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kumpel [21]
3 years ago
7

An object is dropped from a bridge and allowed to freefall to the ground. The height of the object over time can be modeled usin

g h(t) = 144 – 16t2.
How many seconds will it take the object to reach the ground?
Mathematics
1 answer:
quester [9]3 years ago
3 0

Answer: <u><em>*For 2 being an exponent*</em></u>: 3 seconds

<em><u>*For 2 being multiplied to t* </u></em>: 4.5 seconds

Step-by-step explanation:

<u><em>*For 2 being an exponent*</em></u>

It says we want to know the time it will take to reach the ground. This means that the height will be 0 at this time.

So we can set h(t) = 0 and solve for t.

0 = 144 - 16t^2

Subtract 144: -144 = -16t^2

Divide -16: 9 = t^2

Now square root: 3 = t

So it will take 3 seconds to reach the ground.

<em><u /></em>

<em><u>*For 2 being multiplied to t*</u></em>

It says we want to know the time it will take to reach the ground. This means that the height will be 0 at this time.

So we can set h(t) = 0 and solve for t.

0 = 144 - 16t2

We can simplify by multiplying the -16 and 2: 0 = 144 - 32t

Subtract 144: -144 = -32t\\

Divide by -32: 4.5 = t

So it will take 4.5 seconds to reach the ground.

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Peter drives his van a distance of 54 km. He leaves the depot at 10:55 and arrives back at 12:38. Calculate his average speed
OLga [1]

Answer:

31.46 km/hr to the nearest 100th

Step-by-step explanation:

10:55 to 11:00 is 5 min

11:00 to 12:00 is 60 min

12:00 to 12:38 is 38 min

That's 5 + 60 + 38 = 103 min = 103/60 hr. = t

d = rt

54 = 103/60(r)

r = 54(60)/103 =31.46 km/hr to the nearest 100th

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3 years ago
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A rectangular box with a square base contains 24 cubic feet. if the height of the box is 18 inches, how many feet are there in e
Romashka-Z-Leto [24]

Answer:

4

Step-by-step explanation:

V = Lwh

the volume (given) = 24 ft^3

the height (given) = 18" = 1.5'

24 = L*w*1.5

divide both sides by 1.5

16 = Lw

You need to find the number of feet in each side of the base

since the box has a square base

L = W

AND, found above, L*w = 16

so 4*4= 16

Answer - 4

3 0
3 years ago
The sum of two numbers is 840. one of the numbers is 357. what is the other number?​
nlexa [21]

Answer:

483

Step-by-step explanation:

840 minus 357 is 483

5 0
3 years ago
2.5% of a population are infected with a certain disease. There is a test for the disease, however the test is not completely ac
Aleks04 [339]

Answer:

P(disease/positivetest) = 0.36116

Step-by-step explanation:

This is a conditional probability exercise.

Let's name the events :

I : ''A person is infected''

NI : ''A person is not infected''

PT : ''The test is positive''

NT : ''The test is negative''

The conditional probability equation is :

Given two events A and B :

P(A/B) = P(A ∩ B) / P(B)

P(B) >0

P(A/B) is the probability of the event A given that the event B happened

P(A ∩ B) is the probability of the event (A ∩ B)

(A ∩ B) is the event where A and B happened at the same time

In the exercise :

P(I)=0.025

P(NI)= 1-P(I)=1-0.025=0.975\\P(NI)=0.975

P(PT/I)=0.904\\P(PT/NI)=0.041

We are looking for P(I/PT) :

P(I/PT)=P(I∩ PT)/ P(PT)

P(PT/I)=0.904

P(PT/I)=P(PT∩ I)/P(I)

0.904=P(PT∩ I)/0.025

P(PT∩ I)=0.904 x 0.025

P(PT∩ I) = 0.0226

P(PT/NI)=0.041

P(PT/NI)=P(PT∩ NI)/P(NI)

0.041=P(PT∩ NI)/0.975

P(PT∩ NI) = 0.041 x 0.975

P(PT∩ NI) = 0.039975

P(PT) = P(PT∩ I)+P(PT∩ NI)

P(PT)= 0.0226 + 0.039975

P(PT) = 0.062575

P(I/PT) = P(PT∩I)/P(PT)

P(I/PT)=\frac{0.0226}{0.062575} \\P(I/PT)=0.36116

8 0
3 years ago
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