Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.
A(n) = 5 + (n - 1) 1/6

Answers

Answer 1

Answer:

A(1) = 5

A(4) = 5.5

A(10) = 6.5

Step-by-step explanation:

An nth term formula works, whether for a arithmetic or geometric sequence, can be used to find any term in a sequence;

Simply substitute the number that corresponds with the position of the term you want to find and the formula will give the value of that term;

So:

A(1) = 5 + ⅙((1) - 1) = 5

A(4) = 5 + ⅙((4) - 1) = 5.5

A(10) = 5 + ⅙((10) - 1) = 6.5


Related Questions

Find the area of the shape shown below.

Answers

Answer:

28

Step-by-step explanation:

NO LINKS AND NO WEBSITES I really need help with this, and also if it's Substitution or linear combination.​

x = -2
3x + y = 8​

Answers

Step: Solve x = −2 for x:

x = −2

Step: Substitute −2 for x in 3x + y = 8:

3x+y=8

(3)(−2)+y=8

y−6=8(Simplify both sides of the equation)

y−6=8 (Add 6 to both sides)
+6 +6

y = 14

Answer:
x = −2
and
y = 14

2x - y = 1
3x + y = 9

Answers

Answer:s

Step-by-step explanation:

Answer:

x=2  y=3

Step-by-step explanation:

Find the value of x and then identify the measure of each of the angles.

Answers

Answer:

x = 21

Upper angle has a measure of 69°

Lower angle has a measure of 21°

Step-by-step explanation:

The two angles form a right angle ( indicated by the little square )

A right angle has a measure of 90 degrees.

This means that (x + 48) + x must equal 90

Note that we've just created an equation that we can use to solve for x

We now solve for x using that equation

x + 48 + x = 90

combine like terms

2x + 48 = 90

subtract 48 from both sides

2x = 42

divide both sides by 2

x = 21

We then plug in x to find the measures of the angles

x + 48

x = 21

21 + 48

= 69

The other angle simply equals 21°

Answer:

x = 21°

(x + 48°) = 69=

Step-by-step explanation:

x + 48° + x = 90°

2x +48° = 90° Subtract 48° in both sides

2x = 42° Divide both sides by 2:

x = 21°

The gas tank of priya pontoon boat can hold 5 gallons it is completely empty Oriya needs a full tank for the days activities she adds 2 1/4 gallons from a gas canister and then takes the boat to a nearby marina to fill it up. She has to pay ahead. Oriya wants the tank as full as possible but does not want to overpay. How many gallons should Oriya ask for?

Answers

1638595973726949577273

estimate the area hurry.​

Answers

Answer:

32.5 and 30

Step-by-step explanation:

I counted the unit squares one by one.

Hope this helped! :)

5. Find mTOS in the figure below.

Answers

Applying the definition of a linear pair, m∠TOS = 52°

Recall:

Linear pair are two angles on a straight line whose sum equals 180°.

Given:

m∠TOU = 128°m∠SOV = (4x + 8)°

m∠TOU + m∠TOS = 180° (linear pair)

Substitute

128° + m∠TOS =  180°

Subtract 128° from both sides of the equation

m∠TOS = 180° - 128°

m∠TOS = 52°

Thus, applying the definition of linear pair, m∠TOS = 52°

Learn more about linear pair on:

https://brainly.com/question/3768841

In a snail race, the winning snail traveled 5.85 cm in 3/4 of a minute. How fast was the snail traveling per second?

Answers

Answer:

0.13 cm per second

Step-by-step explanation:

Lets convert the minutes to seconds:

3/4 minutes = 3/4(60) = 45 seconds

The snail traveled 5.85 cm in 45 seconds

To find out the speed per second, we set up a proportion:

[tex]\frac{5.85}{45} = \frac{x}{1}[/tex]      where 45 and 1 represent the number of seconds, and 5.85 and x represent the distance in that set of time

Let's solve for x, or the distance in 1 second:

[tex]\frac{5.85}{45}=\frac{x}{1}\\\\\\\frac{5.85*1}{45x}\\\\\\x = \frac{5.85}{45}\\\\\\\\\\x = 0.13[/tex]

The snail travels 0.13 cm per second.

-Chetan K

ABCD is a rectangle AB =15 centimeters AC = 25 cm Find The length of BC ​

Answers

Answer:

the answer is explained below (tap on the photo to view it fully)

0.326
In stranded form pleasee

Answers

Answer:

0.326

The dot is going to move to the right which is going to be in between 3 and 2.

Then the answer will be 3.26 ×10^-1

Answer:

3.26 × 10-1 or

[tex] \frac{163}{500} [/tex]

I didnt know which one u needed

2(4w+7)=62

Whats the answer how do I do it?

