Write the next three terms of the arithmetic sequence.
First term: 2
Common difference: 13
The next three terms, in order, are, and

Write The Next Three Terms Of The Arithmetic Sequence.First Term: 2Common Difference: 13The Next Three

Answers

Answer 1

Answer:

So the first term is two so you start on the second term. 15,28,41

Answer 2

An arithmetic sequence having first term 2 and a common difference of 13 then the next terms are 15, 28 and 41.

What are arithmetic and geometric sequence?

An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference

d = aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.

In a geometric sequence numbers are written in the same constant ratio(r).

It means every next number is a multiple of a common constant and the previous number.

r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.

Given, An arithmetic sequence having first term 2 and a common difference of 13.

Therefore the next terms are (2+13), (2 + 2×13), (2 + 3×13).

= 15, 28, and 41.

learn more about arithmetic sequence here :

https://brainly.com/question/10396151

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Related Questions

For every 4 stickers it costs 2$ so if I get 50 stickers how much money would I have spent?

Answers

Answer:

25$

Step-by-step explanation:

If 4 stickers cost 2$, then each sticker would cost .50$

50(.5)=25

You would have spent 25$

Answer:

$25

Step-by-step explanation:

For every 2 sticks it's $1, so you divide 50 by 2 and get 25, so it's $25..... I think

I hope this helps!!!

A runner burns 100 Calories for every 15 minutes spent running. How many hours of running would it take for a runner to burn 600 Calories?

Answers

100 calories every 15 minutes
600/100 = 6
6 * 15
90 minutes
Hour and a half
It would take 90 minutes or 1 hour and 30 minutes to burn 600 calories.

600 divided by 100 equals 6. Multiply 6 and 15 and you’ll get 90. So the answer is 90 minutes (1 hour and 30 minutes)

Hope this helped :)


18. The radius of a circle is increasing at a constant rate of 3 cm per second. What is the rate of increase (at any point)
of the area of the circle?

Answers

Step-by-step explanation:

you should have to give more points for this answer

14 compact cars at 56% of cars sold that day

Answers

Answer:

4

Step-by-step explanation:

there are 60 inches in 5 feet. How many inches are in8 feet?​

Answers

Ok so

96 inches is the answer u calculate

Answer:

96 inches

Step-by-step explanation:

Brainliest me pls

Have a nice day! <3

2. Which of the following vectors is equal to vector with initial point (3, 7) and
terminal point (-5, -3)?
f. u= <2,-10>
g. u = <-2,-4>
h, u =<-8,4>
j. u = <-8,-10>

Answers

Answer:

j

Step-by-step explanation:

We can subtract 3 in the x-coordinate and 7 in the y-coordinate for both points.

(3-3,7-7) = (0,0)

(-5-3,-3-7) = <-8,-10>

Hope this helps!

20 points! For students majoring in Hospitality Management, it was determined that 5% have visited 1–10 states, 16% have visited 11–20 states, 45% have visited 21–30 states, 19% have visited 31–40 states, and 15% have visited 41–50 states. Suppose a Hospitality Management student is randomly selected. What is the probability that the student has visited 21 or more states?

0.15
0.21
0.45
0.79

Answers

Answer:

So i feel like the answers is .79

Step-by-step explanation:

asking for the ones that visited 21 or more so thats .45+.19+.15=.79

Answer:

.55

Step-by-step explanation:

1. A company that produces bread is concerned about the distribution of the amount of sodium in its bread. The company takes a simple random sample of 100 slices of bread and computes the sample mean to be 103 milligrams of sodium per slice. Assume that the population standard deviation is 10 milligrams. a) Construct a 95% confidence interval estimate for the mean sodium level. b) Construct a 99% confidence interval estimate for the mean sodium level.

