if Ab =9, the diagram [blank] the case of a degenerate triangle because [blank] . The case of a degenerate triangle justifies the use of [blank] I quality symbols in the triangle Inequality theorem.
1. represents or does not represent
2. (4.25 + 4.75 < 9) , (4.25 + 4.75> 9),
or (4.25 +4.75 >9)
3 non-strict or strict ​

I think it is the last one

The greatest common factors of the expressions 48ab² and 32a²bare,

⇒ 2⁴ ab

The highest number that divides exactly into two more numbers, is called  Greatest common factors.

Given that;

The expressions are,

⇒ 48ab²

⇒ 32a²b

Now,

GCD of 32, 48 = 16

And, GCD of (ab²) and (a²b) = ab

Thus, The greatest common factors of the expressions 48ab² and 32a²b are,

⇒ 16 ab

⇒ 2⁴ ab

Hence, The greatest common factors of the expressions 48ab² and 32a²bare,

⇒ 2⁴ ab

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(B) The value of x that produces the maximum revenue is 16, and the maximum revenue is $128,000. (C) The wholesale price per computer that produces the maximum revenue is $920.

(A) To graph the revenue function R(x) = x(2,000 - 60x), we can plot points by substituting various values of x within the given domain and calculating the corresponding values of R(x). Connecting these points will give us the graph of the revenue function.

(B) To find the value of x that maximizes revenue, we can use calculus. We differentiate the revenue function with respect to x, set the derivative equal to zero, and solve for x. The resulting value of x will indicate the quantity of computers that maximizes revenue

(C) Once we find the value of x that maximizes revenue, we can substitute it into the price-demand function p(x) = 2,000 - 60x to determine the corresponding wholesale price per computer.

By performing these calculations, we can determine the value of x that maximizes revenue, the corresponding wholesale price per computer, and the maximum revenue achieved, rounded to the nearest thousand dollars.

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The correlation coefficient (r) is approximately 0.9689.

To calculate the correlation coefficient, we can use the following formula:

r = (nΣxiyi - Σxi * Σyi) / √[(nΣx2i - (Σxi)^2)(nΣy2i - (Σyi)^2)]

Given the values provided:

n = 7

Σxi = 70

Σx2i = 896

Σyi = 77

Σy2i = 949

Σxiyi = 907

Let's substitute these values into the formula:

r = (7 * 907 - 70 * 77) / √[(7 * 896 - (70)^2)(7 * 949 - (77)^2)]

Calculating further:

r = (6349 - 5390) / √[(6272 - 4900)(6643 - 5929)]

= 958 / √[1372 * 714]

= 958 / √980,408

≈ 958 / 990.12

≈ 0.9689

Therefore, the correlation coefficient (r) is approximately 0.9689.

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The distance between the man and the starting point will be 13.08 km.

Trigonometry is the branch of mathematics which set up a relationship between the sides and angles of right-angle triangles.

Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate to a triangle's side length and angle.

Given that a man walks due west for 4km. He then changes direction and walks on a bearing of 197°.

The distance will be calculated as,

tanΘ = P/B

tan(73) = y / 4

y = 4tan73

y = 13.08 km

Therefore, the distance between the man and the starting point will be 13.08 km.

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Answer:

1/2 rational exponent represents a square root.

Therefore, option A is correct.

Step-by-step explanation:

As we know that raising to the one-half power i.e. \(\frac{1}{2}\) is the same

as taking the square root.

For example, taking the square root of 4 will determine:

\(4^{\frac{1}{2}}\)

\(\mathrm{Factor\:the\:number:\:}\:4=2^2\)

\(4^{\frac{1}{2}}=\left(2^2\right)^{\frac{1}{2}}\)

\(\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc},\:\quad \:a\ge 0\)

\(\left(2^2\right)^{\frac{1}{2}}=2^{2\cdot \frac{1}{2}}\)

so the expression becomes

\(4^{\frac{1}{2}}=2^{2\cdot \:\frac{1}{2}}\)

    \(=2^1\)

    \(=2\)         ∵ \(\mathrm{Apply\:exponent\:rule}:\quad \:a^1=a\)

so, 1/2 rational exponent represents a square root.

Therefore, option A is correct.

Answer: A.) 1/2 is the correct answer

Step-by-step explanation:

Answer: x+42x-2

Step-by-step explanation:

Answer: Part A: 4x    Part B: 4x

Step-by-step explanation: you have to add them

The given statement "suppose a researcher is interested in the average score in statistics courses, and knows that the population standard deviation for statistics course grades is 12 points." is false because the researcher would use the normal distribution instead of the t-distribution.

