A ball is thrown from an initial height of 4 feet with an initial upward velocity of 30ft/s. The balls height h (in feet) after t seconds is given by the following. H=4+30t-16t^2n

Answers

Answer 1

The maximum height of the ball is at 18.0625 feet which occurs at 0.9375 s

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Let h represent the height of the ball after t seconds, hence:

h(t) = 4 + 30t - 16t²

The maximum height is at h'(t) = 0, hence:

h'(t) = 30 - 32t

-32t + 30 = 0

t = 0.9375 s

h(0.9375) = 4 + 30(0.9375) - 16(0.9375)² = 18.0625 feet

The maximum height of the ball is at 18.0625 feet which occurs at 0.9375 s

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Related Questions

Write an equation of the line with the given slope and y-intercept.
slope: 1
y-intercept: -6
Help

Answers

y=1x-6; The equation is y=mx+b, you would plug in the slope for m and the y-intercept for b. Hope this helps.

PLS HELP I NEED HELP

Answers

Answer:

8

Step-by-step explanation:

A company has borrowed $50000 at 10% compounded quarterly. The debt is amortized by equal payment each quarter ove 15 years. Find the quarterly payments and how much interest will be paid?
A company has borrowed $50000 at 10% compounded quarterly. The debt is amortized by equal payment each quarter ove 15 years. Find the quarterly payments and how much interest will be paid?

Answers

7500000 is interest will pay quarterly .

What do compound and simple interest mean?

Simple Interest is the amount returned for using the borrowed funds over a predetermined amount of time. When the total principal amount surpasses the payment due date and the interest rate over a certain period of time, this is known as compound interest. S.I. = (P, T, and R) x 100 is the formula.

p = $50000

r = 10%

t = 15 years

interest  =  50000  * 10 * 15 /100

               = 7500000

Learn more about Simple Interest

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For a scavenger hunt, Jim's mom distributed a bag of 875 jelly beans evenly into 25 plastic containers and hid them around the
yard. If, after the hunt, Jim has a total of 385 jelly beans, then how many of the plastic containers did he find?
OA.
15
ОВ.
275
OC.
11
490

Answers

Answer:

C. 11

Step-by-step explanation:

the answer is C. 11

A housepainter mixed 5 gal of blue paint with every 9 gal of yellow paint in order to make a green paint. What is
a ratio of gallons of blue paint to gallons of yellow paint that will make the same shade of green paint?

a. 25:45
b. 15:45
c. 25:27
d. 20.54

Answers

Answer:

A

Step-by-step explanation:

5:9 is the original ratio.

we know that anything times 5 would have the ones place of either 5 or 0 so we can eliminate c and d. Then we test out the other two choices.

25/5=5

45/9=5

A is correct.

15/5=3

45/9=5

Option B is incorrect.

so, the ratio is 25:45

The answer is A!

una escalera recostada de la pared , con el piso si la escalera mide 8' y la distancia de la base a la pared es de 6'. Halla el ángulo que forma la escalera

Answers

Answer:

me no espanol 24

Step-by-step explanation:

srry

Find the measure of the missing angle.

Answers

Answer:

36 degrees

Step-by-step explanation:

The whole angle is 99. The known angle is 54. Take 54 from 99 and it's 36.

Hope It Helps

Sorry If I'm Wrong

HELLPP
Find the slope of the line?

Answers

Answer:

-1/7

Step-by-step explanation:

If you count up once, for the y-value, then count over 7 times for the x-value, you get 1/7, rise over run.

Then, if you see the slope going backwards, you can see it is negative. Therefor, we get -1/7 for the slope.

Eric buys a pack of 36 chocolate bars. He gives one chocolate bar everyday to each of his best friends, Josh and Brian. Write the equation that shows the number of chocolate bars (y) he has left after x days. *

Answers

Answer:

36-1x

Step-by-step explanation:

plz let me know if I'm right

Answer: 36-1x. Explanation: he is obese

What form of a linear equation is y - 6 = -4(x + 2) ?

Answers

Answer:

Point slope form

Step-by-step explanation:

Given

[tex]y - 6 = -4(x + 2)[/tex]

Required

Determine the form of linear equation

A linear has just three forms:

1. The slope intercept form.: This is always in form of [tex]y = mx + b[/tex]

2. The point slope form: This is always in form of [tex]y - y_1 = m(x - cx_1([/tex]

2. The standard form: This is always in form of [tex]Ax + Bxx = c[/tex]

By comparison, the three forms with the question, we can see that option B answers the question.

A given line has the equation 10x+2y=-2 .
What is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0,12)?

Answers

Here’s the correct answer and how I got the answer :)

Answer:

y=1-5x

Step-by-step explanation:

10x+2y=2

add subtract 10 from both sides

10x+2y=2

-10x. -10x

so now the equation should look like

2y=2-10x

then after that you have to get the Y variable alone so you have to divide everything by 2

2y÷2 = 2÷2 - 10x÷2

After you divide every term by 2 you slope intercept should be

y= 1-5x

please correct me if I am wrong

Calculate the median of the dataset 5, 10, 12, 4, 6, 11, 13, 5

Answers

Answer: 8

Step-by-step explanation:

Median is the middle number of the set of numbers (layed out smallest to biggest)

4, 5, 5, 6, 10, 11, 12, 15

There are 8 numbers meaning the middle numbers are 6 and 10, so inbetween 6 and 10 is 8 so the median is 8

Step-by-step explanation:

Median = 8

Have a good day..

i need to find tan−1(0.8391) for my math test

Answers

The value of the trigonometric function tan⁻¹ ( 0.8391) is 40°.

We are given an trigonometric function:

tan⁻¹ ( 0.8391).

We need to find the value of the function.

Let the function be equal to x.

tan⁻¹ ( 0.8391 ) = x

Now, we can also write it as:

tan x = 0.8391

We need to find an value of x that gives 0.8391 when tan function is applied to it.

So, we get that:

x = 40°

Therefore, the value of the trigonometric function tan⁻¹ ( 0.8391) is 40°.

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Item 1
Workers install 840 chairs at a constant rate. After 8 days, the workers still have to install 360 chairs. How much time does it take to install the chairs from start to finish?

Answers

It took them 4 days to install 480 chairs which means if they were working at a constant rate they got 120 chairs installed daily. with 360 chairs left that means in 3 days they will finish. so overall, it took the workers 7 days to finish, or a week.

Which matrix represents the solution to this system of equations?

Answers

Answer:

1. b

Step-by-step explanation:

Answer:

b is correct

Step-by-step explanation:

took the test sorry bad at explaining

I really need some help with this!

Answers

Answer:

The answer correct is B

Answer: B

Step-by-step explanation:I hope this helps :)

Measures of Position
13
on 14
stion 15
K
estion 16
Points: 0.43 of 1
A certain brand of automobile tire has a mean life span of 34,000 miles and a standard deviation of 2,350 miles. (Assume the life spans of the tires have a bell-shaped distribution.)
For the life span of 37,000 miles, z-score is 1.28
(Round to the nearest hundredth as needed)
(a) The life spans of three randomly selected tires are 33,000 miles, 37,000 miles, and 32,000 miles. Find the z-score that corresponds to each life span.
For the life span of 33,000 miles, 2-score is -0.43
(Round to the nearest hundredth as needed)
Question 16, 2.5.49
Part 5 of 5
For the We span of 32,000 miles, z-score is -0.85
(Round to the nearest hundredth as needed)
According to the z-scores, would the life spans of any of these tires be considered unusual?
O Yes
No
elp me solve this View an example
(b) The We spans of three randomly selected tires are 29,300 milles, 38,700 miles, and 34,000 mes. Using the empirical rule, find the percentile that corresponds to each life span
The Me span 29,300 miles corresponds to a percentile of
The Me span 38,700 miles comesponds to a percentile of
The Me span 34,000 miles corresponds to a percentile of
Get more help-
CO
DELL
a'
|
5 1. (1) More
Clean

Answers

If the mean span of automobile tires is 34000 miles and standard deviation is 2350 miles then the z scores that corresponds to the life spans of sample showing 33000 miles,37000 miles and 32000 miles are -0.4255, 1.2766 and -2.1277.

