Which term of the AP 21, 18, 15 ...... is -81 ?​

Answers

Answer 1

Given AP is 21 ,18,15,...

First term = 21

Common difference = 18-21 = -3

Let an = -81

We know that

an = a+(n-1)d

⇛21+(n-1)(-3) = -81

⇛ 21-3n+3 = -81

⇛24-3n = -81

⇛ 24+81 = 3n

⇛ 105= 3n

⇛ n = 105/3

⇛ n = 35

35th term of the AP is -81.

also read similar questions: Which term of a AP 5 , 13 , 21 ,... is 181?

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Which term of the AP:3, 8, 13, 18,...,is 78?

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Related Questions

I need help with this question

Answers

Answer:

Go download CameraMath on playstore that how

I is get my answer

Is 0.136 greater or least to 0.23?

Answers

Answer: least

Step-by-step explanation: because 0.23 is closer to 1

Least

If you removed the last term from 0.136, it would become 0.13

Compared to 0.25, it is lower.

A paper company ships notepads in rectangular boxes that have dimensions measuring 9 inches long, 9 inches wide, and 10 inches tall. Show work. Complete sentences.
V = LWH The volume of a rectangular prism / cube is equal to the length times the width times the height.
a. What is the volume of the box?

b. Each notepad is in the shape of a cube with an edge length of 3 inches. What is the volume of each notepad?

c. What is the maximum number of notepads that will fit in 1 closed box
i will give brainliest :)

Answers

Answer:

a. 810

b. 27

c. 30

Step-by-step explanation:

Part a.

The volume is 9 * 9 * 10.

9 * 9 = 81, and 81 * 10 = 810.

Part b.

The volume of a cube is x^3, where x is the side length of the cube.

If x = 3, then 3^3 = 27.

Part c.

If each notebook has a volume of 27, then the maximum amount of notebooks that will fit in a box with volume 810 is 810/27 = 30 notebooks

a. The volume of the rectangular box is 810 inch³.

b. The volume of the notepad is 243 inch³.

c. The maximum number of notepads that will fit inside the box is 3.

What is a cuboid?

A cuboid is a three-dimensional closed figure which has volume along with surface area.

The volume of a cuboid is the product of its length, width, and height.

The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.

Given, A paper company ships notepads in rectangular boxes that have dimensions measuring 9 inches long, 9 inches wide, and 10 inches tall.

Therefore, The volume of the box is, = (9×9×10) inch³.

= 810 inch³.

The dimensions of the notepad are 9 inches by 9 inches with an height of 3 inches.

Therefore, The volume of the notepad is = (9×9×3) = 243³ inches.

The maximum number of notepads that will fit inside thebox is,

= (810/243).

= 3.33 but it sholud only be 3 notepads.

learn more about cubooids here :

https://brainly.com/question/29568631

#SPJ2

Please Help Me - Calc.

Answers

[tex]\text{Given that,}\\\\2(x^2+y^2)^2 = 25 (x^2-y^2)\\\\\implies 2\dfrac{d}{dx} (x^2 +y^2)^2 = 25 \dfrac{d}{dx} (x^2 -y^2)\\\\\implies 2 \cdot 2(x^2 +y^2) \dfrac{d}{dx}(x^2 +y^2) = 25\left[2x - 2y \dfrac{dy}{dx} \right]\\\\\implies (4x^2 +4y^2)\left(2x + 2y\dfrac{dy}{dx}\right) = 50x - 50y\dfrac{dy}{dx}\\\\\\\implies 8x^3+8x^2y \dfrac{dy}{dx} + 8xy^2 +8y^3\dfrac{dy}{dx} = 50x -50y \dfrac{dy}{dx}\\\\\\\implies 8x^2y \dfrac{dy}{dx} + 8y^3\dfrac{dy}{dx}+50y \dfrac{dy}{dx} = 50x -8x^3 -8xy^2\\\\[/tex]

