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

HELP ME ASAP IT IS DUE TODAY!!!!!!!! WHOEVER ANSWER THIS WILL BE REWARDED

Answers

Answer:

Large Pizza

Step-by-step explanation:

Rewarded with what? :P

Anyway,

The area of a circle is pi*r^2. Additionally, the radius is half the diameter.

The first pizza(s) have diameter 12, which means they have radius 6. The area of one is 6*6*pi=36pi, and since there are two we multiply by 2 to get 72pi.

The second pizza has diameter 18, so radius 9. The area of it is 9*9*pi=81pi.

Clearly 72pi is less than 81pi, so the Large Pizza is biggest.

Hope that helped,

-sirswagger21

(oh yeah and btw give me a million bucks for the reward ty :v)

pls help (mathematics)

Answers

Answer:

Answer is C.

Step-by-step explanation:

When radius is 1, the volume is 4. When radius is 2, it's 32. Which means It becomes 8 times bigger because 32 divided by 4 (32/4) is 8.

Answer:

its not D and its not  A or B so the answer would be C...

Step-by-step explanation:

Simplify the product. Write the answer in standard form.
(x2 + 4)(x+3)​

Answers

Answer:

x^3 + 3x^2 + 4x + 12

Which expression gives the length of the transverse axis of the hyperbola
shown below?

Answers

Answer:x-y

Explanation:

Length of transverse axis of hyperbola means distance between both the vertices of hyperbola which is constant given by 2a.

As definition of hyperbola:

Difference in distance of any point (x,y) from both focus is a positive constant equals to length of transverse axis.

So, distance of (x,y) from foci 1)-( distance of (x,y) from foci 2)=2a

x-y=2a

Length of transverse axis is x-y.

hope it helps....

Good luck on your assignment

The length of the transverse axis is x - y if point (x, y) is separated from either focus by a positive constant equal to the transverse axis' length option (C) x - y is correct.

What is hyperbola?

It's a two-dimensional geometry curve with two components that are both symmetric. In other words, the number of points in two-dimensional geometry that have a constant difference between them and two fixed points in the plane can be defined.

We have given a hyperbola shown in the picture.

The green line indicates the transverse axis of the hyperbola.

As we know,

The distance between the two vertices of the hyperbola, which is always given by 2a, is referred to as the length of the transverse axis.

Any point (x, y) is separated from either focus by a positive constant equal to the transverse axis' length.

x-y=2a

The length of the transverse axis =  x - y

Thus, the length of the transverse axis is x - y if point (x, y) is separated from either focus by a positive constant equal to the transverse axis' length option (C) x - y is correct.

Learn more about the hyperbola here:

brainly.com/question/12919612

#SPJ5

A student at a university makes money by buying and selling used cars. Charles bought a used car and later sold it for a 20​% profit. If he sold it for ​$4560​, how much did Charles pay for the​ car? Charles paid ​$? for the car.

Answers

Answer:

He paid $3648

Step-by-step explanation:

If you subtract 20% from 4560 which he sold it for you will get how much he paid for it.

4560 - 20% = $3648

Whats the radius of this?

Answers

Answer:

Its trying to trick you, you dont need any fancy shmancy formula. If you see the 8 its trying to make you think of a formula but if there is a formula and you get it wrong then you get it wrong. Its easy the 8 is there but a circle has a radius no matter where you measure it. 8/2 = 4. Radius is 4 Diameter is 8

Think outside the box 4 is radius 8 is diamater

Za and Zb are complementary angles. Za measures 22º.
What is the measure of Zb?

Answers

Answer:

b = 68

Step-by-step explanation:

Complementary angles add to 90 degrees

a+b = 90

22+b = 90

Subtract 22 from each side

b = 90-22

b = 68

Answer:

68 degrees

Step-by-step explanation:

Complementary Angles: The sum of the angles is 90 degrees.

If angle a is 22 degrees, then...

a + b = 90

22 + b = 90

22 - 22 + b = 90 - 22

b = 68

That means that the measure of angle b is 68 degrees.