Answers

Answer:

The 95% confidence interval is  [tex] 101.13  <  \mu < 104.87  [/tex]

The 99% confidence interval is  [tex] 100.54  <  \mu < 105.46   [/tex]

Step-by-step explanation:

From the question we are told that

   The  sample size is  n = 110

    The sample mean is  [tex]\= x = 103 \ mg[/tex]

     The population standard deviation is  [tex]\sigma = 10 \ mg[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>    [tex]E = 1.96 *  \frac{ 10 }{\sqrt{110} }[/tex]

=>    [tex]E =1.8688 [/tex]    

Generally 95% confidence interval is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

=>  [tex]103 - 1.8688 <  \mu < 103 + 1.8688 [/tex]

=>   [tex] 101.13  <  \mu < 104.87  [/tex]

Considering question b

From the question we are told the confidence level is  99% , hence the level of significance is    

      [tex]\alpha = (100 - 99 ) \%[/tex]

=>   [tex]\alpha = 0.01[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  2.58[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>    [tex]E = 2.58 *  \frac{ 10 }{\sqrt{110} }[/tex]

=>    [tex]E =2.4599  [/tex]    

Generally 99% confidence interval is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

=>  [tex]103 - 2.4599 <  \mu <103 + 2.4599  [/tex]

=>   [tex] 100.54  <  \mu < 105.46   [/tex]

A landscape contractor wants to make an exposed gravel border of uniform width around a rectangular pool in a garden. The pool is 10 feet long and 6 feet wide. There is enough material to cover 36 square feet. How wide should the border be

Answers

Answer:

Border should be 1 ft wide

Step-by-step explanation:

The pool is 10 feet long and 6 feet wide.

Now, since the landscape contractor wants to make an exposed gravel border of uniform width. Let the uniform width of the border be x. Thus it means the length is now (10 + 2x) and width is now (6 + 2x).

We are told there is enough material to cover 36 square feet.. Thus;

New area - old area = 36

[(10 + 2x) × (6 + 2x)] - (10 × 60) = 36

4x² + 32x + 60 - 60 = 36

4x² + 32x = 36

Subtract 36 from both sides to get;

4x² + 32x - 36 = 0

Using quadratic formula, we have;

x = -9 or 1

We will pick the positive value as the width can't be negative.

Thus;

x = 1 ft

Please help me thank you I appreciate it

Answers

Answer:

srt is 33

srq is 66

trq is 33

Answer:

∠SRT = 33°

Step-by-step explanation:

To track what angle they're talking about, connect the letters listed for each angle like connect the dots.

∠QRT is 33°

RT bisects ∠SRQ, meaning it's in the middle of it.

So half of ∠SRQ is 33°, meaning the full angle is double that: 66°

That also means that the other half of the angle is equal to the first half. ∠SRT=33°

LOOK AT PICTURE, WHOEVER HAS CORRECT ANSWER, I WILL MARK BRAINIEST :)

Answers

Answer:

B. 32

Step-by-step explanation:

instead of X in the equation put 3, you will get the answer as 32.

hope it helps!

Answer:

B. 32

Step-by-step explanation:

[tex]f(x) = \frac{1}{2} \bigg( {4} \bigg)^{x} \\ \\ plug \: x = 3 \\ \\ f(3) = \frac{1}{2} \bigg( {4} \bigg)^{3} \\ \\ f(3) = \frac{1}{2} \times 64 \\ \\ f(3) = 32[/tex]

The crisis in the housing market during the most recent economic recession led to lower vacancy rates in the apartment industry. This, in turn, has resulted in an increase in monthly rents for apartments. Suppose a random sample of 40 apartments had an average rent of $1,090. Assume the standard deviation for the population of apartment rents is $260. Determine the 98% confidence interval for this sample.

Answers

Answer:

(994.37, 1185.62)

Step-by-step explanation:

Given that :

Mean (m) = 1090

Standard deviation (s) = 260

Samole size (n) = 40

α = 98%

Using the relation :

Confidence interval = mean ± Error

Error = Zcritical * (standard deviation / sqrt (n))

Zcritical at 98% = 2.326

Error = 2.326 * (260 / sqrt(40))

Error = 95.620951

Hence,

Confidence interval :

Lower boundary = 1090 - 95.620951 = 994.379049

Upper boundary = 1090 + 95.620951 = 1185.620951

(994.37, 1185.62)

Help Me please


Veronica wants to check her work after evaluating 108 ÷(-6) what steps can she follow to verify her answer?



Divide her answer by -6 and see if the result is -108.


Divide her answer by -108 and see if the result is -6.


Multiply her answer by -6 and see if the result is -108.


Multiply her answer by -108 and see if the result is -6.

Answers

Multiply her answer by -6 and see if the result is -108

Answer:

Its C

Step-by-step explanation:

A string is 5.8 meters long. What is it's length in centimeters

Answers

Answer:

a

Step-by-step explanation:

because I said it was jejwjwjeiejehxueh ed uejrhcu

Answer:

580

Step-by-step explanation:

If 100 centimeters are in a meter, then we have to multiply 5.8 by 100 to find out the length of the string in centimeters.

(hope this helped)

In 2000, in order to reduce the unemployment rate, France mandated all employers with 20 or more employees to reduce the workweek to 35 hours. Prior to the new law, the unemployment rate in France was 12%. In a random sample of 500 French workers taken a few years after the new law went into effect, 53 workers were found to be unemployed. Using the p-value method, conduct a hypothesis test to determine if the French unemployment rate dropped after the enactment of the 35- hour workweek law. Assume the significance level as 0.05. (7 Points)

Answers

Answer:

We accept H₀ for a CI = 95 % we din´t find differences in the unemployment level

Step-by-step explanation:

p₀  = 12 %     p₀  = 0,12

From sample  p = 53/500     p = 0,106

Test Hypothesis

Null Hypothesis                                      H₀                       p = p₀

Alternative Hypothesis                         Hₐ                       p < p₀

p₀*n  = 0,12*500 = 60

q₀ * n = 0,88 * 500 = 440

Then the binomial distribution can be approximate to a normal distribution

The significance level  α = 0,05     CI = 95 %

We need to develop a one-tail test (to the left ) find p-value and compare it with α.

p(s) = ( p - p₀ ) / √ p*q /n

p(s) = 0,106 - 0,12 / √(0,12)*(0,88)/500

p(s) = - 0,014 / 0,015

p(s) = - 0,93

With this P score we find the area under the bell shape curve

p-value = 0,1762 and compare that area with α = 0,05

Then p-value > 0,05

Therefore we accept H₀

In the diagram ce=12 units and be=5 units based on the given information what is ae?

Answers

Answer:

AE = 12 units

Step-by-step explanation:

ce is the same unit as AE

Answer:

C: 12 units

Step-by-step explanation:

Help fast please!!!

6x + 4 = 2x - 12

Answers

6x+4=-12-4
4x=-16
X=-4

Apollo Spas services 156 hot tubs. If each hot tub needs 105 mL of muriatic acid, how many liters of acid are needed for all of the hot tubs?

Answers

Answer:

16380 mL or 16.380 L

Step-by-step explanation:

1 hot tub requires 105 mL of Acid

156 hot tubs requires 105 * 156 mL of acid = 16380 mL of acid are needed.

16380 / 1000 mL/L = 16.380 Liters.

HELP!!

Look at the graph of the system of equations and
choose the option that best answers each question.
What is the solution?
Which equation represents the orange line, line 0?
Which equation represents the blue line, line B?

Answers

Answer: (15,180) y=0x+180 y=10x+30

Step-by-step explanation:

Answer:

first one: (15, 180)

second one: y = 0x + 180

third one: y = 10x + 30

Step-by-step explanation:

Find the volume of the region between the cylinder z=3y^2 and the xy-plane that is bounded by the planes x=0,x=1 ,y=-1 and . z = y2 x = 0 x = 1 y = − 1 y =1

Answers

Answer:

The volume of the region V = 2

Step-by-step explanation:

Given that:

[tex]z_1 = 3y^2[/tex] ;

where initially;

[tex]z_o = 0; \ x_o = 0; \ x_1 = 1; \ y_o= -1; \ y_1 = 1[/tex]

The volume of the region is given by a triple which is expressed as:

[tex]V = \int_x \int_y \int_z \ dz \ dy \ dx[/tex]

[tex]V = \int \limits ^{x_1 = 1}_{x_o=0} \int \limits ^{y_1 = 1}_{y_o=-1} \int \limits ^{z_1 = 3y^2}_{z_o=0} \ dz \ dy \ dx[/tex]

