Question 12
Solve
The distance, s(t), in feet traveled by a freely falling object is given by the function s(t) = 162, where
t is time in seconds. Use this formula to find the time it would take for an object to fall to the
ground from a cliff that is 1024 feet high.

7 sec

64 sec

8 sec

9 sec

Answers

Answer 1

Answer:

8 seconds

Step-by-step explanation:

The correct formula is

s(t) = 16t²

-------------------------

1024 = 16t²

Divide both sides by 16

64 = t^2

Take the square root of both sides

8 = t

8 seconds


Related Questions

One electrician charges a flat fee of $55 to come to the house, $20 per
hour, and the cost of all materials. If h represents the number of hours that
the electrician spent fixing the problem, C represents the total charge, and m
represents the cost of materials, which of the following equations shows how
to determine the total fee charged?

C=20+55h+m

C=mh+55 +20

C=(55+20)h+m

C=55+20h+m

Answers

Answer:

C=55+20h+m

Step-by-step explanation:

C = flat fee + dollars/hour + material expense

C = 55 + 20h + m

Hope this helps

Can someone help me please???

Simplify.

(x^5)^4

Answers

Answer:

x^20 please mark me brainliest

Step-by-step explanation:

1 point
10. What is the solution of the system of equations graphed below?*

Answers

Answer:

No solution

Step-by-step explanation:

Unfortunately your screenshot has cut off the final answer choice, if it says "no solution" you should choose that because these two lines are parallel. Meaning they will never intersect, and the point of intersection is usually the solution.

Question
Translate and solve: Twelve less than x is equal to 51. Enter the equation

Answers

Answer:

x = 63

Step-by-step explanation:

From the question, we can deduce the following points;

- 12 less than x which simply means 12 subtracted from x.

- the value of the above expression is equal to 51.

Translating the word problem into an algebraic expression, we have;

x - 12 = 51

Rearranging the equation (collecting like terms), we have;

x = 51 + 12

x = 63

Plz help me well mark brainliest!....

Answers

Answer

C

Explanation

The predators will increase because if the prey population goes up, there will be more predators first of all, and second of all the predators will not have to worry about food, and will reproduce more

14 deg 37 deg what's the missing angle

Answers

Answer:

129 degrees

Step-by-step explanation:

HELP WILL BE APPRECIATED

Answers

Answer:

sin 60 =√3/2 = 0.8660

Step-by-step explanation:

sin 60 = opposite/hypotenuse

sin 60 = x√3/2x

sin 60 = √3/2 since x cut x

sin 60 = 0.8660 or √3/2

Which of the following values is a zero of
f(x)=3x^4 +8x² + 4x^2 ?

A. 2/3

B. 3/2

C. -2

D. 3

E. -3

Answers

Personally I believe it is -2 but I could be wrong

ILL MARK U BARINLIEST HELP!!!!!!!!!!!!
A ball is tossed into the air. The quadratic function h(t) = -16t^2 + 14t + 5 represents the situation, where t represents the time, in seconds, after the ball is tossed and h(t) represents the height of the ball, in feet. Which of the following statements is NOT true
A- the constant term represents the height from which the ball was tossed.
B- The factors of the function can help determine when the ball hit the ground.
C- The leading coefficient indicates that the graph of the parabola that represents the ball's height over time will open in an upward direction.
D- The graph of the parabola that represents the ball's height over time will have a relative maximum.

Answers

D I believe hope this helped

All employees in Department A attend the sales training programme. Some employees in Department A attend the technical training programme. Some employees who attend both training programmes are in Department B. Conclusion: All employees who attend the sales training programme and who attend the technical training programme are in Department A. If the assumptions are true, is the conclusion:

a. Correct
b. Cannot be determined based on the information available
c. Incorrect

Answers

Answer:

c. Incorrect

Step-by-step explanation:

According to the third sentence in assumption "Some employees who attend both training programmes are in Department B.", it is clear that there are certain employees in department B, who are attending both the training. Hence, all the employees who attend the sales training programme and who attend the technical training programme are not in Department A. Some of them are in department B as well.

Therefore, the conclusion is not correct and the final answer is:

c. Incorrect

Which numerical pattern is not linear?


