A player hits a second baseball. The second baseballs path is modeled by the function g (t) = -16(t-4)^2 + 256. Which baseball has a greater maximum height? Which baseball is in the air for the longest?

Answers

Answer 1

Answer:

1). Maximum height achieved by the baseball = 256 units

2). duration for which baseball is in the air = 8 seconds

Step-by-step explanation:

A player hits a second baseball. Path of the baseball is defined by the function g(t) = -16(t - 4)² + 256

By comparing this equation with the quadratic function,

f(x) = a(x - h)² + k

Here, (h, k) is the vertex of the given equation.

Vertex of the given equation → (4, 256)

Therefore, maximum height the baseball can each = 256 units

And time taken to reach the maximum height = 4 seconds

So the duration of time in which baseball is in the air = Time taken to reach the maximum height + Time taken to come down from maximum height

= 4 + 4

= 8 seconds


Related Questions

ILL MARK YOU THE BRAINLIST

Answers

Answer:

Decrease by 5.5 percent

1-.945 = .055

= 5.5 percent

HOW DO YOU CONVERT SURFACE AREA TO VOLUME!
HELP!!!!
WILL MARK BRAINLIST!!

Answers

Answer:

Formulas for a rectangular prism:

Volume of Rectangular Prism: V = lwh.

Surface Area of Rectangular Prism: S = 2(lw + lh + wh)

Space Diagonal of Rectangular Prism: (similar to the distance between 2 points) d = √(l2 + w2 + h2)

Step-by-step explanation:

Hope it helps :))))

in a choir the ratio of men to woman is 4:7. 25% of the men prefer classical songs, and 80% of the women prefer classical songs. What percentage of the choir prefer classical songs?

Answers

Answer:

60%

Step-by-step explanation:

percentage of men in the choir = (4/11) x 100 = 36.4%

percentage of women in the choir = (7/11) x 100 = 63.6%

Percentage of men in the choir that prefer classical songs =  36.4 x0.25 = 9.1%

Percentage of women in the choir that prefer classical songs = 0.8 x 63.6% = 50.9%

percentage of the choir prefer classical songs = 50.9% + 9.1% = 60%

please explain how to do this

Answers

When it says standard form they mean from biggest to smallest.

Jason borrows $8,000 to help pay for college. If the loan has an annual interest rate of 5.5%, how much interest would he owe at the end of two years, if he does not make any payments?

Answers

Answer:

the interest that would he owe at the end of the two years is $880

Step-by-step explanation:

The computation of the interest that would be owe at the end of two years is shown below

here we applied the simple interest formula

= Principal × rate of interest × time period

= $8,000 × 5.5% × 2

= $880

Hence, the interest that would he owe at the end of the two years is $880

using long division: x^4+7x^3+13x^2+6x-45 / x+5

Can someone please help
Please show work

Answers

Answer:

x^3+2x^2+3x-9

Step-by-step explanation:

15% of a number is 30. What is the number?
A)4.5
B)20
C)45
D)200​

Answers

15% of 200 is 30

so the answer would be D
The answer is D, 200.

Since the total percentage is 100, you would divide that by 15.

100/15=6.666...7

Then, you would multiply that by 30

6.6666...7*30=200

PLEASE HELP!!
Find the area of the triangle QRS.

Area = ______ square units

Answers

Answer:

140

Step-by-step explanation:

Area= 140 square units

Answer:

140

Step-by-step explanation:

The housing sales measured in millions of dollars, M, of a rural city, can be modeled by the function M(t) = -35cos(0.524t) + 55, where t represents the number of years since 2020. What characteristics of M(t) are true?
I. The first time the housing sales will reach their maximum will be in 2030.
II. Housing sales are expected to increase from 2020 to 2021.
III. The range is (20,90).

Answers

Answer:

It is going to be the first one.

Step-by-step explanation:

The first time the housing sales will reach their maximum will be in 2030.

