The product of the third and the sixth terms of an arithmetic sequence is 406. The
ninth term of the sequence divided by the fourth term gives a quotient of 2 and a
remainder of 6. Find the first term and the common difference of the arithmetic
sequence​

Answer:

16 + 2x

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

We are given the integral:

[tex]\displaystyle \int_1^2\frac{x^7-4x^3+6}{x^2}\, dx[/tex]

And we want to select its equivalent form.

We can simply divide the fraction. Therefore:

[tex]=\displaystyle \int_{1}^2\frac{x^7}{x^2}-\frac{4x^3}{x^2}+\frac{6}{x^2}\, dx[/tex]

Simplify:

[tex]\displaystyle =\int_1^2 x^5-4x+6x^{-2}\, dx[/tex]

Our answer is C.

Answer:

8:1  

Step-by-step explanation:

Volume of a cube = Length of edge³

So the equation for the small cube is,

V=L³

If the edge of the bigger cube is twice as long as the smaller cubes edge, then the equation for the bigger cube is:

V = (2L)³

  = (2³)L³

  = (8)L³

Combining these two in ratio form:

(8)L³ : (1)L³

You can remove the L³ from each side because they are equal

So the answer is  8:1

Answer:

(31.919,42.881)

Step-by-step explanation:

Using the t-distribution, it is found that the 95% confidence interval for the true mean number of pepperonis on a large pizza at this restaurant is (31.92, 42.88). It means that we are 95% that the true mean number of pepperonis for all large pizzas at the restaurant is within this interval.

In this problem, we will find the standard deviation for the sample, hence the t-distribution will be used.

The confidence interval is given by:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

For this problem:

The lower bound of the interval is:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 37.4 - 2.2622\frac{7.66}{\sqrt{10}} = 31.92[/tex]

The upper bound of the interval is:

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 37.4 + 2.2622\frac{7.66}{\sqrt{10}} = 42.88[/tex]

The 95% confidence interval for the true mean number of pepperonis on a large pizza at this restaurant is (31.92, 42.88). It means that we are 95% that the true mean number of pepperonis for all large pizzas at the restaurant is within this interval.

More can be learned about the t-distribution at https://brainly.com/question/16162795

Answer:

A. 2

Step-by-step explanation:

Circumference of a circle = 2πr

if π = 3.14

and C = 6.28

6.28 = 2(3.14)r

r= 1

d= 2r

d= 2 * 1

d= 2

Answer:

B

Step-by-step explanation:

20x^2 - 12x - 8

4 ( 5x^2 - 3x - 2 )

5 * - 2 = - 10

Factors of - 10

1 , - 10

10, - 1

2, - 5

5, - 2

5x^2 - 5x + 2x - 2

5x (x - 1)  2 (x - 1)

4 (x - 1) (5x + 2)

(4x - 4) (5x + 2)

Answer:

A

Step-by-step explanation:

first num is 15

ratio is 0.2

formula is a.r^n-1

Answer: n=-42

Step-by-step explanation:

Take the given equation

-67 = n - 25

+25       +25

Add 25 to each side to cancel out the negative 25 on the right side

-67 + 25 = -42

n = -42

Answer:

(x+3)(x+1)

Step-by-step explanation:

I'm assuming you need to factorise?

Answer:

(x+1)(x+3)

if u want me to explain how it works let me know

Answer:

12

Step-by-step explanation:

The function is just saying that 1/3 of a number is 4

Of the list given the only number when you take 1/3 of it equals 4 is 12

There is only one solution

12

Answer:

6

Step-by-step explanation:

Area of sq:

A = bh

A = (2)(2)

A = 4

Area of triangle:

A = 1/2bh

A = 1/2(2)(2)

A = 2

Combined:

4 + 2 = 6

Answer:

yes and no a.a

Step-by-step explanation:

Car A travels the fastest on 1 gallon of gas.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. The unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

Given that car, the magazine reports the numbers of miles driven for different amounts of fas for Three car.

Consider us solving for the miles per gallon of individual cars

A. miles driven =140

A gallons= 5

x= 140/5

x= 28 miles per gallon

To learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ5

Answer:

0.875?

