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Galina-37 [17]
3 years ago
6

A projectile is fired upward from the ground with an initial velocity of 300 feet per second. Neglecting air resistance, the hei

ght of the projectile at any time t can be described by the polynomial function P(t) = ­16t 2 + 300t
Mathematics
1 answer:
levacccp [35]3 years ago
8 0

Answer: The polynomial that describes the projectile's height is:

P(t) = - ­16t*2 + 300t

For t = 1 second we have:

P(1) = - 16*1^2 + 300*1

P(1) = 284 ft

The height of the projectile after 1 second is 284 feet.

Step-by-step explanation:

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One Solution<br>no solution <br>infinitely many solutions<br>3x + 9 + 4x + x =<br>_x+_​
ss7ja [257]
All you need to do it combine like terms.

3x + 9 + 4x + x

(3x + 4x + x) + 9

8x + 9

i hope this was helpful for you!
8 0
3 years ago
Select the correct answer from each drop-down menu. y = x2 + 2x − 1 y − 3x = 5 The pair of points representing the solution set
katen-ka-za [31]

ANSWER

(-2,-1)

(3,14)

EXPLANATION

The given system is

y =  {x}^{2}  + 2x - 1

y - 3x = 5

or

y = 3x + 5

Equate both of them:

{x}^{2}  + 2x - 1 = 3x + 5

This implies that,

{x}^{2}   - x - 6 = 0

(x - 3)(x + 2) = 0

x=-2 or x=3

When x=-2, y=y=3(-2)+5=-1

(-2,-1) is a solution.

When x=3 , y=3(3)+5=14

(3,14) is also a solution.

7 0
3 years ago
The useful life of a radial tire is normally distributed with a mean of 30,000 miles and a standard deviation of 5000 miles. The
otez555 [7]

Answer:

  empirical rule: 81.5%

  table or calculator: 81.9%

Step-by-step explanation:

The lower limit of the life range of interest has a z-score of ...

  z = (x -μ)/σ = (20,000 -30,000)/5,000 = -2

The upper limit has a z-score of ...

  z = (35,000 -30,000)/5,000 = 1

<u>Empirical rule solution</u>

The empirical rule tells you that 95% of the distribution lies within 2 standard deviations of the mean, so (100% -95%)/2 = 2.5% lie below z = -2. It also tells you 68% lie within 1 standard deviation of the mean, so (100% -68%)/2 = 16% lie above z = 1.

The fraction that lies within -2 to 1 standard deviations of the means is thus ...

  (100% -2.5% -16%) = 81.5%

The probability the tire has a life in the desired range is about 81.5%.

__

<u>Calculator solution</u>

A probability calculator for the Normal distribution tells you that ...

  P(-2 < z < 1) ≈ 0.8185946

The probability the tire has a life in the desired range is about 81.9%.

6 0
3 years ago
Which of the following equations has a slope of -2 and passes through the point (3,-4)?
Mashutka [201]

Answer:

B

Step-by-step explanation:

y=-2x+2

y=mx+b

m is slope so.here m is -2

y=-2+10.passes through the point (3,-4)

because -4=-2*3+2

-4=-6+2

-4=-4

6 0
3 years ago
Can someone please help me, I don’t understand this
Nady [450]

Answer:

To find the circumference

diameter x 3.14 = circumference

We can undo the multiplication and divide to get the diameter

37.68 /3.14 = 12

diameter / 2= radius

12 / 2 = 6

the radius is 6

radius x radius x pi = area

6 x 6 x 3.14 = 113.04

113.04 is the answer

Hope this helps

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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