Find the sum of the first 31 terms of the following series, to the nearest integer. 5 , 14 , 23 , . . .

Answers

Answer 1

Answer:

Step-by-step explanation:

a1 = 5

common difference = 2nd term - 1st term= 14 -5 = 9

n = 31

[tex]S_{n}=\frac{n}{2}[2a+(n-1)d]\\\\S_{31}=\frac{31}{2}[2*5+30*9]\\\\=\frac{31}{2}[10+270]\\\\=\frac{31}{2}*280\\\\=31*140\\\\=4340[/tex]

Answer 2

Answer:

i took the tests and the answer is d


Related Questions

A red bus and a yellow bus are both driving on the same road, in the same direction They start driving from the same place and are traveling at a constant speed. The red bust started driving 0.5 hours after the yellow bus started driving. If the red bus drives 50 miles per hour and the yellow bus drives 40 miles per hour, how many miles will each bus have to traveled when the red bus catches up to the yellow bus?

Answers

Answer:

100 miles

Step-by-step explanation:

lets find out how much the yellow bus drove before red bus started

40*0.5=20

20 miles

50x=40x+20

10x=20

x=2

they traveled for two hours until red bus caught up with yellow bus

yellow:

2*40+20=80+20=100 miles

red:

2*50=100 miles

Will Give Brainilest If Correct:

True or False:
0 is neither positive or negative.

Answers

Answer:

true

Step-by-step explanation:

0 is one of the many things in life that make no sense.

// have a great day //

Answer:

True

Step-by-step explanation:

0 is like the barrier between positive and negative numbers.

So the answer is true.

Which statement best describes how to determine where f(x)=x^2-x+8 is an even function

Answers

Answer:ogros reconocer a negra denda como el me de una sumatoria que permite calcular ... Como vimos, entre más subdivisiones del intervalo tomemos, mejor será la ... que la aproximan y luego determinar a qué valor tiende el área cuando n ... n k=1 1 ( kYo 1 - — lí X +- o = + (Vé ejemplo 8. a-na-n X () 3 (véase e eje plo 8.)

Step-by-step explanation:

PLS HELP!! IT"S DUE SOON! An iron bar that weighs 2 1/4 lb. is cut into smaller bars that weigh 6 ounces each. How many smaller bars are there?

Answers

There are 6 smaller bars

Explanation: 2 1/4 lb. to ounces is 36 ounces. Divide it by 6 and it makes 6 smaller bars.

Answer:

There are 6 smaller bars

75% of_____ = 300
Please help me

Answers

Answer:

400

Step-by-step explanation:

75%=0.75

300/0.75 = 400

Answer:

400

Step-by-step explanation:

75/100 of x = 300

75x/100 = 300

Cross multiplying

75x = 30000

Dividing the both by 75

x = 400

Use the graph to determine the domain and range
of the piecewise defined function.
Domain:
-6 -6 1 <<6
2

Answers

Answer:

Domain = {-6 ≤ x ≤ 2, x ≠ 0}

Range = {1 < y ≤ 6}

Step-by-step explanation:

Answer:

Domain: -6[tex]\leq x<0 or 0<x\leq 2[/tex] Option A

Range: 1<y[tex]\leq 6[/tex]

Step-by-step explanation:

Need help AsAp WIll give brainlist!!!

Answers

Answer:

-5

Step-by-step explanation:

Score in first round = +15

Scores lost in second round = -30

Score in third round = 10

Total points = 15+-30+10= -5

What is 4.6% of 1.9? Round to the nearest hundredth (if nece
ecessary)

Answers

Answer:

.0874 or .087

Step-by-step explanation:

Answer:

1.99

Step-by-step explanation:

4.6% > 0.046

0.046 x 1.9 = 0.0874

0.0874 + 1.9 = 1.9874

rounded to nearest hundredth

1.99

I need help with this last question

Answers

the statement (l4x-2l = -6) is false (no solution) for any value of x because the absolute value function is always positive or 0

do complementary angles form straight angles?

Answers

Answer: no

Explanation: Complementary angles form a right angle (L shape) and have a sum of 90 degrees.

-4|x|=-12 solve the equation​

Answers

Answer:

-4|x| = -12

|x| = 3

x = 3, x = -3

Answer:

x=3,   x=-3

Step-by-step explanation:

-4|x|=-12

Divide each side by -4

-4/-4|x|=-12/-4

|x|=3

There are two solutions to an absolute value one positive and one negative

x=3,   x=-3

A trader purchased 1,000 books at the rate of $5.40 per book and spent $200 towards transportation. If he wants to earn a profit of 12.5%, at what price should he sell each book?
( with explanation )

Answers

Answer:

$6.3

Step-by-step explanation:

Cost of one book =  $5.40

cost of 1000 books = 1000* Cost of one book  =  $5.40*1000 = $5400

Transportation cost for all the books = $200

Thus, total cost for all the books = cost of 1000 books + Transportation cost for all the books  = $5400 + $200 = $5600.

