What is p^−m ÷ p^n equal to?

Answer:

  B

Step-by-step explanation:

You want the difference of the rational expressions (6/x) and (5x/(x+2)).

The difference of rational expressions is found the same way any difference of fractions is found. The fractions are written using a common denominator, and the difference is taken of the numerators.

  \(\dfrac{6}{x}-\dfrac{5x}{x+2}=\dfrac{6(x+2)}{x(x+2)}-\dfrac{x(5x)}{x(x+2)}\\\\\\=\dfrac{6x+12-5x^2}{x(x+2)}=\boxed{\dfrac{-5x^2+6x+12}{x^2+2x}}\)

__

Additional comment

Once you realize the common denominator is x(x+2) = x²+2x, you have eliminated all but the correct answer choice.

Answer:

120%

Convert fraction (ratio) 30 / 25 Answer: 120%

Answer:

120%

Step-by-step explanation:

Just divide the numerator(30) by the denominator(25).

Answer:

Step-by-step explanation:

2. You work for an environmental company as an environmental toxicologist and have been hired to determine the contaminant present in a local resident’s pool. Create a flow chart outlining how you would detect the possible presence of Fe2+ and/or Sr2+

The derivative of the function cos(xº) in radians is y' = -sin(xπ/180)

From the question, we have the following function definition that can be used in our computation:

cos(xº)

Changing the degree into radian, we have

cos(xπ/180)

Express as a function

So, we have

y = cos(xπ/180)

When the cosine function is differentiated, we have

y' = -sin(xπ/180)

Hence, the differentiated function is y' = -sin(xπ/180)

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The correct statements regarding the domain and the range of the functions are given as follows:

For the square root function, we have that:

Hence if we multiply the function by a negative number, the domain of the function remains constant, but the range is changed.

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12,480 es par y la suma de sus digitos da un multiplo de 3, por ello concluimos que es divisible por 6.

Para que un número sea divisible por 6 debe cumplir dos condiciones.

En este caso tenemos 12,480, que sabemos que es par.

La suma de sus digitos da:

1 + 2 + 4 + 8 + 0 = 15

15 es multiplo de 3.

Entonces este número cumple ambas condiciones, por lo que concluimos que 12,480 es divisible por 6.

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Answer:

Step-by-step explanation:

What is 3-3×6+2 please?

remember PEMDAS

3 - 3 × 6 + 2 =    (solve multiplication)

3 - 18 + 2 =         (solve addition)

3 - 16 =              (solve subtraction)

-13                     (result)

Answer:

tan = 12/5..............

Answer:

Grogg's dad is 22

Step-by-step explanation:

Let D = dad's current age

Let g = Grogg's current age

6(d - 7) = g - 7 → 6d - 42 = g - 7 → 6d -35 = g

4(d - 3) = g - 3 → 4d -12 = g - 3 → 4d -9 = g

Set the two equations equal to each other and solve for d

6d - 35 = 4d - 9  Subtract 4d from both sides

2d -35 = -9  Add 35 to both sides

2d = 44  Divide both sides by 2

d = 22

Helping in the name of Jesus.

Answer:

Step-by-step explanation:

d = current dad age

g = current grogg age

d-7 = 6(g-7)

d-3 = 4(g-3)

Let's solve the first equation first:

Add 7 to both sides: d - 7 +7 = 6g - 42 + 7 so d = 6g - 35

Substitude d = 6g - 35 for d in d - 3 = 4g - 12

(6g-35)-3 = 4g-12 = 6g-38 = 4g-12

Subtract 4g from both sides: 2g - 38 = -12

Add 38 to both sides: 2g = 26

Easy: g = 13

And now substitude g in for any equations.

d-3 = 52-12

d = 43

Answer:

h = -9

Step-by-step explanation:

5h+2(11-h)= -5

Distribute

5h +22 -2h = -5

Combine like terms

3h +22 = -5

Subtract 22 from each side

3h +22-22 = -5-22

3h = -27

Divide by 3

3h/3 = -27/3

h = -9

The speed at which Neva Kee was traveling, in miles per hour, is  0.0024.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

We know 1  mile is equal to 5280 feet.

Given, A distance of 9286 feet On Lap 1, Neva Kee covered this distance is in 5 seconds.

