Select whether the triangle
is inscribed in the circle, circumscribed about the
circle, or neither.
B
• inscribed in the circle
© circumscribed about the circle
• neither

Answer:

4y + 6x ≤ 96

12y + 2x ≤ 96

Step-by-step explanation:

Paper shredders produced :

Home :

Assembling time = 4 hours

Finishing work unit = 12

Office :

Assembling time = 6 hours

Finishing work unit = 2

Maximum number of assembly hours = 96 / day

Maximum number of finishing hours = 96/ day

Let

x = the number of office model shredders produced per day and

y = the number of home model shredders produced per day

(office Assembly hours x Number of office model) + (Assembly hours * number home models)

OFFICE MODEL:

Assembly operation :

Home + office ≤ 96

4y + 6x ≤ 96

Finishing operation :

Home + office ≤ 96

12y + 2x ≤ 96

The best measure of center for the frequency of the data is Mean. The value of the measure of the center is 30.

The Mean value refers to an intermediate value between a discrete set of numbers. It is a measure of central tendency in a data set. In statistics, the term average refers to any of the measures of central tendency. The arithmetic mean of a set of observed data is defined as being equal to the sum of the numerical values of each and every observation, divided by the total number of observations. Fifty part time college students were asked how many hours they work per week.

Frequency 12 10 81 6 0 10 30 40 0 10 30 40 20 Hours 20 Hours.

we can calculate mean by adding all the frequencies and then divide it by the number of observations.

To learn more about Mean value please visit:

https://brainly.com/question/1136789

#SPJ4

118 be the median of a positively skewed distribution with a mean of 122. Option D.

To determine which of the given values could be the median of a positively skewed distribution with a mean of 122, we need to consider the relationship between the mean, median, and skewness of a distribution.

In a positively skewed distribution, the tail of the distribution is stretched towards higher values, meaning that there are more extreme values on the right side. Consequently, the median, which represents the value that divides the distribution into two equal halves, will typically be less than the mean in a positively skewed distribution.

Let's examine the given values in relation to the mean:

A. 122: This value could be the median if the distribution is perfectly symmetrical, but since the distribution is positively skewed, the median is expected to be less than the mean. Thus, 122 is less likely to be the median.

B. 126: This value is higher than the mean, and since the distribution is positively skewed, it is unlikely to be the median. The median is expected to be lower than the mean.

C. 130: Similar to option B, this value is higher than the mean and is unlikely to be the median. The median is expected to be lower than the mean.

D. 118: This value is lower than the mean, which is consistent with a positively skewed distribution. In such a distribution, the median is expected to be less than the mean, so 118 is a plausible value for the median.

In summary, among the given options, (118) is the most likely value to be the median of a positively skewed distribution with a mean of 122. So Option D is correct.

For more question on median visit:

https://brainly.com/question/26177250

#SPJ8

Note the complete question is

If the mean of a positively skewed distribution is 122, which of these values could be the median of the distribution?

A. 122

B. 126

C. 130

D. 118

An equation of the line that passes through the given point and has the given slope is y = -9.

In Mathematics, the point-slope form of any straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁)

Where:

At data point (9, -9) and slope, m = 0, a linear equation of this line can be calculated in slope-intercept form as follows:

y - y₁ = m(x - x₁)

y - (-9) = 0(x - 9)

y + 9 = 0

y = -9

Read more on slope here: brainly.com/question/3493733

#SPJ1

x=1

combine like terms and simplify

Answer:

-2

Step-by-step explanation:

just had to answer it :)

Given:

Scale = 1 cm : 18 km

Distance from Austin to Dallas = 288 km

Required:

Difference between the two cities on the map in centimeter

Solution:

Answer:

16 cm

Answer:

It is irrational and equal to 6 times the square root of 2.

Step-by-step explanation:

√50 + √2

= √25 * √2 + √2

= 5√2 + √2

= 6√2.

Answer:

30 cm³

Step-by-step explanation:

Volume = lbc

Answer:

The volume is 30 cm³

Step-by-step explanation:

Volume = l×b×c

=> 5×3×2

=> 30 cm³

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The graph that includes the point (1, 3) will be the one that is a graph of ...

  y = 3^x

Answer:

A) X≥4

B) Can't see question

C)x<8

D) x>40

E)x≥5

F) Can't see question

G)x ≥43

H) x ≤75

Step-by-step explanation:

Answer:

Step-by-step explanation:

91.44 cm/d (centimeter per day)

Answer:

real whole and rational

Step-by-step explanation:

Answer:

Step-by-step explanation:

In the Intermediate Phase of mathematics education, one topic that demonstrates a hierarchical and logical progression in patterns, functions, and algebra is the concept of "Linear Equations."

