Find the 75th term of the following arithmetic sequence.
12, 21, 30, 39,

Answers

Answer 1

9514 1404 393

Answer:

  678

Step-by-step explanation:

The sequence has a first term of 12 and a common difference of 21-12 = 9. The explicit formula for the n-th term is ...

  an = a1 +d(n -1)

For a1 = 12 and d = 9, this is ...

  an = 12 + 9(n -1)

Using 75 for the value of n, we have ...

  a75 = 12 + 9(75 -1) = 12 + 666 = 678

The 75th term is 678.


Related Questions

answer this question plzzzzz

Answers

Answer:

This is my best solution for your question

Step-by-step explanation:

radius=10cm

<A0B=90°

Length of arc AB,

[tex] 10 \times \frac{\pi}{2 } = 5 \times 3.14 = 15.4cm[/tex]

[tex]perimeter \: of \: quadrant = \: 10 + 10 + 15.4 = 35.4cm[/tex]

Area of quadrant=

[tex] \frac{90}{360 } \times 3.14 \times {10 }^{2} = 78.5cm ^{2} [/tex]

!!!! PLEASEEE HELP ME, IDK WHAT TO DO PLEASE !!!!
Express cos in terms of sin.
A. ±√(1 - sin²θ)
B. 1 + sin²θ
C. sin²θ - 1
-----------------
Simplify 1/2 (-sin^2 x - cos^2 x).
A. -1 1/2
B. -1/2
C. 1/2
-----------------
Simplify tan^2 x + 1/cot^2 x + 1
A. 1/sinx
B. tanx
C. cotx

Answers

Answer:

  The first question is A.

  The second question is C.

   The thid question is B., I think i'm not quit sure sorry

PLEASE HURRY
What is the gross earnings for a person who has $30,000 in total sales, $2250 in Returns and Allowances, and a rate of commission of 6%?

Answers

Answer:

$1800

Step-by-step explanation:

$30000x.06=1800

Answer:

I believe the answer is 1,800

Step-by-step explanation:

I could be wrong but hope this helps :)

Factor out the coefficient of the variable.
3.4c+10.2

Answers

Answer:

1.7(2c+6)

Step-by-step explanation:

Which statement best describes how the media influence policy development?
The media keep lawmakers informed of what is happening in government.
VThe media inform the public, who can then give their opinions to policymakers.
NThe media present opinions and ideas that inspire policymal kers
The media make it easier for government offcials to com
hone another.
M O

Answers

The media keep lawmakers informed of what is happening in government this is a check and balance one check the other for things to be solved

Answer:

its A on edge 2021

Step-by-step explanation:

your welcome :)

Find the value
of
(3x + 3y)^2
If xy = =-2 and x^2+y^2=5​

Answers

Step-by-step explanation:

9x^2 + 9y^2 + 18xy

9(5)+18(-2)

45-36

9

Shareen walked a total of 9.52 miles in a walk-a thon. If her average speed was 2.8 miles per hour, how long did it take Shareen to complete the walk?

Answers

Answer:

t = 3.4 hour

Step-by-step explanation:

Distance to be covered by Shareen, d = 9.52 miles

The average speed of Shareen, v = 2.8 mph

We need to find the time taken by Shareen to complete the walk.

The formula for average speed,

v = distance/time

[tex]t=\dfrac{d}{v}\\\\t=\dfrac{9.52}{2.8}\\\\t=3.4\ \text{hour}[/tex]

Hence, it will take 3.4 hour to complete the walk.

y = 1/6x + 8

Identify the y intercept?

