A ball is projected upward from ground level. After t seconds, it’s height in feet is a function defined by f (t) = -16t^2 + 96t. In how many seconds will the rocket be at a height of 128 ft above the ground?

Answers

Answer 1

Answer:

t = 2 s and t = 4 s

Step-by-step explanation:

A ball is projected upward from ground level. After t seconds, it’s height in feet is a function defined by,

[tex]f (t) = -16t^2 + 96t[/tex]

We need to find in how many seconds will the rocket be at a height of 128 ft above the ground.

It means,

[tex]128= -16t^2 + 96t\\\\-16t^2+96t-128=0\\\\16(-t^2+6t-8)=0\\\\(-t^2+6t-8)=0\\\\-t^2+4t+2t-8=0\\\\t(-t+4)-2(-t+4)=0\\\\(t-2)=0\ and\ (-t+4)=0\\\\t=2\ and\ t=4[/tex]

So, it will be at a height of 128 feet at 2 second and 4 second.


Related Questions


How do you
Expand y(3+t)

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Answer:

3y+ty

Step-by-step explanation:

you do y x 3= 3y

then you do t x y= ty

9 7 5 10 5 3 work out the median​

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Answer:

6

Step-by-step explanation:

3 5 5 7 9 10

Take 5 and 7 and then avrage them.

Find the slope of the graph

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Answer:

Step-by-step explanation:

-2/5

the slope would be -2/5

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Answer:

C

Step-by-step explanation:

We can use the pythagorean theorem (A^2 + B^2 = C^2) To solve this question.

For answer A, we add 6^2 (36) and 8^2(64) to get 10^2 (100). This is a right triangle.

For question B, we add [tex]\sqrt{3}[/tex] ^2 (3) and [tex]\sqrt{8}[/tex]^2 (8) to get [tex]\sqrt{11}[/tex]. This is a right triangle.

For question C, we add 3^2 and 5^2 to get [tex]\sqrt{34}[/tex]. This is not a right triangle.

A rectangular prism has a volume of 210 cubic meters. The length of the prism is 7 meters and the width is 6 meters. (Please help I'm an idiot and I don't know how to do this​

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Step-by-step explanation:

so we need to find the height as volume=width×length×height

210=6×7×height

210=42×height

height=210/42=5 meters

please mark brainliest

Answer:The answer is 5 (im assuming you need to find height.)

Step-by-step explanation: The formula to find height v/lw so you multiply 7 times 6 and divide that by 210.

What is the answer for 438*1824

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Answer:

798,912‬

Step-by-step explanation:

798,912 is the answer to this problem

The pool is open every day from 11:00 a.m. until 8:00 p.m. How many hours is the pool open each day? *

Answers

Answer:

9 hours

Step-by-step explanation:

From 11:00 a.m. to 12:00 p.m. the elapsed time is 1 hour. From 12:00 p.m. to 8:00 p.m. the elapsed time is 8 hours. Add 8 + 1 to get 9 hours.

Hope it helps!

Rates and ratios please help

Answers

Answer:

     1.

a. 6/9 (2/3)

b. 9/6 (3/2)

     2.

a. 4/8 (1/2)

b. 8/2 (4/1)

     3.

a. 3/9 (1/3)

b. 9/3 (3/1)

     4.

a. 2/10 (1/5)

Step-by-step explanation:

Hope this helps :)

Two students were shopping for school supplies. They need spirals which cost x dollars and pens which cost y dollars. One student bought 2 spirals and 3 pens for $8.66. Another student bought 4 spirals and 5 pens for $15.20. Find the unit cost of a spiral.

Answers

Answer:

x=1.15

y=2.12

Step-by-step explanation:

look at the picture ..........

which of the following lists of ordered pairs is a function?

Answers

Answer:

D

Step-by-step explanation:

to be a function you cannot have different y values for the same x, in B for example when x = 3 you have two different values for y (3,7) and (3,8)

D is the only choice where each value of x only has one value for y

Limone's Lemonade Corp. has a savings plan for its employees. If an employee makes an initial contribution of $1,000.00, the company pays 8% interest compounded quarterly. What is the value of the account after 5 years?

Answers

Answer: I don't know

Step-by-step explanation:The annual interest rate is 5%, and the interest accrues at a compounding rate for five years. To calculate the monthly interest, simply divide the annual interest rate by 12 months. The resulting monthly interest rate is 0.417%

Find the geometric mean between 6 and 30. Round answer to 2 decimal places.

