F(n)=−11+22(n−1), left parenthesis, n, right parenthesis, equals, minus, 11, plus, 22, left parenthesis, n, minus, 1, right parenthesis Complete the recursive formula of f(n), left parenthesis, n, right parenthesis.

Answers

Answer 1

Answer:

[tex]a_1 = -11\\\\a_n = a_{(n - 1)} + 22[/tex]

Step-by-step explanation:

An arithmetic sequence is generally given as:

f(n) = a + (n - 1)d

where a = first term and f(n) = nth term, d = common difference

The explicit formula given is:

f(n) = 11 + 22(n - 1)

The recursive formula is made of two statements, the first term and the formula showing how successive terms are related.

Mathematically, it is given as:

[tex]a_1 = a\\\\a_n = a_{(n - 1)} + d[/tex]

Therefore, the recursive formula is:

[tex]a_1 = -11\\\\a_n = a_{(n - 1)} + 22[/tex]

Answer 2

Answer:

The actual answer is g(1)=1

g(n)=g(n−1)+5

Step-by-step explanation:


Related Questions

Help please .....................

Answers

Answer:

70

Step-by-step explanation:

well you know that angles in the same segment are equal so angle VWZ also= 38

triangle VWZ is a triangle so the sum of interior angles sums to 180

180-72-38=70

70 would be your answer

Suppose a triangle has two sides of length 3 and 4 and that the angle
between these two sides is 60°. What is the length of the third side of the
triangle?
A. 5
B. 113
C. 413
D. 3
SUBMIT

Answers

The answer to this question is 413

I’m confused. Thanks

Answers

Step-by-step explanation:

Angle XBC = 55 degrees because it is a corresponding angle with Angle AXC

and corresponding angles are equal or congruent.

Ok so angle XBC = 55 degrees and since this an isosceles triangle

XBC = XCB which means XCB = 55 degrees

Now to find angle BXC we know that all angles of a triangle add up to 180 degrees.

Angle XBC + Angle XCB + Angle BXC = 180 degrees

Let x represent angle BXC

55 + 55 + x = 180

110 + x = 180

x = 180 - 110

x = 70

∴ Angle BXC = 70 degrees

Find the largest number which divides 296 and 1250 , leaving remainders 29 and 8 respectively​

Answers

Answer:

3.

Step-by-step explanation:

It looks like the question is wrong. I think you mean the remainder for 1250 is 29 and for 296 it is 8.

1250 - 29 = 1221

296 - 8 = 288

We need the GCF of 288 and 1221:

1221 = 3 * 11 * 37

288 = 2*2*2*2*2*3*3

Which is also 3!!

I really don't know sorry.

work out the volume of a pyramid please help i’ll give u brainlest

Answers

Answer:

2406.17

Step-by-step explanation:

Answer:

2406.17 is you answer please park brainlest

Step-by-step explanation:

Explain how to choose an appropriate unit for a measurement.

Answers

Answer:

Use the graph of the exponential growth function

f(x) = a(2x) to determine which statement is true.

f(0) = 2 when a = One-half.

f(0) = 3 when a = 3.

f(1) = 9 when a = 9.Step-by-step explanation:

a store is having a sale on almonds and jelly beans. for 2 pounds of almonds and 3 jelly beans , the total cost is $14. for 4 pounds of almonds and 8 pounds of jelly beans, the total cost is $33. find the cost of each pound of almonds and each pound of jelly beans

Answers

Answer:

almonds cost $3.25 per pound and jelly beans $2.50

Step-by-step explanation:

system of linear equations

2a+3j=14

4a+8j=33

solution is (3.25, 2.5)

Please solve this problem. I will give brainliest:
((4x+6)*70)/2=4
Solve for x

Answers

Answer:

x = -103/70 or approximately -1.47

Step-by-step explanation:

First, what I would do is get rid of the denominator, 2. You do this by perming the inverse operation to both sides, so you multiply both sides by 2.

Now your equation is: 70(4x+6) = 8

Next what I did was distribute the 70 inside the parentheses:

280x + 420 = 8.

Then you subtract 420 from both sides:

280x = -412

To get x by itself, you have to divide both sides by 280:

x= -412/280 , which simplifies to -103/70 , or can be written as an approximation of -1.47 (rounded to nearest hundredth)

This number looks nasty, but I checked my work so it should be right :)

Answer:

x=  −103 /70

Step-by-step explanation:

Jake paid $40.50 per solar panel for eight panels and an additional installation fee for a total of $338.50. Jen paid $42.99 per panel for eight panels and an additional installation fee for a total of $354.42. Find the difference between the installation fees Jake and Jen paid.

Answers

Answer: $4.00

Step-by-step explanation:

$40.50 * 8 = $324.00

$338.50 - $324.00 = $14.50

Jake’s installation fee is $14.50

$42.99 * 8 = $343.92

$354.42 - $343.92 = $10.50

Jen’s installation fee is $10.50

To find the difference between the two fees, you subtract the larger fee by the smaller fee.

$14.50 - $10.50 = $4.00

Because you are working a late shift, you will get an increase in your wage. You will get and additional 10% per hour from 6:00pm to 12:00 am and additional 15% from 12:00 am to 1:00 am

Answers

CHECK THE COMPLETE QUESTION BELOW:

Supervisor: "Because you are working a late shift, you will get an increase in your wage. You will get an additional 10% per hour from 6:00 PM to 12:00 AM and additional 15% from 12:00 AM to 1:00 AM." Employee: "I am working from 2:00 PM to 12:00 AM. Between 2:00 PM and 6:00 PM, I will make $12.00 per hour. Between 6:00 PM and 12:00 AM, I will make __________ per hour

Answer:

I will make $13.2 per hour

Explanation:

It can be deducted from the question that that the money Employee gets money for Working from 2.00 PM to 6.00 PM = $12per hour

Also the Employee gets additional 10% of money for working from 6.00 PM to 12.00 AM which implies that

10% = (10/100)*$12per hour

=$1.2per hour

Again, Employee gets additional 15% of the money for working from 12.00 AM to 01.00 AM which can be calculated as:

15% = (15/100)*$12per hour

=$1.8 per hour

which means that Employee gets additional $1.8 per hour

of the money for working from 12.00 AM to 01.00 AM

Therefore, if Employee works from 2.00 PM to 12.00 AM,

Employee will gets money for Working from 2.00 PM to 6.00 PM as well as the 10\% extra wage which

= $12 + $1.2 = $13.2

= \$ 12 + \$ 1.2 = \$ 13.2

An 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculated.
(A) Draw the possibility diagram of the product of the two numbers appearing on the die in each throw

Answers

Answer:

The answer is "64".

Step-by-step explanation:

Given:

8-sided fair die

output of Die = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 }

if the Dice is thrown two times. so, the possible outputs are as follows:

[tex]\to 8 \times 8=64[/tex]

[tex]\texttt{ = (1,1),(1,2),(1,3),(1,4),(1,5),(1,6),}\\ \ \ \texttt{(1,7),( 1, 8),(2,1),(2,2),(2,3),(2,4),}[/tex]

[tex]\texttt{(2,5),(2,6),(2,7),(2,8),(3,1), (3,2),}\\ \texttt{(3,3),(3,4),(3,5),(3,6),(3,7),(3,8) ,}\\\texttt{(4,1),(4,2),(4,3), (4,4),(4,5),(4,6),} \\[/tex]

[tex]\texttt{(4,6),(4,7),(4,8),(5,1),(5,2),(5,3),}\\\texttt{(5,4),(5,5),(5,6),(5,7),(5,8),(6,1),}\\\texttt{(6,2),(6,3),(6,4),(6,5),(6,6),(6,7),}[/tex]

[tex]\texttt{(6,8),(7,1),(7,2),(7,3),(7,4),(7,5),} \\\texttt{(7,6),(7,7),(7,8),(8,1),(8,2),(8,3),}\\ \texttt{(8,4),(8,5),(8,6),(8,7),(8,8)}[/tex]

That's why the product is 64.

Triangle JKL is similar to triangle TUV. Find the missing side length of triangle TUV.

A. 10.6
B. 6
C. 6.2
D. 5.8

Answers

Answer:

B) 6 inches

Step-by-step explanation:

==>Given that ∆JKL ~ ∆TUV, it therefore means the ratio of proportion of the corresponding sides of ∆JKL and ∆TUV are equal.

Thus:

JK/TU = JL/TV = KL/UV

10/7.5 = 8/x = 13/9.75

Let's find x

10/7.5 = 8/x

=>Cross multiply

10*x = 8*7.5

10x = 60

Divide both sides by 10

x = 6 inches

Our answer is B) 6 inches

A study was done by an online retail store to determine the rate at which users used its website. A graph of the data that was collected is shown: What can be interpreted from the range of this graph?

The range represents the 54-month time period of the study.
The range represents the 36-month time period of the study.
The range represents the number of users each month for 36 months. The range represents the number of users each month for 54 months.

Answers

Answer:

The correct answer is C.

Step-by-step explanation:

First, we can eliminate A and D since it is obviously only 36 months.

Note that the question asks what can be interpreted from the range of the graph.

The range is the number of users in thousands (per month) (as can be seen from the side title).

While B is technically correct, it wrongly interprets the range. C is the best choice.

The correct answer is C.

An inequality is shown. 12+11/6x≤ 5+3x Select the statement(s) and number line(s) that can represent the inequality. Click all that apply. a. The solution set is {6, [infinity]} for x ∈ R. b. The solution set is {6, 7, 8, …} for x ∈ N. c. 6 ≤ x d. The value of a number substituted for x is greater than 6. (more options below.)

Answers

Answer:

(a)The solution set is: [tex]x \in [6, \infty) \forall x \in R[/tex]

(c) [tex]6 \leq x[/tex]

Step-by-step explanation:

Given the inequality: [tex]12+\dfrac{11}{6}x\leq 5+3x[/tex]

We solve by collecting like terms

[tex]12+\dfrac{11}{6}x\leq 5+3x\\12-5\leq 3x-\dfrac{11}{6}x\\7\leq \dfrac{18x-11x}{6}\\42 \leq 7x\\$Divide both sides by 7\\6 \leq x\\$We can re-write this as:\\x\geq 6[/tex]

The solution set is therefore: [tex]x \in [6, \infty) \forall x \in R[/tex]

Miguel is playing a game in which a box contains four chips with numbers written on them. Two of the chips have the number 1, one chip has the number 3, and the other chip has the number 5. Miguel must choose two chips, and if both chips have the same number, he wins $2. If the two chips he chooses have different numbers, he loses $1 (–$1). Let X = the amount of money Miguel will receive or owe. Fill out the missing values in the table. (Hint: The total possible outcomes are six because there are four chips and you are choosing two of them.) Xi 2 –1 P(xi) What is Miguel’s expected value from playing the game?

Answers

Answer:

The answer is "[tex]\bold{-\frac{1}{2}}[/tex]"

Step-by-step explanation:

Miguel's choose the best way to win the 2 dollars by pulling the two chips with the number 1.  In total, there are four balls, so his probability of winning is:  

[tex]\to \frac{2}{4} \times \frac{1}{3}= \frac{1}{6}[/tex]

The chances of losing a dollar add up to that amount, so 5/6.  

Price predicted = [tex]\frac{1}{6} \times (2) + \frac{5}{6} \times (-1)[/tex]

                          [tex]=\frac{1}{6} \times 2 + \frac{5}{6} \times -1\\\\=\frac{1}{3} - \frac{5}{6} \\\\=\frac{2-5}{6}\\\\=\frac{-3}{6}\\\\=- \frac{1}{2}\\[/tex]

The final answer is "[tex]-\frac{1}{2}[/tex]"

Is -15.5 a rational number ​

Answers

Answer:

Yes

Step-by-step explanation:

A rational number is any number that can be expressed as a ratio of two integers, for example, 1/2. Rational numbers can be negative too. -15.5 can be expressed as the ratio of two integers in many ways: -31/2 or -62/4. So, yes! -15.5 is a rational number.

A sandwich shop is ordering apples and grapes to make chicken salad. Apples cost $2.19 per pound and grapes cost $2.60 per pound. If they ordered a total of 20 pounds of apples and grapes and paid $35.80, how many pounds of grapes did they order?

We got $19.51 but we think it is wrong.

Answers

Answer:

Less than 13 pounds of grapes,

as 14 pounds of grape exceeds $35.80,

If you order as low as zero pounds of grapes, then the price of apple pounds would be $35.80/20 =$1.79 per pound

Step-by-step explanation:

Let

Quantity of Apple and grapes=20

Cost of apple=$2.19

Cost of grape=$2.60

Total cost of apple and grape=$35.80

a+g=20

a=20-g

PaQa+PgQg=35.80

2.19(20-g)+2.60g=35.80

43.8-2.19g+2.60g=35.80

0.41g=35.80-43.8

0.41g=-8

g=-8/0.41

g= -19.51

PaQa+PgQg=35.80

2.19a+2.60(-19.51)=35.80

2.19a-50.726=35.80

2.19a=35.80+50.726

2.19a=86.526

a=86.526/2.19

=39.51

PaA+PgG=35.80

Pa(20-G)+2.60G=35.80

35.80/2.60 = 13.77 pounds of grapes, but no money will be left to buy apples, unless Pa=0

G<13.77

A square has a side that measures 5.5 units. What is the area of a circle with a circumference that equals the perimeter of the square? Use 3.14 for π, and round your answer to the nearest hundredth. 38.47 units2 94.99 units2 153.86 units2 379.94 units2

Answers

Step-by-step explanation:

here first you have to find the perimeter of square

given that perimeter of circle is equal to perimeter of square,,,,, therefore with the perimeter of square you have to find the radius of the circle.....

now you have the radius of the circle so by applying the formula of area of circle the answer will be finded

Please follow

Answer:

38.47 units²

Step-by-step explanation:

I got it right on the test...

find the equivalent expression to 5^6 5^11/5^5 5^6/5^1 5^1/5^16 5^11/5^-5

Answers

Answer:

[tex]5^{11}/5^5[/tex]

Step-by-step explanation:

[tex]5^{11}/5^5=5^6[/tex]

[tex]5^6/5^1=5^5[/tex]

[tex]5^1/5^{16}=5^{-15}[/tex]

[tex]5^{11}/5^{-5}=5^{16}[/tex]


In this picture B,D, and F are midpoints. AC=50, CE=60, and BD=35
DF=[?]
please help !!

Answers

Answer:

DF = 25

Step-by-step explanation:

We know that the triangle midpoint theorem says that the line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side.

So,

DF = [tex]\frac{1}{2} AC[/tex]

Where AC = 50

DF = 50/2

DF = 25

A cylindrical tank contains 180000cm of water.
The radius of the tank is 45 cm.
Calculate the height of water in the tank. there is no ball​

Answers

Answer:

28.29 cm

Step-by-step explanation:

The formula for the cylinder is πr²h.

180000 = π(45)²h

180000 = 6361.725124h

h = 28.294212

The height is 28.29 cm.

What is the area of the triangle given below? 2 and 6

Answers

Answer:

6 sq. units

Step-by-step explanation:

The area of a triangle is base times height divided by 2.

[tex]\frac{bh}{2}[/tex]

[tex]\frac{6 \times 2}{2}[/tex]

[tex]\frac{12}{2} =6[/tex]

Answer:

D. 6

Step-by-step explanation:

The formula for the area of a triangle is A=1/2bh. In this case, the base is 6 and the height is 2. The work is below:

A=1/2bh

A=1/2(6)(2)

A=1/2(12)

A=6

Hope this helps!!! PLZ MARK BRAINLIEST!!!

Chen spins the spinner and rolls a standard number cube. Find the probability that’s the spinner will stop on blue and the cube will show four. Write the probability as a fraction in simplest form. (Spinner shows 4 quarters, all different colors. Yellow, orange, red and blue.)

Answers

Answer: 1/24

Step-by-step explanation:

You multiply the fraction of the first probability by the fraction of the second probability.

The spinner has 4 colors, the odds of it landing on blue is 1/4

The cube has 6 numbers, the odds of it landing on 4 is 1/6

1/4 * 1/6 = 1/24


the sum of the interior angles of a polygon is 3960 degrees find the size of its exterior angles ​

Answers

Answer:

4320 degrees

Step-by-step explanation:

If interior angles are 3960 degrees then there are 24 sides. If polygon is regular, size of each exterior angle is 15 degrees.

A polygon has as many pairs of interior and exterior as number of its sides. Further each pair of exterior and interior add up to

180 degrees.

Sum of all the exterior angles of any polygon is

360 degrees

As sum of all the interior angles of the polygon is

3960 degrees

Sum of all pairs of exterior and interior angles is

3960 degrees + 360degrees = 4320 degrees

Given the image below, what is the image of C after a dilation with a scale factor of 3
about a center (2,1)? Show all work and explain your reasoning.
PLEASE HELP

Answers

Answer: The coordinates of point C after the dilation are (-2, 5)

Step-by-step explanation:

I guess that you want to find where the point C ends after the dilation.

Ok, if we have a point (x, y) and we do a dilation with a scale A around the point (a,b), then the dilated point will be:

(a + A*(x - a), b + A*(y - b))

In this case we have:

(a,b) = (2,1) and A = 3.

And the coordinates of point C, before being dilated, are: (1, 2)

Then the new location of the point C will be:

C' = (1 + 3*(1 - 2), 2 + 3*(2 - 1)) = (1 -3, 2 + 3) = (-2, 5)

Work out ( 2 × 10 5 ) × ( 3 × 10 4 ) Give your answer in standard form.

Answers

Answer:

Interpreting as: standard form

Input interpretation:

standard form

Definition:

The standard form of a line in the Cartesian plane is given by

ax + by = c

for real numbers a, b, c element R.

I'd greatly appreciate the help-

Answers

Answer:

The 3rd option

Step-by-step explanation:

To prove that 2 triangles are similar, we need to prove that 2 pairs of their angle measurements are congruent.

This is because all triangles have 180 degrees, so if 2 pairs are congruent, the remaining angles will also be congruent

We know that m<D=m<E

We also know that m<DCA=m<ECB because they are vertical angles.

Vertical angles are always congruent.

Therefore, the triangles are similar.

The correct similarity statement would be 1, since <D corresponds with <E.

Now let's look at the 3rd Statement. To prove that two lines are similar, we would have to prove that their alternate interior angles are congruent.

A pair of alternate interior angles would be <D and B or or <E  and <A

There is no way to prove this, since we do not know any of the angle  or that measurements or if the triangles are isosceles triangles.

Hence, the correct choice would be 1 only.

WILL GIVE BRAINLIEST, please help! Calculate JK if LJ = 39, JM = 80, and LM = 89 (Hint: Use proportions)

Answers

Answer:

≈ 18.46

Step-by-step explanation:

LJ = 39, JM = 80, and LM = 89

JK= x ⇒ KL= 39-x

JM/LM= x/(39-x)

80/89=x/(39-x)89x= 80*(39-x)89x+80x= 80*39169x= 3120x= 3120/169x≈ 18.46

Calculate ff(-3). You will get BRAINLIEST.

Answers

Answer:

[tex]ff(-3)=-17[/tex]

Step-by-step explanation:

Image attached below.

3000000000-900000000​

Answers

Answer:

the answer is 2,100,000,000

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