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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 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

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

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

Answers

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

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. 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

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

Answers

Answer: B

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

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!!

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

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

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 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

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:

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

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

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

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:

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

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.

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

Helllpppppppppppp fast this

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°

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..

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

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.

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

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

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.

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

Answers

Answer:

yes

Step-by-step explanation:

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.

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Can someone pls answer my last two questions? Mason has a full bag of chocolate candies. He takes out all 38 of the green ones, which is 20% of the total number of chocolate candies in the bag. What is the total number of chocolate candies that Mason started with in the bag? Complete the chart by dragging the appropriate descriptors from the choice into the appropriate boxes to show the separation of powers established by the United States Constitution. Which of the following ratios are equivalent?O A. 5:7 and 10:12O B. 2:3 and 12:20O C. 6:7 and 18:21O D. 8:9 and 32:27 please help ill mark brain ty!!! What type of poem has five syllables on the first line, seven on the next, five on the last, and is usually about nature or the seasons?LimerickHaikuCinquainSonnetBRAINLIEST! Complete the statement with , or =. ___ 1 What is the importance of using locally available resources in creating art? What is the oxidation number for S in the compound SO3? (Recall that O has an oxidation number of 2.) A. 0 Reasonsssssssss..... What is the new price? Original Price: $14 Marked down: 15% New Price: Elcida ____________________ el carro muy bien.a.conducab.conducas These students that fail a single time, will withdraw (drop) from the program the month following their failure; ex. J. Doe fails Month 3, J. Doe withdraws before the start of Month 4. Sally's cell phone bill os expected to increase by 7.5% next year . If b represnts the current bill, which expression represent the expected cost of the cell phone bill next year? The last two chapters of Revelation describe:the judgment of the wicked deadtribulation on the earth.Christ's thousand-year reign upon the eartha new Heaven and a New Earth Water is an essential molecule to life on Earth. Which of the following is not a property of water that is critical to biological life?1. surface tension 2. density3. temperature 4. viscosity On December 31, Caper, Inc., issued $250,000 of eight percent, ten-year bonds for $218,844, yielding an effective interest rate of ten percent. Semiannual interest is payable on June 30 and December 31 each year. The firm uses the effective interest method to amortize the discount.Required Prepare an amortization schedule showing the necessary information for the first two interest periods. Why is a parallelogram a type of trapezoid? Problem #answeri:20 m16 m16 m16 mWork: HELP ME ASAPPPPPPPPPPPPPPP