A ball is thrown strait up from the top of a 64 foot tall building with an initial speed of 48 feet per second. The height of the ball as a function of time can be modeled by the function h(t)=-16t^2+48t+64. At what other time will the ball be at a height of 64 feet? How long will it take for f ball to reach its maximum height? What is he maximum height reached by the ball? How long willlit take for the ball to hit the ground?

Answers

Answer 1

Answer:

see below

Step-by-step explanation:

h(t)=-16t^2+48t+64

Find when h(t) = 64

64 = -16t^2+48t+64

Subtract 64 from each side

0 =  -16t^2+48t

Factor

0 = -16t( t-3)

Using the zero product property

-16t =0    t-3 =0

t=0 and t=3

Other than at t=0,  so at t=3 seconds

How long will it take for f ball to reach its maximum height?

Find the vertex

t = -b/2a = -48 / ( 2 * -16) = -48/ -32 = 1.5 seconds

It will reach the maximum height at 1.5 seconds

What is the maximum height reached by the ball?

The height will be

h(1.5) = -16*(1.5)^2+48(1.5)+64

       = -36+72+64

       = 100

The maximum height is 100 ft

How long will it take for the ball to hit the ground?

h(t) =0

0=-16t^2+48t+64

Factor

0 = -16( t^2 - 3t -4)

0=- 16( t-4) (t+1)

Using the zero product property

t-4=0     t+1=0

t =4     t = -1

Since time cannot be negative

t=4 seconds


Related Questions

The equipment elevator descends 4 feet per second. The elevator for the miners descends 17 feet per second. The equipment elevator descends. After 25 seconds, the elevator for the miners begin to descend. What is the position of each elevator relative to the surface after another 12 seconds? At that time. Which elevator is deeper?

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Equipment elevator Descent = 4 fts per Second

Miners elevator descent = 17 ft/sec

Miner's elevator begins descent 25 seconds after equipment elevator :

Elevation after another 12 seconds :

Descent = (speed * time)

Equipment elevator = 4 * (25 + 12) = 148 ft descent

Miner's elevator = 17 * 12 = 204 ft descent

The Miner's elevator is deeper at 204 feets.

My rank is 27 out of 667 students for my senior class...what rank would I be considered? Top 10th, top quarter, top half, or bottom half. (I filling this out for an app btw)

Answers

The answer would be too quarter:)

can anyone help this is my last try agian

Answers

Answer:

The bakery sold 340 that day

Step-by-step explanation:

119 is 35 percent of 340

Is y=1/4x a function

Answers

i sure is crosses through the orgin once straight through the middle plus its linear slope of 4

The mass of a teapot and 4 cups is 1,280 grams. The mass of the same teapot and 10 cups is 2,720 grams. Each cup has the same mass. What is the mass of the teapot?

Answers

Answer: 320 grams

Step-by-step explanation:

Let the mas of the teapot be denoted by a

Let the mass of the cups be denoted by c

The question can be turned into an equation which will be:

a + 4c = 1280 ......... equation i

a + 10c = 2720 ........ equation ii

Subtract equation i from ii

6c = 1440

c = 1440/6

c = 240 grams

The mas of the cup is 240 grams

From equation i

a + 4c = 1280

a + 4(240) = 1280

a + 960 = 1280

a = 1280 - 960

a = 320 grams

The mass of the teapot is 320 grams

PLEASE HURRY, MARKING BRAINLIEST.

Solve for the value of x that makes lines a and b parallel.

Answers

x = 16
You set the equations equal and then solvep

Answer:

x=16

Step-by-step explanation:

if the lines were parallel then that means that (7x+2) = (8x-14) because they are corresponding angles. just isolate the varible so subtract 7x from both sides and add 14 to both sides. and they you get x=16

The student council has a budget of $100 to spend on the balloons for the holiday dance. They order from a company that charges $2 per ballon, plus a $12 delivery fee per order. The student council uses the inequality below, where b represents the number of balloons ordered, to determine if they have enough money to place an order for a specific number of books. 2b+12<100

Answers

Answer:

44 Balloons        

Step-by-step explanation:

We are expected to solve for the total number of balloons they can get with $100

given that the expression for the total cost of balloons is given as

2b+12<100

We can proceed to solve for the total number of balloons they can buy, by solving for b we have

2b+12=100

2b=100-12

2b=88

divide both sides by 2 we have

2b/2=88/2

b= 44

Therefore they would get a total of 44 balloons  

Let g(x) = x2 + 4x - 1. Evaluate for g(-1)

Answers

Answer:

-7

Step-by-step explanation:

x2 + 4x - 1

(-1)2 + 4(-1) - 1

-2 + -4 - 1

-7

What is the measure of angle B?

