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Given monomials are (3/4)pq , (1/2)qr² , -5p²r³ and -6r⁵

On multiplying them then

⇛ [(3/4)pq]×[(1/2)qr²]×[-5p²r³]×[-6r⁵]

⇛ [(3/4)×(1/2)×(-5)×(-6)]×(pq×qr²×p²r³×r⁵)

⇛[(3×1×-5×-6)/(4×2)](p×p²)×(q×q)×(r²×r³×r⁵)

⇛ (90/8)×p³×q²×r¹⁰

Since a^m × a^n = a^(m+n)

⇛ (45/2)×p³×q²×r¹⁰

⇛( 45/2 ) p³q²r¹⁰

Answer:- [(3/4)pq]×[(1/2)qr²]×[-5p²r³]×[-6r⁵] = (45/2)p³q²r¹⁰

Answer:

Step-by-step explanation:

Changes made to your input should not affect the solution:

(1): "^-6" was replaced by "^(-6)".

Equation at the end of step

1

:

  34

 {——}2

  1

STEP

2

:

           34

Simplify   ——

           1

Equation at the end of step

2

:

 ((3-6) • x) • (34^2)

Equation at the end of step

3

:

 ((3)(-6) • x) • 38

Dividing exponents:

4.1    38   divided by   36   = 3(8 - 6) = 32

Final result :

 9x

The simplification of the given expression gives the value 9.

Simplification is defined as a process in mathematics to operate and interpret an expression to make the expression simpler.

This can be done using various results or the basic operations of numbers.

Given expression is 3⁻⁶ × (3⁴ / 3⁰)².

We have to use product rule and quotient rule of exponents to simplify this.

We know that,

xᵃ × xᵇ = xᵃ⁺ᵇ

xᵃ / xᵇ = xᵃ⁻ᵇ

Also, (xᵃ)ᵇ = xᵃᵇ

3⁴ / 3⁰ = 3⁴⁻⁰ = 3⁴

Substituting,

3⁻⁶ × (3⁴ / 3⁰)² = 3⁻⁶ × (3⁴)²

                       = 3⁻⁶ × 3⁸

                       = 3⁻⁶⁺⁸

                       = 3²

                       = 9

Hence the simplified form of the given expression is 9.

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Answer:

sorry there's no results

Step-by-step explanation:

just skip it

Answer:

it's a and c

luk closely

Answer:

25 points

Step-by-step explanation:

21 x 3

63

-20

43

-18

25

Answer:

Step-by-step explanation:

A 45-45-90 right triangle is isosceles. That means both legs are the same length, and its hypotenuse is √2 times the leg length. You can figure these facts using trigonometry or the Pythagorean theorem, or you can rely on your memory of them.

w = 8 . . . . . . . . . . . same as the leg length shown

x = y = 8√2 . . . . . hypotenuse of smaller triangle; both legs are the same

z = (8√2)√2 = 16 . . . . hypotenuse of larger triangle

Answer:

y=-1/2x-8

Step-by-step explanation:

y-y1=m(x-x1)

y-(-5)=-1/2(x-(-6))

y+5=-1/2(x+6)

y=-1/2x-6/2-5

y=-1/2x-3-5

y=-1/2x-8

Answer:

2

Step-by-step explanation:

There are two turning points, therefore this is a cubic function. The degree is 3

Answer:

A, 94

Step-by-step explanation:

4. A since that is the tallest of the bars

5. 51 + 9 + 34 = 94 people

Answer:

pretty sure it's D........

Answer:

25π

Step-by-step explanation:

1) for whole circuit: A=π*r², where r - radius of the given circle;

2) for a quater of the circuit: A=πr²/4;

3) finally, A=π*100/4=25π.

Step-by-step explanation:

she is the only sales agent selling cars after totaling them ... :-)

she makes 12% commission on the amount of sales beyond $50,000.

so, total sales was $115,000.

the base for her commission is then

115,000 - 50,000 = $65,000

she gets 12% of these $65,000.

100% = $65,000

1% = 100%/100 = 65,000/100 = $650.

12% = 1%×12 = 650 × 12 = $7,800

so, C is the right answer.

Answer:

m = 5

Step-by-step explanation:

200m - 125m + 48,750 = 50,000 - 175m​

=> 75m + 48,750 = 50,000 - 175m​

=> 75m + 175m = 50,000 - 48,750

=> 250m = 1250

=> m = 5

Hoped this helped.

Answer:

The answer is $20.75

A dog: 40$

2: $37.25

3: $34.50

4: $31.75

5: $29

6: $26.25

7: $23.50

8: $ 20.75

Step-by-step explanation:

Minus $2.75 is the pattern

Answer:

$ 59.25

Step-by-step explanation:

The given rates form an AP (Arithmetic Progression).

Let the cost of walking 1 dog be taken as the first term

and,

cost of walking 2 dogs as second term,

we notice that the price per dog is decreasing by 2.75 $ each time the number of dogs is increasing by 1.

So, it's safe to say that

In the AP:

First term is $ 40

Common difference is $ 2.75

Finding the charge to walk each of the eight dogs is like finding the 8th term of the given Series.

Formula for n-th term of a depreciating AP in terms of common difference(d) and first term(a):

[tex] \boxed{ \mathsf{a _{n} = a - (n - 1)d}}[/tex]

[tex] \implies \mathsf{a _{8} = 40 - (8 - 1) \times 2.75}[/tex]

[tex] \implies \mathsf{a _{8} = 40 - 7 \times 2.75}[/tex]

[tex] \implies \mathsf{a _{8} = 40 - 19.25}[/tex]

[tex] \implies \mathsf{a _{8} = \underline{20.75}}[/tex]

Hence, the charge to walk each of the eight dogs is $ 20.75

Answer:

Step-by-step explanation:

The coefficients of x and y do not have any "nice" relations, so doing this by elimination is just "brute force" with no particular subtlety.