[tex]\implies (8x^2y +8y^3 + 50y)\dfrac{dy}{dx} =50x -8x^3 -8xy^2\\\\\implies \dfrac{dy}{dx} = \dfrac{50x -8x^3 -8xy^2}{8x^2y+8y^3+50y}\\\\\implies \dfrac{dy}{dx}= \dfrac{25x-4x^3-4xy^2}{4x^2y+4y^3+25y}\\\\\\\implies \dfrac{dy}{dx} = \dfrac{x(25-4x^2-4y^2)}{y(4x^2 +4y^2 +25)}\\\\\\\text{Slope at}~~ (-3,-1)\\\\m=\dfrac{dy}{dx} = \dfrac{-3[25-4(-3)^2-4(-1)^2]}{(-1)[4(-3)^2 + 4(-1)^2+25]} = -\dfrac{45}{65} = -\dfrac 9{13}[/tex]

[tex]\text{Equation with given points,}\\\\y+1 = -\dfrac9{13}(x+3)\\\\\implies y = -\dfrac 9{13} x - \dfrac {27}{13} -1\\\\\implies y= -\dfrac 9{13} x - \dfrac{40}{13}\\\\\text{Hence the equation of this tangent line is now in a form of y= mx+b,}\\\\\text{where}~ m = -\dfrac 9{13}~ \text{and}~ b = -\dfrac{40}3[/tex]

Pls help I’ll brainlest ASAP

Answers

7/5x is the slope
Rise/Run
How much each point rises should be divided by how much is slides left or right.
So your answer is 7/5x

2. A faucet for a 30-gallon bathtub fills at a rate of 3 gallons per minute.
If the drain lets water out at 1.5 gallons per minute, how long would it
take for the tub to overflow if both the faucet and drain were open at the
same time?

Answers

Answer:

20

Step-by-step explanation:

Knowing that it is a 30-gallon bathtub.

And it fills at a rate of 3 gallons per minute.

But also drains 1.5 gallons per minute.

So this is for the first minute.

3 - 1.5 = 1.5

So there will be 1.5 gallons of water in the tub after the first minute.

Now do,

30 ÷ 1.5 = 20

It will take 20 full minutes for the bathtub to fill up.

How do I solve this? 2(-2w-1.2+7x)

Answers

-4w-2.4+14x this is the answer for this

3 ft
Find the area of this figure.
Round your answer to the
nearest hundredth. Use
3.14 to approximate i.
4 ft.
5 ft
5 ft
A = [? ] ft?
-
Notice that only half of the circle is included in the figure!
Enter

Answers

Answer:14

Step-by-step explanation:

derivative for the function of t3+k/t=​

Answers

Answer:

Step-by-step explanation:

I will ASSUME you want the derivative with respect to "t" of the equation

f(t) = t³ + kt⁻¹

f'(t) = 3t² - kt⁻²          which can also be     3t² - k/t²

I need a lot of help

Answers

Answer:

lol wat r u doing .........

Homer paid $6.72 for a dozen donuts. Identify the unit rate. a. $1.79 c. $0.52 b. $1.12 d. $0.56​

Answers

Answer:

d. 0.56

Step-by-step explanation:

6.72/12=0.56

the unit rate is just the cost for one.

The function h(t) = -16t2 + vt + 10 gives the height of a platform diver above the water, in teet, t seconds
after the diver leaves the platform with an initial velocity, w, in feet per second,

Answers

You can download the answer at both/…. Are kahoo

(a²-4) (9-b²) +24ab algebraic factorization​

Answers

Answer: -a2b2 + 9a2 + 24ab + 4b2 - 36

Step-by-step explanation:

A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

AB = BA is the commutative property of multiplication.

- AB + AB equals zero and is therefore eliminated from the expression.

Pharaphrase it if used.

