The figure below is a parallelogram. Find the measure of the
variable

Answer:

8 and -10

Step-by-step explanation:

B. x = 8 and x = -10

Answer:

n-21

Step-by-step explanation:

n is the unknown value which you subtract 21 from to get your answer

Answer:

Slope of a perpendicular line:
\(\boldsymbol{\dfrac{1}{9}}\)

Slope of a parallel line:
\(\boldsymbol{-9}\)

Step-by-step explanation:

A line perpendicular to a line y = mx + b will have its slope as\(-\dfrac{1}{m}\)
Here slope of given line = -9
\(\displaystyle \mathrm {reciprocal\; of\;} -9 = -\dfrac{1}{9}\)

\(\mathrm {negative\; of \;reciprocal\;}= -\left(-\dfrac{1}{9}\right) = \dfrac{1}{9}\\\)

parallel lines have the same slope so a parallel line will have slope = -9

Answer:

6x-y=4 is the answer.........

The value of x is obtained as follows:

128º.

The measure of angle A is given as follows:

m < A = 132º.

For a parallelogram, the opposite angles are congruent, meaning that they have the same measure, hence the value of x is obtained as follows:

5x - 508 = x + 4.

4x = 512

x = 512/4

x = 128.

Then the measure of angle A is given as follows:

m < A = 5(128) - 508

m < A = 132º.

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Answer:

A theorem is a statement that can be demonstrated to be true by accepted mathematical operations and arguments. In general, a theorem is an embodiment of some general principle that makes it part of a larger theory. The process of showing a theorem to be correct is called a proof.

Step-by-step explanation:

:)

Answer:

A theorem is a statement that can be demonstrated to be true by accepted mathematical operations and arguments. In general, a theorem is an embodiment of some general principle that makes it part of a larger theory. The process of showing a theorem to be correct is called a proof.

If the correlation between two variables is .496, 75.4%. much of the variance has not been accounted for.

What is variable?

In the context of statistics and mathematics, a variable is a characteristic or quantity that can vary or take different values.

The correlation coefficient, which ranges from -1 to 1, measures the strength and direction of the linear relationship between two variables. If the correlation between two variables is 0.496, it indicates a moderate positive correlation.

The coefficient of determination, also known as R-squared, represents the proportion of the variance in one variable that can be explained by the other variable. In this case, if the correlation is 0.496, then the coefficient of determination is \((0.496)^2 = 0.246.\)

Therefore, 24.6% of the variance has been accounted for by the correlation, and the remaining 75.4% of the variance has not been accounted for.

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um.. it’s just a black picture. :>

Hello!

Let the number be x.

We multiply it by 5:

5x

Subtract 3:

5x-3

Hope it helps. Ask me if you have any query.

~An excited gal

\(MagicalNature\) here to  help

Step-by-step explanation:

2x + 9 = 35

→ 2x = 35 - 9 = 26

→ x = 26/2 = 13

→ x = 13

therefore, option A is correct

4 + | 7 - m | = 5

→ | -m + 7 | = 5 - 4

→ - m + 7 = 1 ( however or (only) m < 7 )

→ ( -m + 7 ) ( however or only m ≥ 7 )

→ m = 6 and m = 8

therefore, Option B is correct.

3t + 3/5 = 6

→ 3t + 3 = 6 × 5 = 30

→ 3t = 30 - 3 = 27

→ t = 27/3 = 9

→ t = 9

6(d + 1) - 2d = 54

→ 6d + 6 - 2d = 54

→ 4d + 6 = 54

→ 4d = 54 - 6 = 48

→ d = 48/4 = 12

→ d = 12

-110 = 13 + 3(4h - 6)

→ -110 = 13 + 12h - 18

→ -12h = 13 - 18 + 110

→ -12h = 105

→ h = 105/12

→ h = 8.75

hope this answer helps you dear!..

Answer:

0,1

2,2

4,3

6,4

Step-by-step explanation:

Some Examples

4 = 1/2 (6) + 1

4 = 3 + 1

4=4

----------

2 = 1/2 (2) + 1

2 = 1 + 1

2 = 2

h

0

2

4

6

...................

the size of the goldfish such that 95 percent of the goldfish are smaller is approximately 2.91 inches.

To find the size of a goldfish such that 95 percent of the goldfish are smaller, we need to find the corresponding z-score for the desired percentile in a standard normal distribution.

Since we want 95 percent of the goldfish to be smaller, we are looking for the z-score that corresponds to the cumulative probability of 0.95. This corresponds to a z-score of approximately 1.645.

The formula for converting a z-score to an actual value in a normal distribution is:

x = μ + z * σ

where x is the actual value, μ is the mean, z is the z-score, and σ is the standard deviation.