Now, 9286 feet is equal to 9286/5280 = 1.76 miles and 5 seconds is equal to 5/3600 = 1/720 hours.

Therefore, The speed at which Neva was traveling is,

= (1.76/(1/720) miles per hour.

= 0.0024 miles per hour.

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Answer:

13 is the answer (GE) i hope this helped

A: Five people each paying $14.50 means that the total bill was \(5\cdot\$14.50=\boxed{\$72.50}.\)

B: Subtract the number of people he already has from the number of people he needs to get \(42-29=\boxed{13}\) people.

C: Divide 96 by 8 to get \(\boxed{12}\) packs.

Arithmetic is where it all begins, y'know?

Answer:

Hope this helps though I m not sure about the first one since I got another answer 72.5 but it isn't there

Answer: (A)

\(H_0:\mu=75\\H_a:\mu\neq75\)

(B)

\(H_0:\mu=24\ sec\\H_a:\mu>24\ sec\)

(C)

\(H_0:\mu=850\ ft^2\\H_a:\mu<850 \ ft^2\)

Step-by-step explanation:

(A)  Objective: Scores in second-year calculus are scaled so the average each year is equivalent to a 75 or not.

\(H_0:\mu=75\\H_a:\mu\neq75\)

(B) Objective: The mean time is 24 seconds or more for one particular maze.

\(H_0:\mu=24\ sec\\H_a:\mu>24\ sec\)

(C) Objective: The average square footage of one-bedroom apartments in a new student-housing development is advertised to be 850 square feet or smaller.

\(H_0:\mu=850\ ft^2\\H_a:\mu<850 \ ft^2\)

Answer:

y = -1/2x + 2

Step-by-step explanation:

If you are talking about a linear equation then b=2

The slope is y2 - y1 / x2 - x1 so 2-0/0-4 = 2/-4 = -1/2

So put it all together in y = mx + b so y = -1/2x + 2

The slope of the curve  y⁴ = y² - x² is 1 and repeat the process for the second point.

Find the slopes of the curve y⁴ = y² - x² at the given points, we need to differentiate the equation implicitly with respect to x.
Differentiating both sides of the equation with respect to x, we get:
4y³ * (dy/dx) = 2y * (dy/dx) - 2x
Next, we can solve for (dy/dx) by isolating it on one side of the equation:
4y³ * (dy/dx) - 2y * (dy/dx) = -2x
(2y - 4y³) * (dy/dx) = -2x
(dy/dx) = -2x / (2y - 4y³)
Now, substitute the x and y values for each point into the equation to find the slopes at those points.
For example, if one point is (1, 1), we substitute x = 1 and y = 1 into the equation:
(dy/dx) = -2(1) / (2(1) - 4(1)³)
(dy/dx) = -2 / (2 - 4)
(dy/dx) = -2 / -2
(dy/dx) = 1
Repeat the process for the second point, and you will have the slopes of the curve at both points.

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The distance between the pair of points is  8.1 units and the distance between the pair of points is  2.2 units

Question 11

The coordinates of the points are given as:

(-4, -1) and (3, 3)

The distance between the pair of points is calculated as:

d = √[(x2 - x1)² + (y2 - y1)²]

Substitute the known values in the above equation

d = √[(-4 - 3)² + (-1 - 3)²]

Evaluate

d = √65

Evaluate the exponents

d = 8.1 units

Hence, the distance between the pair of points is  8.1 units

Question 12

The coordinates of the points are given as:

K(2, 3) and F(4,4)

The distance between the pair of points is calculated as:

d = √[(x2 - x1)² + (y2 - y1)²]

Substitute the known values in the above equation

d = √[(2 - 4)² + (3 - 4)²]

Evaluate

d = √5

Evaluate the exponents

d = 2.2 units

Hence, the distance between the pair of points is  2.2 units

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When matched, the prompts on asymptotes would be:

The presence of a vertical asymptote at x=0 signifies that the cost of producing pills can never reach a value of 0, remaining persistently positive. Simultaneously, the horizontal asymptote at y=0 serves as a reassuring indication that the cost of producing pills cannot be negative, as it steadfastly remains at or above zero.

