ASSISTANCE PLEASE
The path of a projectile
launched from a 16-ft-tall tower
is modeled by the equation
y = −16x2 + 64x + 16. Graph the
equation. What is the maximum
height, in feet, reached by the
projectile?

(On a graph)

Answers

Answer 1

Answer:

The maximum height reached by the projectile is 80 feet

Step-by-step explanation:

The given equation of the path of the projectile is y = -16·x² + 64·x + 16

Where;

y = The height in feet, reached by the projectile (Assumption)

x = The time it takes the projectile to reach the height, y (Assumption)

The shape of the given equation of the path of the parabola is that of a parabola turned upside down.

We have that the maximum height is given by the top of the curve where the curve changes direction, and the slope = 0

Therefore, we have;

[tex]Slope = \dfrac{\mathrm{d} y}{\mathrm{d} x} = \dfrac{\mathrm{d} \left (-16\cdot x^2 + 64\cdot x + 16 \right )}{\mathrm{d} x} = -32 \cdot x + 64 = 0[/tex]

Therefore, at the maximum point, the slope is -32·x + 64 = 0

∴ x = -64/(-32) = 2 at the maximum point

The height at the maximum point = The maximum height, [tex]y_{max}[/tex], is found by finding the value of y (the height) at x = 2 (the value of x at the maximum point)

Therefore, we have;

[tex]y_{max}[/tex] = -16 × 2² + 64 × 2 + 16 = 80 feet

The maximum height reached by the projectile, [tex]y_{max}[/tex] = 80 feet.

ASSISTANCE PLEASEThe Path Of A Projectilelaunched From A 16-ft-tall Toweris Modeled By The Equationy
Answer 2

Answer:

The maximum height reached by the projectile is 80 feet

Step-by-step explanation:


Related Questions

The PTA is trying to raise money for an end of the year carnival for a local
school. They are selling t-shirts, s, for fundraisers. Their revenue equation is
represented by the equation below. As a reminder, the revenue equation
describes how much money is brought in during the fundraiser: r(s) = - .1552 + 30s

Answers

;Answer:

The answer is below

Step-by-step explanation:

The PTA is trying to raise money for an end of the year carnival for a local

school. They are selling t-shirts, s, for fundraisers. Their revenue equation is

represented by the equation below. As a reminder, the revenue equation

describes how much money is brought in during the fundraiser: r(s) = - .1552 +30s

Their expenses equation is represented by: e(s) = 3s + 200.

A. Find the value of r(s) = e(s)

I

B. Explain what this means in the context of the problem.

Solution:

The revenue is the amount of money gotten by selling goods and products while expenses is the amount of money spent to produce the goods or products.

The revenue is given as:

r(s) = - 0.1552 +30s

While the expenses is given as:

e(s) = 3s + 200.

Since r(s) = e(s), therefore:

3s + 200 = -0.1552 + 30s

30s - 3s = 200 + 0.1552

27s = 200.1552

s = 7.4

s ≈ 7

At break even the expenses and revenue are equal to each other.

This means that if 7 t shirts are produced then the PTA would be at break even.

Point E(-5.3) and point D(-4,-3) are located on the grid. Which measurement is closest to the distance between point E and point D
in units?

Answers

Answer:

10.8 units

Step-by-step explanation:

Step-by-step explanation:

To find the distance between two points, use the distance formula.

nwjskjnsfnwkfdnmfdn gsdkjmcfnm vnndfjsngdrmdtnrnmdcvkjdfnvf

Answers

Answer:

nwjskjnsfnwkfdnmfdn gsdkjmcfnm vnndfjsngdrmdtnrnmdcvkjdfnvf

Step-by-step explanation:

Have a great day

Answer:

gshspisgsgushd surrfvereeers

Step-by-step explanation:

Solve 4(2x - 9) = 3x + 4

Answers

8x - 36 = 3x + 4
5x = 40
x = 8

Answer:

x = 8

Step-by-step explanation:

First, you distribute

4(2x)+4(-9)=3x+4

8x - 36 = 3x + 4

Subtract 3x from both sides

(8x - 3x) - 36 = (3x - 3x) + 4

5x - 36 = 4

Then add 36 to both sides

5x (-36 + 36) = (4 + 36)

5x = 40

Then divide 5 from both sides

x = 8

------------------------

Hopefully this is correct, sorry if it isn't

Use the figure for Exercises 13-15. Find the measure of the given angle.
112°
430
33°
1710
b
15. C
13. a
14. b

Answers

Answer:

a + 112 + 33 = 180 ( sum of interior angles of tria

or a + 145 = 180 - ngle is 180 degrees)

or a = 180 - 145

or a = 35 .

similarily,

c + 43 + 71 = 180

or c + 114 = 180

or c = 180 - 114

or c = 66 .

and ,

a + 71 + b = 180 ( sum of angles in straight line is or, 35 +71 + b = 180 180 degrees)

or , b + 106 = 180

or, b = 180 - 106

or, b = 74 .

Thank me later.

the telephone company offers two billing plans for local calls. plan 1 charges 37$ per month for unlimited calls. plan 2 charges 17$ per month for plus 0.05$ per call. Use an inequality to find the number of monthly calls for which plan 1 is more economical than number 2

Answers

Answer:72

Step-by-step explanation:

Guys please hurry up I need this answer

Answers

Bro I need the answer too we’re the same

Un bloque de 2kg es trasladado a lo largo de la superficie lisa por accion de una fuerza f=40N ¿cual es el trabajo realisado por la fuerza "f"y por la fuersa de gravedad para un recorrido de 6m?

Answers

Explicación paso a paso:

Workdone = Fuerza * distancia movida en la dirección de la fuerza

Dado

Fuerza f = 40N

Distancia = 6 m

El trabajo realizado por la fuerza F es:

Trabajo hecho = 40 * 6

Trabajo terminado = 240 Nm

El trabajo realizado por la fuerza de la gravedad es el trabajo realizado por el cuerpo de 2 kg:

W = mg

W = 2 * 10

W = 20N

Trabajo realizado = 20 * 6

Trabajo terminado = 120 Nm

A bicyclist ride 1/6 miles in 1/84 hours. Write this into a unit rate.

Answers

answer:

15

Step-by-step explanation:

1/6 ÷ 1/90

(1/6)(90/1)

so in conculsion it's gonna be 15!

please tell me if im right or not.

what is 67473 divided by 32

Answers

Answer:

2108.53 I think it's that lol

x^2 - x + 6 = 0

how do I solve that?​

Answers

-23

Step-by-step explanation:

x2−x+6=0

Step 1: Find discriminant with a=1, b=-1, c=6.

b2−4ac

=(−1)2−4(1)(6)

=−23

Answer:

−23

Answer:

no solution

Step-by-step explanation

[tex]x^{2}-x+6=(x^{2}-2.\frac{1}{2}x+\frac{1}{4})+6-\frac{1}{4}=(x-\frac{1}{2})^{2}+\frac{23}{4}[/tex]

see : [tex](x-\frac{1}{2})^{2}\geq 0 => (x-\frac{1}{2})^{2}+\frac{23}{4}\geq 0+\frac{23}{4}>0[/tex]

but x² - x + 6 =0

=> it is unreasonable

The double number lines show the ratio of yards to miles.

How many yards are in 5 miles?

Answers

Find 5 on the miles number line. Determine the corresponding number on the yards number line. (It should be about 8800.)

8800

Step-by-step explanation:

Divide 3520 by 2 to get 1760

Then you multiply 5 by 1760 to get 8800

The distribution of ages of runners in a marathon is approximately normal. The oldest participant was 80 and the youngest was 13. Which of the following statements is true of the mean and median ages of the runners?

Answers

when finding the mean then add the numbers then divide them by the amount of numbers there are when finding the median find the middle number and if there is no middle number divide the 2 and that should be your mean

Answer:

The actual ages of all runners are needed to decide.

In what quadrant is the point (3, -4) located?

Answers

Answer:

quadrant IV

Step-by-step explanation:

In the image, these are where each quadrant is and labelled. If you plot ( 3,-4) on the grid, it will end up in quadrant IV.

What is the slope of this graph?
A. 4

B. −14

C. −4

D. 14

Answers

Answer:

14  is the correct answer

Step-by-step explanation:

Answer:

A.4

Step-by-step explanation:

start at the y-intercept and work down

4)
The temperature dropped 3 degrees every hour for 3 hours. Write an expression and write an
integer to represent the total temperature change.

Answers

Answer:

I think the integer that represents the change in temperature is -15.

14 minus the product of a number and 15

Answers

Answer:

14 - (y x 15)

Step-by-step explanation:

This is the number because:

1) 14 minus means 14 subtracted from the product of a number and 15

2) The product of a number and 15 is a variable multiplied with 15

3) Finally, if we put these together, we get 14 - (y x 15)

Hope this helps!

A bag contains:

4 blue marbles

2 green marbles

1 red marble

A marble is chosen at random from the bag and not replaced. Then, a second marble is chosen from the bag. What is the probability that the first marble was red and the second marble was green?

A) 1/7

B) 1/21

C) 2/49

D) 2/6

Answers

Answer:

it is ether B or D cuz

Step-by-step explanation:

4+2+1=7  marbles

(4/1)+(2/1)+(1/1)=7/21

divide 21 by 7 that would = 3

Its just the the page thats fully shown.

Note: Thank you so much for helping me out! xoxo

Answers

1) 5x-4= 11
2) 15+ 1/2x= 9
3) 7x-6= -20
4) 8+ 4x = -12
5) You have downloaded 415 songs. Your equation would be 9.99+ .25x = 113.74, and then you’d subtract 9.99 from both sides, getting you .25x = 103.75. Then you’d divide both sides by .25 to get your answer
6) She can afford 10 hours of lessons. 725= 475+ 25x, subtract 475 from both sides, leaving you with 250=25x. Then divide both sides by 25 to get your answer



I can’t read 7 and 8 very well, could you possibly get a better picture of those two?

