Factor by identifying a common factor in each term. help


g) 6xy2 = (3x) (?)

h) 25a3b2 = (5a2b2) (?)

i) 6x + 6y + 6p

Answer:

a^ (5/2)

Step-by-step explanation:

a^5 ÷ a ^ (5/2)

We know that x^b ÷ x^c = x^ ( b-c)

a^ ( 5 - 5/2)

a^ ( 10/2 - 5/2)

a^ (5/2)

Answer:

[tex]a^{\frac{5}{2} }[/tex]

Step-by-step explanation:

Using exponent rules, if we have [tex]a^x \div a^y[/tex] then the result can simplify to [tex]a^{x-y}[/tex]

So [tex]a^5 \div a^{\frac{5}{2}}[/tex] is the same as [tex]a^{5 - \frac{5}{2}}[/tex].

[tex]\frac{5}{1} - \frac{5}{2} = \frac{10}{2} - \frac {5}{2} = \frac {5}{2}[/tex]

So [tex]a^{\frac{5}{2}}[/tex].

Hope this helped!

Answer:

750 minutes

Step-by-step explanation:

james read 2 pages in 3 minutes so to read 250 pages it will be 250 x 3=750

Answer:  see proof below

Step-by-step explanation:

Use the following Sum to Product Identities:

[tex]\sin x+\sin y=2\sin\bigg(\dfrac{x+y}{2}\bigg)\cos \bigg(\dfrac{x-y}{2}\bigg)\\\\\\\cos x-\cos y=-2\sin\bigg(\dfrac{x+y}{2}\bigg)\sin \bigg(\dfrac{x-y}{2}\bigg)[/tex]

Proof LHS →  RHS

[tex]\text{LHS:}\qquad \qquad \qquad \qquad \dfrac{\sin \theta-\sin 3\theta+\sin 5\theta -\sin 7\theta}{\cos \theta -\cos 3\theta -\cos 5\theta +\cos 7\theta}[/tex]

[tex]\text{Regroup:}\qquad \qquad \qquad \dfrac{(\sin 5\theta+\sin \theta)-(\sin 7\theta +\sin 3\theta)}{-(\cos 5\theta -\cos \theta) +(\cos 7\theta -\cos 3\theta)}[/tex]

[tex]\text{Sum to Product:}\quad \dfrac{2\sin\bigg(\dfrac{5\theta +\theta}{2}\bigg)\cos \bigg(\dfrac{5\theta -\theta}{2}\bigg)-2\sin \bigg(\dfrac{7\theta + 3\theta}{2}\bigg)\cos \bigg(\dfrac{7\theta - 3\theta}{2}\bigg)}{2\sin\bigg(\dfrac{5\theta +\theta}{2}\bigg)\sin \bigg(\dfrac{5\theta -\theta}{2}\bigg)-2\sin \bigg(\dfrac{7\theta + 3\theta}{2}\bigg)\sin \bigg(\dfrac{7\theta - 3\theta}{2}\bigg)}[/tex]

[tex]\text{Simplify:}\qquad \qquad \dfrac{2\sin 3\theta \cos 2\theta-2\sin 5\theta \cos 2\theta}{2\sin 3\theta \sin 2\theta-2\sin 5\theta \cos 2\theta}[/tex]

[tex]\text{Factor:}\qquad \qquad \dfrac{\cos 2\theta(2\sin 3\theta -2\sin 5\theta \cos 2\theta)}{\sin 2\theta(2\sin 3\theta -2\sin 5\theta \cos 2\theta)}[/tex]

[tex]\text{Simplify:}\qquad \qquad \dfrac{\cos 2\theta}{\sin 2\theta}\\\\.\qquad \qquad \qquad =\cot 2\theta[/tex]

LHS = RHS:  cot 2Ф = cot 2Ф   [tex]\checkmark[/tex]

Answer:

Step-by-step explanation:

1999/1000

Answer:

1999/1000

please mark me a brainlist

Answer:

The percentage difference between 3.4 and 3.42 is 0.58651% or 0.02.

