Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (Assume that n begins with 1.)
{1, 7, 13, 19, 25, . . . }

I'm going to assume the "x" goes after "-1/3"

f(-3) = -1/3(-3) + 13

f(-3) = 1 + 13

f(-3) = 14

Best of Luck!

Answer:

I think its 43.98 or 44 I think its one of those

Step-by-step explanation:

C=2πr=2·π·7≈43.9823

=2π(7)=2⋅722⋅7=2⋅22=44 cm.

Answer:

Solving gives us the result, x = 2, y = -1

Step-by-step explanation:

The system of equations is,

y = 2x-5

y=-2x+3

equating the two equations, we get,

(since y = y)

\(2x-5 = -2x + 3\\4x -5 = 3\\4x = 3+5\\4x=8\\x=8/4\\x=2\)

and then since y = 2x-5

\(y=2(2)-5\\y=-1\)

so, x =2, y = -1

Answer:

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Sum of Inner angles of a triangle = 180

59 + 48 + a = 180

107 + a = 180

a = 73

y = 73 * 2 = 146 degrees

Answer:

The company charged $500 for its services,and Mia gives the movers a 16% tip. Now, we can add the tip amount to the cost of the service to find the total amount Mia paid: Total amount = Cost of service + Tip amount = $500 + $80 = $580

Step-by-step explanation:

Answer: Andre should buy Car 2. Brainliest?

Step-by-step explanation:

To compare the gas mileage of the two cars, we need to find out how many miles each car can travel per gallon of gas.

For Car 1: y = 25x

This means that for every gallon of gas used (x), the car can travel 25 times that amount in miles (y). So, the gas mileage for Car 1 is 25 miles per gallon (mpg).

For Car 2: we can calculate the miles per gallon by dividing the total miles traveled by the number of gallons of gas used:

For 2 gallons of gas, the car can travel 60 miles. So, the gas mileage is 30 mpg (60 miles ÷ 2 gallons).

For 5 gallons of gas, the car can travel 150 miles. So, the gas mileage is 30 mpg (150 miles ÷ 5 gallons).

For 7 gallons of gas, the car can travel 210 miles. So, the gas mileage is 30 mpg (210 miles ÷ 7 gallons).

For 8 gallons of gas, the car can travel 240 miles. So, the gas mileage is 30 mpg (240 miles ÷ 8 gallons).

For 11 gallons of gas, the car can travel 330 miles. So, the gas mileage is 30 mpg (330 miles ÷ 11 gallons).

Therefore, Car 2 has a consistent gas mileage of 30 mpg.

From the above calculations, we can see that Car 2 has a better gas mileage compared to Car 1. Car 2 can travel 30 miles on a gallon of gas, while Car 1 can only travel 25 miles on a gallon of gas.

Therefore, Andre should buy Car 2 if he wants to get the best gas mileage. Car 2 can travel 5 more miles per gallon than Car 1.

Answer:

0.6

Step-by-step explanation:

2/5 divided by 2/3

use reciprocal method

and make it 2/5*3/2

6/10

Answer:

A

Step-by-step explanation:

sqrt 5 ( 4pi - 2pi) =   2 pi sqrt 5  for the numerator

then     2 pi sqrt (5)  / 3 sqrt (5)      the sqrt (5) 's cancel out and you have

          2pi / 3

Answer: 48 more monthly payments

Step-by-step explanation:

Answer:

\(Probability = \frac{12}{35}\)

Step-by-step explanation:

Given

Represent Defective Bulbs with D and non good bulbs with G

\(D = 3\)

\(G = 12\)

The probability that one is defective and the other is not can be represented with: (D and G) or (G and D)

Which means that the defective is selected first, then the good one or the good one is selected first, then the defective one.

