Eliminate factors equivalent to 1 and rewrite the right side of this equation

Answers

Answer 1

[tex]\begin{gathered} \frac{p^3q^5r^2}{pq^3r^2}=\frac{p\cdot p\cdot\cancel{p}\cdot\cancel{q\cdot q\cdot q}\cdot q\cdot q\cdot\cancel{r\cdot r}}{\cancel{p}\cdot\cancel{q\cdot q\cdot q}\cdot\cancel{r\cdot r}} \\ \frac{p^3q^5r^2}{pq^3r^2}=\frac{p^{}\cdot p\cdot q\cdot q}{1}=\frac{p^2q^2}{1}=p^2q^2 \end{gathered}[/tex][tex]\begin{gathered} \text{ The answer is} \\ \frac{p^3q^5r^2}{pq^3r^2}=p^2q^2 \end{gathered}[/tex]

Related Questions

Which of the following angles is not congruent to Z3? t 1 2 5 6 3 4 7 8 A B 21 8

Answers

From the diagram, the angles that are not congruent to the angle < 3, are

[tex]\angle4\text{ ,}\angle7\text{ , }\angle5\text{ ,}\angle2[/tex]

a line crosses the coordinates (-3,5) and (2,-5). what is the slope of the line?

Answers

The line passes through 2 points given:

[tex]\begin{gathered} (x_1,y_1)=(-3,5) \\ \text{and} \\ (x_2,y_2)=(2,-5) \end{gathered}[/tex]

We can find the slope using the slope formula shown below:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Substituting the points into the formula:

[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{-5-5}{2--3}=\frac{-10}{5} \\ m=-2 \end{gathered}[/tex]

The slope of the line shown in the figure is:

-2

A1 plumbing service charges $35 per hour plus a $25 travel charge for a service call. good guys plumbing repair charges $40 per hour for a service call with no travel charge. How long must a service call be for the two companies to charge the same amount

Answers

For given charges of plumbing service charges of two companies , the time of service two companies to charge the same amount is equal to 5 hours.

As given in the question,

Let 'h' hours be the time when service two companies to charge the same amount

A1 plumbing service company;

Charges $35 per hour plus a $25 travel charge for a service call

Equation:

y=25 + 35h

Good guys plumbing repair company :

Charges $40 per hour for a service call with no travel charge

Equation:

y=40h

Time when service two companies to charge same amount

25 +35h = 40h

⇒40h -35h=25

⇒5h=25

⇒h=25/5

=5hours

Therefore, for given charges of plumbing service charges of two companies , the time of service two companies to charge the same amount is equal to 5 hours.

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Let C be the boundary of the square with vertices (0,0),(1,0),(1,1) and (0,1) oriented the in the counter clockwise sense. Then the value of the line integral [tex]\oint_ { \rm C} \rm {x}^{2} {y}^{2} dx + ( {x}^{2} - {y}^{2} )dy \\ [/tex] is ________. (rounded of two decimal places)

Answers

By Green's theorem,

[tex]\displaystyle \oint_C x^2y^2 \, dx + (x^2-y^2) \, dy = \iint_{[0,1]^2} \left(\frac{\partial(x^2-y^2)}{\partial x} - \frac{\partial(x^2y^2)}{\partial y}\right) \, dx \, dy \\\\ ~~~~~~~~ = \int_0^1 \int_0^1 (2x - 2x^2y) \, dx \, dy \\\\ ~~~~~~~~ = \int_0^1 \left(1-\frac23 y\right) \, dy \\\\ ~~~~~~~~ = 1 - \frac13 = \frac23 \approx \boxed{0.67}[/tex]

what is the massive objects the planets of the solar system orbit

Answers

The planets orbit around stars. Our solar system is an example of that, all the planets in our system orbit around a star, the Sun.

Hence, the answer is stars.

The table represents the volume, y cubic units, of a cube with side lengths of x units.x:0, 1, 2, 3y:0, 1, 8, 27Does the table represents a linear function

Answers

No, the table does not represent a linear function

Explanation

Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. it has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y

Step 1

graph

[tex]y=x^3[/tex]

so, the graph does not represent a linear function , Also

the volume of a cube is given by

[tex]\text{Volume}=Side^3^{}[/tex]

the exponent of the function is 3, and for a linear function the exponent in the varialbe must be 1,

(3)^4 x (3)^3

(3)^3 / (3)^4

(3)^4 x (3)^-3

{(3)^4} ^3

Need theses all solved !!! Helpppp

Answers

Answer:

1. 3^7 or (2187)

2. 1/3

3. 3

4. 3^12

SIDE NOTE:

I'M NOT COMPLETELY SURE IF THESE ARE CORRECT DON'T TAKES THESE FOR GRANTED.

