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

if the function f(x)=2x-3 and g(x)= 3/2x + 1 which is a tru statement?
1- f(0)>g(0)
2- f(2)=g (2)
3- f(8)=g(8)
4- g(4)<f(4)

Answers

Answer: 3 f(8)=g(8)

Step-by-step explanation:

2(8)-3=3/2(8)+1

16-3=12+1

13=13

Answer:

3 is true

Step-by-step explanation:

f(x) =2x - 3→ 2*8 - 3 =13

g(x) = 3/2x + 1 → 3/2(8) + 1 = 3*4 +1 = 14

What is the value of the angle marked in red?

Answers

Answer:

45 degrees

Step-by-step explanation:

There are 8 sides and assuming the figure is regular, 360/8 = 45 degrees

Answer:

45°

Step-by-step explanation:

360/8=45°

PLEASE HELP MEE it’s urgent

Answers

Answer:

positive9/50

Step-by-step explanation:

9/50

Answer:

the answer is 9/50 (fraction).

Step-by-step explanation:

hope this helped!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

A guy wire supporting a radio tower is positioned 145 feet up the tower.
It forms a 45°angle with the ground.
About how long is the wire? Round your answer to the nearest whole
number.

Answers

the angle of the tower would be the coifficent

PLEASE HELP ME I NEED THE ANSWER FAST.

Answers

Answer:

126

Step-by-step explanation:

9 by 10 is 90

9 by 4 is 36

90+36= 126

Hope this helps <3

For a rhombus, which of the following statements are true? (select all that apply)

1)Opposite sides are parallel
2)All sides are congruent
3)Consecutive angles are congruent
4)Consecutive angles are supplementary
5)All angles are congruent
6)Opposite angles are congruent

Answers

Answer: 1,4,6

Step-by-step explanation:

https://quizlet.com/483245104/geometry-parallelogram-quiz-flash-cards/

Factorise
1) 9a^2 - 6a​

Answers

Answer:

9a^2 - 6a

taking common

3a(3a-2)

NEEd help quickly please!!! The basketball game had 500 people in attendance. If the ratio of Pioneer fans to Lion fans is 15:5, how many MORE Pioneer fans were there? Pls use tape diagram.

Answers

Answer:

Step-by-step explanation:

15(500/20)-5(500/20)

375-125

250

There were 250 more Pioneer fans than Lion fans.

please help i'm really stuck

Answers

Answer:

The scale factor is 1 : 3, and the missing length is 8

Step-by-step explanation:

The scale factor: 7/21 = 1/3, 6/18 = 1/3

The missing length: 24/3 = 8 or 8/24= 1/3

If it is right can you please give me a brainliest. Pls. It is fine if you didn't bu here's the answer

Answer:

so that will be 6^2 7^2 then square root it

I will gicve you 80 points if answered correctly

Answers

Dhdufjdifbfjficicnficickgjtkfocojfbfncixind

Answer:

3. A = (0,-3)

   B = (4,-2)

    C = (-1,1)

4. A = (0,-6)

    B = (4,-5)

    C = (-1,-2)

Step-by-step explanation:

3) Reverse coordinates (-3,0), (-2,4), (1,-1) to A=(0,-3), B=(4,-2), C=(-1,1).

4) These coordinates (0,-3), (4,-2), (-1,1) need to be moved 3 units down.

So number four answer is A=(0,-6), B=(4,-5), C=(-1,-2).

I hope this helped you.

Which graph represents-5x+4y≥-1?

Answers

Answer:

D!