In statistics, it is important to understand the concept of the standard deviation. Standard deviation is a measure of the spread of data points in a set. It tells us how much the data deviates from the mean, or average, of the set.

The t-distribution is a probability distribution that is similar to the normal distribution, but it is used when the sample size is small (typically less than 30) or when the population standard deviation is unknown. In such cases, we use the t-distribution to estimate the population mean based on the sample mean.

In this scenario, the researcher knows the population standard deviation, which means they could use the normal distribution to estimate the population mean. Therefore, the correct answer to the question is false.

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Answer:

It should be greater i would think

Using mean formula for given frequency, the estimate mean is 17.49 ..

Mean is defined as the ratio of sum of observations by the total number of observations.

we have given the discrete class interval so, first we find out the mid point of intervals and then proceed . Arrange the given data

intervals Mid-point(Xᵢ) frequency(fᵢ) fixi

1 -7 4 6 24

8 -10 9 15 135

11 -15 13 20 26

16-20 18 18 324

21-35 26 10 260

36 - 50 43 8 344

Sum of fᵢ Xᵢ= 24+135+260+260+324+344 =1347

Sum of frequency (fi) = 6+15+20+18+10+8 = 77

Using Mean formula for given frequency data is

Mean = (∑fᵢ Xᵢ )/∑fᵢ= 1347/ 77 = 17.49

Hence, the estimate mean is 17.49 ( around two decimals ) .

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Answer:

The answer is option C.

Hope this helps you

Answer:

C

Step-by-step explanation:

find slope of the two lines:

(-6,5) , (-2,7)

m=y2-y1/x2-x1

m=7-5/-2-(-6)

m=2/4=1/2 for first line

second line : (4,2) , (6,6)

m=6-2/6-4

m=4/2=2

parallel lines have same slope, perpendicular has opposite reciprocal slope

Answer:

80y-24z

Step-by-step explanation:

Answer:

20 Yards

Step-by-step explanation:

3 feet = 1 yard

60 / 3 = x yards

20 yards

Answer:180

Step-by-step explanation:

hope this helps

Answer:

0.8 mm

Step-by-step explanation:

Given that you require the actual size.

The ant has been magnified by 15 X

To find the actual size divide magnified size by 15

actual size = 12 mm ÷ 15 = 0.8 mm

Answer:

\(tan(S)= \frac{28}{45}\)

\(tan(R) = \frac{45}{28}\)

Step-by-step explanation:

Given

\(RS = 53\)

\(ST = 45\)

\(RT =28\)

See attachment for triangle

Solving (a): The tangent of S

Using tan formula:

\(tan\theta = \frac{Opposite}{Adjacent}\)

So:

\(tan(S) = \frac{RT}{ST}\)

\(tan(S)= \frac{28}{45}\)

Solving (b): The tangent of R

Using tan formula:

\(tan\theta = \frac{Opposite}{Adjacent}\)

So:

\(tan(R) = \frac{ST}{RT}\)

\(tan(R) = \frac{45}{28}\)

In order to calculate the new divisor for a 3-for-4 reverse stock split, we must first calculate the new share price for Able. Since 3/4 of the shares are being replaced with just 1/4 of the old shares, the new price for Able will be $111 (3 x $37 = $111).

The divisor is used to calculate the new index value by dividing the sum of the new share prices by the divisor. Therefore, the new divisor will be 1.33 ($111 + $312 + $94 = $517 / 1.33 = $389.28). This is because the new share prices will total $517 and when you divide that by the divisor, the index value will be $389.28.

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Answer:is 55

Step-by-step explanation:

135-25=2x

110/2=55

Answer:

x = 55

Step-by-step explanation:

First you start with your equation, which is: \(135=2x+25\)

Subtract 25 from both sides. Once you do that, you get: \(110=2x\)

Then after that, you divide both sides by 2. Then you get your answer, which is: \(x=55\)

✌Hope I helped ya✌

First part

numerator f cubed g to the power of negative 2

The numerator can be written as

Second part

denorminator h raised to the power of negative 1

The numerator can be written as

combining part one and two

Open parentheses fraction - fraction - close parentheses to the power of 4

This gives

simplifying the expression to remove negative exponent

Simplifying the numerator

simplfying the denorminator

combining simplfied values for numerator and denorminator in the general form we have

Hence, the simplified form of the expression is

The potential food hazard that a food worker should consider while cleaning the inside of a pizza oven using a steel wire brush is c. Bristles from the wire brush.

The potential food hazards are substances or conditions that can cause harm to the consumers who eat them. Some common potential food hazards are allergens, physical hazards, chemical hazards, and biological hazards. The most important thing is to prevent the hazards and to minimize the risk of food contamination.

The food worker should consider safety measures while cleaning the pizza oven. They should wear gloves and eye protection while using the steel wire brush. They should use brushes that are appropriate for the oven surfaces, without bristles that can come loose or break off.

Food hazards related to pizza ovens, As the food worker is cleaning the inside of a pizza oven using a steel wire brush, the potential food hazard that they should consider is bristles from the wire brush. If the bristles from the brush fall into the oven, they may stick to the pizza crust, and get served to the customer. This could lead to physical injuries in the customer's mouth and could cause choking.

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The required sample size is 907.

We have,

To determine the required sample size for estimating the fraction of new car buyers who prefer foreign cars over domestic with a 95% confidence level and an error of at most 0.03, we'll use the following formula:
n = (Z² x p  (1 - p)) / E²
Where:
- n is the required sample size
- Z is the Z-score for the desired confidence level (1.96 for a 95% confidence level)
- p is the estimated population proportion (0.31)
- E is the margin of error (0.03)

Step-by-step calculation:
1. Calculate Z²: 1.96² = 3.8416
2. Calculate p (1 - p): 0.31 x (1 - 0.31) = 0.2139
3. Calculate E²: 0.03² = 0.0009
4. Substitute these values into the formula: n = (3.8416 x 0.2139) / 0.0009 = 906.92

Since we need to round up to the next integer, the required sample size is 907.

Thus,

The required sample size is 907.

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c=.2n+.5 equations gives the relationship between the price in dollars, c, and the number of candies, n, in a box of candies at Carrie's chocolate shop.

The relationship between the two expressions on each side of the sign is represented by a mathematical equation. One variable and an equal sign are often present.

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. For instance, the equation 6x + 11 = 20 has the two expressions 6x + 11 and 20 that are separated by the 'equal' sign.

Equations can be classified as either conditional equations or identities.

Correct option is: c=.2n+.5

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Answer:

A. -4

Step-by-step explanation:

The clearinghouse and research middle on servant management is now called c. The Greenleaf Center for Servant Leadership.

The middle turned into named after Robert K. Greenleaf, who first brought the idea of servant leadership in his essay "The Servant as Leader" published in 1970. The Greenleaf Center for Servant Leadership serves as a worldwide useful resource for promoting the knowledge and exercise of servant leadership.

It conducts studies, provides educational applications, and gives a platform for individuals and businesses to study and interact with servant management ideas. The middle's recognition is on nurturing moral and compassionate management that prioritizes the nicely-being and growth of individuals and the groups they serve. Through its initiatives, the Greenleaf Center pursuits to inspire and empower leaders to create a superb and impactful exchange by embracing the servant management philosophy.

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The clearinghouse and research center on servant leadership is called The Greenleaf Center for Servant Leadership.

The clearinghouse and research center on servant leadership is called The Greenleaf Center for Servant Leadership. It is a nonprofit organization that was founded in 1964 by Robert K. Greenleaf. The center is dedicated to promoting the principles of servant leadership, which emphasizes serving others and putting their needs first.

The Greenleaf Center conducts research, provides resources and training, and serves as a hub for individuals and organizations interested in servant leadership.

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Using proportions, it is found that his DAILY RATE on that particular day is of Php 2,420 .

The rule of three is:

8 hours - Php 1420

14 hours - x

Applying cross multiplication:

\(8x = 1420 \times 14\)

\(x = \frac{1420 \times 14}{8}\)

\(x = 2485\)

The closest option is Php 2,420.

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The system of equations with no solutions is the second one:

3x - 7y = 22

4.5x - 10.5y = 44

When we have a system of linear equations, the only case where the system has no solutions is when both of the lines are parallel lines (thus, the lines never intercept).

So we need to identify the system of linear equations where the lines are parallel.

If you look at the second system of equations, we have:

3x - 7y = 22

4.5x - 10.5y = 44

We can multiply the first equation by 1.5 to get:

1.5*(3x - 7y) = 1.5*22

4.5x - 10.5y = 33

Then the system is:

4.5x - 10.5y = 33

4.5x - 10.5y = 44

We can see that these lines are parallel,and thus, this system has no solutions.

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Answer:

Option A is the correct answer.

Answer:

x = 2, y = 4

Step-by-step explanation:

First we isolate and solve for x

y = 6x-8

y= -3x+10

6x-8 = -3x + 10

9x-8 = 10

9x = 18

x=2

Now we solve for y by inserting x into one of the equations

y = -3(2)+10

y = -6 + 10

y = 4

Answer:

12

Step-by-step explanation:

Hello. Y/x = a constant k because y and x are by definition always in the same ratio. (y varies directly as x so if x is doubled y is also doubled etc.)

Answer:

vertical line x = -3

horizontal line y =  -9

Step-by-step explanation: