What is the 18th term in an arithmetic sequence with the first term equal to 6 and the constant difference equal to 17?

Answers

Answer 1

Answer: 295

Step-by-step explanation:

[tex]Formula: a_n=a_1+(n-1)d[/tex]

Where;

[tex]a_n[/tex] = nth term (the term we're trying to find.)

[tex]a_1[/tex] = first term

[tex]n[/tex] = nth term

[tex]d[/tex] = difference

[tex]a_1_8=6+(18-1)(17)\\a_1_8=6+(17)(17)\\a_1_8=6+289\\a_1_8=295[/tex]


Related Questions

Is this false, if it is why is it false or true?!

Answers

Answer:

Yes, this is false.

Step-by-step explanation:

[tex]\frac{2}{4}[/tex] is really 0.5

[tex]\frac{8}{20}[/tex] is really 0.4

So, it is not equal. If you need me to explain more. I will. :)

Answer:

False. [tex]\frac{8}{20} = \frac{2}{5}[/tex]

Step-by-step explanation:

When you divided [tex]\frac{8}{20}[/tex] by GCF your answer comes out as [tex]\frac{2}{5}[/tex].

I.e.) The GCF is (4)

[tex]\frac{8}{20}[/tex] ÷ [tex]\frac{4}{4}[/tex]=[tex]\frac{2}{5}[/tex]

Look at the equation shown below.

−6x−8=4

Which of the following represents the solution to the equation?

x=−23

x=−2

x=2

x=23

Answers

_____________________________

Hey!!

Solution,

-6x-8=4

or, -6x=4+8

or, -6x=12

or,X=12/-6

X=-2

The right answer is -2.

Hope this helps..

____________________________

What is the rate of change/slope?
Miles per hour
2 hours= 70 miles
4 hours= 140 miles
6 hours= 210 miles
8 hours = 280 miles

Answers

Answer:

35 miles per hour

Step-by-step explanation:

The slope is

m = (y2-y1)/(x2-x1)

    = (280-210)/(8-6)

    = 70/2

    = 35 miles per hour

Answer: 1hr/35miles

Step-by-step explanation:

in order to pay for his expenses Chuck needs to earn $3,400 at least every month when Chuck Works overtime he earns $5000 per month if the variable T stands for the amount of money Chuck has left after paying for his expenses every month, which of the following choices is the most reasonable value for e when he works overtime

A. $600
B. $1600
C. 1200
D.$8400

Answers

The answer is B. $1600 because you have to subtract it

Answer:

B.  $1,600

Step-by-step explanation:

$3,400 + T = $5,000

T = $5,000 - $3,400

T = $1,600

I will give brainliest answer

Answers

Answer:

The answer would be 12.571428571 units or 12.57units.

a car runs 20mph how much does it travel in 1 hour

Answers

the answer is in the question itself... so since it says 20 miles per hour that’s the distance it covers per hour. the answer would be it travels 20 miles in an hour
20mph because it says in the question that it already runs 20 mph

I will give the brainliest answer

Answers

Answer:

82units²

Step-by-step explanation:

=2(3*7)+2(3*2)+2(7*2)

=82 units²

Answer:

[tex]82 {units}^{2} [/tex]

Step-by-step

explanation

explanation is attached to the picture

hope this helps

brainliest appreciated

good luck! have a nice day!

1.) Edge Fitness charges $18 a month for a gym membership and a $30 start-up fee. How much would you spend after 1 year at the gym?

Equation:

Answers

Answer:

$246

Step-by-step explanation:

30 + 18(12)=

30 + 216

246

Answer:

30+12*18=246

Step-by-step explanation:

İf the bill 18 dollars for month, it's equals 216 from 12*18.

And the start-fee is 30  dollars. Then 216+30=246

Which of these equation have no solution ? Check all that apply

Answers

Answer:

A,B,E

Step-by-step explanation:

I DID THE WORK

Answer:

he is right

Step-by-step explanation:

The cost of renting a car is $55/wk plus $0.15/mi traveled during that week. An equation to represent the cost would be
y = 55 + 0.15x,
where x is the number of miles traveled.

Suppose you have a maximum of $100 to spend for the car rental. What would be the maximum number of miles you could travel?





Answers

Answer:

300 miles

Step-by-step explanation:

100 - 55 =45

45/.15 =300

so x = 300

please help me out, and find the volume i don’t know how to do this, if you can please explain how to do it as well

Answers

ur gonna do : lxbxh

so :

8x5x7

the answer is 280 yd cubed

The following graphs have no scales assigned to them. Which of them could
not possibly be density curves for a continuous random variable if they were
provided with the right scale?
Check all that apply
A. Graph A
B. Graph B
C. Graph
D. Graph D
E.Graph E

Answers

Graph A, and graph C could not possibly be density curves for a continuous random variable if they were provided with the right scale.

Given four graphs of different nature as options.

We are required to find a graph that is not a continuous variable.

What is continuity?

In mathematics, a continuous function is a function such that a continuous variation of the argument induces a continuous variation of the value of the function.