Answers

Answer:

13.42

Step-by-step explanation:

Simplify 5x - 3(x – 2) – x

Answers

Answer:

x - 2

Step-by-step explanation:

distributive property first since you stick with parentheses first (PEMDAS)

so 3x - 6 is what it would be.. then you would want to think of the equation as 5x - 3x - 2 - x. seems somewhat complicated but to others not so much.

Next you’re gonna just want to subtract, but you should probably make the problem easier so you can just subtract across right? it’d be 5x - 3x - x - 2. that way all the x variables are together and anything else is separate.

5x - 3x is 2x - x or - 1x is x or 1x.

i think just using the variable x for it being 1 is easier so now we have the problem x - 2.

anything else? nope! that’s the simplified equation.

hope that i was able to help :)

Which of these answers best describes the core?

Answers

Full question plzz we need to know what the core is

Need Help! Thanks! Means alot : )​

Answers

10 maybe I’m not sure
It looks like 0 plus 10 so my guesses is 10

Write an equivalent expression by distributing the "-−" sign outside the parentheses: -(-4.2w-7x-5.4)

Answers

Answer: 4.2*w + 7*x + 5.4

Step-by-step explanation:

Here we need to remember how the product of different signs works, here is the rule:

(+)*(+) = (+)

(+)*(-) = (-)

(-)*(+) = (-)

(-)*(-) = (+)

Now we want to distribute the negative sign in the equation:

"-(-4.2w-7x-5.4)"

We can write this as:

-(-4.2w-7x-5.4) = (-1)*(-4.2w-7x-5.4)

Now we can distribute the "-1"

Then we get:

(-1)*(-4.2w) + (-1)*(-7x) + (-1)*(-5.4)

We have 3 cases where we need to use the "(-)*(-) = (+)" rule, then we get:

(-1)*(-4.2w) + (-1)*(-7x) + (-1)*(-5.4) = 4.2*w + 7*x + 5.4

Please help me with this question

Answers

Answer:

The answer is X=6 ABC=30 CBD=30

Answer:

x = 21

ABC = 105

CBD = 75

Step-by-step explanation:

3x + 12 + 5x = 180

8x + 12 = 180

8x = 168

x = 21

3(21) + 12 = 75

5(21) = 105

I NEED HELPPPPPPP ASAP

Answers

Answer:

The correct answer is: It has only one real solution, x=-2. This is because the two functions intersect at only that point.

Let me know if this helps!

Need help please identify the lines is it chord, secant, tangent, radius, or diameter.

Answers

Xb= radius """"""00""""""6(6(

Marta believes that the equation of the line of best fit for the scatterplot below is y=5/9x+23/9. Which statement best summarizes why Marta is likely incorrect?

Answers

Answer:

A

Step-by-step explanation:

as you can see the y intercept for y=5/9x+23/9

the y intercept is positive (23/9)

and if you drew a line to imitate those points the y intercept(where the line toches the y axis) would be negative.

so A

Answer:

A

Step-by-step explanation:

write an equivalent expression.
-2x + 7

Answers

Answer:

7-2x

Step-by-step explanation:

Cooper was out at a restaurant for dinner when the bill came. His dinner came to $18. After adding in a tip, before tax, he paid $20.34. Find the percent tip.

Answers

Answer: Copper paid 13%

Step-by-step explanation:

Answer: 13%

Step-by-step explanation:

$20,34/$18=1.13

1.13x100=113%

113%-100%=13%

A boxer punches a sheet of paper in midair and brings it from rest up to a speed of 20m/s in 0.044 S

Answers

Complete Question:

A boxer punches a sheet of paper in midair and brings it from rest up to a speed of 20m/s in 0.044 Seconds.

a. what acceleration is imparted to the paper?

b. if the mass of the paper is 0.003 kg, what force does the boxer exert on it?

c. how much force does the paper exert on the boxer?

Answer:

a. Acceleration = 454.55m/s².

b. Force = 1.36N

c. Force = -1.36N

Step-by-step explanation:

Given the following data;

Final velocity = 20m/s

Time = 0.044 seconds.

Since the paper is at rest, we know that it's initial velocity is equal to 0m/s.

a. To find acceleration;

Mathematically, acceleration is given by the equation;

[tex]Acceleration (a) = \frac{final \; velocity - initial \; velocity}{time}[/tex]

Substituting into the equation, we have;

[tex]a = \frac{20 - 0}{0.044}[/tex]

[tex]a = \frac{20}{0.044}[/tex]

Acceleration = 454.55m/s²

b. To find the force exerted by the boxer;

Mass = 0.003kg

Force = mass * acceleration

Force = 0.003 * 454.55

Force = 1.36N

c. To find the force exerted by the paper;

According to Newton's third law of motion which states that, for every action there is an equal and opposite reaction. Therefore, the paper exerts an equal but opposite force on the boxer.

