What is the value of n for the equation?

What Is The Value Of N For The Equation?

Answers

Answer 1

Answer:

n = -10

Explanation:

[tex]\Rightarrow \sf \dfrac{1}{n} +\dfrac{4n+16}{n^2-6n} =\dfrac{4}{n-6}[/tex]

Factor the common term

[tex]\Rightarrow \sf \dfrac{1}{n} +\dfrac{4n+16}{n(n-6)} =\dfrac{4}{n-6}[/tex]

Make the denominator same

[tex]\Rightarrow \sf \dfrac{n-6}{n(n-6)} +\dfrac{4n+16}{n(n-6)} =\dfrac{4}{n-6}[/tex]

Join the fractions

[tex]\Rightarrow \sf \dfrac{n-6+4n+16}{n(n-6)}=\dfrac{4}{n-6}[/tex]

simplify the following

[tex]\Rightarrow \sf \dfrac{5n+10}{n(n-6)}=\dfrac{4}{n-6}[/tex]

cross multiply

[tex]\Rightarrow \sf\left(5n+10\right)\left(n-6\right)=n\left(n-6\right)\cdot \:4[/tex]

cancel out common term

[tex]\Rightarrow \sf\left(5n+10\right)=4n[/tex]

exchange sides

[tex]\Rightarrow \sf 5n-4n=-10[/tex]

simplify

[tex]\Rightarrow \sf n=-10[/tex]


Related Questions

What is the value of x?

A. 10.4
B. 52
C. 61.6
D. 92

Answers

Answer:

A. 10.4

Step-by-step explanation:

180-128=52÷5=10.4

At the beginning of each month, $200 is deposited into a retirement fund. The fund earns 6% annual interest, compounded monthly, and paid into the account at the end of the month. How much is in the account if deposits are made for 10 years?

Answers

Answer:

this one hard

Step-by-step explanation:

Average Allowance Amount $20, $15, $10, $5 with frequency ll, 5, 10, 3. What is the range of the allowance amounts?

Answers

Answer:

$15

Step-by-step explanation:

Range = Highest number- Lowest number

Range=20-5

=$15

40 points!!! Please help me solve

Answers

Answer:

34.6

Step-by-step explanation:

In this triangle we have an angle which is 38° and the side opposite to it which is 27 and we have to find the adjacent side

There is only one formula which have these two sides

tan

tan∅ = opposite ÷ adjacent

tan 38° = 27 ÷ x

x = 27 ÷ (tan 38°)

x = 34.56

x≈ 34.6

sally picks seashells by the seashore.she lost 17 of them on her way home.with the remaining seashells,she planned to fill 5 jars with the same number of seashells in each.how many seashells did she originally pick?

Answers

Answer:

5

Step-by-step explanation:

The length of a rectangular field is 31 meters and the breadth is 14 meters, outside it a 2 meter wide path is made all around, what will be the cost of laying sand on this path at the rate of 7 per square meter

Answers

Cost of laying sand on this path = Rs. 1372 at the rate of Rs. 7 per sq. m

Step-by-step explanation:

[ refer to attachment ]

Area of field + path = L × B

=> 35 × 18

=> 630 m² -------------(1)

Area of field = L× B

=> 31 × 14

=> 434 m² --------------- (2)

Area of path = area 1 - area 2

=> 630 - 434

=> 196 m²

Given Rate = Rs. 7/ m²

If cost of 1m² = Rs. 7

Cost of 196m² = 7×196

=> Rs. 1372

Question 1-3
Which gives the exact value of the equation 15x=3?

Answers

Answer:

The value of x in 15x=3, is 1/5 or 0.2

need help.. again PLEASE HURRY 100 POINTS

Answers

Answer:

I think it might be 156 square milimeters. I could be totally wrong though.

Step-by-step explanation:

Help with a exit ticket

Answers

Answer:

   4. 132°

   5. 41°

Step-by-step explanation:

Q4

The arc length is twice the measure of the inscribed angle∡RP = 68° × 2 = 132°

Q5

2∠ABC = ∡AC2(5x + 11) = 16x - 2610x + 22 = 16x - 2616x - 10x = 22 + 266x = 48x = 6∠ABC = 5(6) + 11∠ABC = 41°

mRP

The angle will be twice the m<Q

So

it's

2(68)136°

#2

2(5x+11)=16x-2610x+22=16x-2648=6xx=8

m<ABC

5(8)+1140+1151

what is the area of the regular polygon shown below?

