50 POINTS TO CORRECT ANSWER otherwise will be reported:
A cart rolls down a hill, traveling 5 inches the first second and accelerating so that during each successive 1-second time interval, it travels 7 inches more than during the previous 1-second interval. The cart takes 30 seconds to reach the bottom of the hill. How far, in inches, does it travel?

a)215
b)360
c)2992
d) 3195
e) 3242

Answers

Answer 1

9514 1404 393

Answer:

  d)  3195

Step-by-step explanation:

The distances traveled make an arithmetic series, the sum of which is given by ...

  Sn = (2·a1 +d(n -1))(n/2)

This series has first term a1=5 and common difference d=7. Then the total distance traveled in 30 seconds is ...

  S30 = (2·5 +7(30-1))(30/2) = (10 +203)(15) = 3195

The cart travels 3195 inches.


Related Questions

Choose the appropriate test for the following situation. A company has instituted a new work policy that it hopes will reduce the number of sick days used per year by its employees. You wish to test whether the mean number of sick days used by employees this year differs from the mean number of sick days used last year by all employees (which was 8.2).
a. Two-sample t-test
b. One-sample t-test
c. Two-sample prop z-test
d. Dependent sample t-test

Answers

Answer:

i think it is a

Step-by-step explanation:

y-4=-3(x-3) in standard form
show ur work​

Answers

Answer: y-4=-3(x-3) in standard form is - 3x+y=13

Step-by-step explanation:

Hope this helps!

Answer:

3x+y=13 hope this helps dont have the work:)

Evan has a loyalty card good for a discount at his local hardware store. The item he
wants to buy is priced at $14, before discount and tax. After the discount, and before
tax, the price is $11.76. Find the percent discount.

Answers

Answer:

14-11.76 = 2.24

2.24×100

14 = 16%

since, the discount percentage is 16%

The sum of the digits in a two-digit number is 16. The digit in the tens place is 2 more than the digit in the
ones place. The system of linear equations shown below represents this situation, where x is the digit in
the tens place and y is the digit in the ones place. Solve the system to find the two-digit number.
(x + y = 16
Ix-y=2
The two digit number is

Answers

Answer:

kapag napag aralan mo yan beh malalaman mo yung sagot kapit lang tiwala ka lang pag aralan mo tignan mo malalaman mo yung sagot jan wag kang magagalit dahil totoo yung sinbi ko cge keep safe and god bless..

An urn contains four dice. Two have faces numbered 1,2,3,4,5, and 6; one has faces numbered 2,2,4,4, 6 and 6; and one has all six faces numbered 6. One of the dice is randomly selected from the urn and rolled. The same die rolled a second time. Calculate the probability that a 6 is rolled both times ( hint Law of total probability) Group of answer choices

Answers

Answer:

21/72 = 0.2917 = 29.17% probability that a 6 is rolled both times

Step-by-step explanation:

Two have faces numbered 1,2,3,4,5, and 6

So for these two, each with 1/4 probability of being chosen, the probability of rolling two six is given by:

(1/6)^2 = 1/36

So

[tex]p_A = 2 \times \frac{1}{4} \times \frac{1}{36} = \frac{1}{72}[/tex]

One has faces numbered 2,2,4,4, 6 and 6;

The probability of rolling 2 faces six with this dice is:

(2/6)^2 = 4/36

This dice has 1/4 probability of being chosen. So

[tex]p_B = \frac{1}{4} \times \frac{4}{36} = \frac{1}{36}[/tex]

One has all six faces numbered 6.

The probabilityu of rolling two six is given by:

(6/6)^2 = 1^2 = 1

This dice has 1/4 probability of being chosen. So

[tex]p_C = \frac{1}{4} \times 1 = \frac{1}{4}[/tex]

Calculate the probability that a 6 is rolled both times

[tex]p = p_A + p_B + p_C = \frac{1}{72} + \frac{1}{36} + \frac{1}{4} = \frac{1 + 2 + 18}{72} = \frac{21}{72}[/tex]

21/72 = 0.2917 = 29.17% probability that a 6 is rolled both times

Plz help me with this I’m stuck

Answers

Answer:

I belive the answer to this is D or A

Step-by-step explanation:

But I strongly think its A

Answer:

The answer is A

How many times bigger is a group of 18 coins than a group of 3 coins?

