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

There are 22 students in your class. Your teacher is going to choose 2 students at random for a prize. What is the probability that it will be you and your best friend that is in the class?
A. 36
B. 70
C. 1/462
D. 6(4X+3Y-2)
E. 18.75
F. 23.36
G. 2.54
H. 36.3
I. 6(4X-3Y+2)

Answers

Answer:

C)  1 / 462

Step-by-step explanation:

22 x 21 = 462

6. What is the measure of angle 7? (answer with the number only; not the
degree sign) *

Answers

Answer:

65

Step-by-step explanation:

because 5 and 7 are the same angle that means the opposite of the 65 has to also be 65

Can someone please help me
I’m not good at math and I need to multiply this
135
x 62

Answers

the answer is 8370 :)

You have just opened a new dance club, Swing Haven, but are unsure of how high to set the cover charge (entrance fee). One week you charged $4 per guest and averaged 80 guests per night. The next week you charged $10 per guest and averaged 44 guests per night. (a) Find a linear demand equation showing the number of guests q per night as a function of the cover charge p.

Answers

Answer:

[tex]q = -6p + 104[/tex]

Step-by-step explanation:

Linear function:

A linear function has the following format:

[tex]q = mp + b[/tex]

In which m is the slope and b is the q-intercept.

One week you charged $4 per guest and averaged 80 guests per night. The next week you charged $10 per guest and averaged 44 guests per night.

This means that we have these following points: (4,80), (10,44).

Finding the slope:

With a pair of points, the slope is given by the change in q divided by the change in p.

Change in q: 44 - 80 = -36

Change in p: 10 - 4 = 6

Slope: [tex]m = \frac{-36}{6} = -6[/tex]

So

[tex]q = -6p + b[/tex]

Finding b:

We replace one of the points. Replacing (4,80).

[tex]q = -6p + b[/tex]

[tex]80 = -6*4 + b[/tex]

[tex]b = 104[/tex]

So

[tex]q = -6p + 104[/tex]

The dimensions of a rectangle are √50a^3b^2 and √200a^3. What is the students error?

Answers

Answer:

The student incorrectly simplified [tex]30ab\sqrt{2a}+20a\sqrt{2a}[/tex] .

Thus, option D is correct.

Step-by-step explanation:

The formula to determine the Perimeter of a rectangle of width w and length l is expressed as:

[tex]P = 2l + 2w[/tex]

In other words, the perimeter can be determined by multiplying the length and width by 2 and adding the result.

In our case, the dimensions of a rectangle are [tex]\sqrt{50a^3b^2}[/tex]  and  [tex]\sqrt{200a^3}\:\:[/tex].

Here is the student's solution:

[tex]2\sqrt{50a^3b^2}+2\sqrt{200a^3}=2\cdot 5ab\sqrt{2a}+2\cdot 10a\sqrt{2a}[/tex]

                                 [tex]=10ab\sqrt{2a}+20a\sqrt{2a}[/tex]

                                 [tex]=30ab\sqrt{2a}[/tex]          

The student made an error in calculating [tex]30ab\sqrt{2a}+20a\sqrt{2a}[/tex] , because [tex]30ab\sqrt{2a}+20a\sqrt{2a}[/tex] are not like terms.

Hence, [tex]30ab\sqrt{2a}+20a\sqrt{2a}[/tex] can not be simplified to [tex]30ab\sqrt{2a}[/tex]

Therefore, the student incorrectly simplified [tex]30ab\sqrt{2a}+20a\sqrt{2a}[/tex] .

Thus, option D is correct.

Here is the correct Solution:

[tex]2\sqrt{50a^3b^2}+2\sqrt{200a^3}=2\cdot 5ab\sqrt{2a}+2\cdot 10a\sqrt{2a}[/tex]

                                 [tex]=10ab\sqrt{2a}+20a\sqrt{2a}[/tex]

Answer:

D. The student incorrectly simplified 10ab sqrt2a+ 20a sqrt2a

Step-by-step explanation:

Just did it.

Gianna had a canister with 6 1/2 pounds of sugar. She used 2 3/4 pounds of sugar to make cookies. How much sugar is left in the canister?