Force = -1.36N

Classify the triangle with the following sides 12, 20, 24

Answers

Answer:

Answer:

Isosceles triangle.

Step-by-step explanation:

On the basis of the lengths of the sides of a triangle, below are three types of triangles.

Equilateral triangle: The triangle in which the lengths of all sides are equal.

Isosceles triangle: The triangle in which the lengths of any two sides are equal.

scalene triangle: The triangle in which the lengths all the three sides are different.

Here, the length of the sides are 24 24 and 4.

Since, two sides are equal in length.

Hence, it is an Isosceles triangle.

Step-by-step explanation:

Answer:

Isosceles triangle.

Step-by-step explanation:

Read the other person's explanation.

Explain how feel about trump being impeached a second time this time for the mobs action​

Answers

Answer:

Trump needed to be impeached for his words and actions that led to the mob action.

He created the atmosphere of distrust in the election results by making statements that the only way he could lose the election would be if there was massive fraud. Then, when he lost the election, he used that as "proof" that there had been fraud. That is distorted logic.

Many of Trump's followers believed his claim that he had won the election, and they came to Washington DC for the rally to support him. Many of them were prepared to commit acts of violence against the members of the Congress, the senators and Vice-president Pence to prevent them from counting the votes from the Electoral College. The Trump followers believed that he could continue as president if they literally fought for him.

They invaded the Capitol and terrorized the elected officials. People died in the attack. And it could have been much worse.

None of that would have happened if not for Trump deluding them, inviting them, and encouraging them.

He must be held accountable.

Step-by-step explanation:

Opinions matter. People should form them based on facts. Facts can be verified and checked. There is a difference between assertions and facts. People can make assertions that are not true. Maybe they are mistaken. Maybe they were confused. People can admit their mistakes and correct the errors.

Some assertions are delusional: the person who makes the statement actually believes something that is not based on facts, and cannot be convinced otherwise.

Some assertions are lies, spoken to deceive others; they deliberately hide or distort the truth.

HELP PLEASE ANSWER THIS THANK YOU

Answers

6 just Count the pairs of 2

What is the correct factorisation of?
X^2+6x+8​

Answers

Answer:

Step-by-step explanation:

Given that: x  

2

+6x+8

                 =x  

2

+4x+2x+8,        (split middle term)

                 =(x  

2

+4x)+(2x+8),    (group pair of terms)  

                 =x(x+4)+2(x+4),         (factor each binomials)

                 =(x+4)(x+2),              (factor out common factor (x+4)

Hence factors of x  

2

+6x+8 are (x+4)(x+2)

x² + 6x + 8

= x² + 4x + 2x + 8

= x(x+4) + 2(x+4)

= (x+4)(x+2)

Alice baked 88 cookies with 11 scoops of flour. With 12 scoops of flour, how many cookies
can Alice bake? Solve using unit rates.

Answers

Then Alice has a lot of spare time and I need points !!
88/11=8

8*12=96

ANSWER 96 cookies

I'm a little bit confused.
Match the term with the definition.
Triangle A) perpendicular cross section of a cylinder
Rectangle B) shape created when a right triangle is rotated about the y-axis
Circle C) shape created when a rectangle is rotated about the y-axis
Cylinder D) parallel cross section of a sphere
Cone E) perpendicular cross section of a pyramid

Answers

Answer:

Step-by-step explanation:

Perpendicular cross section of a pyramid -------   triangle.  

Imagine you cut pyramid like that. Height of pyramid would be height of your triangle. and sides of pyramid would be sides of triangle.

Perpendicular cross section of a cylinder -------  rectangle

diameter of a base of cylinder would be one side of rectangle and height of cylinder would be other side of rectangle. (pair of sides)

parallel cross section of a sphere ------ circle

when you cut sphere a side would appear with shape of circle.

shape create....    -----    cylinder.  

one side of rectangle would be high of cylinder and other would be radius of it.

last one is cone.  If you place right angle in coordinate beginning (0.0) and one of shorter sides to lie on y axis other would be on x axis. when rotated you get cone.

Please help. Don't answer if you don't know please.​

Answers

the first option is the answer (do u need working?)

Answer:

Number 4

Step-by-step explanation:

12-2 is 10, 9-3 is 6.

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