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miss Akunina [59]
3 years ago
7

A toy rocket launched straight up from the ground with an initial velocity of 80 ft/s returns to the ground after 5 s. The heigh

t of the rocket t seconds after launch is modeled by the function f(t)=−16t2+80t . What is the maximum height of the rocket, in feet?
Mathematics
2 answers:
eimsori [14]3 years ago
6 0
Maximum is 100
I just took the test, got it right 
mixas84 [53]3 years ago
5 0

Answer:

Maximum height oh the rocket was 100 feet.

Step-by-step explanation:

It has been given in the question that rocket follows the function f(t) = 80t-16t² where t is the time taken by rocket to reach maximum height and coming back to the ground.

Since initial velocity of the rocket is = 80 ft/sec

and total time taken by the rocket to come back to the ground is 5 sec

time taken by the rocket to reach the maximum height = 5/2 = 2.5 sec

Therefore from the given function

Maximum height achieved by the rocket = 80.(2.5) - 16.(2.5)²

= 200 - 100 = 100 ft.

 

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Find the volume and surface area of the earth if its circumference is 40 000 km
inn [45]

Answer:

volume = 3.24× 10 ∧12, SA = 5.09 × 10 ∧8

Step-by-step explanation:

Check attachment

8 0
3 years ago
Suppose you invest 1600 at annual interest rate of 7.9% compounded cont how much will u have after 10yrs
frez [133]

Answer:

B. $3525.43

Step-by-step explanation:  

We will use continuously compound interest formula to solve our problem.

A=P*e^{rT}      

A= Amount after T years.

P= Principal amount.

r= Interest rate (in decimal form).

e= The mathematical constant e.

T= Time in years.

First of all we will convert our interest rate in decimal form.

7.9\text{ Percent}=\frac{7.9}{100}=0.079

Now let us substitute our given values in above formula.

A=1600*e^{0.079*10}

A=1600*e^{0.79}

A=1600*2.2033964262559365

A=3525.4342820094984\approx 3525.43

Therefore, we will get an amount of $3525.43 after 10 years and option B is the correct choice.

8 0
3 years ago
What is the decimal expansion of the fraction 7/9
lys-0071 [83]
0.7777777778
don't you have calculators or internet, you could easily find your question on internet 
6 0
3 years ago
Read 2 more answers
Expand if necessary combine like terms (7+x)(7-x)=
mina [271]

Answer:

49 - x^2

Step-by-step explanation:

(7+x)(7-x)

We know this is the difference of squares

(a-b) (a+b) = a^2 - b^2

7^2 - x^2 = 49-x^2

We can also FOIL

first = 7*7 = 49

Outer: = 7x

Inner: = -7x

Last : -x*x = -x^2

Add them together

49 +7x-7x - x^2

Combine like terms

49-x^2

4 0
3 years ago
If AB= 2x+1 and BC=5x-14 Find AC
zloy xaker [14]
A=(2x+1)/B
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3 years ago
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