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

Dana has to pay 30% tax on any income above £30,000 per year.
Dana is paid £45,000 annually.
Calculate the amount of money she receives after tax each month.

Answers

£45,000 x 0.3 = £13,500
£13,500 divided by 12 months = £1125
Dana’s tax £1,125
£45,000 divided by 12 months = £3750
Dana’s Income money each month is £3750
£3750 - £1125 = £2625
Dana’s makes £2625 after paying her tax

16 m - 14
???????????help

Answers

Umm... 16(m-14)?
16m-224

If it is 16m-14, I’m not sure how to solve without more information.

A bucket holds 2 1/2 gallons of water. Ryan fills it 3 1/4 times with the water from a barrel. How much water was in the barrel?

Answers

Answer:

8 1/8 gallons

Step-by-step explanation:

2 1/2 = 5/2

3 1/4 = 13/4

(5/2)(13/4) = 65/8 = 8 1/8 gallons

Which of the following constants can be added to x ^2 - x to form a perfect square trinomial?
1/4
1/2
1

urgent

Answers

Answer:

Its 1/4 boys dont worry i got you

Step-by-step explanation:

Mariah had 2 2/4 bags of soil to use in her garden. After her gardening she had 3/4 of a bag left. How much soil did she use?

Answers

Answer:

[tex]\frac{7}{4}[/tex] of a bag of soil

Step-by-step explanation:

Given: Mariah had [tex]2\frac{2}{4}[/tex] bags of soil to use in her garden. After her gardening, she had [tex]\frac{3}{4}[/tex] of a bag left

To find: quantity of soil used.

Solution:

Quantity of soil in the garden = [tex]2\frac{2}{4}=\frac{10}{4}[/tex] bags of soil

Quantity of soil left = [tex]\frac{3}{4}[/tex] of a bag

Quantity of soil used [tex]=\frac{10}{4}-\frac{3}{4}=\frac{7}{4}[/tex] of a bag of soil.

2) Richard, Henry and Gavin share some sweets in the ratio 4:1:3. Richard gets 7 more sweets
than Gavin. How many sweets does Henry get?​

Answers

Answer:

6

Step-by-step explanation:

Richard gets 7 more sweets than Gavin which would probably make Richard have the most so in total he should have around 8 whilst Gavin has 1 so right now we have 4:1:?. Basing off the fact that Richard would have the most sweets Henry would have to have 6 sweets to be able to divide half of it for 3. 4:1:3

What is the area of the composite shape?

Answers

I really don’t know dude just here for free points
Explanation: step by step

Can someone explain this

Answers

Answer:

Jatziry 10%, Kwa 11.1% , Miguel 12.5% , Gina 13%

convert all into percentages

Geometry
Help please

Answers

Step-by-step explanation:

14x+y=60

4x-6= 10

4x= 16

x= 4

56+y=60

y= 4

A water tank in the shape of a pyramid has a rectangular base with dimensions of 10 feet by 15 feet. The height of the rectangular pyramid is 12 feet. Water fills half the volume of the water tank. How many more cubic feet of water is needed to finish filling the water tank?
(Explanations are appreciated along with your answer.)

Answers

600ft³ will be the required volume

Volume of pyramid

The formula for calculating the volume of the rectangular prism is expressed as:

V = 1/3lwh

Given the following information

l = 10 feet

w = 15feet

h = 12 feet

Get the volume

V = 1/3(10 * 15 *12)

V = 1/3(1800ft³)

V = 600ft³

Hence 600ft³ will be the required volume

Learn more on volume of prism here: https://brainly.com/question/23963432

Because the graph below is misleading, which magazine appears to have about four times the circulation of circuitry today?
a. American Ampersand
b. Waffle all World
c. Fossil Week
d. None of them​

Answers

Answer:

A. American Ampersand

Step-by-step explanation:

Question is asking for what appears to be four times the circulation and American Ampersand appears to be four times the circulation.

Since the graph below is misleading, a magazine which appears to have about four times the circulation of circuitry today is: A. American Ampersand.

What is a graph?

A graph can be defined as a type of chart that is typically used for the graphical representation of data such as magazine circulation in a country, by using both the horizontal and vertical lines, which are called x-axis and y-axis respectively.

By critically observing the misleading graph above, we can deduce that American Ampersand is a magazine which appears to have about four times the circulation of circuitry today because its bar is the smallest among others.

