A ball is thrown straight up from the top of a building 144 ft tall with an initial velocity of 48 ft per second. The height
s(t) (in feet)
of the ball from the ground, at time t (in seconds), is given by
s(t) = 144 + 48t − 16t^2.
Find the maximum height attained by the ball.

Answers

Answer 1

Answer:

180feet

Step-by-step explanation:

Given the function that models the height of a ball

s(t) = 144 + 48t − 16t^2.

At maximum height, the velocity is zero ie. ds/dt  = 0

ds/dt = 48 - 32t

0 = 48 - 32t

48 = 32t

t = 48/32

t = 1.5secs

Get the maximum height

s(t) = 144 + 48t − 16t^2.

s(1.5) = 144 + 48(1.5)-16(1.5)^2

s()1.5) = 144 + 72 - 16(2.25)

s(1.5) = 144 + 72-36

s(1.5) = 180 feet

Hence the maximum height attained by the ball is 180feet


Related Questions

What is 9/10 as hundredths in fraction form and decimal form?

Answers

Answer:

see below

Step-by-step explanation:

9/10

To get as a fraction over 100, multiply the top and bottom by 10

9*10           90

------    = ------------

10*10          100

9/10   = 90/100

The decimal form for 9/10  is .9  and for 90/100 is .90

PLEASE HELP!!!! The problem is in the photo below.

Answers

B should be the correct answer
Agreed, it is also B

What is the distance between the points (23 , 11) and (4 , 11) in the coordinate plane?

Answers

Answer:just do 23 minus 6 and that should be the answer because the y-ccordinate is in the same place

Step-by-step explanation:

Answer: just do 23 minus 6 and that should be the answer because the y-ccordinate is in the same place

Step-by-step explanation:

Find the value of X in the equation below:
X/9 = 3.9

Answers

Answer:

35.1

Step-by-step explanation:

We can multiply both sides by 9 to get x=35.1

Step-by-step explanation:

x/9=3.9

x=3.9*9

x=35.1

What is the surface are of the box in square meters that Elizabeth decorates

Answers

Answer:

Step-by-step explanation:

Which fraction in simplest from is equivalent to 4/6?
A. 1/3
B. 1/4
C. 2/3
D. 1/3

Answers

Answer- 2/3

4/6 divided by 2/2 = 2/3 which is simplest form.

Answer:

C. 2/3

Step-by-step explanation:

To simplify 4/6 we need to divide 4 by 2 and 6 by 2.

Find the area of the triangle below.
Be sure to include the correct unit in your answer.

Answers

Answer:

Area= 1/2bh

= 1/2 ( 16)(6)

=48 square yard.

Find the value of X and Y

Answers

Answer:  x=2  y=152

Step-by-step explanation:

9x + 10 = 15x - 2   They are  corresponding angles.

       9x = 15x - 12    [Subtract 10 from the both side]

      -6x = -12           [Subtract 15x from both side]

         x = 2             [Divide -6 from both side]

(9x + 10) + y = 180  

[9(2) + 10] + y = 180

    28 + y =   180

            y = 152

Can I get help with this question?

Answers

Answer:

h well jskkkskwlejsjnekekwpwkqiwjeuehwiwnwoqmwlkwkwke just trying to get pinots. sorry

(3,-1) for the first and second point is (-4,5)

Find a.
Round to the nearest tenth:
27 cm
102°
28°
a = [? ]cm

Answers

have you got this yet ??

Answer:

44.1

Step-by-step explanation:

The sum of two numbers is 44. One number is 3 times as large as the other. What are the numbers?
Larger number:
0
Smaller number: 0
Х
5
?
Exp
Recheck
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O
The sum of two numbers is 44. One number is 3 times as large as the other. What are the numbers

Answers

Your numbers are 11 and 32

We know that:
a + b = 44
and
a = 3b

If we substitute “3b” in for a in the first equation, we get a numerical value for b

3b + b = 44
4b = 44
b = 11

Then we substitute the numerical value of b to solve for a:
a = 3b
a = 3(11) = 33

A student translated the phrase below into an algebraic expression, and then evaluated it for g = one-fourth. Is the student’s work correct? one-third more than the product of four and a number; evaluate when g = one-fourth The expression is StartFraction 4 Over g EndFraction + one-third; for g = one-fourth. StartFraction 4 Over 1 EndFraction divided by one-fourth + one-third = StartFraction 4 Over 1 EndFraction times StartFraction 4 Over 1 EndFraction + one-third = 16 + one-third = 16 and one-third. Yes, the student’s work is correct. No, the student divided the fraction incorrectly No, the student made an error when substituting. No, product means multiplication, and the student wrote a division expression.

Answers

Answer:

No, product means multiplication, and the student wrote a division expression.

D

Step-by-step explanation:

Need help please. What is the area of the shaded region. Thank you so much.

