How are the properties of exponents used when dividing a polynomial by a monomial?

Answer:

you have  to divide 12 by 15

Step-by-step explanation:

Answer:

The answer is 144

The value of x from the given equation is 144. Therefore, option C is the correct answer.

Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.

The given expression is \((x^{\frac{1}{8} })(x^{\frac{3}{8} })\).

Using exponent formula aⁿ×aˣ=aⁿ⁺ˣ we get

\((x^{\frac{1}{8} })(x^{\frac{3}{8} })\) = \(x^{\frac{1}{8} +\frac{3}{8} }\)

= \(x^{\frac{4}{8}}\)

= \(x^{\frac{1}{2}}\)

The simplified expression is equal to 12.

So, \(x^{\frac{1}{2}}\)=12

Squaring on both side, we get

x=12²

x=144

Therefore, option C is the correct answer.

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Laurel must increase her net income to $10,000 in order to keep her housing costs at 25%.

To determine how much Laurel must increase her net income in order to keep her housing costs at 25%, we need to know the following information:

The amount of Laurel's new mortgage, which is $2500

The percentage of Laurel's net income that she wants to use for housing costs, which is 25%

To find the amount of net income that Laurel needs to maintain a housing cost of 25%, we can use the following formula:

Net income = Mortgage / (Housing cost percentage)

Substituting the values from the problem, we get:

Net income = $2500 / (25/100)

Net income = $2500 / 0.25

Net income = $10,000

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Laurel must increase her net income to $10,000 to keep her housing costs at 25%.

The amount of Laurel's new mortgage is $2500

The percentage of Laurel's net income that she wants to use for housing costs, which is 25%

To find the amount of net income that Laurel needs to maintain a housing cost of 25%, we can use the following formula:

Net income = Mortgage / (Housing cost percentage)

Substituting the values from the problem, we get:

Net income = $2500 / (25/100)

Net income = $2500 / 0.25

Net income = $10,000

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100 in^2 bc you have to do l x w x h

yttdfh;;;;;;;;////////////////

That's what you said but backwards :P

Answer:

Experimental probability

Your Welcome

Answer:

f(g(x))=9-x-\(x^{2}\)

Step-by-step explanation:

Given ,

f(x)=9-x

g(x)=\(x^{2}\) +x

here,.

fog

=f(g(x))

=f(\(x^{2}\) +x)

=9-(\(x^{2}\) +x)

=9-\(x^{2}\) -x

=9-x-\(x^{2}\)

Answer:

too blurry pls send new pic

Step-by-step explanation:

The height of the lean-to on its vertical side is 8 feet.

To find the height of the lean-to on its vertical side, we need to use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, the vertical side is the hypotenuse, and the length and width are the other two sides.

So, we have:

\(height^2 = hypotenuse^2 - width^2\)

We know the length of the roof (the hypotenuse) is 17 feet, and the width is 15 feet. So we can plug these values into the equation and solve for the height:

\(height^2 = 17^2 - 15^2\\height^2 = 289 - 225\\height^2 = 64\\height = 8\)

Therefore, the height of the lean-to on its vertical side is 8 feet.

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Using the following building blocks in the right column to assemble a direct proof that the product of two odd numbers is odd, we have:

A mathematical proof is an inferential justification for a mathematical claim that demonstrates how the premises logically support the conclusion.

The direct proof has been assembled above,

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However, a correlation between two variables does not always imply that a change in one variable is the reason for a change in the values of the other. There is a causal link between the two occurrences, which means that causation shows that one event is the outcome of the occurrence of the other event.

Causal relationships between variables may consist of direct and indirect effects. Direct causal effects are effects that go directly from one variable to another. Indirect effects occur when the relationship between two variables is mediated by one or more variables.

Direct and indirect effects may make up causal connections between variables. Effects that flow directly from one variable to another are referred to as direct causal effects. When one or more factors mediate the link between two variables, indirect effects result.

What are examples of causal relationships?

Causal relationships: A causal generalization, e.g., that smoking causes lung cancer, is not about an particular smoker but states a special relationship exists between the property of smoking and the property of getting lung cancer.

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Using the Poisson distribution, it is found that:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

The parameters are:

In this problem, the mean is of \(\mu = 16\), hence the probability of 15 patients in a day is given by:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

\(P(X = 15) = \frac{e^{-16}16^{15}}{(15)!} = 0.0992\)

Hence the mean number of days in a month (30 days) with 15 patients visiting is given by:

M = 30 x 0.0992 = 2.976.

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Note that the sum of the angles in a triangle is always 180 degrees.

So it follows that :

The triangle has a right angle at G, and a right angle measures 90 degrees.

angle F = 4x + 15

and

angle H = 3x + 12

Substitute the angle values to the formula and solve the value of x :

Now we have the value of x, substitute this value to the angles.

Therefore, the angles are :

F = 51 degrees

G = 90 degrees

H = 39 degrees

Answer:

181/140

Step-by-step explanation:

3/4 = 15/20

2/5 = 8/20

15/20 + 8/20 = 23/20

23/20 = 161/140

1/7 = 20/140

161/140 + 20/140 = 181/140

No estoy completamente segura pero creo que es correcta

Answer:

24%

Step-by-step explanation:

please mark me brainiest hope this helps

The percentage of the shape that is orange is 24%.

To get the percentage of the shape that is orange, we need to find the quotient between the number of orange squares and the total number of squares, and multiply that by 100%.

Then the percentage of the shape that is orange is:

P = (12/50)*100% = 24%

Then we can conclude that 24% of the shape is orange.

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A sample is a subset of a population, containing the individuals that are actually observed.

In statistical analysis, a sample is a representative subset of a larger population. When studying a population, it is often impractical or impossible to gather data from every individual within that population. Instead, a sample is selected to provide insights into the characteristics, behavior, or properties of the entire population.

Samples are chosen using various sampling methods, such as random sampling, stratified sampling, or convenience sampling, depending on the research objective and available resources. The goal is to ensure that the sample is representative of the population, so that any observations or conclusions drawn from the sample can be generalized to the larger population.

Samples allow researchers to make inferences about the population based on the observed data. By analyzing the characteristics of the sample, statistical techniques can be applied to estimate population parameters, test hypotheses, and draw conclusions about the population as a whole. The validity and reliability of these inferences depend on the quality and representativeness of the sample selected.

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It would take Tracy and Dave approximately 4.8 hours to complete the task together. So, the correct option is C.

To solve this problem, we can use the formula:

time = work / rate

where work is the amount of work to be done (in this case, collecting signal strength data from each house), and rate is the rate at which the work is being done.

Let's start by finding Tracy's and Dave's individual rates:

Tracy's rate: 1 job / 8 hours = 0.125 jobs per hour

Dave's rate: 1 job / 12 hours = 0.0833 jobs per hour

Now, let's find their combined rate when they work together:

Combined rate = Tracy's rate + Dave's rate

Combined rate = 0.125 + 0.0833

Combined rate = 0.2083 jobs per hour

Finally, we can use the formula time = work / rate to find how long it would take them to complete the task together:

time = 1 job / 0.2083 jobs per hour

time ≈ 4.8 hours

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To find the y-coordinate of point P on the unit circle, given that its x-coordinate is 5/13, we can utilize the Pythagorean identity for points on the unit circle.

The Pythagorean identity states that for any point (x, y) on the unit circle, the following equation holds true:

x^2 + y^2 = 1

Since we are given the x-coordinate as 5/13, we can substitute this value into the equation and solve for y:

(5/13)^2 + y^2 = 1

25/169 + y^2 = 1

To isolate y^2, we subtract 25/169 from both sides:

y^2 = 1 - 25/169

y^2 = 169/169 - 25/169

y^2 = 144/169

Taking the square root of both sides, we find:

y = ±sqrt(144/169)

Since we are dealing with points on the unit circle, the y-coordinate represents the sine value. Therefore, the y-coordinate of point P is:

y = ±12/13

So, the y-coordinate of point P can be either 12/13 or -12/13.

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When we pool the variances of two samples, we are essentially combining the information from both samples to estimate the variance of the population from which they were drawn.This pooling allows us to increase the precision of our estimate but also requires us to adjust the degrees of freedom for our statistical test.

In general, when we compare two means using a t-test, we calculate a t-statistic that follows a t-distribution with degrees of freedom equal to N1 + N2 – 2. This formula takes into account the fact that we are estimating two unknown population variances from our sample data, and therefore need to adjust our degrees of freedom to account for the extra uncertainty.

When we pool the variances, we essentially use a weighted average of the two sample variances to estimate the population variance. This combined estimate is more precise than either sample variance alone, and therefore reduces the uncertainty in our statistical test. As a result, we gain additional degrees of freedom, which can improve the power and accuracy of our hypothesis test.

Specifically, when we pool the variances, we estimate a common variance that is assumed to be the same for both populations. This reduces the total number of unknown parameters we need to estimate, and therefore increases the effective sample size of our test. The adjustment to degrees of freedom reflects this increased precision and reduces the chance of a Type I error (false positive) in our hypothesis test.

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The standard form of the equation of the parabola with the given characteristic(s) and vertex at the origin is:

\(y=-\frac{1}{3}x^{2}\)

What is the equation of the parabola with a vertex at the origin and a vertical axis, which passes through the point (-3, -3)?

The equation of the parabola in standard form is \(y=-\frac{1}{3}x^{2}\). This equation represents a parabola with a vertex at the origin (0, 0) and a vertical axis. Additionally, it passes through the point (-3, -3), satisfying the given characteristics.

To find the standard form of the equation of a parabola with a vertex at the origin and a vertical axis, we can use the general equation of a parabola:

y=\(a(x-h)^{2}\)+k

where (h, k) = the vertex of the parabola.

Since the vertex is at the origin , the equation becomes:

y=a\(x^{2}\)

Now, we need to find the value of 'a' using the given point on the parabola (-3, -3).

These values are satisfied the equation, we have:

\(-3=a(-3)^2\)

Simplifying:

−3=9a

Dividing both sides by 9:

\(a=-\frac{1}{3}\)

Therefore, the standard form of the equation of the parabola with the given characteristic(s) and vertex at the origin is:

\(y=-\frac{1}{3}x^{2}\)

Hence, the equation  in standard form is:\(y=-\frac{1}{3}x^{2}\)  

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Using implicit differentiation for x^2 + 3y^2 = 3 simplifying wherever possible, y″ = (-6y^2 - 2x^2) / (3y^3)

To find y″ by implicit differentiation, we will first take the derivative of both sides of the equation x^2 + 3y^2 = 3 with respect to x, using the chain rule for the term involving y:

2x + 6y y′ = 0

Next, we will take the derivative of this equation with respect to x, again using the chain rule for the term involving y:

2 + 6y y″ + 6y′^2 = 0

We can simplify this equation by solving for y″:

y″ = (-2 - 6y′^2) / (6y)

Now we need to substitute the expression for y′ in terms of x and y:

y′ = (-x) / (3y)

Therefore, we have:

y″ = (-2 - 6((-x) / (3y))^2) / (6y)

Simplifying the expression inside the parentheses:

((-x) / (3y))^2 = x^2 / (9y^2)

Multiplying by 6 and factoring out the common term of x^2:

y″ = (-2 - 2x^2 / 3y^2) / y

Simplifying further by multiplying both the numerator and the denominator by 3y^2:

y″ = (-6y^2 - 2x^2) / (3y^3)

Thus, we have obtained the expression for y″ in terms of x and y.

In summary, to find y″ by implicit differentiation, we first take the derivative of the given equation with respect to x, then take the derivative of the resulting equation with respect to x again, and solve for y″.

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The expression 126 \(m^4\) - 63\(m^3\) is equivalent to the given expression                  7m² * (2m -1 )*(m9).

The properties of multiplication are:

There are different power rules, see some them:

1. Multiplication with the same base: you should repeat the base and  add the exponents.

2. Division with the same base: you should repeat the base and  subctract the exponents.

3.Power. For this rule, you should repeat the base and multiply the exponents.

4. Zero Exponent. When you have an exponent equals to zero, the result must be 1.

Here, you should apply the distributive property and power rules for solving this expression and finding an equivalent expression.

First, you should multiply the factors (2m -1)*(9m). As result, you find 18m²-9m.

After that, you should do the product between the previous result (18m²-9m) and the factor 7m². Thus,

(18m²-9m) * 7m²= 126 \(m^4\) - 63\(m^3\).

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Answer: 130% increase

Answer:

130%

Step-by-step explanation:

140+130%=$322

Answer:

imma say the answer is 6

Step-by-step explanation:

hi im back

Answer:

14

Step-by-step explanation: hope this helps :)

The solution of the system of equation are (1,8) and (0, 6)

-2x² + y = 6

4x² + 3y = 28

Therefore,

-4x² + 2y = 12

4x² + 3y = 28

5y = 40

y = 40 / 5

y = 8

Therefore,

-2x² + 8 = 6

-2x² = -2

x² = 1

x = 1

2(0)² + y = 6

y = 6

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Answer:

D. (-1, 8) and (1,8)

Step-by-step explanation:

I took the math exam