Solve for x in the triangle. Round your answer to the nearest tenth.
x
13
64°

Some theorists might categorize a stand-up comedian as a performance artist because both engage in the art of performing for an audience with the aim of entertaining and engaging them.

Performance art is a form of artistic expression that focuses on the live presence of the performer and is intended to convey a message or provoke a reaction from the audience. It can incorporate a range of media, including dance, music, theatre, and visual arts.

A stand-up comedian, on the other hand, is a performer who entertains an audience by delivering a monologue of humorous stories, jokes, and observations. While the primary aim of stand-up comedy is to make the audience laugh, the delivery of the jokes and stories can also involve a certain degree of artistry and skill in storytelling, timing, and expression.

Both performance artists and stand-up comedians engage in the art of performing for an audience, and both use their presence, voice, and body language to convey meaning and provoke an emotional response. They also rely on their ability to connect with the audience and establish a rapport with them in order to create a successful performance.

Furthermore, both performance art and stand-up comedy often involve an element of social commentary or critique, and may touch on sensitive or taboo topics in order to challenge and provoke the audience's assumptions and beliefs.

Therefore, some theorists might categorize a stand-up comedian as a performance artist because both engage in the art of performing for an audience, use their presence, voice, and body language to convey meaning and provoke an emotional response, and often incorporate an element of social commentary or critique in their performances.

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c ≤ −3 is the value of c for the inequality four fifths times c plus 3 is less than or equal to three fifths.

a relationship between two expressions or values that are not equal to each other is called 'inequality.

Given

four fifths times c plus 3 is less than or equal to three fifths.

4/5c+3≤3/5

Subtract 3 from both sides

four by five times of c less than or equal to three by five minus 3

4/5c≤3/5-3

4/5c≤-12/5

Divide both sides by 4/5

c≤-3

Hence c ≤ −3 is the value of c for the inequality four fifths times c plus 3 is less than or equal to three fifths.

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Answer:

Oh e gsaaa bdusnbdksbsgs

Answer:

true

Step-by-step explanation:

Answer:

i am not to sure but if i am corroct it IS polynomial

Step-by-step explanation:

hope this helps

Answer:

1) -4<x<0 = (-4,0)

2) x>=0 = [0, infinity)

3) 0<x<4 = (0,4)

4) -4<x<=4 = (-4,4]

5) x<=0 = (-infinity,0]

Step-by-step explanation:

Basically, we need to link inequalities with their solutions.

1) -4<x<0: solution to this inequality are all numbers between -4 and 0, or mathematically written (-4,0).

2) x>=0: solution to this are all numbers between 0 (including 0) and positive infinity, or [0, infinity)

3) 0<x<4: all numbers between 0 and 4, or in interval notation (0,4)

4) -4<x<=4: all numbers between -4 and 4 (including 4) which in interval notation is (-4,4]

5) x<=0: all the values from negative infinity to 0 (including 0), which is (- infinity,0]

Note that whenever there is symbol <= or >= we also need to include that value, and for noting that we use square bracket.

A regular hexagon can be divided into six equilateral triangles by drawing lines from the center of the hexagon to each of its vertices.

Each of these equilateral triangles has an area that is one-sixth of the total area of the regular hexagon.

When the midpoints of the sides of the regular hexagon are joined to form a smaller regular hexagon, it can be seen that the smaller hexagon is made up of six equilateral triangles, each of which has half the area of the equilateral triangles in the larger hexagon. This is because the sides of the smaller hexagon are half the length of the sides of the larger hexagon.

Therefore, the fraction of the area of the larger hexagon that is enclosed by the smaller hexagon is:

\(6 * (1/2)^2 = 6 * 1/4 = 3/2\)

This means that the smaller hexagon encloses 3/2 of the area of the larger hexagon.

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Answer: yes

Step-by-step explanation:

Answer: x = 29; RZ = 60, SW = 120

Step-by-step explanation:

If you look at the lines, RZ is half the value of SW. Knowing this, we can set up an equation like this:

2(RZ) = SW

2(2x+2) = 5x-25

By plugging in the values for RZ and SW, we can set them equal to each other and find x.

2(2x+2) = 5x-25

4x+4 = 5x-25

4 = x-25

x = 29

I think you only needed the variable, but I can provide the measures of the line, just in case:

RZ = 2x+2 ; 2(29)+2 = 60

SW = 5x-25 ; 5(29)-25 = 120

Since RZ is half of SW, we can tell we correctly determined x. Hope this helps!

The relation between x and t is 3x²+t³-y³=3C where y is the position of the object at time t.

We have to rearrange the given equation (2xdx + t²-x²dt = 0) to find a relation between x and t.