Given f(x)=3x+9, find x when f(x)=21

Answers

Answer:

x=4

Step-by-step explanation:

First do(just do the opposite. It is +9 you do -9) 21-9=12

Second do 12÷3=4 (opposite of multiple is divided)

x=4

What is the equation of the line in slope-intercept form?




Enter your answer in the boxes y= blank x + blank

Answers

Answer:

-3 + 4

Step-by-step explanation:

Answer:

y= 3/5x + 3. You go up 3 to where the other point is, then go over 5 to reach it. The y-intercept is 3 because that 3 is on the Y axis

Step-by-step explanation:

A bike rental company charges a $5 service fee and $1 per hour. If this situation is represented as a function, what would be the slope?
Select one:

6

0

1

5

Answers

Answer:

The slope would be 1.

Step-by-step explanation:

The slope would be one becuase the equation would be y=1x+5.

Answer:

the equation would be y=x+5

so the slope is 1

Step-by-step explanation:

Select the correct answer.
Caroline is planting flowers in her garden. She plants her first 7 flowers in 4 minutes. After 12 minutes, she has planted 21 different flowers.
Which equation represents this direct variation?

Answers

The answer is B) y= 7/4x

This is because when you graph it you would go up 7 and over 4- you just had to find the rise over run. I also just made sure it was correct on edmentum!

Caroline is planting her first 7 flowers in 4 minutes and then past 12 minutes, she plants 21 different flowers. That suggests that she is planting the flowers following the given equation  y=(7/4)x.

What is dependant variable?

The dependent variable is defined as the variable whose evaluation of the independent variable determines the quality of the dependent variable. That is, it is consistently claimed that the word variable's estimate depends on the mathematical condition's free variable.

How to solve it?

Let Caroline plant y flowers in x minutes.

By using the unitary method we can observe that

4 minutes  → 7 flowers

⇒ 1 minute → 7/4 flowers

⇒ x minutes → (7/4)x flowers

Hence, Caroline is planting y=(7/4)x flowers in x minutes. And y=(7/4)x this equation represents the variation perfectly.

NOTE: We took the number of flowers planted as y because it is a dependent variable. The number of flowers depends on the time elapsed.

Learn more about the unitary method here-

brainly.com/question/23423168

#SPJ2

( Will give Brainliest Please Helpp)

Answers

Answer:

4/9 sq yard

Step-by-step explanation:

Answer:

the answer is 6/7

Step-by-step explanation:

Find the equation of the line.
Use exact numbers.
Y= X+
HELP ASAP

Answers

Step-by-step explanation:

using the graph, we can see that the line goes through points

(0, 5) and (3, -1)

this is all we need

[tex]y = mx + b\\ m = \frac{y_2-y_1}{x_2-x_1} = \frac{5-(-1)}{0-3} = -2[/tex]

[tex]y = mx + b\\5 = -2(0) + b\\b = 5\\y = -2x + 5[/tex]

An arts academy requires there to be 3 teachers for every 63 students and 4 tutors for every 36 students.How many students does the academy have per teacher ? per tutor ? how many tutors does the academy need if it has 63 students ?

Answers

Can you take the picture of the actual question?
Do the answer would be 15

A 10 foot ladder leans against a building that is 8 feet off of the ground. At what height would a 25 foot ladder touch the building if both ladders form the same angle with the ground?

Answers

Answer:

19.99feet

Step-by-step explanation:

The set up will form a right  angles triangle:

First we need to get the angle of elevation of the first ladder using SOH, CAH, TOA

The length of the ladder will be the hypotenuse = 10foot

The opposite will be the height of the building = 8ft

Using Sin(theta) = opposite/hyp

sin Theta = 8/10

theta = sin^{-1}0.8

theta = 53.13°

If the length of the ladder is now 25 foot, the height of the building will be calculated as shown;

sin Theta = h/25

sin53.13 = h/25

h = 25sin53.13

h = 19.99feet

Hence the height of the building will be 19.99feet

Paulo has 39 patches from states he and his relatives have visited he wants to pin the onto a board and arrange them equally in 3 rows how many patches will be in each row

Answers

Given:

Total number of patches = 39

Total number of rows = 3

To find:

The number of patches in each row.

Solution:

We have,

Total number of patches = 39

Total number of rows = 3

We need to divide the total number of patches by total number of rows to find the number of patches in each row.

[tex]\text{Number of patches in each row}=\dfrac{39}{3}[/tex]

[tex]\text{Number of patches in each row}=13[/tex]

Therefore, the number of patches in each row is 13.

I need help w/ math Fractions

Answers

Answer:

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

−3/8÷−11/4

Applying the fractions formula for division,

=−3×4 / 8×−11

=−12/88

Simplifying -12/-88, the answer is

=3/22

HELPPPPP!!! FIND VALUE OF A PLEASE!!
WILL MARK BRAINLIEST!!
A line with a slope of -2 passes through point (2,5) and (-3,A)
What is A????

-10
10
-15
15

THANK UUU!!

Answers

Answer:

A=15

Step-by-step explanation:

slope=(A-5)/(-3-2)=-2

A-5=-2×-5=10

A=10+5=15

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