1. Given that the third and sixth terms of an A.P. are 13 and 22 respectively, find the sum
of the first n terms in terms of n.

Answers

Answer 1

Answer:

1

+t

3

+t

5

=39

t

2

+t

4

+t

6

=51

To find:

t

10

=?

Solution:

Let a be the first term and d be the common difference.

t

1

+t

3

+t

5

=39

or, a+a+2d+a+4d=39

or, 3a+6d=39

or, a+2d=13 .............(i)

t

2

+t

4

+t

6

=51

or, a+d+a+3d+a+5d=51

or, 3a+9d=51

or, a+3d=17

Subtracting eqn. from eqn. we get,

d=4

Putting value d=4 in eqn.(i) we get,

a+2×4=13

or, a=13−8

or, a=5

Now, t

10

=a+9d

t

10

=5+9×4

t

10

=5+36

t

10

=41


Related Questions

Help its due soon pls

Answers

Answer:

D

Step-by-step explanation:

The dots make a trapozoid

a. 50
b. 30
c. 80
d. 180

Answers

Answer:

50 degrees

Step-by-step explanation:

All of the angles in the picture need to add up to 180 degrees.

<TVU = 30 degrees, so the 3 remaining angles need to add up to 150 degrees.

<QVR is = to <RVS  and <RVS is = to <SVT, so all 3 angles are = to each other

<QVR = <RVS = <SVT

We have 150 degrees remaining & all 3 angles have to be the same, so each angle is 50 degrees

A 50
Have a good day

The temperature on Tuesday was -8°C. The temperature decreased another 9°C throughout the night. What was the temperature on Wednesday morning?

Answers

-17*C

Step-by-step explanation:

It's decreases so it's going to be colder

Start-8

1) - 9

2) - 10

3) - 11

4) - 12

5) - 13

6) - 14

7) - 15

8) - 16

9) - 17

Or

-8-9= - 17

Hope this helps!

please help me with this problem.​

Answers

Answer:

X = 81

Missing angle measurement = 73 Degrees

Step-by-step explanation:

Sense the angle presented is a strait angle, meaning it has an exact mesurment of 180°

You can take the known portion of 107° and subtract that from 180°, giving you 73°

To find X you take the missing angle's value and add 8, leaving you with 81

What is 0.12 as a percent?
0.12%
120%
1.20%
12%

Answers

Answer:

12% :)

Step-by-step explanation:

0.12 x 100 = 12%

Have an amazing day!!

Please rate and mark brainliest!!

Answer is 12%, because you multiply the decimal value by 100 and add a percent symbol.

I need help, I'll give Brainest ​

Answers

Answer:

it should be cost, because when there is more quantity of something there will be less price.

I need help pls ..,...

Answers

E. 21The previous chart on your question showed eight people being 7, nine people 11, and four were 13

                                        Add the values together

                                                     8 + 9 + 4

                                                          21

pls help me and if you dont know the answer dont answer this ​

Answers

Answer:

x - 40

Step-by-step explanation:

3[tex]x[/tex] = 120

[tex]\frac{3x}{3\\}[/tex] = [tex]\frac{120}{3}[/tex]

[tex]x[/tex] = 40

By the Vertical Angle theorem,

    ⇒ [tex]3x = 120[/tex] ⇒ [tex]x = 40[/tex]

Definition of Vertical Angle Theorem: angles that are opposite each other and formed by two intersecting straight lines, are congruent. (look at diagram)

Thus x = 40

Hope that helps!

A squirrel burled four holes in five minutes how many holes could this world borrow in 15 minutes

Answers

Answer:

20 i'ma say 20

Step-by-step explanation:

Explanation

Is it A, B, C, or D? I need help, please.

Answers

Answer:

D. 0

Step-by-step explanation:

|9 - 5| = |4|, which equals 4. |5 - 9| = |-4|, which also equals 4.

4 - 4 = 0.

If your answer is in absolute value and it is negative, the outcome will always be positive. Hope this helps.

A recent survey showed that 91 full-time employees out of a sample of 500 did not use all of their vacation days last year. However, 105 of those studied expressed a desire for more vacation time. Based on this sample, if a full-time employee is chosen at random, what is the probability that he or she is content with the vacation allowance? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth

Answers

Using it's concept, it is found that there is a 0.79 = 79% probability that he or she is content with the vacation allowance.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, 500 - 105 = 395 out of 500 employees are content with the vacation allowance, hence:

p = 395/500 = 0.79.

There is a 0.79 = 79% probability that he or she is content with the vacation allowance.

More can be learned about probabilities at https://brainly.com/question/14398287

what is the slope intercept of the equation y = -x + 12?

