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vova2212 [387]
3 years ago
15

The height h, in feet of a model rocket t seconds after launch is given

Mathematics
1 answer:
Illusion [34]3 years ago
7 0

Answer:

h_max = 324.09 ft

Step-by-step explanation:

The correct equation is;

h = 245t - 16t²

We are told that as the rocket descends, it deploys

a recovery parachute when it reaches 325 feet above the ground.

Thus;

245t - 16t² = 325

Thus;

16t² - 245t + 325 = 0

Using quadratic formula, we have the roots as;

t = 1.47s or 13.85s

We will pick the higher value.

Thus;

Maximum height will occur at t = 13.85 s

Thus, plugging in 13.85 for t into h = 245t - 16t², we have;

h_max = 245(13.85) - 16(13.85)²

h_max = 324.09 ft

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This is a problem that I have to solve with matrixes, Please show me all of the work. I will award brainliest.
Elina [12.6K]

Answer:

The total points by Washington High School =  162 points

The total points by  Johnson High School   =  159 points

The total points by  Roosevelt High School =  108 points

The total points by  Lewis High School =  196 points

Washington High School  has WON the meet.

Johnson High School came second.

The difference in the points= 2 points

Step-by-step explanation:

Points awarded for first place = 10 points

Points awarded for second place = 8 points

Points awarded for third place = 7 points

About Washington High School

10 first places  = 10 x ( 10) = 100 points

6 second places  = 6 x ( 8) = 48 points

2 first places  = 2 x ( 7) = 14 points

So, the total points by  Washington High School  = Sum of all points  

=  100 + 48 + 14   =  162 points     .............. (1)

About Johnson High School

8 first places  = 8 x ( 10) = 80 points

9 second places  = 9 x ( 8) = 72 points

1 first places  = 1 x ( 7) = 7 points

So, the total points by  Johnson High School  = Sum of all points  

=  80 + 72 + 7   =  159 points    .............. (2)

About Roosevelt High School

4 first places  = 4 x ( 10) = 40 points

5 second places  = 5 x ( 8) = 40 points

4 first places  = 4 x ( 7) = 28 points

So, the total points by  Roosevelt High School  = Sum of all points  

=  40 + 40 + 28   =  108 points  .............. (3)

About Lewis High School

3 first places  = 3 x ( 10) = 30 points

3 second places  = 3 x ( 8) = 24 points

6 first places  = 6 x ( 7) = 42 points

So, the total points by  Lewis High School  = Sum of all points  

=  30 + 42 + 24   =  96 points      .............. (4)

Now, comparing all four equation, we get that:

Washington High School  has WON the meet.

Johnson High School came second.

The difference in the points  = 162 - 159 = 2 points

6 0
3 years ago
I need help getting the answer for the 1st question
Karo-lina-s [1.5K]
If we have two similar triangles:
Triangle 1 (base 1 , height1).
Triangle 2 (base 2, height 2)
Then:

base 1 /height 1=base 2 /height 2

Data:
base 1=0.2 m
height 1= 1 m
base 2= 8 m
height 2=x

We calculate the height of the tower:
base 1 /height 1=base 2 /height 2
0.2 m / 1m=8 m / x
x=(8 m * 1 m) / 0.2 m
x=8 m²/0.2 m
x=40 m

Answer. the heigth of the tower will 40 m

3 0
3 years ago
If you borrow $894 for four years at an interest rate of 3%, how much interest will you pay?
Studentka2010 [4]

Answer:

$1006.20

Step-by-step explanation:

This is an example of compound interest.

To work this out you would first have to convert the percentage into a decimal, you can do this by dividing 3 by 100, which gives you 0.03. You are dividing by 100 as percentages are out of 100. Then you would add 1 to 0.03, which gives you 1.03. This is because you are finding percentage increases. Then you would multiply 894 by 1.03 to the power of 4, which gives you 1006.20. This is because you are finding 3 percent and adding it on and then finding 3 percent of that, this is why we put it to the power of how much time.

1) Divide 3 by 100.

3/100=0.03

2) Add 1 to 0.03.

0.03+1=1.03

3) Multiply 894 by 1.03 to the power of 4.

894*1.03^{4}=1006.20

3 0
3 years ago
Which best describes the error in finding the percent increase from 18 to 26?
mrs_skeptik [129]

Answer:

Step-by-step explanation:

The denominator should be the initial value of 18.

8 0
2 years ago
Which of the following best describes the relationship between (x+2) and the polynomial 3x^2-x-14
Flauer [41]
One is a linear and the other is a quadratic polynomial.
And (x+2) is indeed a factor.

You can rewrite it as (x+2)(3x-7)
8 0
2 years ago
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