I hope this helps! Have a great day!

A photograph measures 8 1/2 inches by 5 3/4 inches. Find its area.

Answers

Answer:

48 7/8

I hope this helps.

Answer:

Step-by-step explanation:

48 7/8

please be neat when answering

Answers

Answer:

In fig. 9, angle Y = angle 110° (vertically opposite angles )

Angle x = angle z = 180 - 110 = 70° (angles on a straight line)

In fig 10, angle y = 78°

Angle x = angle z = 180-78 = 102°

In fig 11, angle x = 83°

Angle y = angle z = 180-83 = 97°

In fig 12, angle y = 37°

Angle x = angle z = 180-37 = 143°

29 40 40 40 40 41 51 56 62 63 whats the interquarile range​

Answers

Answer:

At a glance, we use the middle values and not sure if you have made the outer quartile numbers inclusive.

Based on you doing so we take the 56-40 = 16 range

If you haven't included outside numbers

We take the 63-29 = 34 range

Step-by-step explanation:

Please help me solve this puzzle.

Answers

Step-by-step explanation:

marmiad=10

trident=6

pearls =4

10+6×4

=16×4

=64

hey!!

Answer:34

Step by step explanation:

4+4+4=12

4+4+10=18

6+10+10=26

10+6*4=34

hope it helps..

The initial point of a⃗ is (−2,4), and its terminal point is (−5,−2). What is the value of ‖a⃗ ‖? Give your answer as a simplified radical.

Answers

Answer:

[tex]3\sqrt{5}.[/tex]

Step-by-step explanation:

It is given that the initial point of [tex]\vec{a}[/tex] is (-2,4) and terminal point is (-5,-2). So, [tex]\vec{a}[/tex] is defined as

[tex]\vec{a}=(-5-(-2))\hat{i}+(-2-4)\hat{j}[/tex]

[tex]\vec{a}=(-5+2)\hat{i}+(-2-4)\hat{j}[/tex]  

[tex]\vec{a}=-3\hat{i}-6\hat{j}[/tex]

The magnitude of [tex]\vec{v}=a\hat{i}+b\hat{j}[/tex] is

[tex]|\vec{v}|=\sqrt{a^2+b^2}[/tex]

The magnitude of [tex]\vec{a}[/tex] is

[tex]|\vec{a}|=\sqrt{(-3)^2+(-6)^2}[/tex]

[tex]|\vec{a}|=\sqrt{9+36}[/tex]

[tex]|\vec{a}|=\sqrt{45}[/tex]

[tex]|\vec{a}|=3\sqrt{5}[/tex]

Modulus of magnitude is

[tex]||\vec{a}||=|3\sqrt{5}|=3\sqrt{5}[/tex]

So, the magnitude of [tex]\vec{a}[/tex] is [tex]3\sqrt{5}.[/tex]

Work this out for meee

Answers

Answer:

87.5cm²

Step-by-step explanation:

area of trapezium = 1/2 (a+b)h

1/2 × (10 + 15) ×7

1/2 × 25 × 7

1/2 × 175 = 87.5

Answer:

87,5 cm²

Step-by-step explanation:

A = (b + B)×h/2

= (10cm + 15cm)×7cm/2

= 25cm×3,5cm

= 87,5 cm²


Y=4x + 6
Y = 6x - 12

Solve the systems of equation by substitution

Answers

Answer:

x=9, y=42

Step-by-step explanation:

y=4x+6

y=6x-12

Substitute the second equation into the first:

6x-12=4x+6

Subtract 4x from both sides:

2x-12=6

Add 12 to both sides:

2x=18

Divide both sides by 2:

x=9

Plug this back into one of the equations to find y:

y=4(9)+6=36+6=42

Hope this helps!

There are 30 dogs at the park. 56 of the dogs are large.

Which method is a way to find the number of large dogs at the park?

Answers

Answer:

30-56

Step-by-step explanation:

It would be to Multiply 30 and [tex]\frac{1}{6}[/tex].