Answers

Answer:

[tex]Area = 8\ unit^2[/tex]

Step-by-step explanation:

Given

The 7 * 3 grid

Required

Determine the area of the shaded

From the grid, 4 cells on 2 rows were shaded.

Since 1 grid cell = 1 unit.

The area is:

[tex]Area = 4\ unit * 2\ unit[/tex]

[tex]Area = 8\ unit^2[/tex]

(c) Here are two numbers.
15 21
Craig says,
“Both of these number can be written as the product of two prime numbers."
Is Craig correct?
You must show how you get your answer.
(4)

Answers

Answer:

Yes

Step-by-step explanation:

15 = 3*5

21 = 7*3

3, 5 and 7 are all prime numbers.

1. What value of x make the following true? 2x + 2x + 2x + 2x = 96​

Answers

12 is your answer. If they want a second answer, -12 will also work.

2x + 2x + 2x + 2x = 96
8x = 96
x = 12

giving brainliest!
A can in the shape of a cylinder has a diameter of 6 centimeters and a height of 10 centimeters. Which measurement is donest to the total suratace area
of the can in square centimeters?

Answers

Answer:

radius r = 3 cm

height h = 10 cm

volume V = 282.743339 cm^3

lateral surface area L = 188.495559 cm^2

top surface area T = 28.2743339 cm^2

base surface area B = 28.2743339 cm^2

total surface area A = 245.044227 cm^2

In Terms of Pi π

volume V = 90 π cm3

lateral surface area L = 60 π cm^2

top surface area T = 9 π cm^2

base surface area B = 9 π cm^2

total surface area A = 78 π cm^2

Step-by-step explanation:

Agenda:

r = radius

h = height

V = volume

L = lateral surface area

T = top surface area

B = base surface area

A = total surface area

π = pi = 3.1415926535898

√ = square root

Formluas:

Cylinder Formulas in terms of r and h:

Calculate volume of a cylinder:

V = πr2h

Calculate the lateral surface area of a cylinder (just the curved outside)**:

L = 2πrh

Calculate the top and bottom surface area of a cylinder (2 circles):

T = B = πr2

Total surface area of a closed cylinder is:

A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)

A bicycle tire of radius 0.40 m and mass 1.7kg is rotating at 62.9 rad/s.
What torque is necessary to stop the tire in 2.2 s?
Answer in units of N · m.
These are the last of my points, I have been scammed by people twice, someone please help me, this is actually physics but the scammers love physics.

Answers

T = taw

T = m r² ( w₂-w₁) / t

T = 1.7 × (0.40)² (0-62.9) / 2.2

T = 1.7 × 0.16 × -62.9 / 2.2

T = -17. 11 / 2.2

T = - 7.77 N.m

How many 1/5 are in 20? Enter your answer in the bo

Answers

Answer:

4

Step-by-step explanation:

20 devided by 1/5 is 4

Internet company Gurgle is carrying out testing on the efficiency of its search engine. A sample of 31 searches have been carried out and the time taken to display the results has been recorded for each search. The mean search time for the sample was calculated as 0.2258 seconds. The standard deviation of the search times for the sample was calculated as 0.0188 seconds. The population standard deviation of search times is unknown.

1. Select all the techniques that are commonly used to construct a confidence interval for the mean when the population standard deviation (σ) is unknown:

a. Approximate the population standard deviation (σ) with the sample standard deviation (s)
b. Replace the sample size (n) with n-1
c. Decrease the confidence level to compensate for the increased margin of error
d. Approximate the standard normal distribution with the Student's t distribution

2. Calculate the upper and lower bounds of the 95% confidence interval for the mean search time for the Gurgle search engine.

Answers

Answer:

d. Approximate the standard normal distribution with the Student's t distribution

(0.2199 ; 0.2327)

Step-by-step explanation:

Given that :

Sample size, n = 31

Sample mean, xbar = 0.2258

Sample standard deviation, s = 0.0188

Confidence interval (C. I) :

xbar ± margin of error

Margin of Error : Tcritical * s/sqrt(n)

Degree of freedom, df = n - 1 = 31 - 1 = 30

Tcritical value :

T0.05/2, 30 = 2.042

Margin of Error = 2.042 * 0.0188/sqrt(31)

Margin of Error = 0.0068949

C. I = 0.2258 ± 0.0068949

Lower boundary : (0.2258 - 0.006895) = 0.2189

Upper boundary : (0.2258 - 0.006895) = 0.2327

(0.2199 ; 0.2327)

Am I doing this right?

Answers

Answer:

Yes you are

You very much are doing the right thing

A fish is swimming at a constant rate toward the ocean floor. The equation

y = -7x -3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming.

Which statement best describes the depth of this fish, given this equation? (DOK 3)

A
From a starting position of 3 meters below sea level, the fish is going down( descending) 7 meters per second

B
From a starting position of 7 meters below sea level, the fish is ascending 3 meters per second

C
From a starting position of 7 meters below sea level, the fish is descending 3 meters per second

D
From a starting position of 3 meters below sea level, the fish is ascending 7 meters per second

Answers

Answer:

A

Step-by-step explanation: the -7x represents the  7 meters the fish is going down every second and the -3 would be the fish starting at 3 meter below sea level

Jack has 1 3/5 cups of yogurt to make smoothies. Each smoothie uses 2/5 How many smoothies can Jack make with the yogurt?