Read more on graphs here: brainly.com/question/25875680

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hello please help me, i’m stuck on this one :(

Answers

Answer:

The second option, B.

[tex](x| -3< x \leq 2)[/tex]

Explanation:

Since the point on -3 is hollow, this means that -3 is not included in the equation. Therefore, -3 < x. Since the point on 2 is filled, this means that 2 is a valid number that is included in the equation. Therefore, [tex]x\leq 2[/tex].

Answer these two to get 20 points!!

Answers

25 and 28
Hope this helps!!!

Write an equation of a line that passes through the point (1, 2) and is perpendicular to the line y=-1/4x+2​

Answers

Answer:

y = 4x - 2 would be the equation

ou just purchased a brand new car for $45,000. The car depreciates by about 7% each year.



Which expression shows the value of the car in x years.


y=45,000(0.93)xy is equal to 45 comma 000 times 0 point 9 3 to the x th power

y=45,000(0.97)xy is equal to 45 comma 000 times 0 point 9 7 to the x th power

y=45,000(1.07)^xy=45,000( 1.0 7^x)

y=45,000(1.7)^x

Answers

Each year the car depreciates at a rate of 7% per year. Each year the car will depreciate by the amount of $3,150per/year.
3150(#of years) would give you the the amount if the cars worth in that time spand

Sketch the image of A (-3,5) after the described glide reflection.
Translation: (x, y)=(x - 2, y + 5)
Reflection: in y =4



Plz HELP me out I really don’t understand this!

Answers

Answer:

Translation (x, y) = (x - 2, y + 5)

(x, y) = (x - 2, y + 5)

(-3, 5) = (-3 - 2, 5 + 5)

(-3, 5) = (-5, 10)

So this means that point A' (-5, 10) is your translation of point A (-3, 5) .

Now let us look at the reflection. It says to reflect across the y = 4. Basically you will draw a horizontal straight line on 4. Count how many units is point A (-3, 5) is. Then do it on the other side of the line. Point A' (-3, 3) is reflected across y = 4 of point A (-3, 5).

Hope this helps, thank you !!

(multiple choice) plz help me!!

Answers

[tex]8 \sqrt{5} is \: the \: length[/tex]

Step-by-step explanation:

[tex]( {16})^{2} = ( {x})^{2} - ( {8})^{2} \\ 256 = {x}^{2} - 64 \\ 256 + 64 = {x}^{2} \\ \sqrt{320} = \sqrt{ {x}^{2} } \\ 8 \sqrt{5} = x[/tex]

-7 2/3 + (5 1/2) + 8 3/4 = Need the answer asap

Answers

Answer:

answer is 7898tI don't know either thank very much for the points though

Based on the information, determine which sides of quadrilateral ABCD must be parallel m angle A= 67°, m angle b = 120°, m angle c=73°, m angle d =100°

Answers

Answer:

None of the sides are parallel.

Step-by-step explanation:

Quadrilaterals are all figures or shapes bounded by four sides. Some common examples are: square, rectangle, trapezium, rhombus, parallelogram etc.

Two or more lines are said to be parallel, if none of the lines meet when extended till infinity. i.e they are at [tex]180^{o}[/tex] to one another.

Given a quadrilateral ABCD with the measures of angles as given, none of its sides would be parallel.

HELP ASAP!!!
Use Pythagorean Theorem to solve. Round to the nearest tenth •
33 cm
х
55 cm

Answers

Answer:

x= 44 cm

Step-by-step explanation:

[tex] {55}^{2} = {33}^{2} + {x}^{2} \\ {x}^{2} = 3025 - 1089 \\ {x}^{2} = 1936 \\ x = \sqrt{1936} = 44[/tex]

PLSS HELP the length of a rectangle is 3 meters greater than 2 times the width the perimeter of a rectangle is 30 m what is the length of the rectangle​

Answers

Answer:

Width: 4 meters. Length: 11 meters

Step-by-step explanation:

If you do it correctly, the length should be 3 more greater than 4*2. 4*2= 8 +3= 11. Your perimeter= 30 meters. 11+11 accounting for both long sides of the rectangle= 22. Accounting for both sides of the width, so 4*2=8 + our 22= 30 meters. Yw.

The length of the rectangle​ width 4 meters and length 11 meters.

If you do it correctly,

The length should be 3 more greater than

What is the perimeter of a rectangle?

