Evaluate 8 - 6 3/5 =

Using the inscribed angle theorem, the value of x is calculated as: x = 96 degrees.

We have to recall the inscribed angle theorem in order for us to create an equation that would enable us calculated the value of x in the circle that is given above. The theorem simply states the following:

Measure of intercepted arc = 2(measure of inscribed angle).

The intercepted arc = x

The inscribed angle = 48 degrees

Therefore, applying the theorem we have equation below:

x = 2(48)

x = 96°

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The front and side elevation diagram along with the diagram given in question is attached with the answer.

What is elevation?

A location's elevation can be defined as its height above or below a fixed reference point, most frequently a reference geoid, a mathematical representation of the Earth's sea level as an equipotential gravitational surface (see Geodetic datum Vertical datum). In most cases, elevation is used to describe locations on the surface of the Earth, whereas altitude or geopotential height is used to describe locations above the surface, such as those of flying airplanes or orbiting satellites, and depth is used to describe locations below the surface.

Drawing the required Elevation Using the Construction Method

The scale is 2 squares to 1 meter.

16 squares total make up the plane on which the front elevation is to be drawn.

Front elevation: There are 4 squares across the front elevation's width.

4 + 1 squares make up the portion of the front closest to the observer.

The slant surface of the has a square count of 3 by 4 squares.

Side elevation: By following the same format as before, the side elevation is provided as follows;

The lower side of the side elevation's breadth is 2 meters wide, or 4 squares.

The side elevation's height is 2 meters, or 4 squares.

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If \(f(x)=x^2\) and \(g(x) = -\frac{1}{2}(x-6)^2 + 3\),

then:

So the graph has been flipped upside-down, squished vertically, moved right and up.

$7 per hour plus $9 off

$7x5=$35-$9 discount=$26

$26+$7=$33

6hours=$42-$9=$33

Joe could rent the boat for 6 hours

The values of x when solved;

a. x≥ 3. 44

b. x≥3. 44

c. x ≤ 8. 8

Inequalities are simply described as relations that makes a non-equal comparison between two numbers, variable or other mathematical expressions.

They are used to compare numbers on the number line on the basis of size

From the information given, we have to determine the value of x in the inequality given;

a. 5 1/2≥1.6x

convert to improper fraction

11/2 ≥1.6x

divide both sides by 1. 6

x≥ 3. 44

b. x≥3 7/16

convert to improper fraction

x≥ 55/ 16

x≥3. 44

c. x≤8 4/5

convert to improper fraction

x≤ 44/ 5

x ≤ 8. 8

Hence, the value are  x≥ 3. 44, x≥3. 44 and x ≤ 8. 8

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The expression that represents the area of the triangle is given as follows:

A = (c - a)[8 - (c - a)]/4.

The area of a triangle is obtained as half the multiplication between the base b and the height h, that is:

A = 1/2 x b x h.

For the triangle in this problem, the base is composed by these following vertices:

Hence the length of the base is of:

b = c - a.

The height is given by the difference between the y-coordinate of the vertex (b,4) and the midpoint of the base ac, hence:

h = 4 - (c - a)/2 = [8 - (c - a)]/2

Hence the area is given as follows:

A = 1/2 x (c - a) x [8 - (c - a)]/2

A = (c - a)[8 - (c - a)]/4.

The problem asks for which expression gives the area of the triangle with these vertices.

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The likelihood that an executive will reach the V.P. position in 12 years or less is approximately 0.1151, or 11.51%.

To calculate the likelihood that an executive will reach the V.P. position in 12 years or less, we need to calculate the z-score and then find the corresponding probability from the standard normal distribution.

The z-score is calculated using the formula:

z = (x - μ) / σ

Where:

x = 12 years (desired time)

μ = 18 years (mean age)

σ = 5 years (standard deviation)

z = (12 - 18) / 5 = -1.2

Next, we need to find the probability corresponding to the z-score of -1.2. This can be done using a standard normal distribution table or a calculator. The probability associated with a z-score of -1.2 is approximately 0.1151.

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Answer:

2.45%

Step-by-step explanation:

(2.86 - 2.79) / 2.86 = 0.0245

0.0245 x 100 = 2.45%

Answer:

m = 2

Step-by-step explanation:

Given

y = mx + 2

Since (- 3, - 4) is a point on the line then it satisfies the equation.

Substitute x = - 3 and y = - 4, the coordinates of the point, into the equation and solve for m, that is

- 4 = - 3m + 2 ( subtract 2 from both sides )

- 6 = - 3m ( divide both sides by - 3 )

2 = m

Therefore , the solution of the given problem of inequality  comes out to be  inequality n + 6 < 10 is satisfied by all numbers to the left of 4.

