An object is launched on the moon at 16 feet per second (f/s) from a 1152-foot tall tower. The equation for the object's height s at time t seconds after launch is
s(t) = -16t^2 + 16t + 1152, where s is in feet. When does the object strike the moon’s surface and why?

Answers

Answer 1

Answer:

0.5seconds later

Step-by-step explanation:

Given the height modeled by the equation:

s(t) = -16t^2 + 16t + 1152

The velocity of the object at the moon surface is zero

ds(t)/dt = 0

ds(t)/dt = -32t + 16

0 = -32t + 16

32 t = 16

t = 16/32

t = 1/2

t = 0.5seconds

Hence the object strikes the moon surface 0.5seconds later


Related Questions

I need help I don’t understand number lines

Answers

Answer:

Well according to the number line shown, it is in the negative area and if you see this it is near -6.5, all you need to do is count the spots until it hits the circle which is -6.8

Step-by-step explanation:

Answer:

Step-by-step explanation:

- 6.8.... just count the tenths marks..  6.1,6.2,6.3... ect, ect

A line passes through the point (4, -6) and has a slope of 4. Which is the equation of the line?​

Answers

Answer:

It is even clearer if we put it in the chart

Answer the following question please

Answers

Answer:

∠MON = 98°

Step-by-step explanation:

It is given that ∠LON is a straight line.

∠MON = 3x+89

and

∠LOM = 8x+58

If LON is a straight line. It means,

∠MON + ∠LOM = 180 (Linear pair)

Putting values,

3x+89 + 8x+58 = 180

11x + 147 = 180

11x = 180-147

11x = 33

x = 3

So, ∠MON = 3(3)+89

= 9+89

= 98

Hence, the value of ∠MON is equal to 98°.

The loudness, L, of a sound (measured in decibels, dB) is inversely proportional to the square of the distance, d
from the source of the sound.
A person 14 feet from a jetski, it is 85 decibels loud.
How loud is the jetski when the person is 41 feet away? (Round to 3 decimal places.)
dB

Answers

Answer:

L = 9.91 decibels.

Step-by-step explanation:

The loudness, L is inversely proportional to the square of the distance, d, from the source of the sound.

i.e L [tex]\alpha[/tex] [tex]\frac{1}{d^{2} }[/tex]

L = [tex]\frac{k}{d^{2} }[/tex]

Where k is the constant of proportionality.

When d = 14 feet and L = 85 dB, then;

k = L x [tex]d^{2}[/tex]

  = 85 x [tex](14)^{2}[/tex]

 = 16660

k = 16660

L = [tex]\frac{16660}{d^{2} }[/tex]

Thus, when d = 41 feet, then;

L = [tex]\frac{16660}{(41)^{2} }[/tex]

  = [tex]\frac{16660}{1681}[/tex]

  = 9.91077

L = 9.91 dB

The loudness is 9.91 decibels.

The school principal is designing a square courtyard outside of the school, separated into 4
equal spaces. She wants to know the total area of the courtyard.
what is the total area if each smaller space is 5 feet on each side

Answers

Answer:

Students will gain an appreciation for the study of mathematics. In ... (I.3.6) The area of the surface of a sphere is described by the formula

Step-by-step explanation:

Correct me if I'm wrong! :)

Answer:

Its 100

Step-by-step explanation:

I took the quiz and got it right

Mario compared the slope of the function graphed below to the slope of the linear function that has an x-intercept of 1 and a y-intercept of -2.


Find the slope of both lines. In the answer box give the slope of the steeper line.

Answers

Answer:

The linear equation in the slope-intercept form will be:

[tex]y\:=\:\frac{2}{3}x+64[/tex]

Step-by-step explanation:

From the line graph, taking two points

(21, 78)(27, 82)

Finding the slope between (21, 78) and (27, 82)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(21,\:78\right),\:\left(x_2,\:y_2\right)=\left(27,\:82\right)[/tex]

[tex]m=\frac{82-78}{27-21}[/tex]

[tex]m=\frac{2}{3}[/tex]

We know that the slope-intercept of the line equation is

[tex]y = mx+b[/tex]

where m is the slope and b is the y-intercept

substituting (21, 78) and m = 2/3 in the slope-intercept of the line

[tex]y = mx+b[/tex]

[tex]78=\frac{2}{3}\left(21\right)+b[/tex]

switch sides

[tex]\frac{2}{3}\left(21\right)+b=78[/tex]

[tex]14+b=78[/tex]

[tex]b=64[/tex]

substituting b = 64 and m = 2/3 in the slope-intercept of the line

[tex]y = mx+b[/tex]

[tex]y\:=\:\frac{2}{3}x+64[/tex]

Therefore, the linear equation in the slope-intercept form will be:

[tex]y\:=\:\frac{2}{3}x+64[/tex]

Carl button airline ticket two weeks ago the cost of this flight was $300 what is the percent increase

Answers

3% is the percent increase

Tim flips a weighted coin 6 times and gets 2 tails. What is the experimental probability that the next flip will come up tails?

Answers

Answer:

1/3

Step-by-step explanation:

bc 2/6 reduces to 1/3

Decide which estimate is closer to the actual answer. Explain your reasoning as store bought 25lb of produce if store spent $110.90 about how much does the produce cost per pound in dollars? 0.04,0.4,4,40 (b) a 6 pack of juice boxes contains 54.6 oz of juice in total about how many ounces of juice does each juice box contain ? 0.9,9,90,900 (c) in 20 L of air there is about 0.42 L of carbon dioxide about how many liters of carbon dioxide are there in 1 L of air 0.02,0.2,2,20

Answers

they has to be one main number & that’s josie be less

Determine the x-intercept of the line whose equation is given: y = x/2 - 3

a. (6,0)
b. (-6,0)
c. (0, 3/2)
d. (- 3/2,0)​

Answers

Answer:

(6,0)

Step-by-step explanation:

To find the x-intercept, plug in 0 for y (because the x intercept is on the x axis) and find x.

0 = x/2 - 3

3 = x/2

x = 6

Arianna has $0.70 worth of nickels and dimes. She has 4 more dimes than nickels. By
following the steps below, determine the number of nickels, x, and the number of
dimes, y, that Arianna has.
Determine three ways to have 4 more dimes than nickels:

Who can solve this for me?

Answers

Answer:

x=2 and y=6

Step-by-step explanation:

thee isn't any other way im sorry but there isn't here is a list:

1 nickel = $0.05 and 5 dimes =$0.50 = $0.55

2 nickels = $0.10 and 6 dimes = $0.60 = $0.70

3 nickels = $0.15 and 7 dimes = $0.75 = $0.85

4 nickels = $0.20 and 8 dimes = $0.80 = $1.00

5 nickels equal $0.25 and 9 dimes equals $0.90 = $1.15

so as you can see the more you add the higher the number gets and if its any lower it won't be enough sorry if you really needed that last part

Five times the sum of a number and 7 is 3 more than the double of a number. Find the number.

Show all work.

Please I will make you BARINLIEST!

Answers

Step-by-step explanation:

5 = x + 3. The product of 2 times a number is 10. 2x = 10. One half a number is 10 x/2 = 10. Five times the sum of x and 2 5(x + 2). Seven is greater than x.

Answer:

35

Step-by-step explanation:

This is how you can solve for the missing number that is doubled: ( x )

7 = 3 + 2x

7 ( -3 ) = 3 ( -3 ) + 2x

4 = 2x

4 ( /2 ) = 2x ( /2 )

2 = x

This is how you solve for the number the question is asking for: ( y )

y = 5 ( 3 + 2x )

y = 5 ( 3 + 2 ( *2 ))

y = 5 ( 3 + 4 )

y = 5 ( 7 )

y = 5 * 7

y = 35

3x2 + 6x + 3


Factor out the GCF

Answers

Answer:

[tex]3( {x}^{2} + 2x + 1)[/tex]

Hope this helps!

BRAINLIEST TO CORRECT ANSWER!
The amount of energy taken in by a plant in the form of solar radiant energy, should be equal to the sum of the amount of energy that the plant uses in life processes such as growing and respiration.
Group of answer choices

True

False

Answers

Answer:

True

Step-by-step explanation:

In order to grow, a plant needs all the radient energy that it can get.

20 POINTS

The price of a car has been reduced from $24,000 to $14,880. What is the percentage decrease of the price of the car?

Answers

Decrease of price = $24,000 - $14,880

=> $9,120

Percentage decrease = 9120/24000×100

=> 38%

Write the ratio of height of the building to the number of floors.​ Then, find the unit​ rate, and explain what it means in this situation. Fill in the correct answers to complete the sentences.
The ratio of height of the building to the number of floors is nothing. The unit rate is nothing. This means that each floor of the building is nothing ft high.

Answers

Answer:

I love a building that's nothing feet high

Step-by-step explanation:

Can that building be my new home?

A microwave is priced at $320.50. There is a 4% sales tax rate. What is the sales tax for the microwave in dollars and cents?

Answers

Answer:

$333.32 hope this helps have a nice day please give me brainliest :)

Step-by-step explanation:

Someone help me please

Answers

Please friend I do not know

Make a table of values for f(x) after the given translation 3 units up

Answers

Answer:

In this case, we do not have the table, so i will answer in a general way:

First, let's describe the transformation.

Vertical shift.

If we have a function f(x), a vertical shift of N units is written as:

g(x) = f(x) + N

This will move the graph of f(x) up or down a distance of N units.

if N is positive, then the shift is upwards

if N is negative, then the shift is downwards.

