Mathematics High School

Ferdinand is playing golf. He hits a shot off the tee box that
has a height modeled by the function h(t) = –16t2 + 80t,
where h(t) is the height of the ball, in feet, and t is the time
in seconds it has been in the air. The graph that models
the golf ball's height over time is shown below.

When does the ball reach its maximum height?

What is the maximum height of the ball?

Answers

Answer 1

Answer:

Maximum height of the ball = 100 m

Time to reach the maximum height = 2.5 seconds

Step-by-step explanation:

Function that models the height h(t) of the ball and time 't',

h(t) = -16t² + 80t

Convert this equation into vertex form,

h(t) = -16(t²- 5t)

= -16[t² - 2(2.5t) + (2.5)² - (2.5)²]

= -16[[t² - 2(2.5t) + (2.5)²] + 16(2.5)²

= -16(t - 2.5)² + 16(6.25)

= -16(t - 2.5)² + 100

By comparing this equation with,

g(t) = a(x - h)² + k

Here, (h, k) is the vertex of the parabola.

Vertex of the given parabola will be → (2.5, 100)

Therefore, maximum height of the ball = 100 m

Time taken by the ball to reach the maximum height = 2.5 seconds

Related Questions

What is the volume of the prism?

Answers

The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm.

please no link because I can't access it when it's sent.please am asking no link

Answers

Answer:

x ≈ 1051.368672

Step-by-step explanation for #3:

[tex]tan(\frac{x}{12}) =24[/tex] Use tangent function because it relates to the opposite and adjacent sides of the triangle.

[tex]tan^{-1}(tan(\frac{x}{12}))=tan^{-1}(24)[/tex]

[tex]\frac{x}{12} = tan^{-1}(24)[/tex]

[tex]x = 12[tan^{-1}(24)][/tex]

x ≈ 1051.368672

If you have any more questions, feel free to ask and I'll answer them in the comments section under this answer. Please consider marking my answer as Brainliest, because it really helps me out.

Thanks!

19. Find x:
€ (17x-7)*
G
19
HELP W ALL 3 !!

Answers

Answer:

(17x-7)

x = 7 + 17

x = 24

The circle shown on the radius of 10 units

Answers

Diameter = 20 unitsr x 2 = d10 x 2 = 20Line CO = 10 unitsLine CO is the radius

Answer:

Dropdown 1: is 20

Dropdown 2: is 10

Step-by-step explanation:

The diameter is twice the length of the radius, so multiply 2 by 10 to get 20 as the diameter. Line CO has the same length as the radius, so it is 10.

What is the length of 7.2 ft & 9.6ft

Answers

Answer:

16.8ft !

7.2 + 9.6 = 16.8 ft .

Answer:

Step-by-step explanation:

Using Pythagorean Theorem we know that

a² + b² = c²

7.2² + 9.6² = c²

51.84 + 92.16 = 144

Then find the square root of your c and you should get 12

__________________________

Or: 7.2 + 9.6 = 16.8 ft if that's what you mean

What are the solutions to log6(x^2 + 8) = 1 +log6(x)?

X=-2 and x=-4
X=-1 and x = 8
X= 1 and X=-8
X= 2 and x=4

Answers

Answer: x = 4, x = 2

x² + 8 = 6x

Answer:

D. x=2 and x=4

Step-by-step explanation:

Hope this helps!! Have a great day!! ❤

F(x)=x^2. What is g(x)?

A. G(x)= x^2–4
B. g(x)= x^2+4
C. g(x)= -x^2-4
D. g(x)= -4x^2

Answers

Answer:

Step-by-step explanation:

I'm super sorry if I get this wrong you don't have to choose C I feel like I'm wrong but have a nice day

The radius of a sphere measures 2 units What is its surface area?
Surface area
1 square units

Answers

Answer:

A=50.265

Step-by-step explanation:

[tex]4\pi {r}^{2} [/tex]

[tex]4\pi {2}^{2} = 50.265482446[/tex]

Answer:

Step-by-step explanation:

A map uses the scale 1.5 cm=25 mi. Two cities
are 190 miles apart. How far apart are the cities
on the map?

Answers

Answer: 11.4 cm

Step-by-step explanation:

190/25 = 7.6

7.6 x 1.5 = 11.4

Answer

the two cities are 11.4 cm apart on the map

The diameter of a circle is 20 meters. What is the circumference?

Answers

Step-by-step explanation:

C≈62.83m

Using the formulas

C=2πr

d=2r

Solving forC

C=πd=π·20≈62.83185m

please solve this math problem very simple for points and if your correct you get brainly

math problem= 3x2x9+3/2-+3=?

Answers

Answer:

58 and 1/2

Step-by-step explanation:

Answer:

52.5

Step-by-step explanation:

54+3/2-3=51+3/2=52.5

answer for brainilest and 11 points

Answers

Answer:

-16/3

Step-by-step explanation:

I am not sure if you are aware of this but I am not sure if you are aware of the fact

Answer: x=-16/3

Isolate the variable by dividing each side by factors that don't contain the variable.

Can somebody plz help tell me how to find the people who surveyed like where do u find it? Thx!

WILL MARK BRAINLIEST WHOEVER CAN HELP WITH THIS :DDD

Answers

How many people surveyed is just asking you how many people took the survey so count the total amount of tally marks you did

The radius of the base of a cone is 4 inches. The slant height of the cone is
6 inches. Which is closest to the surface area of the cone?
F 75 sq in.
100 sq in.
H 126 sq in.
J 188 sq in.

Answers

Question:-

The radius of the base of a cone is 4 inches. The slant height of the cone is 6 inches. Which is closest to the surface area of the cone ?

