Which of the following linear functions have a rate of change that is greater than 14? Select all that apply. Fahim received a signing bonus of $1000 and then made $10 per hour. x y –2 15 0 30 2 45 x y –3 58 1 –6 2 –22 Annie painted 2 houses in 16 hours. Jay drove 64 miles in 4 hours. x y 3 –20 2 –40 0 –80

a. GCD using the prime factorization method= 1

LCM = 11 × 19 = 209

b. GCD using the prime factorization method= 2²×5 = 20

LCM =  2²×5×7×2⁴ = 2240

A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number.

Here, we have

Given: Find the GCD and the LCM for the following numbers groups.

a. 11 and 19

11 and 19 both are prime numbers.

Now, we find GCD

GCD = 1

LCM of 11 and 19:

LCM = 11 × 19 = 209

b. 140 and 320

First, we find a factor of each number

140 = 2²×5×7

320 = 2²×2⁴×5

GCD and LCM of 140 and 320:

GCD = 2²×5 = 20

LCM =  2²×5×7×2⁴ = 2240

c. 800, 75, and 450

First, we find a factor of each number

800 = 2⁵×5²

75 = 3×5²

450 = 2×3²×5²

GCD and LCM of 800, 75, and 450 :

GCD = 5² = 25

LCM = 7200

d. 103 and 320

First, we find a factor of each number

103 = 103 ( this is the prime number)

320 = 2⁶×5

GCD and LCM of 103 and 320:

GCD = 1

LCM = 32960

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If the company made a profit of $112000, i first year operation, then the total profit made by the company in 26 years of operation is $8170286.

In order to find the profit after 26 years, we use the formula for "future-value" of investment with compound interest;

⇒ FV = PV × (1 + r)ⁿ,

where FV is = future value, PV is = present value, r is = interest rate per period, and n = time (in years),

In this case, the "present-value" is $112,000, the "interest-rate" per period is 18%, and time is 26 years.

We have to find the total profit, which is = "future-value" - "present-value",

⇒ Total profit = FV - PV,

Substituting the value,

We get,

⇒ FV = $112000 × (1 + 0.18)²⁶,

⇒ FV = $8282285.79 ≈ $8282286,

So, Total profit = $8282286 - $112000,

Total profit = $8170286,

Therefore, the company would make a total-profit of $8170286.

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The inequality shaded in the graph is given as follows:

y ≥ 5x/2 + 3.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The graph crosses the y-axis at y = -3, hence the intercept b is given as follows:

b = 3.

When x increases by 2, y increases by 5, hence the slope m is given as follows:

m = 5/2.

Then the equation of the line is given as follows:

y = 5x/2 + 3.

The line is a solid line, and values above it are plotted, hence the inequality is given as follows:

y ≥ 5x/2 + 3.

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The surface area of the sphere is 132 ft². Thus, the correct answer choice is H.

The surface area of the sphere can be calculated using the formula \(A = 4\pi r^2\), where \(A\) represents the surface area and \(r\) is the radius of the sphere.

Given that the area of the great circle of the sphere is 33 ft², we can use this information to find the radius of the sphere.

The area of the great circle is equal to the area of the base of the sphere, which is a circle. The formula for the area of a circle is \(A = \pi r^2\). Since the given area of the great circle is 33 ft², we have:

\(\pi r^2 = 33\)

To find the radius \(r\), we divide both sides of the equation by \(\pi\):

\(r^2 = \frac{33}{\pi}\)

Now, we can find the surface area of the sphere by substituting the radius into the formula for surface area:

\(A = 4\pi r^2 = 4\pi \left(\frac{33}{\pi}\right)\)

The \(\pi\) in the numerator and denominator cancels out, giving:

\(A = 4 \times 33 = 132\) ft²

Therefore, the surface area of the sphere is 132 ft². Thus, the correct answer choice is H.

