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Answers

Answer 1

Given:

The expression is:

[tex]\dfrac{15m^2-3}{3m-1}[/tex]

To find:

The simplified value of the given expression.

Solution:

We have,

[tex]\dfrac{15m^2-3}{3m-1}[/tex]

On dividing, we get

[tex](3m-1)|\overline{15m^2+0m-3}|5m+\dfrac{5}{3}[/tex]

          [tex]-(15m^2-5m)[/tex]

              [tex]\overline{\quad \quad -5m-3}[/tex]

                    [tex]-(5m-\dfrac{5}{3})[/tex]

                       [tex]\overline{\quad \quad -\dfrac{4}{3}}[/tex]

Here, quotient is [tex]5m+\dfrac{5}{3}[/tex]  and the remainder is  [tex]-\dfrac{4}{3}[/tex].

Therefore, [tex]\dfrac{15m^2-3}{3m-1}=5m+\dfrac{5}{3}-\dfrac{4}{3(3m-1)}[/tex].


Related Questions

A circular pool has a
circumference of 65.94 ft.
What is the pools diameter?

Answers

Answer: 20.989353895 or round it up to 21

Step-by-step explanation:

If we want to find a diameter of a circle and given a circumference, we divide the circumference by pi

so 65.94 divide by pi = 20.989353895

how many times does 91 go into 15???

Answers

Answer:

18.2

Step-by-step explanation:

divide 91 by 5

x x x x x. x x x x x x x x x x xx. x

HELP ME PLEASE I'll give brainless.

Answers

∠IJG = ∠FGE (they are corresponding angle)

So, ∠FGE = 50°

Answer:

∠FGE is also 50°

Step-by-step explanation:

they are corresponding angles.

Find the smallest side of CDE?

Answers

Answer:

CE

Step-by-step explanation:

The smallest side is opposite the smallest angle.

The smallest side is CE

The table shows the heights of some United States
waterfalls. What is the height of each waterfall?

Answers

Answers:

In order: 620, 256, and 212

Explanation:

2^2 • 5 • 31
4 • 5 • 31
20 • 31
620

2^8
2 • 2 • 2 • 2 • 2 • 2 • 2 • 2
4 • 4 • 4 • 4
16 • 16
256

2^2 • 53
4 • 53
212

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Answers

Answer:

None of he choices are correct. Now before you say I'm wrong, look at any one of the unknown angles. You can plainly see that they each are greater than 90 °.

x = 120°

Step-by-step explanation:

5 sides

(180 x 5) - 360 = 540° total of interior angles

540 - 90 - 90 = 360° total for the 3 unknown angles

x = 360/3 = 120°

I need help plzzzzzzzzzzzzjdbfhrrhebehdbzzzzzzzzzzzzzzzz

Answers

Answer:A

Step-by-step explanation: im not too sure but i think 1-2/5=3/5 which would be red so

Answer:

The answer to this is a because it has a sequence of three

Sarah adds 2 to her shells each week. which pattern could show how many shells Sarah has each week?

Answers

Answer: You can add 2 shells each week so you can count by 2's or multiply 2 to each week.

Step-by-step explanation:

2x1=2

2x2=4

2x3=6

2x4=8

2x5=10

2x6=12

2x7=14

2x8=16

2x9=18

2x10=20

etc..

You answer 82% of the questions correctly on a 50-question test. How many questions do you answer incorrectly

Answers

So if each question you miss would drop the percent by 2% then you would missed 9 questions
Answer:9 questions answer incorrectly

the questions are in the pictures


REAL ANSWERS ONLY PLEASE :) thank you

Answers

the Anser un the Fire one is B and the answer on the 2nd one is A

please look at picture. i will give brainliest to the correct answer!!!

Answers

Answer:

N = 30

Step-by-step explanation:

30 divided by 10 is three. Three plus three equals 6.

A sphere has a radius of 12 inches. What is its volume

Answers

Answer:

26899 in³

Step-by-step explanation:

The volume of a sphere of radius r is V = (4/3)πr³.

If the radius is 12 in, then the volume is V = (4π/3)(12 in)³, or approximately 26899 in³

You answer 82% of the questions correctly on a 50-question test. How many questions do you answer incorrectly

Answers

Answer:

If you had a 50 question test and a grade of 82% then you would have gotten 9 questions wrong and 41 correct anwsers.

PLEASE HELP I REALLY DONT UNDERSTAND

Answers

Answer:

x = 1

Step-by-step explanation:

If you plug in 1 in both equations you will get 3 as your answer as it is the intersection of those two functions.

Find the area of a triangle​

Answers

Answer:

B.17.5cm²

Step-by-step explanation:

S=a+b+c/2=

5+8+7/2=10

S=10

Area of the triangle=[tex]\sqrt{3(5-a)(5-b)(5-c)}[/tex]

⇒[tex]\sqrt{10(10-5)(10-8)(10-7)}[/tex]

⇒[tex]\sqrt{10*5*2*3}[/tex]

⇒[tex]\sqrt{300}[/tex]

⇒17.5cm²

hope it helps...

have a great day!!

i just want some help please :( I’m tired of all these links .

Answers

Area of square is base times height my skills in math can only help you with this sorry

Are the two triangles similar to one another? *
1 point

Answers

Answer:

yes

Step-by-step explanation:

Valerie watched a movie for 110 minutes During that time Julie read a book fot 2 hours whose activity was longer

Answers

Answer:

Julie

Step-by-step explanation:

A 110 minute movie is 1 hour and 50 minutes so julie's two hour long book is longer

Answer:

2 hours= 120 minutes

120>110 Therefore Julie had longer activity

Step-by-step explanation:

If the radius of a circle is 3, calculate the diameter.
also can anyone please explain how to do this? i would really appreciate it.

Answers

Answer:

The diameter would be 6

Step-by-step explanation:

the radius is half of a diameter, so you would have to double the radius to get the diameter

d=2r

=2(3)

=6

The diameter reaches across the circle, while the radius reaches only half way, so you would have to double the radius to get the diameter (2r)

sorry if this doesnt make sense

take care, stay safe, be careful, and live

stay safe

-Ken Ken (kenma #3)

Please help. Thank you

Answers

Answer:

A

Step-by-step explanation:

look where the plot is Set 1 is at 8 and Set 2 is at 10. obviously 10 is greater than 8

Sandy invest $35,000 into a business. If she on 16% of the business, what is the total work for business?

Answers

5600 I think although I don’t understand completely what the question is aski by

Please help due soon!!

Answers

Answer: [(3/4)π] in² or (0.75π) in²

Step-by-step explanation:

Here, we are asked to find the area of a sector. So we are going to use the formula: A=πr²(θ/360)

--------------------------------------------------------------

Given

r=3 in

θ=30°

Solve

A=πr²(θ/360)

A=π(3)²(30/360)

A=9π(1/12)

A=[(3/4)π] in²

A=(0.75π) in²

Hope this helps!! :)

Please let me know if you have any questions

Could someone help? I got my answer, but I want to check if I’m right.

Answers

Hope it helps you........

A 40-meter-long blade of a wind turbine makes one complete revolution in 10 seconds. To the nearest tenth, the linear velocity of the blade is meters per second.

Answers

Answer:

25.13 m/s

Step-by-step explanation:

Linear velocity = Distance / time

The distance = Circumference of turbine = 2πr

Radius, r = 40 m

Circumference= 2 * π * 40 = 251.327

The linear velocity is thus :

Circumference / time

= 251.327m / 10s

= 25.13 m/s

How can you determine the part of an hour that is 15 minutes?