Answers

The answer is: 1372 in. squared

Because the apothem will always be half of the length of one side. The length of one side is 28 in.

The formula for the area is:
Area = (number of sides × length of one side × apothem)/2

Working out:
A = (7 times 28 times 14) divided by 2 = 1372 in. squared

Hope this helps!
Please give Brainliest!

can you please help?

Answers

(-2,4) (0,4) (-2,7) are the co ordinates

It was a busy evening at the restaurant. Ron waited on 48 tables for 3 hours. Joe served 45 customers in 5 hours. Sue waited on 34 tables for 2 hours. Who had the busiest day serving the most number of customers per hour?​

Answers

Answer:

Sue

Step-by-step explanation:

34/2= 17 which is the highest out of them all.

I need help

Bob scuba dives in the ocean.

He is 150 feet below the surface of the water.
• He swims up toward the surface of the water at a rate of 15 feet for every 30 seconds.
After 2 minutes of ascending, he stops to take a break. How far away is Bob, in feet, from the surface of the water?

Answers

Using proportions, it is found that Bob will be 90 feet from the surface of the water after 2 minutes.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, every half-minute, he ascends 15 feet. Hence in 2 minutes = 4 half-minutes, he will have ascended 15 x 4 = 60 feet.

He is 150 feet below the surface of the water, hence after 2 minutes he will be 150 - 60 = 90 feet from the surface of the water.

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Find the size of the angle marked a

Answers

Answer:

57°

Step-by-step explanation:

Given line is straight line

then whole angle is 180°

then 180 - 123 = a = 57

Answer:

57°.

Step-by-step explanation:

What we know is:

One angle is 123°.

We don't know:

angle a°.

So, we add both angles up to 180°:

123 + a = 180.

Lets solve 180 - 123:

180 - 123= 57a° = 57°.Angle a° is 57°.

Solve the following simultaneous equations in ELIMINATION way​

Answers

Answer:

Here is the solution...hope it helps:)

a bag of suger costs $2.12 & contains 145 tablespoons of suger. what is the cost per tablespoon?

Answers

I don’t think it’s right, but I got $0.02

Answer:

0.01462069 cost per tablespoon

Step-by-step explanation:

a bag of sugar costs $2.12

145 tablespoons of sugar

145:2.12 is the ratio

1:x where x represents per tablespoon cost

2.12 / 145 = 0.01462069 which rounds up to 0.02

Check if it correct:

145 x 0.01462069 = 2.12

What is the measure of angle θ in the graph?

angle drawn in standard position on the unit circle, extending counterclockwise in the second quadrant

Group of answer choices

−135°

45°

135°

225°

Answers

The measure of the angle θ in the graph as described in the task content is; 135.

What is the measure of angle θ in the graph?

From the task content, it follows that we are required to determine the measure of angle θ in the graph as described.

Since, angle θ transverses the first quarter in the counterclockwise direction, it follows that the measure of angle θ by convention is; 90+45 = 135⁰.

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( 9 × 10^ − 7 )^ 2
standard form at the end please

Answers

Answer:

Step-by-step explanation:

Answer: 6889.

( 9 × 10^ − 7 )^ 2

standard form 6889.

What is the approximate value of the correlation coefficient for the given graph?
Price of the Car ($1,000)
40
35•
30. •
25. •
20. •
15. •
10. •
5. •
0 1 2 3 4 5 6 7
Number of Years

A. 1
B. 5
C. 3
D. -1

Answers

Answer:

the answer is a bc the 1 in this makes sense

Step-by-step explanation:

thats is the best answer i think

The approximate value of the correlation coefficient for the given graph is 5.

To calculate the correlation coefficient, we first need to determine the equation of the line that passes through the points (0, 35) and (6, 5).

The formula for the equation of a straight line is y = mx + b, where "m" is the slope and "b" is the y-intercept.