In algebra, a disparity can be represented by an association or collection of numbers, even without the equal symbol. Equity always comes after equilibrium. When standards are still incompatible, inequality results. Fairness and disparity are not the same. Because parts are variable  frequently not similar in any way or close to one another, we selected the most common symbol ().

Here,

The inequality n Plus 6 10 can be resolved by taking 6 away from both sides:

=> n + 6 - 6 < 10 - 6

Simplifying:

=> n < 4

Therefore, n > 4 is the answer to the contradiction. By shading the area to the left of number 4, we can graph this answer as a number line:

Because n is strictly less than 4, the shaded circle at 4 shows that 4 is not part of the solution. The inequality n + 6 10 is satisfied by all numbers to the left of 4.

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Answer:

What is the question?????

Answer:

Step-by-step explanation:

it's kinda hmm alarming that this doesn't make sense to you.   :/   how much money would 2 people get.. if the split 3 dollars evenly?

$1.50  each right?

so each family would get  1 1/2 sandwiches.. see how it's the same?  :/

The inequality that describe the situation, temperature for water when it is not liquid is x ≤ 0 °C.

The graph of the inequality is shown below.

The interval notation of the inequality is (-∞, 0].

From the question, we are to write an inequality to describe the situation.

The situation is we are to write the temperature for water, in degrees Celsius, when it is not liquid.

Let x represent the temperature of the water

When water is not liquid, the temperature is less than or equal to 0 °C.

That is,

x ≤ 0 °C

The graph of the of the inequality on a number line is shown below.

The inequality in interval notation is (-∞, 0].

Hence, the inequality is x ≤ 0 °C and the interval notation is (-∞, 0].

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The seismograph reading of the earthquake is approximately 1.99526.To determine the seismograph reading of the earthquake with a magnitude of 3.3 on the Richter scale, we can use the formula M(I) = log(I/0.001), where M(I) represents the magnitude and I represents the intensity of the earthquake.

In this case, we are given the magnitude of 3.3. Let's substitute this value into the formula and solve for I:

3.3 = log(I/0.001)

To isolate I, we need to convert the equation into exponential form:

10^(3.3) = I/0.001

Simplifying the equation, we have:

I = 10^(3.3) * 0.001

Using a calculator, we find that 10^(3.3) is approximately 1995.26.

So, the seismograph reading of the earthquake is:

I = 1995.26 * 0.001

≈ 1.99526.

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Answer:

The final answer is \(7x +7\) .

Step-by-step explanation:

-Solve equation:

\(5x + 7 + 2x\)

-Combine like terms:

\(5x + 7 + 2x\)

\(7x +7\)

-Result:

\(7x +7\)

Answer:

13

Step-by-step explanation:

12^2+5^2=x^2

144+25=x^2

169=x^2

Take the square root of 169 and get 13

We are asked to find the values needed for the length CB

The coordinates of points C and B are given as

C(-a, -5b)

Recall that the distance formula is given by

For the given case,

Let us substitute these coordinates into the above distance formula

Therefore, the required values are

Using the exponential function, it is obtained that it will take about 10 months for the amount of radioactive material to be reduced to 0.68 mg.

What is an exponential function?

The formula for an exponential function is \(f(x) = a^x\), where x is a variable and a is a constant that serves as the function's base and must be bigger than 0.

Since the radioactive material will cut in half every month, the amount of material left after t months can be represented by the exponential function -

\(A(t) = 350 \times \big(\frac{1}{2} \big)^t\)

where A(t) is the amount of material left after t months.

To find the number of months required for the amount of material to be 0.68 mg, we can set A(t) equal to 0.68 and solve for t -

\(0.68 = 350 \times \big(\frac{1}{2} \big)^t\)

Dividing both sides by 350 -

\(\big( \frac{1}{2} \big) ^t = 0.00194285714\)

Taking the logarithm of both sides (with base 1/2)-

t × log(1/2) = log(0.00194285714)

Simplifying the equation, we get that -

t = log(0.00194285714) / log(1/2)

Using a calculator to evaluate the logarithms, we get -

t ≈ 10.26

Therefore, the time value is obtained as 10 months.

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In order to advise the tire manufacturer on their advertising effectiveness and allocation, we need to calculate the marginal return to sales for each region, assess the impact of additional advertising expenditure, determine where the additional money should be spent, and consider the reallocation of current advertising expenditures.

To find the marginal return to sales for each region, we differentiate the sales equation with respect to x. For Region 1, ds_1/dx = 36 - 2.6x, and for Region 2, ds_2/dx = 19 - 1.2x. If $10 million is being spent on TV advertising in each region, we substitute x = 10 into the respective equations to find the marginal return to sales. In Region 1, ds_1/dx = 36 - 2.6(10) = 11, and in Region 2, ds_2/dx = 19 - 1.2(10) = 7. Hence, the marginal return to sales is $11 million in Region 1 and $7 million in Region 2.

To determine which region would benefit more from additional advertising expenditure, we compare the marginal returns. Since the marginal return in Region 1 is higher ($11 million) compared to Region 2 ($7 million), Region 1 would benefit more from additional advertising expenditure.

If additional money is made available for advertising, it should be spent in Region 1 as it has the higher marginal return. Increasing the advertising expenditure in Region 1 would likely result in a greater increase in sales revenue compared to Region 2.

To reallocate money already being spent to produce more sales revenue, we should compare the coefficients of the quadratic term (x^2) in the sales equations. In Region 1, the coefficient is -1.3, and in Region 2, it is -0.6. Since the coefficient in Region 1 is larger in absolute value, reallocating some advertising expenditure from Region 2 to Region 1 would likely lead to a larger increase in sales revenue overall.

Therefore, based on the analysis, the tire manufacturer should focus on increasing advertising expenditure in Region 1, as it has a higher marginal return, and consider reallocating some advertising funds from Region 2 to Region 1 to optimize sales revenue.

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Following the Sampling Theorem of statistics, the answer is True.

The study of statistics focuses on gathering, organizing, organizing, analyzing, interpreting, and presenting data.

Each member of the group or community has an equal chance of being chosen when using probability sampling. According to probability-based statistical theory, this indicates that the sample is more likely to match the larger population, allowing for the drawing of more precise conclusions about the latter.

Yes, the quota sampling process occurs when the available or accessible people or material are selected. Due to large population size, Sampling process is preferred.

Since, Statistics convey characteristics of data to us. So yes, The sample is weighted so that predetermined characteristics are represented.

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Answer:

30 m is the original, and 60 m would be expanded

Step-by-step explanation:

perimeter=l+w+l+w so 12+3+12+3=30 and you could multiply that by 2 to make it 60m i believe

Answer:

I think that it's 6 minutes but I'm not sure

Answer:

Step-by-step explanation:

Answer:

0.17*58

17/100 * 58

Step-by-step explanation: Either one will help solve the problem.

Answer:

for me it is a circle

Step-by-step explanation:

The fraud triangle is a model that describes the three key factors that must be present for fraud to occur: opportunity, rationalization, and pressure.

These factors are often represented as the three sides of a triangle, with fraud being the result at the center.

Opportunity refers to the ability of an individual to commit fraud, either due to a lack of internal controls or the ability to override existing controls. Rationalization refers to the mental process by which an individual justifies the fraudulent behavior to themselves, often by convincing themselves that it is not really wrong or that they have a valid reason for doing it. Pressure refers to the external factors that motivate an individual to commit fraud, such as financial difficulties, job insecurity, or a desire to meet performance targets.

In summary, the fraud triangle indicates that all three conditions of opportunity, rationalization, and pressure must be present for fraud to be perpetrated.

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Answer:39.56400cm^2

Step-by-step explanation:

126/360=0.35

area = pi(r)^2

r=d/2=6

36・3.14 = 113.04

0.35・113.04 = 39.56400

Option C : If Richard studies for 7 hours each week, his English score will most likely be 78 points.

The graph provided shows a scatterplot of Richard's English scores versus the number of hours he studies. The horizontal axis represents the number of hours Richard spends studying English, while the vertical axis represents his English score. Each data point represents a pair of (hours studied, English score) for Richard.

The trend line on the graph shows the overall pattern of the data points. It is a line that best fits the data points based on a statistical method called linear regression. The trend line helps to visualize the relationship between the two variables: English scores and hours studied.

To determine Richard's English score if he spends 7 hours a week studying English, we can look at the point on the trend line where x=7 (i.e., the point where Richard studied for 7 hours). Based on the trend line, this point corresponds to a score of approximately 78 points. Therefore, we can conclude that the most likely English score for Richard if he spends 7 hours a week studying is 78 points.

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The graph shows Richard's English scores versus the number of hours he studies:

What will Richard's English scores most likely be if he spends 7 hours a week studying English? (1 point)

A. 58 points

B. 66 points

C. 78 points

D. 89 points