Write the first five terms for the following recursive rule.

f(1)=7
f(n)=f(n-1)+12

Answers

Answer 1

Answer:

PLEASE MARK ME AS BRANLIEST!!!!!

Step-by-step explanation:

a1 = first term; an= an-1 + d a1 = the first term in the sequence an = the nth term in the sequence an-1 = the term before the nth term n = the term number d = the common difference.

{10, 15, 20, 25, 30, 35, } first term = 10, common difference = 5 recursive formula: a1= 10; an= an-1 + 5

Answer 2

f(n) = f(n-1) + 12

f(1) = 7

f(2) = (7-1) + 12 = 18

f(3) = (18-1) + 12 = 29

f(4) = (29-1) + 12 = 40

f(5) = (40-1) + 12 = 51

7, 18, 29, 40, 51


Related Questions

i need help with 2-5 in solving it.

Answers

Answer:

I can recommend you searching onlime

What is m + 5n where m = 1 and n = 5?

CHOOSE THE RIGHT ANSWER:
A. 26
B. 52
C. 25
D. 62

HELP! (T^T)​

Answers

Answer:

A. 26

Step-by-step explanation:

substitute the number in for the variables (letters).

[tex]m + 5n \\ \\ 1 + 5(5) \\ 1 + 25 \\ 26[/tex]

In this problem, I did part a) correctly, but I got 7 points off in part b) but I don’t know why?

Answers

Answer: You need to prove that ABCD is a rhombus because it's diagonals are always perpendicular, no matter what.

A rhombus is a quadrilateral and:

- its opposite angles have equal measure.

- The two diagonals of a rhombus are perpendicular; that is, a rhombus is an orthodiagonal quadrilateral.

- Its diagonals bisect opposite angles.

y - 2x=4
3x -5y =15 ddddddddddd

Answers

Answer:

Hope this is right and helps :)

Step-by-step explanation:

At Albemarle High School, 5/9 of the students are in band and 57% of the students are in chorus. Are more AHS students in band or chorus?

Answers

Let find percentage of 5/9

[tex]\\ \sf\longmapsto 5/9(100)[/tex]

[tex]\\ \sf\longmapsto 500/9[/tex]

[tex]\\ \sf\longmapsto 55.5\%[/tex]

More students are in chorus

Given

Percentage of students in Chorus.

Fraction of students in band

To find

Which has more students.

Let's start.

We need to find the Percentage of students in band.

[tex]\sf \longmapsto \: \dfrac{5}{9} \times 100[/tex]

[tex]\sf \longmapsto \: \dfrac{5}{9} \times \dfrac{100}{1} [/tex]

[tex]\sf \longmapsto \: \dfrac{5 \times 100}{9 \times 1} [/tex]

[tex]\sf \longmapsto \: \dfrac{500}{9} [/tex]

In Percentage:-

[tex]\sf \longmapsto \: \cancel \dfrac{500}{9} [/tex]

[tex]\sf \longmapsto \: 55.55\%[/tex]

[tex]\sf{55.55\% (Band)}<\sf{57\%(Chorus)}[/tex]

Chorus has more students

I have 7 friends. I owe 3 of my friends a dollar and 4 of my friends owe me a dollar. I can tell the difference between my friends. How many ways can I settle all the debts given that I start with 0 dollars

Answers

Answer:

2

Step-by-step explanation:

either the four friends give you the money first then you give it to the three friends That is one Or youcan ask your parental figure to own you three dallors then you will have more money at the End.

A shipment contains 10 igneous, 8 sedimentary, and 8 metamorphic rocks If 8 rocks are selected at random, find the probability that exactly 6 are sedimentary
The probability that exactly 6 of the rocks are sedimentary is
(Round to four decimal places as needed.)

Answers

The probability that exactly 6 are sedimentary is 0.00002

Probability is the likelihood or chance that an event will occur.

Given the total amount of rocks = 10 + 8 + 8 = 26 rocks

If there is a total of 8 sedimentary rocks, the total outcome will be expressed as:

26C8 = 26!/(26-8)!8!

26C8 = 1562275

If exactly 6 are sedimentary are selected out of 8 sedimentary rocks, then the expected outcome is ;

8C6 = 8!/(8-6)!6!