This is then calculated as:

\(Probability = \frac{n(D}{Total} * \frac{n(G)}{Total - 1} + \frac{n(G}{Total} * \frac{n(D)}{Total - 1}\)

We used Total - 1 on second selections because it is a probability without replacement

\(Probability = \frac{3}{15} * \frac{12}{15- 1} + \frac{12}{15} * \frac{3}{15- 1}\)

\(Probability = \frac{3}{15} * \frac{12}{14} + \frac{12}{15} * \frac{3}{14}\)

\(Probability = \frac{1}{5} * \frac{6}{7} + \frac{2}{5} * \frac{3}{7}\)

\(Probability = \frac{6}{35} + \frac{6}{35}\)

\(Probability = \frac{12}{35}\)

The sentence which show correct verb tense usage is The overall outlook is favorable.

Verbs are a necessary component of communication in every language, including English, without which it would be difficult to convey what the subject is doing. All acts, including those motivated by sentiments and emotions, are included.

Verbs exist in a variety of forms and kinds so they can function in many ways to convey the whole meaning. Let's have a look at how different dictionaries define the word "verb" before we examine the many kinds of verbs and their forms.

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Answer:

Step-by-step explanation:

To linearize the function cos^5(x), we can use the following identity:

cos^5(x) = (cos^2(x))^2 * cos(x) = (1 - sin^2(x))^2 * cos(x)

Now, we can use the identity e^(ix) = cos(x) + i sin(x) to rewrite the expression as follows:

(1 - sin^2(x))^2 * cos(x) = ((1 - e^(ix) * e^(-ix))/2)^2 * (e^(ix) + e^(-ix))/2

= (1/16) * (e^(4ix) - 4e^(2ix) + 6 - 4e^(-2ix) + e^(-4ix))

This expression is now linear in terms of e^(ix) and e^(-ix). Therefore, we have linearized the function cos^5(x) as:

(1/16) * (e^(4ix) - 4e^(2ix) + 6 - 4e^(-2ix) + e^(-4ix))

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.

The total number of periods is given as follows:

5 + 6 + 4 = 15.

The frequency of each class is given as follows:

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the car is approximately 22.4 meters away from the tower.

What is Trigonometric Functions?

Trigonometry uses six fundamental trigonometric operations. Trigonometric ratios describe these operations. The sine function, cosine function, secant function, co-secant function, tangent function, and co-tangent function are the six fundamental trigonometric functions. The ratio of sides of a right-angled triangle is the basis for trigonometric functions and identities. Using trigonometric formulas, the sine, cosine, tangent, secant, and cotangent values are calculated for the perpendicular side, hypotenuse, and base of a right triangle.

we can write:

tan(55 degrees) = 32 / d

To solve for "d", we can rearrange the equation:

d = 32 / tan(55 degrees)

Using a calculator, we can evaluate the tangent of 55 degrees:

tan(55 degrees) = 1.428

d = 22.4 meters

Therefore, the car is approximately 22.4 meters away from the tower.

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Answer:

m=4/3

b=-3

Step-by-step explanation:

3y=4x-9

3÷3

4÷3

-9÷3

y=4/3x-3

The distribution is skewed to the left.

A dot plot is a graph that is made up of dots and a number line. The dots in the dot plot represent the frequency of the data. The greater the frequency of a data, the greater the number of dots.

For example if a the number 5 has 10 dots above it, it means that 5 has a frequency of 10.

The given dot plot is skewed to the left because the number of dots on the left is greater than the number of dots on the right.

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The value of x is (-∞, -5) ∪ (1, ∞).

Given is a polynomial, \(x^4+2x^3-12x^2+14x-5 > 0\),

Solving for x,

Factors =

\(x^4+2x^3-12x^2+14x-5\\ \\= \quad \left(x-1\right)^3\left(x+5\right)\)

Therefore,

\(\left(x-1\right)^3\left(x+5\right) > 0\)

\(x < -5\quad \mathrm{or}\quad \:x > 1\)

Hence the value of x is (-∞, -5) ∪ (1, ∞).

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Answer:

This is my answer,

Step-by-step explanation:

The equation is y=2x, and the horizontal line will always be half of the vertical line (1:2). We can prove this by plugging in y or x. For example, if y is 12, 12=2x. X would equal six.