After multiplying by appropriate numbers, you want the coefficient of one of the variables in one equation to be the opposite of the coefficient of the same variable in the other equation. Here, we can get that by multiplying the first equation by 7 and the second equation by 2.

  7(2x +3y = -19)   ⇒   14x +21y = -133

  2(-7x +2y = -21)   ⇒   -14x +4y = -42

Adding these equations with opposite x-coefficients eliminates the x-terms. (That is how the "elimination" method gets its name.)

  (14x +21y) +(-14x +4y) = (-133) +(-42)

  25y = -175 . . . . . . . . simplify

  y = -7 . . . . . . . . . . . divide by 25

Substituting this value into the first equation gives ...

  2x +3(-7) = -19

  2x = 2 . . . . . . . . . add 21

  x = 1 . . . . . . . . . divide by 2

The solution is x = 1, y = -7.

_____

Additional comment

The multipliers used in this process are essentially the coefficients of one of the variables, with one of them negated. Here, we chose the x-coefficients, because negating one of them gives two positive multipliers. We judge it easier to do the arithmetic using positive numbers.

Had we chosen to use the y-coefficients (3 and 2) for our multipliers, we would probably multiply the first equation by 2, and the second equation by -3. That way, the remaining x-coefficient would be positive.

Planning ahead is helpful, but not essential. It can help to avoid errors and make the work easier to do.

Answer:

Answer below

Step-by-step explanation:

basically, what should we multiply each term by to get next term

18 times what=12

what=12/18=2/3

12 times what=8

what=8/12=2/3

common ratio is 2/3

_____________________________________________________

(hope this helps can I pls have brainlist (crown)☺️)

Answer:

a: -1/2

b: 15

Step-by-step explanation:

A system that has infinite solutions is the same line on top of itself.

Hope that helps

========================================================

Explanation:

i = sqrt(-1)

Lets list out the first few powers of i

By the time we reach the fourth power, we repeat the cycle over again (since i^0 is also equal to 1). The cycle is of length 4, which means we'll divide the exponent over 4 to find the remainder. Ignore the quotient. That remainder will determine if we go for i^0, i^1, i^2 or i^3.

For example, i^5 = i^1 because 5/4 leads to a remainder 1.

Another example: i^6 = i^2 since 6/4 = 1 remainder 2

Again, we only care about the remainder to find out which bin we land on.

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

Turning to the question your teacher gave you, we have,

739/4 = 184 remainder 3

So i^739 = i^3 = -i

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

Side notes:

Answer:

[tex]3 - 4 = 1[/tex]

✨✨

3-4

you just need to subtract 3 from -4

so , your answer is -1

Hello there, this is how we would solve this problem, we can see that angle KAE equals 90° and we have an angle that equals 62° now since angle GCJ or also known as x is a vertical angle with IAD we can make the following equation

[tex]x+62+90=180[/tex] subtract 62 and 90 from both sides and we get that [tex]x=28[/tex]°

Answer:

Step-by-step explanation:

Let's take two points on a line. (2,0) and (0,2).

Now, determine the rise and run.

Slope = Rise/Run

=> 2/2

Conclusion:

Therefore, the slope is 1.

Hoped this helped.

Answer: First we know the Town Library has 3 times as many books as there are in the School Library. The Town Library has 2,676 books.

Divide 2,676 by 3. 2676÷3= 892

So your answer is: 892 books.

Hope I helped. :)

The number of books in the library will be 892.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that there are 3 times as many books in the town library as there are in the school library. The town library has 2,676 books.

The number of books will be calculated as,

Number = 2676 / 3

Number = 892

Hence, the number of books will be 892.

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Answer:

option c.)

Step-by-step explanation:

m∠1 + m∠3 = 180°

The ratio as a unit rate is 0.8 meters per second.

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

The given statement is "8 meters in 10 seconds".

It can be written as:

= 8/10 meters per second

= 0.8 meters per second

Thus, the ratio as a unit rate is 0.8 meters per second.

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The Question attached here seems to be incomplete, the complete Question is

Write the ratio as a unit rate. 8 meters in 10 seconds.

A. 0.8 meters per second

B. 1.125 meters per second

C. 2 meters per second

D. 80 meters per second

Answer:

x=24

Step-by-step explanation:

2x+20=2x-4+x

Subtract 2x from both sides

2x+20-2x=2x-4+x-2x

Simplify

20=-4+x

Add 4 to both sides

24=x

Switch sides

x=24

Answer: 554

Step-by-step explanation: cause yeah

Answer:

  (a)  1

Step-by-step explanation:

When you draw a horizontal line on the graph at y=1, you see it intersects the curve in two places. That is, there will be 2 real solutions to f(x) = 1, not 4 solutions.

If you want 4 solutions, the value of c in f(x)=c cannot be 1.

Answer:

$416

Step-by-step explanation:

weeks in a year is 52 weeks

52×8=416$

Transformation involves changing the form of a function

The true statement is (a) it is stretched horizontally by a factor of 2 and translated up, 3 units.

The function is given as:

[tex]y = \log(x)[/tex]

Start by stretching the graph of [tex]y = \log(x)[/tex], horizontally by a factor of 2.

So, we have:

[tex]y = \log(2 \times x)[/tex]

[tex]y = \log(2x)[/tex]

Next, shift the function up by 3 units.

So, we have:

[tex]y = \log(2x) + 3[/tex]

Hence, the true statement is (a)

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Answer:

its b on edge

Step-by-step explanation: