what is the 37th term of the arithmetic sequence with the first term -39 and the common difference of 8

257
241
227
249

Answers

Answer 1

Answer:

249

Step-by-step explanation:

The explicit formula for an arithmetic sequence is

an = a1+d(n-1)

a1 is the first term so a1 = -39

d is the common difference so d = 8

n is the term number so n = 37

a37 = -39+8(37-1)

       = -39+8(36)

        = -39+288

        =249


Related Questions

Which of the following is not true about the boundary line in the graph of a linear inequality in two​ variables?

Answers

Answer:

The correct answer is D

Step-by-step explanation:

Boundary points are NOT always solutions

The statement  not true about the boundary line in the graph of a linear inequality in two​ variables is he point on boundary line are always solutions to the linear inequality

What does boundary line in graph of a linear inequality in two variable represent ?

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥.

According to the question

Boundary line in graph of a linear inequality in two variable represents :The boundary line is dashed or strict for > and < The boundary line is solid or non strict  for ≤ and ≥. boundary line divides the coordinate plane into two halves boundary line where one half represents the solutions of the inequality

Hence, The statement  not true about the boundary line in the graph of a linear inequality in two​ variables is he point on boundary line are always solutions to the linear inequality.

To know more about boundary line in graph of a linear inequality in two variable represent here:

https://brainly.com/question/21397250

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A rectangle has a length of 18 11/12 ft and a width of 5 1/2 ft. What is the area?​

Answers

Answer:

104.04 ft.²

Step-by-step explanation:

length times width

Answer:

104.042

Step-by-step explanation:

area of rectangle=length*width

Help ASAP giving brainliest

Answers

Answer:

24÷8=3

Step-by-step explanation:

because 24÷8=3

HELPPPPPPPPP MATH PLEASE

Answers

Answer: 14

Step-by-step explanation:

Answer:

12 units^2

Step-by-step explanation:

The triangle on the left has an area of 2, the square has an area of 4 and the triangle on the right has an area of 6.

Add these up to get 2+4+6 = 12

i need the answer no playing around please and if the answer is right i will give you a thanks and full stars pleaseeeee

Answers

Answer:

50+50x

Step-by-step explanation:

they're asking you to use distributive property

so what you have to do is multiply everything that is in the parenthesis by 10

5x10=50

5x10x=50x

so the answer is 50+50x

have a great day :D

Answer:  50 + 50x

========================================================

Explanation:

To get this answer, we multiply the outer term 10 by each term inside

5*10 = 505x*10 = 50x

I'm using the distribution rule or distributive property. So that's why (5+5x)10 is the same as 50+50x

We could arrange the terms to get 50x+50 if you wanted.

--------------------------

Extra info (optional section):

Let's say that instead of 10, we had a smaller value like 2

(5+5x)2 would mean we have two copies of (5+5x) added together

So we'd have (5+5x)+(5+5x) = (5+5)+(5x+5x) = 10+10x

Then note how the distributive property says

(5+5x)*2 = 5*2+5x*2 = 10+10x

This is one example that helps us see how the distributive property is correct.


1. Observa el siguiente conjunto de enteros (-1,0, 1)

A. ¿Cuál de las propiedades de los números reales son verdaderas
para el conjunto?

Answers

Answer:

no hablo espanol papas fritas papas fritas papas fritas papas fritas papas fritas papas fritas papas fritas papas fritas

Step-by-step explanation:

please very soon I offer the crown !!! + 10 points urgently !!!

Answers

Answer:

swdfghjkl;'[

Step-by-step explanation:

asdfghjkl;'iy7u6j54hy3feqdwsrtfyuiop;lkjhgf

Answer:

nbmmmmmmmmmmmmmmmmmm

Step-by-step explanation:

Which graph represents a function?

Answers

Answer:

C

Step-by-step explanation:

In D, the x value repeats

Answer:

C

Step-by-step explanation:

C has a positive then negative slope, while D can't even be a function.

I hope this helps :)

My work is down below.download the pdf and look at it.Please answer it!

Answers

Hmmm blank picture :/

Question 16
4 Points
Using the formula 1 = PRT, find I when P = 3634, R = 6% and T = 7. Round your answer to the nearest penny. Enter only the value
without the $.
Round your answer to 2 decimal places.
Add your answer

Answers

Answer: $1526.28

I = (3634)(0.06)(7)
I = 1526.28

When using percents, make sure to divide it by 100 and use that (0.06 instead of 6 in this problem)

A roof has a cross section that is a right triangle. The diagram shows the approximate dimensions of this cross section. Find the height h of the roof. Round your answer to the nearest tenth.

