Which of the following is equivalent to 30p^4q^3r + 42p^2r - 18p^2q^2r when it is completely factored?
A. 3pr(10p^3q^3 + 12p - 9pq^2)
B. 6(5p^4q^3r + 7p^2r - 3p^2q^2r)
C. 6p^2q^2r(5p^2q + 4)
D. 6p^2r(5p^2q^3 + 7 - 3q^2)

Answers

Answer 1
30p^4q^3r + 42p^2r - 18p^2q^2r 
= 6p^2r (5p^2q^3 + 7 - 3q^2)

answer
D. 6p^2r(5p^2q^3 + 7 - 3q^2)
Answer 2
The answer is:  [D]:  " 6p²r (5p²q³ + 7 − 3q²) " .
__________________________
Note:
__________________________
Given:
__________________________
30p⁴q³r + 42p²r - 18p²2q²r  ;

we can factor out a 

"6p²r" ;
_________________________________________________
to get:

" 6p²r (5p²q³ + 7 − 3q²) " ; which is:  "Answer choice:  [D]" .
_________________________________________________

Related Questions

I need help finding v

Answers

check the picture below.

surely you can solve for "v", right?

If you're going 80 miles per hour how long does it take to go 80 miles answer

Answers

an hour cause u go 80 per HOUR

what is 2.6 repeating as a fraction

Answers

2.6 repeating as a fraction would be 2 2/3

Evaluate the expression when =m6   m2-18

Answers

So first, we should substitute the variable m for the value that we are given. If m=6, then plugging in 6 for m will give us the equation 6(2)-18. Then, we will get 12-18. After subtracting 18 from 12, we will get -6 as an answer.

While traveling along a highway a driver slows from 24 m/s to 15 m/s in 12 seconds. What is the automobile’s acceleration? (Remember that a negative value indicates slowing down or deceleration)

Answers

We are given that:

vi, initial velocity = 24 m/s

v, final velocity = 15 m/s

t, time = 12 s

 

The formula for acceleration is:

a = (v – vi) / t

a = (15 – 24) / 12

a = - 0.75 m/s^2                                (deceleration)

Write the following linear equation in standard for: 2y = -8x - 18 ??
A.y = -4x - 9
B.8x + 2y = -18
C.2y + 18 = -8x
D.18 + 8x = -2y

Answers

The answer would be A. Because standard form is y=mx+b
2y = -8x - 18

y = -4x - 9   (divide 2 out of all)

A. is your answer

hope this helps

Find h(-1), h(0), and h(4) for the given function h(x)=-2x^2-4

Answers

h=-2²-4
h(-1)=-2-4=-6
h(0)=-4
So there are twoo answers -6 and -4

A train fare costs £23.55
All train fares are increased by 2.8%

Work out the new fare.
[2 marks]



Answer.......



4 A savings account pays 3.6% per annum simple interest.
Heidi puts £400 into the account.

How much will she have in the account after 5 years?
[2 marks]



Answer .............


5 In one week the mass of a puppy increases from 1.8 kg to 2.25 kg

Work out the percentage increase of the mass.
[2 marks]




Answer............

Answers

1)
23.55+23.55×0.028
=24.21

2)
The formula is
A=p (1+rt)
A future value?
P present value 400
R interest rate 0.036
T time 5years
A=400×(1+0.036×5)
A=472

3)
((2.25−1.8)÷1.8)×100=25%

Hope it helps!
Final answer:

To calculate an increase, multiply the original value by the percentage increase. For simple interest, use the formula Interest = Principal * Rate * Time. Percentage increase in mass can be found with the formula: [(Final mass - Initial mass) / Initial mass] * 100%. These methods result in a new train fare of £24.21, a bank balance after 5 years of £472, and a 25% increase in the puppy's mass.

Explanation:

1. To work out the new fare, we first need to calculate how much the fare has increased by. 2.8% of £23.55 is found by multiplying 23.55 by 0.028, which comes out to £0.66 (rounded to the nearest penny). Adding this increase to the original fare gives us a new fare of £24.21.

2. The simple interest can be calculated using the formula Interest = Principal * Rate * Time. In this case, Heidi's investment of £400 (the principal) is earning 3.6% (the rate) in interest every year for 5 years (the time). So, the interest Heidi earns equals £400 * 3.6% * 5 = £72. Adding this to the original amount gives us £472.

3. The percentage increase in the puppy's mass is calculated as follows: [(2.25 kg - 1.8 kg) / 1.8 kg] * 100%. So, the mass has increased by 25%.

Learn more about Percentage Calculations here:

https://brainly.com/question/329987

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In the set of real numbers, the first number less than -3 is -4.

True
False

Answers

Id Say True because -4 is less than -3 Because its going in negatives

The local park has 4 bike racks. Each bike rack can hold 15 bikes. There are 16Bikes in the bike rack’s. What expression shows the total number of empty spaces in the bike racks

Answers

e = 4 x 15 - 16 Let's create an expression. We have 4 bike racks e = 4 Each bike rack can hold 15 bikes e = 4 x 15 There are 16 bikes in the bike racks e = 4 x 15 - 16 So the value e will be the total number of empty spaces in the bike racks. The overall expression is e = 4 x 15 - 16

"The correct expression to show the total number of empty spaces in the bike racks is [tex]\( 4 \times 15 - 16 \).[/tex]

To arrive at this expression, we start by calculating the total capacity of all the bike racks combined. Since there are 4 bike racks and each can hold 15 bikes, the total capacity is [tex]\( 4 \times 15 \).[/tex] This gives us the maximum number of bikes that can be parked in all the racks.

Next, we subtract the number of bikes that are currently parked in the racks from the total capacity. There are 16 bikes parked. Therefore, the expression to find the number of empty spaces is:

[tex]\[ \text{Total capacity} - \text{Number of bikes parked} \][/tex]

Substituting the given numbers into the expression, we get:

[tex]\[ 4 \times 15 - 16 \][/tex]

This expression represents the total number of empty spaces in the bike racks. When evaluated, it will give us the number of spaces available for additional bikes to be parked."

\sqrt{6} + 3 \sqrt{6}

Answers

I think you mean the sqrt{6} + 3•sqrt{6}. If so, see attached picture.

cuharra studied Monday and Tuesday for her math test she spent a total of 120 minutes studying. she spend an extra 15 minutes on Tuesday. how long did she study for on Monday and on tuesday

Answers

Final answer:

Cuharra studied for 52.5 minutes on Monday and 67.5 minutes on Tuesday.

Explanation:

To find out how long Cuharra studied on Monday and Tuesday, we can set up an equation. Let's say C represents the amount of time she studied on Monday. According to the information given, on Tuesday she spent an extra 15 minutes studying, which means she studied for C + 15 minutes. The total time she studied was 120 minutes. So, we can write the equation as C + (C + 15) = 120.

Now, we can solve this equation to find the values of C and C + 15. Combining like terms, we get 2C + 15 = 120. Subtracting 15 from both sides, we get 2C = 105. Divide both sides by 2, and we get C = 52.5.

Therefore, she studied for 52.5 minutes on Monday and 52.5 + 15 = 67.5 minutes on Tuesday.

Final answer:

Cuharra studied for 52.5 minutes on Monday and 67.5 minutes on Tuesday to make a total of 120 minutes of study time over the two days.

Explanation:

The question involves solving for the number of minutes cuharra studied on Monday and Tuesday. Since the total study time for both days is 120 minutes and she studied 15 minutes extra on Tuesday, we can set up two variables to represent the study times on each day. Let x be the number of minutes studied on Monday, then x + 15 will be the number of minutes studied on Tuesday.

To solve for x, we set up the equation x + (x + 15) = 120. Simplifying, we get 2x + 15 = 120. Subtracting 15 from both sides gives us 2x = 105. Dividing both sides by 2, we find that x = 52.5. Therefore, cuharra studied for 52.5 minutes on Monday and 52.5 + 15 = 67.5 minutes on Tuesday.

To convert 3.4 hours into seconds which two ratios could you multiply by

Answers

60 min/1 hr
60 sec/1 min

3.4 x 60 = 204 min
204 x 60 = 12240 seconds

12240 seconds is your answer

hope this helps

A swimming pool can be filled by either or both of two pipes of different diameters. it takes the smaller pipe twice the time that the larger pipe takes to fill the pool. if water flows through both pipes it take 213 hours to fill the pool. how long will it take the larger pipe to fill the pool? [hint: let x be the amount of the pool filled by the small pipe in one hour]

Answers

By large pipe only it will take 319.5 hours to fill the pool.    

Step-by-step explanation:

Let r₁ be the rate of filling of small pipe, r₂ be the rate of filling of large pipe  and V be the volume of swimming pool.

[tex]\texttt{Rate of small pipe},r_1=\frac{V}{t_1}\\\\\texttt{Rate of large pipe},r_2=\frac{V}{t_2}=\frac{V}{0.5t_1}=2r_1[/tex]

If both pipes are combined it takes 213 hours, that is

              [tex]t=\frac{V}{r_1+r_2}\\\\213=\frac{V}{r_1+2r_1}\\\\V=639r_1[/tex]

Now we need to find how much time it takes to fill the pool by large pipe,

That is

               [tex]t_2=\frac{V}{r_2}=\frac{639r_1}{2r_1}=319.5hours[/tex]

By large pipe only it will take 319.5 hours to fill the pool.          

cosx - 4 = sinx -4
(0,2pi)
Find solutions

Answers

[tex]\bf cos(x)-4=sin(x)-4\implies cos(x)=sin(x)\implies \cfrac{cos(x)}{sin(x)}=0 \\\\\\ cot(x)=0\implies \measuredangle x=cot^{-1}(0)\implies \measuredangle x=\frac{\pi }{2}~~,~~\frac{3\pi }{2}[/tex]

What shape has 6 sides?

Question 10 options:

pentagon


hexagon


decagon


octagon

Save

Answers

A hexagon has 6 sides. Hope this helps!

A B) hexagon is the shape with 6 sides.

A hexagon is a polygon with six straight sides and six angles. In geometry, hexagons are commonly used in various designs and structures due to their symmetry and stability.

Regular polygon refers to a polygon with equal sides and equal angles, such as a hexagon. Hexagons have the property of being equilateral and equiangular, making them regular polygons.

Six Electron Groups form an octahedron, which is a polyhedron made up of identical equilateral triangles and has six identical vertices, showcasing the connection between the number six and geometric shapes.

Therefore, option B is correct.

A 14.5-gallon gasoline tank is 3 — 4 full. how many gallons will it take to fi ll the tank?

Answers

Final answer:

It would take 3.625 gallons of gasoline to fill a 14.5-gallon tank that is already 3/4 full.

Explanation:

The question asks how many gallons of gasoline are needed to fill a 14.5-gallon tank that is already 3/4 full. To find the amount needed to fill the tank, we first determine how much gasoline is currently in the tank by multiplying 14.5 gallons by 3/4:

14.5 gallons × 3/4 = 10.875 gallons

This means that there are 10.875 gallons of gasoline in the tank at the moment. To find out how much more gasoline is needed to fill the tank, we subtract this amount from the tank's total capacity:

14.5 gallons - 10.875 gallons = 3.625 gallons

Therefore, it would take 3.625 gallons of gasoline to fill the tank.

HELP ME PLEASE
Olga deposited $1500 in a savings account that pays 7.5% interest compounded quarterly. What is the balance in her account at the beginning of the third quarter?
A. $1,590
B. $1,560
C. $1,585.97
D. $1,591.81
ok let me make one thing clear: i have put up questions like this before but i am NOT TRYING TO JUST GET ANSWERS. I legit want to learn this. It is just hard for me i guess.. so sorry if this answer seems simple to you but its not to me so if you could please explain your answer CLEARLY, in particular with "compound quarterly." please explain so i can use the principles later on. Thank you!

Answers

Let P be the final value
Let r be the rate
Let t be the time in years
Let C be the initial value
Let n be the number of times interest is given per year

P = C (1 + r/n) ^ (nt)

r = 0.075 (7.5%)
t = 3/4 years
C = $1500
r = 4 (4 quarters in one year)

P = C (1+r/n)^ (t/n)
= 1500 * (1 + 0.075/4) ^ (3/4 * 4)
= 1585.97

Have an awesome day!

If you are wondering, a quarter means 1/4 of a year.

If Tara spends $219 a month for her car payment and she makes $3200 a month what percent of her monthly income is spent on her car payment

Answers

The percent is calculated as the ratio of the monthly paymen to the total income times 100.

Percent, % = (  [monthly car payment] / [ monthly income] ) * 100

% = ($ 219 / $ 3200) * 100 ≈ 6.8

Answer: approximately 6.8% of Tara's monthly income is spent of her car payment.

Calculate population variance from population standard deviation

Answers

the standard deviatiion is the square root of the variance.

Liam is setting up folding chairs for a meeting. If he arranges the chairs in 4 rows of the same length, he has 5 chairs left over. If he arranges the chairs in 2 rows of that same length, he has 17 left over. How many chairs does Liam have?

Answers

if x is the number of chairs in a row
4x + 5 = 2x + 17
2x = 12
x=6
There are 6 chairs in each row. Now you have to find the total
4x+5 = 4(6)+5 = 29
And now double check
2(x) + 17 = 2(6)+17 = 29
Liam has 29 Chairs

Susan can run 2 city blocks per minute. she wants to run 60 blocks. how long will it take get to finish if she has already run 18 blocks?

Answers

Im pretty sure the answer is 12

If u lies on the same line as r and n, what terms describe the relationship the three points must have? (select all that apply.) noncollinear between the points collinear coplanar

Answers

THat would be collinear

Answer:

Collinear, coplanar, and between the points

Step-by-step explanation:

Collinear means that the points are in the same line.

Coplanar means that the points are in the same plane.

Between the points is used when three points are in the same line an you want tro express that one of them is between the others.

So those three relationships can apply for the three points.

noncollinear not apply because it means that the points don't lie in a line.

How to find the measure of an exterior angle given the measure of the interior angle?

Answers

Exterior angles are always supplementary to the interior angle, because to get an exterior angle you have to keep the line going from one interior angle. That means that 

(measure of interior angle)+(measure of exterior angle)=180 degrees

You can change the form of the equation and get

(measure of exterior angle)=180 degrees - (measure of interior angle)

So, to find the exterior angle, just subtract the interior angle from 180.

Hope this helps!

Determine if the lines are parallel, perpendicular, or neither x-3y= 15 and y = -3+4

Answers

Answer:

Step-by-step explanation:

Angles A and B are complementary. If m/ A= 3x - 8 and m/ B = 5x + 10, whqt is the measure of each angle ? Show your work and explain the steps

Answers

Final Answer:

1. The measure of angle A is [tex]\(22^\circ\).[/tex]

2. The measure of angle B is[tex]\(68^\circ\).[/tex]

Explanation:

To find the measures of angles A and B, we can use the fact that they are complementary, meaning their measures add up to[tex]\(90^\circ\).[/tex]Let's set up an equation using the given information:

[m_A + m_B = 90]

Given that[tex]\(m_A = 3x - 8\)[/tex]and (m_B = 5x + 10), substitute these expressions into the equation:

3x - 8 + 5x + 10 = 9

Combine like terms:

8x + 2 = 90

Subtract 2 from both sides:

8x = 88

Divide by 8:

x = 11

Now that we know the value of (x), we can find the measures of angles A and B:

[tex]\[m_A = 3x - 8 = 3(11) - 8 = 33 - 8 = 25\][/tex]

[tex]\[m_B = 5x + 10 = 5(11) + 10 = 55 + 10 = 65\][/tex]

Therefore, the measure of angle A is \(25^\circ\) and the measure of angle B is [tex]\(65^\circ\).[/tex] To check, we can verify that these angles are indeed complementary:

25 + 65 = 90

So, angles A and B satisfy the condition of being complementary.

How many ways are there to distribute six different toys to three different children such that each child gets at least one toy?

Answers

give two toys to each child

What is the smallest integer that is the sum of three different primes, each of which is greater than 10?

Answers

I guess it is 3 as when you add 3 with 5 and 7 it gives you 15, which is greater than 10 and all 3 number are prime numbers.

Rachelle can walk 2.5 miles in 40 minutes. At this rate, how far can she walk in 1 hour?

Answers

The answer would be that she could walk 3.75 miles in 1 hour. I got this by dividing the time and distance in half, saying that she could do 1.25 miles in 20 minutes, so i added that to the 40 minutes so that it was 3.75 miles in 60 minutes or 1 hour.

The distance travel Rachelle in 1 hour (60 minutes) will be 3.75 miles.

What is speed?

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

Rachelle can walk 2.5 miles in 40 minutes.

Then the speed will be

Speed = 2.5 / 40

Speed = 0.0625 miles per minute

At this rate, distance travel Rachelle in 1 hour (60 minutes) will be

0.0625 = d / 60

d = 3.75 miles

The distance travel Rachelle in 1 hour (60 minutes) will be 3.75 miles.

More about the speed link is given below.

https://brainly.com/question/7359669

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A music competition on television had five elimination rounds. After each elimination, only half of the contestants were sent to the next round. The table below shows the number of contestants in each round of the competition:

x
1
2
3
4
5
f(x)
64
32
16
8
4


Compute the average rate of change of f(x) from x = 3 to x = 5 and describe what it represents






A. −6 contestants per round, and it represents the number of contestants who will reach the final round
B. −28 contestants per round, and it represents the number of contestants who will reach the final round
C. −6 contestants per round, and it represents the average rate at which the number of contestants decreased from the third round to the fifth round
D. −28 contestants per round, and it represents the average rate at which the number of contestants decreased from the third round to the fifth round

Answers

Its c, average rate, im sure of it

Answer:

The correct option is C.

Step-by-step explanation:

The given table represent the number of contestants in each round of the competition.

The average rate of change of f(x) from x = 3 to x = 5.

[tex]m=\frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]

[tex]m=\frac{f(5)-f(3)}{5-3}[/tex]

[tex]m=\frac{4-16}{2}[/tex]

[tex]m=\frac{-12}{2}[/tex]

[tex]m=-6[/tex]

The average rate of change of f(x) from x = 3 to x = 5 is -6, it represents the average rate at which the number of contestants decreased from the third round to the fifth round.

Therefore option C is correct.

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