In this case, the mean (μ) is 2.5 inches and the standard deviation (σ) is 0.25 inches.

Using the formula, we can calculate the size of the goldfish:

x = 2.5 + 1.645 * 0.25 = 2.9125

Rounding to two decimal places, the size of the goldfish such that 95 percent of the goldfish are smaller is approximately 2.91 inches.

Therefore, the correct answer is 2.91 inches.

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Answer:

\(20\)

Step-by-step explanation:

Let \(x\) = games played in total

From the fact that \(15\%\) of the games the team played is equivalent to \(3\) games, we can write:

\(15\%x = 3\)

\(x=3\div 15\%\)

\(=20\)

∴ Lola's hockey team played a total of 20 games.

Hope this helps :)

Answer:

$200

Step-by-step explanation:

30 * 5=150 +50=200

The probability that the sample proportion will be 0.104.

What is Probability?
Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something has been likely to happen is basically what probability means. You will learn the potential outcomes for just a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total list of answers is necessary before we can calculate the likelihood that a specific event will occur.

Given that

p= 0.06

1 - p = 1 + 0 * 6 = 0 * 94

n = 221

p' = p = 0.06

sigma( p) = \(\sqrt{\frac{P(1 - P))}h{} }\)

= \(\sqrt{\frac{0.06*0.94}{221} }\)

=0.0159

p( p' > 0.1 )=1-p( p' <0.1)

= 1 - p(z < 2.51)

=1- .896

= 0.104

Hence the Probability will be 0.104

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Option B. $9,255.75, Only option (b) includes a value close to $1,000, which is the present value of the infinite stream of

To find the present value of an infinite stream of cash flows, we can use the formula:

PV = CF / r

where PV is the present value, CF is the cash flow per period, and r is the interest rate per period.

In this case, CF = $100 (received at the end of each year forever) and r = 10%.

Plugging in the numbers, we get:

PV = $100 / 0.10 = $1,000

So the present value of the infinite stream of cash flows is $1,000.

However, we need to adjust for the fact that the cash flows are received at the end of each year, not at the beginning. To do this, we can use the formula:

PV = CF / (r - g)

where g is the growth rate of the cash flows, which in this case is 0 (since the cash flows are constant).

Plugging in the numbers, we get:

PV = $100 / (0.10 - 0) = $1,000

So the present value of the infinite stream of cash flows received at the end of each year is also $1,000.

Therefore, the answer must include the present value of an infinite stream of cash flows. Only option (b) includes a value close to $1,000, which is the present value of the infinite stream of cash flows.

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Answer:

Find two points on the line and write them out: (x1,y1) (x2,y2)

Use this formula: y2-y1/x2-x1

The answer you get is the slope which is "m" in y=mx+b

Now in y=mx+b plug in one point's y into y and x into x. 

Find b

Answer:

Use points from the graph to create a table of data points. Then find a rule for the data in the table and write an equation that represents that rule. Lastly, check that the equation holds true for other data points in the table or graph.

Step-by-step explanation:

The length of the diagonal side is 82, or answer (d) in its simplest radical form.

The Pythagorean Theorem must be utilized in order to determine the length of the diagonal side of a square with a length of 8 feet. You can use the formula a2 + b2 = c2, where a and b are the sides of the triangle and c is the hypotenuse, since the diagonal side of the square is. Because a and b are both 8 feet, you can use those numbers to solve for c:

82 + 82 = c2 64 + 64 = c2 128 = c2 The length of the diagonal side is 82, or answer d in its simplest radical form.

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Answer:

x = 33

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 angles from 180 for x

x = 180 - (90 + 57) = 180 - 147 = 33

The algebraic expression representing her employee's contribution to Social Security Tax is given as follows:

p > 516.67.

The algebraic expression representing her employee's contribution to Social Security Tax is obtained applying the proportions in the context of the problem.

An year is composed by 12 months, hence the monthly salary is represented as follows:

p > 100000/12

p > 8,333.33.

The Social Security tax is of 6.20%, hence the expression is given as follows:

p > 8,333.33 x 0.062

p > 516.67.

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From the given information provided, the value for the marginal revenue when 24 units are sold is $160.

A derivative in mathematics is a measurement of the change in a function with changing input. It is a fundamental idea in calculus and is used to determine curve slopes, rates of change, and other crucial mathematical characteristics of functions.

Marginal revenue is the additional revenue generated by selling one additional unit of a product.