[tex]V = \int \limits ^{1}_{0} \int \limits ^{ 1}_{-1} \int \limits ^{3y^2}_{0} \ dz \ dy \ dx[/tex]

[tex]V = \int \limits ^{1}_{0} \int \limits ^{ 1}_{-1} \Bigg [z \Bigg]^{3y^2}_{0} \ dy \ dx[/tex]

[tex]V = \int \limits ^{1}_{0} \int \limits ^{ 1}_{-1} \Bigg [3y^2 \Bigg] \ dy \ dx[/tex]

[tex]V = \int \limits ^{1}_{0} \Bigg [\dfrac{3y^3}{3} \Bigg]^1_{-1} \ dx[/tex]

[tex]V = \int \limits ^{1}_{0} \Bigg [\dfrac{3(1)^3}{3}- \dfrac{3(-1)^3}{3} \Bigg] \ dx[/tex]

[tex]V = \int \limits ^{1}_{0} \Bigg [1-(-1)\Bigg] \ dx[/tex]

[tex]V =2 \Bigg [x \Bigg] ^1_0[/tex]

V = 2

Thus, the volume of the region is 2

Find a · b.
a = 5i + 4j − k, b = −4i + 9k

Answers

Answer

a · b= the square root of b(5i + 4j - k) divided by b

An infinite solution means the solutions for the algebraic equation are endless

Answers

Answer:

Correct

Step-by-step explanation:

Shara and her brother have n dollars to spend at the school carnival . They each spend more than 6 dollars . Create an inequality to represent the total number of dollars ,n, shara and her brother spent at the carnival

Answers

n>6 because they spent over 6 dollars meaning their n amount of money needs to be more than six

convert 25% into fraction with method​

Answers

25% equals 0.25. This is 1 4th of 100 making the fraction 1/4

Answer:

¼

Step-by-step explanation:

25%

= 25÷100

= ¼ (°.° 25×4 = 100)

HELP THIS IS DUE IN ONE HOUR I NEED A GOOD ANSWER! Each sales associate at an electronics store has a choice of the two salary options shown below.
• $115 per week plus 9.5% commission on the associate’s total sales
• $450 per week with no commission


a. The average of the total sales amount for each associate last year was $125,000. Based on this average, which salary option would result in a higher salary?









b. What is the difference between the two salary options?

Answers

Answer:

A) The best option would be a fixed weekly salary of $ 450.

B) The difference between the two options is $ 106.64.

Step-by-step explanation:

A) To determine which option would result in a better salary, knowing that on the one hand you can have a fixed salary of $ 450 per week without commission, while on the other you can have a salary of $ 115 per week plus a commission of 9.5% on the total sales of Each associate, knowing that the average annual sales of each associate in the last year was $ 125,000 and that each year has 52 weeks, the following calculation must be made:

125,000 / 52 = Average sales per week

2,403.84 = Average sales per week

2,403.84 x 0.095 = Weekly commission

228.36 = Weekly commission

228.36 + 115 = Weekly salary

343.36 = Weekly salary

Therefore, the best option would be a fixed weekly salary of $ 450.

B) The difference between both options arises from the subtraction between each amount received by the worker, that is:

450 - 343.36 = X

106.64 = X

Therefore, the difference between the two options is $ 106.64.

PLZ HELP ME!!!
18 packages of basil cost $54. How many packages can you buy for $9?

Answers

Answer:

3

Step-by-step explanation:

Answer:

3 packages of basil.

Step-by-step explanation:

I divided 54/18 and got 3.

I used this number to calculate how much each package of basil costs, $3.00.

And 3 + 3 + 3 =9. So 3 packages of basil is hopefully the answer.

Someone help me please

Answers

Step-by-step explanation:

i think c is your answer

Complete the table for the equation y = x - 2. Then use the table to graph the equation.

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given the equation

[tex]y = x-2[/tex]

comparing with the slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where m is the slope and b is the y-intercept

so

The slope of the line y = x-2 will be: m = 1The y-intercept of the line = b = -2

Let us plug in some values

at x = 0, y = x-2 ⇒ y = 0-2  ⇒ y = -2

at x = 1, y = x-2 ⇒ y = 1-2  ⇒ y = -1

at x = 2, y = x-2 ⇒ y = 2-2  ⇒ y = 0

at x = 3, y = x-2 ⇒ y = 3-2  ⇒ y = 1

at x = 4, y = 4-2 ⇒ y = 4-2  ⇒ y = 2

Thus, the table of the equation y = x-2 becomes

x                  y

0                 -2

1                   -1

2                  0

3                   1

4                   2

Please check the attached graph.

At the movie theater,
each chrink costs 3
dollars and each box of
candy costs x dollars.
Charlie bought 2 drinks
and one box of candy
Tyrell bought I drink and 3
boxes of candy Write a
simplfled expression
representing how much
mone Charlie spent.

Answers

Step-by-step explanation:

Charlie bought 2 drinks and 1 box of candy

=> 2($3) + 1($x)

=> $(6 + x).

Danae is shopping for grass seed. The prices of bags from four brands are shown in the table.

Grass Seed
Brand
Price
Coverage
A
$18.99
3,000 square feet
B
$22.99
4,000 square feet
C
$31.99
5,000 square feet
D
$36.99
6,000 square feet

Which brand of seed has the lowest cost per square foot?
Brand A
Brand B
Brand C
Brand D

Answers

The answer is B ( I think )

Answer:

The answer is B got it right :)

Step-by-step explanation:

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Most of which type of electromagnetic radiation is given off by Earth's surface at night?1gamma rays2.ultraviolet light3.visible light4infrared rays Triangles J K L and M N R are shown.In the diagram, J M and JL MR. What additional information is needed to show JKL MNR by SAS?KL NRL RK NJK MN A company reports annual sales of $5 million, cost of goods sold of $2 million, inventory of $0.5 million, and net income of $0.75 million. What are the company's annual inventory turns?a. 10b. 4c. 0.25d. 0.1 Which diagnostic studies would the health care provider prescribe to determine loss of kidney function secondary to fibrosis from significant anatomic abnormalities or recurrent upper urinary tract infections A square tile has a width of 1/4 foot. How many tiles will fit end-to-end along a 4-foot wall? Given the figure above find the value of x and z How long is the fence around the softball field? please help, ill give brainly PLEASE ANSWER: What are the three constitutional requirements of a president? Choose exactly three answers that are correct. must have served in another political office for at least 10 years must be at least 35 years old must be a native-born citizen must have lived in the United States for at least 14 years. (PLEASE use your own words) (best answer gets brainliest) Explain in short about the plant resources of nepal?? Select all of the CENTRIFUGAL forces: (Hint: Select 4) 10 points ineffective government Homogenous culture uneven development extremism well developed infrastructure lack of cultural cohesion In heterotrophs, energy for the life processes comes from the chemical energy stored in bonds of?A.water molecules B. Oxygen molecules C. Organic compounds D.inorganic compounds WILL MARK BRAINLIEST IF CORRECT!!Why did sugar plantation owners oppose secession? Check all that apply. They believed that the Constitution already protected slavery.The federal government protected their land interests. They agreed that slavery should be phased out. They had strong economic ties to the North.A federal tariff protected their interests. A 7750 kg space probe, moving nose-first toward Jupiter at 179 m/s relative to the Sun, fires its rocket engine, ejecting 72.0 kg of exhaust at a speed of 230 m/s relative to the space probe. What is the final velocity of the probe? Mirah has breakfast at a reaturant. She leaves an 20% tip of $1.80 the width of a rectangle is 15inches more than the length the perimeter is 90inches find the If the selling price for laptop is $1100 and is marked down by 30% in promotional offers, then sale price after discount is WILL GIVE BRAINLIEST AND 70 POINT! PLEASE HELP ME! Youve been in a car traveling at 80 km/hr. How many hours will it take to travel 640 km? Un almuerzo cuesta $12.95 pero tiene un 8% de impuestos, cunto pagar el cliente en totalA:$13.99B:$1.04C:11.91