Answers

Answer: b) slope: -1, y-intercept 12

Step-by-step explanation:

The equation here is in slope-intercept form (y=mx+b)

In slope-intercept form m is the slope and b is the y-intercept

m=-1 and b=12 so the answer is b

Answer:

slope: -1, y-intercept: 12

Solution:The given equation is written in slope-intercept form, y=mx+b, where m is the slope and b is the y-intercept.You can quickly identify the slope & y-intercept of a line whose equation is in slope-intercept form.The slope is the coefficient of x (the number before x) and the y-intercept is a constant added to/subtracted from the slope.Therefore, m is equivalent to -1, and b is equivalent to 12.

Hope it helps.

Do comment if you have any query.

Jill invested $500 in an account with a compound interest rate of 6%. cheryl invests $600 in an account with a compound interest rate of 4%.find out in how many years each doubles her money. using the rule of 72, t = startfraction 72 over r endfraction, what is the difference in the number of years to double their money?

Answers

The time taken by Jill and Cheryl to double their money is 12 years and 18 years respectively.

What is Algebra?

Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.

Jill invested $500 in an account with a compound interest rate of 6%.

Cheryl invests $600 in an account with a compound interest rate of 4%.

The number of years each doubles their money. Using the relation of 72.

[tex]\rm t = \dfrac{72}{r}[/tex]

where r is the interest rate and t be the time

The time for the Jill will be

[tex]\rm t = \dfrac{72}{6}\\\\t = 12\\[/tex]

The time for the Cheryl will be

[tex]\rm t = \dfrac{72}{4}\\\\t = 18\\[/tex]

More about the Algebra link is given below.

https://brainly.com/question/953809

Each equation represent a proportional relationship. Choose the equation for which the constant of proportionality is 4/5

Answers

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

[tex]16x-20y=0\implies -20y=-16x\implies y=\cfrac{-16x}{-20}\implies y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{4}{5}}x \\\\[-0.35em] ~\dotfill\\\\ 25y=20x\implies y=\cfrac{20x}{25}\implies y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{4}{5}}x \\\\[-0.35em] ~\dotfill\\\\ y=0.8x\implies y=\cfrac{8}{10}x\implies y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{4}{5}}x[/tex]

Which equation accurately represents this statement? Select three options.

Negative 3 less than 4.9 times a number, x, is the same as 12.8.
Negative 3 minus 4.9 x = 12.8
4.9 x minus (negative 3) = 12.8
3 + 4.9 x = 12.8
(4.9 minus 3) x = 12.8
12.8 = 4.9 x + 3

Answers

Answer:

See below ~

Step-by-step explanation:

Writing the equation

Negative 3 less than 4.9 times a number, x, is the same as 12.8⇒ 4.9x - (-3) = 12.8⇒ 4.9x + 3 = 12.8

Solutions

4.9x minus (negative 3) = 12.83 + 4.9 x = 12.812.8 = 4.9 x + 3

= 10 × (7 − 2
3
) + 40 × 10−1

Answers

Answer:

239

Step-by-step explanation:

239 because do the answers in the parenthesis first then do the rest.


help need in 30 minute

Answers

Answer:

8 bracelets

Step-by-step explanation:

Each time when we we cut the ribbon for making a ribbon, the length will be reduced. So, repeated subtraction is division.

To find the number of bracelets, divide the total length of the ribbon by the length required for making a bracelet.

Fraction division:

Use KCF method

Step1: Keep the first fraction

Step2: Change division to multiplication

Step3: Flip the second fraction

Number of bracelets = total length ÷ length required for making a bracelet.

                                  [tex]= 5\dfrac{1}{3} \div \dfrac{2}{3}\\\\= \dfrac{16}{3} \div \dfrac{2}{3}\\\\= \dfrac{16}{3}*\dfrac{3}{2}\\\\= 8[/tex]

A 6 sided die and a coin is tossed, how many different possible outcomes are there? Need help ASAP!!

Answers

Answer:

the answer is 12

Step-by-step explanation:

you toss the dice and coin let’s say it lands on 2 and heads there is one possibility. there is only 6 sides to the dice and 2 sides to a coin. 6 x 2 = 12.

Answer: coin = 26 sided die = 62 × 6 = 12


Step-by-step explanation: When you flip a coin there are two possible outcomes (heads or tails) and when you roll a die there are six outcomes(1 to 6). Putting these together means you have a total of 2×6=12 outcomes. The answer would be 12. Hope that helps!!

Please help me with this math problem! Will give brainliest!! :)

Answers

Step-by-step explanation:

a.

[tex]f(2) = 0[/tex]

b.

[tex]f(x) = 4 \\ f(5) = 4 \\ x = 5[/tex]

c.

[—3,2] union [3.4, 4]

a hummingbirds brain has the weight of approximately 2.94x10-3. a elephants brain has the weight of 1.76x10^. approximately how many times heavier is the elephants brain

60

600

6,000

60,000

Answers

Answer:

60000

Step-by-step explanation:

HELP ITS MATH ITS FOR MY COUSIN RN

Answers

Answer:

Option D: $32.50

Step-by-step explanation:

3 × 8.50 = 25.50

2 × 5 = 10

[25.50 + 10] - 3

[35.50] - 3

= $32.50

4(1+4n)
how do i solve this

Answers

Answer:

4 + 16n

Step-by-step explanation:

4 (1 + 4n)

Use the distributive property & expand the expression .

= (4*1) + (4*4n)

= 4 + 16n

________

Hope it helps ⚜

Answer:

[tex]\Longrightarrow: \boxed{\sf{4+16n}}[/tex]

Step-by-step explanation:

Use the distributive property.

Distributive property:

⇒ A(B+C)=AB+AC

4(1+4n)

Multiply expand.

4*1=4

4*4n=16n

Rewrite the expression down.

= 4+16n

Therefore, the correct answer is 4+16n.

I hope this helps! Let me know if you have any questions.

Please help! Will mark brainlyest.

Answers

Should be 3) have a wonderful day

This equation shows a way to find a fraction equivalent to 2032
2
0
3
2
.

Enter numbers below to correctly complete the equation.

Answers

Answer:

Given Below.

Explanation:

[tex]\sf \dfrac{20}{32} = \dfrac{20}{32} \ \div \ 1 = \dfrac{20\div 4}{32 \div 4} = \dfrac{5}{8}[/tex]

Follow the sequence. and divide the multiply the following fraction.

32 ÷ ? = 8? = 4

=======

20 ÷ 4 = 5

Answer:

[tex]\sf \dfrac{20}{32}=\dfrac{20}{32} \div 1=\dfrac{20 \div 4}{32 \div 4}=\dfrac{5}{8}[/tex]

Step-by-step explanation:

When reducing fractions to their simplest equivalent, we need to divide the numerator and denominator by their highest common factor.

Factors of 20:   1, 2, 4, 5, 10, 20

Factors of 32,    1, 2, 4, 8, 16, 32

Therefore, the highest common factor is 4.

[tex]\sf \dfrac{20}{32}=\dfrac{20}{32} \div 1=\dfrac{20 \div 4}{32 \div 4}=\dfrac{5}{8}[/tex]

List three diffrent ways to write 5^11
I have already got 5x5x5x5x5x5x5x5x5x5x5

Answers

Answer:

Other than your answer...

Step-by-step explanation:

5^6 x 5^5

48,828,125

5^2 x 5^9

hope this helps :)

What is the largest integer value less than 17 ?
HELP PLEASE

Answers

Answer:

16

Explanation:

Let "x" be the number

===========

x < 17

integers less than 17 are 16, 15, 14, 13, 12, 11, 10, 9, ...

⇒ integers are whole numbers, not negative, does not include decimals or fractions.

So,

16 is the largest integer which is less than 17

16 < 17

Guys please help questions 7-8-9-10 are also on my page please!!

Answers

Step-by-step explanation:

4.since two sides are congruent and two angles are equal so they are similar and we can say:

[tex] \frac{14}{42} = \frac{7}{x} \\ x = 21[/tex]

DF is 21

5.since two sides are congruent and two angles are equal so they are similar and we can say:

[tex] \frac{6}{9} = \frac{10}{x} \\ x = 15[/tex]

EF is 15

6.

[tex]since \: \: \frac{4}{20} = \frac{6}{30} \: \: so \: we \: can \: say \: they \: are \: similar \: so \: we \: have \\ \\ \frac{4}{20} = \frac{5}{x} \\ \\ x = 25[/tex]

DF is 25

Please help this is my last time asking these 2 questions I need the correct answers no more fake links pls

Answers

Answer for 1st question:

The answer is A. 4/20

Step-by-step explanation:

The probability of landing on a vowel would be 2/5.

The probability of landing on an even number would be 2/4.

Now we just need to solve the probability of landing on a vowel and an even number.

2/5 x 2/4 = 4/20.

Thereore, the probability of landing on a vowel and an even number is 4/20.

Answer for 2nd question:

The answer is B. 1/20

Step-by-step explanation:

The probability of landing on a C would be 1/5.

The probability of landing on a 4 would be 1/4.

Again, we just need to solve the probability of landing on a C and a 4.

1/5 x 1/4 = 1/20.