A,1, 3, 6, 10, 15, . . .

B.1, 3, 5, 7, 9, 11, . . .

C.2, 4, 6, 8, 10, . . .

D.5, 8, 11, 14, 17, . . .

Answers

Answer:

C.2,4,6,8,10

Step-by-step explanation:

correct me if I'm wrong:)

Evaluate the expression when
a = 0.3
b = 0.5
c = 0.25

Answers

Answer:

See The Image Below:)

Step-by-step explanation:

Which ratio is equivalent to? 4:5​

Answers

Answer:16:20

Step-by-step explanation:

Helpppppppppppppppp!

Answers

inverse variation !!
Use inverse variation to solve this

PLEASE HELP! What is the value of x in the figure?


Options:

A. 37B. 60 C. 160D. 2372

Answers

Answer:

Yo, the answer would be 37 which is A. Cheers

Step-by-step explanation:

The sides are equal to one another

This means   4x+2=180

4x+2=180      

    -2     -2

4x=148

/4

x=37

Answer:

Hello! answer: x = 37

These are vertical angles so they will both equal the same so we just have to figure out what multiplied by 4 + 2 = 150 and 4 × 37 = 148 and 148 + 2 = 150 so x = 37 Hope that helps!

Which of the following is always one of the data values in a data set?

Answers

Answer:

mean

Step-by-step explanation:

1. The mean is always one of the data values. 3. The mode is always one of the data values.

Answer: The mode.

Step-by-step explanation: The answer to this question is the mode, the answer is mode because there might be some numbers that show up the same amount of times like a different number. So there might be TWO modes :’).

Here are the definitions for mean, median, mode, and range:


Mean (the “average”) —> the sum of the numbers in the data set divided by the amount of numbers in the data set.

Median (the “middle”) —> the number in the middle of the data set, when the numbers are placed in numerical order.


Mode (the “most”) —> the number in the data set that shows up the most often.


Range —> the difference between the data set’s largest number and the data set’s smallest number.

——————————————————————

Hope this helps!!

n/5 + 7 < 5

I need help please!

Answers

Okkkkk!!!!!!!!!!!!!!!!!!!!!

Let's solve your inequality step-by-step.

n/ 5 + 7 < 5

Step 1: Simplify both sides of the inequality.

1/5n + 7 < 5

Step 2: Subtract 7 from both sides.

1/5n + 7 −7 < 5 − 7

1/5n < − 2

Step 3: Multiply both sides by 5.

5*(1/5n) < (5)*(−2)

n < − 10

Answer:

n < − 10

Suppose you were to draw all possible samples of size 36 from a large population with a mean of 650 and a standard deviation of 24. You then compute the sample mean x-bar for each sample. From the long list of sample means, you create the sampling distribution of the sample mean, assigning probabilities to all possible values of x-bar.

Required:
What is the shape of the sampling distribution you would expect to produce?

Answers

Answer:

By the Central Limit Theorem, it is approximately normal with mean 650 and standard deviation 4.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes 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.

Mean of 650 and a standard deviation of 24.

This means that [tex]\mu = 650, \sigma = 24[/tex].

Sample of 36:

This means that [tex]n = 36, s = \frac{24}{\sqrt{36}} = 4[/tex]

What is the shape of the sampling distribution you would expect to produce?

By the Central Limit Theorem, it is approximately normal with mean 650 and standard deviation 4.

Given that the function graphed is f(x), what is f (4)?
A) -2
B) -4
C) -6
D) -8

PLEASE ANSWER QUICKLY THANK YOUUUU

Answers

Answer:

D) - 8

Step-by-step explanation:

If the function graphed is the right function and the question is asking for f(4), this means the question is just asking for the y value when x is equal to 4. Looking at the graph, we can see this is -8.

Determine if lines AB and CD are parallel, perpendicular, or neither. A(5,-8), B(-2,-10), C(-6,-13), D(-2,1)

Answers

Answer: The answer is neither because the slopes are 2/7 and 7/2.

Step-by-step explanation:

While these answers look like they are perpendicular, they are not since the signs are the same. If they were perpendicular the signs would be different. Ex: 2/7 and -7/2. These points are perpendicular since their signs changes as well as being "flipped".