Find the monthly house payments necessary to amortize a 10.8% loan of $125,800 over 20 years.
.
The payment size is $

Answers

Answer:

13,586400000000001 per time  

Step-by-step explanation:

Talon read 30 pages last night in 20 minutes. If Drake read twice as fast, what was Drake's reading speed?

Answers

Answer:

3m/s

Step-by-step explanation:

s=v/ts=60/20s=3m/s

can someone help me with this i’ll give you 25 points

Answers

Answer:

Um.... Wouldn't angle 1 just be 180-17 which is 163. Angle 3 would be equal to angle 1 so also 163. Angle 4 and angle 2 are equal to 17.

Step-by-step explanation:

Answer:

angle1 = 163°

angle2 = given in diagram

angle 3 = alternating angle 1, so 163°

angle 4 = alternating angle 2, so 17°

Step-by-step explanation:

noticing that the two lines intercept each other at the centre, making angles going around that interception point add up to 360° (you can use this information to check the answers).

an angle on a straight line is always 180°, so given that angle2 is 17°, you can already do 180 - 17 to get an easy answer to angle 1 and 3.

Which of the following statements explains the correct method to solve the equation 7x - 8 = 48?

Answers

Answer:

Follow the explanation below.

Step-by-step explanation:

7x = 48 - 8

7x = 40

x = 40/7

x = 5.714

Which expressions represents "2 less than the product of 5 and a number"?
A) 5n - 2
B) 5/n - 2
C) 2 - 5n
D) 5 + n - 2

Answers

Answer:

Option A is correct.

Step-by-step explanation:

Let's read the part of the question carefully.

(2 less than the product of 5 and a number)

The phrase "2 less" means subtracting 2 from the minuend."the product of 5 and a number" means multiplication of 5 and a number (5x)

Conclusion:

Therefore:

Our expression is 5n - 2

Hoped this helped.

[tex]GeniusUser[/tex]

Chiara's goal is to save $1 500. Each week she saves 15% of her weekly
income of $674.

Answers

Answer:

it will take about 15 weeks

Step-by-step explanation:

15% of 674 is about 101.

so, 1500 divided by 101 is about 15

hope this helps :)

Suppose that in a certain state, all automobile license plates have four letters of the 26 English alphabet letters followed by three digits from 0,1,2,3,4,5,6,7,8,9. For example, WCRY-122. How many license plates are possible that begins with A and ends with 1 with NO repetition

Answers

Answer:

[tex]993,\!600[/tex].

Step-by-step explanation:

There is one way to choose the first character (has to be an [tex]\verb!A![/tex].)

There is one way to choose the last character (has to be a [tex]\verb!1![/tex].)

Since repetition among the letters is not allowed and the letter [tex]\verb!A![/tex] was already reserved for the first character, there would be [tex](26 - 1) = 25[/tex] English alphabet letters available for the second character.

Likewise, with the first and second characters chosen, the third character could be chosen from [tex](26 - 2) = 24[/tex] letters. There would be [tex](26 - 3) = 23[/tex] choices for the fourth letter.

Repetition of the digits is not allowed, either. With the digit [tex]\verb!1![/tex] already reserved for the last character, there would be [tex](10 - 1) = 9[/tex] ways to choose the fifth character (a digit.) There would then be [tex](10 - 2) = 8[/tex] ways to choose the sixth character (also a digit.)

Overall, the number of unique combinations would be:

[tex]\begin{aligned}& 1 \times 1 \times (25 \times 24 \times 23) \times (9 \times 8) \\ =& \; 993,\!600 \end{aligned}[/tex].

Solve the equation
37.86+x=53.15

A. 15.29
B. 16.39
C. 90.91
D. 90.01

Answers

Answer:

X = 53.15-37.86

X = 15.29

option A

CAN SOMEONE HELP ME OUT I BEG U

Answers

Answer:

d

Step-by-step explanation:

...................................................................

Answers

plz write your proper question

Single choice question


The expression 24(1−x) gives the discounted price of a pair of shorts, where x is the percent of the discount written in decimal form.

