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photoshop1234 [79]
3 years ago
9

A catapult launches a boulder with an upward velocity of 120 ft/s. The height of the boulder, h, in feet after t seconds is give

n by the function h = -16t^2 + 120t + 10. How long does it take to reach maximum height? What is the boulder's maximum height? What is the boulder's maximum height? Round to the nearest hundredth, if necessary.
Mathematics
2 answers:
Eduardwww [97]3 years ago
6 0

Answer:

See below in bold.

Step-by-step explanation:

h = -16t^2 + 120t + 10

To find the  height and time for maximum we convert to vertex form:

h = -16(t^2 - 7.5t) + 10

h = -16 [(t - 3.75)^2 - 14.0625] + 10

h = -16(t - 3.75)^2 + 225 + 10

h = -16(t - 3.75)^2 + 235

So the time to reach maximum height is 3.75 seconds and the maximum height = 235 ft.

Mila [183]3 years ago
3 0
Why is understanding mitts important?( Select the best answer)

1.It helps us understand how organisms repair.

2. It helps us understand how organisms grow.

3. It is important for cancer research.

4. All options correct.
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Which graph represents the inequality y>1-3x
slava [35]

Answer:

b............ .......... which one is a b c d

For this case we must indicate the graph of the following inequality:

y≥1−3x

It is observed that inequality includes equality, so the boundary line of the graph will not be dotted, so we discard options D and C.

We test option A, we substitute the point (0,0) in the inequality, if it is fulfilled then the graph corresponds to it.

We test option A, we substitute the point (0,0) in the inequality, if it is fulfilled then the graph corresponds to it.

It is not fulfilled

We test the last option B, we choose the point (3,1) that belongs to the graph:

1≥1−3(3)

\1≥1−9

1≥−8

it is fulfilled

5 0
2 years ago
80% of 60 is 1/5 of what number?
Oksi-84 [34.3K]

Well, if 80% of 60 is 48, and 48x5 is 240, 80% of 60 is 240.

Answer: 240

Hope this helps! Xo


7 0
3 years ago
Karla has spent $42 on food. She bought milk, cheese, and meat. The milk cost half as much as the cheese and the meat cost four
Alina [70]

M = milk

C= cheese

X=meat

milk = 0.5c

meat = 4c

cheese = 1c

<span>4 +0.5 = 1c  = 5.5c</span>

 

C= 42/5.5 = 7.64

X = 7.64 x 4 = 30.56

M =7.64 * 0.5 = 4.67

 

30.56 + 3.82 + 7.64 = approximately $42



4 0
3 years ago
In 2000, people charged 1,243 billion on the four most used types of credit cards. In 2005, people charged 1,838 billion on thes
baherus [9]
Alright, so the rate of change is the same thing as the slope, so we can find this by using the slope formula (which I took a picture of because it's super messy to type it out like this)

Now that we know the slope formula, we need to find the x values and the y values to plug into the equation. We'll say that the years are our x values and the money spent (in billions) are our y values. Now that we've set up an axis, we can create points! Our points would be (2000, 1243) and (2005, 1838)

Now we can plug our points into our equations! On the top of our equation, we'll put (1838-1243), and on the bottom we'll put (2005-2000). When we simplify that, we end up with 595/5, which simplifies to 119. Now we know that the rate of change for the credit cards was 119 billion!

4 0
3 years ago
Select all that apply. Select the formulas that give the amount P in the account after the first period.
Lisa [10]

Options :

a.) P=1.005Po

b.) P=1.02Po

c.) P=Po(0.02/4)

d.) P=Po(4.02/4)

e.) P=Po(1+ 0.02/4)

Answer:

a.) P=1.005Po

d.) e.) P=Po(1+ 0.02/4)

Step-by-step explanation:

From the compound interest formula:

P = P0(1 + r/n)^t

Rate = 2% = 2/100 = 0.02

n = Number of compounding times per period, quarterly ; n = (12 /3) months

P = P0(1 + 0.02/4)^1

P = p0(1 + 0.02/4)

Simplifying further :

P = P0(1 + 0.005)

P = p0(1.005)

4 0
2 years ago
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