Lily likes to collect records last year she had
15 records in her collection this year she
has 24 records what is the increase of her
collection

Answers

the answer would be she had an increase of 9 records this year. so she had 15 last year and this year 24. to get the increase you should subtract the amount she had this year (24) by the amount she had last year (15). this equals 9.
The increase is 9. 24-15 or 15- 24 can be used to solve this. The absolute value of both of them is 9. So the answer is 9 hope this helped :p

Colton is painting a set of figurines a solid color. It takes him 15 minutes and 5 milliliters of paint to finish a small figurine. It takes him 30 minutes and 8 milliliters of paint to complete a large figurine. Colton plans to paint for at least 360 minutes, and he can use a maximum of 100 milliliters of paint.

This graph and system of inequalities represent this situation, where x represents the number of completed small figurines and y represents the number of completed large figurines.

15x + 30 ≥ 360
5x + 8y ≤ 100



Which solution is valid within the context of the situation?

A.
(4,10)
B.
(-2,13)
C.
(1,11.75)
D.
(6,9)

Answers

Answer:

A

Step-by-step explanation:

B,C,D are not in the pink/purplish area when you plot them on the graph

Brainliest plz

Dear some moderators,

read before you delete no brainers!

From, a brainly user

Answer:

A. (4,10)

Step-by-step explanation:

Answer plz!
Which choices are equivalent to the quotient below? Check all that apply.

Answers

Answer:

A(√2) would be the correct answer.

Answer:

[tex] \boxed{A. \: \sqrt{2} \: \: \: and \: \: \: F. \: \frac{ \sqrt{4} }{ \sqrt{2} }} [/tex]

Step-by-step explanation:

[tex] = > \frac{ \sqrt{18} }{ \sqrt{9} } = \frac{ \sqrt{9 \times 2} }{ \sqrt{9} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ \cancel{ \sqrt{9}} \times \sqrt{2} }{ \cancel{ \sqrt{9} }} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sqrt{2} [/tex]

[tex]F. \: \frac{ \sqrt{4} }{ \sqrt{2} } = \frac{ \sqrt{2 \times 2} }{ \sqrt{2} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ \cancel{\sqrt{2}} \times \sqrt{2} }{ \cancel{\sqrt{2}}} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sqrt{2} [/tex]

HELLO PLEASE HELO ME.

Answers

Answer:

the answer is 33

Step-by-step explanation:90 - 57=33

Answer:

33 degrees

Step-by-step explanation:

90-57=33

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!

Can the two triangles be proven congruent by SAS? Explain. answers: A) Yes. The shared side, image, provides enough information for SAS. B) No. There's only enough information provided for ASA. C) Yes. Angle B and angle D can be assumed to be right angles. D) No. The shared side, image, would provide enough information for SSA, but this is not a congruence theorem.

Answers

Answer:

A) Yes. The shared side, image, provides enough information for SAS.

Step-by-step explanation:

This mapping represents a function named f .

Which of the chices also represents the function, f?​

Answers

Answer:

Last option (the drawn)

Step-by-step explanation:

The following points correspond to f:

(3, -2), (9, 2)

The slope of the line (m) is:

m = (2 - (-2))/(9 - 3) = 4/6 = 2/3

Therefore, the first option is incorrect (its slope is 3/2).

To find the y-intercept (b) of the line, we replace a known point and the slope into the general equation:

y = mx + b

2 = 2/3(9) + b

b = 2 - 6

b = -4

Therefore, the third option is incorrect (it add 4 instead of subtracting 4).

Replacing x = 6 into the equation we get:

y = 2/3(6) - 4

y = 0

then, point (6, 0) belongs to the line. Therefore, the second option is incorrect (it has the point (6, 1) instead); and the fourth option is correct (it is a line that includes points (0, -4) and (6, 0)).

Answer: the 4th answer is correct

Sydney bikes 32 miles in 2 hours and 64 miles in 4 hours. He bikes at a constant rate. Which function gives the distance d that he travels in t hours?