8C6 = 28

Pr(exactly 6 are sedimentary ) = 28/1562275

Pr(exactly 6 are sedimentary ) = 0.000017922

Hence the probability that exactly 6 are sedimentary is 0.00002

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Question
Find the area of the parallelogram.



Area =
units²

Answers

Answer:

9 units²

Step-by-step explanation:

Parallelogram area = base × height

Base = 3 units

Height = 3 units

Area = 3 × 3

Area = 9

The area of the parallelogram is 9 units².

Here, we have,

We know that,

Parallelogram area = base × height

here, from the given figure we get,

Base = 3 units

Height = 3 units

so, we get,

Parallelogram area = base × height

Area = 3 × 3

Area = 9

Hence, The area of the parallelogram is 9 units².

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pls pls pls help!!!!
Determine the simple interest earned when $6, 100 is invested at a rate of 5% for 4 years.
$1,220
$305
$610
$1,525

Answers

Answer: I think A 1,220 (I'm not sure)

Step-by-step explanation:

the aswer is A.1,220 si think si correct.

4) When Php 20.247 is rounded to the nearest hundredths, it becomes A, Php 20.24 B. Php 20.25 C. Php 20.247 D. Php 20.248​

Answers

When Php 20.247 is rounded to the nearest hundredths, the value that will be gotten is Php. 20.25.

It should be noted that the 2 after the decimal is the tenth place, 4 is in the hundredth place and 7 is in the thousandth place.

Therefore, when Php 20.247 is rounded to the nearest hundredths, we'll add 1 to 4 since the thousandths place is above 5. Therefore, the new number is Php. 20.25.

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What is the value of -2(x+5)​

Answers

Answer:

-2x-10

Step-by-step explanation:

You have to use the distributive property to solve this problem. You multiply the things inside the parenthesis by -2. -2x+-2x5 = -2x+(-10) = -2x-10

How do you solve linear equations using the distributive property?

Answers

Answer: Solving two-step linear equations using distributive property: a (x+b)=c;aleft ( {x + b} ight) = ca (x+b)=c Solving linear equations using multiplication and division Solving two-step linear equations: ax+b=cax + b = cax+b=c, xa+b=c {x over a} + b = cax​+b=c

Step-by-step explanation:

Answer:

solving equations using distributive property. We'll guide you through two ways that the following question can be solved.

Question: 11.32 = 8(0.61 + x)

Solution 1:

11.32 = 8(0.61+x)

Divide both side by 8, you get 1.415 = 0.61 +x

Minus both side by 0.61, 0.805 = x

In this solution, we first try to move all the non-x terms over to one side. The first step of dividing both sides by 8 helps us move the 8 from the right side to the left side. This allows us to get rid of the parentheses too as the terms no longer have to be multiplied out (there's nothing to multiply them with). Then, in order to move 0.61 to the left side, we'll minus it from both sides. In the end, we'll get that x ultimately equals 0.805.

Solution 2:

11.32 = 8(0.61+x)

Open up the right side, you get 11.32 = 4.88+8x

Minus both side by 4.88, you get 6.44 = 8x

Divide both side by 8, you get 0.805 = x

In solution 2, we're truly using the distributive property. We're going to distribute 8 into the terms in the parentheses, which are "+0.61" and "+x". This gives us 4.88 + 8x on the right side of the equation. Then we can move over 4.88 to the left side with the rest of the non-x terms by minusing it from both sides. Lastly, divide both sides by 8 to move the 8 over to the left side and you'll find that x = 0.805. Both methods will bring you to the same correct answer.

When I visit my brother it is a 532 mile round trip. If I visit my brother once a month how many miles would I travel in a year round the miles to the nearest thousands to estimate the answer

Answers

Answer:

6384 is the exact answer.

6000 is the answer rounded to the nearest thousand

Step-by-step explanation:

Answer:

6000

Step-by-step explanation:

532 X 12 = 6384 rounded would be 6000 miles a yr

Issac wanted to make a homemade bubble solution to play with his friends. A bubble recipe he found requires 4 cups of warm water for every 1/2 cup of soap. If he had 2/3 cup of soap how many cups of warm water will he need

A- 1/12
B- 1 1/3
C- 5/13
D- 8

Answers

Answer: 8/3

You first do 4x2 than you would have to divide by 3. 4x2*3

The number of cups of warm water need for 2/3 cup of soap to make solution is [tex]5\frac{1}{3}[/tex]. Therefore, option C is the correct answer.

