Find the 61st term of -12, -28, -44,

Answers

Answer 1

Answer:

[tex]a_{61}=-972[/tex]

Step-by-step explanation:

Arithmetic Sequences

The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.

The equation to calculate the nth term of an arithmetic sequence is:

[tex]a_n=a_1+(n-1)r[/tex]

Where

an = nth term

a1 = first term

r   = common difference

n  = number of the term

We are given the first terms of a sequence:

-12, -28, -44,...

Find the common difference by subtracting consecutive terms:

r = -28 - (-12) = -16

r = -44 - (-28) = -16

The first term is a1 = -12. Now we calculate the term n=61:

[tex]a_{61}=-12+(61-1)(-16)[/tex]

[tex]a_{61}=-12-60*16=-12-960[/tex]

[tex]\mathbf{a_{61}=-972}[/tex]


Related Questions

-5x + y = -6

7x + 2y = 39

Answers

Answer:

x=3, y=9

Step-by-step explanation:

Mulriplying the first equation by 2 yields -10x+2y=-12.

Subtracting the second equation from this gives -17x=-51, and thus x=3.

Substituting this back into the first equation gives -15+y=-6, and thus y=9.

An oxygen mask is placed on a patient. Oxygen is administered to the patient for 5 minutes. Then the oxygen
mask is removed and the amount of oxgyen in the body decreases exponentially. Which graph best describes the
amount of oxygen in the patient's bloodstream beginning with the moment when oxygen is first administered?

Answers

What graph I think you forgot the picture

What is long division answer to 6 divided by 92

Answers

The answer is 0.065217391304348

There are 36 students in Mr. Barrett's math class. If 25% of the students are boys, how many students are girls?

Answers

Answer:

27 of the students are girls

CAN SOMEONE HELP ME WITH THIS??? I WILL MARK BRAINLIEST!!!

Answers

Answer:

no

Step-by-step explanation:

it has no number behind it so it is just 12 which is a integer

Answer:

Amelia is correct.

According to Google, an integer is a whole number, not a fraction. Therefore, she is correct.

In a random sample of 300 people in a town, 193 were female. What is the sample portion of female

Answers

Answer: 0.643

Step-by-step explanation:

There are 300 people and 193 were female.

The sample portion that is female is therefore;

= 193/300

= 0.643

cark earned grades of 62, 78, 59, and 89 on four tests.


what is the mean of his grades​

Answers

Answer:

72

Step-by-step explanation:

mean=average. to get average, you add up the numbers and divide by how many numbers. they add upp to 288 and since theres 4 test grades, divide by 4 to get 72.

i think the answer is 579

Help me out real fast pleaseeeeeeee

Answers

Answer:

25/6 = 4 1/6

Step-by-step explanation:

what you do is 5/6 times 5 i am pretty sure this is right

Answer:

B. 4 1/6

Step-by-step explanation:

1. Identify your key factors:

Terrance: 5

Brother: 5/6

2. Let's make them both fractions:

T: 30/6  B: 5/6

3. Now subtract the difference:

30/6-5/6

25/6

4. Simplify:

4 1/6

Please help don’t pass this question please help me out !

Answers

Answer: I think it is (D)

Step-by-step explanation: Its hard to explain but I hope this helps anyways!

Answer:

I think its D to so I would go with that

Try it Create 3 different fractions that are equivalent to 0. Press Check after each one. 0 Fractions equivalent 1 4 0 Incorrect. Make sure both bars are shaded equally Check Previous Activity General (Science - S... P Foundational Math .... Marlon Porter Proje.....​

Answers

Answer:

0/2 0/5 0/10

Step-by-step explanation:

Any legal fraction (denominator not equal to zero) with a numerator equal to zero has an overall value of zero.

NEED HELP ASAP!!!! WILL MARK BRAINLIEST!!!!!

Which statement best compares the rate of change of the two functions?

O The rate of change of both functions is 2

O The rate of change of both functions is 3.

O The rate of change of function A is greater. than the rate of change of function B.

O The rate of change of function B is greater than the rate of change of function A.​

Answers

Answer: The rate of change is 2

Step-by-step explanation:

Divide the Y by X for each of them and they all are 2

34 divided by 523.6




Answer

Answers

Answer:

0.06493506493

Step-by-step explanation:

Answer:

0.064935065

Step-by-step explanation:

Q5)
DES
ABCD is a trapezium. Lines AB and DC are parallel to each other.
GRADI
B
Find the values of x and y.
5x
(4y - 12º)
(4x -- 9°)
(2y
D
С
Diagram not accurately drawn

Answers

5x + 4 - 12 + 4x - 9 + 2y=360

Solve the equation

1/2 k + 2 = 5 + 5/6 k

a. 2 1/4
b. -9
c. 9
d. -21

Please select the best answer from the choices provided​

Answers

Answer:

1/2k+2=5+5/6k

-3 = 5/6k-1/2k

-3=2/6k

k= -9

Final Answer: [tex]k = -9[/tex]

Steps/Reasons/Explanation:

Question: Solve the equation [tex]\frac{1}{2} k + 2 = 5 + \frac{5}{6}k[/tex]. Please select the best answer from the choices provided​.

[tex]a.[/tex] [tex]2\frac{1}{4}[/tex]

[tex]b.[/tex] [tex]-9[/tex]

[tex]c.[/tex] [tex]9[/tex]

[tex]d.[/tex] [tex]-21[/tex]

Step 1: Simplify [tex]\frac{1}{2}k[/tex] to [tex]\frac{k}{2}[/tex].

[tex]\frac{k}{2} + 2 = 5 + \frac{5}{6}k[/tex]

Step 2: Simplify [tex]\frac{5}{6}k[/tex] to [tex]\frac{5k}{6}[/tex].

[tex]\frac{k}{2} + 2 = 5 + \frac{5k}{6}[/tex]

Step 3: Multiply both sides by [tex]6[/tex] (the LCM of [tex]2, 6[/tex]).

[tex]3k + 12 = 30 + 5k[/tex]

Step 4: Subtract [tex]3k[/tex] from both sides.

[tex]12 = 30 + 5k - 3k[/tex]

Step 5: Simplify [tex]30 + 5k - 3k[/tex] to [tex]30 + 2k[/tex].

[tex]12 = 30 + 2k[/tex]

Step 6: Subtract [tex]30[/tex] from both sides.

[tex]12 - 30 = 2k[/tex]

Step 7: Simplify [tex]12 - 30[/tex] to [tex]-18[/tex].

[tex]-18 = 2k[/tex]

Step 8: Divide both sides by [tex]2[/tex].

[tex]-\frac{18}{2} = k[/tex]

Step 9: Simplify [tex]-\frac{18}{2}[/tex] to [tex]-9[/tex].

[tex]-9 = k[/tex]

Step 10: Switch sides.

[tex]k = -9[/tex]

~I hope I helped you :)~

ABCDE is a regular pentagon. Find each lettered angle measure.

Answers

Answer:

x° = 36°, y° = 36°, z° = 72°

Step-by-step explanation:

Each interior angle of a regular polygon is given by the following formula;

Interior angle = (n - 2)×180°/n

Where;

n = The number of sides on the polygon

For the pentagon, we have;

n = 5, therefore;

Interior angle = (5 - 2)×180°/5 = 108°

ΔDCA is an isosceles triangle, with the segments CD and CA being equal, therefore;

∠ADC = ∠DAC = x°, and ∠ACD = 108°

Therefore

x° = (180° - 108°)/2 = 36°

x° = 36°

∠BAC = 2·x° + y° = 108°

∴ y° = 108° - 2·x° = 108° - 2 × 36° = 36°

y° = 36°

ΔADE is an isosceles triangle, with segments AD and AE equal, therefore, the base angles are z° each

Therefore, in ΔADE, we have;

z° = (180° - 36°)/2 = 72°

z° = 72°

Can someone help me please

Answers

Answer:

