A toy rocket is shot vertically into the air from a launching pad 5 feel above the ground with an initial velocity of 80 feet per second. The height h, in feet, of the rocket above the ground as t seconds after launch is given by the function h(t)=-16t^2+80t+5. How long will it take the rocket to reach its maximum height? What is the maximum height?CAN ANYONE HELP ME ASAP!!!!
Thank you in advance

Answers

Answer 1

Answer: $h(t)=-16t^2+80t+5\n\nt_(max)-time\ for\ a\ maximum\ height\n\nt_(max)=- (80)/(2\cdot(-16)) = (80)/(32) =2.5\ [s]\n\nh_(max)-the\ maximum\ height\ above\ the\ ground\n\nh_(max)=h(2.5)=-16\cdot2.5^2+80\cdot2.5+5=-16\cdot6.25+200+5=\n.\ \ \ \ \ \ =-100+205=105\n\nh_(max\ rocket)-the\ maximum\ height\ of\ a\ toy\ rocket\n\nh_(max\ rocket)=105-5=100\ [ft]\n\nAns.\ t_(max)=2.5\ second,\ \ h_(max\ rocket)=100\ feet.$

Answer 2

Answer:

For this case we have the following function:

To find the time when it reaches its maximum height, what we must do is to derive the function.

We have then:

We set zero and clear the time:

Then, we evaluate the time obtained for the function of the height.

We have then:

Answer:

It will take the rocket to reach its maximum height:

the maximum height is:

$h (2.5) = 105 feet$

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Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth. x^2 + 3 = -4x

A. 1,3
B. -1,-3
C. 1,-3
D. -1, 3

Answers

Hello,

x²+4x+3=0
x=(-4-2)/2=-3 or x=(-4+2)/2=-1

Answer B (-1,-3)

Find the range for the measure of the third side of a triangle given the measures of two sides.18 ft and 23 ft

Answers

The range for the measure of the third side of the triangle is (5, 38).

What is a triangle?

A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.

The sum of the angles of a triangle is always 180°

Given that,

Two sides of the triangle are 18 ft and 23 ft.

Let the third side of the triangle is x cm.

Since, the third side is greater than the difference of the remaining sides and less than the sum of the two sides.

Implies that,

23 - 18 < x < 23 + 18

5 < x < 38

The range of the third side varies from (5, 38).

To know more about Triangle on:

brainly.com/question/2773823

#SPJ2

Answer:

5<x<41

Step-by-step explanation:

You have $6,500 to deposit. If you deposit the money in a savings account at your local bank, you will earn 1.45% annual interest and will be able to make ATM withdrawals at your bank's ATMs. If you deposit the money in an online savings account, you will earn 2.25% interest, but you will be charged $4 every time you make an ATM withdrawal. Assuming that your ATM withdrawals do not reduce the amount of interest you earn, how many ATM withdrawals must you make in a year for the local savings account to be a better deal than the online savings account?a.
5
b.
12
c.
14
d.
10

Answers

The amount earned from the local account must be greater than that of the online account.
Amount from local account = 6,500(1.0145)ⁿ
Amount from online account = 6,500(1.0225)ⁿ - 4x
Where n is the number of years and x is the number of ATM withdrawals.

6,500(1.0145)ⁿ > 6,500(1.0225)ⁿ - 4x
4x > 6,500[(1.0225)ⁿ - (1.0145)ⁿ]; n = 1
x > 13
The number of withdrawals must exceed 13.

The answer is C.

Answer:

C. 14

Step-by-step explanation:

I just answered it correct

Calculate the distance between the points A= (3, -9) and C= (8, -4) in the coordinate plane round your answer to the nearest hundredth

Answers

Answer:

(6,12)

Step-by-step explanation:

Use the mid point formula to find the answer. Add the first x value to the second and divide by two for your x midpoint, then add the first y value to the second y value and divide by two for your y midpoint.

Compared to its parent function the transformation of the following : y= -3x - 3 + 4a) reflected respect to x-axis, stretched vertically, moved 3 to the left and 4 up

b) stretched horizontally, moved 3 to the right and 4 up

c) reflected with respect to x-axis, stretched vertically, moved 3 to the right and 4 up

d) stretched horizontally, moved 3 to the left and 4 down

Answers

The answer is B
Hope it helps!!

Find the probability that the number is in set A’ giving your answer as a decimal

Answers

Answer:

0.7

Step-by-step explanation:

The probability that the number is in set A’ is the probability that a number is not in set A.

From the venn diagram attached below, they are two sets, set A and set B. Set A has 3 elements {15, 12 18}, Set B has 5 elements {12 18 10 14 16}.

The total number of elements in the universal set is 10 i.e {10 11 12 13 14 15 16 17 18 19}

therefore the number of elements in set A' is 7, i.e {10 11 13 14 16 17 19}.

the probability that the number is in set A’ = number of elements in set A'/number of elements in the universal set

probability that the number is in set A’ = 7 / 10 = 0.7

Answer:

0.7

Step-by-step explanation:

count them up and decide by how many there are then simplify

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