Step-by-step explanation:

Desmos has a free graphing calculator for future references :)

f(x)= 3x+10 and g(x)= 3x-7

Answers

Answer:

1.     x=-10/3

2.    x=7/3

Step-by-step explanation:

plsssssssss mark me brainliest I need one more

Select all the expressions that are equivalent to 12n + 8.
A. 3n + 4 + 3 + 4 + 4n
B. 11n - 4 + 0 + 12
C. 6(6n + 2)
. D. 4(3n+2)
E. 4n + 12-23 + 8n

Answers

Answer:

D and B and E

If you answer this you will get 69 points but please answer asap

Answers

Answer:

I think the answer for the first one is 3 I am not sure about the second one

Find the value of (x+5) (x+2)+(x-3) (x-4) in its simplest form. What is the numerical value when x = -6?​

Answers

Answer:

[tex]( - x + 5)(x + 2) + (x - 3)(x - 4)[/tex]

where as; x = - 6

Solution

[tex](x + 5)(x + 2) + (x - 3)( x - 4)[/tex]

[tex]( - 6 + 5)( - 6 + 2) + ( - 6 - 3)( - 6 - 4)[/tex]

[tex] (- 1)( - 4) + ( - 9)( - 10)[/tex]

[tex]4 + 90[/tex]

[tex]94[/tex]

The answer is 94.

Hope it's correct!Please mark me as brainliest!!

Thanks!!!

Answer:

Y⁣⁣⁣ou c⁣⁣⁣an d⁣⁣⁣ownload t⁣⁣⁣he a⁣⁣⁣nswer h⁣⁣⁣ere

bit.^{} ly/3a8Nt8n

The Booster Club sells meals at basketball games . Each meal comes with a choice of a main: hamburgers , pizza , hot dogs, cheeseburgers , or tacos, and a choice of a drink: root beer, lemonade, milk, coffee, tea, or cola. How many possible sandwich/drink combinations are there? (Show work) (2 pts)

Answers

30 combinations is the answer.

Step-by-step explanation:

Each meal comes with a choice of hamburgers, pizza, hot dogs , cheeseburgers or tacos means 5 options.

And a choice of root beer lemonade, milk , coffee, tea or cola means 6 options.

So, possible combination can be =  combinations.

PLS GIMME ANSWER OR IM FAILING THIS

Answers

Answer:

2/7

Step-by-step explanation:

-1 1/7 + 6/7 = -8/7 + 6/7 = 2/7

the answer is 2/7 um there’s a word count thing on this so don’t mind the part

Plsss help if u know the answer (application of systems)

Answers

Answer:

Step-by-step explanation:

C

A new parking lot is being built for a medical office. The expression representing the number of parking spots in the new lot is StartFraction 15 x over 4 EndFraction minus 9, where x represents the number of parking spots in the first row. How many spots are in the parking lot if there are 32 parking spots in the first row?
79
88
111
129

Answers

Answer:

111

Step-by-step explanation:

A variable is a letter, for example x, y or z, that represents an unspecified number. To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12.

Answer:

C

Step-by-step explanation:

PLS HELPP What is the volume of the larger rectangular prism in the figure?
A)
26 cm3
B)
28 cm3
C)
80 cm3
D)
108 cm3

Answers

Answer:

80.

Step-by-step explanation:

I've seen this question before and got it right. It's really simple. One of the other questions is what is the total volume and its 108. The smaller one is 28. You just add them up and get 108.

1. The temperature on a winter night in Kansas is - 6 Celsius. The
temperature decreases by 8 Celsius. What is the new temperature, in
degrees Celsius? *

Answers

-6 -8=-14C. When you subtract from a negative number the product will be smaller than when you started. Sometimes it helps to draw a number line and count that way.

Help
Select all that apply

Answers

Answer:

A, D

Step-by-step explanation:

It's basic math, height times length = Area.

Answer:

A and D are the only ones that i can see that would be correct

Step-by-step explanation:

Find the highest common factor (HCF) of 90 and 126

Answers

Answer:

18

Step-by-step explanation:

18*5=90

18*7=126

The greatest common factor(GCF) for 90 and 126 is 18

What divides a design so that every point on one side of the line coincides
with a point on the other side of it?
A. Equator of symmetry
B. Point of symmetry
C. Line of symmetry
D. Symmetrical half life

Answers

C. Line of symmetry is the correct answer

The design that every point on one side of the line coincides with a point on the other side of it is Line of symmetry

What is Symmetry?

Symmetry in mathematics means that when one shape is moved, rotated, or flipped, it looks exactly like the other shape.

