Find an equation for the nth term of the arithmetic sequence.
-13, -8, -3, 2, ...

Answers

Answer 1

Answer:

An = 5n-18

Step-by-step explanation:

hello :

note :    the n th term of an arithmetic sequence is :

An =A1+(n-1)d   ....a common difference is : d  and A1 the first term

in this exercice :   d = 2-(-3)=-3-(-8) =5      A1 =  -13

the n th term of an arithmetic sequence is :An =-13+(n-1)(5)

An = 5n -5 -13

An = 5n-18


Related Questions

buys 5 apples for 2.60 dollars how much does one apple cost

Answers

Answer:

One apple cost $0.52.

Step-by-step explanation:

$2.60/5 = $0.52

$0.52 * 5 = $2.60

4. If the sides of a square measure 9V3 units, then find the length of the diagonal.

Answers

Answer:

Step-by-step explanation:

To find the diagonal, use Pythagorean theorem,

diagonal² = side² + side²

                = (9√3)² + (9√3)²

                = 9²(√3)² + 9²(√3)²

                = 81*3 + 81*3

                = 243 + 243

                 = 486

diagonal = √486 = 22.05 units

X minus thirteen can be represented by what expression

Answers

Answer:

[tex]x - 13[/tex]

x minus thirteen = x - 13.

Answer:

x-13

Step-by-step explanation:

A university council wants to determine the need for a new staff room. The council conducted a survey of the staff by randomly speaking to 860 staff members out of 2,844 staff members. The council found that 70% of those surveyed were in favor of building a new staff room. Assuming a 90% confidence level, which statement holds true?



As the sample size is appropriately large, the margin of error is 0.036.


As the sample size is appropriately large, the margin of error is 0.026.


As the sample size is too small, the margin of error is 0.026.


As the sample size is too small, the margin of error cannot be trusted.

To find a margin of error for a sample proportion, these assumptions must be met, where n is the sample size and is the sample proportion.




First rewrite the proportion of positive responses as a decimal number.




Now substitute the sample proportion and the sample size, 860, into the formulas for the assumptions to determine whether they are met.




Both values are greater than 10, so the assumptions are met, and the margin of error can be calculated.


Find the margin of error using this formula, where z is the critical value.




For a 90% confidence level, . Substitute the values of z, n, and into the formula for margin of error and evaluate.

Answers

Answer:

As the sample size is appropriately large, the margin of error is 0.026

Step-by-step explanation:

Alan would like to pitch an idea about a new approach to sales at the next company meeting. He plans to present the following bar graph during his pitch to convince his boss to try out his approach in the lowest performing region in the third quarter. According to the bar graph, which region fits this description?

Answers

Hi ! I need help with some questions please help me

Answer:

south

Step-by-step explanation:

El area de un triángulo es de 63.6 cm2 . El largo de uno de sus lados es de 12 cm. Cuanto mide el otro lado?

Answers

Answer:

has visto los diarios de vampiros?

Step-by-step explanation:

i need help on 2 & 3 ASAP

Answers

Answer:

2)100

3)100

Step-by-step explanation:

3. Julio deposited $3,000 in a savings
account that pays 2.5% interest
compounded annually. What is the total
value of the account after 4 years?
A $3,311.44
C $3,117.18
B $3,300.00
D $3.075.00
I

Answers

2.5/100x3,000 =$3,300.00

pls help! i’m giving brainliest :)

Shonda is making cookies with her family. They mix 2 cups of flour with a half cup of sugar. How many cups of sugar will they need if they used 8 cups of flour?

Answers

The answer is 2. Because every 2 cups pf flour is 1 half a sugar and, they are asking for 8 so thats 4 half cups of sugar, and if you mix another half with another half it would be 2 cups of sugar

Helen puts 50 marbles into 9 jars. First, she puts in the greatest
possible number of marbles into each of the 1st 8 jars. Each of these
8 jars has an equal number of marbles. The remaining marbles are
then put into the 9th jar. How many more marbles does she need for
the 9th jar such that every jar has the same number of marbles?​

Answers

Answer:

She needs 4 more marbles for the 9th jar.

