The sum of the first n consecutive even numbers can be found using S=n2+n, where n≥2. What is the value of n when the sum is 42?

Question 8 options:

7


14


6


3

Answers

Answer 1

Answer:

C. 6

Step-by-step explanation:

Given

S = n² + nS = 42, n = ?

Substitute and solve for n:

42 = n² + nn² + 2*1/2n + 1/4 = 42.25(n + 0.5)² = 42.25n + 0.5 = √42.25n + 0.5 = 6.5n = 6

Correct option is C

Answer 2

Answer:

C. 6

Step-by-step explanation:


Related Questions

A toll road company has two plans for customers. One plan charges $10 per month for rental of a transponder (a box that identifies your car on the toll roads) plus $0.60 per mile driven. The second plan does not require that you rent a transponder. Instead, it charges customers $0.75 per mile driven on the toll road. Find the minimum number of miles you would need to drive in a month to make the first deal a better deal.

Answers

Answer:

The minimum number of miles you would need to drive in a month to make the first deal a better deal is 66.6 miles.

Step-by-step explanation:

For the first deal to be a better deal it has to cost less than the second plan and you can write an equation in which the first plan has a lower cost than the second one:

10+0.60m<0.75m, where:

m is the number of miles driven

Now, you can solve for m:

10<0.75m-0.60m

10<0.15m

10/0.15<m

m>66.6

According to this, the answer is that the minimum number of miles you would need to drive in a month to make the first deal a better deal is 66.6 miles.

Answer to get marked brainiest!

Answers

Answer:

D

Step-by-step explanation:

D. He should keep flipping :)

Solve for xxx. Your answer must be simplified. -4+x≤9

Answers

Answer:

x≤13

Step-by-step explanation:

-4+x≤9

Add 4 to each side

-4+4+x≤9+4

x≤13

Answer:

x≤13

Step-by-step explanation:

khan

Jenna borrows $8,000 for college at a yearly simple interest rate of 6%. She takes
15 years to pay off the loan and interest. How much interest does she pay? What is
the total amount she pays?

Answers

Answer:

The interest will rack up to $7,200

The total will be $15,200

Step-by-step explanation:

the interest she pays is $7,000

the total amount she pays is $15,200

Jenna borrows $8,000 for college at a simple interest rate of 6%

she has 15 years to pay back the loan and interest

the interest can be calculated as follows

= 6/100 × 8,000

= 0.06 × 8000

= 480

= 480 × 15

= $7200

the total amount she pays can be calculated as follows

= $7200 +$8000

= $15,200

Hence the interest she pays is $7200 and the total amount is $15,200

please see the link below for more information

https://brainly.com/question/19334153?referrer=searchResults

For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
10
X
13

Answers

Answer:

8.31

Step-by-step explanation:

By Pythagoras Theorem,

(10)² + x² = (13)²

=> x² = (13)² - (10)²

=> x² = 169 - 100

=> x² = 69

=> x = [tex]\sqrt{69}[/tex]

=> x ≈ 8.31

Hope it helps :)

Please mark my answer as the brainliest

(x-7)(2x + 1) = 0

Factoring

Answers

Answer:

x=7,x=-1/2

Step-by-step explanation:

so x-7=0 or 2x+1=0

x=7 or 2x=-1

x=7,x=-1/2

if my answer helps please mark as brainliest.

Check whether the sequence is arithmetic. If​ so, find the common difference d. 2​, 7​, 12​, ​17, 22 ... Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice.

Answers

Answer:

The answer is A.

Step-by-step explanation:

The common difference is five because 7-2=5, 12-7=5, 17-12=5, 22-17=5, and so on.  

12.7
4. Mariana compró 46 pies de listón azul, para hacer adornos navideños, ¿cuántos
centímetros de listón tiene? (1 pie=0.3048 m)
1
3
14​

Answers

Answer:

3500cmnjdkslkrkdjdsllwldkkdkrkfjfrkrk

MATH math help thanks (pls provide workings)

Answers

Answer:

At the point where x = 2.

Step-by-step explanation:

First find the derivative which gives us the gradient of the tangent at any point on the curve:

y = 5x^2 - 16x

y' = 5*2 x^(2-1) - 16 x(1-1)

y' = 10x - 16.

y' is the gradient at point of coordinate x.

So when the gradient = 4:

4 = 10x - 16

10x = 20

x = 2.

Answer:

x=2

Step-by-step explanation:

Ryan bought a brand new car for $18,000. Its value depreciated at a rate of 1.2%.