Step-by-step explanation:

I just did 7 divided by 8

Answer:

14/16

49/56

Step-by-step explanation:

I looked it up for you!!!

Answer:

20x

Step-by-step explanation:

4(2x+3)

4(5x)

4x5x

20x

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Answer: IF you meant 2.88 x 10^-12 The answer is: 0.00000000000288 OTHERWISE i don't know what you were asking

Explanation:

I hope this helped!

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- Zack Slocum

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Answer:1.6799999999999997 x 10^1

Answer:

A. Randomly select the sample in the lobby of the building so workers who do not enter the cafeteria can be included.

Step-by-step explanation:

Randomly select the sample in the lobby of the building so workers who do not enter the cafeteria can be included.

We have given that,

Natasha conducted a survey to determine how many of the 215 workers in her office building use public transportation to get to work. She surveyed 30 randomly selected workers who entered the office cafeteria throughout the day. Of the 30 workers surveyed, 9 used public transportation to get to work.

We have to determine that,

a change to Natasha's survey process would make the data more reliable.

Random sampling, or probability sampling, is a sampling method that allows for the randomization of sample selection each sample has the same probability as other samples to be selected to serve as a representation of an entire population.

Randomly select the sample in the lobby of the building

So workers who do not enter the cafeteria can be included.

Therefore the correct option is A.

Thus, Randomly select the sample in the lobby of the building so workers who do not enter the cafeteria can be included.

To learn more about the random sample visit:

https://brainly.com/question/24466382

#SPJ2

Answer:

54

Step-by-step explanation:

486(1/9)

Answer:

I believe it’s 54 more people

Step-by-step explanation:

Because if you divide 486 by 9 you get 54. 54 multiplied by 2 equals 108. So 108 voted for ice cream. While only 54 voted for frozen yogurt. Hope this helps

Answer:

D

Step-by-step explanation:

A.  false; the diameter of a circle is double the radius

B.  false; the diameter of a circle is double the radius

C. false; the diameter of a circle is double the radius

D. true! The diameter is double the radius

Answer:

1620 m³

Step-by-step explanation:

To find the answer, we simply have to multiply the three values by three, and then multiply those new values together. 5 x 3 = 15, 4 x 3 = 12, 3 x 3 = 9, Multiply 15 x 12 x 9 and you get 1620.

(P.S. Make sure you put meters cubed [m³]! Some teachers are very picky about that.)

Answer:

umm 4 ft

Step-by-step explanation:

Answer:

12 ft sq.

Step-by-step explanation:

Answer:

An ordered pair that is a solution to the equation is (2,3).

Step-by-step explanation:

To find an ordered pair that is a solution to the equation, we attribute a value to one of the variables(x or y), and find the other.

4x-y=5​

Using y = 3

4x - 3 = 5

4x = 8

x = 8/4 = 2

An ordered pair that is a solution to the equation is (2,3).

Answer:

They originally paid $28,750

Source:

Trust me bro, I used a calculator

59,000-1500= 57,500/2=28,750

Answer: 4 pounds of flour

Step-by-step explanation:

Answer:

Y=4x

Y is total profita

X is how many she sells

Answer:

x = 6 ± 5[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Given

x² - 12x = 39

Using the method of completing the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(- 6)x + 36 = 39 + 36

(x - 6)² = 75 ( take the square root of both sides )

x - 6 = ± [tex]\sqrt{75}[/tex] = ± 5[tex]\sqrt{3}[/tex] ( add 6 to both sides )

x = 6 ± 5[tex]\sqrt{3}[/tex] ← solutions in exact form

Answer:

x = 6 ± 5* OR 6 - 5*

Step-by-step explanation:

In decimal form it would be either 14.66025403... or -2.66025403

Hope this helps!

Answer:

bd – boundary. (Also written as fr or ∂.) Bi – Airy function of the second kind. BIDMAS – Brackets, Indices, Divide, Multiply, Add, Subtract.

Step-by-step explanation:

9514 1404 393

Answer:

  158,000

Step-by-step explanation:

Using the given square feet for x in the equation, we have ...

  y = 0.071×1483 +52.48 = 157.773

We presume this is supposed to represent the estimated value of the house in thousands.

The fair price is estimated to be 158,000.