Step-by-step explanation:

Multiples of 8:

M = {0, 8, 16, 24, 32, 40, 48, 56, ...}

First, she puts in the greatest possible number of marbles into each of the 1st 8 jars.

The total is the greatest multiple of 8 below 50, which is 48.

In each jar:

48/8 = 6

The remaining marbles are then put into the 9th jar.

50 - 48 = 2 in the 9th jar.

How many more marbles does she need for the 9th jar such that every jar has the same number of marbles?​

All others have 6, the 9th has 2.

6 - 2 = 4

She needs 4 more marbles for the 9th jar.

What is the measure of n?
12
4.
n
m
1 =>
[?]
Enter
no links i’ll give you brainliest please help

Answers

12/n *n/4
n^2=48
n=_/48

The 4 in 153,458 has _______________ the value of the 4 in 192,946.

Answers

Answer:

The 4 in 153,458 has ten times more the value than the 4 in 192,946.

Step-by-step explanation:

400 and 40

400 ÷ 40 = 10

I WILL MARK YOU AS THE BRAINLIEST IF YOU ARE CORRECT! Below is how tall (in meters) each of the five players on Deandra's basketball team is.
Find the median height.

Answers

The median is the middle when numbers are in order from least to greatest.
So the number in the middle is 1.7

If you know the area of the circle how can you find its radius

Answers

Answer:

If we know the area of the circle we can find the radius by using the formula for

Area = πr²

Answer:

The diameter is always double the radius. Hence, the formula is derived by dividing the diameter by 2.

Step-by-step explanation:

                  Radius Formulas

Radius in Terms of Diameter d ⁄ 2

Radius in Terms of Circumference C ⁄ 2π

Radius in Terms of Area √(A ⁄ π)

I need help, pls help me?​

Answers

Is that mastery connect? I hate that website

Answer:

1 and 100

Step-by-step explanation:

Those are the chances of events

Today 108 people visited a water park during the first hour that the park was open. This number of people is 40% of the number of people who visited the water park during the first hour yesterday. How many people visited the water park during the first hour yesterday?

Answers

Answer:

40

___ x 108 = 43.2

100

The probability distribution for a
random variable x is given in the table.
-5
-3
-2
0
2
3
Probability
.17
.13
.33
.16
.11
.10
Find the probability that -2

Answers

What am I supposed to be solving for??

someone please help me answer this!!

Answers

Answer:

17.9 units is the answer

Step-by-step explanation:

points are (-7,-2) and (9,6)

Pythagorean theorem can be written as,

[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{9-(-7))^2 + (6-(-2))^2}\\\\d=\sqrt{(16)^2+(8)^2} \\\\d=\sqrt{256+64} \\\\d=\sqrt{320} \\\\d=17.88[/tex]

Rounding off,

d = 17.9 units

What is the equation of a line in slope intercept form parallel to 2x-y=2 and passes through point 1,10

Answers

Answer:

Slope intercept form:

y = 2x + 8

Step-by-step explanation:

Parallel lines have same slope. SO find the slope of 2x - y = 2

2x - y = 2

    -y = -2x + 2

Multiply both sides by (-1)

-y*(-1) = -2x*(-1) + 2 *(-1)

y = 2x  - 2

Slope = 2

m =2 and point (1 , 10)

Slope point form: y - y1 = m(x -x1)

y - 10 = 2(x - 1)

y - 10 =2x - 2

    y = 2x - 2 + 10

   y = 2x + 8

[tex]\frac{}{}[/tex]

Determine the point estimate. An article in an educational journal discussing a non-conventional high school reading program reports a 95% confidence interval of (520 , 560) for the average score on the reading portion of the SAT. The study was based on a random sample of 20 students and it was assumed that SAT scores would be approximately normally distributed. Determine the sample mean that was used to build this confidence interval.