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Answer:

Same-side exterior angles

Step-by-step explanation:

Through the process of elimination it is not:

→ Corresponding angles as that would be 2 and 6

→ Same side interior angles as that would be 3 and 6 or 4 and 5

→ Alternate interior angles as that would be 6 and 4 of 3 and 5

The conversion of decimal number directly to binary number will be faster.

The number conversion deals with the operation to change the base of the number.

Binary number - It contains only 2 numbers that are 1 and 0.

Decimal number - It contains 10 numbers that are from 0 to 9.

Hexadecimal number - It contains 16 numbers that are from 0 to F.

Convert the decimal number 431 to binary will be

431 / 2 = 215 with 1 remainder

215 / 2 = 107 with 1 remainder

107 / 2 = 53 with 1 remainder

53 / 2 = 26 with 1 remainder

26 / 2 = 13 with 0 remainder

13 / 2 = 6 with 1 remainder

6 / 2 = 3 with 0 remainder

3 / 2 = 1 with 1 remainder

1 / 2 = 0 with 1 remainder

The decimal number 431 to binary number will be 110101111.

Convert first to hexadecimal and then from hexadecimal to binary. Then we have

(431)₁₀ = (1AF)₁₆ = (110101111)₂

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Answer:

11

Step-by-step explanation:

If you input the number and then solve, you should get that #=#

2(11)+9=4(11)-13

22+9=44-13

31=31

Answer: 11

Step-by-step explanation: 2(11)+9=4(11)-13, 22+9=44-13, 31=31

D. Poisson distribution most frequently describes the arrival rate in queuing​ theory.

The study of how people, things, or information move in a line is known as queuing theory. It is possible to develop services and systems that are more effective and economical by researching congestion and its causes.

Waiting lines in healthcare settings may be analysed using the queueing theory. Queuing analysis can be utilised for short-term solutions or for facility and resource planning because the majority of healthcare systems have extra capacity to tolerate random changes.

Because it offers the tools for queue optimization and helps to define queue characteristics like the average wait time, queueing theory is crucial. Queuing theory provides guidance for the design of successful and affordable workflow systems from a commercial perspective.

Correct option: D

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On a unit circle, the terminal point of theta is (sqrt 3/2, 1/2). theta if 0° is 30 degrees.

The measurement of an angle is expressed in terms of degrees. Radians and degrees are the two most often used units for measuring angles. In actual geometry, the angle is always measured in degrees. Degree is denoted by the sign °. (degree symbol). One full rotation is equal to 360 degrees (sometimes written as 360°), which is the measurement of a complete angle in degrees. The unit of measurement for angles is the degree. Since radians are the SI unit for measuring angles, it is not a SI unit. In geometry, we typically use a protractor to measure angles in degrees. In most cases, a protractor is utilized in schools to measure angles in order to address various mathematical issues.

Given

x = √3/2

y = 1/2

theta = arctan(y/x)

theta = arctan(1/2÷√3/2)

theta = arctan(1/2 * 2/√3)

theta = arctan(1/√3)

theta = 30°

On a unit circle, the terminal point of theta is (sqrt 3/2, 1/2). theta if 0° is 30 degrees.

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Answer:

Right

Step-by-step explanation:

The problem is right because if you solve it the solution is 16x^10

x^7(2x^3+14x^3)

Collect like terms

x^7 x 16x^3

Calculate the product

16x^10

Answer:

I'm gonna go with B

Step-by-step explanation:

Don't take my word for it

The equation |y| = x  is graph of a pair of intersecting lines is not a function of x because there are multiple y-values for a given x-value. The equation y^2 = x^2 is not a function of x because for each value of x, there are two possible y-values.

a. |y| = x:

This equation represents the absolute value function where the input is x and the output is |y|, which is always positive. When x is positive, the equation simplifies to y = x, and when x is negative, it simplifies to y = -x. Therefore, the graph of this equation is a pair of intersecting lines passing through the origin

This equation is not the graph of a function of x because there are multiple y-values for a given x-value. For example, when x = 1, there are two possible y-values, y = 1 and y = -1.

b. y^2 = x^2:

This equation can be rewritten as y = ±x by taking the square root of both sides, which means that the graph of this equation is two intersecting lines passing through the origin, one with positive slope and the other with negative slope

This equation is not the graph of a function of x because for each value of x, there are two possible y-values, one positive and one negative. Therefore, the vertical line test is not satisfied, and the graph is not the graph of a function of x.

