An archer releases an arrow with an initial velocity of 20 feet per second at a height of 12 feet. The path the arrow takes can be modeled using the function f(x)=−16x2+20x+12, where f(x) represents the height, in feet, of the arrow and x represents the time the arrow travels in seconds. What is the maximum height, in feet, reached by the arrow? Round your answer to the nearest hundredth if necessary. Do not include units in your answer

Answers

Answer 1

Answer: 18.25

Step-by-step explanation:

The arrow reaches its highest point at the y-value of the turning point. Thus, we need to find the maximum quadratic function.

-16x^2+20x+12

We know that the maximum( or minimum) of a parabola is reached at x= -b/(2a)= -20/ 2(-16)= 18.25

Showing that the object will reach a maximum height of 18.25 feet


Related Questions

hey guys I need help on maths. ​

Answers

Answer:

x=122°

Step-by-step explanation:

sum of all interior angles in a quadrilateral = 360°

then ,

119+105+78+m = 360

m = 58

....

m+ x = 180 ( linear pair)

58+x = 180

x = 122

Anna juices 8 quarts of juice in 1 minute. How many gallons does she have in 1 hour? (4 quarts = 1 gallon)

Answers

Answer: 120

Step-by-step explanation: 8 times 60 is 480 then converted to gallons do

480/4

First one to answer gets BRAINLIEST no cap look at the picture.

Answers

Answer:

63 sq meters

Step-by-step explanation:

[tex]A=\frac{a+b}{2} h\\\\A=\frac{11+7}{2} *7\\\\A=\frac{18}{2} *7\\\\A=9*7\\A=63[/tex]

A=a+b/2 •9
A=11+7/2 •9
A=18/2 •9
A=9•9
A=81 m^2

Pleaseeee help I'll give Brainliest urgent!!!!!!!!!!!!!!!!!

Answers

Answer:

The answer is

'The range of the data for girls is less than the range of the data for boys'

I'm don't know dfhgh fhfghfg hgf hgfh

Which of the following equations have no solutions? Select all that apply:
A) 14r + 23 = 14r -23
B) -23r - 14 = 14r -23
C) 14r - 23 = 14r -23
D) -14r + 23 = 14r - 23​

Answers

A) Yes: they would cancel each other out
B) No: r = 9/37
C) Yes: they would cancel each other out
D) No: r = 23/9
The answer is
A.) 14r + 23 = 14r - 23

C.) 14r - 23 = 14r - 23

use the method of successive differences to determine the next number in the given sequence 4; 32; 160; 798; 2706; 7164; 16,142 assuming the the pattern continues , the eighth term would be

Answers

Answer:

32470

Step-by-step explanation:

4; 32; 160; 798; 2706; 716

28;128;638;1908;4458

100;510;1270;2550

410;760;1280

350;520

170

7th: 170+520+1280+2550+4458+7164=16142

4; 32; 160; 798; 2706; 7164;16142

28;128;638;1908;4458;8978

100;510;1270;2550;4520

410;760;1280;1970

350;520;690

170;170

8th: 170+690+1970+4520+8978+16142=32470

which is the solution of the equation below m-9=4 A M= -5 B m= -13 C M=5 D M= 13

Answers

Answer:

m= 13 is corrrect

Step-by-step explanation:

because 13-9=4 so D

Answer:

D.) m=13

Step-by-step explanation:

m-9=4

add nine to both sides then

m=13

What is the average rate of change for f(x) = 2 ^ x + 10 over the interval 2 <= x <= 4

Answers

The answer is c8 hope that helps

Most states and Canadian provinces have government-sponsored lotteries. Here is a simple lottery wager, from the Tri-State Pick 3 game that New Hampshire shares with Maine and Vermont. You choose a three-digit number; the state chooses a three-digit winning number at random and pays you $500 if your number is chosen. Because there are 1000 three-digit numbers, you have probability 1/1000 of winning. Taking X to be the amount your ticket pays you, the probability distribution of X is Payoff X Probability: $0.00 0.999 What is your average payoff from many tickets

Answers

Answer:

For many(n) tickets, the average payoff is 0.5n, in which n is the number of tickets.

Step-by-step explanation:

1/1000 chance of winning.

This means that there is an 1/1000 probability of you earning $500.

1 - 1/1000 = 999/1000 chance of losing.

In this case, you earn nothing.

What is your average payoff from many tickets

[tex]A = \frac{500*1}{1000} + \frac{0*999}{1000} = \frac{500}{1000} = 0.5[/tex]

Your average payoff from a ticket is 0.5. So for many(n) tickets, the average payoff is 0.5n, in which n is the number of tickets.

What is the solution to 5x - 15 = -25 ?

Answers

Answer:

-2

Step-by-step explanation:

Add 15 to both sides

5-15+15=-25+15x=-10

Dive by 5 both sides

5/5=-10/5

x=-2

Which statement explains how you could use coordinate geometry to prove that quadrilateral ABCD is a rectangle ​

Answers

Answer:

prove that opposite sides are congruent and parallel

Step-by-step explanation:

i took the testtttttt

The statement which explains is Prove that opposite sides are congruent and that the slopes of consecutive sides are opposite reciprocals, the correct option is D.

We are given that;

The quadrilateral ABCD

Now,

A rectangle is a quadrilateral with four right angles, which means that the slopes of consecutive sides are negative inverses of each other.

For example, if the slope of AB is m, then the slope of BC is -1/m.

Also, a rectangle has opposite sides that are equal in length,

which means that the distance between A and B is the same as the distance between C and D, and the distance between B and C is the same as the distance between A and D.

Therefore, by quadrilateral the answer will be prove that opposite sides are congruent and that the slopes of consecutive sides are opposite reciprocals.

To learn more about quadrilateral visit;

https://brainly.com/question/29934440?referrer=searchResults

#SPJ4

Three-quarters of the junior members of a tennis club are boys and the rest are girls.
What is the ratio of boys to girls among these members?
Input note: give your ratio in its simplest form.

Answers

Answer:

7 quarter...................

find the 14th term of the geometric sequence 2,4,8

Answers

Answer:

(0,16) I am pretty sure

Step-by-step explanation:

TRUE or FALSE. Write the word True if the statement is true, and False if the statement is false

1.If my father and mother have a gene coding for obesity, it is guaranteed that I will be obese.

2.Many factors other than genetics may determine whether a person is obese.

3.It is possible that I will inherit other genes from my parents that counter the obesity genes.

4.Phenotypes are the observable characteristics of an individual.

5.Mutations determine differences in the human genome.

Answers

Answer:

Step-by-sTrue

tep explanation:

Answer:

1: False

2: True

3: True

4: True

5: False

Step-by-step explanation:

what is the sum of 2/5 and 2/5 in simplest form

Answers

Answer:

The answer is 2/5

Step-by-step explanation:

2/5+2/5=4/5=2/5

Will someone please help me solve this problem.​

Answers

Answer:

A

Step-by-step explanation:

The answer is 64 since it can be a multiple of the numbers

How many laps did Benito swim?
Rate: 10 laps in 6 minutes Time: 30 minutes

Answers

Answer:

50 laps

Step-by-step explanation:

10 laps : 6 minutes

multiply both sides by 5

50 laps: 30 minutes

What is the final cost of an item priced at $5.70 after a 7% sale tax is applied

Answers

Answer:

the total is $6.10 once applied

and the sale tax is $0.40

Step-by-step explanation:

Assignment
os
Calculate the volunce the solid.
een

Answers

Answer:

2000ffdtsyjeauets esy siy eut aiteais6i6 es i6sei6 s3

hhkkkjbnkkiuhhbjkkkennnnnnnneeeeennnn

Whoever responds first will get marked Best!!!A tomato sauce recipe uses 986 ounces of crushed tomatoes About how many milliliters of crushed tomatoes are needed to make
the tomato sauce? (1 ounce - 29.574 milliliters)
A 125
B 66
C 2,839

Answers

Answer:

B . tell me if ya need proof

Step-by-step explanation:

What three things could happen to an organism if its environment changes?

Answers

Answer:

Plants may die because they are not used to the new environmental change.

Step-by-step explanation:

animals might lack food and water. If organisms cannot adapt to the changes in their ecosystem, they may move to another location. If they will not move, the species may become threatened, endangered or extinct.

Answer:

it could die, it good get over populated, it could get better living secumstances

Step-by-step explanation:

Find p(–4) if p(x) = x ^3 – 3x^ 2 + 7x + 6.

Answers

Answer:

p(-4) = -134

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

FunctionsFunction Notation

Step-by-step explanation:

Step 1: Define

p(x) = x³ - 3x² + 7x + 6

p(-4) is x = -4

Step 2: Evaluate

Substitute in x [Function]:                                                                              p(-4) = (-4)³ - 3(-4)² + 7(-4) + 6Evaluate exponents:                                                                                      p(-4) = -64 - 3(16) + 7(-4) + 6Multiply:                                                                                                           p(-4) = -64 - 48 - 28 + 6Subtract:                                                                                                          p(-4) = -140 + 6Add:                                                                                                                 p(-4) = -134

Pls help extra points and mark brainlist

Answers

Answer:

Rock layers only (I think this is correct from the searches I've made)

the difference of p and 7 is 30​

Answers

p - 7 = 30

thats you equation

Answer:

p = 37

p- 7=30

add seven to both sides and you get

p=37

A traveling circus with thrill rides Charge 7$ For admission $1.50 For each ride you take. If you pay $29.50 total, how many rides did you take?

Answers

Answer:

15 rides

Step-by-step explanation:

Subtract $7 from $29.50

and then divide what you got ($22.50) from $1.50

6. The figure below shows a rectangular warden that has a walkway entending
diagonally through the center. What is the approtimate perimeter of the
garden? (Gl 4 W ='')
50 ft
A) 30 it.
B) 90 ft,
C) 140 ft,
D) 1200 it,

plz help​

Answers

Answer:

C: 140ft

I hope it helps


Joyce is making sushi rolls. She needs cup of
rice for each sushi roll. How many sushi rolls
can she make if she has 3 caps of rice?
3
You can use objects or draw
e picture to find the solution

Answers

Answer:

She can make 3 sushi rolls.

Step-by-step explanation:

it's not that hard, but ok

So, if Joyce needs one cup for every sushi rolls and she has 3 cups. You just add 3 + 0, getting you 3.

Need some help with this :(
(Don’t answer if you don’t know)15 points

Answers

i agree with the person on top!

Triangle EFG undergoes a dilation centered at the origin. The result is triangle E'F'G'. Which rule describes the dilation?

A) (x, y) → (2x, 2y)
B) (x, y) → (4x, 4y)
C) (x, y) → ( 1 4 x, 1 4 y)
D) (x, y) → (−4x, −4y)

Answers

Thea answer B) (x, y) → (4x, 4y)

Answer:

B

Step-by-step explanation:

i took test

What is 3-2y+(-8y)+8.4 as a simplified expression

Answers

Answer:

-10y + 11.4

I hope this helps you out

Answer:

-10y+11.4

Step-by-step explanation:

you combine -2y with -8y to get negative -10y. Then you combine 3 and 8.4 to get 11. Variables usually come first in equations, I don't think it matters, but you might want to put them first anyway.

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