To do this, we will integrate both sides,

where:

\($$\begin{aligned}\int 2xdx + \int \left(t^2-x^2\right)dt &= \int 0\\x^2 + \frac{t^3}{3} - \frac{x^3}{3} &= C\end{aligned}$$\)

Where,

C is the constant of integration.

We can simplify this by multiplying both sides by 3 to get:

3x² + t³ - x³ = 3C

Let's interpret this relation in terms of the position of an object that is moving. Suppose the object is moving on a plane, and its position at time t is (x, y).

Then x and y represent its coordinates on the x-axis and y-axis, respectively. If we assume that the object moves at a constant speed, then its path can be described by the relation above.

If we rewrite it as follows:

\($$\begin{aligned}y^3 &= 3C - 3x^2 - t^3\\y &= \sqrt[3]{3C - 3x^2 - t^3}\end{aligned}$$\)

This equation describes a curve in three dimensional space.

We can use it to plot the path of the object as it moves. Note that the curve is symmetric with respect to the x-axis, and it approaches the x-axis as t increases.

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In the attached diagram the perimeter of the hall way is

The perimeter of the hall way is calculated by adding all the sides of the hallway

The perimeter of the hall way  = 2x - 7 + x + 1 + 4x - 9 + x - 2 + x + 2 + 3x - 11 + x - 2 + 3x - 11 + x + 4

adding like terms results to

The perimeter of the hall way  =  17x + (-34)

Finally, the simplified expression is:

17x - 34

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Answer:

slope m = - 8

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y + 3 = - 8(x - 4) ← is in point- slope form

with slope m = - 8

The slope is :

Solution:

Given: \(\bf{y+3=-8(x-4)}\)

To determine the slope, it's important to know the form of the equation first.

There are 3 forms that you should be familiar with.

The three forms of equations of a straight line are:

This equation matches point slope perfectly.

The question becomes, how do you work with point slope to find slope?

In point slope, m is the slope and (x₁, y₁) is a point on the line.

Similarly, the slope of \(\bf{y+3=-8(x-4)}\) is -8.

Answer: $6

Step-by-step explanation:

3.50 + 1.50 = 5

5 + 1 = 6

This value represents the present worth below which the probability is 0.5, indicating a negative present worth.

To estimate the probability that the present worth is negative using the NORM.INV function in Excel,

we need to calculate the present worth of the project and then determine the corresponding probability using the normal distribution.

The present worth of the project can be calculated by finding the sum of the present values of the annual receipts over the 10-year period, minus the initial investment. The present value of each annual receipt can be calculated by discounting it back to the present using the minimum attractive rate of return (MARR).

Using the given information, the present value of the initial investment is $10,000. The present value of each annual receipt is calculated by dividing the expected return of $1,800 by \((1+MARR)^t\),

where t is the year. We then sum up these present values for each year.

We can use the NORM.INV function in Excel to estimate the probability of a negative present worth. The function requires the probability value, mean, and standard deviation as inputs.

Since we have a mean and standard deviation for the present worth,

we can calculate the corresponding probability of a negative present worth using NORM.INV.

This value represents the present worth below which the probability is 0.5. By using the NORM.INV function,

we can estimate the probability that the present worth is negative based on the given data and assumptions.

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The decimal expression for 9945/6444000 is 0.001543296...

To obtain it, follow this steps:

First, write both numbers in this arrangement:

Notice where the decimal point is placed.

Next, pick digits from the number 9945 from left to right until you have

that you

Answer:

1) A

3) A

Step-by-step explanation:

Solve using factoring or quadratic formula.

The perimeter of triangle JKL is  determined as 68 units.

The perimeter of triangle JKL is calculated as follows;

The perimeter of triangle JKL is the sum of all the distance round the triangle.

Perimeter = length JK + length LK + length JL

AL = CL = 12

Length LK = CL + CK = 12 + 8 = 20

JA = JB = 14

KB = CK = 8

Length JK = JB = KB = 14 + 8 = 22

Length JL = JA + AL = 14 + 12 = 26

The perimeter of triangle JKL is calculated as;

Perimeter = 20 + 22 + 26

Perimeter = 68 units.