:)

BRAINLIEST IF YOUR CORRECT PLEASE HELP HURRY!

The admission fee at an amusement park is $3.50 for children and 13.00 for adults. On a certain day, 288 people entered the park, and the admission fees collected totaled $2,338.00. How many children and how many adults were admitted?

There were ___ children and ____ adults admitted into the park

Answers

Answer:

148 children and 140 adults were admitted.

Step-by-step explanation:

Given that the admission fee at an amusement park is $ 3.50 for children and $ 13.00 for adults and on a certain day, 288 people entered the park, and the admission fees collected totaled $ 2,338.00, to determine how many children and how many adults were admitted you must be perform the following calculation:

13 - 3.5 = 9.50

288 x 3.50 = X

1.008 = X

2338 - 1008 = 1330

1330 / 9.5 = 140

288 - 140 = 148

148 x 3.5 + 140 x 13 = X

2338 = X

Therefore, 148 children and 140 adults were admitted.

Two cars start at the same time, but travel in opposite directions. One car's average speed is 20 miles per hour (mph). At the end of 2 hours, the two cars are 120 miles apart. Find the
average speed in mph of the other car. (Enter an exact number.)
help
X mph
Need Help?
Read it

Answers

Answer:

The first car's speed is 40 mph. 2 hours at that rate equals 80 miles. So:

 

140-80=60

60 miles/2 hours=30 mph as the rate of the second car.

Step-by-step explanation:

HELP PLEASE :(... I will give brainliest:)

Answers

Answer:

your just putting the numbers at the bottom into the line plot . so let's say  there is 333 u would up the three 3 on the plot .

Step-by-step explanation:

hope this helps let me know if u need a better explanation

Brandon is picking songs to play during a slideshow. The songs are each 2)
minutes long. The slideshow is 32, minutes long. How many songs will play in the
slideshow?
12 songs
13 songs
32 songs
10 songs

Answers

If the choice was 16 that would be the answer. But the closest without going over would be 13 songs.

question 13 helllppp pllllz alomost done

Answers

I would think 5 mins because, when you do 33-15 you get 18, and so it drained 18
cm in 6 mins so, that’s 3 cm per min. So if you do 15/3 you get 5 mins. Hope this is helpful! Sorry if it’s wrong :((

plz help????????????​

Answers

Answer:

b.

Step-by-step explanation:

Parallel lines have the same slope.

Find the area of ​​the base of the triangular base pyramid.

Answers

Answer:

31.5 inches

Step-by-step explanation:

A = 1/2 h l

A= 1/2 (7) (9)

A = 1/2 (63)

A = 31.5 inches

h=height

l=length of base

Which table shows the same relationship as y = -x^2 + 3x?

Answers

Answer:

H

Step-by-step explanation:

given y = -x² + 3x.

let f(x) be y.

f(-2) = -(-2)² + 3(-2) = -10

f(-1) = -(-1)² + 3(-1) = -4

f(0) = -(0)² + 3(0) = 0

f(1) = -(1)² + 3(1) = 2

f(2) = -(2)² + 3(2) = 2

MY BRAIN IS GONNA EXPLODE I NED AWNSER, I WILL MARK BRAINLEIST!!!!!​

Answers

Answer:

I’m pretty sure the answer is 1/4.

Step-by-step explanation:

A father has four sons, with heights of 68, 71, 72, and 75 inches. Determine the sampling distribution of
the sample mean height and the sampling distribution of the sample range of height for samples of
size n= 2.

Answers

I hope this helps this is the answer right here ☺️

The sampling distribution of the sample mean height and the sampling distribution of the sample range of height are 71.5 inches and 7 inches.

What is a mean?

It is the average value of the set given.

It is calculated as:

Mean = Sum of all the values of the set given / Number of values in the set

We have,

Heights: 68, 71, 72, and 75 inches

Now,

Mean height.

= (68 + 71 + 72 + 75) / 4  

= 286/4

= 71.5 inches

Sample range.

= Highest height - Lowest height

= 75 - 68

= 7 inches

Thus,

The mean height is 71.5 inches.

The sample range of height is 7 inches.

Learn more about mean here:

https://brainly.com/question/23263573

#SPJ2

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