Mrs. Johnson earned $31,500.00 in salary this year. Her salary will increase by 10% next year. Mrs. Johnson is paid on a monthly basis. By how much will her monthly salary increase when she receives her raise?

Answer:

X^13Y^12Z^17

Step-by-step explanation:

Answer:

x^13y^12z^17

Step-by-step explanation:

-(-xy^2z^3)^5(x^4yz)^2

-(-x)^5 x y^10z^15 x^8y^2z^2

calculate the product

-(-x)^5 x x^8y^12z^17

a negative base raised to an odd power equals a negative

x^5 x x^8 y^12 z^17

x^13 y^12 z^17

Answer:

its -13 trust me

Step-by-step explanation:

Answer:

t ≤ -13

Step-by-step explanation:

Pull out like factors :

-5t - 65  =   -5 • (t + 13)

Divide both sides by  -5

Remember to flip the inequality sign:

Solve Basic Inequality :

Subtract  13  from both sides

t ≤ -13

A
-------------------------------------------------------

bc it is an integer but not whole numbers

Answer:

3y+x = 3

Step-by-step explanation:

for the point ( 3,0)

x=3 , y= 0

the equation for the line is given as

y-y1= m(x-x1)

for perpendicular ,

m= -1/x

so

y-0 = -1/3(x-3)

3y= -x +3

3y+x=3

Answer: 5x - 3y = 15

Step-by-step explanation: was correct on edge test.

Answer:

212.

Step-by-step explanation:

Given: 3m^2 + 2p^2 - 15

When m = 3 and p = 10

Substituting the values

= 3(3)^2 + 2(10)^2 - 15

By further calculation

= 3(9) + 2(100) - 15

So we get

= 27 + 200 - 15

= 212

Therefore, the value of the expression is 212.

Answer:

no

Step-by-step explanation:

because it is not equal numbers

Correct options are A, B and E. the slopes of all right triangles that could lie on a line with a slope of 2/5 are 4/10, 6/15, 8/20.

An illustrative triangle known as a slope triangle can be used to determine the slope of a line or line segment. You are interested in learning the slope of the line that forms the triangle's hypotenuse (the diagonal). The "rise" and "run" in the slope formula serve as the triangle's two "legs." Rise/run is the definition of a slope.

We must keep in mind that slope is connected to the tangent of the angle of direction of the line in order to locate comparable triangles with a slope of 2/5.

As a result, the angle A in each graph has the relationship: tan A = m, where m is the slope.

Now, we are aware because to trigonometric justifications

Tan A = opposite leg /  adjacent leg,

Tan A =  2/5.

So, we can infer that the proportion is 2/5,

By observing, we concluded that 4/10, 6,15, 8/20 have similar slope.

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Draw two examples of different right triangles that could lie on s line with a slope of 2/5

Step-by-step explanation:

I guess you mean it is

12 cm long, 4cm wide and 5 cm high.

and the fabric goes outside on the box ? strange, but ok.

a box (like a die) has 6 sides in the form of 3 pairs of equal rectangles :

top-bottom, left-right, front-back

the surface area is the sum of all 6 rectangles.

top-bottom :

2 × 12×4 = 2 × 48 = 96 cm²

left-right :

2 × 4×5 = 2 × 20 = 40 cm²

front-back :

2 × 12×5 = 2 × 60 = 120 cm²

in total

120 + 40 + 96 = 256 cm²

A trigger strategy is a strategy that specifies an action to take in response to certain observed actions by other players. In this context, a trigger strategy involves cooperating as long as the other player cooperates, but immediately defecting and pursuing a different strategy if the other player deviates from cooperation.

In the given game, the firms cannot attain the joint profit-maximizing outcome in a subgame perfect equilibrium using trigger strategies because there is no trigger that can effectively sustain cooperation in the repeated game. Both firms have an incentive to deviate and lower their price to increase their own profit.

