a3 = 18 and a6 = -486
Find a10

Answers

Answer 1

Answer:

The value of a₁₀ is -1158

Step-by-step explanation:

a₃ = 18

a₆ = - 486

Now,

a₃ = 18 can be written as

a + 2d = 18 ...(1) and

a₆ = - 486 can be written as

a + 5d = - 486 ...(2)

Now, from equation (2) we get,

a + 5d = - 486

a + 2d + 3d = - 486

18 + 3d = - 486 (.°. a + 2d = 18)

3d = - 486 - 18

3d = - 504

d = - 504 ÷ 3

d = - 168

Now, for the value of a put the value of d = -168 in equation (1)

a + 2d = 18

a + 2(-168) = 18

a - 336 = 18

a = 18 + 336

a = 354

Now, For a

a₁₀ = a + 9d

a₁₀ = 354 + 9(-168)

a₁₀ = 354 - 1512

a₁₀ = -1158

Thus, The value of a₁₀ is -1158

-TheUnknownScientist


Related Questions

In a survey of 150 high school students, 10% said they have after-school jobs. How many students have after-school jobs?

Answers

Answer:

Ahoy there, I'm pretty sure that the answer is 15!

Step-by-step explanation:

BRAINLISRST AND EXTRA POINTS I NEEDS I HELP

Sally deposits $150 into a bank
Account in 2020 that earns 3.5%
annual interest. What exponential
function represents the situation?

Answers

Answer:150/3.5

Step-by-step explanation:

Find the value of x. Simplify in simplest radical form.

Answers

Answer:

x is 13.03

Step-by-step explanation:

Start by determining the length of the horizontal side of one of the triangles shown.  The Pythagorean Theorem applies here:

(horizontal side)² + 17² = 19², so that:

(horizontal side)² + 17² = 19² - 17², or 72

Then the length of the horizontal side is +√72, or √36√2, or 6√2.

From the diagram it is obvious that the width of the rectangle, x, can be found by subtracting twice the length of the horizontal side of one of the triangles from 31 (base of the entire figure):

x = 31 - 2(6√2) = 13.03

x is 13.03

• Solve the application problem.
The length of a rectangle is į ft. Its width is 1į ft. What is its perimeter?

Answers

Not sure what the length of the rectangle is but to find perimeter of a rectangle you can use the following formula

2w+2l= perimeter

The reason we multiply both the length and width by two is because there are two ends of the width and two ends of the length.

The other formula that would also work is as follows

w+w+l+l= perimeter


Hope it helps

“Puppies are cute animals.”
1. Write the quote as a conditional statement.

Answers

Answer:

Puppies are the cueist

Step-by-step explanation:

Answer:

there is a eye which will make you fall for it .

guess which eye is it

If the perimeter of a square is 20 cm, what is its area?

Answers

Answer:

25cm

Step-by-step explanation:

each side is 5cm so multiple 5cm times 5cm then you get 25cm

Answer:

25cm^2

Step-by-step explanation:

P=4a

20=4a

a=5

A=a^2

A=5^2

A=25 cm^2

what is the value of X in degrees?

Answers

3,50 degrees hope This heal

Find the value of the third quartile (the median of the upper half of the data set). 52, 54, 55, 55, 57, 58, 59, 59, 61, 61, 61, 62, 63, 63, 64, 65, 65, 68, 70, 72 i need it instantly cause i have that question pulled up

Answers

Answer:

64.5

Step-by-step explanation:

You understand the question, and already have the numbers in order, you're almost there!

So you need to find the median first so you can divide the data set into the upper and lower halves. The median, as you probably know, is the center of the data. What I do for this is list all the numbers out in order, like you've already done, and start crossing them out, one at a time, alternating the sides. I'll show you what I mean. (I'm using underline because there's no strikethrough.)

52, 54, 55, 55, 57, 58, 59, 59, 61, 61, 61, 62, 63, 63, 64, 65, 65, 68, 70, 72

52, 54, 55, 55, 57, 58, 59, 59, 61, 61, 61, 62, 63, 63, 64, 65, 65, 68, 70, 72

52, 54, 55, 55, 57, 58, 59, 59, 61, 61, 61, 62, 63, 63, 64, 65, 65, 68, 70, 72

52, 54, 55, 55, 57, 58, 59, 59, 61, 61, 61, 62, 63, 63, 64, 65, 65, 68, 70, 72

52, 54, 55, 55, 57, 58, 59, 59, 61, 61, 61, 62, 63, 63, 64, 65, 65, 68, 70, 72

...and so on, until you have:

52, 54, 55, 55, 57, 58, 59, 59, 61, 61, 61, 62, 63, 63, 64, 65, 65, 68, 70, 72

Because there's an even number of numbers, the median is the mean of the middle two numbers. Luckily, though, the two numbers in the middle are the same:61. Mean is calculated by adding the terms and dividing by the number of terms. In this case:

(61+61)/2

=61

(You didn't really have to do this mean step, but I'll explain later.)The median is 61. Another way you could have done this is by just counting the number of terms (20) and finding the middle one. Again, since there's no middle one, you'd have to find the mean.

