Darryl Dixon shoots an arrow at a zombie. The path of the arrow can be modeled with the equation y=-x^2 42x-80, where x is time in seconds and y is the height in feet. How long does it take for the arrow to reach its maximum?

Answers

Answer 1

We need to find time taken to reach arrow to its maximum.

The path of the arrow can be modeled with the equation [tex]y=-x^2+ 42x-80[/tex] .

Differentiating the given equation w.r.t x and equate it to zero.

[tex]\dfrac{dy}{dx}=-2x + 42 \\\\42 - 2x = 0\\\\x = 21\ seconds[/tex]

Putting value of x = 21 sec in given equation, we get :

[tex]y=-x^2+ 42x-80\\\\y = -(21)^2 + (42\times 21) - 80\\\\y = 361 \ feet[/tex]

Therefore, time taken to reach maximum height is 21 seconds.


Related Questions

looking at the graph what does the y intercept tell you about the puppies in the litter? help me ​

Answers

The predicted change in mass of the puppies each day. So the first option.

if an object has a density of 6.g/mL and you put it into water, will it sink or float?​

Answers

Step-by-step explanation:

If an object has a higher density than the fluid it is in (fluid can mean liquid or gas), it will sink. If it has a lower density, it will float. Density is determined by an object's mass and volume. If two objects take up the same volume, but have one has more mass, then it also has a higher density.

In the following expressions identify the leading coefficiant and constant term for each:
5x{little corner 2} - 10
and
-x{little corner 2} - 10x + 2

Answers

y^2 my teach taught me this last year

24
A company deposits $90,000 into an account that pays 1% interest per month. At the end of each month, the company withdraws $10,000. After two months
the company had $71,709 remaining in the account,

Answers

Answer:

90k-20k = 70k they had 1709 interest money

Step-by-step explanation:

70k
I think sorry if I am wrong have a nice day tho

Circle K has a diameter of 10 centimeters and a major arc RS is intercepted by a central angle of 190°. Find the length of major arc RS . Round to the nearest tenth.

Answers

Answer:

16.6

Step-by-step explanation:

what is a simplified fractional eqeuvilent of a teminating decimal .68

Answers

Answer:

17/25

Step-by-step explanation:

0.68 is read as "sixty-eight hundredths."

Write sixty-eight hundredths as a fraction: 68/100

Now we reduce 68/100.

68/100 = 34/50 = 17/25

Answer:

17 /25

Step-by-step explanation:

0.68

is the same as  

6

10

+

8

100

=

68

100

68

÷

4

100

÷

4

=

17

25

As 17 is a prime number we stop at this point. srry if this in not correct

Right triangle JKL is shown below.

What is the measure of nearest degree.

Answers

Answer:

Step-by-step explanation:

Hypotenus=6

Adjacent=4

H and A

Cos x degrees=  A divided by H

4 divided by 6=0.666666666

cos inverse(0.6666666666666666)

=48.2

=48

HELP!!! 15 POINTS!!!!

Answers

Answer:

Nothing

Step-by-step explanation:shahhahhahahahhaha

PLEASE HELP ASAP!?!?!?

Answers

Answer:

i only did the second one!

but i am still trying to solve the first.

Hope I am correct! please forgive me if this is wrong!

I did also the first one!

I need help with number 11 just the answers no need to show work!

Answers

I wish I could help but I can’t see the it

Plz help I make u brainliest

Answers

Answer:

1. you got it dude

Step-by-step explanation:

..............

Answer:i believe the answer is 23

5. What is the perimeter of a rectangle with a length of 9x - 4 and a width of 5x+2?

Answers

Answer:

14x-2

Step-by-step explanation:

In order to find the perimeter we need to add the length and width together. So adding 5x and 9x gives us 14x. -4+2=-2

The perimeter of a rectangle with a length of 9x - 4 and a width of 5x+2 is, 28x-4

What is the perimeter?

Perimeter is a mathematical term, which means total outer boundary of a figure, we define it only for two dimensional figures.

Perimeter = Sum of length of the all the sides

Given that,

length of rectangle = 9x - 4

width of  rectangle =  5x+2

As we know,

Perimeter = Sum of length of the all the sides

Perimeter =  (9x - 4) + (5x+2) + (5x+2) + (9x - 4)  

Perimeter =  28x-4

Hence, The perimeter is  28x-4

To know more about Perimeter check:

https://brainly.com/question/6465134

#SPJ2

How many solutions does this equation have
6x + 2x - 4= 4(2x - 1)

Answers

Answer:

All Real Numbers

Step-by-step explanation:

Step 1:

6x + 2x - 4 = 4 ( 2x - 1 )         Equation

Step 2:

8x - 4 = 8x - 4          Combine Like Terms

Step 3:

8x = 8x         Add 4 on both sides

Answer:

All Real Numbers

Hope This Helps :)

Jacob stated that he solved the equation 2x+3=5 using addition and multiplication property of equality. Which statement is true?

A. Jacob added -3 to both sides and multiplied both sides by 1/2
B. Jacob added -3 to both sides and multiplied both sides by 2
C. Jacob added 3 to both sides and multiplied both sides by 1/2
D. Jacob added 3 to both sides and multiplied both sides by 2

Answers

Answer:

It is A.