7920

Step-by-step explanation:

all you have to do is just multiply the the feet in a mile by how any miles there are so basically

=> 1.5 * 5280 = 7920

Answer:

7,920 ft

Step-by-step explanation:

1.5 miles

1 mile = 5,280 feet

1.5 × 5,280 = 7,920 ft

or

5,280 ÷ 2 = 2,640

2,640 + 5,280 = 7,920 ft

Help please.....its due today

Answers

Heyyy the error is -X where it happened was they didn’t do -4x-3x which get you -7x it supposed to look like this “2x^2y+xy^2-7x not 2x^2y+xy^2-x

“I hope this help us need anything just come back to me”

Which graph represents the function f(x)=2.4?

Answers

Answer:

show the graph then we can fingerite out

Step-by-step explanation:

we will have to see the graph then we can see what we are working with




5 to the negative 3rd power ​

Answers

Answer:

1/125

Step-by-step explanation:

[tex](5)^{-3}\\\\=\frac{1}{5^3}\\\\=\frac{1}{125}[/tex]

find the angle measure of minor arc MP.

Answers

Step-by-step explanation:

Angle at center = 2 * Angle at circumference.

Angle MNP = 2 * Angle MQP = 30°.

Hence the angle measure of minor arc MP is 30°.

Answer:

30 degrees

Step-by-step explanation:

arc measure in degrees is twice the measure of the inscribed angle

Find the probability pulling a Cub suited card from a deck of playing cards. ​

Answers

The probability of drawing a club is 13/52. The probability of drawing a face card is 12/52. However, three of the clubs are also face cards, so there are only 22 of the 52 cards that are either clubs or face cards.

Which graph represents the function h(x) = |x| + 0.5? ​

Answers

Answer:
On a coordinate plane, an absolute value graph has a vertex at (negative 0, 0.5).
Step-by-step explanation:
h(x) = |x| + 0.5
Has its vertex at h(x) = 0, h(x) = |x| + 0.5
0 = |x| + 0.5
|x| = -0.5
So x = -0.5
So, the vertex is at (-0.5, 0)

Answer:

B

Step-by-step explanation:

Help quickly as possible thank you :) ​

Answers

Answer:

50/100 and .50

Step-by-step explanation:

Answer:

you can write it like 1/2 I don't know the other one sorty

Please answer A and B!!!

Answers

Answer:

7 and 2

Step-by-step explanation:

i did this before i know

Plz Help!!!
Will Give Brainliest to the First Person that answers!!!

Answers

Answer:

20

Step-by-step explanation:

can u pls help me with this question ​

Answers

I believe it is 8 if not I’m sorry

find sq.root of 19.537 by division method?​

Answers

Answer:

4.42 is the answer........

Step-by-step explanation:

Im not sure

The box-and-whisker plot shows the number of books read by history students
during the last school year.
+
2.
3
4.
5
6
7
8
g
9
10
11
12
13
14
15
16
What is the range of the data?

Answers

Answer:

43

Step-by-step explanation:

The range of the data is 14.

What is a boxplot?

A boxplot is defined as a common method for visualizing data distribution based on a five-number summary. (minimum, first quartile (Q1), median, third quartile (Q3), and maximum).

Given that,

The box-and-whisker plot shows the number of books read by history students during the last school year.

The box extends from 4 to 15 on the number line.

There is a vertical line at 8, median = 8.

The whiskers end at 4 and 15,

So, minimum of data = 4 and maximum of data = 15.

∵ Range = maximum of data - minimum of data

Range = 15 - 4

Range = 11

Hence, the range of the data is 14.

Learn more about boxplot here :

https://brainly.com/question/24834228

#SPJ2

Help pls I'm really busy and if I get ur help you will make my whole day :(

Answers

Answer:

1.) 7 ft = 84 in   2.) 100 yd= 300 ft  3.) 96 oz= 6 lbs  4.) 32 fl oz= 4 c  5.) 48 oz            6.) 80,000 lbs

Step-by-step explanation:

You have to use conversation rates.

1. 84

2. 300

3. 6

4. 4

5. 48

6. 80,000

Step-by-step explanation: I hope this made your day ツ

i will give brainliest to whoever answers thiss!!

Answers

Answer:

y=3

Step-by-step explanation:

-5y=-11-4

-5y=-15

y=-15/-5

y=3

Hope this helps u...

Answer:

y=3

Step-by-step explanation:

Other Questions
the radius of a spare whose surface area is 17 whole one over nine True or false: The British help the Indians at Fort Miami Hey guys I just want an opinioon on this- its my final and I need it to look presentable Empareja la frase con el verbo correcto. Match the sentence with the correct form or the verb.Match Term DefinitionDurante los festivales patronales, el gobierno local ________ cerrado. El festival de Inti Raymi, que es un homenaje a los dioses incas, ________ en Cuzco, Per. Los viajeros que ________ interesados en las procesionales religiosas van a la Semana Santa de Espaa.Algunos disfraces del Carnaval ________ de plumas. A) esB) estnC) sonD) est Which of the following statement is true about all cells? PLEEASEEEE HELP ASAP WILL GIVE BRAINLIST TO WHO EVER IS FIRST Jake has a balance of -$142 in his bank account. After he deposited $550 into the account, what was Jake's new balance A.$0B.$358C.$642D.$368 Transform the following formulas as indicated. A = bh, solve for h a=1/2h (a+b), solve for b The model y=1.8x76.9 represents the relationship between the temperature (F) and the number of ice cream cones sold. Using the model, approximate the temperature when there are 95 ice cream cones sold. Round your answer to the nearest tenth. Which ended slavery in the United States? Do saving and loans associations have different categories? how would history as we know it be different if the American revolution never occurred? True or False? a human has 23 chromosomes The area of a rectangle is 36 square meters. If the length of the rectangle is 3, what is the width? a12 b15 c108 d9 Fill in the blanks. Remember to spell correctly. Since 1999, Canada now has a new territory called _____ , which is run by the _____ people. 1) A region of the country is rapidly growing in population, causing the demand for electricity to go up each year. As a result, a new source of electricity is needed. This particular region of the country has plenty of agriculture, rivers, and access to coal deposits underground. Which of the following would be the cheapest way for this region of the country to make electricity, have minimal impact on the environment, yet not add carbon dioxide to the atmosphere?Group of answer choicesA)Use the agriculture biomass to generate a renewable fuel that can be burned to generate electricityB)Use the coal deposits to generate electricity in a few coal fired facilitiesC)Build a nuclear power plant in the middle of the regionD)Build dams along the rivers to generate electricity2)The image provided shows a partial river food web. The local town relies on this river ecosystem to sustain their population both economically and as a source of food. Using the food web provided, which statement provides the best reasoning for regulating the amount of fish removed from the river by humans. Group of answer choicesA)Regulation will help the ecosystem to remain balanced and contribute to the stabilization of other populations of river organisms.B)Regulation will increase the amount of energy transferred from the catfish to the eagle.C)Regulation will allow contaminated sediments to decrease in the river due the removal of the contamination source.D)Regulation will ensure that carp will not overpopulate the ecosystem and begin to consume larger organisms like the salmon. Russia's currency is called the ruble, and is denoted with this symbol: Rub. An electrical contractor has Rub850,360 in his business's bank account.If at the end of the week he deposits Rub119,980 in payments made from clients and then pays out Rub79,205 in wages, how much money will he have left in his account? if I would have 160$ and was discounted by 75 percent and if used a PROMO CODE and it gave me 10 percent off how much would I have What's the x that will make the fraction greater than or equal to 75%Please show the thought process to get to x=161/5 = 20%x-4/x >= 75% (x => 16. 12/16 = 75%)Thanks,Merry Christmas A timeline explaining the novel murder at midnight Only 5 slotsI need by 11:59 At a concession stand 6 hot dogs cost $6.72. At this rate, how much would 8 hot dogs cost, in dollar sand cents?