Step-by-step explanation:

Find the absolute difference between two numbers: |20 - 30| = |-10| = 10

Find the average of those two numbers: (20 + 30) / 2 = 50 / 2 = 25

Divide the difference by the average: 10 / 25 = 0.4

Express it as percentages: 0.4 * 100 = 40%

in this case, it would be 3.4 and 3.42

Answer: 0.02

Step-by-step explanation: 3.42 is bigger than 3.4 and they are asking for the difference between the two measurements. So, you subtract the 3.4 from the 3.42

hey the square root is 20

Answer:

20.37

Step-by-step explanation: caculated!!

Answer: 2,977,200 miles per hour

Step-by-step explanation: This is true because taking that that is miles per second there is 60 seconds in a minute so times that by 60 and there are 60 minutes in an hour so times that last answer by 60 again which gives you the answer

Answer:

5 units

Step-by-step explanation:

The area of a parallelogram is given by the formula:

[tex]A=bh[/tex]

Where b is the base and h is the height.

So we know that the area is 15. We can also see that the base is 3. Thus:

[tex]15=3h[/tex]

Divide both sides by 3:

[tex]h=5[/tex]

So, the height is 5 units.

Answer:

h=3 units

Step-by-step explanation:

Equation for finding the area of a parallelogram:

b·h=area

Equation for this answer:

3·h=15

So divide 15 by 3 and you will get your answer.

15÷3=5

So the answer is:

3·5=15

Answer:

18

Step-by-step explanation:

I am assuming you meant 8r-rs, in this case:

Plug in r=6 and s=5:

8(6)-(6)(5)

8*6 = 48 and -6*5= -30

Thus,

48-30= 18

Answer  78

Step-by-step explanation:

Answer:  650 miles

Step-by-step explanation:

If it takes 5 hours to go from Paris to Geneva and a train is travelling at 130 miles per hour then multiply the total number of miles per hour by 5 to find how many miles you will have to travel from Paris to Geneva.

130 * 5 =  650

Answer:

Step-by-step explanation:

A.) Let z be the variable denoted for the total cost of all kitten supplies. Then, let x be the number of bottles and let y be the number of cans. The equation would be:

z = 3.99x + 1.50y

The coefficients are 1 for z, 3.99 for x and 1.50 for y.

There are no constants.

The variables are z, x and y.

Part B.) Substitute x=30 and y=120 to the equation in part A to determine z.

z = 3.99(30) + 1.50(120)

z = $299.7

Part C.

Sales tax would be 7% of the total cost. This would be added as a constant. The expression would be:

z = (3.99x + 1.50y)(1+0.07)

Substituting x=30 and y=120,

z = (3.99*30 + 1.50*120)(1+0.07)

z = $320.679

Answer:

Hey there!

If he has already stopped five times for water, he has run 5(3.25), or 16.25 miles.

He has 26.2-16.25, or 9.95 more miles to run.

Let me know if this helps :)

Answer:

9.95 miles

Step-by-step explanation:

How many times he stopped × number of miles before break = total miles that has been run.

3.25 × 5 = 16.25

26.2 - 16.25 = 9.95 miles.

Answer:

3/4<5/2<2.71

Step-by-step explanation:

3/4<5/2<2.71

Answer:

5/2, 2.71, 2 3/4, 5/2

Step-by-step explanation:

This is because (5/2) is equal to 2.5

and 2.71 is equal to 2.71

then (2 3/4) is equal to 3.75

and finally 5 is just 5, so then you put them in order (Least to Greatest) and then you revert them back to their original form.

hope this helps.

Answer:

slope:  1 /8

y-intercept:  ( 0 , − 1 /4 )

Answer:

Step-by-step explanation

That's the answer

The position of the √6 on the number line is slightly right of the 2.4.

We need to determine the approximate location of √6 on the number line.

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

Here,

In the general conclusion,

√4< √6 < √9

2 < √6 < 3

So, the value of the √6 lies between 2 and 3.

√6 = 2.445

So the position of the √6 on the number line is slightly right of the 2.4.

Thus, the position of the √6 on the number line is slightly right of the 2.4.

Learn more about number line here:

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Answer:

No  real solution

Step-by-step explanation:

First off I'm assuming that the 1 or -1 at the begging is just the problem number:

First you distribute on both sides

36 - 18x - 3 = 4 - 18x + 30

Then combine like terms

33 - 18x = 34 - 18x

Then rearrange the terms by adding 18x to both sides and subtracting both sides by 33. You should get:

0 = 1

When you add positive 18x it cancels the -18x out. And 34 - 33 is 1. Obviously, zero cannot equal 1 so there is no real solution

Answer:

2(y−1)(x−3)

Step-by-step explanation:

Factor 2xy−2x+6−6y

2xy−2x−6y+6

=2(y−1)(x−3)

Answer:

Jose ends up with more money with $59 more than Peter.

Step-by-step explanation:

To determine the amount they will have, you have to use the formula to calculate the future value:

FV=PV(1+r)^n

FV= future value

PV= present value

r= rate of interest

n= number of periods of time

-Peter:

FV=1,000*(1+0.04)^10

FV=1,000*1.48

FV=1,480

-Jose:

FV=900*(1+0.05)^11

FV=900*1.71

FV=1,539

Difference: $1,539-$1,480=$59

According to this, the answer is that Jose ends up with more money with $59 more than Peter.

Answer:

4p - 7 = 13

Step-by-step explanation:

The first step of the solution should be to simplify the left side by combining like terms. In this case, 3p and p are the like terms and 3p + p = 4p so the answer is 4p - 7 = 13.

Answer:

4p - 7 = 13

Step-by-step explanation:

Answer:

[tex]\frac{s}{2t}[/tex]

Step-by-step explanation:

When you have exponents above a like term and they are being multiplied together, you add them.

For example:

[tex]a^{x} *a^{y} = a^{x + y}[/tex]

So let's group like terms in the numerator:

[tex]4r^{3} r^{-5} s^{-2} s^{-1}t[/tex]   We can add terms like in the example.

[tex]4 r^{-2} s^{-3} t[/tex]

Let's rearrange the denominator.

[tex]8r^{-2} s^{-4} t^{2}[/tex]

Now we have:

[tex]\frac{4r^{-2} s^{-3}t}{8 r^{-2} s^{-4} t^{2} }[/tex]  Cancel like terms

4/8 = 1/2    

[tex]r^{-2} /r^{-2}[/tex] = 1  So it cancels

[tex]s^{-3} / s^{-4} = s^{-1}[/tex] = s Since s is raised to the -1 it goes on top and becomes s.

[tex]t / t^{2} = 1/t[/tex]

Now we combine everything back together:

[tex]\frac{s}{2t}[/tex]

Answer:

108

Step-by-step explanation:

they are supplemntary meaning the sum of the equals 180

180 - 72 = 108

Answer:

<7= 108

Step-by-step explanation:

Angle 6 and angle 7 form a straight line. A straight line always equals to 180, so you subtract 180 from 72. 180-72=108

Answer:

7

Step-by-step explanation:

We first start by simplifying the bracket.

(6 - 5) = 1,

Now we have

3(1) + 4

3 + 4 = 7

also, if you expand instead of simplifying, you get.

(3*6 - 3*5) + 4

(18 - 15) + 4

3 + 4 = 7

Irrespective, the answer is 7

Answer:

16+5.6..to solve it yiu will have to put it like this...

16.0+5.6=21.6.

21.6+0.681=22.281.

On simplifying we get the answer as 22.281

According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.

Given here, the expression is 16 + 5.6 + 0.681​ =22.281

Hence, on simplifying we get the answer as 22.281

Learn more about the BODMAS rule here:

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Answer: $90,000 at 12%

and $80,000 at 9%

Step-by-step explanation:

given data:

cost of property = $170,000.

short term = 12%.

long term = 9%.

total interest paid = $18,000.

Step 1

= 0.12x + 0.09 (170,000-x) = 18,000

collect like terms

= 0.12x +  15300 – 0.09x = 18,000

divide both Sides by 0.03

0.03x = 2700

x = $90,000 at 12%

and $80,000 at 9%

Answer:

first one is -1 and the second question that comes up is 1, 2, and 6

Step-by-step explanation:

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