Continuous lines are those lines that when decreased, decrease with continuity and when increased, increase with continuity.

When we observe graph A, graph C. In these graphs, the value of the function keeps increasing and decreasing a lot and is not in continuity.

Hence, graph A, and graph C could not possibly be density curves for a continuous random variable if they were provided with the right scale.

Learn more about continuity at

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Answer: Graph B and Graph C

Step-by-step explanation:

Esteban's credit card issuing bank charges him an APR of 16% on new purchases, and 24% on
cash advances. What would the bank charge Esteban monthly in finance charges for a $700 cash
advance?

Answers

Answer: $14

Step-by-step explanation:

Hi, to answer this question we have to multiply the amount of the cash advance (700) by the APR for cash advances in decimal form (divided by 100):

700 x (24/100) = $168 (a year)

To obtain the monthly charges, we have to divide the result by the number of months in a year (12):

168 /12 = $14

Feel free to ask for more if needed or if you did not understand something.

The rectangular field at Wilson Middle School is 300 feet long and 175 feet wide. In gym
class, students warm up by jogging along the edges of the field. What is the total number
of feet they jog?
475 feet
950 feet
52.500 feet
105.000 feet

Answers

the total number of feet they jog is 950 feet.

The average cost of a movie ticket is $7.50. If this price increases annually by 7 percent, how much would a movie ticket cost in 9 years?

Answers

Answer: After 9 years, the ticket will be $13.79

Answer:

$13.79

Step-by-step explanation:

FV = PV(1+r/100)^9

A =7.50 (1+ [7/100]) ^9

A = $13.79 per ticket

pls help this is due in 31 minutes pls help.​

Answers

Answer:

option 3

Step-by-step explanation:

each little square represents a side of a cube, so it is 81 in^2

So, lets take a square root, since all distance is positive, it is 9, since a cub'es side lengths are all the same, the dimensions are 9*9*9inches, or option 3

Where was her mistake if she made any?

Answers

I don’t think she made a mistake, I might be wrong tho

Tanisha is going bowling with her friends. It costs $3.00 to rent a pair of shoes and $4.50 per game. If Tanisha has $16.50, which equation can she use to determine how
many games, g, she can bowl?
1.3g + 4.50 = 16.50
2.4.50g + 3 = 16.50
3.3(9 + 4.50) = 16.50
4.3+4.50 + 16.50 = g
pls help

Answers

Number 2, $4.50x games played + $3 shoes = $16.50

Nathan is facing west. He takes a quarter-turn anticlockwise. What direction is he now facing?

Answers

Nathan is facing West and when he takes a quarter-turn anticlockwise, then he will be facing South.

A quarter-turn anticlockwise

A quarter-turn anticlockwise means turning [tex]90^{\circ}[/tex] toward the left side.

How to find the direction?

Suppose a circle where Nathan is facing West.

Now when he takes a quarter-turn anticlockwise means [tex]90^{\circ}[/tex] toward the left side, he would end up facing South.

So, the direction in which he is facing is South.

Learn more about anticlockwise here-https://brainly.com/question/16610588

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One more than six times that number is 37. Select the solution and graph that represents the original number. x = 4 Point 4 graphed on number line. x = 6 Point 6 graphed on number line. x = 7 Point 7 graphed on number line. x = 9 Point 9 graphed on number line.

Answers

Answer:

x = 6

Step-by-step explanation:

to solve this you can just subtract 1 from 37 which is 36 and divide it by 6 which is 6.

Solve this system of equations using the multiplication method. Please show all work to receive credit. 5x - 2y = 30 2x + 4y = 24

Answers

Answer:

its 4

Step-by-step explanation:

Sandy surveyed the students in his class. He found that 8 of 31 students like writing with pencils rather then pens. If there are 1,381 students in the school, how may prefer writing with a pencil?

Answers

Answer:

5,532.

Step-by-step explanation:

a pair of shoes is originally priced at 120 It is on sale for 35% off . Find the total percent that you would pay a .35% b.120% c.65% d70%

Answers

Answer:

C

Step-by-step explanation:

Im not exactly sure about this, but i think for the first step, you would do 120*35/100=42 (35/100 is 35%). Then you take 120 and subtract 42, cuz thats how much you took off. 120-42=78. Then, you do 78/120*100 to get the percent you have left. 78/120*100=65%. The simpler way to do it, seeing as there arent mutiple sales on this pair of shoes, is just subtract 35 from 100 to get 65%

Answer:

c: 65% of the answer

Step-by-step explanation:

$120 is 100% we need to find the discount which is 100%-35% = 65%

You will pay now $78 for the shoes.

cross-check 120/100*65 = $78

Can someone help me on this? I really need help badly.

Answers

Answer:

To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.

Step-by-step explanation:

To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.

Which expressions are equivalent to 5x-15? Select three options

B,C,E

Answers

Answer:

5(x-3)

Step-by-step explanation:

5(x - 3)

= 5*x - 5*3

= 5x - 15

Answer:

yup this is correct b,c,e

Step-by-step explanation:

The function h(x) is a translation of the exponential function g(x) = 2(3)* - 4. What's
h(x) if the translation is a vertical stretch by a factor of 2, a vertical shift upward 9
units, and a horizontal shift to the right 7 units?

Answers

Answer: The correct answer is A

Step-by-step explanation:

The function h(x) is a translation of the exponential function,

[tex]g(x) = 2(3)^{x-4}[/tex] is  [tex]h(x) = 4(3)^{x-7} - 9\\\\[/tex].

Given that,

The function h(x) is a translation of the exponential function,

[tex]g(x) = 2(3)^{x-4}[/tex]

We have to determine,

What's  h(x) if the translation is a vertical stretch by a factor of 2, a vertical shift upward 9 units, and a horizontal shift to the right 7 units?

According to the question,

Exponential function; [tex]g(x) = 2(3)^{x-4}[/tex]

To find the translation in h(x) following all the steps given below.

Step1; The function h(x) is vertically stretched by 2.

                   [tex]h(x) = 2(2(3)^{x-4} )\\\\h(x) = 4(3)^{x-4}[/tex]

Step2; Vertically shift upward by 9,

                    [tex]h(x) = 4(3)^{x-4} \\\\h(x) = 4(3)^{x-4} - 9[/tex]

Step3; And a horizontal shift to the right 7 units,

                    [tex]h(x) = 4(3)^{x-7} - 9\\\\[/tex]

Hence, The function h(x) is a translation of the exponential function,

[tex]g(x) = 2(3)^{x-4}[/tex] is  [tex]h(x) = 4(3)^{x-7} - 9\\\\[/tex].

To know more about Function click the link given below.

https://brainly.com/question/14418346

The volume, V, of a rectangular solid is found using the equation V= Iwh, where I is the length, w is the width, and h is the height of the solid. A rectangular solid has length of 16 and height of 5. Which equation represents the volume of the solid, in terms of its width?

Answers

Answer:

Volume = length × width × height

length = 16

height = 5

V= 16 × w × 5

V = 80w

Hope this helps.

IS THIS A FUNCTION OR NOT HELP PLEASEEEEEE! The table compares the amount of homework Khaled gave to his class, and the number of students who completed them, for several different occasions. Can the number of students who completed their homework be represented as a function of the homework's size? Homework (# of questions) Complete (# of students) 5 55 30 3030 8 88 24 2424 6 66 26 2626 10 1010 20 2020 4 44 32 3232 7 77 25 2525 6 66 26 2626 8 88 24 2424 Choose 1 answer:

Answers

Answer: The answer is Yes.

Step-by-step explanation:

Can not represent as a function. since some output have more than one input

What is sample space?

The sample space S of a random experiment is defined as the set of all possible outcomes of an experiment. In a random experiment, the outcomes, also known as sample points, are mutually

No, because various numbers of students complete different sizes of homework, the number of students who finish their homework cannot be expressed as a function of the size of the assignment.

Khaled, for instance, was assigned a size 8 assignment twice, and on each occasion, a different amount of pupils finished it (24 and 21). There should only be one output for each input in a function, yet in this situation, some inputs have more than one output.

Learn more about sample space here:

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Complete question:

The table compares the amount of homework Khaled gave to his class, and the number of students who completed them, on several different occasions. Can the number of students who completed their homework be represented as a function of the homework's size?

Homework     Complete

5                            30

8                            24

6                            26

10                            20

4                            32

7                            25

6                            26

8                            24

Determine the value of x in the figure. answers: A) x = 90 B) x = 40 C) x = 45 D) x = 135

Answers

Answer:

Please mark be brainliest and I hoped this helped!

x = 45°

Step-by-step explanation:

Since this is an isosceles triangle, that means that x, and the angle opposite from x, are the same. We take 135° and subtract that from 180°. That gives us 45°. Since the angle opposing x is 45°, then x is 45° as well.

Answer:

Step-by-step explanation:

j

A carnival ride is in the shape of a wheel with the radius of 30 feet. The wheel has 30 cars attached to the center of the wheel. What is the central angle, arc length, and area of sector between any two cars? Round answers to the nearest hundredth if applicable. You must show all work and calculations to receive full credit.

Answers

Answer:

α = 12°

L = 6.28 ft

[tex]A = 94.25 ft^2[/tex]

Step-by-step explanation:

The wheel contains 30 cars attached to it.

The wheel is in the shape of a circle and a circle has 360°.

Therefore, the angle between any two cars will be:

360 / 30 = 12°

The length of the arc between two cars is given as:

[tex]L = \frac{\alpha }{360} * 2\pi R[/tex]

where α = central angle of sector

R = radius of circle

Given that the radius of the wheel is 30 feet, the length of the arc is:

[tex]L = \frac{12}{360} * 2 * \pi * 30\\\\L = 6.28 ft[/tex]

The area of a sector is given by:

[tex]A = \frac{\alpha }{360} * \pi R^2[/tex]

Therefore, the area of the sector between any two cars is:

[tex]A = \frac{12}{360} * \pi * 30^2\\\\A = 94.25 ft^2[/tex]

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