The topic of Linear Equations in the Intermediate Phase builds upon the foundation laid in earlier grades and serves as a stepping stone towards more advanced algebraic concepts. Here is an overview of the topic sequence and content area spread for Linear Equations:

Introduction to Variables and Expressions:

Students are introduced to the concept of variables and expressions, learning to represent unknown quantities using letters or symbols. They understand the difference between constants and variables and learn to evaluate expressions.

Solving One-Step Equations:

Students learn how to solve simple one-step equations involving addition, subtraction, multiplication, and division. They develop the skills to isolate the variable and find its value.

Solving Two-Step Equations:

Building upon the previous knowledge, students progress to solving two-step equations. They learn to perform multiple operations to isolate the variable and find its value.

Writing and Graphing Linear Equations:

Students explore the relationship between variables and learn to write linear equations in slope-intercept form (y = mx + b). They understand the meaning of slope and y-intercept and how they relate to the graph of a line.

Systems of Linear Equations:

Students are introduced to the concept of systems of linear equations, where multiple equations are solved simultaneously. They learn various methods such as substitution, elimination, and graphing to find the solution to the system.

Word Problems and Applications:

Students apply their understanding of linear equations to solve real-life word problems and situations. They learn to translate verbal descriptions into algebraic equations and solve them to find the unknown quantities.

The content area spread for Linear Equations includes concepts such as variables, expressions, equations, operations, graphing, slope, y-intercept, systems, and real-world applications. The progression from simple one-step equations to more complex systems of equations reflects a logical sequence that builds upon prior knowledge and skills.

By following this hierarchical progression, students develop a solid foundation in algebraic thinking and problem-solving skills. They learn to apply mathematical concepts and procedures in a systematic and logical manner, paving the way for further exploration of patterns, functions, and advanced algebraic topics in later phases of mathematics education.

Answer:

The depreciation tax shield for this project in year 4 is $178.24.

Explanation:

To calculate the depreciation tax shield for this project in year 4, we need to first determine the depreciation expense for year 4 using the MACRS three-year class life category and the double-declining balance (DDB) method.

From Table 12.8 on page 415 of the textbook, we can see that the depreciation rate for year 1 is 33.33%, for year 2 it is 44.45%, for year 3 it is 14.81%, and for year 4 it is 7.41%.

Using the DDB method, we can calculate the depreciation expense for each year as follows:

Year 1: Depreciation expense = $14,000 x 33.33% = $4,667

Year 2: Depreciation expense = ($14,000 - $4,667) x 44.45% = $3,554

Year 3: Depreciation expense = ($14,000 - $4,667 - $3,554) x 14.81% = $830

Year 4: Depreciation expense = ($14,000 - $4,667 - $3,554 - $830) x 7.41% = $557

The total depreciation expense over the four years is the sum of the individual year's depreciation expenses, which is:

$4,667 + $3,554 + $830 + $557 = $9,608

Now, we can calculate the depreciation tax shield in year 4. The depreciation tax shield is the amount of the depreciation expense that reduces the firm's taxable income, multiplied by the tax rate. In year 4, the depreciation tax shield is:

Depreciation tax shield = Depreciation expense in year 4 x Tax rate

Depreciation tax shield = $557 x 32% = $178.24

Therefore, the depreciation tax shield for this project in year 4 is $178.24.

Learn more about Double-Declining Balance on:

brainly.com/question/24296752

U thought this was a professional answer?!!!!??????

You're wrong!!!!!!!!!!!!!!!!!

But the answer is correct though...

:))

PEW PEW PEW

Bing Chilling

It's over...

No more to read

Happy birthday if it's ur birthday...

Have a nice day my king:)

To determine when the total cost of each health club will be the same, we can set up an equation and solve for the number of months.

Let's assume the number of months is represented by 'x'.

For Club A, the total cost is given by:

Total cost of Club A = $13 (one-time fee) + $28x (monthly fee)

For Club B, the total cost is given by:

Total cost of Club B = $19 (one-time fee) + $27x (monthly fee)

To find the number of months when the total cost is the same, we set the two equations equal to each other:

$13 + $28x = $19 + $27x

Simplifying the equation, we get:

$28x - $27x = $19 - $13

$x = 6

Therefore, after 6 months, the total cost of each health club will be the same.

To find the total cost for each club after 6 months, we substitute the value of 'x' back into the equations:

Total cost of Club A after 6 months = $13 + $28(6) = $13 + $168 = $181

Total cost of Club B after 6 months = $19 + $27(6) = $19 + $162 = $181

So, the total cost for both Club A and Club B will be $181 after 6 months.