Step-by-step explanation:

It shows the steps that distribute everything properly

What is the y-intercept of the function?

Answers

Answer:

-5

Step-by-step explanation:

can someone help me !

Answers

Angle 1 and Angle 3

This is because the two angels are congruent due to the consecutive angles theorem,

The answer is g
Because angles 1 and angle 3 are corresponding

For addition, drag tiles onto the board.
To form a group. place one tile on top of another.
Which expressions have the same solution as -4(6)?
Check all that apply.
-4-6)
O 4(-6)
O 6(-4)
-8(2)
O 12(-2)
Board sum: 0

Answers

5 (-6) & 12(-2) are the ones that apply because -4(6) is -24 and both of those expressions come out to that.

1+1??????????????????????????????????????????

Answers

Answer: 2

Step-by-step explanation: 1+1=2

Answer:

1+1=2 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

PLS HELP! ASAP!

Find the value of x in the triangle below

Answers

Answer:

the answer is 56

Step-by-step explanation:

because it is an equilateral triangle the other side is 62 so you add 62+62=124 180-124=56

............Find .....X......

Answers

Answer:

x=50

Step-by-step explanation:

(x-10)+x+90=180

2x-10+90=180

2x+80=180

2x=100

x=50

looking from the picture it would be 50

NEED HELP ASAP DONT HAVE TIME PLSSS Mr and Mrs. Neal want to repaint the outside of their house. To get the specific shade of green that they want the salesperson at the hardware store needs to mix green paint and white paint in the ratio of 7:2. How many gallons of white paint will the salesperson need if she uses 14 gallons of green paint? 0 49 4 0 1 hing O 28​

Answers

Answer:

Your answer is 4

Step-by-step explanation:

because if it’s a 7:2 ratio and you have 14 gallons of green paint then you will need 4 gallons of white paint.

Answer:

4 gallons of white paint

Step-by-step explanation:

If the ratio of the mix is 7:2, then all you need to do is multiply both sides by 2 and you get the ratio of 14:4

The salesperson will need 4 gallons of white paint

And 14 gallons of green paint

What is 5+5x•40 if x equals 5

Answers

x = 4



This is the anwser

Please answer correctly. I will give you the brainliest and 15 points!!! plzzzzzzzzzzzzz need ASAP

Which of these is not a possible r-value? ​

Answers

Answer:

D

Step-by-step explanation:

A value of greater than 1 is not a possible value of r or the correlation coefficient in statistics. Therefore, it is not D

What is the circumference of the circle
A. 18.84
B. 17.6
C. 21.79
D. 15.65

Answers

Answer:

18.84

Step-by-step explanation:

The formula for circumference is 2(pi)r, I think. The radius is 3. 3 times 2 is 6. 6 times 3.14 is around 18, I think.

hope this helps

Answer:

A

Step-by-step explanation:

CAN ANYONE HELP ME PLSS?

Answers

Answer: The domain is the 3rd answer

Step-by-step explanation:

1. Lauren’s scores on her four math tests are: 83%, 79%, 94%, and 96%. What is the lowest score Lauren needs to achieve an average score greater than 85?

2. Twice an integer increased by 6 is less than 48.

A. Write an inequality.





B. What is the largest integer this could be?

Answers

Answer:A

Step-by-step explanation:

Maurice and his father are building a dog house. They are using long pieces of wood and cutting them into smaller pieces. They have a piece of wood that is 3.6 feet long and are cutting it into pieces that are each 0.75 feet. How many smaller pieces will they be able to make?

Answers

Answer:

4.8 smaller pieces

Step-by-step explanation:

Total length of wood = 3.6 feet

Length of each piece = 0.75 feet

How many smaller pieces will they be able to make?

Number of smaller pieces of wood = Total length of wood / Length of each piece

= 3.6 feet / 0.75 feet

= 4.8 smaller pieces

Number of smaller pieces of wood = 4.8

Anna made and sold x ceramic vases one week. Her profit, P, in dollars is calculated using the formula P = R - C . Where R represents her revenue and C represents her costs. If R = 25x - 0.5x ^ 2 C = 100 + 5x which expression represents her profit in dollars?

Answers

Answer:

-0.5x² + 20x + 100

Step-by-step explanation:

Given:

R = 25x - 0.5x²

C = 100 + 5x

P = R - C

Where,

P = profits

R = Revenue

C = Cost

which expression represents her profit in dollars?

P = R - C

R = 25x - 0.5x²

C = 100 + 5x

= 25x - 0.5x² -(-100 + 5x )

= 25x - 0.5x² + 100 - 5x

= -0.5x² + 20x + 100

The expression which represents her profit in dollars is -0.5x² + 20x + 100

Find the value of X

Answers

Answer:

should be 80, angle 50 is congruent on both sides to 50+50 equals 100. The triangle sum theorem says a triangle adds up to 180 degrees so we are left with 80, X=80 degrees

the total angle is 180.

50 + 50 + x = 180

thus , x = 80

what is the equation of the line

Answers

Answer:

x=3

Step-by-step explanation:

No matter what happens to the y value, x always stays on the number 3, so y does not matter for this equation, it is simply x=3.

Answer:

simply x=3

Step-by-step explanation:

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