P=2(l+w)

L= Length

W = Width

4*2. 4*2= 8 +3= 11.

Your perimeter= 30 meters.

11+11 accounting for both long sides of the rectangle= 22.

Accounting for both sides of the width,

So 4*2=8 + our 22= 30 meters.

Therefore we get the length of a rectangle is  11 meters.

To learn more about the perimeter visit:

https://brainly.com/question/19819849

NEED ANSWERS WILL MAKE BRAINLIEST!

Answers

Answer:

1

-4

none

none

6

3

min

2

-5

-2

max

-1

0

-5

none

none

Step-by-step explanation:

f(4) is just asking what the y value is when x=4 which is 1

f(-3) = -4

This has no minimum or maximum because the range is all real numbers (the y value goes to infintiy and negative infinity)

f(3)=6

f(0)= 3

This has a minimum because the lowest y value possible is not infinity (it's 2)

f(1)= -5

f(4)= -2

max= -1

f(-1)= 0

f(6)= -5

none

none


(a) An angle measures 25°. What is the measure of its complement?
(b) An angle measures 91°. What is the measure of its supplement?

Answers

Answer:

A) 65 degrees

B) 89 degrees

Step-by-step explanation:

Complementary angles always add up to 90 degrees whereas supplementary angles always add up to 180 degrees

Hope it helps :)

A quantity with an initial value of 6900 grows exponentially at a rate
of 40% every 8 hours. What is the value of the quantity after 2.75
days, to the nearest hundredth?

Answers

Answer:

Step-by-step explanation:

2.75 days * (24 hours)/day = 66 hours

6900(1.40)^(66/8) = 119,765.72

Answer:

110765.72

Step-by-step explanation:

Last week, John ran 10 miles. If John runs 35 percent farther this week, then how many more miles did he run this week?

Answers

10*.35=3.5 more miles

100% = 1.0
50% = .50
......

Dan invests £800 into his bank account.
He receives 5% per year simple interest.
How much will Dan have after 3 years?
Give your answer to the nearest penny where appropriate.​

Answers

Answer:

p=£800

r=5%

t=3years

Step-by-step explanation:

simple interest=ptr/100=£800×5×3/100=£120

Answer:

sorry dont know answer :C

Step-by-step explanation:

Trista has 7/8 of a yard of ribbon to use for making decorative frames . If you frame used 5/6 of a yard of ribbon , then how much is remaining

Answers

Answer:

[tex]\dfrac{1}{24}\ \text{yard}[/tex]

Step-by-step explanation:

Amount of ribbon Trista had is [tex]\dfrac{7}{8}\ \text{yard}[/tex]

Amount of ribbon used in the frame [tex]\dfrac{5}{6}\ \text{yard}[/tex]

Amount of ribbon remaining is

[tex]\dfrac{7}{8}-\dfrac{5}{6}=\dfrac{21-20}{24}[/tex]

[tex]=\dfrac{1}{24}\ \text{yard}[/tex]

The amount of ribbon remaining is [tex]\dfrac{1}{24}\ \text{yard}[/tex].

Can someone please help me?:)


i dont know how to do this question can you please explain how to

Answers

Answer:

84

Step-by-step explanation:

the perimeter is basically all the way round a shape

P=2l+2d2﹣l2 for the diagnol

Please help, will mark brainliest ​

Answers

Answer: 10

Step-by-step explanation:

Question A:

The formula to find the hypotenuse is c²=a²+b²

So you would insert the numbers into the formula which would be c²=8²+6²

8²=64

6²=36

36+64=100

So c²=100

Then you want to find c on its own so you have to square root 100.

The square root of 100 is 10.

You have to use this method for the rest of the triangles.

The hypotenuse of the triangles are solved

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the measure of sides of the triangle are

a)

a = 8

b = 6

Now , From the Pythagoras Theorem , The hypotenuse² = base² + height²

c = √ ( 8 )² + ( 6 )²

c = √100 ≈ 10

b)

a = 11

b = 7

c = √170 ≈ 13.0

c)

a = 13

b = 6

c = √205 ≈ 14.3

Hence , the hypotenuse of the triangles are solved

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https://brainly.com/question/16739377

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add 3 to h, then subtract 9 from the result

Answers

Answer:

3h-9

Step-by-step explanation:

you can't fit it into an equation because 1, i dont  a image of it and 2, you can't subtract a number from a coefficient/variable

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