Since you're looking for the third quartile and not the median, you didn't exactly have to do that step. I just wanted to explain how to calculate the median, since you'll have to do it in the next step. All we had to do here was divide the data set into the halves, so we used that visual demonstration by underlining the numbers one at a time. We didn't have to find the mean, we could have split the set down the middle instead.

52, 54, 55, 55, 57, 58, 59, 59, 61, 61, | 61, 62, 63, 63, 64, 65, 65, 68, 70, 72

                                                             ^median/half-way point

We could have also divided the number of terms (20) by 2 (because halves, 2 parts) to get 10 and used the upper 10 values of the set, but I don't know, the crossing out method helps me. Anyway, now we have to look at just the upper 10 values:

61, 62, 63, 63, 64, 65, 65, 68, 70, 72

And you repeat the process! (I'm not going to show the underlining though lol)

There are 10 terms, so the median is between the 5th and the 6th. (10/2=5)

61, 62, 63, 63, 64, 65, 65, 68, 70, 72

This is what I was talking about, there are an even number of values in the upper half of the data set as well, so we have to find the mean of the middle 2: 64 and 65.

 (64+65)/2

=129/2

=64.5

That's your final answer. Hope I could help you!

Answer:

64.5

Step-by-step explanation:

i just answered and got it right

A clock is set to ring every 15 minutes whereas another clock is set to ring every 25
minutes. If both the clocks ring together at 4:00 p.m., find the time at which both
clocks will subsequently ring together again.​

Answers

Answer:

At 5:15 PM , they will ring together.

Step-by-step explanation:

We have been given that first bell rings every 15 minutes and second bell rings at every 25 minutes.

In order to find when both will ring together again, we can find the LCM of these two numbers.

15 = 3 × 5

25 = 5 × 5

Therefore, LCM of these two numbers is

LCM = 5 × 5× 3

LCM = 75

Hence, 75 minutes = 75/60 = 5/4 hours

Therefore, at 5:15 PM , they will ring together.

At 5:15 PM the clocks will ring together.

What is Least Common Multiple?

In mathematics, the least common multiple is sometimes referred to as LCM or the lowest common multiple. The smallest number among all the common multiples of the provided numbers is the least common multiple of two or more numbers.

Given:

A clock is set to ring every 15 minutes whereas another clock is set to ring every 25 minutes.

In order to find when both will ring together again, we have to find the LCM of  25 and 15 as

15 = 3 × 5

25 = 5 × 5

LCM (25, 15) = 5 × 5× 3

                     = 75 min

                     = 1 hour 15 minutes.

Hence, At 5:15 PM the clocks will ring together.

Learn more about least common multiple here:

https://brainly.com/question/30060162

#SPJ2

Mr. Dilbert's rectangular swimming pool is surrounded on all sides by a 4-foot wide brick walkway, as shown below.
WALKWAY
19 feet
5 feet
What is the area of the walkway?
A 192 ft2
B. 247 ft? C . 96 ft2 D. 302ft2

Answers

Answer:

Step-by-step explanation:

The area of the walkway will be 96 square feet. The correct option is C.


What is the area of the rectangle?

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

Given that the dimensions of the crosswalk are,

19 feet

5 feet

The area of the cross-walk will be calculated as below,

Area = Length x Width

Area = 19 x 5

Area = 96 square feet

Therefore, the area will be equal to 96 square feet.

To know more about the area of the rectangle follow

https://brainly.com/question/25292087

#SPJ2

The length of the living room is 3 feet more than its width . The area of the living room is 270square feet write and equation that reprints the area of the living room

Answers

Answer

x^2+3x=270

Explanation

x (x+3) =270

x^2+3x=270

the population of a village is 2250.

32% of the population are children. Calculate the number of children in the village. Show working?

Answers

Do 32% by dividing 2250 by 32

Answer:

720 children

Step-by-step explanation:

good day. I think that's the answer hope it helps you.


PLS HELP! DUE TODAY AND WILL MARK BRAINLIEST
3. Find x.
Find the value of x.

A) 3.5
B) 7
C) 7.5
D) 10


Answers

Answer:

I believe the answer is D: 10

Step-by-step explanation:

If the other line is 2 segments of 5 and from the center to both lines is the same then x and the other line should be equal

MARKING BRAINLIST IF THESE TWO ARE ANSWERED‼️‼️‼️

Answers

Anime club: 500 - 30y

Computer club: 150 + 20x

*you could use any letter(variable) you like*

The angle marked a = 48°.
Work out the angle marked x.

Answers

Answer:

x =48° because it alternates with angle a

Alternate angles are equal.

Please help ty :)

The value of x is___
and the value of y is___

Answers

Answer:

x = 60

y = 50

Explanation:

in a triangle, the sum of all its angles should be 180°. so, to find x, we can subtract the known values from 180° like this:

180° - 50° - 70° = 60°

thus, x is 60.

using the same method, we can find the remaining angle of the other triangle:

180° - 50° - 60° = 70°

now, we know the values of x and the angle next to it. on a straight line, the sum of angles also adds up to 180°. therefore:

180° - 60° - 70° = 50°

i hope this helps! :D

find the area of the following​

Answers

Answer:

1/2×5×(10+6)= 120

hope this helps pls give me brainles

Answer:

50in

Step-by-step explanation:

to find the area of a parallelogram the formula is A=b*h. which is

10*5.

Which solid has the top, the side, the front views given?

Answers

Answer:

The answer is H

Step-by-step explanation:

the right answer is h

Find 4/5 of £4.00
Ples help me and can you show how to do it, thankyou

Answers

Answer:

3.20

Step-by-step explanation:

Answer:

3.24

Step-by-step explanation:

ejejrjdjjejrjedhrhhdjdjf

ME HAS CONFUSION PWEASE HELP

Answers

Answer:

The answer is 261

Step-by-step explanation:

Answer:

sorry if i am wrong but i think it is 35

Step-by-step explanation:

i think you have to add the 37 and 39 to get 76  and subtract 111 to get 35

please help me with this
r(-4)=(-4+1)(-4-3)

Answers

Answer: r= 5 1/4

Step-by-step explanation:

10
B
с
63°
9
A
D
What is m 2D?
m2D =

Answers

Answer:

Do you have a picture or can you explain more?

Step-by-step explanation:

In winter, the price of apples suddenly went up by $0.75 per pound. Sam bought 3 pounds of apples at the new
price for a total of $5.88.
Write an equation to determine the original price per pound (p).
Find the original price per pound.
$

Answers

Answer:

The equation is;

3(x + 0.75) = 5.88

The original price is $1.21

Step-by-step explanation:

Let the original price per pound be $x

By going up, the new price will be;

(x + 0.75)

3 times this is the new price;

3(x + 0.75) = 5.88

3x + 2.25 = 5.88

3x = 3.63

x = 3.63/3

x = $1.21

What is the area of the triangle Please answer quick

Answers

Answer:

A = 25 in^2

Step-by-step explanation:

[tex]area = \frac{1}{2} b \times h \\ area = \frac{1}{2} (10)(5) \\ area = 5 \times 5 \\ area = 25 \: {in}^{2} [/tex]

I hope that is useful for you

answer asap no wrong answers pls

Answers

Answer:

h = 3

Step-by-step explanation:

Looking at the given image, the height(h) divides the side length of 8 into two equal parts as we see that the height is perpendicular to the side length of 8 m.

Thus, looking at the half triangle of the face where the h is indicated, we can use pythagoras theorem to find h where the hypotenuse is 5 as shown in the diagram since each vertical cross section is an Isosceles triangle. Thus,

h² + (8/2)² = 5²

h² + 4² = 25

h² + 16 = 25

h² = 25 - 16

h² = 9

h = √9

h = 3

Someone help me please

Answers

Answer:

x=4

Step-by-step explanation:

The value of x is 4 so x=4

21^3 times 4^2 brainly for the correct n nice answer

Answers

Answer:

148176

Step-by-step explanation:

Answer:

148176

Step-by-step explanation:

21^3 = 9261

4^2 = 16

9261 × 16 = 148176

brainliest is appreciated

18. m21 S 21. Guided​

Answers

Answer:

Step-by-step explanation:

say what is this about the phone

The numerator of the given fraction is 4 less than the denominator. If 5 is added to both numerator and denominator, the resulting fraction is equivalent to 5/7 . What is the original fraction?

Answers

Answer:

5/9

Step-by-step explanation:

Let the denominator be x and numerator be y.

Given, numerator is 4 less than denominator

=> y = x - 4 ...(1)

When 5 is added to both:

Numerator = y + 5 , and, denominator = x + 5

Now their ratio is 5/7.

=> (y + 5)/(x + 5) = 5/7

=> 7(y + 5) = 5(x + 5)

=> 7y + 35 = 5x + 25

=> 7y - 5x = 25 - 35

=> 7(x - 4) - 5x = -10 {y=x-4}

=> 7x - 28 - 5x = -10

=> 2x = 18

=> x = 9

Thus,

Fraction is y/x = (x-4)/x = (9-4)/9 = 5/9

help pleaseeee asapppp
The value of a gold coin picturing the head of the Roman Emperor Domitian is increasing at the rate of 6% per year. If the coin is worth $155 now, what will it be worth in 14 years?

Question 6 options:

$239.00


$285.20


$294.72


$350.44

Answers

Answer:

anything :P

Step-by-step explanation:

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