A. 35°
B. 55°
C. 125°
D. 65°

Answers

Answer:

B.

Step-by-step explanation:

B.55

we know that the measures should add up to 180 degrees so,

90+35= 125
180-125= 55

so, the measure of angle B is 55 degrees

Explain what is square root in simple form using example. ​

Answers

If something is written in its simplest radical form, that means that you have already found all possible roots and eliminated any radicals from the denominator of a fraction. ... For example, if your fraction is 2/√7, multiply by √7/√7 to get 2√7/√49. This will simplify to 2√7/7.  hope this helps

Answer:

Square roots are the opposite of “squaring” a number, or multiplying it by itself. For example, three squared is nine (3 2 = 9), so the square root of nine is three. In symbols, this is √9 = 3. The “√” symbol tells you to take the square root of a number, and you can find this on most calculators.

Step-by-step explanation:

hope it helps

Evaluate:
(-4) (-3)
Another easy 10 points for yall

Answers

Answer:

12

Step-by-step explanation:

tysm ily

(-4)(-3)

= 12

Easy lol

2. Find m 21.
(1 point)
339
579
21
O 147°
123°
90°
57°

Answers

Answer:

90°

Step-by-step explanation:

33+57=90

180-90=90

Solve the following absolute value equation
| x+5 | = 11

Answers

Answer:

X is 6 or -6

Step-by-step explanation:

In absolute value it makes everything positive

Answer:

x = 6

Step-by-step explanation:

Simplify: x + 5 = 11Subtract 5 from each side, so it now looks like this: x = 6

I hope this helps!

Geometry
Please help

Answers

answer: MQ= 8 and PQ= 16

explanation:

4+4= PM (8)

MQ = PM, so MQ= 8

PM + MQ = PQ

8 + 8 = 16, so PQ = 16

Find pairs of points with a slope of ²/₅

Answers

Answer:

Look below

Step-by-step explanation:

To find a slope with 2/5, you can use y2 - y1/x2 - x1. The 1 and 2's can be different but you cannot mistake the x and y.

1st example:

(1, 5), (6, 7)

Reason: (7-5)/(6-1) = 2/5

2nd example:

(2, 8), (7, 10)

Reason: (10 - 8)/(7 -2) = 2/5

3rd example:

(5, 2), (10, 4)

Reason: (4-2)/(10 -5) = 2/5

Hope this helped!!!!!

Answer ASAP!!! LOOK AT PIC FOR QUESTION.​

Answers

Answer:

A

Step-by-step explanation:

The equation starts at the coordinate point (0,0)

Answer:bdusnsbs

Step-by-step explanation:

which of the following is equivalent to (4x^2)^3

Answers

Answer:

x=3

x=−3

Step-by-step explanation:

i need help with this q7

Answers

Answer:

Yes, it is a proportional relationship!

Step-by-step explanation:

The graph is in a proportional relationship so the first one

which is the choice to the inequality below?
x/6>7

Answers

Answer:

[tex]x > 42[/tex]

Step-by-step explanation:

[tex]\frac{x}{6} > 7[/tex]

Multiply 6 on both sides. [tex]6(\frac{x}{6}) > 6(7)[/tex].

Simplify it. [tex]x > 42[/tex]

Therefore, the answer is [tex]x > 42[/tex].

Hope this helped! If not, please let me know! <3

I need help answer this Question!
-6+3(-4-2x)>=-16-6x

Answers

There is no solution for that problem....