Answers

Answer:

6 times

Step-by-step explanation:

18 / 3 = 6

Answer:

6

Step-by-step explanation:

Solve:

6*3= 18

Check your work:

18 divided by 3

OR

18 divided by 6

Hope this helps!

help please see question below

:)

Answers

Ummmm I think who answerd is right

I NEED HELP ASAP Catherine finds that in a randomly selected sample of 500 families in her home town, 45% own at least one computer. Her research shows that there are a total of 35,000 families in her town.

Which statements are true?

Select each correct answer.


To estimate the percentage well, she would need to collect data for all 35,000 families.

Since her sample was randomly selected, she can reasonably infer that about 45% of the 35,000 families in her town own at least one computer.

If she collected data for a random sample of 1000 families in her home town, then that percentage would be a better estimate for the percentage of all 35,000 families that own a computer.

Since her sample was only 500 families, it is not possible that the percentage is a good estimate for the percentage of all 35,000 families that own a computer.

Answers

A is the correct answer

Answer:

c and d

Step-by-step explanation:

150 into the ratio 4:11

Answers

9514 1404 393

Answer:

  40 : 110

Step-by-step explanation:

There are a number of ways you can go at this. One of my favorite is to consider the value of a "ratio unit." Here, a total of 4+11 = 15 "ratio units" represent the total to be divided: 150. So the value of each one is ...

  150/15 = 10

Then the division is ...

  4 : 11 = 10·4 : 10·11 = 40 : 110

_____

Alternate solution

Let x represent the larger share. Then the ratio is ...

  (150 -x) : x = 4 : 11

Cross-multiplying gives ...

  11(150 -x) = 4x

  1650 = 15x . . . . . add 11x, simplify

  110 = x . . . . . . . . . divide by 15; the larger share

  150-x = 150-110 = 40 . . . . . . the smaller share

The division is 40 : 110.

i can’t figure out how to do this

Answers

Answer:

i need to know the answer choices

Step-by-step explanation:

Answer:

-25 is correct I think

Step-by-step explanation:

Please someone i need it in 2 minutes please

Answers

Answer:

Step-by-step explanation:

if you draw the situation you get a right triangle with

hypothenuse Edelton Walton and the Park City as the vertex of the right angle

Michael went 38+25= 63 miles

Landon went the length of the hypothenuse so use Pythagorean theorem

√38²+25² ≅45.49miles

Michael went 63-45.5 ≅17.5 further

Tulsi and Gary are competing in a basketball free throw competition. Tulsi’s ratio of free throws made to free throws missed is 3 to 5. Gary’s ratio of free throws made to free throws missed is 10 to 15. Who has the better ratio for making free throws?

pls help

Answers

Gary because 10 to 15 rounds down to 2/3 which is greater than 3 to 5

Answer:

Gary

I have no idea how to explain this but I do know for a fact that the answer is Gary.

Identify the coordinates for point D Awnser. Fast!​

Answers

(1, 1.5)

i hope it’s correct!

Answer:

(1,1.5)

Step-by-step explanation:

x = 1

y = 1.5

Which statement is NOT true of the equation y = 0.5x?

a. The value of y is one-half times the value of x.
b. The equation represents an additive relationship.
c. The value of y is 4 when the value of x is 8.
d. The equation represents a multiplicative relationship.

Answers

Answer:

it would be C do to the fact that 0.5 x 8=4

CAN YOU HELP ME
Explain the differences between expressions and equations.

Answers

Answer:

An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An equation is made up of two expressions connected by an equal sign.

Step-by-step explanation:

have a nice day I hope u pass!

Solve the system of equations by elimination. Explain your reasoning or show your work.

Answers

9514 1404 393

Answer:

  (x, y) = (5, 4)

Step-by-step explanation:

Subtracting the second equation from the first eliminates the x term.

  (4x +6y) -(4x +2y) = (44) -(28)

  4y = 16 . . . . simplify

  y = 4

Using the second equation to find x, we have ...

  4x +2(4) = 28

  x + 2 = 7 . . . . . . divide by 4

  x = 5 . . . . . . . . . subtract 2

The solution is (x, y) = (5, 4).

what is 246 : 7 in long division​

Answers

Here we will show you step-by-step with detailed explanation how to calculate 246 divided by 7 using long division.

Before you continue, note that in the problem 246 divided by 7, the numbers are defined as follows:

246 = dividend

7 = divisor

Step 1:

Start by setting it up with the divisor 7 on the left side and the dividend 246 on the right side like this:

7 ⟌ 2 4 6

Step 2:

The divisor (7) goes into the first digit of the dividend (2), 0 time(s). Therefore, put 0 on top:

0

7 ⟌ 2 4 6

Step 3:

Multiply the divisor by the result in the previous step (7 x 0 = 0) and write that answer below the dividend.

0

7 ⟌ 2 4 6

0

Step 4:

Subtract the result in the previous step from the first digit of the dividend (2 - 0 = 2) and write the answer below.

0

7 ⟌ 2 4 6

- 0

2

Step 5:

Move down the 2nd digit of the dividend (4) like this:

0

7 ⟌ 2 4 6

- 0

2 4

Step 6:

The divisor (7) goes into the bottom number (24), 3 time(s). Therefore, put 3 on top:

0 3

7 ⟌ 2 4 6

- 0

2 4

Step 7:

Multiply the divisor by the result in the previous step (7 x 3 = 21) and write that answer at the bottom:

0 3

7 ⟌ 2 4 6

- 0

2 4

2 1

Step 8:

Subtract the result in the previous step from the number written above it. (24 - 21 = 3) and write the answer at the bottom.

0 3

7 ⟌ 2 4 6

- 0

2 4

- 2 1

3

Step 9:

Move down the last digit of the dividend (6) like this:

0 3

7 ⟌ 2 4 6

- 0

2 4

- 2 1

3 6

Step 10:

The divisor (7) goes into the bottom number (36), 5 time(s). Therefore put 5 on top:

0 3 5

7 ⟌ 2 4 6

- 0

2 4

- 2 1

3 6

Step 11:

Multiply the divisor by the result in the previous step (7 x 5 = 35) and write the answer at the bottom:

0 3 5

7 ⟌ 2 4 6

- 0

2 4

- 2 1

3 6

3 5

Step 12:

Subtract the result in the previous step from the number written above it. (36 - 35 = 1) and write the answer at the bottom.

0 3 5

7 ⟌ 2 4 6

- 0

2 4

- 2 1

3 6

- 3 5

1

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 246 divided by 7 calculated using Long Division is:

35

1 Remainder

Mark as brainlist

35
7 |245
|21
36
35
1


35 with a remainder of 1 is the answer

Help please

What is the value of b?

Answers

Answer:

3[tex]\sqrt{13}[/tex]

Step-by-step explanation:

Find 'c' first by using the Altitutude Rule:

4/c = c/9

cross-multiply to get:

c = [tex]\sqrt{36}[/tex] or 6

Now you can find 'a' by using the Pythagorean Theorem:

4² + 6² = a²

a = [tex]\sqrt{52}[/tex]

Now you can find 'b' by using the Pythagorean Theorem:

([tex]\sqrt{52}[/tex])² + b² = (9+4)²

52 + b² = 169

b² = [tex]\sqrt{117}[/tex]

b = [tex]\sqrt{117}[/tex] = [tex]\sqrt{3}[/tex][tex]\sqrt{3}[/tex][tex]\sqrt{13}[/tex]

b = 3[tex]\sqrt{13}[/tex]

Please smart people

Consider the graph of a unit circle and a point traveling along the circumference of the circle. Which
statement is true?
O A. The point travels a distance of about 6 units in one revolution around the circle.
B. The point travels a distance of about 1 unit in one revolution around the circle.
O C. The point travels a distance of about 3 units in one revolution around the circle.
D. The point travels a distance of about 2 units in one revolution around the circle.

Answers

going on a question i had the answer would be c.

An article describes a study in which a new type of ointment was applied to forearms of volunteers to study the rates of absorption into the skin. Eight locations on the forearm were designated for ointment application. The new ointment was applied to five locations, and a control was applied to the other 3. How many different choices were there for the five locations to apply the new ointment

Answers

Answer:

There were 56 different choices for the five locations to apply the new ointment.

Step-by-step explanation:

The order of the locations in which the new ointment was applied is not important. So we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

How many different choices were there for the five locations to apply the new ointment

Five locations from a set of 8. So

[tex]C_{8,5} = \frac{8!}{5!(8-5)!} = 56[/tex]

There were 56 different choices for the five locations to apply the new ointment.

find the x- and y- intercepts of the following: 10x-4y=-20 ​

Answers

Answer:

y-intercept=5

x-intercept=-2

Step-by-step explanation:

To find the y intercept, plug in 0 for x. So you get 10(0)-4y=-20. Simplify, and clear out the negatives on both sides because they cancel each other out. 4y=20 would be your final equation. y=5.

To find the x intercept, you plug in 0 for y this time. The equation is 10x-4(0)=-20. Simplify to get, 10x=-20. You cannot remove the negative because there isn't a negative sign on the 10x. -20/10 is -2.

please mark brainliest it will help me a lot.

Jordan spent 5 hours over the weekend studying for 3 tests. He spent an equal amount of time studying for each test

Answers

Answer:

Option (4)

Step-by-step explanation:

Jordan spent 5 hours studying for 3 test with equal amount of time studying for each test.

On the number line, there are 3 small segments between each number.

Every small segment will represent time = [tex]\frac{1}{3}[/tex] hours

Total number of small segments = 15

If Jordan takes 3 equal durations for the study of each test,

Total number of small segments for each test = [tex]\frac{15}{3}=5[/tex]

Now we can plot these points on the number line.

Further count the segments for the answer ( 1 hour plus 2 small segments)

= 1 + [tex]2\times \frac{1}{3}[/tex]

= [tex]1\frac{2}{3}[/tex]

Therefore, time given for studying each test = [tex]1\frac{2}{3}[/tex] hours

Option (4) will be the answer.

i need help
pls and thank you

Answers

It’s J the ratio is 1:6

Write the slope intercept form of the equation of the line through the given point with the given slope.
through: (1.-3), slope = -1

Answers

Answer:

y=-x-2

Step-by-step explanation:

y-y1=m(x-x1)

y-(-3)=-1(x-1)

y+3=-1(x-1)

y=-x+1-3

y=-x-2

Help Me :^

What is the quotient?

~Negative StartFraction 3 over 8 EndFraction divided by negative one-fourth~

a. Negative 1 and one-half

b. Negative StartFraction 3 over 32 EndFraction

c. StartFraction 3 over 32 EndFraction

d. 1 and one-half

Answers

Answer:

d

Step-by-step explanation:

Dividing by a fraction is the same as multiplying by the reciprocal of the fraction.

Answer:

d madam

Step-by-step explanation:

edge 2021

Please help, I will give brainliest.

Answers

Answer:

I believe it is c but don't quote me on it

c! HOPE THIS HELPS.


You sell 300 shares of Dendreon Corp at $8.89. You purchased the stock at $42.87. How much money did you lose?
O $42.87
O $8.89
$2,667
O $10,194
$12,861

Answers

42.87 if you where to multiply 300 shares by $8.89 if would give you 2,667 and if you where to subtract $42.87 from 2,667 it would give you 2,624.13 and then subtract 2,667 from 2,624.14 it would give you 42.87 and that is your answer :)


Find the gradient of the line segment between the points (2,-3) and (-3,-8)

Answers

Answer:

1

Step-by-step explanation:

gradient=

[tex] \frac{ - 8 - ( - 3)}{ - 3 - 2} = \frac{ - 8 + 3}{ - 5} = \frac{ - 5}{ - 5} = 1[/tex]

Luzia ran the 400-meter race 3 times. Her fastest time was 52.3 seconds. Her slowest time was 56.3 seconds. If Luzia’s average time was 54.0 seconds, what was her time for the third race?

Answers

Answer: 53.5 seconds

Step-by-step explanation:

Other Questions
Why isn't the following sentence an appropriate thesis?I love heat and sunshine.It does not present an argumentIt is not a controversial statementIt is an appropriate thesis Completa el prrafo con un, una, unos o unas para indicar qu hay en la clase. (Complete the paragraph with a, an, or some/a few to indicate what is in the classroom.)La clase tiene cuatro paredes y dos ventanas. La profesora es la Sra. Martnez. En la clase hay 1. ____ escritorio, 2. ____ cesto de papeles, 3. ____ sillas y 4. _____ pupitres con 5. ____ libros6. ____ lpices y 7. _____ bolgrafos. En las paredes 8. Hay ____ reloj,9. ____ sacapuntas y10. ____ pizarra. En la mochila hay 11. ____ marcadores, 12 ____ regla y13. ____ libro de espaol Solve the system of equations using elimination. SHOW WORK!!!!!!!!!!!!!15q 4r = 625q + 8r = 86 PLEASE HELP ASAP!!!!!!! Which expression is equivalent to the expression m divided by n, where m and n are integers and n0A) m/nB) m/nC) m/nD) (m/n) 4. Sameer appointed as journalist in big news channel. News channel has its own podcast. Explain to Sameer how podcast is useful to him and subscriber of news channel in Digital journalism. Convert the following measurement to their unit equivalents.14.5 ft =___inch15. 60 inch=___feet16. 10 inch = __centimeter17. 5 meter =__decimeter18. 8 meter = ___feet i need urgent helpthis is my maths work Thesis statement are important to historical essays because they: which set of line segments can be used to construct a triangle PPPPllslslslslsls help 100 pts and branilyesthow did the chiken cross the road my favorite answer will get brainlyest Sora is preparing a presentation describing policies included in President Lyndon Johnsons "Great Society and wants to use a relevant online source.Which source is the most relevant for the presentation?a]-an interview with history students about the Great Societyb]-a photograph of Johnson making his Great Society speechc]-a chart describing the conditions that led to the Great Society d]-an audio recording of Johnsons Great Society speech Select the correct answer.In the folowing passage from Great Astronomers by Robert Stewall Ball, the author states that he will trace the developments in astronomyfrom the time of Ptolemy to the nineteenth century. Based on the content and style of the excerpt, what kind of audience did Ball primarily havein mind when he was writing this book?The history of astronomy thus becomes (nseparable from the history of the great men to whose labours its development is due. In theensuing chapters we have endeavoured to sketch the lves and the work of the great philosophers, by whose labours the science ofastronomy has been created. We shal commence with Prolemy, who, after the foundations of the science had been laid by Hipparchus,gave to astronomy the form in which it was taught throughout the Middle Ages. We shall next see the mighty revolution in our conceptionsof the universe which are associated with the name of Copernicus. We then pass to those periods ilumined by the genius of Galileo andNewton, and afterwards we shall trace the careers of other more recent discoverers, by whose industry and genius the boundaries ofhuman knowledge have been so greatly extended. Our history will be brought down late enough to include some of the illustriousastronomers who laboured in the generation which has just passed awayA.B.C.D.students specialzing in the study of astronomypeople with a casual interest in astronomyscientists and mathematicians working with astronomersgeologists and cartographersReset NextP 2021 Edmentum. Al rights reser What did Dr. Holmes tell Lucrezia about Septimus' condition?A. He was schizophrenicB. He had a virus that was effecting his mindC. Nothing was wrong with himD. He had to be institutionalized When Heidi started smoking, she was only smokingone cigarette a day. Both of Heidi's parents smoke,so she did not think it was a big deal. As an eighthgrader, Heidi is now smoking three cigarettes a day.She typically smokes when she is hanging out withher neighborhood friends who are older.Help!! I need 2 risk factors for that scenario!!! What injuries did Susan Egan have while performing on Broadway, giving her the nickname "Calamity Belle"? Does anyone know this? I can't seem to figure this one out at all. Anand knows from experience that if he does not review a new vocabulary word that he has learned, thathe has a 70% chance of forgetting it each day. Let D be the number of days Anand goes without reviewinga word until he forgets it.Find the probability that it takes Anand 4 or more days to forget the word.You may round your answer to the nearest hundredth.P(D > 4) = Help a girl out plssss and show the work I will literally love u Read the paragraph and give one sentence summary of the paragraph. Characteristics of Akbar.This Prince (Akbar) is of a stature and of a type of countenance well-fitted to his royal dignity,so that one could easily recognize, even at the first glance, that he is the King. He has broadshoulders, somewhat bandy legs well-suited for horsemanship, and a light brown complexion. Hecarries his head bent towards the right shoulder. His forehead is broad and open, his eyes so[5] bright and flashing that they seem like a sea shimmering in the sunlight.... Contrary to thecustom of his race he does not cut his hair; nor does he wear a hat, but a turban into which hegathers up his hair. He does this, they say, as a concession to Indian usages, and to please hisIndian subjects. He limps in his left leg, though indeed he has never received any injury there.His body is exceedingly well-built and is neither too thin nor too stout. He is sturdy, hearty and[10] robust. When he laughs, his face becomes almost distorted. His expression is tranquil,serene and open, full also of dignity, and when he is angry, of awful majesty.... HELP DUE TODAY Write an argumentative essay for or against setting long term goals to land a dream job, PLZ NO PLAYGERISM I NEED SOMTHIMG NEW