A boy is launching a toy rocket he got for his birthday from the top of an 80 ft building. The function representing
the height is f(0) = -16x? +64x + 80 where x represents time in seconds.
How many seconds did it take the rocket to reach it's maximum height?
A
144 sec
B)
2 sec
Eliminate
1.5 sec
D)
128 sec

A Boy Is Launching A Toy Rocket He Got For His Birthday From The Top Of An 80 Ft Building. The Function

Answers

Answer 1

Answer:

2 seconds, assuming the "?" in the equation is supposed to be ^2 (the exponent of 2):  f(h) = -16x^2 +64x + 80

Step-by-step explanation:

You can either graph the functuion or take the first derivative to find the maximum height.  The first derivative will give us the slope for a values of x.  The slope at the top height of the rocket is zero, since it has stopped and is starting it's way back down.

First Derivative:

f(x) = -16x^2 +64x + 80

f'(x) = -32x + 64

Set this equal to zero and solve for x

0 = -32x + 64

x = 2 seconds.

Use 2 seconds in the original equation to find the height at 2 seconds.

f(2) = -16x^2 +64x + 80

f(2) = -16(2)^2 +64*(2) + 80

f(2) = 144 feet

Graph:

A graph is attached.  You can locate the maximum at (2,144)

A Boy Is Launching A Toy Rocket He Got For His Birthday From The Top Of An 80 Ft Building. The Function

Related Questions

3.) Find the mean for each data set. ROUND FINAL ANSWERS TO THE TENTHS PLACE.

Answers

Answer:

6.4

Step-by-step explanation:

5+7+7+5+7+7+6+7+7 = 58

There are 9 numbers

58 ÷ 9 = 6.444444

To the tenth = 6.4

A pyramid has a square base of length of 12m. Given the slant height of the pyramid is 15 m, draw its net and hence, find its total surface area.

Answers

Answer:

the surface area is 180 if u use multiplication

Step-by-step explanation:

the surface is 0.8 if you use devide

the surface is 3 if u use subtract

and the surface is 27 if you use addition

correct me if I'm wrong :)

Identify the mistake in the solution below and explain how
to correct it. Determine the correct answer.
Algebra
3x - 5+ 3x = x + 8-x-1
6x – 5 = 2x + 7
4x - 5 = 7
4x = 12
x = 3
Steps
original problem
combine like terms
subtract 2x from both sides
add 5 to both sides
divide both sides by 4
-

Answers

Answer:

Mistake is on second line.

x = 2

Step-by-step explanation:

The first two lines are (I added the boldface):

3x - 5 + 3x = x + 8 - x - 1

6x – 5 = 2x + 7

The first line has x and -x. They add to 0.

The second line on the right side should have just 7, but the x and -x of the first line were incorrectly added together giving 2x.

The second line should be:

6x - 5 = 7

Add 5 to both sides.

6x = 12

Divide both sides by 6.

x = 2

At an outdoor party location, the tables seat 12 guests each. The party host invited 163 people and 9 people responded that they would not attend. What is the fewest number of tables needed to seat all of the guests attending the party?

Answers

Answer:B

Step-by-step explanation:


Which ordered pair represents a solution to both equations?


Answers

Answer:

-3,-1

its obvious because all you're doing is plting points

Orion buys 3 books for a total of 25.50. He pays $8 plus sales tax for each book. He wants to know how much the sales tax is for one book.
Let "t" equal the sales tax Orion pays for each book. Write an equation that represents this situation.

Answers

The equation that represents this situation is 8 + 3t = 25.50.

How to calculate the value?

Let the sales tax for each book be represented as t.

Since Orion buys 3 books for a total of 25.50 and he pays $8 plus sales tax for each book. This will be illustrated as:

Cost of book + Tax = Total amount

8 + (3 × t) = 25.50

8 + 3t = 25.50

Collect like terms

3t = 25.50 - 8.

3t = 17.50

Divide

t = 17.50 / 3

t = 5.83

The sales tax is $5.83.

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Pls help me
On June 1, Mary had a balance of $50 in her bank account. During June she made the four transaction below.
Deposited $25.62
Withdrew $19.76
Wrote a check for $56.29
Paid a bank fee of $25

If there were no other transaction, what was the balance in Mary's account at the end of the month?

Answers

I got 137.15 by adding all the numbers

Answer:

The balance in Mary's account at the end of the month is $14.09

Step-by-step explanation:

Step 1: 50+25.62=75.62

Step 2: 75.62+19.76=95.38

Step 3: 95.38-56.29=39.09

Step 4: 39.09-25= $14.09

Louisa is 5 feet 4 inches tall.
How tall is she in inches?

Answers

Answer:

64 inches

Step-by-step explanation:

We need to convert feet to inches

5 ft = 5*12

= 60

5ft is 60 in

1 ft = 12 in

Add 60 in & 4 in

= 64 in

Hope this helps! Please rate it and press the heart button! Thanks!

Answer:

64

Step-by-step explanation:

12 inches= 1 foot

5 feet= 60 inches

60+4= 64 inches

help! Scroll to see image!

Answers

mhorn seems to be correct

Step-by-step explanation:

yshahaa

if you add -10 to 4 times the mystery number you get 0 what is the mystery number?

Answers

Answer:

2.5

Step-by-step explanation:

2.5x4=10

10-10=0

Please help me . Thank you

Answers

Answer: 36

Step-by-step explanation:

K(x) = 2x^2 - 5x + 3

K(-3) = 2(-3)^2 - 5(-3) + 3

K(-3) = 2*9 + 15 + 3

K(-3) = 18+15+3

K(-3) = 36

A garden has several rows of pumpkin plants.Each row has 10 plants how many pumpkin plants could be in the. Garden what strategy would you use.

Answers

Answer:

since they are in groups of 10, there could be 10,20,30,40,50,60....

I hope it helps.

The total number of pumpkin plants could be 10y where, y is number of rows.

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

Here it is given that :

Each row of garden has 10 plants

Let the number of rows of pumpkin plants be = y

Then the total number of pumpkin plants will  be the multiplication of y and 10 that is : 10y

Therefore,The total number of pumpkin plants could be 10y where, y is number of rows.

Read more about expressions at :

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There are four groups of 20 people walking on a shrew each person walks 3 miles how many total miles do all of the people walk

Answers

The answer is 240 miles. 3(4)(20) = 240

All the peoples in a group walk 240 miles.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

There are 4 groups of 20 peoples.

And, Each person walk 3 miles.

Now,

Since, There are 4 groups of 20 peoples.

So, Total number of peoples in 4 groups = 4 x 20

                                                               = 80

And,  Each person walk 3 miles.

So, The distance cover by 80 peoples = 80 x 3

                                                           = 240 miles.

Thus, All the peoples in a group walk 240 miles.

Learn more about the multiplication visit;

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PLS HELP WILL MARK BRANLIEST ! NO FAKE ANSWERS!!!

Answers

Combined Area Expression:

(36 + x - 2 + x - 2)(20 + x - 2 + x - 2) = (32 + 2x)(16 + 2x)

= 4(16 + x)(8 + x)

Area:

4(16 + 5)(8 + 5) = 4 * 21 * 13

= 1092 m^2

PLEEEAASSEEE HELP

Find the constant of proportionality and write an equation for the following proportional relationship.

You can buy 14 apples for $28.

Use a to represent number of apples and c to represent the cost

Answers

Answers:

constant of proportionality:  2equation is:  c = 2a

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

Explanation:

a = number of apples purchased

c = cost in dollars

The equation is in the form c = ka, where k is the constant of proportionality. It tells us what to multiply 'a' by to get the cost c. In more realistic practical terms, the value of k is the cost per apple (aka unit cost).

To find this unit price, we divide the given price by the given number of apples: k = c/a = 28/14 = 2. Each apple is $2. The constant of proportionality is 2.

We'll update the equation from c = ka to c = 2a

Note that if we bought a = 14 apples, then it costs us c = 2a = 2*14 = 28 dollars as expected.

Answer:

c=2a

Step-by-step explanation:

c=2a

A triangle has two sides of length 15 and 1. What is the largest possible whole-number length for the third side?

Answers

Answer:

15

Step-by-step explanation:

The conditions for triangle side lengths are:

A + B > C

A + C > B

B + C > A

The reverse is true too, of course:

A < B + C

B < A + C

C < A + B

Note that it's just 'greater than', not 'greater than or equal to' ( ≥ )

With those in mind, if 15 and 1 are A and B:

15 + 1 > C

15 + C > 1

1 + C > 15

And those can be simplified to these:

C < 16

C > -14 ( can be ignored because of the next one)

C > 14

And finally:

14 < C < 16

The largest whole number that fits those requirements is 15.

reorder the steps of the proof to make sure that steps that are logically dependent on prior steps are in the proper order.


Given:

A

B





C

D



AB



CD

and

B

C





A

D



.

BC



AD

.


Prove:

A

C



AC

bisects

B

D



BD

.

Answers

Answer: a

Step-by-step explanation:

Help u guys plssss number 8

Answers

Answer:

27

Step-by-step explanation:

Note : -

That square like symbol at the intersection of two lines is 90°.

( 4x - 18 )° and 90° are corresponding angles.

Corresponding angles are equal since lines

a & b are parallel.

4x - 18 = 90

4x = 90 + 18

4x = 108

x = 108 / 4

x = 27

how does the graph of y=Vx+2 compare to the graph of the parent square root function

Answers

Option c since the equation shifts 2 units vertically up compared to parent square root function

I don’t know what way the line goes

Answers

Answer:

line goes from bottom left to top right or as we would call it positive. now the +5 is your y intercept so start at 5 and go up one over 2 right because that is your slope

Alguien puede ayudarme porfavor es para hoy ...Se los agradeceria mucho ​

Answers

Answer:

english?