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a) Sample space: {1,2,3,4,5,6} for the first toss of the die. If the result is even, then another toss is made, resulting in the sample space {2,4,6} for the second toss. If the first toss is odd, a coin is tossed, resulting in the sample space {H, T} for the coin toss.

b) Each outcome in the sample space has an equal probability of 1/6, except for the outcomes in {2,4,6}, which have a probability of 1/18 for the second toss.

c) P(a) = P(H) = 1/6, P(b) = 1/2.

d) ac: {5H}, bc: {1,3,5}, ab: { }, a∪b: {1,3,5,H}.

e) P(ac) = 1/6, P(bc) = 3/6 = 1/2, P(a∩b) = 0, P(a∪b) = 4/6 = 2/3, P(a|b) = P(ab)/P(b) = 0/1/2 = 0, P(b|a) = P(a∩b)/P(a) = 0/1/6 = 0.

f) a and b are not mutually exclusive events because there is a possibility that both events can occur together. They are not independent because the outcome of  the first toss affects the likelihood of the second toss or coin toss.

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Answer:

$1,976.21

Step-by-step explanation:

$1,976.21

The solution will be that the home-decorating company will require 42 yards of fabric for the customer's window treatments.

As per the information we have received from the question,

A single window requires 13 yards and a double window requires 16 yards of fabric. We are asked to find out the length of fabric that will be required by the home-decorating company, in case there were 2 single windows and 1 double window. The total amount of fabric that will be required by the home-decorating company is hence equal to

13×(no of single windows)+ 16×(no of double windows)

Here, no of single windows= 2

And, no of double window= 1

Hence, total fabric length=13×2 + 16×1=26 + 16=42 yards

Hence the solution is 42 yards of fabric.

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The multiplication of \((2.4 \times {10}^{14} ) \times (4 \times {10}^{7} )\)in scientific notation is \(9.6 \times {10}^{21} \)

Multiply the decimal numbers to multiply the integers in scientific notation. Add the 10 power exponents after that. In scientific notation, place the new power of 10 with the decimal.

given that \((2.4 \times {10}^{14} ) \times (4 \times {10}^{7} )\)

Now, find the answer in scientific notation

\((2.4 \times {10}^{14} ) \times (4 \times {10}^{7} )\)

combine the all the like terms

\((2.4 \times 4)( {10}^{14} \times {10}^{7} )\)

According to the exponent same base rule, an exponent will be added if the bases of two exponents are the same.

\((9.6) \times ( {10}^{14 + 7)} ) \\ 9.6 \times {10}^{21} \)

Hence,the multiplication of\((2.4 \times {10}^{14} ) \times (4 \times {10}^{7} )\) in scientific notation is \(9.6 \times {10}^{21} \)

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The standard deviation of the salaries for the company's 80 employees is calculated to be X, where X represents the numerical value of the standard deviation.

The standard deviation measures the dispersion or variability of a set of data points. In order to calculate the standard deviation, we need to first find the mean (average) of the salaries. Then, for each salary, we calculate the difference between the salary and the mean, square that difference, and sum up all the squared differences. Next, we divide the sum by the total number of salaries (80 in this case) minus 1 to obtain the variance. Finally, the standard deviation is obtained by taking the square root of the variance. This accounts for the fact that the squared differences are in squared units, while the standard deviation should be in the original units (currency in this case).

By following this process, we can find the standard deviation of the salaries for the 80 employees in the company. This value represents the measure of variability or spread in the salary distribution, providing insights into how salaries deviate from the mean.

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Answer:

\(\large\boxed{\tt x = 2}\)

Step-by-step explanation:

\(\textsf{We are asked to solve for x in the given equation.}\)

\(\textsf{We should know that x is cubed, meaning that it's multiplied by itself 3 times.}\)

\(\textsf{We should isolate x on the left side of the equation, then find x by cubic rooting}\)

\(\textsf{both sides of the equation.}\)

\(\large\underline{\textsf{How is this possible?}}\)

\(\textsf{To isolate variables, we use Properties of Equality to prove that expressions}\)

\(\textsf{are still equal once a constant has changed both sides of the equation. A Cubic}\)

\(\textsf{Root is exactly like a square root, but it's square rooting the term twice instead}\)

\(\textsf{of once.}\)

\(\large\underline{\textsf{For our problem;}}\)

\(\textsf{We should use the Subtraction Property of Equality to isolate x, then cubic root}\)

\(\textsf{both sides of the equation.}\)

\(\large\underline{\textsf{Solving;}}\)

\(\textsf{Subtract 1 from both sides of the equation keeping in mind the Subtraction}\)

\(\textsf{Property of Equality;}/tex]

\(\tt \not{1} - \not{1} - x^{3} = 9 - 1\)

\(\tt - x^{3} = 8\)

\(\textsf{Because x}^{3} \ \textsf{is negative, we should exponentiate both sides of the equation by}\)

\(\textsf{the reciprocal of 3, which is} \ \tt \frac{1}{3} .\)

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

\(\underline{\textsf{Evaluate;}}\)