Answers

Answer:

5

Step-by-step explanation:

Area of right angle Triangle:

6.5 * 9 * 1/2 = 29.25

2nd way to find area:

1/2 * base * height

Since we have area and base:

1/2 * 11.1 * h = 29.25

= 5.27m

= 5m (nearest tenth)

The height h of the roof to the nearest tenth is 5.3 m

Right angle triangle:

Right angle triangle has one of its angles as 90 degrees. The triangles are likewise similar and can be used to find the height h of the roof.

Therefore,

11.1 / 6.5 = 9 / h

cross multiply

11.1 h = 9 × 6.5

11.1 h = 58.5

divide both sides by 11.1

11.1 h / 11.1 = 58.5 / 11.1

h = 5.27027027027

h = 5.3 m

learn more on right triangle here: https://brainly.com/question/4280778

I need help with this due today

Answers

Answer: P-22 A-30

P=28 A-28

P=12 A=9

P=18 A=18

Step-by-step explanation:

1. Side lengths are 5,6,5,6- perimeter is 22 Area is 5*6= 30

2. Side lengths are 10,4,4,2,6,2- perimeter is 28 Area can be found by finding the area of the whole region (4*10) and subtracting the missing piece (2*6) so 40-12=28

3. sides are all 3- perimeter is 3*4= 12 and area is 3*3=9

4. sides are 6,3,6,3- perimeter is 18 and area is 3*6=18

need help with these 2 questions

Answers

Answer:

There are no questions....

Are they on your prev one?

Please someone help me on this one !! I need to pass this class!

Answers

9514 1404 393

Answer:

  x ≈ -0.5416

Step-by-step explanation:

As with any "solve for ..." problem, you essentially want to "undo" what has been done to the variable of interest. Here, if you were to evaluate the left-side expression (where the variable is) for some value of x, you would ...

multiply by 10add 7raise 9 to that powermultiply by 2add 5

You want to "undo" these operations in reverse order. That is, you work from the bottom of this list toward the top, using inverse operations along the way.

The inverse of addition is subtraction; the inverse of multiplication is division. The inverse of raising to a power is taking a logarithm.

undo add 5

  [tex]2\cdot9^{10x+7}+5-5=70-5\\2\cdot9^{10x+7}=65[/tex]

undo multiply by 2

  [tex]\cfrac{2\cdot9^{10x+7}}{2}=\dfrac{65}{2}\\\\9^{10x+7}=32.5[/tex]

undo raise to a power (take logarithms)

  [tex](10x+7)\log(9)=\log(32.5)\\\\10x+7=\dfrac{\log(32.5)}{\log(9)}\quad\text{equivalent to $\log_9(32.5)$}[/tex]

undo add 7

  [tex]10x+7-7=\dfrac{\log(32.5)}{\log(9)}-7\\\\10x\approx -5.41562[/tex]

undo multiply by 10

  [tex]\dfrac{10x}{10}\approx\dfrac{-5.41562}{10}\\\\x\approx-0.541562\\\\\boxed{x\approx-0.5416}\quad\text{rounded to 4 dp}[/tex]

Answer:

x=0.5416...................

Concerns about climate change and CO2 reduction have initiated the commercial production of blends of biodiesel (e.g., from renewable sources) and petrodiesel (from fossil fuel). Random samples of 32 blended fuels are tested in a lab to ascertain the bio/total carbon ratio. (a) If the true mean is .9370 with a standard deviation of 0.0090, within what interval will 99 percent of the sample means fall

Answers

Answer:

99% of the sample means will fall between 0.93288 and 0.94112.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The true mean is .9370 with a standard deviation of 0.0090

This means that [tex]\mu = 0.9370, \sigma = 0.0090[/tex]

Sample of 32:

This means that [tex]n = 32, s = \frac{0.009}{32} = 0.0016[/tex]

Within what interval will 99 percent of the sample means fall?

Between the 50 - (99/2) = 0.5th percentile and the 50 + (99/2) = 99.5th percentile.

0.5th percentile:

X when Z has a pvalue of 0.005. So X when Z = -2.575.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]-2.575 = \frac{X - 0.9370}{0.0016}[/tex]

[tex]X - 0.9370 = -2.575*0.0016[/tex]

[tex]X = 0.93288[/tex]

99.5th percentile:

X when Z has a pvalue of 0.995. So X when Z = 2.575.

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]2.575 = \frac{X - 0.9370}{0.0016}[/tex]

[tex]X - 0.9370 = 2.575*0.0016[/tex]

[tex]X = 0.94112[/tex]

99% of the sample means will fall between 0.93288 and 0.94112.

The price of an item has been reduced by
45%
. The original price was
$15​

Answers

Answer:

8.25

Step-by-step explanation:

15*.45=6.75

15-6.75=8.25

Answer:

Step-by-step explanation:

15x45%= $6.75

18. State the slope and y-intercept of each linear equations.
a. 6(x + y) = 3(x - y)
b. 2(x + y) = 5(y + 1)
c. 5x + 10y - 20 = 0)

Answers

Answer:

a. m = -1, y-int = 0

b. m = 2/3, y-int = -5/3

c. m = -1/2, y-int = 2

Step-by-step explanation:

-Expand equations on both sides.

-Make 'y' the subject by collecting like terms and moving everything to the right, e.g. y = ...

-Slope is the number in front of x.

-Find y-intercept by letting x = 0 and solve the equation.

Two stores have competing back-to-school sale. Which store offers the better price per T-shirt? What is the price? Explain.

Answers

The store that is larger sells shirts at a better price because they have greater supply in comparison to the demand of shirts. The price is $2.99 because the larger store offers a discount of 10%.

Find the distance between (0, 0) and (3, 4).

Answers

Answer:

L²=(3-0)²+(4-0)²

L²=9+16

L²=25

L=5units

1/4x + ½ = 2/4x + ¾
what are the steps

Answers

Answer:

x=-1

Step-by-step explanation:

1/4x+1/2=2/4x+3/4

1/4x+2/4=2/4x+3/4

2/4=(2/4x-1/4x)+3/4

2/4=1/4x+3/4

2/4-3/4=1/4x

-1/4=1/4x

-1=x

x=-1

Number 1 what is the area below



Number 2 what is the area of the shape

Answers

Answer:

Step-by-step explanation:

In both problems the area is made up of a rectangle and a triangle. The area of the rectangle is A=xy. The area of a triangle is A=bh/2

First problem

A=4(13)+5(13-6)/2

A=69.5ft^2

Second problem

A=5(3)+(6-3)(5-2)/2

A=19.5m^2

Use the original price and the markdown to find the retail price. Original price: $30; Markdown:24%

Answers

Answer:

$22.80

Step-by-step explanation:

What is the GCF of 22 and 32?

Answers

Answer:

The GFC of 22 and 32 is 2

Step-by-step explanation:

^2sin(x+45)=sinx + cosx

Answers

Answer:

steps below

Step-by-step explanation:

√2 * sin(x+45°)

= √2 * (sinx cos45° + cosxsin45°)

= √2 * (sinx * √2/2 + cosx * √2/2 )

= (√2 * √2/2) (sinx + cosx)

= sinx + cosx

Which graph shows a proportional relationship between X and y

Answers

C is correct cause it’s a straight line going through the middle

Malik purchased a pair of roller blades that were originally priced at $250 for a sale price of
$180. He charged the roller blades on his credit card and made the minimum monthly
payment of $20. When he received his first statement, he read that the minimum finance
charge for each month that there was a balance on the card would be $15. How many
months will Malik need to pay off the roller blades? (Assume that a minimum finance
charge of $15 will apply to all balances of $250 or less.)

Answers

Answer:f he made a first payment of $20 shortly after the purchase, he would have a balance of $180-$20=$160, before they applied the first $15 finance charge, but he will see a balance of $180-$20+$15=$175 (with the finance charge) in that first statement.

Each month, his balance will change by -$20+$15=-$5, so it will take him, another 32 payments to reduce that $160 to $0. That month, he will pay the $20 balance to get a balance of zero, and hopefully see no more finance charges.

In all, paying the minimum $20 payment each month, Malik will make 33 such payments for a total of $660. If he saved $20 per month, he could have saved $180 in 9 months, or $260 in 13 months, and he would have saved a lot of money. He would probably have to pay the $250 regular price, and would have missed about a year of roller blading, but he would have saved $660-250=$410.

Step-by-step explanation:

427 diveided by 3 do you have any aneswerers

Answers

Answer:

142.333....

Step-by-step explanation: just use a calculator

Answer:

142.34

Step-by-step explanation:

427 ÷ 3 = 142.34

good luck, i hope this helps :)

Similar triangles and slope

Line r is parallel to line c
Which angle is congruent

Answers

Answer:

C. ∠5

Step-by-step explanation:

Angle 3 makes alternate interior angle pair with angle 5

∠3 ≅ ∠5

Answer:

C. ∠5

Step-by-step explanation:

Angle 3 makes alternate interior angle pair with angle 5

∠3 ≅ ∠5

A cylinder has a diameter of 14 cm and a volume of 112 Pi cubic centimeters what is the height in centimeters of the cylinder

Answers

Answer:

8

Step-by-step explanation:

A bike shop is having a sale 40% off all bikes. If you see a bike for $280, how much will you pay after receiving the 40% discount?

Answers

the answer would be $112.
explanation:
40%——> .40
280 x .40 = 112
Other Questions
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