Given , trader wants to earn a profit of 12.5%

thus, we find 12.5 % of total cost incurred by trader

12.5 % of total cost incurred by trader = 12.5/100 *  $5600. = $700

Thus, total profit for 1000 books will be $700

we know that

selling price = cost price + profit

therefore, in the given problem

selling price for 1000 books =  total cost for 1000 books + total profit

substituting the value as calculated above

selling price for 1000 books = $5600 + $700 = $6300

To find selling price for one book, lets divide LHS and RHS by 1000

selling price for 1000/100 books = $6300/1000 = $6.3

Thus, trader should sell each book at $6.3 to earn a profit of 12.5%.

Which set of numbers could be the length of the sides of a right triangle?
A) {10,24,26}
B) {12,16,30}
C) {3,4,6}
D) {4,7,8}
***YOU DON'T HAVE TO SHOW WORK***

Answers

(A) is the only one that would work

10^2 + 24^2 = 26^2
This is known as Pythagorean theorem

Joshua uses his thermometer and finds the boiling point of ethyl alcohol to be 75 degrees Celsius. He looks in a reference book and finds that the actual boiling point of ethyl alcohol is 80 degrees Celsius. What is his percent error?

Answers

Answer:

6.25%

Step-by-step explanation:

75 - 80 = -5

Absolute value of -5 is positive so -5 = 5

5 ÷ 80 = 0.0625 (1/16)

0.0625 × 100 = 6.25%

Joshua's percent error is 6.25%

Just took this it’s 6.25%

I need help again brainiest who ever get this right

Answers

Answer:

Step-by-step explanation:

26x25x24x23x22x21x10x9=30,891,577,600

=Thirty billion, eight hundred ninety-one million, five hundred seventy-seven thousand, six hundred.

the answer was kind of in the question btw :)

Each banana weighs 1/2 pound. How many bananas are there in 3 pounds?

Answers

Answer:

6

Step-by-step explanation:

3 divided by 1/2 is equal to 6

Answer:

6 bananas are in 3 pounds.

Step-by-step explanation:

Each banana is 0.5 pound, and keep adding more bananas until you reach 3 pounds.

A toy store marks down every toy by 15% in June. How much does a toy cost during June?

Answers

Answer:

since the toy is marked down 15%,

you do p*.85  

to find the remaining cost

Step-by-step explanation:

What is a salesperson's commission on a $1000 sale if the commission rate is 20%?

Answers

If it were 100 it would be $20, so for 1000 you just add one more zero and it’s $200

Maria average 81 on her first three History exams. the first score was 83. The second score was 4 less than the third score. What did she score on the second and third exam​

Answers

Answer:

76 on second exam, 80 on third exam

Step-by-step explanation:

First, find the total of all 3 test scores by multiplying the average by the number of elements. 81 · 3 = 243.

The first score is 83 so 243 - 83 = 160. 160 is the other two test scores combined.

To find the other 2 scores, divide 160 by 2, which is 80.

The second score is 4 less so it will be 76. The third score is 80.

Fully explain the solution set to the equation below.
1x = -1

Answers

Answer:

The answer for x should equal: -1.

Step-by-step explanation:

To find x, we would divide, our final value, by 1 to get x. In other words, you would divide: -1 ÷ 1 to get -1 as our unknown number.

I need help on #5 on my summer packet my teacher never taught me this and I need help.

Answers

Answer:

c

Step-by-step explanation:

it can only be 0-9 that is in standard form- one digit then a decimal point

can u pls mark as brainliest?

Answer:

c

Step-by-step explanation:

hope that helps

A rectangular prism and a square pyramid were joined to form a composite figure.


A rectangular prism with a length of 9 inches, width of 9 inches, and height of 5 inches. A square pyramid with triangular sides with a base of 9 inches and height 4 inches.
[Not drawn to Scale]

What is the surface area of the figure?
261 in.2
333 in.2
405 in.2
477 in.2

Answers

Answer:

B. 333 in.2

Step-by-step explanation:

The area of the base is 81^2

lateral is 45 x 4 = 180^2  (9x5x4)

180^2 add the 72 pyramid = 252^2 + base of 81^2 = 333^2

Composite figueres i do like this as shown to you a few seconds ago.

The triangle shows us just the height

4 inches

We can see that height is smaller central isosceles height across the center base point.

We also can remember to use the length 9inches but divide by 2 and get each triangle area this way.

4 x 1/2 base = 4x 1/2 4.5 = 4 x 2.25 = 9^2 each right side triangle

9 x 8 = 72^2

we add the areas 72+ 81+lateral 180 = 333 inches^2

Answer:

it is B

I took the quiz

I know it's Negative Correlation buy I'm so confused on b....