Hope it helps! :)

Hope you also have a great rest of your day!


Please help!! I will award brainliest!
Question: Find the angle measures of the inscribed quadrilateral.

Answers

Answer:

[tex] m\angle A = 112 \degree [/tex]

[tex] m\angle B=95 \degree [/tex]

[tex] m\angle C =68 \degree [/tex]

[tex] m \angle D = 85 \degree [/tex]

Step-by-step explanation:

Quadrilateral ABCD is inscribed in a circle. So, ABCD is a cyclic Quadrilateral.

Opposite angles of cyclic quadrilateral are supplementary.

Therefore,

[tex]m\angle A + m\angle C = 180\degree \\ (14z - 7) \degree + (8z) \degree = 180 \degree \\ (14z - 7 + 8z) \degree= 180 \degree \\ (22z - 7) \degree= 180 \degree \\ 22z - 7 = 180 \\ 22z= 187 \\ z = \frac{187}{22} \\ z = 8.5 \\ \\ m\angle A = (14z - 7) \degree \\ = (14 \times 8.5 - 7) \degree \\ = (119 - 7) \degree \\ m\angle A = 112 \degree \\ \\ m\angle C =180 \degree - 112 \degree \\ m\angle C =68 \degree \\ \\ m \angle D = (10 \times 8.5) \degree \\ m \angle D = 85 \degree \\ \\ m\angle B =180 \degree - 85 \degree \\ m\angle B=95 \degree [/tex]

Find x. Round your answer to the nearest tenth of a degree and show work.

Answers

Answer:

35.0

Step-by-step explanation:

14+21 equals 35 and then round to the nearest tenth of a degree and came up with 35.0.

A system of three linear equations in three variables is consistent and independent. How many solutions to the system
exist?

A.None
B.one
C.three
D.infinitely many

Answers

B........................

What is the length of BC in the right triangle below? PLEASE HELP

Answers

Answer:

B. 142

Step-by-step explanation:

Answer:

14,844

Step-by-step explanation:

Use the Pythagorean theorem.

120 squared minutes 22 squared

=> 14,844

Can someone one help me pleas

Answers

Answer:

286.08

Step-by-step explanation:

Answer:

hello, your answer is 16 (a)

Step-by-step explanation:

if we remember the formula is base ×height÷2

if we plug it in its a × b÷ 2plug in the number is 8×4÷28×4= 32now divide 32 by 2

now your answer is 16

Geoffrey's babysitter stayed from 5:15 P.M. until 11:35 P.M. For how much time
does the babysitter need to be paid?
hours and
minutes

Answers

Answer:

6 Hours and 20 minutes

Step-by-step explanation:

Answer:

6hrs and 20 mins

Step-by-step explanation:

A jar contains 4 green marbles and 6 yellow marbles. Two marbles are drawn, with replacement, from the jar. What is the probability that both marbles are green?

Answers

Answer:

If there are a total of 10 marbles in jar, then It´s a 4/10 chance you get two marbles that are green

Step-by-step explanation:

Write an explicit formula for the following sequences.
-4, -6, -8, -10...

Answers

Answer:

tn=-2n-2

hope this helps :)

URGENT
Which of the following statements is true? Select all that apply.

Answers

Answer:

C is true also

Step-by-step explanation:

You've decided you want a plant for your room. At the gardening store, there are 444 different kinds of plants (tulip, fern, cactus, and ficus) and 444 different kinds of pots to hold the plants (clay pot, plastic pot, metal pot, and wood pot).
If you randomly pick the plant and the pot, what is the probability that you won't get a clay pot or a cactus?

Answers

Answer:

there is a 1/4 chance you will not get a clay pot and a 1/4 chance you will not get a cactus

Step-by-step explanation:

Answer:

9/16 from khan academy

Step-by-step explanation:

Find the area of each circle. Use 3.14 for the value of pi. Round your answer to the nearest tenth. Do NOT include units in your answer (ie. ft, in, km, etc.) (FR)

Answers

Answer:

12.6

Step-by-step explanation:

The equation for a circle's area is [tex]A=\pi r^2[/tex].