What does 1−x represent in the expression?


A. Discount price of the shorts.

B. Original price of shorts.

C. Percent of discount.

D. Percent of original price being paid.

Answers

Answer:

D

Step-by-step explanation:

Because the discount price is the whole equation 24(1-x),

the original price is 24 technically, and the percent of discount has been given as x...

please help, theres a picture

Answers

Answer:

C 1/-3

Step-by-step explanation:

To find the slope I found two-point of the graph that were easy to point out and used rise over run to determine the slope!

In this case, rise was one because it went from -1 to 0 and run was -3 because it went from 0 to -3

Hope this helps!!

Please tell me if I have messed up!!

I enjoy learning form my mistakes:)

*Also if I am correct could you please mark me brainliest? I am trying to level up!!

The line is on -3 and -1 so I think the answer is -1/3 .

Slove for x : 4x - t = a

Answers

we have:   4x - t = a ⇒ 4x = a + t ⇒ x = [tex]\frac{a+t}{4}[/tex]

ANSWER: x = [tex]\frac{a+t}{4}[/tex]

ok done. Thank to me :>

Luke portrays this time in Jesus’ ministry as very successful, but he starts giving hints of things to come. For instance, after the healing of the boy, Jesus seems to randomly say that he is going to be betrayed. Why would Jesus have picked that time to say such a thing? I think Jesus picked this time to warn the disciples about what was going to happen.

Answers

Perhaps he had healed the boy the town’s people would think that he didn’t heal him,so they could do something and or try to hurt Jesus.

What is the y-intercept of the line?
1
-2
1/2
0

Answers

Answer: 1

The y inter is the line going vertically
So just find where the line meets the graph

Answer:

The y-intercept is 1.

Step-by-step explanation:

The y-intercept is where a line crosses the y-axis, so from looking at the graph, we can see that it crosses at (0,1), giving you a y-intercept of 1.

There is a cookie jar in Julio's kitchen filled with 7 cookies. His mother bakes some more cookies. Now there are 14 cookies. How many cookies did Julio's mother bake.

Answers

Answer:

His mother baked 7 more cookies

If [tex]a\ \textless \ b[/tex], there are three ordered pairs of positive integers [tex](a,b)[/tex] that satisfy [tex]a^{2}+b^{2}=10(123)^{2}[/tex] If two of these ordered pairs are [tex](39,387)[/tex] and [tex](201,333)[/tex]. What is the third such ordered pair?

Answers

The third ordered pair positive integers that satisfies the equation is (123, 369).

The given parameters;

[tex]a^2 + b^2 = 10(123)^2[/tex]First pair of the equation, = (39, 387)Second pair of the equation = (201, 333)

The third ordered pair of the equation can be determined by using general equation of a circle;

[tex]a^2 + b^2 = r^2\\\\a^2 + b^2 = (123\sqrt{10} )^2\\\\a^2 + b^2 = (\sqrt{151290} )^2\\\\a^2 + b^2 = 151290\\\\a^2 = 151290- b^2\\\\ a= \sqrt{151290 - b^2}[/tex]

The radius of the circle is calculated as;

[tex]r^2 = 151290\\\\r = \sqrt{151290} \\\\r = 388.96[/tex]

The value of a can be obtained by randomly choosing numbers less than the radius as values of b.

[tex]b < r\\\\b < 388.96[/tex]

[tex]a = \sqrt{151290 \ - \ (387)^2} \\\\a = 39\\\\(39, \ 387)\\\\a = \sqrt{151290 \ - \ (333)^2}\\\\a = 201\\\\(201, \ 333)\\\\a = \sqrt{151290 \ - \ (369)^2}\\\\a = 123\\\\(123, \ 369)[/tex]

Thus, the third ordered pair positive integers that satisfies the equation is (123, 369).

Learn more about equation of circle here: https://brainly.com/question/24810873

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