The marginal revenue is the derivative of the revenue function with respect to the quantity sold, evaluated at a specific quantity. In this case, we have:

R(q) = -5q² + 400q

Taking the derivative with respect to q, we get:

\(\frac{dR}{dq} = -10q + 400\)

To find the marginal revenue at 24 units, we evaluate this expression at q = 24:

\(\frac{dR}{dq} = (-10*(24)) + 400 = 160\)

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Nintendo switch dock = 15.60%

Nintendo Joy-Con = 17.53%

Nintendo Joy-Con Wrist Straps = 3.15%

Nintendo Joy-Con Grip = 7.01%

High Speed 4k HDMI Cable 6 Feet = 1.51%

Nintendo Switch AC Adapter = 2.60%

Nintendo Switch Console = 52.59%

The source is 8 feet away if the light is 5 foot candles in intensity.

If the intensity of light varies inversely as the square of x, we can set up the following equation to represent the relationship:

Intensity = k / (x^2),

where k is the constant of variation.

Given that the intensity of light 4 feet from the source is 20 foot-candles, we can substitute these values into the equation to solve for k:

20 = k / (4^2),

20 = k / 16.

To find the value of k, we can multiply both sides of the equation by 16:

20 * 16 = k,

k = 320.

Now we can use this value of k to find the distance x when the intensity of light is 5 foot-candles:

5 = 320 / (x^2).

To solve for x, we can rearrange the equation:

x^2 = 320 / 5,

x^2 = 64.

Taking the square root of both sides, we get: x = √64,

x = 8.

Therefore, if the intensity of light is 5 foot-candles, the source is located 8 feet away.

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One common unit of measure that serves as a conversion factor between linear and angular measurements is the radian (rad).

A radian is defined as the angle subtended at the center of a circle by an arc of the circle equal in length to the radius of the circle.

Since the circumference of a circle is 2π times the radius, there are 2π radians in a full circle. Therefore, one can use the following conversion factors

1 radian = 180/π degrees (approx. 57.3 degrees)

1 degree = π/180 radians (approx. 0.01745 radians)

These conversion factors allow you to convert between linear measurements (such as arc length or circumference) and angular measurements (such as angles in degrees or radians) when dealing with circular motion or rotational systems.

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Answer:he needs to wait 19 more weeks for the XBOX

Step-by-step explanation:

It's quite simple actually all you need to do is just 20x19 and you get 380 and then just add your 120 and you got 500 hope this helps :D

The total business deduction related to the business use of the car would be $6,160, which represents the deductible vehicle expenses calculated based on the standard mileage rate.

To determine the total business deduction related to the business use of the car, we need to calculate the deductible expenses based on the percentage of business use.

First, let's calculate the deductible vehicle expenses using the standard mileage rate. In 2021, the standard mileage rate was $0.56 per mile.

John used the vehicle for 11,000 business miles (70% of total miles). Therefore, the deductible vehicle expenses can be calculated as follows:

Deductible Vehicle Expenses = Business Miles × Standard Mileage Rate

                             = 11,000 miles × $0.56 per mile

                             = $6,160

Next, let's consider the interest expense and county property tax paid on the car. Since these expenses are not directly related to the business use of the vehicle, they cannot be deducted as a business expense.

Therefore, the total business deduction related to the business use of the car would be $6,160, which represents the deductible vehicle expenses calculated based on the standard mileage rate.

It's important to note that tax deductions can be subject to specific rules and limitations, and it's advisable for John to consult with a tax professional or accountant to ensure accurate reporting and compliance with applicable tax laws and regulations.

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The matrix representing the relation r^4 is m^4, where m is the matrix representing relation r.

To find the matrix representing the relation r^4, we need to perform matrix multiplication of the matrix m four times. Let's denote the matrix representing the relation r as m. To calculate r^4, we multiply m by itself four times, i.e., m^4.

Each multiplication represents the composition of the relation with itself. We perform matrix multiplication of m with itself, then multiply the resulting matrix by m again, and repeat this process for a total of four times. The final result is the matrix m^4, which represents the relation r^4.

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There are 11,440 ways to distribute 7 identical flyers into 10 different mailboxes, where each mailbox receives at most one flyer.

If we are allowed to put at most one flyer per mailbox and the flyers are identical, this problem involves distributing identical objects into distinct containers. The solution can be obtained using the stars and bars method.

We can represent the distribution of flyers as 7 stars (representing the flyers) and 9 bars (representing the dividers between the mailboxes). The number of ways to distribute the flyers is equal to the number of ways to arrange the 7 stars and 9 bars, which is given by the binomial coefficient:

${{7 + 9}\choose{9}} = {{16}\choose{9}} = \frac{16!}{9!7!} = 11440$

Therefore, there are 11,440 ways to distribute 7 identical flyers into 10 different mailboxes, where each mailbox receives at most one flyer.

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The question is incomplete but probably the full question is:

We want to distribute 7 flyers to 10 different mailboxes. How many ways can we do that if (a) We put at most one flyer per mailbox and the flyers are identical?