Given that mean span of automobile tire is 34000 miles and standard deviation is 2350 miles.

We are required to find the z score of the sample of 33,000 miles, 37,000 miles, and 32,000 miles.

A z-score basically gives us an idea of how far from the mean a data point is.

Z=(X-μ)/σ

In our case we have to find the mean of life span of three samples.

For the life span of 33000 miles,

Z=(33000-34000)/2350

=-1000/2350

=-0.4255

For the life span of 37000 miles,

Z=(37000-34000)/2350

=3000/2350

=1.2766

For the life span of 32000 miles,

Z=(32000-37000)/2350

=-5000/2350

=-2.1277

Hence if the mean span of automobile tires is 34000 miles and standard deviation is 2350 miles then the z scores that corresponds to the life spans of sample showing 33000 miles,37000 miles and 32000 miles are -0.4255, 1.2766 and -2.1277.

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Only first part of the question is understandable.

please help please help

Answers

Answer:

i read the question but i really don't know the answer
35x should be your answer to that if not then i wasnt taught correctly

Jenny puts 8 stickers on each page of her notebook she uses 72 stickers in. which equation can be used to find the number of pages of stickers in Jennys notebook

Answers

8 times(x)=72 , is what i believe it is

Which values of x will make the expression 6x?-54 equal to 0? Select two options.
.
5x2-20
0-3
0-2
00
2
03

Answers

Answer:

-2 abd 2

Step-by-step explanation:

Answer:

B and D

Step-by-step explanation:

pls help i give brainliest if u answer early and good

Answers

Answer:

1 - BC = 5

2 - 174 (I think, im pretty sure tho)

3- 107

Step-by-step explanation:

Lets be real chief, you aren't here to learn. Ur taking test

Also, I got those numbers based on the images. The pic was kind of blurry

plzzzzzz help me I need _____CORRECT_____ answers ASAP!!!!!!!!!! Plzzzzzz HURRY.​

Answers

Answer:

go look at my first question

Step-by-step explanation:

Tim and two of his friends were sharing an apartment and splitting the rent equally. If the rent costs x dollars per month, which expression describes how much Tim’s portion of the rent is?

Answers

Answer: (x/3)m

Step-by-step explanation:

Tim has to pay 1/3 of the rent per month

Which of the following coordinates is located in Quadrant IV?
O (-2, -4)
(4, 2)
Ο Ο Ο
(-2, 4)
(4, -2)
please answer quick!!!

Answers

Answer:

(4,-2)

Step-by-step explanation:

quadrant 4 or IV has positive x and negative y

The $40 million lottery payment that you have just won actually pays $2

Answers

Answer:

wait what is the question?

Step-by-step explanation:

??

Can yall helppp !! This is Pythagorean Theorem (Level 1) math pleaseee I need helpp :'(

Answers

the answer would be square root of 50

Answer:

sorry for spamming

Step-by-step explanation:

Indian version of brainly is a good place for cha*ting

you can also join if u wish

In AABC, AB=8, BC=10, and AC=12. Let M, N, and K be the midpoints of the sides of AABC. Find length of each side of AMNK.​

Answers

Answer:

4,5,6

Step-by-step explanation:

A midsegment connects two midpoints, and this triangle would be made up of all midsegments.  If we know that midsegments are half of the side length, then we can get our answer.

What is the difference between population parameters and estimates in a sample?

Answers

Answer:

Using that sample, you calculate the corresponding sample characteristic, which is used to summarize information about the unknown population characteristic. The population characteristic of interest is called a parameter and the corresponding sample characteristic is the sample statistic or parameter estimate.

Step-by-step explanation:

If you collect a sample and calculate the mean and standard deviation, these are sample statistics.

What's 2/3 divided by 5

Answers

2/15 as a fraction and decimal form is 0.13-

Please help! I need help fast!

Answers

Answer:

x=30

y=15

z=150

Step-by-step explanation:

take 2x+x+90=180

we get x=30

and y=15 and z=150

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