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Answer:

∠ UVX = 126.8°

Step-by-step explanation:

∠ WVS and ∠ UVX are vertical angles and congruent, then

∠ UVX = 126.8°

Answer:

No it can't be.

Step-by-step explanation:

Because 57 is not a perfect square.

The percentage of items that will weigh at least 11.7 ounces is 3.22%.

The weight of items produced by a machine is normally distributed with a mean (μ) of 8 ounces and a standard deviation (σ) of 2 ounces. We need to determine the percentage of items that will weigh at least 11.7 ounces using this information. The given information is as follows:

Mean (μ) = 8 ounces

Standard deviation (σ) = 2 ounces

Let X be the weight of the item produced by the machine.

Then the random variable X ~ N(8, 2²) = N(8, 4)

We need to find the percentage of items that will weigh at least 11.7 ounces. That isP(X ≥ 11.7)

We can calculate it as follows:

z = (11.7 - μ) / σ = (11.7 - 8) / 2 = 1.85

P(X ≥ 11.7) = P(Z ≥ 1.85)

We can look up this probability in the standard normal distribution table or use a calculator.

Using the standard normal distribution table, we can find that the probability of a Z-value being greater than or equal to 1.85 is approximately 0.0322.

Therefore, the percentage of items that will weigh at least 11.7 ounces is:

P(X ≥ 11.7) = P(Z ≥ 1.85) ≈ 0.0322 ≈ 3.22%

Therefore, the answer is 3.22%.

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Answer:

  B’

Step-by-step explanation:

You want to know the vertex that has coordinates (24, 12) after dilation by a factor of 6 about the origin.

When the center of dilation is the origin, the scale factor multiplies each coordinate value. Then the coordinates of the original point whose dilated location is (24, 12) is ...

  6(x, y) = (24, 12)

  (x, y) = (24, 12)/6 = (24/6, 12/6) = (4, 2) . . . . . . matches point B

The image point is B'.

Given the following function:

f(x) = 3x - 3

Let's determine the value at f(-3),

This means that we will be replacing all x variables of f(x) by -3.

We get,

f(x) = 3x - 3

f(-3) = 3(-3) - 3

= -9 - 3

f(-3) = -12

Therefore, f(-3) = -12

Given the following function:

f(x) = 3x - 3

Let's determine the value at f(-3),

This means that we will be replacing all x variables of f(x) by -3.

We get,

f(x) = 3x - 3

f(-3) = 3(-3) - 3

= -9 - 3

f(-3) = -12

Therefore, f(-3) = -12

Answer: b. Stability/instability

Step-by-step explanation:

Random variation in a process indicates stability; whereas non-random variation indicates process instability.

When there is random variation in a process, it means that the process is stable and under control such that the only variations are those expected to be in the process.

When the variation is non-random however, it points to instability in process because this variation is special and not inherent in the process.

Answer:

the answer will be X=8

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

The triangles are similar (they share an angle and sides are marked as in ratio to one another).

Therefore (6x+1)=(9x-23)

6x+1=9x-23

1+23=9x-6x

3x=24

x=8

Answer:

reject is to deny an offer or something else

The Z score that is equivalent to the raw score 92.5 is B. -1.25.

A Z score represents the number of standard deviations a raw score is from the mean in a normal distribution. To calculate the Z score, we use the formula: Z = (X - μ) / σ, where X is the raw score, μ is the mean, and σ is the standard deviation.

Given that the mean score is 100 and the standard deviation is 15, we can calculate the Z score for the raw score 92.5 as follows:

Z = (92.5 - 100) / 15

Z = -7.5 / 15

Z = -0.5

Therefore, the Z score that is equivalent to the raw score 92.5 is -0.5.

The Z score is a useful measure in statistics that allows us to standardize and compare data points across different distributions. It helps us understand the relative position of a data point within a distribution and determine how unusual or typical that data point is compared to others. By calculating the Z score, we can easily determine the percentage of data points that fall below or above a particular value in a normal distribution, which aids in making statistical inferences and drawing conclusions.

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Answer:

0.6563 flour left

Step-by-step explanation:

1/4 of .875 is .2187

Answer:

Step-by-step explanation:

1/4*0.875= 7/32

so 0.875, there are 4 7/32 kgs

and she used 1 of it

so there are 3 left

3*7/32= 21/32

The main answer to this question is that there could be several reasons why an experiment may not produce significant results even if the research hypothesis is true.

One possible explanation could be that the sample size used in the experiment was too small, which could have resulted in insufficient statistical power to detect the true effect of the independent variable on the dependent variable. Another explanation could be that there were extraneous variables that were not controlled for in the experiment, which could have influenced the results and made it difficult to detect the true effect of the independent variable.

it is important to consider all possible factors that may affect the results of an experiment and to take steps to minimize their impact. This includes ensuring that the sample size is appropriate, controlling for extraneous variables, and using appropriate statistical tests to analyze the data. By doing so, researchers can increase the likelihood of obtaining significant results that accurately reflect the effects of the independent variable on the dependent variable.

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Answer: 5

Step-by-step explanation:

First we should do the first step: 7+2=9, The they lose 4 which then 9-4

which would equal 5

Answer:

7+2-4=?

7+2=9-4=5

According to the survey results, 53% of respondents reported having colleagues who are rude or disrespectful. This is a concerning finding, as workplace incivility can have negative effects on employee well-being, job satisfaction, and productivity.

It is important for organizations to address and prevent such behaviors through training, policies, and a culture of respect and accountability. It is also important for individuals to speak up and address rude or disrespectful behavior when it occurs, in a constructive and professional manner. By promoting civility and respect in the workplace, we can create a more positive and productive work environment for everyone.

According to the survey, 53% of respondents reported having colleagues who are rude or disrespectful. This percentage indicates that more than half of the surveyed individuals have experienced unprofessional behavior from their coworkers.

It is essential for everyone in a professional environment to treat their colleagues with respect and maintain a positive work environment.

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Answer:

One possible rational expression that simplifies to 2x/(x+1) and meets the given restrictions is:

(4x^2 - 2x - 3) / [(x + 1)(x - 3)(x - 2)]

To see why this expression simplifies to 2x/(x+1), we can simplify the numerator and denominator separately:

Numerator:

2x(2x-1) = 4x^2 - 2x

Denominator:

(x+1)(x-3)(x-2)

Multiplying the numerator and denominator by -1 gives:

(-2x)(2x-1) / [(3-x)(2-x)(1+x)]

Then, we can rearrange the factors in the denominator to get:

(-2x)(2x-1) / [(x+1)(x-2)(x-3)]

Now we have the desired rational expression that simplifies to 2x/(x+1) and has the given restrictions on x.

Step-by-step explanation:

Answer:

22

i took this one

Answer:

17.5

Step-by-step explanation:

94 divided by 4 is 23.5 and I subtracted 6 from 23.5

The equation of point where the curve intersects the y-axis is (0, 1), as the y-coordinate is always 1 when x is 0.

The equation of a curve in the form y = a×x represents an exponential function equation, "a" is the base of the exponential function, and it determines the rate of growth or decay.

When the curve intersects the y-axis,

The value of x is 0. Substituting x = 0 into the equation,

y = a×0

y = 1

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