We can use this equation to end up with A=(3.14)4

And 3.14 times 4 is 12.56.

Then we have to round to the nearest tenth.

Therefore your answer is 12.6

Hope this helped! :)

4. Vince is buying apples for his horse. Which of these options has the
lowest unit cost?
A. 5 apples for $2.50
c. 12 apples for $7.20
B. 8 apples for $4.40
D. 1 apple for $0.52
(Z.RP.A.1
usina
Alions of as How

Answers

Answer:

option A. 5 apples for $2.50

Step-by-step explanation:

You must find the price per apple for each option by dividing the cost in cents by the number of apples. 250 cents divided by 5 apples gives you 50 cents per apple, while option c is 55 cents per apple, option b is 60 cents per apple, and option d is 52 cents per apple.

if a rectangular square pyramid has the square base of 3in and the height of 4 in, what is the volume?

Answers

Volume of a pyramid = Length x width x height / 3

A square base means both the length and width are the same.

Volume = 3 x 3 x 4 /3 = 12 square inches.

Answer:

12in^3

Step-by-step explanation:

v = (1/3) b^2 * H

b^2 = base length^2

(1/3) 3^2 * 4 = 12

1/3 of 9 = 3 x 4 = 12

Find the 30th term of the following sequence:
288, 144, 72, 36....

Answers

put the formula of sequence up to 30term

Draw the graph of the equation: 1.5x+2y=3

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: See graph below!

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

The graph of the given equation is attached to the solution.

What is graph?

In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.

Given is an equation, 1.5x+2y = 3 we need to graph it,

So, first finding the coordinates,

1.5x+2y = 3,

Put x = 0

y = 1.5 [0, 1.5]

Put y = 0

x = 2 [2, 0]

Putting the coordinates on the graph and connect them, the line obtained will be the graph of the equation,

Since, the equation is linear the graph will be a straight line,

Learn more about graphs, click;

https://brainly.com/question/17267403

#SPJ2


What is the answer to this question i am very confused on how to solve this equation

Answers

Answer:

3,925 feet ^2

Step-by-step explanation:

75 ft

80*

A = pi*r^2

pi * 75^2 = 17662.5

80/360 = 2/9

17662.5 * (2/9) = 3925

Please help thank you

Answers

Answer B / 77. You need to look at where the line in the rectangle is protruding. Its marked that the line is aiming towards 77 on the graph.

PLEASE GOD HELP ME THE FIRST GOOD ANSWER WILL BE MARKED BRAINIEST

Answers

Answer:

m∠BAC = 52°  or theta = 52°

Step-by-step explanation:

I am guessing that you are trying to find m∠BAC ( which is theta)

(1)  The measure of an inscribed angle is 1/2 the measure of the intercepted arc

measure of arc BC is twice the measure of ∠CDB

measure of arc BC = 2(26) = 52

(2)  The measure of a central angle equals the measure of the intercepted arc.

m∠BAC = 52°

Note:  You need to remember statements (1) and (2) to help you with this type of problem.  OK?

Calculate the number of degrees in one interior angle of a regular 44-gon.

Answers

Answer:

7560

Step-by-step explanation:

 

 

please help with math!!

Answers

Answer:

1375

Step-by-step explanation:

10*25+15*75 = 1375

Please help I am struggling so bad

Answers

9514 1404 393

Answer:

  3.14 units

Step-by-step explanation:

The formula for the length of an arc is ...

  s = rθ

where r is the radius of the circle, and θ is the central angle in radians.

__

The relationship between degrees and radians is ...

  180° = π radians

If we divide this equation by 3, we see ...

  60° = π/3 radians

__

The radius is given as 3 units, so the arc length is ...

  s = (3 units)(π/3) = π units

The arc length is 3.14 units.

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