Write a function to represent the value of the car as a function of time.

A. v(t)=18000(0.012)^t

B.V(t)=18000(1.2)^t

C.v(t)=18000(98.8)^t

D(t)=18000(0.988)^t

Answers

Answer:

A(t)= 18000(0.988)^t

Step-by-step explanation:

Given data

Ryan bought a brand new car for $18,000

Its value depreciated at a rate of 1.2%

Let us use the compound expression

A= P(1-r)^t

substitute

A= 18000(1-0.012)^t

A(t)= 18000(0.988)^t

Hence the expression is A(t)= 18000(0.988)^t

A function to represent the value of the car as a function of time is v(t) = 18000(0.988)^t

Exponential function

The standard exponential equation is in the form y = ab^x

b is the rate which can be growth or decline

If the value of b < 1, it is a depreciationIf the value of b > 1, it is an appreciation

If Ryan bought a brand new car for $18,000 and its value depreciated at a rate of 1.2%, the exponential equation represented by this statement is;t

v(t) = 18000(1-0.0012)^t

v(t) = 18000(0.988)^t

Hence a function to represent the value of the car as a function of time is v(t) = 18000(0.988)^t

Learn more on exponential function here: https://brainly.com/question/12940982

Choose the triangle in which angle 2 is not an exterior angle.
help me...new freinds?

Answers

Answer:

The third triangle

Step-by-step explanation:

The Exterior Angle is the angle a side of a shape and a line extended from the side next to it.

So for example, the first picture shows an exterior angle because a line was extended and it forms an angle with the triangle's side.

The second picture is still an exterior angle because the angle is formed with an extended line and the triangle's side.

The third photo shows an angle formed between a random line and the triangle's side. This is not an exterior angle because the angle is not formed with any side's extension.

The fourth photo is an exterior angle because it shows the angle being formed with an extension of a line from the triangle and a side of the triangle.

Hope this helps! Feel free to ask any questions! :)

Answer:

C the third triangle. Hope this helps

Step-by-step explanation:

2[(483 2 - 151] help

Answers

Answer:

1630

Step-by-step explanation:

Hope this helps

use elimination to solve and please show ur work.
4x + 3y = 6
2x - y = -2

Answers

Answer:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Point Form:

(0,2)

Equation Form:x=0, y=2

Answer:

(0,2)

Step-by-step explanation:

Multiply each equation by the value that makes the coefficients of  y  opposite.

3*2x-y=3*-2

Simplify

6x-3y=-6

Add the two equations

10x = 0

Divide both by 10 and simplify

x=0

Substitute x into the equations.

4*0+3y=6

3y=6

2

y=2

help please. 10 points to who help me​

Answers

9514 1404 393

Answer:

  64/109 ≈ 0.5872

Step-by-step explanation:

41 + 23 = 64 of the events have outcome E.

An additional 35 + 10 = 45 do not.

The probability of an outcome of E is 64 out of a total of 64+45 = 109 events.

  P(E) = 64/109 ≈ 0.5872

What is 46x15?? Thank you so much!

Answers

Answer:

i think its a uhhh i think its a carrot..

Step-by-step explanation:

Read the following bar graph and answer the following related questions :



a) Who got the maximum marks?
b) Who got the minimum marks?
c) The ratio between the marks obtained by Saroj and Vimla is _______.
d) How many girls have got marks of more than 100?

Answers

Answer:

who got the maximum marks? it would have been apala she got the high mark

9 strings of lights for $52.65 .how much does one string of lights cost ?

Answers

Answer:$5.85

Step-by-step explanation: you divide 52.65 divided by 9 and it will equal $5.85

Answer:

$5.85. Hope this helped! :')

Step-by-step explanation:

1. Use the algorithm method.                              

          5      . 8 5

9 |        5 2 . 6 5

            4 5 .  

                7 . 6

                7 . 2

                      4 5

                      4 5

2. Therefore, 52.62 divided by 9=5.85

5.85

Michael practiced his harmonica 3 times as long as Timothy did. Michael practiced for 126 minutes. Write an equation that represents the relationship between the amount of time Timothy practiced x and the amount of time Michael practiced.

Answers

Answer:

126 = 3x

Step-by-step explanation

your equation is: 126=3x

MULTIPLE CHOICE: Choose the BEST ANSWER. The equation C = 5n represents the cost “C” in dollars for “n” caps that advertise the walkathon. Which of the following ordered pairs could represent a number of caps and the cost for that number of caps, (n, C)?
A. (0 , 5)
B. (3 , 15)
C. (15 , 60)
D. (5 , 1)

Answers

Answer:

c

Step-by-step explanation:

Which are linear pairs? AngleBAC and AngleCAE AngleCAE and AngleBAF AngleCAE and AngleFAE AngleCAF and AngleBAE AngleFAD and AngleEAD

Answers

A and C

A- AngleBAC and AngleCAE

C-AngleCAE and AngleFAE

Step-by-step explanation:

Edg2021

Answer:

The answer is  A. AngleBAC and AngleCAE and C. AngleCAE and AngleFAE

Step-by-step explanation:

Got it right on the assignment.

Help I'm justing learning about this and I don't know what to start or do​

Answers

it’s C!! don’t listen to the first answer. all you have to do it count how many zero’s there are

Find the circumference of the circle shown: 10 ft

Answers

Answer:

31.42

Step-by-step explanation:

equation for solving is C= π d

circumference is  π x diameter

so therefore the new equation is π x 10

3.14 (π) x 10 (d) = 31.42

Cathy is playing a game with a set of 24 cards equally divided into 4 colors (red, green, blue, and yellow).



Find the probability of her randomly selecting a red card, not replacing it, and then selecting another red card.


A.
image

B.
image

C.
image

D.
image

Answers

Answer:

1/20

Step-by-step explanation:

P(red,red) = 4/16 x 3/15 = 1/4 x 1/5

Answer:

6/24

5/24

Step-by-step explanation:

count how many cards there are(24) then Find out how many red cards there are(4/24=6

Task 4:

A carnival attraction tests your strength by how far in the air

you can drive a weight with a hammer. If the weight

reaches 15 feet you win a prize! The equation

h = -1612 + 317 + 2 gives the height h of the weight t seconds

after you hit it.

A: How long is the weight moving?

B: What was the weight's maximum height?

C: Did you win a prize? How do you know?

Answers

B i think i am sorry if it is not right but i am pretty sure i am right tho

Last week, Naomi set a new personal record for running the mile. She beat her previous record by 14 seconds. The time change from her previous record can be represented by.____
zero
a positive rational number
a negative rational number


brainlyist for the correct answer

.

Answers

Answer:

a negative rational number

Step-by-step explanation:

I'm pretty positive this is the answer, but its worded strange in my opinion

Which event leads to Mio regaining her confidence?
A.
She notices a look on her mother's face that helps her feel prepared.
B.
Her brother gives her an encouraging look that boosts her confidence.
C.
She recalls the times when her mother prepared her for the ceremony.
D.
The smell of the matcha tea reminds her that she was always ready.
this is language arts by the way and im in 8th grade

Answers

Answer:

B.

Step-by-step explanation:

It says that when her brother gives her an encouraging look, it boosts her confidence. So, I would assume it'd be that one.

Answer:

C.

She recalls the times when her mother prepared her for the ceremony.

can someone please help ​

Answers

Answer:

C

Step-by-step explanation:

We can use the pythagorean theorem (A^2 + B^2 = C^2) To solve this question.

For answer A, we add 6^2 (36) and 8^2(64) to get 10^2 (100). This is a right triangle.

For question B, we add [tex]\sqrt{3}[/tex] ^2 (3) and [tex]\sqrt{8}[/tex]^2 (8) to get [tex]\sqrt{11}[/tex]. This is a right triangle.

For question C, we add 3^2 and 5^2 to get [tex]\sqrt{34}[/tex]. This is not a right triangle.

Which choice below lists all of the square roots of the number 100?
A. V10-10
C. 10,-10
B. 10
E. 50,-50
D. -10

Answers

Answer:

c. 10, -10

Step-by-step explanation:

10x10=100

-10x-10=100

Answer:C

Step-by-step explanation: when doing the square root of 100 it’s 10 but -10 times -10 is also 100 because of double negatives


A smartphone costs $250. Sales tax is 5%. What is the total cost, including tax?

Answers

Answer:

ima guess $262.50

Step-by-step explanation:

Kyle found that
31/97 = 0.3196. Without doing any computation, explain how we know

that Kyle is wrong.

I need the answer really quickly!!!

Answers

Answer:

The answer actually rounds to 0.3196, but the computation is so long, we just count it as 0.3196. The real answer would be 0.31958762886.

Step-by-step explanation:

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