A stick and carrot strategy combines punishment for deviating from cooperation (stick) and rewards for cooperating (carrot). In this case, a stick and carrot strategy could involve punishing the deviating firm by setting a low quantity or price in response to their deviation, while rewarding cooperation by maintaining high quantities and prices. However, it is unlikely to attain the joint-profit maximizing outcome in a subgame perfect equilibrium using stick and carrot strategies because the firms still have an incentive to deviate and lower their price to increase their own profit, even if they face punishments or rewards. Therefore, sustaining cooperation and achieving the joint-profit maximizing outcome is challenging in this repeated game.

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Answer:

Step-by-step explanation:

As triangles are similar

The ratio of the sides must be equal

so..

\(\frac{x}{8} =\frac{9}{5}\)

\(x=\frac{9*8}{5}\)

\(x=14.4\)

hope it helps...

have a great day!!

Answer:

She will save \(\$24.44\) by driving.

Step-by-step explanation:

Given: Jocelyn lives in Granite Falls. She wants to visit Megan in Spokane Valley. She can fly from Seattle to Spokane for \(\$96.20\) round trip or she can drive a total of \(650\) miles round trip. If her car gets \(25\) miles per gallon, and gas costs \(\$2.76\)/gallon.

To find: how much money will she save by driving?

Solution:

The total cost for flying Seattle to Spokane is \(\$96.20\).

Now, in order to find how much money will she save by driving, we need to first find the total cost for driving a total of \(650\) miles round trip.

So, total distance \(=650\) miles.

Car covers \(25\) miles per gallon.

So, to cover \(650\) miles, \(\frac{650}{25} =26\) gallons of gas is required.

Now, gas costs \(\$2.76\)/gallon.

Therefore, total charge \(=26\times2.76=\$71.76\).

So, total money saved\(=\$96.20-\$71.76=\$24.44\)

Hence, she will save \(\$24.44\) by driving.

Answer: 30 minutes so 1/2 hour

Step-by-step explanation:

Because 3 miles = 1 hour

1.5 times 2 = 3

divide 2 on both sides

Answer:

2 hours

Step-by-step explanation:

divide3 by 1.5 and that is how long it will take you

The null hypothesis would not be rejected and the researcher would fail to find statistical significance at the chosen alpha level of .05.

If a researcher sets the alpha level at .05 and obtains a p-value of .06, it means that the p-value is greater than the chosen significance level. The alpha level, also known as the significance level, represents the threshold for determining whether the results are statistically significant or not.

In hypothesis testing, the null hypothesis assumes that there is no significant difference or relationship between variables.

If the p-value is less than or equal to the alpha level, it suggests that there is enough evidence to reject the null hypothesis and conclude that there is a significant difference or relationship.

However, if the p-value is greater than the alpha level, as in this case with a p-value of .06, it means that the observed data does not provide sufficient evidence to reject the null hypothesis.

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False. The range of a linear transformation is a subset of the codomain, not the domain.

The domain is the set of inputs to the transformation, while the codomain is the set of possible outputs. The range is the set of actual outputs produced by the transformation. The statement "The range of a linear transformation must be a subset of the domain" is false. The range of a linear transformation is a subset of the codomain, not the domain. The domain is the set of input vectors, while the codomain contains the possible output vectors after applying the linear transformation.

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The least squares prediction equation for this data can be written as: y = 0.0006x + 6.697

where "y" is the number of software millionaire birthdays in a decade, "x" is the total number of births in the country, and the coefficients 0.0006 and 6.697 represent the slope and y-intercept, respectively. To fit a simple linear regression model relating the number (y) of software millionaire birthdays in a decade to the total number (x) of births in the country, you'll need to use the least squares method. The least squares prediction equation for linear regression is given by:
y = b0 + b1 * x
where y is the number of software millionaire birthdays, x is the total number of births, b0 is the intercept, and b1 is the slope. To find b0 and b1, you would use the following formulas:
b1 = Σ[(x - X)(y - Y)] / Σ(x - X)²
b0 = Y - b1 * X
Here, X is the mean of x values, and y is the mean of y values. After calculating b0 and b1 using your data, you can plug them into the equation to create your least squares prediction equation for the linear regression model.

To fit a simple linear regression model relating the number (y) of software millionaire birthdays in a decade to the total number (x) of births in the country, we can use the least squares method. The least squares method aims to minimize the sum of the squares of the differences between the observed values and the predicted values.
The prediction equation for this linear regression model can be written as:
y = a + bx
Where y represents the number of software millionaire birthdays in a decade, x represents the total number of births in the country, a represents the y-intercept, and b represents the slope of the line.
To find the values of a and b, we need to calculate the total number of births and the total number of software millionaire birthdays in the decade. We can then use these values to calculate the slope and y-intercept of the line.
Once we have the values of a and b, we can plug them into the equation to get the least squares prediction equation for the data. This equation will give us an estimate of the number of software millionaire birthdays in a decade based on the total number of births in the country.
Therefore, the least squares prediction equation for this data can be written as:
y = 0.0006x + 6.697 where "y" is the number of software millionaire birthdays in a decade, "x" is the total number of births in the country, and the coefficients 0.0006 and 6.697 represent the slope and y-intercept, respectively.

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Answer:

median = 9

range = 5

mode = 7

Step-by-step explanation:

median = 9 is in the middle of 10 and 8

range = 12 - 7

mode = there are 3 7s

Mode : the quantity that appears the most in a sequence
Because 7 is the number that appears the most ( 3 times ), it is the mode.

Range : the difference between the largest number and the smallest number
In this case, 12 is the biggest and 7 is the smallest -> Range = 5.

Median : the "middle number" (for example, if the sequence has 7 numbers, the 4th number will be the median. if the sequence has 8 numbers, the median will be the average of the 4th and 5th number, and of course from increasing order.)
There are 8 numbers in the sequence, from lowest to highest : 7,7,7,8,10,11,12,12.

So, the median = (8+10)/2 = 9.

Answer:

Below

Step-by-step explanation:

 b2 = 3 * b1    <===given

Area of a trapezoid =    (b1 + b2)/2    *   height      b1 and b2 are the bases

     32         =   (b1 + 3 b1)  / 2    *  4

               32 = 4b1 /2 * 4

                  32 = 8 b1

                   4 = b1    then b2 = three times this = 12 ft

Answer:

D. 135°

Step-by-step explanation:

Time is 1:30

The minute hand traveled half of full circle

The minute hand position is:

The hour hand traveled 1.5 hr ÷ 12 hr= 1/8 of full circle

The hour hand position is:

the difference between the hands:

Choice D. 135° is the correct one

3x + 2

3 (5) +2

15 + 2

There are 42 subsets of size two that contain at least one of the elements of {1, 2, 3}.

There are \(${8\choose2}=28$\) subsets of size two that can be formed from the set {1, 2, 3, 4, 5, 6, 7, 8}.

To count the number of subsets of size two that contain at least one of the elements of {1, 2, 3}, we can use the principle of inclusion-exclusion.

Let A be the set of subsets of size two that contain 1, B be the set of subsets of size two that contain 2, and C be the set of subsets of size two that contain 3. We want to count the size of the union of these three sets, i.e., the number of subsets of size two that contain at least one of the elements of {1, 2, 3}.

By the principle of inclusion-exclusion, we have:

|A ∪ B ∪ C| = |A| + |B| + |C| - |A ∩ B| - |A ∩ C| - |B ∩ C| + |A ∩ B ∩ C|

To calculate the sizes of these sets, we can use combinations. For example, |A| is the number of subsets of size two that can be formed from {1, 2, 3, 4, 5, 6, 7, 8} with 1 as one of the elements. This is equal to \(${3\choose1}{5\choose1}=15$\), since we must choose one of the three elements in {1, 2, 3} and one of the five remaining elements.