Given two points (x₁, y₁) = (0, 35) and (x₂, y₂) = (6, 5), we can find the slope "m" as follows:

m = (y₂ - y₁) / (x₂ - x₁)

m = (5 - 35) / (6 - 0)

m = -30 / 6

m = -5

Now that we have the slope "m" as -5, we can find the y-intercept "b" by using one of the given points, say (0, 35):

y = mx + b

35 = -5(0) + b

35 = b

So, the equation of the line is y = -5x + 35.

Now, we can use this line to calculate the correlation coefficient "r" for the given graph.

The correlation coefficient "r" is given by the formula:

r = ∑((xᵢ - x')(yᵢ - y')) / √(∑(xᵢ - x')² ∑(yᵢ - y')²)

where (xᵢ, yᵢ) are the data points, x' is the mean of the x-values, ȳ is the mean of the y-values, and ∑ represents the sum.

Without actual data points, we can still deduce the correlation coefficient from the slope "m" of the line. The correlation coefficient for a linear relationship is equal to the square root of the coefficient of determination (R-squared), which is the square of the slope "m" in this case.

So, the correlation coefficient (R) is:

R = √((-5)²) = √25 ≈ 5

Therefore, the approximate value of the correlation coefficient for the given graph is 5.

The correct option is: B. 5

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Complete Question:

What is the approximate value of the correlation coefficient for the given graph?

A. 1

B. 5

C. 3

D. -1

Multiply
[(x-1)/(x^2-2x-3)].[(3x-9)/(x+2)]

Answers

Answer:

3(x -1) / (x + 1)(x + 2).

Step-by-step explanation:

(x-1)/(x^2-2x-3)].[(3x-9)/(x+2)

Factoring the denominator  and 3x - 9:

= (x - 1) / (x + 1)(x - 3)  *  3(x - 3) / (x + 2)

The (x - 3)'s  cancel out, so we have:

(x - 1)/(x + 1) * 3 / (x + 2)

= 3(x -1) / (x + 1)(x + 2).

A tractor tire has a radius of 28 inches. If the tire is rotating at 80 degrees per second (i.e. it takes 9/2 seconds to make one revolution), how fast is the tractor traveling in miles per hour? Round your answer to the nearest 0.01 mph. Do not include units in your answer.

Answers

The speed of the tractor's tire by means of the information given is; 547.06.

How fast is the tractor moving?

According to the task content;

It follows that the radius of the tire is; 28 inches and the period taken for one revolution is; 4.5s.

On this note, the speed of the tractor is;

Speed = (πr²) ÷ 4.5

Speed = (3.14×28²)/4.5

Speed = 547.06

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I can not figure out the length of xy

Answers

Answer:

The segment bisector is MN

Step-by-step explanation:

MN divides XY into two equal lengths

32.


so, the two dashes on the lines, the | represent those two portions are equal. also it alr says that MN is the segment bisector, and bisector means that something is split in half.


so, this basically means we can set 3x+1 and 8x-24 equal to each other


3x+1=8x-24

so we need to split up the numbers so x is on one side. the easiest way to do this is to move the -24 to the other side. to do this, we need to balance the equation. if we move one thing to one side, we need to flip the sign. so -24 is negative, so we need to make it +24 and add it to 1


3x+25=8x


now, move 3x to the other side, but since it’s positive, make it -3x. subtract it from 8x


25 = 5x


now, x is attached to 5 by multiplication so we need to do the opposite of multiplication, division. divide 25 by 5 to isolate x


5 = x



so since x = 5, we can plug it back in to any of the segments ill pick 3x+1


3(5)+1


that equals 16


since we know both lines are equal in length, we can double 16, which equals 32

How to multiply 10x 3 1/2

Answers

Answer:

35

Step-by-step explanation:

put 3 1/2 as a decimal = 3.5, now move the dot one place to the right to times by ten = 35.

What’s 2 x 2^18 divided 329 + 512789

Answers

Answer:

1.021769

Step-by-step explanation:

(2 x 2^18 )/(329 + 512789)

=(2 x 262.144)/(513118)

=(524.288)/(513118)

=1.021769

Drag each tile to the correct box. Graph the functions as transformations of f(x)=x^2. Arrange the parabolas with respect to the position of their vertices from left to right. 1: y=f(x)
2: y=f(x-4)
3: y=f(x+3)
4: y=f(x-7)
5: y=f(x+2)
6:y=f(x-1/2)

Answers

If a constant is added to a variable then the graph gets shifted toward left and vice-versa. Then the graphs are shown below.

What is the parabola?

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

The parabola is given below.

f(x) = x²

Then the parabolas with respect to the position of their vertices from left to right will be

1: y = f(x) = x²

2: y = f(x - 4) = (x - 4)²

3: y = f(x + 3) = (x + 3)²

4: y = f(x - 7) = (x - 7)²

5: y = f(x + 2) = (x + 2)²

6: y = f(x - 1/2) = (x - 1/2)²

The graph of the parabola is given below.

More about the parabola link is given below.

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HELP! I'll give brainliest.

2x+6 ≤x+3<3x+11

Solve the inequality, and please show your work. Thanks in advance!

Answers

Answer:

  -4 < x ≤ -3

Step-by-step explanation:

The compound inequality needs to be separated into its two parts in order to obtain a solution.

__

We can do a little preliminary work to make the solutions easier.

  2x +6 ≤ x +3 < 3x +11 . . . . . given

  x +3 ≤ 0 < 2x +8 . . . . . . . . subtract x+3

left side

  x +3 ≤ 0

  x ≤ -3 . . . . . . . subtract 3

right side

  0 < 2x +8

  0 < x +4 . . . . divide by 2

  -4 < x . . . . . . subtract 4

solution

Now, we can rearrange these back into a compound inequality.

  -4 < x ≤ -3

_____

The graphing calculator shows the same solution.

3√6/√15
Solve it using radicals please!!!

Answers

Answer:

3√10/5

Step-by-step explanation:

[tex]\frac{3\sqrt{6} }{\sqrt{15} }[/tex]

Rationalize √15

[tex]\hookrightarrow \frac{3\sqrt{6} }{\sqrt{15}}\times\frac{\sqrt{15} }{\sqrt{15} } \\\\\hookrightarrow \frac{3\sqrt{6} \times\sqrt{15} }{15} \\\\\hookrightarrow \frac{3\sqrt{90}}{15} \\\\\hookrightarrow \frac{3\sqrt{10} }{5} \\\\[/tex]

“the product of 6 and
9 decreased by 8"

Answers

Answer:

46

Step-by-step explanation:

“the product of 6 and 9 decreased by 8"

“the product of 6 and 9" = 6 * 9

"decreased by 8" = - 8 (subtract 8 from whatever, in this case 6 * 9)

“the product of 6 and 9 decreased by 8" = 6 * 9 - 8 = 46

What is the solution of x = 2 + StartRoot x minus 2 EndRoot?

Answers

Answer:

x = 2 and x = 3

Step by step explanation:

[tex]~~~~~~x = 2 +\sqrt{x-2}\\\\\implies x -2 =\sqrt{x-2}\\\\\implies (x-2)^2 = x-2 ~~~~~~~~~~~~~~~;[\text{Square both sides}]\\\\\implies x^2 -4x+4-x +2 = 0\\\\\implies x^2-5x+6 = 0\\\\\implies x^2-3x-2x+6=0\\\\\implies x(x-3)-2(x-3) = 0\\\\\implies (x-2)(x-3) = 0\\\\\implies x =2,~~x = 3\\\\\textbf{Verifying solutions:}\\\\\text{For x =2,}\\\\2= 2+\sqrt{2-2} \implies 2 = 2~ \\\\ \text{So, x = 2 is a solution.}\\\\\text{For x =3,}\\\\3 = 2+\sqrt{3-2}\implies 3=2+1 \implies 3=3\\ \\[/tex]

[tex]\text{So, x = 3 is a solution.}[/tex]

If sample bias exists, then we can easily trust using the sample as representative of the
whole population. True or False

Answers

Answer:  False

Explanation:

If the sample is biased, then it does not represent the population. A biased sample favors one or more groups over others.

For example, if the sample consisted of only men, then the sample is biased toward men and leaves out women from the group. Hence, this sample does not represent everyone.

False, if an answer is biased it does not contain fact just opinion
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