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posledela
3 years ago
8

A flare was launched straight up from the ground with an initial velocity of 176 ft/s and returned to the ground after 11 s. The

height of the flare t seconds after launch is modeled by the function f(t)=−16t2+176t . What is the maximum height of the flare, in feet?
Mathematics
2 answers:
Rufina [12.5K]3 years ago
8 0
The answer is 484 just took the test 
photoshop1234 [79]3 years ago
5 0

Answer:

484 feet is the answer.

Step-by-step explanation:

Maximum value  of f(t) = -16t^{2}+176t \\

is given by when t =  \frac{-176}{2(-16)}  \\

which give t = 5.5 seconds

maximum height is when we plug t = 5.5 seconds in equation

more over time of flight is 11 seconds (given )

it will be at its maximum when time is  half of 11 seconds.

that is 5.5 seconds

maximum height is obtained by plugging t = 5.5seconds.

f(5.5) = -16(5.5)(5.5) + 176(5.5)

       = -484 +968

       = 484  feet

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KatRina [158]

Answer: 1.25 square feet

This converts to the improper fraction 5/4

===========================================================

Explanation:

The area of the triangle on the left is base*height/2 = 0.5*2/2 = 0.5 square feet. Note that 1/2 = 0.5

The area of the triangle on the right side is base*height/2 = 0.2*3/2 = 0.75 square feet. This converts to the fraction 3/4

Add up the two results: 0.5+0.75 = 1.25 square feet

-----------

If you need the answer as an improper fraction, then,

1.25 = 1 + 0.25

1.25 = 1 + 1/4

1.25 = 4/4 + 1/4

1.25 = (4+1)/4

1.25 = 5/4

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The area of the entire figure below is 111 square unit.
Ivahew [28]

The striped rectangle has a total area of 69,375 cm².

<h3>How to calculate the area of the striped rectangle?</h3>

To find the area of the striped rectangle we must carry out the following procedures.

Find the area of each segment of the rectangle, that is, what is the area of each of the 24 squares that make up the rectangle, for that we divide the 111cm² of the total area into 24.

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According to the above, we infer that each square has an area of 4.625cm².

On the other hand, to find the area of the striped rectangle we must take into account that it is 5 squares long by 3 squares high, that is, its area is 15 squares.

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Finally, each square has an area of 4.625cm², so to find the total area of the striped area we must multiply the area of each square by the number of squares.

15 × 4.625cm² = 69.375cm²

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2 years ago
M is the midpoint of line segment CD. The coordinates M(-1,1) and C(1,-3) are given. Find the coordinates of point D.
dexar [7]

Answer:

All you have to do is use the formula for coordinates of a midpoint of a line segment. If the segment's ends are  

A

=

(

x

A

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y

A

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and  

B

=

(

x

B

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, then the midpoint has coordinates:

Step-by-step explanation:

8 0
3 years ago
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mart [117]

Answer: \sum_{n=1}^{5}4^n=1364

Step-by-step explanation:

Since we have given that

\sum_{n=1}^{5}4^n

Now, we know the rule for summation , we'll apply this ,

\sum_{n=1}^{5}4^n\\=4^1+4^2+4^3+4^4+4^5\\

Now, it becomes geometric progression, so we us the formula for sum of terms in g.p. which is given by

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Hence ,

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