Answers

Answer:

(0,8)

Step-by-step explanation:

The y intercept it's eight

WILL GIVE BRAINLEIST HELP ASAP

Answers

Answer:

x = 12

y = 9

Step-by-step explanation:

[tex]\triangle ACD \cong \triangle BCD.. (given) \\\\

\therefore AC \cong BC\\\\

\therefore m(AC) = m(BC) \\\\

\therefore 2x = x + 12\\\\

\therefore 2x - x = 12\\\\

\therefore x = 12\\\\

Similarly \\\\

BD \cong AD\\\\

\therefore m(BD) = m(BD) \\\\

2y - 4= y + 5\\\\

2y - y = 4 +5\\\\

y = 9

[/tex]

which ordered pair lies on the graph of the function y= -2x +1

Answers

Note: You did not mention the ordered pair choices. So, I am letting you clear your concept about taking some sample ordered pairs which anyways would clear your concept.

Answer:

The ordered pairs (1/2, 0) and (0, 1) are on the graph.

The graph is also attached.

Step-by-step explanation:

Given the function

[tex]y= -2x +1[/tex]

Any ordered pair which may satisfy the equation would lie on the graph.

Let us determine the x and y-intercepts.

Determining the x-intercept

We know that the x-intercept can be determined by setting y=0, and the solving for x. so

[tex]y= -2x +1[/tex]

0 = -2x+1

-2x = -1

Divide both sides by -2

x = 1/2

Thus, the x-intercept is (1/2, 0)

Determining the y-intercept

We know that the y-intercept can be determined by setting x=0, and the solving for y. so

[tex]y= -2x +1[/tex]

y = -2(0)+1

y = 1

Thus, the x-intercept is (0, 1)

Thus, the ordered pairs (1/2, 0) and (0, 1) are on the graph.

The graph is also attached.

The ordered pairs (1/2, 0) and (0, 1) are on the graph.

Let us plug x = 0.

So,

[tex]y=-2x+1\\y=-2(0)+1\\y=1[/tex]

So the point is (0, 1).

Let us plug x = 1/2.

So,

[tex]y=-2x+1\\y=-2\left(\frac{1}{2}\right)+1\\y=-1+1\\y=0[/tex]

So the point is (1/2, 0).

Learn more about ordered pairs: https://brainly.com/question/1528681

Emma wants to build a fence around the perimeter of her lawn. Each foot of fence costs $2. The rectangular lawn has an area of 364 square feet and a width of 14 feet. How much will the entire fence cost?

Answers

Answer:

[tex]\$160[/tex]

Step-by-step explanation:

To find the cost of the entire fence, we need to first determine the lawn's length before calculating its perimeter.

Area of rectangular lawn = [tex]lw[/tex] (formula for the area of a rectangle)

[tex]364=14l[/tex]

[tex]l=26[/tex] feet

Now that we have the lawn's length and width, we can calculate the perimeter:

Perimeter [tex]= 2l+2w[/tex] (formula for the perimeter of a rectangle)

[tex]=2(26)+2(14)[/tex]

[tex]=80[/tex] feet

Since each foot of lawn costs $2, then the cost of the entire fence will be:

[tex]80\times2 = \$160[/tex]

∴ The entire fence costs [tex]\$160[/tex].

Hope this helps :)

determine the truth values of p, q, and r that would make the statement false. Explain your reasoning. p→(q∨~r)   ​

Answers

Answers:p = trueq = falser = true

======================================

Explanation:

For a conditional to be false, the antecedent must be true and the conclusion must be false. So the format is (true) --> (false) for the overall conditional to be false.

Since the antecedent must be true, this means p = true. We can shorten this to say p = T, where T stands for "true".

Now we must make (q v ~r) be false.

This is only possible if both pieces q and ~r are false. An "or" statement, aka disjunction, is true if either piece is true; otherwise it's false.

So q = F, where F stands for "false" and ~r = F as well.

If ~r = F, then r = T. Recall the squiggly line or tilde is basically the negation operator. It does the opposite of the statement.

Please help, find the exterior angles of the two polygon.

Answers

Answer:

6) 106 degrees

7) each 'x' angles measures 118 degrees

Step-by-step explanation:

The sum of the measures of all exterior angles is always 360 degrees.

What’s 4/5 of 3 And what’s 2/9 of 20

Answers

Answer:

4/5 of 3 = 12/5

2/9 of 20 = 40/9

Step-by-step explanation:

Answer:

1.  2.4

2. 4.444

Step-by-step explanation:

First, let's look at 4/5 of 3. We can set it up like this:

[tex]3 * \frac{4}{5}[/tex]

Next, multiply the 3 by the 4 to get this:

[tex]\frac{12}{5}[/tex]

Then, if a calculator is permitted, we get the answer of 2.4.

The next thing to do would be to repeat the steps for 2/9 of 20.

[tex]20 * \frac{2}{9}[/tex]

[tex]\frac{40}{9} = 4.444[/tex]

Hope this helps!!

- Kay :)

4 glasses of milk and 2 snack bars have a total of 86 carbohydrates​ (carbs), and
2 glasses of milk and 3 snack bars have a total of 69 carbs. Determine how many carbs are in one glass of milk and in one snack bar.

Answers

Answer:

There are 15 carbs in one glass of milk and 13 carbs in one snack bar.

Step-by-step explanation:

Let m be the number of carbohydrates in one glass of milk and

Let s be the number of carbohydrates in one snack bar

Then according to given information

The system of equations will be:

[tex]4m+2s = 86\\2m+3s = 69[/tex]

Multiplying equation 2 by 2 and subtracting from equation 1

[tex]2(2m+3s) = 69*2\\4m+6s = 138[/tex]

Subtracting from equation 1

[tex]4m+2s-(4m+6s) = 86-138\\4m+2s-4m-6s = -52\\-4s = -52\\\frac{-4s}{-4} = \frac{-52}{-4}\\s = 13[/tex]

Putting s=13 in equation 1

[tex]4m+2(13) =86\\4m+26 = 86\\4m = 86-26\\4m = 60\\\frac{4m}{4} = \frac{60}{4}\\m = 15[/tex]

Hence,

There are 15 carbs in one glass of milk and 13 carbs in one snack bar.

Write an equation for the line perpendicular to 4x - 12y = 2 and passing through point (10, -1)

Answers

Answer:

3x+y=-31

Step-by-step explanation:

[tex]4x - 12y = 2\\12y = 4x-2\\y=\frac{x}{3}-\frac{1}{6}[/tex]

Slope of perpendicular line is -3.

[tex]y=-3x+b[/tex]

Sub in the point (10, -1)

[tex]-1=-3(10)+b\\-1=30+b\\b=-31\\y=-3x-31\\3x+y=-31[/tex]

Sue can read 2 books in 2.5 hours while John reads 3 books in 5 hours. Compare the rates at which each child reads. Who can read faster? How do you know?

Answers

The answer I sue also plz give brainliest answer

An office supply company conducted a survey before marketing a new paper shredder designed for home use. In the survey, 80% of people used the shredder were satisfied with it. Because of the high acceptance rate, the company decided to make the new shredder. Assume that 80% of all people who use it will be satisfied. On a certain day 7 customers bought the shredder.
Let x denote the number of customers in this sample of 7 who will be satisfied with this shredder. Using the binomial probabilities table, obtain the probability distribution of x and fill in the table
x 0 1 2 3 4 5 6 7
p(x)(for each number)

Answers

Answer:

Probability distribution of x

Step-by-step explanation:

Binomial Probability = N c x . (P)^x . (Q)^ n-x

N = Total trials, 7 customers here ; P = Prob of success, 0.80 satisfied here ;    x = No. of success (1....7) ; Q = Prob of fail, 0.20 not satisfied here

P (x = 1) = 7c1 (0.80)^1 (0.20)^7  = 0.00035

P (x = 2) = 7c2 (0.80)^2 (0.20)^6 = 0.0043

P (x = 3) = 7c3 (0.80)^3 (0.20)^5 = 0.0286

P (x = 4) = 7c4 (0.80)^4 (0.20)^4 = 0.1146

P (x = 5) = 7c5 (0.80)^5 (0.20)^3 = 0.2752

P (x = 6) = 7c6 (0.80)^6 (0.20)^2 = 0.3670

P (x = 7) = 7c7 (0.80)^7 (0.20)^1 = 0.2097

2x-20 solve for x in an equilateral triangle

Answers

Answer:

x=40

Step-by-step explanation:

triangle = 180 degrees

Equilateral so 3(2x-20) = 180

6x-60=180

6x=240

x=40

Hope this helps!

