A sequence can be generated by using an=an−1+9, where a1=−5 and n is a whole number greater than 1. What are the first four terms in the sequence?
A.−5, 4, 13, 22
B.9, 4, −1, −6
C.−5, −45, −405, −3645
D. 9, −45, 225, −1125

Answers

Answer 1

Answer:

A

Step-by-step explanation:

For the sequence, the defining formula is given as;

an = Previous term + 9

So a2 will be -5 + 9 = 4

a3 will be 4 + 9 = 13

a4 will be 13 + 9 = 22

a5 will be 22 + 9 = 31

So the sequence of numbers will be;

-5, 4 , 13 , 22 , 31


Related Questions

imagine having friends :(

Answers

Answer:

I couldn't

The ones I used to be friends with now all hate me lol ;-;

Step-by-step explanation:

The average number of daylight hours, y, in a month for a particular city over the course of a 12-month year can be determined using the equation y = 2.375sin((StartFraction pi Over 6 EndFraction x minus StartFraction pi Over 2 EndFraction))+12.125, where x = 0 represents December, x = 1 represents January, etc.

Answers

Answer: 1,2, 5

Step-by-step explanation:

The amount of daylight fluctuates between 4.5 between least to greatest, and the graph required 3 months of horizontal shift compared to the parent function y = sin x, and the greatest number of sunlight can be 14.5 hours, so options A, B, and E are correct.

What is average?

The middle number, which is obtained by dividing the sum of all the numbers by the variety of numbers, is the average value in a set of numbers. To calculate the average of a set of data, add up all the values and divide the result by the total number of values.

Given:

The average number of daylight hours, y, in a month for a particular city over the course of a 12-month year can be determined using the equation

y = 2.375 sin [(π / 6)x - π / 2]+ 12.125,

Calculate the greatest number of daylight as shown below,

y = 2.375 sin[30 - 90] + 12.125

y = 14.5 hours

Hence, the greatest number of sunlight can be 14.5 hours,

To know more about average:

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Given 5x - y = 16, solve for y

Answers

i don’t know if this is helpful but i tried , sorry

y = 5x -16 will be the Solution for y in terms of x for the given equation.

What is Linear function?

A linear function in mathematics is one that has either one or two variables and no exponents. It is a function with a straight line as its graph.

Given a linear function 5x - y = 16

Solution for y in terms of x will be

5x - y = 16

=> 5x = 16 +y

=> y = 5x -16

Therefore, the Solution for y in terms of x for the given equation will be:

y = 5x -16.

Learn more about Linear Functions here:

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The length of a rectangle is twice that of the width. The perimeter of the rectangle
is 24 cm. What is the width of the rectangle?

Answers

9514 1404 393

Answer:

  4 cm

Step-by-step explanation:

The sum of length and width is half the perimeter, so is 12 cm.

The width : length ratio is 1 : 2. The width is 1/(1+2) = 1/3 of the total of length and width, so is ...

  (1/3)(12 cm) = 4 cm

The width of the rectangle is 4 cm.

four more than the product of 22 and a number

Answers

Answer:

22(x)+4

Step-by-step explanation:

This shows that whatever 22*x is it will be 4 greater

Simplify.

xb2aaayx3yyb3xxabby4x2

Answers

Answer:

is that even a real equation?

Uh, I don’t believe this can be simplified...

this is number 1 I have 2 more question to this problem. I i really need this answer because I kidda failing class but if somebody help me it will make my day ​

Answers

Answer:

I think that's it :)

Step-by-step explanation:

cause 2.5 x 2 = 5

and then 3 x 2 = 6

An animal shelter has $2500 in its reserve fund. The shelter charges $40 per animal placement and would like to have at least $4000 in its reserve fund. Write an inequality to represent this situation.

Answers

Answer:

Step 1

Write and solve the inequality:

2,500 + 40a ≥ 4,000, or 40a ≥ 1,500

a ≥ 37.5

Step 2

If the shelter places 30 cats and 10 dogs,

or 40 animals, that will be enough to meet

its goal, because a = 40 is a solution to the

inequality a ≥ 37.5.

x-(x(x-y to the power of 3)) ; use x=9 and y=1

Answers

Answer:

-4599

Step-by-step explanation:

x-(x(x-y)^3) , x=9, y=1

=9-(9(9-1)^3)

=9-(9(8)^3)

=9-(9*512)

=9-4608

= -4599

Answer for brainliest.

Answers

Answer:

t > 28

Step-by-step explanation:

Given

[tex]\frac{t}{4}[/tex] > 7 ( multiply both sides by 4 to clear the fraction )

t > 28

Answer:

[tex]t>28[/tex]

Step-by-step explanation:

[tex]\frac{t}{4} >7\\[/tex]

Times both sides by 4

[tex]t>28[/tex]

Hope this helps and pls do mark me brainliest:)

Carmen is writing an article for a magazine. She will be paid a fee and also will be paid for each word that is published. The total amount she can expect to be paidin dollars, can be estimated using the function f(x) = 2.5x + 150 , where is the number of words published . What is the inverse of this function?

Answers

Answer:

The inverse function of f(x)=2.5*x+150 is f⁻¹(x)=[tex]\frac{2}{5}x-60[/tex]

Step-by-step explanation:

An inverse or reciprocal function of f (x) is called another function f ⁻¹(x) that fulfills that:

If f(a)=b then f⁻¹(b)=a

That is, inverse functions are functions that do the "opposite" of each other. For example, if the function f (x) converts a to b, then the inverse must convert b to a.

To construct or calculate the inverse function of any function, you must  follow the steps below:

Since f (x) or y is a function that depends on x, the variable x is solved as a function of the variable y. And since inverse functions swap the input and output values ​​(that is, if f (x) = y then f⁻¹(y) = x), then the variables are swapped and write the inverse as a function.

You know that he function f(x) = 2.5*x + 150 or y=2.5*x +150

Solving for x:

2.5*x +150=y

2.5*x= y-150

[tex]x=\frac{y-150}{2.5}[/tex]

[tex]x=\frac{y}{2.5}-\frac{150}{2.5}[/tex]

[tex]x=0.4y-60=\frac{2}{5}y-60[/tex]

Exchanging the variable, you obtain that the inverse function of f(x)=2.5*x+150 is f⁻¹(x)=[tex]\frac{2}{5}x-60[/tex]

Triangle PQR and triangle RST are similar right triangles PO

OR represents the Slope of the line PR. Set up an equivalent ratio for the Slope of the line RT. (Use the corresponding sides of triangle RST)
Please show work.​

Answers

Answer:

[tex] \frac{PQ}{QR} = \frac{-4}{3} [/tex]

Step-by-step explanation:

Given that ∆PQR ~ ∆RST, if [tex] \frac{PQ}{QR} [/tex] gives us the slope of line PR, it will also be equivalent to the slope of line RT, which is given as [tex] \frac{PQ}{QR} [/tex].

Therefore:

[tex] \frac{PQ}{QR} = \frac{RS}{ST} [/tex]

[tex] \frac{PQ}{QR} = \frac{-5 - 3}{2 -(-4)} [/tex]

[tex] = \frac{-8}{2 + 4} [/tex]

[tex] = \frac{-8}{6} [/tex]

[tex] \frac{PQ}{QR} = \frac{-4}{3} [/tex]

What is the solution to 0.2 (4x - 8) = 0.4(12-2x)

Answers

Answer:

x = 4

Step-by-step explanation:

Let's multiply both sides by 5 to get rid of the leading fractions.

5 X 0.2 (4x - 8) = 5 X 0.4(12-2x)

(4x-8) = 2 (12-2x)

4x - 8 = 24 - 4x

8x = 32

x = 4

x = 4

PLEASE HELP!! MATH FINAL, NO EXPLANATION NEEDED :))

Answers

Answer:

B.

Step-by-step explanation:

When you move right or left it's inside the parentheses and the opposite so right is - and left is + when you move up or down its the same so up is + and down is -.

Answer:

B

Step-by-step explanation:

It's asking for moving right 3 and down 2. To move right three, you have to subtract 3 (It's switched up). This goes inside the parenthesis, because if it was outside of the parenthesis, it would be going up or down. Now, to go down 2, you have to subtract 2 outside of the parenthesis (It's normal). That leaves you with f(x-3)-2. Therefore, the answer is B.

Please help me out with this! *It's just an extra practice assignment :)​

Answers

Answer:

t and r are parallels

t and p are perpendicular

Step-by-step explanation:

r and t have the same coordinates 4,1 but one has a negative 4 and 1

t and p have a dot on the same spot

people wont solve my question i need it ASAP

Answers

Answer:

A pig has 10,000 kg mass more than a mass

Step-by-step explanation:

[tex]\frac{2*10^{2}}{2*10^{10}}=\frac{10^{2}}{10^{-2}}\\\\=10^{2}*10^{2}\\\\=10^{2+2}\\\\=10^{4}\\\\=10000[/tex]

Plz help :( I don’t understand

Answers

PLEASE MARK AS BRAINLIST

Answer:

1. 2x-20+2x-15=13

4x-35=13

4x=13+35

4x=48

x=12

2. x-4+9=2x-4

2x-x= -4+9+4

x=9

3. IJK=41+130=171

4. KJD=88-50=38

The number of concurrent users of a social networking site has increased dramatically since . By ​, this social networking site could connect concurrently 70 million users online. The function ​P(t)​(​)​, where t is the number of years after ​, models this increase in millions of users. Estimate the number of users of this site that could be online concurrently in ​, in ​, and in . Round to the nearest million users.

Answers

Complete question:

The number of concurrent users of a social networking site has increased dramatically since 2005. By 2014, this social networking site could connect concurrently 70 million users online. The function P(t) = 2.459(1.475)^t, where t is the numbe of years after 2005, models this increase in millions of users. Estimate the number of users of this site that could be onlin concurrently in 2006, in 2010, and in 2013. Round to the nearest million users

Answer:

Kindly check explanation

Step-by-step explanation:

Given the function :

The function P(t) = 2.459(1.475)^t, where t is the numbe of years after 2005

Estimate the number of users of this site that could be online concurrently in:

2006:

t = (2006 - 2005) = 1

P(t) = 2.459(1.475)^t

P(1) = 2.459(1.475)^1

P = 2.459(1.475)

= 3.627025 = 4 million users (nearest million)

2010 :

t = (2010 - 2005) = 5

P(t) = 2.459(1.475)^t

P(5) = 2.459(1.475)^5

P = 2.459(6.981682607421875)

= 17.1679575 = 17 million users (nearest million)

2013:

t = (2013 - 2005) = 8

P(t) = 2.459(1.475)^t

P(8) = 2.459(1.475)^8

P = 2.459(22.404546753)

= 55.09278 = 55 million users (nearest million)

Evaluate the function.
g(x) = 3x2 – 2x + 5
Find f(2)

Answers

Answer:

13

Step-by-step explanation:

12-4+5 = 13

Name the constant of variation for the equation: y=-2/3x

Answers

The constant of variation is the slope, which is the number before the x variable.

The answer is -2/3

Solve for x . x^2+6x+6=0

Answers

Answer:

[tex]\boxed {x = \sqrt{3} - 3}[/tex]

[tex]\boxed {x = -\sqrt{3} - 3}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]x^2 + 6x + 6 = 0[/tex]

-When you use the quadratic formula ( [tex]\frac{-b\pm \sqrt{b^{2} - 4ac}}{2a}[/tex] ), it would give you two solutions. So, use the quadratic formula:

[tex]x = \frac{-6\pm \sqrt{6^{2} - 4 \times 6}}{2}[/tex]

-Simplify [tex]6[/tex] by the exponent [tex]2[/tex]:

[tex]x = \frac{-6\pm \sqrt{6^{2} - 4 \times 6}}{2}[/tex]

[tex]x = \frac{-6\pm \sqrt{36 - 4 \times 6}}{2}[/tex]

-Multiply both [tex]-4[/tex] and [tex]6[/tex]:

[tex]x = \frac{-6\pm \sqrt{36 - 4 \times 6}}{2}[/tex]

[tex]x = \frac{-6\pm \sqrt{36 - 24}}{2}[/tex]

-Add [tex]34[/tex] and [tex]-24[/tex]:

[tex]x = \frac{-6\pm \sqrt{36 - 24}}{2}[/tex]

[tex]x = \frac{-6\pm \sqrt{12}}{2}[/tex]

-Take the square root of [tex]12[/tex]:

[tex]x = \frac{-6\pm \sqrt{12}}{2}[/tex]

[tex]x = \frac{-6\pm 2\sqrt{3}}{2}[/tex]

-Now solve the equation when [tex]\pm[/tex] is plus, So, add [tex]-6[/tex] to [tex]2\sqrt{3}[/tex]:

[tex]x = \frac{-6\pm 2\sqrt{3}}{2}[/tex]

[tex]x = \frac{2\sqrt{3} - 6}{2}[/tex]

-Divide  [tex]-6 + 2\sqrt{3}[/tex] both sides by [tex]2[/tex]:

[tex]x = \frac{2\sqrt{3} - 6}{2}[/tex]

[tex]\boxed {x = \sqrt{3} - 3}[/tex] (Answer 1)

-Now solve the equation when [tex]\pm[/tex] is minus. So, Subtract [tex]2\sqrt{3}[/tex] from [tex]-6[/tex]:

[tex]x = \frac{-2\sqrt{3} - 6}{2}[/tex]

-Divide [tex]-2\sqrt{3} - 6[/tex] by [tex]2[/tex]:

[tex]x = \frac{-2\sqrt{3} - 6}{2}[/tex]

[tex]\boxed {x = -\sqrt{3} - 3}[/tex] (Answer 2)

What is the correct equation to find the value of X?

Answers

Answer:

x = 12

Step-by-step explanation:

The 2 angles shown are corresponding angles and congruent, thus

8x - 17 = 5x + 19 ( subtract 5x from both sides )

3x - 17 = 19 ( add 17 to both sides )

3x = 36 ( divide both sides by 3 )

x = 12

Write the equation of the line that passes through the point (3,5) and is perpendicular to the line y=3.
x=3
y=5
x=2
y=3

Answers

Answer:

x = 3

Step-by-step explanation:

y = 3 is the equation of a horizontal line parallel to the x- axis.

A line perpendicular to it must therefore be a vertical line parallel to the y- axis with equation

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (3, 5) with x- coordinate 3 , thus

x = 3 ← equation of perpendicular line

i need help on this problem im stuck on it​

Answers

Answer:2.8

or

2.83333

Step-by-step explanation:

Given : A table is given to us . The table is ,

[tex]\begin{tabular}{|c|c|}\cline{1-2} \bf Day of week & \bf Minutes Spend \\\cline{1-2} Sunday & 23 \\\cline{1-2} Monday & 38 \\\cline{1-2} Tuesday & 42 \\\cline{1-2} Wednesday & 17 \\\cline{1-2} Thursday & 29 \\\cline{1-2} Friday & 10 \\\cline{1-2} Saturday & 11 \\\cline{1-2} \end{tabular}[/tex]

To Find : The total hours spend by Marisol on reading .

Solution : Total hours spend on reading will be equal to the sum of time taken by him each day on reading .

So , total time of reading will be ;

= (23 + 38 + 42 + 17 + 29 + 10 + 11) min

= 170 min .

= 120min + 50min .

= 2 hours 50mim .

[tex]\boxed{\red{\bf Correct\:option - [d]}}[/tex]

A) the quantity in column A is larger
B) the quantity in column B is larger
C) the two quantities are equal
D) relationship cannot be determined with the given information

Answers

Answer: A

The number of distinctive prime factors in Column A is 60.

The number of distinctive prime factors in Column B is 30.

This number is 1/2 half more prime factors.

There is 30 more prime factors, so the answer is A.

The quantity in column A is larger than column B.

3.What is the area of a Square with sides measuring 9 inches?

Answers

Answer:

81

Step-by-step explanation:

length times width = area

Answer:

81 inches.

Because 9

Step-by-step explanation:

If SV is a perpendicular bisector of RT, which statement is true?

Answers

The correct answer is A. :)).

Answer:

The correct answer is A

Step-by-step explanation:

does Squaring a number and adding one will always result in an even number

Answers

No, if you square an odd number and add one the result would be even but if you square an even number and add one, the result would be odd.

Answer:

no, let's say we're squaring 2.

Step-by-step explanation:

2^2 = 2 x 2.

2 x 2 = 4

4 + 1 = 5

5 isn't even.

Basically, squaring a number that is already even and adding one will equal and odd number.

Use PEMDAS to solve the following Order of Operations problem. 4 x 7-6^2÷ 3 = _______​

Answers

Answer:

16

Step-by-step explanation:

4 x 7 - 6 x 6/3

4 x 7 - 36 / 3

28 - 36 / 3

28 - 12

16

1.) 9x + 2x - 5x + 7 - 6

Answers

Answer:

6x+1

Step-by-step explanation:

9x+2x-5x+7-6

11x-5x+7-6

6x+1

Awnser: 6x+1 :D

                                         

What you do is you split it in half so 9x plus 2x is 11x minus 5x is 6x. 7-6 is 1. Put them together and you get 6x+1

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