Answer:

5x − k = 100

\(x=\frac{100-k}{5} \\\)

Step-by-step explanation:

The amount she spends on lunch is x = (100 + k) /5.

Given: Janet spent $100 on books.

This was k dollars less than five times what she spent on lunch.

We can construct an equation from it :

5x-k = 100

Thus , x = (100 + k) /5.

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Answer & Step-by-step explanation:

In this problem, we a re given two points. These points are (-4, 3) and (-2, -1). We can use these points and put them into the slope formula.

\(Slope=\frac{y2-y1}{x2-x1}\)

Now, plug in the points to their respectful places.

\(Slope=\frac{-1-3}{-2-(-4)}\)

\(Slope=\frac{-4}{2}\)

\(Slope=-2\)

So, your slope of the the line is -2.

Answer:

The commission rate is 15%

Step-by-step explanation:

commission = commission rate x sales

where the commission rate is expressed as a decimal.

In this case, the salesperson earned a commission of $345 for selling $2,300 in merchandise. Therefore, we have:

345 = commission rate x 2300

To solve for the commission rate, we can divide both sides by 2300:

commission rate = 345/2300

Simplifying this expression, we get:

commission rate = 0.15

So, the commission rate is 15%

Answer:

two sides have the length of 7m

third side is 11m

Step-by-step explanation:

perimeter is the sum of all sides

let 'n' = length of congruent sides

let '2n - 3' = length of third side

25 = n + n + 2n - 3

25 = 4n - 3

28 = 4n

n = 7m

2(7) - 3 = 11m

The average number of enrollments per day at the Sunnyside Daycare is 21.

An average is a result obtained by summing some numerical values and then dividing the total by the number of values or variables.

An average is the mean, which is one of the central tendency values.

Day          Number of Enrollments

Monday                 17

Tuesday                19

Wednesday         23

Thursday              14

Friday                  25

Saturday             28

Total =               126

Average enrollments = 21 (126/6)

Thus, the average number of enrollments per day at the Sunnyside Daycare is 21.

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What was the average number of enrollments per day?

Answer: -2

Step-by-step explanation:

Answer:

(3, \(\frac{1}{2}\) )

Step-by-step explanation:

to find the point of intersection, solve the equations simultaneously.

3x + 2y = 10 → (1)

2x - 6y = 3 → (2)

multiplying (1) by 3 and adding to (2) will eliminate y

9x + 6y = 30 → (3)

add (2) and (3) term by term to eliminate y

11x + 0 = 33

11x = 33 ( divide both sides by 11 )

x = 3

substitute x = 3 into either of the 2 equations and solve for y

substituting into (1)

3(3) + 2y = 10

9 + 2y = 10 ( subtract 9 from both sides )

2y = 1 ( divide both sides by 2 )

y = \(\frac{1}{2}\)

solution is (3, \(\frac{1}{2}\) )

Answer:

41

Step-by-step explanation:

76 + 63 = 139

180 - 139 = 41

Answer:

Step-by-step explanation:

76° + x° + 63° = 180°

x + 139 = 180

x° = 41°

Answer:

x = 16

Step-by-step explanation:

Opposite sides are equal in a parallelogram

AD = BC

5x - 12 = 3x + 20

5x - 3x = 20 + 12

2x = 32

x = 32/2

x = 16

Answer:

-5

Step-by-step explanation:

-31=9+8x

we need to isolate the variable by moving 8x to the left side and -31 to the right side....therefore 8x becomes a negative, -8x, and -31 a positive....so now it would look like...

-8x=9+31

then we work the right side out...

-8x=40

to get x we need to divide -8x by 8 so we do the same to the right side as well....

-8x=40

÷8 ÷8

so...

x=-5

hope this helped you- have a good day bro cya)

Answer: The length of the prism is 8 yards

Step-by-step explanation:

First, take the volume of the prism, divide it by the width (2 1/2). Once you get that divide that answer by height (5 3/4) getting you the length of the prism (8 yards)