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yaroslaw [1]
3 years ago
13

The altitude of an object, d, can be modeled using the equation below. d=-16t^2+vh+h.where v is the initial velocity and h is th

e initial height.A catapult launches a stone with an initial velocity of 48 feet per second and an initial height of 0 feet. How long will the stone be in flight?
Mathematics
1 answer:
finlep [7]3 years ago
6 0

Answer:

The stone will be in flight for 3 seconds

Step-by-step explanation:

Given the equation;

d = -16t^2 + vt + h

Where;

v = the initial velocity

h = the initial height

Given;

v = 48 ft/s

h = 0

Substituting into function d;

d = -16t^2 + 48t + 0

d = -16t^2 + 48t

At the point of launch and the point of landing d = 0.

We need to calculate the values of t for d to be equal to zero.

d = -16t^2 + 48t = 0

-16t^2 + 48t = 0

Factorising, we have;

16(-t+3)t = 0

So,

t = 0 or -t+3 = 0

t= 0 or t =3

Change in t is;

∆t = t2 - t1 = 3 - 0

∆t = 3 seconds.

The stone will be in flight for 3 seconds.

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An investigator reviewed the medical records of 200 children seen for care at Boston Medical Center in the past year who were be
lisov135 [29]

Answer:

cohort study

Step-by-step explanation:

Given that an  investigator reviewed the medical records of 200 children seen for care at Boston Medical Center in the past year who were between the ages 8 and 12 and identified 40 children with asthma. He also identified 40 children of the same ages who were free of asthma. Each child and their family were interviewed to assess whether there might be an association between certain environmental factors such as exposure to second-hand smoke.

The objective of this experiment is to test the causes of the disease asthma and to find the risk factors and environment causing this disease.

So this cannot come under randomized control nor case control.

Cross over study is to put to two different environments two groups and study.  But here nothing is influenced actual environments are studied

Hence this comes under cohort study

3 0
3 years ago
Rectangle ABCD is similar to rectangle WXYZ. If the area of rectangle ABCD is 70 square inches, AD is 10 inches, and XY is 5 inc
rodikova [14]

Answer: The area of rectangle WXYZ is 18 square inches

Step-by-step explanation: Since both rectangles are similar, then lines AD and BC has a common ratio with lines WZ and XY. If line line AD is 10 inches, and line XY is 5 inches, then the ratio of similarity is given as

Ratio = 10/5

Ratio = 2/1 (or 2:1)

However rectangle ABCD has its area as 70 square inches, which means the other side is given as

Area = L x W

70 = 10 x W

70/10 = W

7 = W

Therefore the width of the other rectangle is determined as,

10/5 = 7/W

10W = 5 x 7

10W = 35

Divide both sides of the equation by 10

W = 3.5

Having calculated the width of the other rectangle as 3.5, the area is now determined as

Area = L x W

Area = 5 x 3

Area = 17.5

Rounded off to the nearest integer, the area equals 18 square inches

8 0
3 years ago
What is the simplified form of the following expression?
Igoryamba

Answer:

169 is the answer.

Step-by-step explanation:

I used a calculator.

7 0
3 years ago
Tony wants to purchase a baseball glove for $14.96, a baseball bat for $19.87, and a baseball for $5.37. He figured out that he
eimsori [14]

To solve this, first we calculate all the total cost of the items that is:

total cost = $14.96 + $19.87 + $5.37

total cost = $40.20

 

So we see that the actual cost is similar with the estimate so his calculation is reasonable.

7 0
3 years ago
6,528 divided by 8 and also 6,349 divided by 9
mote1985 [20]

Answer:

6,528 divided by 8 is 816

6528/8 = 816

6348 divide by 9 is 705.44..... ♾️

7 0
3 years ago
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