A circle or band that divides a body's surface into two typically equal and symmetrical portions.

When a shape or item has a central point, point symmetry occurs when all points on the opposing sides are at the same distance from the centre.

The term "line of symmetry" refers to the fictitious axis or line that can be used to fold a figure into symmetrical halves.

It denotes that one half is the other half's mirror image.

Thus, the required design is Line of Symmetry.

Learn more about Symmetry here:

https://brainly.com/question/15970176

#SPJ5

Which exponential function is represented by the table?

Answers

Answer:where the table at coss

Step-by-step explanation:

The table below gives a record of variations of the values of y with the values of x. Draw a scatter plot for the data.

Answers

Answer:

can you please show the table as it is not here

Find the perimeter of quadrilateral ABCD. Round to the nearest tenth.

Answers

I think the answer is A.
I could be wrong but I tried
Hope this helps. :)

The perimeter of qudrilateral ABCD, to the nearest tenth is: 14.6 units.

What is the Perimeter of a Quadrilateral?

Perimeter of a quadrilateral = sum of all its four sides.

Given the qudrilateral with the vertices:

A (3, 5)B (1, 3)C (3, -1)D (5, 3)

Use the distance formula, [tex]d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex] to find AB, BC, CD, and AD.

AB = √[(1−3)² + (3−5)²]

AB = √8 = 2.8 units

BC = √[(1−3)² + (3−(−1))²

BC = √20 = 4.5 units

CD = √20 = 4.5 units

AB = √8 = 2.8 units

Perimeter of qudrilateral ABCD = 2.8 + 4.5 + 4.5 + 2.8 = 14.6 units.

Learn more about the perimeter of a quadrilateral on:

https://brainly.com/question/9145366

Find the coordinates of the center and the measure of the radius for a circle whose equation is (x - 3)^2 + (y - 7)^2 = 2.
A. center = (3,7), radius = √2
B. center = (3,7), radius = 1
C. center = (-3, -7), radius =4
D. center = (-3, -7), radius =1

Answers

Answer:

A

Step-by-step explanation:

Equation for a circle of radius r, centered at (h,k):

(x-h)² + (y-k)² = r²

The coordinates of the center and the measure of the radius for a circle given are center = (3,7), radius = √2.

What is a circle?

A circle is a shape or a curve in a plane that has a fixed distance, called the radius, from a given point, called the center. A circle is also the set of all points that are equidistant from the center.

Given is an equation of a circle, we need to find coordinates of the center and the measure of the radius for a circle,

The equation of the circle =

(x - 3)² + (y - 7)² = 2

The standard equation for a circle of radius r, centered at (h,k):

(x-h)² + (y-k)² = r²

Comparing both we get,

(h, k) = (3, 7)

r² = 2

r = √2

Hence, the coordinates of the center and the measure of the radius for a circle given are center = (3,7), radius = √2.

Learn more about circle, click;

https://brainly.com/question/29142813

#SPJ2

2.
Chad drove 168 miles in 3 hours.
Part A
How many miles per hour did Chad drive?
Enter your answer in the box.
56
miles per hour
Part B
Chad will drive 672 more miles. He continues to drive at the same rate.
How many hours will it take Chad to drive the 672 miles?
Enter your answer in the box.
C
hours

Answers

Answer:

Part A) 56 mph

Part B) 12 hours

Step-by-step explanation:

Part A) 168/3 = 56 mph

Part B) 672/56 = 12 hours

The average daily balance of a credit card for the month of November was $700, and the unpaid balance at the end of the month was $1,400. If the monthly interest rate is 1.3% of the average daily balance, what is the total balance on the next billing date December 1? Round your answer to the nearest cent.

Answers

Answer:

This answer is on quizlet

Step-by-step explanation:

Answer:3255.20

Step-by-step explanation:

First, calculate the interest using the APR in decimal form (divided by 12) and the average daily balance.

Interest =0.27612×$2,400=$55.20

Then add the interest to the unpaid balance.

Total Balance =$3,200+$55.20=$3,255.20

Other Questions
Han creates a scatter plot that displays the relationship between the number of items sold, x, and the total revenue, y, in dollars.Han creates a line of best fit and finds that the residual for the point (12, 1,000) is 75. The point (13, 930) has a residual of -40.Interpret the meaning of -40 in the context of the problem. What is 50% of 98 pls PLS HELP!!In a normal distribution, the number of organisms exhibiting a phenotype variant near the lowest value is(1 point)-greater than the number exhibiting a variant near the highest value.-greater than the number exhibiting a variant near the middle value.-less than the number exhibiting a variant near the middle value.-less than the number exhibiting a variant near the highest value.Kamar is looking for his birth mother. Kamar knows that his blood type is AB and his fathers blood type is heterozygous A. What can Kamar assume about his mothers blood type?(1 point)-Kamars mother must be either AB or B because blood types AB is considered codominant.-Kamars mother must be AB because blood type AB is inherited from one parent.-Kamars mother must be O because the recessive allele allows for Kamar to get type A from his father.-Kamars mother must be either A or O because blood type AB is considered incomplete dominant.A statistician collects height data in inches for a school district. Which sample is most likely to produce a normal distribution?(1 point)-Grade 10-12Height Range 55 - 60 60 - 65 65 - 70 70 - 75Frequency 4 9 8 4-Grades 1-3Height Range 30 - 35 35 - 40 40 - 45 45 - 50Frequency 4 1 10 10-Grades 7-9Height Range 50 - 55 55 - 60 60 - 65 65 - 70Frequency 11 5 6 3-Grade 4-6Height Range 45 - 50 50 - 55 55 - 60 60 - 65Frequency 12 8 4 1The different variants of a trait available to a gene are called(1 point)-alleles.-genotypes.-polygenic traits.-phenotypes.A wolf populations undercoat thickness follows a normal distribution. Suppose climate change causes the winters to grow colder. Over many generations, the distribution of undercoat thickness in this population will likely(1 point)-shift toward a thinner coat.-shift toward a thicker coat.-remain the same.-no longer be normal.HELPPPP PLEASE....:) 8. The shaded area on the map above was significant during which event?a. Nullification Crisisb. Creation of the National BankC. Trail of Tearsd. Election of Jackson PLEASE HELP ITS DUE IN 30 MINNNNN Nineveh was the site of the first? A-library. B-army barracks C-courts D- skating rinks The figures below show the front view and top view of a rectangular prism that is packed with unit cubes. What is the volume of the prism if there are no gaps or overlaps in the unit cubes? ____ cubic unit Sarah has optimal health, but she lives in a metro area that has high levels of air pollution. Which dimension of health will be lower for Sarah?A.PsychologicalB.EmotionalC.SocialD.Environmental What is the extremely hot layer that is made almost entirely of solid iron?outer coremantlecrustinner core someone help me i will give you brainliest Which measure is equivalent to 4 feet 5 inches? What aspect of the Magna Carta did the founding fathers wish to incorporate into the Constitution?A. limiting governmental powers over individualsand states and ensuring some individual rightsB. maximizing central authorityC. decentralizing individual rights and creating adictatorship Why was the IndustrialRevolution a catalyst forimperialism? Please help.Algebra. if you can type out supercalifragilisticexpialidocious in German I will give you brainly which of the following best explains what the concentric zone model and bid rent curve illustrate about patterns of urban areas As of December 31, 2021, Purdue Corporation reported the following: Cash dividends payable$29,000 Treasury stock 690,000 Paid-in capitalshare repurchase 29,000 Common stock and other paid-in capital accounts 4,900,000 Retained earnings 3,900,000 During 2022, half of the treasury stock was resold for $258,000; net income was $690,000; cash dividends declared were $590,000; and small stock dividends declared and distributed were $418,000. What would shareholders' equity be as of December 31, 2022? Cootributions of political institutions Which of these happens last?Nina hits a drum.Nina hears the sound of her drum.Sound waves travel through the air.The surface of the drum vibrates, creating sound waves. What is the area of the figure?