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irina [24]
3 years ago
13

Eyjafjallajökull is a volcano in Iceland. Ina research reuption a projectile is ejected with an initial velcony of 304 feet per

second. The height H, in feet is given the equation H=16t^2 + 304t
Mathematics
1 answer:
Snezhnost [94]3 years ago
7 0

Answer:

t = 9.5 seconds

Step-by-step explanation:

Given that,

The initial velocity of the projectile is 304 ft/s

The height of the projectile is given by :

H=16t^2 + 304t

For maximum height,

Put h' = 0

h'=-32t+304

or

-32t+304=0\\\\t=\dfrac{304}{32}\\\\t=9.5 \ s

So, the time taken to reach the maximum height is 9.5 seconds.

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Use the table to write and solve an equation to find the number of
exis [7]

Answer:

c = 11

Step-by-step explanation:

Given

Cars\ Sold:-: 8; 9; 12; c

Required

What value of c makes the mean = 10

Mean is calculated as

Mean = \frac{\sum x}{n}

In this case;

Mean = 10 and n = 4;

So, we have:

10 = \frac{8+ 9 + 12 + c}{4}

10 = \frac{29+ c}{4}

Multiply both sides by 4

10 * 4 = 29 + c

40 = 29 + c

Solve for c

c = 40 - 29

c = 11

4 0
4 years ago
1.) Use the Pythagorean Theorem to determine if a triangle with side lengths 28ft., 45ft., 53ft. is a right triangle.
Alenkasestr [34]

Answer:

1. Right Triangle

2. Not Right Triangle

3. Not Right Triangle

Step-by-step explanation:

1. 28² + 45² = 2809 --> 53² = 2809

2. 6² + 6² = 72 --> 8² = 64

3. 4² + 10² = 116 --> 12² = 144

8 0
3 years ago
Jennifer went to the post office for stamps. She bought the same number of 8-cent stamps and 10-cent stamps. She also bought as
mamaluj [8]
Write it out as a set of equation:
Let x be number of 8 cent stamps, y be 10 cent stamps, and z be 2 cent stamps.
x=y
z=x+y
8x+10y+2z=440
Lets first solve for x:
from x=y and z=2x(from first equation) the last equation is
8x+10x+4x=440
22x=440
x=20
know that x=20, you also know that y=20 as well, since z=x+y, z=40.
So 20 8-cent stamps, 20 10-cent stamps, and 40 2-cent stamps.
5 0
4 years ago
Read 2 more answers
The Beechcraft 1900D is a commuter airplane with a fuel capacity of 665 gallons. The function that represents how the amount of
nalin [4]

Given:

The  function that represents how the amount of fuel changes as a function of distance flown is

f(x)=-0.9x+665

where x represents miles flown, and f(x) represents the amount of fuel remaining.

To find:

The rate of change for this scenario.

Solution:

The slope intercept form of a linear function is

y=mx+b        ...(i)

Where, m is the slope or rate of change and b is the y-intercept.

We have,

f(x)=-0.9x+665        ...(ii)

On comparing (i) and (ii), we get

m=-0.9

Therefore, the rate of change for this scenario is -0.9. It means, the amount of fuel in the airplane is decreasing by 0.9 gallons per mile.

8 0
3 years ago
Plz help fast will mark the brainiest!!!
tiny-mole [99]
3x10^-6 is the answer
3 0
3 years ago
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