Answers

Answer:

You'll need to convert the minutes part to hours. 15 minutes times 1 hour per 60 minutes will make the conversion to hours and minutes will cancel out. 0.25 hours times 60 minutes per 1 hour = 0.25 hr × (60 min/ 1hr) = (0.25 × 60) min = 15 minutes.

Step-by-step explanation:

A national study report released by the Center for Studying Health System Change (HSC) in 2010, indicated that 20.9% of Americans were identified as having medical bill financial issues. Many people in families with problems paying medical bills in 2010 experienced severe financial consequences from their medical debt, with about two-thirds reporting problems paying for other necessities and a quarter considering bankruptcy, the study found. What if a news organization randomly sampled 400 Americans from 10 cities and found that 90 reported having such difficulty. A test was done to investigate whether the problem is more severe among these cities. The result of this test is ________.

Answers

Answer:

The result of this test is 0.2156

Step-by-step explanation:

Given the data in the question;

The proportion of Americans having medical bill financial issues is ;

p = 20.9% = 0.209

CLAIM;

The problem is more severe among the cities

so

H₀ : p = 0.209

H₁ : p > 0.209       { this is our claim }

population n = 400

number of people that reported difficulty x = 90

so

sample proportion p" = x / n = 90 / 40 = 0.225

Test Statistics;

z = [ (p"-p) / √( (p(1-p))/n ) ]

we substitute

z = [ (0.225 - 0.209) / √( (0.209(1-0.209)) / 400 ) ]

z = [ 0.016 / √0.0004132976 ]

z = [ 0.016 / 0.0203297 ]

z = 0.787

P-VALUE

p-value = P( Z ≥ z )

p-value = P( Z ≥ 0.787 )

p-value = P( Z ≤ -0.787 )

from normal distribution table;

p-value = P( Z ≤ -0.787 ) = 0.2156

p-value = 0.2156

Therefore, The result of this test is 0.2156

The graph represents the length and
I height of a wheelchair ramp. Find the
slope of the ramp.

Answers

Answer: 1/4

Step-by-step explanation: Take point (1,1) put the rise (2) over the run (8) and then simplify.

please help if you can!!!!
I promise I will make brainliest!!!!​

Answers

Answer: B

Step-by-step explanation: Hope this help :D

Find the approximate length of the line AB PLZZZZZZZZZZZZZZZZZZ HELPPPPPP

Answers

Answer:

Approximate length of line AB is 8.6

Step-by-step explanation:

Input Data :

Point 1 (xA, yA) = (8, 2)

Point 2 (xB, yB) = (3, 9)

Objective :

Find the distance between two given points on a line?

Formula :

Distance between two points = √(xB − xA) ^2 + (yB − yA)^2

Solution :

Distance between two points = √(3 − 8) ^2 + (9 − 2) ^2

= √(−5) ^2 + 7^2

= √25 + 49

= √74

= 8.6023

Distance between points (8, 2) and (3, 9) is 8.6023

hope this helps and is right :)

Answer:

First choice

12.0

Step-by-step explanation:

Make a right triangle, drawing straight lines, down from point A and left from point B. Use the pythagorean theorum to solve.

I will use "x," "y," and "z" as sides of the triangle as to not confuse between points a and b.

Line AB is line z

x^2 + y^2 = z^2

8^2 + 9^2 = z^2

64 + 81 = z^2

145 = z^2

(find square roots of both)

12.0416 = z

John has 10 coins in his pocket that are worth $1.60. He has some quarters, some dimes, and some nickels.
which combination of coins could john have in his pocket?
A 3 quarters, 4 dimes, 3 nickels
OB. 4 quarters, 3 dimes, 3 nickels
OC. 5 quarters, 2 dimes, 3 nickels
OD. 6 quarters, 2 dimes, 2 nickels

Answers

Answer:

its C :)

Step-by-step explanation:

so 5 quarters is 1 dollar and 25 cents then add 2 dimes its 1 dollar and 45 cents then u add 15 because of 3 nickles and so it makes it 1 dollar 60 cents

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