Therefore, the probability of landing a C and a 4 is 1/20.

Which equation demonstrates the additive identity property? (7 4 i) (7 minus 4 i) = 14 (7 4 i) 0 = 7 4 i (7 4 i) (1) = 7 4 i (7 4 i) (negative 7 minus 4 i) = 0

Answers

An equation is formed of two equal expressions. The equation that demonstrates the additive identity property is (7+4i)+0 = (7+4i).

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The additive identity property states that any number when added to 0, the result is the number itself. Therefore, the equation that demonstrates the additive identity property is (7+4i)+0 = (7+4i).

Learn more about Equation:

https://brainly.com/question/2263981

Answer: B on edge

Step-by-step explanation:

What is 2 log subscript 5 baseline (5 x cubed) one-third log subscript 5 baseline (x squared 6) written as a single logarithm?

Answers

The value of logarithm expression 2log₅(5x³) + (1/3)log₅(x² + 6) is simplified as log₅[{25x⁶}{∛(x² + 6)}].

What is a logarithm?

Logarithms are another way of writing exponent. A logarithm with a number base is equal to the other number. It is just the opposite of the exponent function.

The logarithmic expression is given as

[tex]2\log _55x^3 + \dfrac{1}{3} \log _5(x^2 +6)[/tex]

We know that formulas

[tex]a \log b = \log b^a\\\\\log a + \log b = \log ab[/tex]

Then we have

[tex]\rightarrow \log _5(5x^3)^2 + \log _5(x^2 +6)^{1/3}\\\\\rightarrow \log _525x^6 + \log _5\sqrt[3]{(x^2 +6)}\\\\\rightarrow \log _5 25x^6 (\sqrt[3]{(x^2 +6)})[/tex]

More about the logarithm link is given below.

https://brainly.com/question/7302008

Answer:

B

Step-by-step explanation:

Edge 2022

Other Questions
How did you determine how much food to feed Snappy each week? Using Data Table 1, describe how theamount of food Snappy was fed each week impacted her weight gain.Write your answer here. which is more likely to have a mass close to 3 kilograms small feather a five year old cat or a grown elephant or a peach. dont delete this question dbs at brainly (dbs = drag on balls) Chen is writing a report on the most common types of drugs people are most likely to become addicted to or abuse. What is the LEAST appropriate type of drug to include in this report? A. painkillers B. antibiotics C. depressants D. stimulants Dade Corp. has residual income of $10,840. If operating income equals $31,000 and the minimum required rate of return is 8%, what are average invested assets simplify 2 + 5(1 + 8n) Neoclassical art and classical music share an emphasis on. Why did Odysseus leave his family in the first place?He didn't like his wife anymore and wanted to get away from herHe really wanted a daughter and was disappointed he had a sonHe was told it was his fate to fight in the Tojan War so he left to go fight In perfect competition, firms will be able to earn economic profits in: Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a the short run, only. b the long run, only. c the short and in the long runs. d neither the short or in the long runs. Which is a component of the modern republican partys platform? extending the role of government into industries that have been traditionally private, like healthcare expanding regulations of government departments like the epa limiting the types of resources used in energy production expanding investment in national defense why is the world so void or empty of emotion except hatred towards other people? is there truly no hope for us in the end, because we are going to be our own downfall, if there was or truly is a god, why let us suffer? Which of the following is a possible equation of a parabola. Explain why. The transfer of energy that does not require matter is. which of these describes what happens when the temperature of an object increases 2/3 of the pizza was left over from last night. Then, Marcy ate another 2/9 of it. Which of the following statements is true?A.Very little of the pizza is left.B.About half of the pizza is left.C.Most of the pizza is left. A car radio draws 0.28 A of current in the auto's 12-V electrical system. What is the effective resistance of the radio In which cerebral lobes is the speech center located? a) frontalb) parietalc) temporald) occipital Please help me with this I need to get it done Car A uses regular gasoline at $1.21 a gallon and gets 19 miles per gallon (mpg) in town. Assume thatyou drive 100 miles a week, or 400 miles a month. What is your gas bill each month? A cylindrical tank whose diameter and height are 2.1m and 4m respectively is filled with water whose density is 1g/cm^3.calculate the mass of the water in kg. HELP!!!! WILL MARK BRAINLIEST!!!! Read the following sentence.Paul Revere was the man who everybody knew because he rode a horse through the night to tell others that the British were coming.Read the revised sentence: Paul Revere was remembered for his heroic ride through the dark, dangerous night to warn colonists of the approaching British.Why did the writer revise the sentence in this way? To punctuate correctly and make it longer To use more specific words and add details To include a transition word and connect ideas To reorganize ideas in a more logical order