given : There are 5 Snickers, 10 Baby Ruths, 13 Milky Ways, 12 Twixs and17 Almond Joys in a bowl of candy.

Total candy bars : 5+10+13+12+17=57

Probability of getting a Milky Way bar=p=\dfrac{\text{No. of Milky bars}}{\text{Total candy bars}}

\Rightarrrow\ p=\dfrac{13}{57}\approx0.23

Using Binomial distribution , the probability of getting success in x trials is given by:-

P(x)=^nC_xp^x(1-p)^{n-x}, where p uis probability of success in each trial and n is sample size.

If you randomly select n= 5 candy bars, then the probability you select exactly 2 Milky Way bars Will be :_

P(2)=^5C_2(0.23)^2(1-0.23)^{3}\\\\=\dfrac{5!}{2!(5-2)!}(0.23)^2(0.77)^3\\\\=0.241505957\approx0.2415

Hence, the probability you select exactly 2 Milky Way bars = 0.2415

8 0
2 years ago
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