Jordan already knew 2 appetizer recipes before starting culinary school, and he will learn 2 new appetizer recipes during each week of school. Write an equation that shows the relationship between the number of weeks w and the number of appetizer recipes a. Write your answer as an equation with a first, followed by an equals sign

Answers

Answer:

w=2r

r= w/2

r- w/2 = 0

w -2r= 0

Step-by-step explanation:

Let w be the number of weeks and r be the number of recipes learnt . So he will learn 2 recipes each week .Equating gives

w=2r

when w= 1

w= 2(1) = 2

For 1st week 2 recipes are learned

when w= 2

w= 2( 2) = 4

For 2nd week 4 recipes are learned.

or

when r= 2

r= w/2

r =2/2  = 1  one  recipe is learned in half of the week  

r- w/2 = 0

or

w -2r= 0

A pod of dolphins contains 800 dolphins of different ages and lengthens. The median length of dolphins in this pod is 5.8 feet. What info does does this tell you about the length of dolphins in this pod?

Answers

That all dolphins have different sizes and are mostly different ages

The median represents the middle value of the data 5.8 feet will be the middle value.

What is the median?

The median represents the middle value in a dataset. The median is important because it gives us an idea of where the center value is located in a dataset. The median tends to be more useful to calculate than the mean when a distribution is skewed and/or has outliers.

Given that apod of dolphins contains 800 dolphins of different ages and lengthens. The median length of dolphins in this pod is 5.8 feet.

From the definition, we can see that of the 800 dolphins the length of the middle dolphin is 5.8 feet because it is a median and the upper values will be greater than 5.8 feet and below it all the dolphins will have smaller lengths.

Therefore, the median represents the middle value of the data 5.8 feet will be the middle value.

To know more about median follow

https://brainly.com/question/23962563

#SPJ2

An aircraft factory manufactures airplane engines. The unit cost (the cost in dollars to make each airplane engine) depends on the number of engines made. If engines are made, then the unit cost is given by the function . What is the minimum unit cost?C(x)=x^2-520x+73458

Answers

Answer:

Minimum unit cost = 5,858

Step-by-step explanation:

Given the function : C(x)=x^2−520x+73458

To find the minimum unit cost :

Take the derivative of C(x) with respect to x

dC/dx = 2x - 520

Set = 0

2x - 520

2x = 520

x = 260

To minimize unit cost, 260 engines must be produced

Hence, minimum unit cost will be :

C(x)=x^2−520x+73458

Put x = 260

C(260) = 260^2−520(260) + 73458

= 5,858

PLZ HELP MEEEE, will give brainliest

Answers

Answer:

It is either B or D but i would say B

Step-by-step explanation:

Mike is 5 years old and Randy is 8 years old. Select all proportional relationships that have the same ratio to that of Mike and Randy's
age.
Jenna and Jamie are 13 years old.

Answers

Answer:

The ratio is multiplying 1.6 so just pick all the proportional relationships where you have to multiply by 1.6.

Step-by-step explanation:

Proportional relationships man you have to multiply, but since I didn't know what you multiplied 5 to get to 8 I divided.

8÷5=1.6

And if you want to check your answer then multiply.

5×1.6=8

Could I please have BRAINLIEST?

Is the relation a function?{(1,5),(1,7),(3,9),(4,11)}

Answers

Answer: No

Step-by-step explanation: Multiple Y values come from the same X value, which means its not a function.

Answer:

No

Step-by-step explanation:

Determining whether a relation is a function on a graph is relatively easy by using the vertical line test. If a vertical line crosses the relation on the graph only once in all locations, the relation is a function. However, if a vertical line crosses the relation more than once, the relation is not a function.

9/28 help me with math please

Answers

hope this helps broski

❤❤❤

Suppose x, y, and z are all rational numbers. Is
a rational number? Explain
2
your answer.
O Yes; the square and square roots cancel out, leaving a rational number.
There is not enough information to answer the question.
O No; the square root of any number is irrational.
O No; a quotient of rational numbers is not always rational.

Answers

Yes number 1 yes yes

What is the equation of this line?


y=12x−2

y=−12x−2

y=2x−2

y=−2x−2

Answers

y=-2x=0 :) hope it helped

what is 2x+54+4x-6=180

Answers

Answer:

=22

Step-by-step explanation:

Subtract the numbers

2+54+4−6=180

2+48+4=180

Combine like terms

2+48+4=180

6+48=180

Subtract 48 from both sides of the equation

6+48=180

6+48−48=180−48

Simplify

Subtract the numbers

Subtract the numbers again

6=132

Divide both sides of the equation by the same term

6=132

6/6=132/6

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=22

Solution

=22

BRAINLIEST PLEASE!

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