Then a shift of 3 units up, is written as:

g(x) = f(x) + 3

This would be translated to the table in the next way:

You need to add 3 to all the values of y (or f(x)) in the table:

So if for example, the original table was:

x            f(x)

0             5

1              7

2             10

3              15

The table of the transformation will be:

x              g(x)

0              5 + 3 = 8

1               7 + 3 = 10

2              10 + 3 = 13

3               15 + 3 = 18

What is the value of x?

Answers

Answer:

the value of X is 10x

Step-by-step explanation:

How many quarts of pure antifreeze must be added to 8 quarts of a 20% antifreeze solution to obtain a 30% antifreeze solution?


(Round to the nearest tenth as needed.) ​

Answers

9514 1404 393

Answer:

  1.1 quarts

Step-by-step explanation:

Let x represent the amount to be added, in quarts. Then the amount of anti-freeze in the resulting solution is ...

  0.20(8) + 1.00(x) = 0.30(8 +x)

  0.70x = 0.10(8) . . . . . . subtract 0.20(8)+0.30(x)

  x = 8/7 . . . . . . . . . . . . . divide by the coefficient of x

  x ≈ 1.142857 ≈ 1.1

About 1.1 quarts of pure antifreeze must be added.

Which unit price is the highest?
turnips for $1.51 per pound
peppers for $1.62 per pound
carrots for $1.26 per pound
celery for $1.48 per pound
Please help me out!

Answers

Answer:peppers

Step-by-step explanation:

Answer:

peppers for $1.62 per pound

Step-by-step explanation:

i took the test

create an equivalent expression for 4t-18-t+2t+20

Answers

Answer:

5t + 2

General Formulas and Concepts:

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define Expression

4t - 18 - t + 2t + 20

Step 2: Simplify

Combine like terms (t):                    5t - 18 + 20Combine like terms (Z):                   5t + 2

Answer:

5 t + 2

That's the answer

2.25 + 65.47 + 2.333

Answers

Answer:

The answer is 70.05300.

Here's a graph of a linear function. write the equation that describes that function.

Answers

Answer:

Step-by-step explanation:

slope intercept form  =>   Y = mx + b  

find m... the slope by using any two points on the line

p1 = (0,5)  by inspection

p2=(4,6)  by inspection

find m  = y2-y1 / x2-x1

      m   = 6 - 5 / 4 - 0  

      m    =1 / 4

then use the slope intercept formula

y = 1/4x + 5      for your answer.  we know b = 5 b/c thats where the line crosses the y axis.

y = [tex]\frac{1}{4}[/tex]x + 5    is the answer

2/5 divided by 1 7/8

Answers

0.21333333333

answer:

Answer:

0.213

Step-by-step explanation:

I used a calculator :)

you can buy 3 candy bars at the quick market for 2.17. how many candy bars can you buy with 17.36?

Answers

i THINK the answer is 12. not sure sorry if it’s incorrect

will give brainliest plz help me!

Answers

Answer:

II and III

Step-by-step explanation:

A and B are similar cuboids.
surface area of A: surface area of B = 25 : 36
Work out volume of A: volume of B
A 5:6
B 125 : 216
C 25 : 36
D 625 : 1296​

Answers

Answer:

B. 125 : 216

Step-by-step explanation:

Surface area of cuboid A with side a is:

6a²

Same for cuboid B with side b:

6b²

Ratio of surface areas:

6a² : 6b² = 25 : 36 ⇒a² : b² = 25 : 36 ⇒a : b = 5 : 6

Volumes of A and B are:

a³ and b³

And their ratio is:

a³ : b³ = 5³ : 6³  ⇒a³ : b³ = 125 : 216

Correct option is B

Answer:

B. 125 : 216

Step-by-step explanation:

(1 point) Find the size of the sample needed to estimate the difference between the proportions of boys and girls under 10 years old who are afraid of spiders. Assume that we want 9595% confidence that the error is smaller than 0.03.

Answers

Answer:

The size of the sample = 1088.90

Step-by-step explanation:

Given that:

The confidence interval level = 0.95

The margin of error = 0.03

Suppose the proportion of the boys and the girls are p₁ and p₂ respectively.

The Standard error S.E of difference is:

[tex]S.E (p_1-P_2) = \sqrt{ \dfrac{p_1(1-p_1) }{n} + \dfrac{p_2(1-p_2)}{n} }[/tex]

Assume p₁ = p₂ = 0.5

[tex]S.E (p_1-P_2) = \sqrt{ \dfrac{0.5(1-0.5) }{n} + \dfrac{0.5(1-0.5)}{n} }[/tex]

[tex]S.E (p_1-P_2) =\dfrac{0.70711}{\sqrt{n}}[/tex]

The z-critical value at 95% C.I = 1.96

Margin of error = Z_{critical} × S.E

[tex]0.03 = 1.96 \times \dfrac{0.70711}{\sqrt{n}}[/tex]

[tex]n =\dfrac{\left(1.96\ \cdot\ 0.70711^{2}\right)}{0.03^{2}}[/tex]

n ≅ 1088.90

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