Answers

Answer:

Step-by-step explanation:

(1 3/5)/(2/5)

(8/5)/(2/5)

(8/5)(5/2)

40/10

4

1 3/5 = 8/5
2/5x4 =8/5
It is 4 cups

Anyone know how to answer? need help asap

Answers

Since those sides are equal we know angle P = angle Q = 3x+ 12. Add up all the equations and set equal to 180. 180 is total degrees in triangle. Solve for x you get 14. Plug 14 into 3x+12 to get 54.

what is the difference in length between the longest meteor and the shortest meteor ​

Answers

Answer:

Please show the full problem

Step-by-step explanation:

Answer:

If this is the same question the answer is 3 1/3

Step-by-step explanation:

What is an equation of the line that passes through the points (7,4) and (-5,4)

Answers

Answer:

y=4

Step-by-step explanation:

A consumer group has determined that the distribution of life spans for gas ovens has a mean of 15.0 years and a standard deviation of 4.2 years. The distribution of life spans for electric ovens has a mean of 13.4 years and a standard deviation of 3.7 years. Both distributions are moderately skewed to the right. Suppose we take a simple random sample of 35 gas ovens and a second simple random sample of 40 electric ovens. Suppose we take a simple random sample of 35 gas ovens and a second SRS of 40 electric ovens. Which of the following best describes the sampling distribution of barXG - bar XE, the difference in mean life span of gas and electric ovens?
A. Mean = 1.6 years, standard deviation = 7.9 years, shape: moderately right-skewed.
B. Mean = 1.6 years, standard deviation = 0.92 years, shape: approximately Normal.
C. Mean = 1.6 years, standard deviation = 0.92 years, shape: moderately right skewed.
D. Mean = 1.6 years, standard deviation = 0.40 years, shape: approximately Normal.
E. Mean = 1.6 years, standard deviation = 0.40 years, shape: moderately right skewed.

Answers

Answer:

B. Mean = 1.6 years, standard deviation = 0.92 years, shape: approximately Normal.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction of normal variables:

When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

35 gas ovens

A consumer group has determined that the distribution of life spans for gas ovens has a mean of 15.0 years and a standard deviation of 4.2 years. This means that:

[tex]\mu_G = 15, \sigma_G = 4.2, n = 35, s_G = \frac{4.2}{\sqrt{35}} = 0.71[/tex]

40 electric ovens.

The distribution of life spans for electric ovens has a mean of 13.4 years and a standard deviation of 3.7 years.

[tex]\mu_E = 13.4, \sigma_E = 3.7, n = 40, s_E = \frac{3.7}{\sqrt{40}} = 0.585[/tex]

Which of the following best describes the sampling distribution of barXG - bar XE, the difference in mean life span of gas and electric ovens?

By the Central Limit Theorem, the shape is approximately normal.

Mean: [tex]\mu = \mu_G - \mu_E = 15 - 13.4 = 1.6[/tex]

Standard deviation:

[tex]s = \sqrt{s_G^2+s_E^2} = \sqrt{(0.71)^2+(0.585)^2} = 0.92[/tex]

So the correct answer is given by option b.

Houa has an action figure collection. She keeps some in a display case and the rest on
the wall. 82 of her action figures are on the wall, and 59% of her action figures are in the display case. What is the total number of action figures in Houa's collection?

Answers

Answer:

200 action figures

Step-by-step explanation:

Given

[tex]Wall = 82[/tex]

[tex]Display\ Case = 59\%[/tex]

Required

Total action films

If 59% is on a display case, then 4!% is on the wall. Let the total be x.

So, we have:

[tex]Wall = 41\% * x[/tex]

Substitute 82 for Wall

[tex]82= 41\% * x[/tex]

[tex]82= 0.41 * x[/tex]

[tex]200= x[/tex]

[tex]x = 200[/tex]

if I multiply or divide by a negative number I must reverse the inequality sign.
true or false

Answers

Answer:

True

Step-by-step explanation:

ASAP!! Which graphs have same domain?
Graphs 1 and 2
Graphs 1 and 3
Graphs 2 and 3
Graphs 1, 2, and 3

Answers

Graph 1 and 3 have the same domain

Answer:

B

Step-by-step explanation:

The question above...

Answers

Answer:

I think that its C

Step-by-step explanation:

I think it might be c because the two smaller(11,7) sides must add up to be longer than the longest side(18).And it would be the same length as the longest side,which means you wont be able to construct the triangle. (Eh my explanation wasnt that good but it is what it is)

Answer:

the answer I would say is ether B or C

Step-by-step explanation:

hope that helps

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