This crucial constraint ensures that the cost incurred in the pill production process is always a non-negative quantity. Consequently, the prompt related to the impossibility of negative costs aligns with this notion.

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A translation of the sentence "Six times the sum of a number and 26 is greater than or equal to 24" is 6(x + 26) ≥ 24.

In order to translate a word problem into an algebraic expression, we would have to assign a variable to the unknown number:

Let the variable x represent the unknown number.

By translating the word problem into an algebraic expression, we have the following;

Six times the sum of a number and 26 is 6(26 + x)

6(26 + x) ≥ 24

Next, we would collect like-terms and rearrange the expression as follows;

6(26 + x) ≥ 24

26 + x ≥ 4

x ≥ -22

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Answer:

7. 14

15. 30

28. 56

32. 64

18 36

x 2x

1/2y. y

2x. 4x

x+3 2x+9

Step-by-step explanation:

each out is double the in

The transformation illustrated in the figure is translation.

Translation is a Transformation process in which the size or shape of a figure is not changed rather it only changes the coordinates of the vertices that make up that shape by moving them from one point to another.

Analysis:

Both shapes are congruent, since all the vertices remain in their respective positions even though they were moved and no change in the shape or size, then the transformation process is Translation.

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Answer:

So assuming he used 1.25 cups of water per batch then to complete 3 batches

The length of section of pipe on the construction plan on conversion of units from feet to inches, 7 feet 5 1/8 inches will be 7.427 feet. On rounding off to the two places after decimal the length will be 7.43 feet.

We know that 1 foot = 12 inches. In order to convert feet into inches we'll multiply the given number by 12. Similarly to convert given inches to feet, we'll divide the given number by 12.

Here the length of pipe= 7 feet 5 1/8 inches

To convert 5 1/8 inches to feet: Divide by 12 {1 foot =12 inches}

                   =\(\frac{41}{8\\}\) ÷ 12

                   =\(\frac{41}{8}\) × \(\frac{1}{12\\}\)

5 1/8 inches =\(\frac{41}{96\\}\) feet

Now, 7 feet 5 1/8 inches = 7 feet + \(\frac{41}{96} \\\) feet

                                        = 7 feet + 0.4270 feet

                                        =7.4270 feet

                                        =7.43 feet

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Answer:

i think C

Step-by-step explanation:

The combined area of the given figure will be 40 square inches.

The area is defined as the space covered by the object in two-dimensional space.

The area of a rectangle with a length of 7 inches and a width of 5 inches is given by:

Area of rectangle = length x width = 7 in x 5 in = 35 square inches

The area of a triangle with a base of 5 inches and a height of 2 inches is given by:

Area of triangle = (1/2) x base x height = (1/2) x 5 in x 2 in = 5 square inches

Therefore, the combined area of the rectangle and triangle is:

35 square inches + 5 square inches = 40 square inches

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The GCD of 5! and 7! is 2^3 * 3^1 * 5^1 = 120.

the greatest common divisor of 5! and 7! is 120.

To find the greatest common divisor (GCD) of 5! and 7!, we need to factorize both numbers and identify the common factors.

First, let's calculate the values of 5! and 7!:

5! = 5 * 4 * 3 * 2 * 1 = 120

7! = 7 * 6 * 5 * 4 * 3 * 2 * 1 = 5,040

Now, let's factorize both numbers:

Factorizing 120:

120 = 2^3 * 3 * 5

Factorizing 5,040:

5,040 = 2^4 * 3^2 * 5 * 7

To find the GCD, we need to consider the common factors raised to the lowest power. In this case, the common factors are 2, 3, and 5. The lowest power for 2 is 3 (from 120), the lowest power for 3 is 1 (from 120), and the lowest power for 5 is 1 (from both numbers).

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The inequality that represents the number of each type of calculator she can buy will be 25x + 65y ≤ 800

Given that teacher needs to purchase some scientific calculators for $25 each and some graphing calculators for $65 each.

Consider that x equal the number of scientific calculators and y equal the number of graphing calculators she buys She can only spend up to $800 for the calculators.

The inequality that represents the situation becomes as;

25x + 65y ≤ 800

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.03

in 0.932, if you take away each number except 3, you'll be left with 0.030 or .03