Use algebra tiles to model each polynomial. Then draw a diagram of your model.[tex] { - 2x }^{2} [/tex]

Answers

[tex]-2x^2[/tex]

We will have 2 tiles, let us draw them

Question in picture please answer

Answers

By using the property of linear pair we can prove that m∠2=m∠3 .

Let us use the template that is provided to find the solution.

1. ∠1 and ∠2 are supplementary (Linear pair)

∠3 and ∠4 are supplementary.

2.m∠1 + m∠2 = 180° (definition of supplementary angles.)

3.m∠3 + m∠4 = 180° (definition of supplementary angles.)

4.m∠1 + m∠2 = m∠3 + m∠4 (Substitution property)

or, m∠1 + m∠2 = m∠1 + m∠3

5. m∠1 =m∠4 (given)

6. m∠2 = m∠3 ( Subtraction property)

Therefore we can see that the two angles are equal due to the properties of linear pair and substitution property.

A linear pair of angles is formed when two straight lines intersect at only 1 single point. The angles are known to be a linear pair if they exactly follow the point where the two straight lines intersect only in a straight line. The sum of the angles in a pair of linear equations is always equal to 180°.

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Your brother has 2,000 dollars saved for a vacation. His airplane ticket is 637 dollars. Write and solve an inequality to find out how much he can spend for everything else.

Answers

If x variable represents the money your brother has without the value of the airplane ticket, then, the expression x + 637 is the total money he has at the beggining.

In the sense of an inequality, it means x + 637 must be lower or equal than 2000 dollars, which was the initial money yoir brother had.

Then, you have:

x + 637 ≤ 2000

to solve the previous inequality, subtract 637 both sides:

x + 637 - 637 ≤ 2000 - 637 simplify both sides

x ≤ 1363

Hence, the solution to the ineuqality is x ≤ 1363

Your brother can spend at least 1363 dollars

Question 3 of 10How many solutions does the nonlinear system of equations graphed belowhave?10X10

Answers

Answer:

B. Zero

Explanation:

The solutions of the system of equation are the points where the graph intersect. In this case, the red function and the blue function doesn't cross each other. So, the system formed by these non linear equations has no solutions.

Therefore, the answer is:

B. Zero

Answer:two

Step-by-step explanation:

what happened when you had a positive minus a negative, a-(-b)?what happened when you had a negative minus a negative (-a)-(-b)?

Answers

Your First question says what happens when you have a positive value minus a negative value.

Let the positive value be a and the negative value be - b

a - (- b) = a + b

Note

[tex]-\text{ }\times\text{ - = +}[/tex]

The second question says what happens when we have a negative value minus a negative value.

-a - (-b) = -a + b

Note

[tex]\begin{gathered} -\text{ }\times\text{ + = - } \\ +\text{ }\times\text{ + = +} \\ -\text{ }\times\text{ - = +} \end{gathered}[/tex]

what are all the possible values of 'a' in -3≤a≤3

Answers

We have the next

[tex]-3\le a\le3[/tex]

The possible values of 'a' for this are

[tex]\mleft[-3,3\mright][/tex]

the value of a could be all the values between -3 and 3 including -3 and 3

ANSWER

[-3,3]

A boat can travel 16 miles against a current in the same time it can travel 40 miles with the current. The current flows at 3 mph. What is the rate of the boat in still water?

Answers

The rate of the boat when it's still in water is 7mph.

How to calculate the rate?

Based on the information, one can denote that the travel times are the same. The formula to calculate the rate will be:

d1/v1 = d2/v2

where

v = rate

d = distance of miles.

This will be:

t = 16/(v - 3) = 40/(v + 3)

Cross multiply

40(v - 3) = 16(v + 3)

40v - 120 = 16v + 48

Collect like terms

40v - 16v = 48 + 120

24v = 168

Divide through by 24

24v/24 = 168/24

v = 7 mph

The rate is 7mph. This shows the concept of the calculation for rate.

