What is the equation used to find the nth term of the arithmetic sequence:
-8, -5 -2, 1, 4

Answers

Answer 1

Answer:

        aₙ = 3n - 11

Step-by-step explanation:

The equation of the nth term of the arithmetic sequence is: [tex]a_n =a_1+d(n-1)[/tex]

d = -5 - (-8) = - 5 + 8 = 3

a₁ = -8

Therefore:

               [tex]a_n =-8+3(n-1)\\\\a_n =-8+3n-3\\\\a_n =3n-11[/tex]


Related Questions

Please help me with the answer to these. The second picture goes along with the first

Answers

39 cents that would be the answer for your question hopefully

Ellen has a balance of $15,000 on her car loan and an interest rate of 2.75%. To pay off the $15,000 in five years, Ellen will have to make a minimum payment of $267.87. If Ellen pays $434.57 per month she can pay off her auto loan in 3 years instead. How much more will Ellen pay if she takes 5 years to pay off her loan instead of 3 years?

Answers

Answer:

347$

Step-by-step explanation:

balance of 15000$

loan 2.75%

minimum 267.87

434.57 per month

=347$

how do this math problem?
of shaded region shapes

question 2)
find the area of each shape.
All measurements are in centimetres.

and please explain me to how to do this cuz I don't understand my teacher in maths​

Answers

Answer:

photo isn't clear, first of all u have to click clear picture

Last week at a gym, 120 people participated in a biking class. The number of people who ran on a treadmill
was 150% of the number of people who participated in a biking class. How many people ran
a treadmill at
the gym last week?
people ran on a treadmill at the gym last week.
Show work ~ Aniya v

Answers

Answer:

180

Step-by-step explanation:

This basically means that one and a half of the amount of people that took a biking class ran on the treadmill.

There are two ways to solve

1. [tex]\frac{150*120}{100}[/tex]

2. [tex]120+\frac{120\\}{2}[/tex]

To do the first one:

1. Multiply the values in the numerator

18000/100

2. Divide

180

To do the second one:

1. Divide the fraction

120 + 60

2. Add

180

What is the volume, in cubic in, of a rectangular prism with a height of 11in, a width
of 20in, and a length of 19in?

Answers

Formula for volume is L*W*H so answer is 4180

The volume of the rectangular prism is 4180in^3.

What is rectangular prism?

"A rectangular prism can be defined as a 3-dimensional solid shape which has six faces that are rectangles".

For the given situation,

Length of the rectangular prism = 19 in

Width of the rectangular prism = 20 in

Height of the rectangular prism = 11 in

The formula for volume of the rectangular prism,

[tex]V=l[/tex] × [tex]w[/tex] × [tex]h[/tex]

On substituting the values,

⇒[tex]V= 19[/tex] × [tex]20[/tex] × [tex]11[/tex]

⇒[tex]V=4180[/tex]

Thus the volume of the rectangular prism is [tex]4180 in^{3}[/tex].

Learn more about rectangular prism here

https://brainly.com/question/21812790

#SPJ2

What is
7.5% tax on
a $18
sweater?

19.35 or 1.35

Answers

Answer:

$1.35 will be your answer

Step-by-step explanation:

18 x 0.075 = 1.35

Answer:

[tex]1.35[/tex]

Step-by-step explanation:

7.5% of 18$ is 1.35.

It would make no sense if the tax cost more than the actual item.

If 1 serving of stir fry use 3/5 cup of rice how many cups are in 11 servings?

Answers

Answer:

11 servings include 11(3/5), or 33/5, or 6 3/5, cups of rice.

Step-by-step explanation:

If 1 serving includes 3/5 cup of rice, then multiplying both numerals here by 11 produces a similar statement for 11 servings:

11 servings include 11(3/5), or 33/5, or 6 3/5, cups of rice.

please please help me
(the number in the photo is 20 and then the letter is x)

(also if you can pls go to my profile and answer the question underneath this one)

Answers

Answer:

20°

Step-by-step explanation:

for alternate angles

Answer:

angle x= 20°

I hope it's helps you

A number cube has 6 different faces, numbered 1 to 6. All faces have an equal probability of being rolled. What is the probability of rolling a 5?


please no links or weird pictures!

Answers

Answer:

its a 1/6 chance

Step-by-step explanation:

each face has a 1/6 chance of being rolled since there are 6 faces

Answer:

Answer:

40.2 % to the nearest tenth.

Step-by-step explanation:

Probability( 6 on one roll = 1/6).

Probability (6 on first roll and NOT 6 on the next 5 rolls) = 1/6 * (5/6)^6

= 3125/46656

= 0.06698

Only 1 six rolled can happen in  6 different ways ( where the 6 is on the second, third roll etc.)

So the required probability is 0.06698 * 6 = 0.40188.

Step-by-step explanation:

Found this

What is the value of 4^3

Answers

Answer:

the answer is 64

Step-by-step explanation:

becasue 4 time 4 is 16 and 16 times 4 is 64. You have to multiply 4 against itself 3 times.

Answer:

64

Step-by-step explanation:

4³ = 4 · 4 · 4 = 64

What is the value of z in the equation 3z + 5 = 4z - 2? I NEED THE WORK

Answers

Answer:

z=7

Step-by-step explanation:

3z+5=4z-2

5=4z-2-3z

5=z-2

5+2=z

7=z

z=7

Alyssa has 30 pencils, where 60% of the pencils are sharpened. How many sharpened pencils does Alyssa have?

Answers

Answer:

18 sharpened pencils

Step-by-step explanation:

Total = 30 pencils

100% = 30 pencils

1% = 30 ÷ 100 = 0.30

60% = 0.30 x 60 = 18

Answer:

18 sharpened pencils

Step-by-step explanation:

the percent 3/5 can be multiplied by 6 to give u 18/30


The sum of three consecutive odd integers is 189. What
are the integers?

Answers

Answer:

61, 63, 65

Step-by-step explanation:

n + n+2 + n+4 = 189

3n = 183

n = 61

Answer:

The three consecutive odd integers are 61, 63, and 65

Step-by-step explanation:

Let the three consecutive odd integers be:

n + 1, n + 3 and n + 5

Therefore:

n + 1 + n + 3 + n + 5 = 189

3n + 9 = 189

3n = 180

n = 60

n + 1 = 61

n + 3 = 63

n + 5 = 65

What is the residual of a customer with a height of 155 cm who rents a bike with a 51 cm frame?

cm

Answers

Answer:

Step-by-step explanation:

What is the residual of a customer with a height of 155 cm who rents a bike with a 51 cm frame?

cm

Answer:

Step-by-step explanation:

-1


At an auto repair shop. 3.5 hours of labour costs $311.50. What is the labour
charge for a 5 hour job?

Answers

445 .                       Answer:

Step-by-step explanation:

445 I think ………………………….

Find the volume of the cylinder. Round your answer to the nearest hundredth.

Answers

9514 1404 393

Answer:

  1763.01 m³

Step-by-step explanation:

The height of the cylinder will be ...

  h = (18 m)sin(60°) = 9√3 m

The volume of the cylinder is ...

  V = Bh

where B is the area of the end circle.

  B = πr² = π(6 m)² = 36π m²

Then ...

  V = (36π m²)(9√3 m) ≈ 1763.01 m³

The volume of the cylinder is about 1763.01 m³.

helpppp helping my sister

Answers

Answer:

i wanna say scalene is the first and thrid triangle. The second one is the 5th triangle and the rest go into the last catigorrie

Step-by-step explanation:

b) 1325 + 13 long division​

Answers

Answer:

1325 divided by 13 is 101.92 rounded to the nearest hundredth

Step-by-step explanation:

I'm not sure what the question is asking though.

32 is 4 more than twice a
number. What is the number?

Answers

Answer:

The number you are looking for is 14.

Carl bought a stock for $56. He sold it a week later after its value had dropped below $30. How would you describe the size of Carl's loss

Answers

Answer:

greater than $ 26

Step-by-step explanation:

Price at which the share was bought = $56

The selling price of stock is below $30.

Therefore, the loss of carl would be greater than $56- $ 30 = $26

So, the size of loss of Carl any amount greater than $ 26.

Can you please help me

Answers

Answer:

there is the answer. ❤ hope it helps

Triangle ABC is similar to triangle WYZ.

Determine whether the following statement is true or false.

sin(B)>sin(Y)

True
False

Answers

9514 1404 393

Answer:

  False

Step-by-step explanation:

Corresponding angles in similar triangles are congruent. The similarity statement tells you angle B corresponds to angle Y, so those angles are congruent. The sines of congruent angles are identical.

  sin(B) > sin(Y) . . . . FALSE

  sin(B) = sin(Y) . . . . true

Answer:

The answer is true.

Step-by-step explanation:

Use the function below to find F(2).
F(t) = 2x1/2^3t
ОА. 1/32

O B.1/8

O c.1/16

O
D.1/64

Answers

Answer:

C

Step-by-step explanation:

A trapezoid with a height of 8 ft base measuring 11 ft has an area of 112ft find the length of the other base

Answers

Answer:

1.27272727273 I think

Step-by-step explanation:

can someone please help me asap ill give extra brainly points!!!

Answers

95.20 is the answer

Answer:

94.20 yds

Step-by-step explanation:

C = 2 pi r

     2 pi (15) = 94.20 yds

un refresco tiene una concentración de 3.8 x 10-4 de iones H+. determina el valor de PH de ese refresco​

Answers

Answer:

El pH del refresco es 3.42.

Step-by-step explanation:

Se puede calcular el pH del refresco usando la siguiente fórmula:

[tex]pH = -log([H^{+}])[/tex]

En donde:

[H⁺]: es la cocentración de los iones H⁺ de la solución

Entonces, el pH es:

[tex]pH = -log([H^{+}]) = -log(3.8\cdot 10^{-4}) = 3.42[/tex]

El resutlado obtenido nos permite concluir que ese refresco es ácido.

Por lo tanto, el pH del refresco es 3.42.

Espero que te sea de utilidad!

Usando su fórmula, se encuentra que el valor de PH de ese refresco​ es dado por 3.42.

Cual es la fórmula para el valor de PH?

Es dada por:

[tex]pH = -\log{H^{+}}[/tex]

Onde [tex]H^+[/tex] es la concentración.

En este problema, hay que la concentración es de [tex]H^+ = 3.8 \times 10^{-4}[/tex], por eso:

[tex]pH = -\log{H^{+}}[/tex]

[tex]pH = -\log{3.8 \times 10^{-4}}[/tex]

[tex]pH = 3.42[/tex]

El valor de PH de ese refresco​ es dado por 3.42.

Puede-se aprender mas sobre el valor de PH en https://brainly.com/question/16146414

Can someone please help me with this question
Please check this answer
Please tell me if it’s correct if it’s not please answer it correctly please

Answers

Step-by-step explanation:

Hey,

I'm sorry, this is not correct. For a reflection, all you have to do is count the number of points from that specific point to the line. So, for example, w is 6 units away from the line, in order to draw that, count 6 units and graph. It's pretty hard to explain, but remember the shape is being reflected, so the orientation must change. I suggest searching this up.

Let me know if you have any more questions and I'll be more than glad to help.

- Lena :)

I did my best to fit it all lol, can someone please help? <3

Answers

Answer:

8a. 0 8b. -1/3

Step-by-step explanation:

slope formula: [tex]\frac{y_{2} - y_{1}}{x_{2} - x{1}}[/tex]

8a. => (8 + 12)/(17 - 17) = 20/0 = 0

8b. (1 + 2)/(-3 - 6) = 3/-9 = - 1/3

Answer:

8a: 0 8b: -1/3

Step-by-step explanation:

slope is y2-y1/x2-x1

8a: 8+12/0=0

8b: 1+2/-3-6=3/-9=-1/3

Suppose three moons A, B, and C orbit 100,000 kilometers above the surface of a planet. Suppose m ZABC = 90°, and the planet is 20,000 kilometers in diameter. Draw a diagram of the situation. How far is moon A from moon C?​

Answers

Answer:

Step-by-step explanation:

Please see diagram attached.

Moon A and C are 100,000km + 10,000 = 110,000km from center of planet.

So they are 110,000 + 110,000 = 220,000km apart.

Answer:

Step-by-step explanation:

AC is 220000km according to the drawing:

What is the probability that someone in your class wants the New England Patriots to win

Answers

Answer:

Step-by-step explanation:

It all depends on how many people are in your class.

To calculate probability

Determine a single event with a single outcome.

Identify the total number of outcomes that can occur.

Divide the number of events by the number of possible outcomes.

To determine the probability, Use the formula

What is the formula of probability?

P(A) is the probability of an event “A” n(A) is the number of favourable outcomes. n(S) is the total number of events in the sample space.

P(A | B) = P(A∩B) / P(B)

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