What is the 22nd­ term of the arithmetic sequence ­­­ ­ ­ ­­ ­ ­ ­ ­­ 12 , 17 ,­ 22 , 27 , .... , .... , ....

Answers

Answer 1

Answer: 117

Step-by-step explanation:

Formula for arithmetic sequence is:

= a + (n - 1)d

22nd term = a + (n - 1)d

= a + (22 - 1)d = a + 21d

where, a = 12

d = 17 - 12 = 5.

Therefore, 22nd term will be:

= a + 21d

= 12 + 21(5)

= 12 + 105

= 117

The 22nd term is 117


Related Questions

AMY RAN 20 MILES MORE THAN JIMMY LAST WEEK, AMY
RAN 32 MILES. HOW MANY MILES DID JIMMY RUN?
Algebra math show your work

Answers

Answer:

Jimmy ran 12 miles last week.

Step-by-step explanation:

32-20=12

Nancy works at Yogurty's for $5.35 an hour. Last week, she worked 30 hours.
a) How much did she earn?
b) Nancy received a 25¢/hour raise this week. She worked 25 hours. How much did she earn?

Answers

Answer a) $160.5
Answer b) $140
answer for A:

$160.50

explanation:

she worked for 30 hours so that means she earned $5.35 per hour. so all you have to do here is $5.35 x 30 which gives you $160.50.


Answer for B:

$140

explanation:

25¢ is the same as $0.25 so first of all, add 0.25 onto $5.35 which gives you $5.60.

Now, (this is just the same equation as part A but with different numbers), since she earns $5.60 per hour and worked 25 hours, all you have to do it $5.60 x 25 which gives you $140.


Hope this helps :)

Mrs. King has earned a pay increase. Her starting salary
was $36,000. Her new salary is 110% of her starting salary.
What is her new salary?

Answers

Answer:

39,600

Step-by-step explanation:

Free answer

Gerardo works at an ice cream shop each flavor of ice cream is stored in a right cylindrical tub that measures approximately 9 inches high with a radius of 5 inches Gerardo uses an ice cream scoop that makes spherical scoops of ice cream with a diameter of 2.5 inches If gerardo opens a new tub of chocolate ice cream and scoops 37 scoops of chocolate ice cream about how much chocolate ice cream in cubic inches is left in the tub

Answers

Answer:

Volume left = 404.32 cubic inches

Step-by-step explanation:

volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h

volume of ice cream in the cylindrical tub = [tex]\frac{22}{7}[/tex] x [tex]5^{2}[/tex] x 9

                                           = [tex]\frac{22}{7}[/tex] x 25 x 9

                                           = 707.1429

Volume of ice cream in the cylindrical tub is 707.14 cubic inches.

The ice cream scoop has a spherical volume, so that;

volume of a sphere = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]

r = [tex]\frac{2.5}{2}[/tex]

 = [tex]\frac{5}{4}[/tex] inches

volume of the scoop = [tex]\frac{4}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex](\frac{5}{4} )^{3}[/tex]

                                  = [tex]\frac{4}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex]\frac{125}{64}[/tex]

                                  = 8.1845

volume of the scoop is 8.19 cubic inches.

If he scoops 37 scoops,

volume of the 37 scoops = 37 x 8.1845

                                          = 302.8265

volume of 37 scoops is 302.83 cubic inches.

Volume of ice cream left in the tub = 707.1429 - 302.8265

                                                           = 404.3164

Volume of ice cream left in the tub is 404.32 cubic inches.

140% of 15 step explanation?

Answers

Answer:

21

Step-by-step explanation:

Write the problem as a mathematical expression.

140% ⋅15

Convert  140 %  to a decimal.

1.4 ⋅15

Multiply 1.4 by 15.

21

Hope that helps!

Which of the following statements about the similarity between rectangles and squares is not true?
Both rectangles and squares are quadrilaterals.

Both rectangles and squares have two sets of parallel sides.

Both rectangles and squares have four right angles.

Both rectangles and squares have four sides of equal length.

Answers

Answer:

Both rectangles and squares have four sides of equal length

What is the rock cycle? Select the best two answers from the choices below.

a
The primary indicator of climate change
b
A series of processes that create and transform the types of rocks in Earth's crust
c
A concept in geology that describes transitions and relationships among the three main rock types
d
A way to show how Earth's different spheres interact with one another

Answers

Answer:

A concept in geology that describes transitions and relationships among the three main rock types

please mark as brainliest.

Answer:

b. A concept in geology that describes transitions and relationships among the three main rock types. and

c. A series of processes that create and transform the types of rocks in Earth's crust

Step-by-step explanation:

ive studied and this is correct because i took the test and i  got it correct

please give me 5 stars

PLEASE HELP I WILL MARK BRAINLIEST!!

Answers

Answer:

79 degrees.

Step-by-step explanation:

There are 7 total temperatures, 68, 82, 81, 82, 74, 75, and 91 degrees. To find the mean, we add all of the temperatures together and divide it by the number of tempuratures-- 7.

68+82+81+82+74+75+91 = 553.

553 / 7 = 79.

Hope this helps!

Which of the following correctly shows the length of each radius, the point where the circles intersect, and the equation of the tangent line at this point?

Answers

Answer:

Length of the radii of the circles → 4 units and 1 unit

Equation of common tangent → x = 4

Step-by-step explanation:

From the figure attached,

Length of radii of each circles are,

Radius of circle S = 4 units

Radius of circle T = 1 unit

Common point where the circles are touching → (4, 1)

Common tangent to these circles is a line perpendicular to x-axis passing through x = 4,

Equation of the tangent will be,

x = 4

Can someone please help me with math oh ya no links pls

Answers

I think its option c, if you reflect it over the y axis it will be right above it and if you go 270 degrees counter clockwise thats like going from 9 pm to 12 am

12 am is right above 9 pm but it occurs before 9pm.

Find the value of x
X

Answers

Answer:

20 or 18

Step-by-step explanation:

The value of x is 10.

What is proportion?

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

From the triangle it can be assume that ΔPSR is similar to ΔPQR.

Then, the ratio of corresponding sides of triangles are proportion.

So, PQ/ PS = QR/ RS

9/15 = 6 /x

9x = 90

x= 90/9

x= 10

Thus, the value of x is 10.

Learn more about proportion here:

https://brainly.com/question/29774220

#SPJ2

You conduct a survey in your school to find out each student's favorite fast food restaurant, and you want to create a graph showing the percentage of students who chose each restaurant. Which is the appropriate graph? stem-and-leaf
circle graph
line graph
scatter plot​

Answers

Answer:

circle graph

Step-by-step explanation:

A circle graph (pie graph) will show us the percentage the best way.

Answer:

answr is circle graph

Step-by-step explanation:

Hola children help me pls

Answers

Answer:

31

Step-by-step explanation:

The entire straight line is 180 degrees. So, if angle a is 25 degrees we would subtract that from 180. This would give us 155 degrees. You would then add 2x and 3x together to get 5x. 155/5x would be 31. Your x value is then 31.

Answer and Step-by-step explanation:

We know that a is equal to 25.

Let's subtract that from the entire angle measure of line segment AB, which is 180.

180 - 25 = 155.

Now, we need to find the value of x. We can do this by adding together the other two angles, and equal it to 155.

155 = 2x + 3x

155 = 5x

31 = x

So, the value of x is 31.

#teamtrees #PAW (Plant And Water)

find the mole fraction of benzene and toluene in solution containing

(a) equal mass of each

(b) equal molecules of each ​

Answers

Answer:

Hello There!!

Step-by-step explanation:

I think the answer is possibly (b) equal molecules of each .

hope this helps,have a great day!!

~Pinky~

Mrs. Garcia pays all her bills using online banking and maintains a minimum checking balance of $400. She uses her debit card while shopping and at the ATM. Which banking institution is the best deal for her?

A. banking institution that offers free or low-cost checking accounts has online banking and offers a free debit card.
B. A banking institution that has a low fee for checking accounts and $0.25 or less for writing checks.
C. A banking institution that charges a low monthly checking account service fee, has unlimited check writing, and overdraft protection.
D. A banking institution that has no fee for writing checks and a savings account option.

Answers

It’s going to be A good luck!! Hope it’s righti xccde

please find the sum of difference of (-12) + (-38)

will give brainliest

Answers

-50
Signs are same , you need to add them

select all the expressions that equal.. *see picture for problem* ​

Answers

Answer:

Step-by-step explanation:

oknjbgfkdfrgn jnfbfl

Fraccion equivalente a 3/5

Answers

Answer:

3/5 = 6/10 (multiplicando x2)

Step-by-step explanation:

Answer:

[tex]\frac{6}{10} \frac{9}{15 }[/tex] [tex]\frac{12}{20}[/tex]

Use technology to solve for x 3^x -4 = 6x -7

Answers

Answer:

there is no solution for X

Step-by-step explanation:

How many constants are in the word IMPOSSIBLE

Answers

Answer:

6

Step-by-step explanation:

(pls answer this) (no links) (pls explain )

Answers

Answer:

2(3.5g - 4.5h)

Step-by-step explanation:

factoring the expression (i think that what its called) i divided the expression into two and then put two on teh isde of the parenthesis to show that you multiply it again

please help me with this please, this is due in a couple of minutes.

Answers

Answer:

There are 42 dogs and 105 cats at the shelter. To find the number of rabbits, subtract these numbers from the total number of animals at the shelter. So there are 21 rabbits at the shelter.

Step-by-step explanation:

Because there are 168 animals at the shelter and [tex]\frac{1}{4}[/tex] of the animals are dogs, you can infer that there are [tex]\frac{168}{4}[/tex] or 42 dogs at the shelter. The question says that [tex]\frac{5}{6}[/tex] of the remaining animals are cats, which you can get two things from this statement: #1, [tex]\frac{5}{6}[/tex] of the remaining animals (not including dogs) are cats in the shelter. #2, [tex]\frac{1}{6}[/tex] of the remaining animals (not including dogs) are rabbits in the shelter, since that is the remaining number of animals left that aren't cats or dogs. Using this, you can get the number of cats is the number of dogs subtracted by the total number of animals at the shelter and multiplied by [tex]\frac{5}{6}[/tex], which would be  [tex]\frac{5}{6}[/tex](168 - 42) = [tex]\frac{5}{6}[/tex]*126 = 5 * 21 = 105 cats at the animal shelter. Since the number of rabbits is [tex]\frac{1}{5}[/tex] the number of cats in the shelter ([tex]\frac{5}{6}[/tex] = [tex]\frac{1}{6}[/tex] * 5), that means there are [tex]\frac{105}{5}[/tex] or 21 rabbits at the animal shelter, and that we'd need to subtract the number of cats and dogs from the total number of animals at the shelter to find the number of rabbits.

if a car goes 204 miles in 3 hours, how far will it go in 7 1/2?​

Answers

510 miles, 204/3 = 68
68x7.5= 520

Helppp law of sines and law of cosines

Answers

Answer:

[tex]\displaystyle ST ≈ 15,9\\ RT ≈ 30,8 \\ m∠S = 111°[/tex]

Step-by-step explanation:

First off, find [tex]\displaystyle m∠S:[/tex]

[tex]\displaystyle 180° = 58° + 31° + m∠S → 180° = 89° + m∠S \\ 111° = m∠S[/tex]

Now that the third angle has been defined, we can move move forward with solving for a second edge, using the Law of Sines, but before proceeding, here are some things you should know about this triangle:

Edge s [RT] → [tex]\displaystyle m∠S[/tex]Edge t [RS] → [tex]\displaystyle m∠T[/tex]Edge r [ST] → [tex]\displaystyle m∠R[/tex]

Now that we have the information, we can proceed with the process:

[tex]\displaystyle \frac{t}{sin∠T} = \frac{s}{sin∠S} = \frac{r}{sin∠R} \\ \\ \frac{28}{sin\:58°} = \frac{s}{sin\:111°} → \frac{28sin\:111°}{sin\:58°} → 30,82402055... = s \\ 30,8 ≈ s[/tex]

_______________________________________________

Now that RT has been defined, we can now proceed to solving the third edge, using the Law of Cosines:

[tex]\displaystyle s^2 + r^2 - 2sr\: cos∠T = t^2 \\ t^2 + r^2 - 2tr\: cos∠S = s^2 \\ t^2 + s^2 - 2ts\: cos∠R = r^2 \\ \\ 28^2 + 30,8^2 - 2[28][30]\: cos\:31° = r^2 → 784 + 948,64 - 1680\: cos\:31° = r^2 → \sqrt{254,1978397...} = \sqrt{r^2} → 15,94358303... = r \\ 15,9 ≈ r[/tex]

Your triangle is now complete!

I am joyous to assist you at any time.

Answer:

Step-by-step explanation:

In this case, you would use law of sines due due you being given two angles and one side.

LAW OF ANGLES IN TRIANGLES: 180 - a - b = c

So in this case: 180 - 31 - 58 = m<S = 91

LAW OF SINE: sin A / a = sin B / b = sin C / c

So in this case: sin 31 / ST = sin 58 / 28

28 sin 31 / sin 58 = ST = 17.0

sin 58 / 28 = sin 91 / x

28 sin 91 / sin 58 = RT = 33.0

Which algebraic expressions are binomials? Check all that apply. xy x2y – 3x 6y2 – y y2 + 4xy – x2 +

Answers

Answer:

4xy are binomials because it only had one term

Answer:

the answers are B, C, E

Step-by-step explanation:

x2y – 3x

6y2 – y

4xy –  two-fifths

2
A housekeeper had
3
of a spray bottle of a cleaning solution. He used
How much of the bottle did he use?



Answers

Answer: 123

Step-by-step explanation: Stop cheating idiot

Find the area of the shaped region

Answers

Answer:

Assuming π is represented by 3.14, the correct answer is [tex]50.24m^2[/tex].

Step-by-step explanation:

Because the question is asking for the area of the shaded region, you can ignore the non-shaded versions of the diagram. The formula of finding the area of a circle is [tex]\pi r^2[/tex], where r is the radius of the circle. Since the radius of the shaded circle is [tex]4m[/tex], you can infer that the area of the shaded region would be [tex]4^2 * 3.14[/tex] = [tex]16*3.14[/tex] = [tex]50.24m^2[/tex].

What is the median of the data set?
6, 7, 11, 14, 20, 30, 35
A. 7
B. 14
C. 6
D. 35

Answers

Answer:

B

14

I think it is right :D

Step-by-step explanation:

Answer: B, 14

Step-by-step explanation:

The median is the number in the middle of the set if the numbers are in order.

And if there is an odd amount of numbers.

The number in the middle of the list is 14.

If the list doesn't have an odd amount of number you add the 2 middle ones and take the average so divide by 2.

Write the quadratic equation in standard form:
-3x^2 + 2x + 6 = -x^2

Answers

Answer:

Hi! The answer to your question is -2x^2+2x+6=0

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

FIND THE THE
MISSING ANGLE:
31°
29

Answers

Answer:

120°

Step-by-step explanation:

31 + 29 = 60

180 - 60 = 120

42.44 I believe is the answer
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