Please hit the crown!

Merry Christmas!x

Does anyone know the answer to this problem. If so please help.

Answers

It’s the 2nd option because both B and E intersect

In the figure, angle K measures 45°. What is the measurement of angle C? A. 38° B. 45° C. 90° D. 98°

Answers

Answer:

B. 45°

Step-by-step explanation:

C = 90° - J as CGJ is right triangleJ = 90° - K = 90° - 45° = 45° as AKJ is right triangleC = 90° - 45° = 45°

Option B is correct

Answer:

45°

Step-by-step explanation:

Help me please what should I do

Answers

Answer:

It’s either 1 or 2

Step-by-step explanation:

Answer:

Mp=QN

Step-by-step explanation:

Solve for the value of w.
(8w+6)"

Answers

2(4+3)

hope it helps ;)

-15.8= y-24.3 please solve and get back quickly

Answers

Answer:

Y=17/2=8.500

I just took a test with this question

c. 3 bananas cost $0.99. At this rate, how much do 5 bananas cost? Explain how you know.

Answers

The answer is $1.65

Answer:

$1.65

Step-by-step explanation:

You can get the cost of each banana by using the division operation. All you have to do is to divide $0.99 by 3.

0.99 ÷ 3 = $0.33

Each banana costs $0.33

Now that you know the cost of each banana, you may now get the cost of 5 bananas by using the multiplication operation. All you have to do is to multiply $0.33 by 5.

0.33 x 5 = $1.65

Therefore, 5 bananas cost $1.65.

can you help me please ​

Answers

Answer:

The answers are:

2u = <10,2>-3u = <-18,-6>u+v = <11,3>3u-4v = <-9,-5>

Step-by-step explanation:

Given vectors are:

u = <5,1>

v = <6,2>

The vectors are given in the form of ordered pairs, the operations can be applied on the coordinates of ordered pairs

Now,

[tex]2u = 2(5,1) = (10,2)[/tex]

[tex]-3v = -3(6,2) = (-18,-6)[/tex]

Now we have to add two vectors

In order to add two vectors, their respective coordinates are added:

So,

[tex]u+v = (5,1) + (6,2)\\= (5+6, 1+2)\\=(11,3)[/tex]

And

[tex]3u-4v = 3(5,1) - 4(6,2)\\= (15,3) - (24,8)\\= (15-24, 3-8)\\=(-9, -5)[/tex]

Hence,

The answers are:

2u = <10,2>-3u = <-18,-6>u+v = <11,3>3u-4v = <-9,-5>

32/8 = 28/x

Please select the best answer from the choices provided

A: x = 4
B: x = 28
C: x = 8
D: x = 7

Answers

32/8=28/x

we multiply by x

x*32/8=28

we multiply by 8/32

x=28*8/32

8 divides by 32

x=28/4=7

D: x = 7

Answer:

D

Step-by-step explanation:

Given

[tex]\frac{32}{8}[/tex] = [tex]\frac{28}{x}[/tex] ( cross- multiply )

32x = 224 ( divide both sides by 32 )

x = 7 → D

PLS HELP will give brainliest answer both

Answers

Answer:

8 3/5

false

Step-by-step explanation:

6th grade math ok thanks

Answers

192.78

Hope this helps!

✧◝(⁰▿⁰)◜✧

Answer:

192.78

Step-by-step explanation:

0.34 X 567 = 192.78

The relationship between the number of calories Hannah burns while working out can be represented by y = 12x, where x is the number of minutes and y is the number of calories burned. Which of the following could be the graph of this situation?

Answers

Answer: i canot make a graph but i will do how many caloris were burned ever minute

Step-by-step explanation:

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