Answer:-

Given:-

[tex] \bullet [/tex] Radius (r) of the base of a cone is 4 inches.

[tex] \bullet [/tex] Slant height (l) of the cone is 6 inches.

To Find:-

Which is closest to the surface area of the cone ?

Solution:-

We know,

Formula of surface area of a cone is πr(r + l) sq. units.

Taking value of π = 3.14

So, Surface area of the cone = 3.14 × 4(4 + 6)

Surface area of the cone = 12.56 × 10

Surface area of the cone = 125.6 sq. inches.

[tex] \because [/tex] 126 sq. inches is closest to 125.6 sq. inches.

So, option (H) 126 sq. in is correct. [Answer]

Pls explain how to do this

Answers

Answer:

3 1/12 miles

Step-by-step explanation:

[tex]6\frac{3}{4} -3\frac{2}{3} \\\\=\frac{27}{4} -\frac{11}{3}\\\\ =\frac{81}{12} -\frac{44}{12} \\\\=\frac{37}{12}\\\\=3\frac{1}{12}[/tex]

Make them into mixed fractions and then find the least common denominator (12). solve.

100 POINTS PLEASE ANSWER QUICK

Answers

Answer:

c the answer is c

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

Mark as Brainllest

Which point(s) lie on the line whose equation is - 4x + 5y - 12 = 8 Select all that apply. A (5, 0) В (- 2, 2.4) (8, 5) D (10, 12) E (0, 4)

Answers

Answer:

Options B, D and E

Step-by-step explanation:

Given equation is,

-4x + 5y - 12 = 8

-4x + 5y = 20

If a point given in the options lie on the line, point will satisfy the equation.

Option A.

For a point (5, 0),

-4(5) + 5(0) = 20

-20 = 20

False

Therefore, (5, 0) will not lie on the given line.

Option B

For (-2, 2.4)

-4(-2) + 5(2.4) = 20

8 + 12 = 20

20 = 20

True.

Therefore, (-2, 2.4) will lie on the given line

Option C

For (8, 5),

-4(8) + 5(5) = 20

-32 + 25 = 20

-7 = 20

False

Therefore, (8, 5) will not lie on the line.

Option D

For (10, 12)

-4(10) + 5(12) = 20

-40 + 60 = 20

20 = 20

True.

Therefore, (10, 12) will lie on the line.

Option E

For (0, 4)

-4(0) + 5(4) = 20

20 = 20

True.

Therefore, (0, 4) will lie on the line.

Options B, D and E are correct.

Im struggling a lot with these problems can anyone help and show the WORK please?

Answers

Answer:

Step-by-step explanation:

I'll give a couple answers so you get the gist of things.

All you have to do is substitute 1/2 for x and 3/4 for y.

Ex - 30. x × y = 1/2 × 3/4 = 3/8

What two number does the cube root of 11 lie between?

Answers

if u know what the sqare root which is 3.32 than it will lie between 2 and 4

cuanto es 1+1
respuestas originales
gracias

Answers

Answer:

Step-by-step explanation:

It’s 2

Answer:

[tex]1 + 1 = 2[/tex]

[tex]espero \: haberte \: ayudado[/tex]

ayudaaAAA DOY CORONA

Answers

Answer:

uhhhh I dont speak Spanish

3. Here are diagrams that represent 0.137 and 0.284.
tenths
hundredths
thousandths
a. Use the diagram to find the value of. Explain your reasoning.
b. Calculate the sum vertically.
0.1 3 7
0.2 8 4
+

Answers

if you’re just adding shouldn’t it be .421?

what is the problem??

Answers

Answer:

there is none

Step-by-step explanation:

12. The variable in the expression 9x + 63 is ? * A. =
B. 9
C. x
D. 36

Answers

Answer:

C. x is the variable

Step-by-step explanation:

easy...

C. X is the variable expression

Find two numbers that multiply to -36 and add to -5.

Type below no links

Answers

Answer:

-6 times 6= -36

-36 + 31 = 5

Step-by-step explanation:

given 2x - 9y - 12 = 0, express 5x - 4y + 7 = 0 in terms of x only

Answers

Answer:

[tex]4 \frac{1}{9}x[/tex] + [tex]12\frac{1}{3}[/tex] = 0

Step-by-step explanation:

Based on 2x - 9y - 12 = 0

-9y = 12 - 2x

9y = -12 + 2x

y = [tex]-1\frac{1}{3} + \frac{2}{9} x[/tex]

Therefore...

5x - 4y + 7 = 0

5x - 4([tex]-1\frac{1}{3} + \frac{2}{9} x[/tex]) + 7 = 0

5x + [tex]5\frac{1}{3}[/tex] - [tex]\frac{8}{9} x[/tex] + 7 = 0

[tex]4 \frac{1}{9}x[/tex] + [tex]12\frac{1}{3}[/tex] = 0

hiii please help i’ll give brainliest:)

Answers

Answer:

I think the answer is monarchies(D).

Step-by-step explanation:

Answer:

monarchies

Step-by-step explanation: I found my answer in quiz let so if you want to find the flashcards just look up your question in goo gle to find it have a nice day : )

The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day, 235 people entered the park, and the admission fees collected totaled 690.00 dollars. How many children and how many adults were
admitted?

Answers

Y=190
Good luck hope this helps

Julius bought F boxes of 24 plastic forks. He already had 39 plastic forks. Now, he has 135 plastic forks. How many boxes of plastic forks did Julius buy in all?

Answers

Julius bought 4 boxes of plastic forks

can anyone explain how this is done.

Answers

Answer:

The answer is C. How many 3/4 -pound molds are in 1/3 pound of sand?

Answer:

The answer is C sorry I didnt answer earlier I had to do something and left brainly open-

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