Step-by-step explanation:

Sofi stores water for her turtle tank in a container with a maximum
capacity of 64 ounces. The container is filled with 4 8 ounces less than
its maximum capacity
PART A
PARTE
Sofi accidentally spills 5% of the container's Sofi needs to add 16 ounces of water to
maximum capacity on the counter. To what her turtle tank. What percentage of the
percent of its capacity is the container
remaining water in the container does she
now filled?
need to use? Explain.
67.5%
12.5%
87 99
95%

Answers

A) If Sofi accidentally spills 5% of the container's maximum capacity on the counter, the container is now filled to 87.5% of its capacity.

B) If Sofi needs to add 16 ounces of water to her turtle tank, she needs to use 28.57% of the remaining water in the container.

Given that Sofi stores water for her turtle tank in a container with a maximum capacity of 64 ounces and the container is filled with 4.8 ounces less than its maximum capacity, to determine A) if Sofi accidentally spills 5% of the container's maximum capacity on the counter, to what percent of its capacity is the container now filled, and B) if Sofi needs to add 16 ounces of water to her turtle tank, what percentage of the remaining water in the container does she need to use, the following calculations must be made:

A)

64 = 100 (64 - 4.8) - (64 x 0.05) = X 64 = 100 56 = X 56 x 100/64 = X 87.5 = X

Therefore, if Sofi accidentally spills 5% of the container's maximum capacity on the counter, the container is now filled to 87.5% of its capacity.

B)

56 = 100 16 = X 16 x 100/56 = X 28.57 = X

Therefore, if Sofi needs to add 16 ounces of water to her turtle tank, she needs to use 28.57% of the remaining water in the container.

Learn more in https://brainly.com/question/17592236

Answer:

A=87.5%   b=28.57

Step-by-step explanation:

ADVICE PLEASE LOOK AT THIS VERY HELPFUL

PART                           percent

--------- over =          ----------------- over   Cross multiply and then divide by 100  

WHOLE                       100%

Which could be the lengths of three sides of a triangle?
a. 10 ft, 10 ft, 21 ft
b. 19 ft, 11 ft, 3 ft
c. 18 ft, 8 ft, 10 ft
d. 12 ft, 25 ft, 35 ft
e. 4 ft, 4 ft, 8.4 ft

Answers

Answer:

I believe it is d

Step-by-step explanation:

it is the only option where every combination of two sides is larger than the third

Answer:

d

Step-by-step explanation:

if you add up 2 sides it is larger than the third, which is what we are looking for :))

what is P= 100 I/RT a) I=3, R=4 and T=2​

Answers

Answer:

not sure what that a) means but...

P = 300/8 = 150/4 = 75/2

Answer:

Answer: 19

Step-by-step Explanation:

P=x

x= 3 -(-8)(2)

x = 3 --16

(A negative plus a negative equal a

positive)

x= 19

need help plssss!!!!

Answers

should I call 911 !!!!!!!!!!!!!!

Need help with what

can anyone help me out with this?

Answers

Given :

Evaluate the equation.

2x – 4(x – 2y) + 6y = ?

When x = 5 and y = 2 then,

2x – 4(x – 2y) + 6y

= 2(5) – 4[(5) – 2(2)] + 6(2)

= 10 – 4(5 – 4) + 12

= 10 – 4*1 + 12

= 10 – 4 + 12

= 22 – 4

= 18

hope this helps ^^
.
.
.

plz help I need answer asap! ​

Answers

Answer:

x=2.4

Step-by-step explanation:

for this one we find the scale factor you can pick any two similar points i picked 3 and 1.8 i did 1.8/3 and found the scale factor is .6 so x= ML or 4 * .6 (our scale factor) which gives x=2.4

Answer:

x=2.4

Step-by-step explanation:

This is simple! If you know how to find scale factor then then problem is a breeze.

Look at side JK and side PQ. To find the scale divide 3 by 1.8 This gives you 1.66666666667. We don’t want this long number but we can work with it :3

Now to find that missing side= x

4 / 1.66666666667= 2.4

x=2.4

( pssstt! This “/“ means division ;-)

hope this helped :D

HELPPPPP!!!!!!!!!!!!!!!!!!

Answers

Answer:

I think b im not too sure

Step-by-step explanation:

Answer:

C  8

Step-by-step explanation:

3 apples/2 oranges = 12 apples/x

3/2 = 12/x

3x = 24

x = 8 oranges

Writing quadratic functions

Answers

Answer:

So, y = x^2 is a quadratic equation, as is y = 3x^2 + x + 1. All of these are polynomial functions of degree 2. Often you will be given the quadratic ...

Find the value of 9+ y when y=13.

Answers

Answer:

22

Step-by-step explanation:

When y is 13 ,

9 + y

9 + 13 = 22

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