\(\tt (- x^{3})^{\frac{1}{3}} \rightarrow -x^{3 \times \frac{1}{3} } \rightarrow \boxed{\tt -x}\)

\(\textsf{*Note;}\)

\(\boxed{\tt A^{\frac{1}{C}} = \sqrt[\tt C]{\tt A}}\)

\(\tt 8^{\frac{1}{3}} \rightarrow \sqrt[3]{8} \rightarrow 2^{1} \rightarrow \boxed{\tt 2}\)

\(\underline{\textsf{We should have;}}\)

\(\tt -x=2\)

\(\textsf{Use the Division Property of Equality to divide each side of the equation by -1;}\)

\(\large\boxed{\tt x = 2}\)

Answer:

Break it into 2 parts.

Explanation:

Y=4x

Firstly draw the graph of y=4x , then light it up the y-axis by 4 units.

Or you can do it by plotting points; say x=0, x=1, x=2 and so on.

Step-by-step explanation:

Brandon is currently 6 81 years old.

Let M be Michael's age and B be Brandon's age.

We are given that Michael is 3 33 times as old as Brandon. This means that M = 3 33 × B

We are also given that 18 1818 years ago, Michael was 9 99 times as old as Brandon. This means that M - 18 1818 = 9 99 × (B - 18 1818).

We can combine these two equations to solve for Brandon's current age:

3 33 × B = (9 99 × B) + 18 1818

2 66 × B = 18 1818

B = 18 1818 / 2 66 = 6 81.

Therefore, Brandon is currently 6 81 years old.

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The function r(t) for the line passing through the points p(8,3,3) and q(6,8,7) is r(t) = <8-2t, 3+5t, 3+4t>

We can use the vector form of the equation of a line to find a function r(t) for the line passing through the points p(8,3,3) and q(6,8,7).

Let's first find the direction vector of the line by subtracting the coordinates of the two points:

q - p = <6-8, 8-3, 7-3> = <-2, 5, 4>

Now, we can write the vector equation of the line in terms of a parameter t as:

r(t) = p + t(q - p)

Substituting the values of p and q, we get:

r(t) = <8, 3, 3> + t<-2, 5, 4>

Expanding, we get:

r(t) = <8-2t, 3+5t, 3+4t>

Therefore, the function r(t) for the line passing through the points p(8,3,3) and q(6,8,7) is:

r(t) = <8-2t, 3+5t, 3+4t>

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The expression for the number of tiles will be 27 / ( s² ).

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Mr. Grant wants to tile a 27 - square - foot area with square tiles. let s = the side length, in feet, of a square tile.

The number of tiles will be calculated as,

Number = Total area / Area of tile

Number = 27 / s²

Hence, the number of tiles will be calculated by the formula Number = 27 / s².

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The net income for Griffin's Goat Farm, Inc., was \(\$184,340\).

The operating cash flow (OCF) for Kerber's Tennis Shop, we can use the following formula:

\(OCF = EBIT + Depreciation - Taxes + \triangle Working Capital\)

where EBIT is earnings before interest and taxes.

Calculate EBIT by subtracting interest expense from operating income:

EBIT = Operating Income - Interest Expense

We do not have the information for operating income, but we can use the fact that interest expense was. \(\$165,000\) to calculate EBIT.

EBIT = Interest Expense / (1 - Tax Rate)

= \(\$165,000 / (1 - 0)\)

= \(\$165,000\)

Calculate the change in working capital (Δ Working Capital). We are told that the company reduced its net working capital investment by \(\$69,000\), which means that working capital increased by  \(\$69,000\).

Therefore:

\(\triangle Working Capital = \$69,000\)

Now, we can calculate OCF:

OCF = EBIT + Depreciation - Taxes + Δ Working Capital

=\(\$165,000 + 0 - 0 +\ $69,000\)

=\(\$234,000\)

Therefore, the firm’s 2018 operating cash flow (OCF) was \(\$234,000\) .

To calculate the net income for Griffin's Goat Farm, we can use the following formula:

Net Income = EBIT - Interest Expense - Taxes

where EBIT is earnings before interest and taxes. We can calculate EBIT as:

EBIT = Sales - Costs - Depreciation

= \(\$686,000 - \$332,000 - \$65,000\)

=\(\$289,000\)

Next, we need to calculate taxes. We are given a tax rate of 24%, so:

Taxes = Tax Rate x (EBIT - Depreciation)

= \(0.24 \times (\$289,000 - \$65,000)= \$56,160\)

Now, we can calculate net income:

Net Income = EBIT - Interest Expense - Taxes

= \(\$289,000 - \$48,500 - \$56,160= \$184,340\)

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