For such more question on equation

https://brainly.com/question/29174899

#SPJ8

The Probability that the randomly chosen coin is gold, given that it is small, is 4/5 or 0.8 when expressed as a decimal.

To find the probability that the randomly chosen coin is gold, given that it is small, we need to determine the number of small gold coins and the total number of small coins.

From the given information, Marco has 12 small gold coins and 3 small silver coins, making a total of 12 + 3 = 15 small coins.

The probability that the coin is gold, given that it is small, can be calculated as the ratio of the number of small gold coins to the total number of small coins:

P(Gold|Small) = Number of Small Gold Coins / Total Number of Small Coins

P(Gold|Small) = 12 / 15

Simplifying the fraction, we have:

P(Gold|Small) = 4 / 5

Therefore, the probability that the randomly chosen coin is gold, given that it is small, is 4/5 or 0.8 when expressed as a decimal.

For more questions on Probability .

https://brainly.com/question/25839839

#SPJ8

Answer:

D

Step-by-step explanation:

So first you simplify

Step 1: (2•3•7x3y6) (2•3xy6)

Step 2: you divide x3 by x1 = x (3-1) = x2

step 3: You cancel out y6 as it appears on both sides of the fraction line.

step 4: cancel out 2 as it appears on both sides.

step 5: cancel out 3 as it appears on both sides.

step 6: final result 7x2

Answer:

210

Step-by-step explanation:

simple, arrange the numbers in descending order zero being the last !!!

Answer:

210

Step-by-step explanation:

Arrange the numbers in descending order :)

Answer:

The answer is B

Step-by-step explanation:

The answer is B

The equation of the red curve will be g(x) = x³ - 5. Then the correct option is A.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The equation of the blue curve is written as,

f(x) = x³

The red curve is shifted 5 units down. Then the equation of the red curve is written as,

g(x) = x³ - 5

The equation of the red curve will be g(x) = x³ - 5. Then the correct option is A.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ7

Answer:

m m m m m m

Step-by-step explanation:

mmmmmmmmm m m m m m m mm m m m m m m

Answer:

0.07kg

Step-by-step explanation:

plug in the force and acceleration in the equation then find m (devide both sides by .12)

In brains, we want a balance between excitatory and inhibitory signals to maintain proper neural functioning.

Since, We know that;

In brains, we want a balance between excitatory and inhibitory signals to maintain proper neural functioning.

This balance is important because too much excitatory signaling can cause overstimulation and potential harm, while too much inhibitory signaling can lead to neural suppression and lack of responsiveness.

Hence, The proper balance between the two types of signals is necessary for healthy neuronal activity, and maintaining that balance is a key aspect of neural health.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Answer:

5:2

Step-by-step explanation:

A ratio is basically a fraction but horizontally for eg. this: 5:8! This question is asking us to find the ratio of the emails that Jamie received to the emails that she answered.

According to the question, Jamie got 20 emails and responds to 8 of them. The ratio would look like this: 20:8 (because a ratio is just a fraction but horizontal, doesn't mean that there will be mixed numbers!) but not this 8:20. Ratios have a specific order that they have to be in and that will vary depending on the question. If the question says to find the ratio of emails that Jamie responded to to the emails that she received, then in this case 8:20 would be correct.

For now, the answer is 20:8. However, we still need to simplify it by finding its lowest common factor (unless the question asks you to not simplify it, it's better to simplify the answer like a fraction). The lowest common factor would be 4 for 20 and 8. 4 goes in 20 5 times sand 4 goes into 8 2 times.

Your final answer should be: 5:2

If you have any further questions please ask!

As the ladder is pulled away from the wall, the area and the height with the

wall are decreasing while the angle formed with the wall increases.

The correct response are;

Reasons:

The given parameter are;

Length of the ladder, l = 25 feet

Rate at which the base of the ladder is pulled, \(\displaystyle \frac{dx}{dt}\) = 2 feet per second

(a) Let y represent the height of the ladder on the wall, by chain rule of differentiation, we have;

\(\displaystyle \frac{dy}{dt} = \mathbf{\frac{dy}{dx} \times \frac{dx}{dt}}\)

25² = x² + y²

y = √(25² - x²)

\(\displaystyle \frac{dy}{dx} = \frac{d}{dx} \sqrt{25^2 - x^2} = \frac{x \cdot \sqrt{625-x^2} }{x^2- 625}\)

Which gives;

\(\displaystyle \frac{dy}{dt} = \frac{x \cdot \sqrt{625-x^2} }{x^2- 625}\times \frac{dx}{dt} = \frac{x \cdot \sqrt{625-x^2} }{x^2- 625}\times2\)

\(\displaystyle \frac{dy}{dt} = \mathbf{ \frac{x \cdot \sqrt{625-x^2} }{x^2- 625}\times2}\)

When x = 15, we get;

\(\displaystyle \frac{dy}{dt} = \frac{15 \times \sqrt{625-15^2} }{15^2- 625}\times2 = \mathbf{-1.5}\)

The velocity of the top of the ladder = 1.5 m/s downwards

When x = 20, we get;

\(\displaystyle \frac{dy}{dt} = \frac{20 \times \sqrt{625-20^2} }{20^2- 625}\times2 = -\frac{8}{3} = -2.\overline 6\)

The velocity of the top of the ladder = \(\underline{-2.\overline{6} \ m/s \ downwards}\)

When x = 24, we get;

\(\displaystyle \frac{dy}{dt} = \frac{24 \times \sqrt{625-24^2} }{24^2- 625}\times2 = \mathbf{-\frac{48}{7}} \approx -6.86\)

The velocity of the top of the ladder ≈ -6.86 m/s downwards

(b) \(\displaystyle The \ area\ of \ the \ triangle, \ A =\mathbf{\frac{1}{2} \cdot x \cdot y}\)

Therefore;

\(\displaystyle The \ area\ A =\frac{1}{2} \cdot x \cdot \sqrt{25^2 - x^2}\)

\(\displaystyle \frac{dA}{dx} = \frac{d}{dx} \left (\frac{1}{2} \cdot x \cdot \sqrt{25^2 - x^2}\right) = \mathbf{\frac{(2 \cdot x^2- 625)\cdot \sqrt{625-x^2} }{2\cdot x^2 - 1250}}\)

\(\displaystyle \frac{dA}{dt} = \mathbf{ \frac{dA}{dx} \times \frac{dx}{dt}}\)

Therefore;

\(\displaystyle \frac{dA}{dt} = \frac{(2 \cdot x^2- 625)\cdot \sqrt{625-x^2} }{2\cdot x^2 - 1250} \times 2\)

When the ladder is 24 feet from the wall, we have;

x = 24

\(\displaystyle \frac{dA}{dt} = \frac{(2 \times 24^2- 625)\cdot \sqrt{625-24^2} }{2\times 24^2 - 1250} \times 2 \approx \mathbf{ -75.29}\)

The rate the area formed by the ladder is changing, \(\displaystyle \frac{dA}{dt}\) ≈ -75.29 ft.²/sec

(c) From trigonometric ratios, we have;

\(\displaystyle sin(\theta) = \frac{x}{25}\)

\(\displaystyle \theta = \mathbf{arcsin \left(\frac{x}{25} \right)}\)

\(\displaystyle \frac{d \theta}{dt} = \frac{d \theta}{dx} \times \frac{dx}{dt}\)

\(\displaystyle\frac{d \theta}{dx} = \frac{d}{dx} \left(arcsin \left(\frac{x}{25} \right) \right) = \mathbf{ -\frac{\sqrt{625-x^2} }{x^2 - 625}}\)

Which gives;

\(\displaystyle \frac{d \theta}{dt} = -\frac{\sqrt{625-x^2} }{x^2 - 625}\times \frac{dx}{dt}= \mathbf{ -\frac{\sqrt{625-x^2} }{x^2 - 625} \times 2}\)

When x = 24 feet, we have;

\(\displaystyle \frac{d \theta}{dt} = -\frac{\sqrt{625-24^2} }{24^2 - 625} \times 2 \approx \mathbf{ 0.286}\)

Rate at which the angle between the ladder and the wall of the house is changing when the base of the ladder is 24 feet from the wall is \(\displaystyle \frac{d \theta}{dt}\) ≈ 0.286 rad/sec

Learn more about the chain rule of differentiation here:

https://brainly.com/question/20433457

Answer:

Step-by-step explanation:

what

The line or points has a slope value of -1

From the question, we have the following statement that can be used in our computation:

The slope of -3 up to positive 3

For a start, we represent the above parameters using an ordered pair

The ordered pair is represented as

(x, y) = (-3, 3)

The slope of the point is then calculated using the following slope formula

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (-3, 3) and (0, 0)

The coordinate (0, 0) represents the origin

Substitute the known values in the above equation

So, we have the following equation

Slope = (3 - 0)/(-3 - 0)

Evaluate the difference

So, we have the following equation

Slope = (3)/(-3)

Evaluate the quotient

So, we have the following equation

Slope = -1

Hence, the slope is -1

Read more about slope at

https://brainly.com/question/29135291

#SPJ1

Answer:

88 dollars

Step-by-step explanation:

To make it easier, divide 160 by half (80) and find 5 percent of 160 which is 8. Math go brrr