Answers

Answer:

Step-by-step explanation:

CI ( 95 % )   means   α = 5 %    α  = 0,05   α /2 = 0,025

If we have a normal distribution and build a CI by symmetry such CI has as a middle point the mean in this case

CI 95 %  =  ( 520 ;  560 )

the mean is (520 + 560 ) / 2  

mean  = 540

3
Question 5 (1 point)
Jasmine has 14 roses in a vase.
6
2 roses are yellow.
5 roses are pink.
3 roses are white.
4 roses are red.
9
12
What is the probability that Jasmine randomly selects a
red rose, replaces it, and then a pink rose?
1
A.
9
C.
28
5
3
10
B.
5
D.
49
91
Loo

Answers

4 roses are red I think

A book had length of 5 inches and a width of 8 inches what is the area of the book

Answers

40 inchessssssssssssssssss

The ratio of cherry trees to apple trees at an orchard is 4 to 9. If there are 184 cherry trees, use a proportion to find a, the number of apple trees.​

Answers

4/9 = x/184
736 = 9x
736/9 = x
81.7 (round it to 82) = x

Which choice could be modeled by a linear function?

A. The amount, y, of radioactive material remaining after x years when decay occurs at rate 30% each year.

B. The amount of money, y, In an account after x years earning 4% interest compounded annually.

C. The height, y, of a ball after bouncing x times, if each bounce reaches 2/3 the previous height.

D. The monthly cost, y, to use a cell phone for x minutes at a rate of 4 cents per minute.

Answers

Answer:

D

Step-by-step explanation:

D is linear because it increases the same amount each time

Please helpppppppppppppppppppp

Answers

Answer:

[tex]8( 4 \sqrt{7} - \sqrt{18} ) = 8(4 \sqrt{7} - 3 \sqrt{2}) = 32 \sqrt{7} - 24 \sqrt{2} [/tex]

Answer:

the answer is

[tex]32 \sqrt{7} - 24 \sqrt{2} [/tex]

Write the equation of the graphed circle.

Answers

Do NOT search the link they WILL hack you


The age of a mother is three times the age of her son. If the difference between their
ages 20 years find their present ages.

Answers

Answer:

[tex]Mother = 30\ years[/tex]

[tex]Son = 10\ years[/tex]

Step-by-step explanation:

Given

[tex]M = Mother[/tex]

[tex]S = Son[/tex]

From the first statement:

[tex]M = 3S[/tex]

From the second:

[tex]M - S = 20[/tex]

Required

Find M and S

We have:

[tex]M = 3S[/tex] and

[tex]M - S = 20[/tex]

Substitute [tex]M = 3S[/tex] in [tex]M - S = 20[/tex]

[tex]3S -S =20[/tex]

[tex]2S = 20[/tex]

Divide both sides by 2

[tex]S = 10[/tex]

Substitute [tex]S = 10[/tex] in [tex]M = 3S[/tex]

[tex]M = 3 * 10[/tex]

[tex]M = 3 0[/tex]

Hence;

[tex]Mother = 30\ years[/tex]

[tex]Son = 10\ years[/tex]

2/7x = 10 show work plz

Answers

Answer:

x = 35

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    2/7*x-(10)=0

                 2

Simplify   —

                  7

  2        

 (— • x) -  10  = 0

  7        

Subtracting a whole from a fraction

Rewrite the whole as a fraction using  7  as the denominator :

             10             10 • 7

   10 =  ——  =  ——————

               1                 7  

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

           2x - (10 • 7)                       2x - 70

—————————————  =  ———————

                     7                                   7  

Pull out like factors :

  2x - 70  =   2 • (x - 35)

         2 • (x - 35)

 ————————————  = 0

                 7      

When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

      2•(x-35)

 ———————— • 7 = 0 • 7

          7    

Now, on the left hand side, the  7  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  2  •  (x-35)  = 0

Solve :    2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solve  :    x-35 = 0

Add  35  to both sides of the equation :

                     x = 35

Answer is x= 35 hope this helps

3. Two computers in an office are connected to the same printer. The two computers and the printer form an isosceles triangle. Each computer is 30ft away from the printer. Don wants to connect the two computers to each other and needs to calculate how much cable will be necessary. He knows that 30 feet of cable already joins each computer to the printer and each computer is 40 degrees from the printer. Find the amount of cable needed to connect the two computers​

Answers

Use Socratic to find the answer to the question

Helppppppppppppppppppppppppp

Answers

if x:y = 1:3, then

x= 1
y= 3

plug in to answer choices:

1) y= 3x
3*1 = 3
y= 3

Answer: y= 3x
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