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Determine the required value of the missing probability to make
the distribution a discrete probability distribution.
X
3
45
4
5
6
P(x)
0.24
?
0.28
0.26

Answers

The value that completes the probability distribution is 0.22

How to determine the missing value?

The distribution of the discrete probability distribution is given as

x 3 4 5 6

P(x) 0.24 ? 0.28 0.26

Represent the blank value in the distribution with the variable y

So, we have the following representation:

P(x) 0.24 y 0.28 0.26

The sum of probabilities in a distribution is 1

So, we have

0.24 +y + 0.28 + 0.26 = 1

Evaluate the sum

y + 0.78 = 1

Evaluate the like terms

y = 0.22

Hence, the missing value is 0.22

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The distance-time graphs below represent the motion of a car. Match the descriptions with the graphs. Explain your answers

5. the car is stopped

6.the car is traveling at a constant speed

7. the speed of the car is decreasing

8. The car is coming back

Answers

The given speed time graphs represents the outline of the speed of the car with time.

The correct options are;

Graph E matches the description of the car is stopped, because it consists of an horizontal line at a pro on the x–axis

Graph F matches the description the speed of the car is decreasing because graph E is a straight line graph that slopes downward from left to right

Graph G matches the description, The car is traveling at a constant speed because the graph remains the same as the time increases

Graph H matches the description of the car the car stoped because the location of the graph is on the x-axis

Graph F represent matches the description of the car speeding up

What is a speed time graph?

A speed time graph is one that shows the variation of speed with time for an object.

The given graphs in the question are speed time graphs such that we have;

5. When the car stops, the speed is zero, and the graph consists of an horizontal line (showing that the zero speed (stopping) is constant over a period of time) that is located on the x–axis, where the y–axis value is zero.

Graph H matches the description of the car is stopped because the graph consists of an horizontal line located on the x–axis

Graph

6. When the car is in motion, and the speed is constant, the graph will consist of an horizontal line at the specified speed. The horizontal line at the speed indicates that the speed is not changing.

Graph G matches the description of the car is traveling at a constant speed because the graph consists of a horizontal line at a positive y–value larger than zero or above the x–axis

7. When the speed of the car is decreasing, it means that as the time increases from left to right, the speed is decreasing simultaneously, which is given by a graph of a straight line that slopes downward as the time increases from left to right

Graph E matches the description of the speed of the car is decreasing because the graph consists of a straight line graph that slopes from left to right.

8. The graph of a car coming back is given by a graph that has negative y–values, such that the line of the graph is in Quadrant IV

A graph that matches car coming back will be located below the horizontal x–axis

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Area of Composite Figures Find the area of each figure. Round to the nearest tenth if necessary.

Answers

The Area of the composite shape is the sum of the areas of the triangle and that of the square

Area of square = length x breadth =>

[tex]\begin{gathered} \text{Area of square = 10 m x 6m } \\ \Rightarrow60m^2 \end{gathered}[/tex]

Area of Traiangle = 1/2 (base x height)

For a standard normal variable , compute p(z<1.5)

Answers

Answer:

P(Z < 1.5) = 0.9331927987

when you multiply by a power of 10 the decimal point moves how many places

Answers

If we have a number X and we multiply it by a power of 10, then:

[tex]x\text{ }\ast\text{ }10^{n\text{ }}=\text{ x followed by n zeros}[/tex]

Example:

x = 7 and we want to multiply it by 1,000

[tex]7\text{ }\ast\text{ 1,000 = 7 }\ast\text{ }10^{3\text{ }}=\text{ 7, 000 (3 zeros, the same quantity of the power)}[/tex]

Another example:

x = 27 and we want to multiply it by 1 million

[tex]27\text{ }\ast\text{ 1,000,000 = 27 }\ast10^{6\text{ }}=\text{ 27,000,000 (6 zeros, the same quantity of power)}[/tex]

Which of the numbers given are rational?Select all that apply:018.127600121025.4777019.26819812.15167

Answers

A rational number is a number that is the form p/q where p and q are integers, and q is not equal to 0.

[tex]\text{Rational number: }\frac{\text{ integer}}{\text{ integer not equal to 0}}[/tex]

So, in this case, we have:

First number