A. 3 3/4


B. 4 1/4


C. 4 3/4


D. 17 7/8

Answers

I The answer is B because it’s someone who makes sense and if you divide both new married name is Anna nominators and you will keep James changed able to give you the answer you need
Answer: 3 3/4 decimal is 3.75

Is figure ABCD a translation of Figure ABCD

A. Yes it is translated 2 units left and 2 units up

B. Yes it is translated 1 unit left and 3 units up

C. Yes it is translated 3 units left and 1 unit up

D. No the two figures are oriented diferently

Answers

the answer is a .. hope this helps .

. At 9 am on a regular school day, there are 35 students in the library. If for every 30 minutes,
5 students will leave, but 2 students will come, at what time will there be no more students in
the library?

Answers

Answer:

360 minutes or In 6 hours.

Step-by-step explanation:

Determine which of the given procedures describe a binomial distribution. Select one: A. Record the number of ear piercings in a group of 30 randomly selected college students. B. Observing that five out of the next ten customers at a hotdog stand order hot peppers given that the probability of ordering hot peppers is 0.18. C. Surveying customers leaving a hardware store until a customer responds that he or she spent more than fifty dollars.

Answers

Answer:

B. Observing that five out of the next ten customers at a hotdog stand order hot peppers given that the probability of ordering hot peppers is 0.18.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [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]

And p is the probability of X happening.

Option A:

No, since it is not the probability, or percentage of students that have ear pircings, it is the number, which can assume values larger than 1.

Option B:

Yes, since it is a probability, each customer is independent of other customers, and in each trial, there are only two possible outcomes. This is the correct answer.

Option C:

No, this is called inverse binomial, as we want to find the number of customers until one does something, not the probability of a number of customers doing something.

what the answer to this 7(3 + b)

Answers

Answer:

21 + 7b

Step-by-step explanation:

We have the expression 7(3 + b) and are being asked the answer.

Our expression has a number out of a certain parenthesis, when this occurs, this means that we must distribute the number outside the parenthesis to the numbers inside. Do as following :

7(3 + b)

(7(3) + 7(b))

21 + 7b

(I am unsure on whether you forgot the "= 0" at the end, if you did please tell me in the comment section and I will change my answer.)

Negative fourty-eight and fifteenth thousand in decimal form

Answers

Answer:

-48.015

Step-by-step explanation

-48.015 get a good grade

Every 8 hours, a company is able to manufacture 14 tents. Suppose that the total number of tents, y, is graphed agains the total number of hours, x. What is the slope?

Answers

Evey 8 hours is the answer hope this helps

Kevin made 4 of his 6 shots on goal at soccer practice.
If he continues to shoot in the same manner throughout the
practice, how many shots would he make out of 72?

Answers

Answer:

48

Step-by-step explanation:

4/6 = 2/3

2/3 times 72 = 48

Which property is used in the first step to solve this equation
4(x-6)=5
4x-24 = 5
4x= 29
x=29/4

Answers

Answer:

Distributive property

Step-by-step explanation:

2. Las dimensiones de una caja de bombones son de 12.5 cm
de largo, 6.3 cm de ancho y 6 cm de alto. ¿Cual es el
volumen de la caja de bombones?​

Answers

Answer:

creo que puede ser 24.8 siiiiiiii eso puede ser

−3.64⋅|−5.3|−1.5^3

help pls

Answers

Answer:

5

Step-by-step explanation:

its 45

Answer:

-22.667

Step-by-step explanation:

-3.64(5.3) - (1.5)³

-19.292 - 3.375 = -22.667

. Which of the following situations is best represented by the equation y = x + 15?

1 Each student begins the candy hunt with 15 pieces of candy in their bag.
2 Emery earns $15 per hour babysitting.
3 Joshua spent $15 of his money at the movie theatre.
4 Each homeroom class has at least 15 students.

Answers

Step-by-step explanation:

= 30 djdjsbdjdbdbdu djsjsbs

I say that A best represents the equation.

The reason I say this is because the equation (y= x + 15)  can be explained like this.

y= Total amount of candy (in this case since it's based on A)

x= Amount found (normally would be called earned)

15= starting amount (aka initial value)

So since each student started with 15 you would add that on to X= the total amount found. Then after that the total value (y) would have been represented by the equation X + 15.

All in all A best represents the equation Y= X + 15.

Hope this helps.

    。 .  .   。  ඞ ඞ ඞ ඞ ඞ ඞ ඞ 。  . • . [Northstar] was ejected. . .   。 .     。      ゚   .     . ,    .  .   ..  。    •   ゚  。   .   .      .     。。    •   ゚  。   .   .      .     。。    •   ゚  。   .   .      .     。。    •   ゚  。   .   .      .     。

Plz answer will give brainliest if correct

Answers

Answer:

The answer is A.

Step-by-step explanation:

The length of a rectangular rug is 4 less than twice its width. The perimeter of the rug is 40 feet. What is the area of the rug?
1) 96 sq ft
2) 56 sq ft
3) 104 sq ft
4) 86 sq ft

Answers

Answer:

96 sq ft

Step-by-step explanation:

Ok so if the width of the rectangle rug is 12 ft then you have to do 12*2-2 which is 8. A rectangle with these dimensions has a perimiter of 40 and an area of 96. (Double check to make sure I'm correct)

Streamline Market sells ground beef. Ground Beef sells for 1 pound at $1.39. 1 pound makes 4 hamburgers. What is the cost of 30 hamburgers rounded to the nearest cent?

Answers

The answer is 10.43$

Step by step:
30 / 4 = 7.5, so 7.5 pounds is needed
7.5 x 1.39 = 10.425 which is rounded to 10.43$

find the missing number in this proportion.
[tex] \frac{48}{80} = \frac{6}{?} [/tex]​

Answers

48 divided by 8 is 6
80 divided by 8 is 10 therefore the answer is 10

Eugene had $57.93 to spend when he went to Staples. He bought 4 notebooks for $7.99 each and some pens for $2.49 each. After paying for his supplies he had $18.50 left. How much did each pens cost?

Answers

Answer:$6.21

Step-by-step explanation:

57.93 - (4 X 7.99)

= $33.96

$33.96 - $18.50

= $15.46

[tex]\frac{15.46}{2.49}[/tex]

= $6.2088

=$6.21

PLEASE HELP ME!!!!!
Amelia is going to invest $90,000 and leave it in an account for 12 years. Assuming the interest is compounded monthly, what interest rate, , would be required in order for Amelia to end up with $144,000?

Answers

Answer:

3.92%

Step-by-step explanation:

4 If 100 ipods are produced the cost is $102,500 and if 2000 ipods are produced the cost is $150,000. Find
the production cost per ipod. Write a linear equation. What is the cost to produce 500 ipods?

Answers

Answer:

512,500

Step-by-step explanation:

answer my question instead of saying shut up mia

What is the answer to the following equation:
[tex]\frac{5}{4} \geq \sqrt[-443]{343434789} \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \alpha \beta x_{1397} \neq 8^{2}[/tex]

thanks[tex]\frac{5}{4} \geq \sqrt[-443]{343434789} \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \alpha \beta x_{1397} \neq 8^{2}[/tex]

Answers

Answer:

bro go0gle is the right answer for this i dont think the smartes person in the world can solve this.

Step-by-step explanation:

How many terms will be in the expansion of (x-8y)^10?

There will be 10 – 1 = 9 terms in the expansion.

There will be 10 x 1 = 10 terms in the expansion.

There will be 10 + 1 = 10 terms in the expansion.

There will be 10 divided 1 = 11 terms in the expansion.

NEED THIS ASAP

Answers

Answer:

Step-by-step explanation:

There will be 10+1 = 11 terms in the expansion.

Ben and Corinne are filling goodie bags for a party. Each goodie bag needs an eraser, a bubble wand, and a few candy bar bites. Ben filled 25 goodie bags in 20 minutes. Corinne filled 27 goodie bags in 24 minutes. Who filled goodie bags at a faster pace?

Answers

Answer:

Ben

Step-by-step explanation:

Corinne is slower

Answer:

GDAY MATES Its ben

Step-by-step explanation:

i did the test ~your friendly aussie~

Classify the equation as a conditional equation, an identity, or a contradiction. 4x+5x−15=9x−10−5

Answers

Answer:

Identity

Step-by-step explanation:

Conditional equation, an identity, or a contradiction.

Conditional equation: Two sides are equal for some value of x.

Identity: Two sides are equal for every value of x.

Contradiction: We have 0x = number that is not 0.

4x+5x−15=9x−10−5

Lets solve

[tex]4x + 5x - 15 = 9x - 10 - 5[/tex]

[tex]9x - 15 = 9x - 15[/tex]

Equal on both sides, so identity.

Answer:

conditional equation

Step-by-step explanation:

Collecting terms on both sides, we get

−4+3x−5x−2x−4=−1−10+x=x−11

Subtracting x and adding 4 to both sides of the equation, we get

−3x=−7

This can be solved by dividing by −3 on both sides of the equation, which gives a unique solution of 73. So, this is a conditional equation.

what does math means​

Answers

Answer:

It means mathematics.

Lamoo thats wht it said in go-ogle

Step-by-step explanation:

Joel is looking at payment plans for the gym.

Plan A: $25 per month plus $145 to start

Plan B: $50 per month


How many months would it take for Plan A to be cheaper than Plan B?

Answers

Answer:

5 months

Step-by-step explanation:

plan a: $145 +$25x ........ $145 + ($25 x 4)= $245

plan b: $50x.......... $50 x 5= $250

Other Questions
The function D =25+0.3 X represents the daily dental charge D in dollars for X miles driven HELP PLEASE HURRY WILL MARK BRAINLIST aA healthy microbe to human relationship is a balance we can study and understand. bHuman guts tend to gather a range of microbes that maintain health. cNew studies suggest a wide variety of microbes is best for the human body. dThe American Gut Project is a study to understand the digestive system.The Truth About Antibacterial SoapAccording to Discovery Fit & Health, about 75 percent of liquid soaps claim to be antibacterial. While this kind of soap sounds like a good idea, it is really not more effective than regular soap. Soap in general works by binding with dirt and grime and bacteria. This binding action allows the particles to be washed away easily. Antibacterial soap really does no more than regular soap. In fact, to be more effective than regular soap, antibacterial soap should stay on your skin for about two minutes to do what it claims it can do. Most people do not wash their hands that long. In addition, antibacterial soap may do harm. First it kills both beneficial and harmful bacteria. Second, scientists believe bacteria may become resistant to antibacterial agents over time, especially if they are not used correctly. Finally, antibacterial soap does nothing to viruses. Most of the time, we get sick from viruses, not bacteria. In sum, antibacterial soap does not live up to the hype. You are better off just using regular soap.Works CitedIs Antibacterial Soap Any Better than Regular Soap?http://health.howstuffworks.com/skin-care/cleansing/myths/question692.htm what item was purchased by about 40% of all americans that was essential for mass communication and entertainment in the 1920s? __________independent cells begin to form during ______________________________. Como se escribe 216 grados en minutos? 6x + y = -1y=-3x - 4 Is (-3,2) a solution to the system of equations below ? Simplify the following. Do not write multiplication signs in your answers.a) pqqrrqqr=b) ttttuutttuu= Jillian stepped on a nail. Which should she be concerned about contracting? What happened to the German children Hitler was willing to ship out of the country?a. German families took them in and protected them.b. They were separated and sent to several different countries.c. The United States allowed them to immigrate.d. They were sent to death camps in Germany. what are the first three books of the first testament Type the correct answer in the box. Use numerals Instead of words. If necessary, use / for the fraction bar. Find the missing number in this proportion. [tex] \frac{10}{15} = \frac{?}{21} [/tex] Which of these is not true about water? a. it's polar.b. it can dissolve anything.c. it is known as the universal solvent. d. its molecules are attracted to each other. BCMSCM-CA-SCIENCECRT what is needed for dna replication STOP SCAMMING MEWHAT THE HECK DOES IR CONJUNCT TOO???ONLY ANSWER IF U SPEAK SPANISH infinite phrase, participial phrase, absolute phrase, gerund phrase 3w - 11 = 25can someone answer this plz I really need help. I managed to do number 6 but I have no clue what the other ones are. Please help SOMONE HELP PLSSSS IM SO CONFUSED 35.95+7.75%