Answers

[tex]2(4w + 7) = 62[/tex]

Divide both sides by 2

[tex] \frac{2(4w + 7)}{2} = \frac{62}{2} \\ [/tex]

[tex]4w + 7 = 31[/tex]

Subtract both sides 7

[tex]4w + 7 - 7 = 31 - 7[/tex]

[tex]4w = 24[/tex]

Divide both sides by 4

[tex] \frac{4w}{4} = \frac{24}{4} \\ [/tex]

[tex]w = 6[/tex]

Answer:

w=6

Step-by-step explanation:

Step 1 : Simplifying

2(4w + 7) = 62

Step 2 : Recorder the terms :

2(7 + 4w) = 62

(7 * 2 + 4w * 2) = 62

(14 + 8w) = 62

Solving-

14 + 8w = 62

Solving for the variable 'w'

Move all terms containing w to the left side, all other terms to the right.

Add '- 14' to each side of the equation.

14 + - 14 + 8w = 62 + - 14

Combine like terms: 14 + - 14 = 0

0 + 8w = 62 + - 14

Combine like terms: 62 + - 14 = 48

8w = 48

Divide each side by '8'

W = 6

Simplifying

W = 6

Write an expression that represents the perimeter of he rectangle

Answers

2(4x-6) + 2(3x+4) is the expression used to represent the perimeter

Answer:

Since the sides across from each other are congruent, you can times them by two

2(4x-6)+2(3x+4)

Mrs. Clark's plant is 4 3/4 inches tall. It is 1 7/8 inches taller than Jimmy's plant.

How tall is Jimmy's plant?

Answers

Answer: 6 5/8 inches tall

Explanation: Change 4 3/4 into 4 6/8. 4+1 = 5 and 6/8 + 7/8 =1 5/8. 1 5/8 + 5 = 6 5/8 inches tall.

Hope this helps!

There are 3 times as many books in the town library as there are in the school library. The town library has 2,676 books.

How many books are in the school library?

Answers

Answer: First we know the Town Library has 3 times as many books as there are in the School Library. The Town Library has 2,676 books.

Divide 2,676 by 3. 2676÷3= 892

So your answer is: 892 books.

Hope I helped. :)

The number of books in the library will be 892.


What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that there are 3 times as many books in the town library as there are in the school library. The town library has 2,676 books.

The number of books will be calculated as,

Number = 2676 / 3

Number = 892

Hence, the number of books will be 892.

To know more about an expression follow

https://brainly.com/question/27999047

#SPJ2

A pink paint mixture uses 3 cups of white paint for every 6 cups of red paint.
The table show different quantities of red and white paint for the same shade
of pink. Complete the table.




PLS HURRY

Answers

Answer:

1/2 white paint for 1 red paint

3/2 white paint for 3 red paints

12 red paint for 6 white paints

Step-by-step explanation:

I used the ratio form

Soln: 6 red paints : 3 white paint = 1 red paint : x

6/3 × 1/x

So we will cross multiply

6x/6 × 3/6

x = 1/2

Boris has 10 pairs of jeans, 15 T-shirts, and 7 sweaters in his closet. Write the ratio of sweaters to pairs of jeans using a colon.

Brainliest to a person who gets it right.

Answers

Answer: 7:10

Step-by-step explanation: You are asked to find the ratio of sweaters to pairs of jeans. All you do is write the 7 sweaters and the 10 pairs of jeans. And you get a ratio of 7:10. Since this cannot be reduced any further, you just leave it as it is.

Hope this helps.

20 points.

The midpoint of AB is (-1, 5) and the coordinates of point A are (-3, 2) what are the coordinates of point B? ​

Answers

Answer:

B (1, 8 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

with (x₁, y₁ ) = A (- 3, 2 ) and (x₂, y₂ ) = B (x, y )

Calculate the midpoint values and equate to the corresponding coordinates of the given midpoint (- 1, 5 ) , that is

[tex]\frac{-3+x}{2}[/tex] = - 1 ( multiply both sides by 2 )

- 3 + x = - 2 ( add 3 to both sides )

x = 1

[tex]\frac{2+y}{2}[/tex] = 5 ( multiply both sides by 2 )

2 + y = 10 ( subtract 2 from both sides )

y = 8

Then point B = (1, 8 )

What is an expression for five less than y

Answers

Answer:

y - 5

Step-by-step explanation:

Answer:

y - 5

Step-by-step explanation:

To translate statements into expressions, we have to look for key terms. In this case, one key term is "five less." Five less means to subtract 5 from a certain quantity. When it says "five less than y," we're taking five away from y. In numerical form, it can be written as: y - 5.

Therefore, the expression is y - 5.

How do u slove this for y intercept?


(4, 1); slope=3/2

Answers

Answer:

y-intercept=-5

Step-by-step explanation:

y=mx+b  m/slope=3/2 the point is (x,y)/(4,1)

1=3/2(4)+b

1=12/2+b

1=6+b

-6-6

-5=b

can someone help me answer this​

Answers

[tex]32^{-\tfrac 25}\\\\=(2^5)^{-\tfrac 25}\\\\=2^{-2}\\\\=\dfrac 1{2^2}\\\\=\dfrac 14[/tex]

ok done. Thank to me :>

Mr. Smith collected 200 eggs from his chickens on Saturday. When he sorted the eggs by their sizes, he found out tha 60% of the eggs are extra-large. How many extra-large eggs did Mr. Smith collect from his chickens? need help ASAP pls

Answers

Answer: 120

Step-by-step explanation:

HELPP

There are 17 boys and 15 girls in a math class. The teacher is selecting 5 students to represent the school on the student advisory council.

Determine the probability, to the nearest hundredth, that exactly 3 boys will be selected.

Answers

Answer
A small class has five boys and six girls. A group of four students are to be selected at random to interview a new school director. a) Find the probability that the group contains at least one boy. b) Find the probability that the majority of the group is girls. c) Given that the group contains at least one boy, what is the chance that the boys are in the majority?

What is 0.02349 written in standard form to 3 significant figures

Answers

[tex] \: \: [/tex]

b. 2.34 × 10 ^-2

0.0234 written as scientific notation is 2.349 × 10-2.

hope it helps

Answer:

b. 2.34 x 10 ^-2

Step-by-step explanation:

0.0234 written as scientific notation is 2.349 x 10-2

Can someone help me :

Answers

E is the answer I am pretty sure.

How does a domain restriction placed on a non-invertible function affect its inverse? Drag a function or an interval into each box to correctly complete the statement. When the domain of the non-invertible function f(x)=(x+1)^2−3 is [−1,∞), the inverse of the function is Response area, and the domain of the inverse function is

Answers

Using inverse function concepts, it is found that:

The inverse of the function is [tex]y = \sqrt{x + 3} - 1[/tex], and the domain of the inverse function is [tex][-3, \infty][/tex].

A function will have an inverse if for each output, there is only one respective input.The domain of the inverse is the range of the original function.

The function given is:

[tex]f(x) = (x + 1)^2 - 3[/tex]

It's range is [tex][-3, \infty][/tex], which will be the domain of the inverse.

To find the inverse, we exchange x and y, and isolate y, then:

[tex]y = (x + 1)^2 - 3[/tex]

[tex]x = (y + 1)^2 - 3[/tex]

[tex](y + 1)^2 = x + 3[/tex]

[tex]\sqrt{(y + 1)^2} = \sqrt{x + 3}[/tex]

[tex]y + 1 = \sqrt{x + 3}[/tex]

[tex]y = \sqrt{x + 3} - 1[/tex]

The inverse of the function is [tex]y = \sqrt{x + 3} - 1[/tex], and the domain of the inverse function is [tex][-3, \infty][/tex].

A similar problem is given at https://brainly.com/question/13160937

Answer:

Step-by-step explanation:

What is Decrease 20g by 10% please?

Answers

Answer:

18

Step-by-step explanation:

the vertex angle of isosceles triangle is 110 degrees. what are the measures of the base angles

Answers

Answer:

35°

Step-by-step explanation:

The base angles of an isosceles triangle are congruent , then

base angles = [tex]\frac{180-110}{2}[/tex] = [tex]\frac{70}{2}[/tex] = 35°

Arman weighs 35 kg. Rosie weighs 3 times as much. How many GRAMS does Rosie weigh?

Answers

Answer: 105k

Step-by-step explanation:

1. Multiply the number by three (35kg x 3)

2. Use your answer (105kg) and convert it to grams

3. GET YOUR ANSWER = 105k Grams

4. Therefore, Rosie weighs 105k grams

You rent an apartment that costs
$
800
$800 per month during the first year, but the rent is set to go up 12.5% per year. What would be the rent of the apartment during the 10th year of living in the apartment? Round to the nearest tenth (if necessary).

Answers

Answer:

2,309.2

This could be wrong but I'm pretty sure it's right

Mr. Smith had $50. He found a $5 bill. What is the percent of change in his money?
Please show in step by step how to solve

Answers

Answer:

10%

Step-by-step explanation:

a simple way to put it is 50 * 2 is 100, 5 * 2 is 10, so 10/100 is 10%

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