What are proportions?

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Given that, a bubble recipe he found requires 4 cups of warm water for every 1/2 cup of soap.

Let the number of cups of warm water need for 2/3 cup of soap be x.

Now, the proportion is

4:1/2 :: x:2/3

1/2 x=4×2/3

x/2=8/3

x=16/3

x= [tex]5\frac{1}{3}[/tex]

Therefore, option C is the correct answer.

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What are the zeros of the function shown in the graph

Answers

Answer:

(-4, 0), (0, 0) and (2, 0)

Step-by-step explanation:

Zero's of the function are the points of intersection of the graph with the x-axis.

From the picture we see zeros:

(-4, 0), (0, 0) and (2, 0)
The zeros of the function are the x intercepts on graph .Let's see the x intercepts

(-4,0)(0,0)(2,0)

Zeros are

[tex]\\ \sf\longmapsto (-4,0)U(0,0)U(2,0)[/tex]

Find the critical points, relative extrema, and saddle points of the function. (If an answer does not exist, enter DNE.) f(x, y) = 25 − (x − 5)2 − y2

Answers

Take the first partial derivatives of f(x, y):

∂f/∂x = -2 (x - 5) = 10 - 2x

∂f/∂y = -2y

The critical points occur where both derivatives are zero:

10 - 2x = 0   ===>   x = 5

-2y = 0   ===>   y = 0

So there is only critical point at (5, 0), which takes on a value of f(5, 0) = 25.

Compute the Hessian matrix for f :

[tex]H(x, y) = \begin{bmatrix}\frac{\partial^2f}{\partial x^2} & \frac{\partial^2f}{\partial x\partial y} \\ \frac{\partial^2f}{\partial y\partial x} & \frac{\partial^2f}{\partial y^2}\end{bmatrix} = \begin{bmatrix}-2&0\\0&-2\end{bmatrix}[/tex]

Since det(H(x, y)) = 4 > 0 for all x, y, the critical point (5, 0) is a relative minimum.

f has no saddle points.

1
21314 JEG B 10
3
Which is the best estimate of -14
of-14; (-20)
ם
10
-42
-28
OOOO
28
42

Answers

Step-by-step explanation:

OOOO

BYE

what percent equals 44 =33

Answers

Answer:

33/44 = 0.75

0.75*44 = 33

Answer:

44% of 75 = 33

Step-by-step explanation:

Rico opens an ice cream shop. The function f ff models the shop's net worth (in thousands of dollars) as a function of time (in months) after Rico opens it. Plot the point on the graph of f ff that corresponds to the shop's net worth when Rico opens it.

Answers

Answer: -5

Step-by-step explanation:

Based on the graph given, the point that on the graph that corresponds with the shop's net worth when Rico opened it is -5.

What was the shop worth when it was opened?

The point that the shop was opened is represented by the value of the y axis when it was first crossed.

Looking at the graph, the line first intercepted the y axis at -5 which means that this was the shop's net worth when it was opened by Rico.

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HELP ME OUT PLEASE!!!

Which equation matches the function described in the table?

A) y = 4x

B) y = x + 1

C) y = x + 5

D) y = 4x - 1​

Answers

Answer:

D) y= 4x - 1

Step-by-step explanation:

We are basically trying to see which of the equations provided are true on both sides of the equal sign when you plug in the x and y values.

Let's start!

Choice A:

  plug in 0 for x and -1 for y

-1 = 4(0)

And you are left with...

-1 = 0

This equation is false! Therefore it does not match the function in the table

Choice B:

   plug in the values again

-1 = 0 + 1

-1 = 1

False!

Choice C:

-1 = 0 + 5

-1 = 5

False!

Lastly...Choice D:

-1 = 4(0) -1

Multiply 4 and 0 which is 0, so you are left with...

-1 = -1

This equation is true!!

So your answer is D

Hope this helps :D

n a very large population that has a proportion of a particular disease p, a researcher conducting a study on this disease, is taking samples sequentially until she receives three cases consecutively. Find the mean and the variance of the number of samples she needs to take.

Answers

Answer:

sorry don't speak Spanish

which two expressions are equivalent to 7(t + 5)?


A). 7 • 5 • t

B). 7 • 5 + t

C). 7 • 5 + 7 • t

D). (5 + t) • 7

E). 5(t + 7)



Answers

Answer:

7.5+7.t

and

(5+t).7

are equivalent to 7(t+5)

Option D and E are equivalent to 7(t + 5) That is :

(5 + t) • 7 and 5(t + 7)

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

The given equation is :

7(t + 5)

7(t+5) multiply 7 with inside the parenthesis

7(t+5) = 7t + 7x5

this result is equivalent to option D and E which will give the same result.

Therefore, Option D and E are equivalent to 7(t + 5).

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Divide $5100 in the ratio 4:3

Answers

Answer:$2914.26:$2185.71

simplify 4y(4y-4)-4(-4y+5+4y2)

Answers

-32y - 20 is the answer




Thank me later

A stockbroker estimates that at the end of the year, there is a 40% chance a stock will be worth $50,
a 35% chance it will be worth $60 and a 25% chance it will be worth $70. What expected value
does this broker assign to this stock's end-of-the-year price?

Answers

The expected value  that  this broker assign to this stock's end-of-the-year price is $58.50.

Using this formula

Expected value=Stock worth at $50+ Stock worth at $60+ Stock worth at $70

Where:

Stock worth at $50=40% chance

Stock worth at $60=35% chance

Stock worth at $70=25% chance

Let plug in the formula

Expected value=(40%×$50)+($35%×$60)+($25%×$70)

Expected value=$20+$21+$17.5

Expected value=$58.50

Inconclusion the expected value  that  this broker assign to this stock's end-of-the-year price is $58.50.

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{6x+5y=4
{6x-7y=-20
solve by elimination

Answers

Answer:

x = -1, y = 2

Step-by-step explanation:

6x + 5y = 4

6x - 7y = -20

We already have a similar leading coefficient (6 for X), so we just subtract equation 1 from equation 2 to get:

12y = 24

Now solve normally:

y = 2

Then substitute into the first equation (or second, it doesn't matter)

6x + 10 = 4

6x = -6

x = -1

What is the solution of this system of equations?
x + 3y = 7
3x +2y = 0
A. (3,2)
B. (-2,3)
C. (2, -3)
D. (-3,2)
E. (-2,-3)

Answers

Answer:

B. (-2,3)

Explanation:

First, we'll turn both lines to slope-intercept form:

x + 3y = 7

Subtract x on both sides to get 3y = -x + 7, then divide 3 on both sides to get y = -1/3x + 7/3.

3x + 2y = 0

Subtract 3x on both sides to get 2y = -3x, then divide 2 on both sides to get y = -3/2x.

Now you can graph (I did it for you above⤴⤴⤴).

Hope this helps you :)

This circle is centered at the point (3,2) and the length of its radius is 5 what is the equation of the circle

Answers

Answer:(x-3)² + (y-2)² = 25

Step-by-step explanation:

A circle's equation is (x-h)² + (y-k)² = r². When centered at the origin, h and k equal 0. If you shift the circle, say, one unit up, then k equals 1, and the equation is x² + (y-1)² = r².

So for your circle, the equation would be (x-3)² + (y-2)² = 5² or (x-3)² + (y-2)² = 25.

Answer:

(x - 3)² + (y - 2)² = 25

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

Here (h, k ) = (3, 2 ) and r = 5 , then

(x - 3)² + (y - 2)² = 5² , that is

(x - 3)² + (y - 2)² = 25 ← equation of circle

Help please im struggling fighting demons rn

Answers

It’s up then to the left

Is ( - 1, 2) a solution of the system y > x and x + y > 0?
O No, because ( - 1, 2) is a solution to only one of these inequalities.
O Yes, because ( – 1, 2) is a solution to both inequalities.
O Yes, because ( - 1, 2) is the point of intersection of the two boundary lines of this system.
No, because ( – 1, 2) is not a solution to either inequality.

Answers

Answer:

Yes, because (-1,2) is a solution to both inequalities

Step-by-step explanation:

2>-1 so the first inequality is correct

-1+2>0 so the second inequality is correct

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