A. d= 64 t
B. d= 32 t
C. d= 16 t
D. d = 8 t

Answers

Answer:

C. d = 16t

Step-by-step explanation:

Since she is biking at a constant rate, then you would just have to divide 32 by 2 to get 16, which would be the speed Sydney would ride in the matter of one hour. So for how many hours she bikes, multiplied by 16, would be the distance that she travels in said time.

a park has a 3 meter (m) tall tether ball pole and a 6.8 m tall flagpole. the lengths of their shadows are proportional to their heights. which of the following could be the lengths for the shadows. choose two answers

Answers

Answer:

Step-by-step explanation:

6.8/3 is the scale factor

1.35*(6.8/3)=3.06

1.8*(6.8/3)=4.08

3.75*(6.8/3)=8.5

8.5-8.35=0.15

3.4-3.06=0.34

since C is closer to the right proportion, if there is no option D, it should be the 2 answer you choose

Option B is definetly right, but what about another option, is there an option D?

Here is a number machine. Write down an expression for the output if the imput is n. input=n) (+2) (x3) (output=?

Answers

Answer:

3n+6

Hope this helps you

Answer:

3n+6

Step-by-step explanation:

The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation
A. 10; your car travels for 10 hours.
B. 260 your car travels 260 miles.
C.1/65; your car travels 65 miles every 1 hour.
D.65/1 Your car travels 65 every 1 hour

Answers

Answer:

D

Step-by-step explanation:

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

m=(390-260)/(6-4)

m=130/2

m=65/1

every hour, a car travels 65 miles

D

Answer:

65/1

Step-by-step explanation:

URGENT!!! HELP

Gina has purchased 100 songs from the internet. She plans to download an equal number of songs on her music player each week for 5 weeks. The graph shows the number of songs left to download, y, for a certain number of weeks, x:

(Graph attached below)

Part A: What is the rate of change and initial value of the function represented by the graph, and what do they represent in this scenario? Show your work to find the rate of change and initial value. (6 points)

Part B: Write an equation in slope-intercept form to model the relationship between x and y. (4 points)

Answers

Answer:

Initial value is 100

Step-by-step explanation:

A) rate of change would be dividing the number of songs wanted (100) by the number of weeks downloading (5)

100/5 = 20

 since the total quantity wanted is becoming less every week the rate of change would be negative so it becomes -20

Initial value is 100, which is the total number of songs they want

Answer:

Part A: 

initial value = 100 (total amount of songs to download)

rate of change = -20 songs/week (100-80 and so on)

Part B: 

y = -20x + 100

what is the standard form of 7+3i/2-5i

Answers

Answer:

-1/29+41/29*i

Step-by-step explanation:

(7+3i)/(2-5i)=(7+3i)(2+5i)/(2-5i)(2+5i)=(14+35i+6i+15i^2)/(4-25i^2)=

(14+41i-15)/(4+25)=(-1+41i)/29=-1/29+41/29*i

Help Plz
A small bar of gold measures 20 mm by 100 mm by 2 mm. One cubic millimeter of gold weighs about 0.0005 ounces. Find the volume in cubic millimeters and the weight in ounces of this small bar of gold.


The volume of the bar is ___ cubic millimeters and the weight of the bar is ___ ounce(s).

Answers

Answer:

volume=1,000 cubic millimeters

weight=1 ounce

Step-by-step explanation:

40x25x2=1,000

volume=1,000 cubic millimeters

1,000x0.0005=1

weight=1 ounce

Answer:

Volume = 1000 cubic millimeters

weight = 1 ounce

Step-by-step explanation:

40 x 25 x 2 = 1000

volume= 1000 cubic millimeters

1000 x 0.0005 = 1

weight = 1 ounce

hope it works out !!

brainliest please !!

write a^4*a^2 without exponents

Answers

Answer:

a x a x a x a x a x a

Step-by-step explanation:

a^4 x a^2

a x a x a x a times a x a

= a^6 or a x a x a x a x a x a

Axaxaxaxaxaxaxaxaxaxax
Other Questions
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