Similarly, we have:

|A| = \(${3\choose1}{5\choose1}=15$\)

|B| = \(${3\choose1}{5\choose1}=15$\)

|C| = \(${3\choose1}{5\choose1}=15$\)

|A ∩ B| = \(${2\choose1}{5\choose0}=2$\), since there are two elements in {1, 2} that must be included in the subset, and we can choose the other element from the remaining five.

|A ∩ C| = \(${2\choose1}{5\choose0}=2$\)

|B ∩ C| = \(${2\choose1}{5\choose0}=2$\)

|A ∩ B ∩ C| = \(${3\choose2}=3$\), since there are three elements in {1, 2, 3} and we must choose two of them.

Substituting these values into the inclusion-exclusion formula, we get:

|A ∪ B ∪ C|\(= 15 + 15 + 15 - 2 - 2 - 2 + 3 = 42\)

Therefore, there are 42 subsets of size two that contain at least one of the elements of {1, 2, 3}.

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Answer:

Step-by-step explanation:

Rule: (x,y) to (x+2,y-7)

The points are (-7,8), (2,5), and (3,-3).

The transformed points are (-5,1), (4,-2), and (5,-10)

The graph is attached below:

Given equation:

By using middle term factirization we get,

So, the roots are real and same.

Thus, the equation have a repeated real rools.

Answer: Option (A)

To find the percentage, we can use the following formula:

Percentage = (Part / Whole) * 100

So, $131,701.32 is approximately 16.67% of $790,207.91.

In this case, the part is $131,701.32 and the whole is $790,207.91.

Percentage = ($131,701.32 / $790,207.91) * 100

Calculating the value:

Percentage ≈ 0.1667 * 100

Percentage ≈ 16.67%

Therefore, $131,701.32 is approximately 16.67% of $790,207.91.

Alternatively, we can calculate the percentage by dividing the part by the whole and multiplying by 100:

Percentage = ($131,701.32 / $790,207.91) * 100 ≈ 0.1667 * 100 ≈ 16.67%

So, $131,701.32 is approximately 16.67% of $790,207.91.

If you have any further questions, feel free to ask!

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Answer:

There are 68,640 different ways the runners can finish first, second, and third in the race.

Concept of Permutations

The number of different ways the runners can finish first, second, and third in a race can be calculated using the concept of permutations.

Brief Overview

Since there are 42 runners competing for the top three positions, we have 42 choices for the first-place finisher. Once the first-place finisher is determined, there are 41 remaining runners to choose from for the second-place finisher. Similarly, once the first two positions are determined, there are 40 runners left to choose from for the third-place finisher.

Calculations

To calculate the total number of different ways, we multiply the number of choices for each position:

42 choices for the first-place finisher × 41 choices for the second-place finisher × 40 choices for the third-place finisher = 68,640 different ways.

Concluding Sentence

Therefore, there are 68,640 different ways the runners can finish first, second, and third in the race.

The number 24.5 in Roman numerals is XXIV. The Roman numeral system is a numeral system that originated in ancient Rome and was used in the Roman Empire and Europe until the 14th century.

It is a numeric system that uses specific letters from the alphabet to represent different numbers.To express decimal numbers in Roman numerals, a vinculum is used.

This is a horizontal line placed above the letters that represent the number being multiplied by 1000.

Therefore, to convert 24.5 into Roman numerals, we separate 24 into two parts:

20 and 4.5. 20 is represented by XX, while 4.5 is represented by the half symbol s, which is indicated by placing a horizontal line above the previous number.

Thus, 24.5 is represented as XXIVSs. Note that the use of the half symbol (s) is not universal in Roman numerals, and there are different ways to express decimal numbers in Roman numerals.

However, the use of the vinculum is one of the most common ways to represent decimal numbers in this numeral system.

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The obtained limit is identical to the limit that was specified. Therefore, the right answer is option C.

Generally, the equation for the limit  is  mathematically given as

\($\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \frac{4}{n} \sqrt{1+\frac{4 i}{n}}$.\)

The goal is to locate the zone whose area corresponds to the value supplied by the limit.

The definite integral of a function is what is used to compute the area of that function that is underneath its graph.

The limit,

\(\lim _{n \rightarrow \infty} \sum_{i=1}^{n} f(a+i \cdot \Delta x) \Delta x\)

where\($\Delta x=\frac{b-a}{n}$\) and \($x_{i}=a+i \Delta x$\) for the interval $[a, b]$, is equivalent to the integral

\(\int_{a}^{b} f(x) d x .\)

The given limit can also be written as

\(\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \sqrt{1+\left(\frac{4}{n}\right)} i \cdot \frac{4}{n} .\)

In this limit, \($\Delta x=\frac{4}{n}$\). It can be observed that\($f(a+i \Delta x)=\sqrt{1+\left(\frac{4}{n}\right)} i$\) which implies that \($a=1$ and $f(x)=\sqrt{x}$.\)

Solve the \($\Delta x=\frac{b-a}{n}$\)equation for as follows:

\(\begin{aligned}\frac{4}{n} &=\frac{b-1}{n} \\4 &=b-1 \\5 &=b\end{aligned}\)

Therefore, the specified limit may be expressed as an integral as follows:

\(\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \sqrt{1+\left(\frac{4}{n}\right) i} \cdot \frac{4}{n}=\int_{1}^{5} \sqrt{x} d x\)

Therefore, the limit that has been provided designates the area of the graph of "sqrt(x)" on the interval.[1,5]

However, none of the available choices are compatible with this choice. So, consider

\(a=0, f(x)=\sqrt{1+x}$ and $\Delta x=\frac{4}{n}$.\)

Find the value of $b$ as:

\($$\begin{aligned}\frac{4}{n} &=\frac{b-0}{n} \\4 &=b\end{aligned}$$\)

Find the value of x_{i} as:

\(\begin{aligned}&x_{i}=0+\frac{4}{n} i \\&x_{i}=\frac{4}{n} i\end{aligned}\)

$$

Thus, the integral \($\int_{0}^{4} \sqrt{1+x} d x$\) can be expressed using the equation \($\int_{a}^{b} f(x) d x=\lim _{n \rightarrow \infty} \sum_{i=1}^{n} f\left(x_{i}\right) \Delta x$\)

\(\begin{aligned}\int_{0}^{4} \sqrt{1+x} d x &=\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \sqrt{1+\frac{4 i}{n} \frac{4}{n}} \\&=\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \frac{4}{n} \sqrt{1+\frac{4 i}{n}}\end{aligned}\)

In conclusion, The obtained limit is identical to the limit that was specified. Therefore, the right answer is option C.

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CQ

The complete Question is attached below

the probability that the sample mean will be smaller than m = 22 is 0.02275.

For the given question,

A z-score measures exactly how many standard deviations a data point is above or below the mean. It allows us to calculate the probability of a score occurring within our normal distribution and enables us to compare two scores that are from different normal distributions.

Here sample size, n = 4

mean, μ = 30

standard deviation, σ = 8

The probability that the sample mean will be smaller than m = 22 is

z = \(\frac{m-\mu}{\frac{\sigma}{\sqrt{n} } }\)

⇒ z =\(\frac{22-30}{\frac{8}{\sqrt{4} } }\)

⇒ z = \(\frac{22-30}{\frac{8}{2} }\)

⇒ z = \(-\frac{8}{4}\)

⇒ z = -2

Refer the Z table for p value,

Thus for P(z < -2) is 0.02275.

Hence we can conclude that the probability that the sample mean will be smaller than m = 22 is 0.02275.

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Answer:

1. A

2. I

3. R

Step-by-step explanation:

The opposite of a number is just adding or removing a minus sign.

For -6, we just remove the - and get 6.

For 0, this is a special case. It always stays as 0, because -0 does not exist.

For 18, we just put a minus sign and get -18.