Answers

Basically, the question is asking you if there’s any outliers. An outlier is a data point that seems to not follow the other data points. The outlier here is at about (8, 8000). This point does not follow the negative trend of the other points.

I will give brainliest answer and upvote

Answers

Answer:

397.39

Step-by-step explanation:

steps are all stated in the picture, basically use area of circle minus area of rectangle will give you the shaded area

Sharon drops a rubber ball from a height of 48 feet. Every bounce sends the
ball half as high as it was before.

What is the total vertical (up and down) distance the ball has traveled, from
the moment it is dropped to the moment it hits the floor for the fourth time?

(Do not include units in your answer.)

Answers

Answer:

132

Step-by-step explanation:

48 first hit and rises 24

24 second and rises 12

12 third hit and rises 6

6 forth hit

48+24+24+12+12+6+6= 132

After the 4th hit the total distance up and down covered by the ball will be 90 feet.

Why the ball is bouncing back less and less distance upward after every drop ?

Some of the kinetic energy of the ball has been transferred by the ball to the ground after each drop also when it is in the process of going upwards force of gravity is working on the opposite direction which is downwards.

There are other factors too ask your physics teacher if you are more curious.

According to the given question

First time it has been dropped from a height of 48 feet as at every bounce it bounces back half of it's value it will go up to 24 feet repeating this process of bouncing back for the fourth time

It will be (48 + 24 + 12 + 6) = 90 feet

Learn more about Kinetic energy here :

https://brainly.com/question/15764612

#SPJ2

Which of the following best represents 43?

A number between ____ and ____.

A. 7 and 8

B. 8 and 9

C. 5 and 6

D. 6 and 7

Answers

Answer:

D

Step-by-step explanation:

If you mean the sqrt of 43, then

sqrt 36 is 6

sqrt 49 is 7,

since sqrt of 43 is between sqrt 36 and sqrt 49,

sqrt of 43 is between 6 and 7

The answer will be 8 and 9

Mrs. Dombrowsky bought 27 books for the
class. What was the cost for one book if she
spent a total of $67.50?

Answers

Answer:

$2.50

Step-by-step explanation:

67.50/27 = 2.50

Answer:

$2.50

67.50/27 = 2.50

Step-by-step explanation:

let z - 2 be an odd integer, is z+1 odd or even? explain

Answers

Answer:

Even

Step-by-step explanation:

If z-2 is an odd integer, that means z itself is an odd integer because very other integer is odd. Next, an odd integer + 1 is always an even integer. Therefore, z + 1 is an even integer.

Which situation could the equation -3*20=-60 represent?

Answers

Answer:

total temp of 20 winter days

Step-by-step explanation:

There are 13 plates and 9 cups on a shelf in a cabinet. what is the ratio of the number of plates to the number of cups

Answers

Answer:

[tex]13 \: \: \: \: : \: \: \: \: 9[/tex]

Step-by-step explanation:

[tex]plates = 13 \\ cups = 9[/tex]

So the ratio of the number of plates to the number of cups.

[tex]plates \: \: \: \: \: : \: cups \\ \: \: \: \: \: \: \: \: 13 \: \: \: \: \: \: \: \: : \: \: 9[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Other Questions
Consider the following 2011 data for Newark General Hospital (in millions of dollars):__________. Static Flexible Actual Budget Budget Results Revenues $4.7 $4.8 $4.5Costs 4.1 4.1 4.2Profits 0.6 0.7 0.3Calculate and interpret the profit variance.=Actual profit-Static profit=$0.3-$0.6=-$0.3There is an unfavorable profit variance which means that the company earned less that it prepared for.Calculate and interpret the revenue variance.=Actual revenues-Static Revenues=$4.5-$4.7=-$0.2There is an unfavorable revenue variance, because the company sold less than it planned for.Calculate and interpret the cost variance.=Static Cost-Actual Cost=4.1-4.2=-$0.1There is an unfavorable cost variance, this means that the company spent more than it planned for.Calculate and interpret the volume and price variances on the revenue side.Volume variance=Flexible Revenue-Static Revenue=$4.8-$4.7=$0.1Favorable because the company sold more units than it planned for.Price variance=Actual Revenues-Flexible Revenues=$4.5-$4.8=-$0.3The answer is unfavorable because the company sold it products at a lower price than plan which might have actually resulted to the increase in actual volume sold.Calculate and interpret the volume and management variances on the cost side.Volume variance=Static cost Actual Cost=$4.1-$4.1=$0Favorable which means that regardless of the fact that the company sold more units, the company produce the same number of units it plan for.Management variance=Flexible Cost Actual Costs =$4.1-$4.2=$0.1This is unfavorable which means maybe as a result of the higher units sold, the company had to spend more in servicing these units resulting to cost inefficiency for the period.How are the variances calculated above related?The above variances are associated, as the increase in volume, should increase the revenue and cost proportionality. 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