- The highest common factor of two numbers is 175.
The lowest common multiple of these two numbers
is 12 600.
Both numbers are greater than their highest
common factor.
Find the two numbers.

The simplest form of (m². m⁵. m⁻³ ) is m⁴  

Writing a number as the product of itself a number of times are known as an Exponent.

For example,

If 7 is multiplied by itself 3 times, i.e. 7 × 7 × 7. This can be represented as 7³. Where 7 is the base and 3 is the exponent.

If a is multiplied by itself b times, i.e. a × a × a...(b times). This can be represented as (aᵇ). Where 'a' is the base and 'b' is the exponent.

Here we have

The expression (m². m⁵. m⁻³ )

As we know, (aᵇ . aˣ. aᵃ) = aᵇ⁺ˣ⁺ᵃ  

(m². m⁵. m⁻³ ) = m²⁺⁵⁻³  = m⁴  

Therefore,

The simplest form of (m². m⁵. m⁻³ ) is m⁴  

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Answer:

There is no slope, it is undefined and the line would continue to go up from the position x= -9

brainliest if correct please

Answer:

38°

Step-by-step explanation:

hope this helps :)

As per Mental hypothesis, the statistical inference procedures that we should use Chi-square test for goodness of fit.

Hypothesis

In probability, an idea or explanation that you then test through study and experimentation is known as hypothesis.

Given,

Here we have given that, an experiment involving peas results in 580 offspring, 152 of which peas have yellow pods. Mendel claimed that the proportion of peas with yellow pods should be 25%. we want to know if these data are consistent with Mendel's hypothesis.

And we need to find in which statistical inference procedures should we use.

According to the definition of Chi-square test for goodness of fit, the claim is that the proportion of peas with yellow pods should be 25%. And then here the researcher wants to check that the experimental and observed counts of yellow offspring peas shows significant difference or not.

So, the statistical procedure used to study this case is Chi-square test for goodness of fit . Hence, option (1) is correct.

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Answer:

x ≤ - 5/3    

Step-by-step explanation:

Let the number be x

The sum of a number times 9 and 30 is at most 15 translates algebraically to

9x + 30 ≤ 15

Subtracting 30 both sides:
9x ≤ -15

Dividing by 9 both sides:
x ≤ - 15/9

or

x ≤ - 5/3    

For a government published the above stem-and-leaf plot related to number of sloths at each major zoo in the country. The smallest of sloths at any one zoo was three.

A stem-and-leaf plot is a tool for presenting quantitative data in a graphical format, like as histogram for visualizing the shape of a distribution.

We have a stem-and-leaf plot present above and which showing the number of sloths at each major zoo in the country is published by government. Now, see the above plot carefully, thee smallest number in the stem-and-leaf plot is 03. We can get that by looking at the first stem value and the first leaf value. Hence, required number is 3.

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Complete question:

The government published the above stem-and-leaf plot showing the number of sloths at each major zoo in the country:pls answer fast if you can :

what was the smallest number of sloths at any one zoo?

Deductive reasoning is used.

Deductive reasoning is the logic process of drawing a conclusion applying a general rule to a specific case.

To solve the equation 5x + 7 = 12 you apply this:

Rule                                                        application      

Subtraction property of equality          5x = 12 - 7

Simplification                                         5x = 5

Division property of equality                 x = 5/5

Simplification                                          x = 1.

Thus, by using the general rules to the specific equation, you get the result x = 1, which shows that this is a case of deductive reasoning.

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Answer:

c  =  1 ,  a  =  2,  b  =  3

Step-by-step explanation:

Answer:

He would have run 21 miles in 3 hours.

Step-by-step explanation:

Answer:

Step-by-step explanation:

4x + 3 + 2x + 9 = 180°

6x + 12 = 180

6x = 180 - 12

6x = 168

x = 168 : 6

x = 28°

-------------------------------

4 × 28 + 3 + 2 × 28 + 9 = 180    (remember PEMDAS)

112 + 3 + 56 + 9 = 180

180 = 180

The domain of a function is all the values of x that is satisfied by the function.

• The domain of the function is, {x|x is all real numbers}

The range of a function is the set of all values of y that satisfies the function.

• The range of the function is ,{y | y is greater than zero}

• The graph is ,increasing, over the interval (0, ∞)

• The graph is ,decreasing, over the interval (-∞, 0)

Answer: 6.7

Step-by-step explanation:

use trig to find x

cos ∅ = adjacent/hypotenuse

cos32 =8/x

x=8/cos32

=6.7

The proportion of bags of chips that weigh under 8 ounces or more is approximately 0.159, or 15.9%.

To find the proportion of bags of chips that weigh under 8 ounces or more, we need to calculate the cumulative probability up to the value of 8 ounces in a normal distribution with a mean of 8.1 ounces and a standard deviation of 0.1 ounces.

Using a standard normal distribution table or a statistical software, we can find the cumulative probability for the z-score corresponding to 8 ounces.

The z-score can be calculated using the formula:

z = (x - μ) / σ

where x is the value of interest (8 ounces), μ is the mean (8.1 ounces), and σ is the standard deviation (0.1 ounces).

Substituting the values:

z = (8 - 8.1) / 0.1

z = -1

Looking up the cumulative probability for a z-score of -1 in a standard normal distribution table, we find the value to be approximately 0.159.

Therefore, the proportion of bags of chips that weigh under 8 ounces or more is approximately 0.159, or 15.9%.

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Following a reflection over the x-axis and a translation I unit to the left, the transformations will translate the trapezoid RSTU onto the trapezoid NMLK.

A point, line, or geometric object can be changed in four different ways that are all collectively referred to as transformations. The pre-image is the shape of the object as it was originally, and the transformed shape of the object is termed the image.

Translation, rotation, reflection, and expansion are the four different types of transformation. Geometry. The x-coordinate of a point that is reflected across the x-axis stays constant, but the y-coordinate is assumed to be the additive inverse. The x-axis' reflection of point (x, y) is (x, -y). The X axis reflection rule states that each point's y-coordinate must be negative while the x-value must remain constant.

Therefore the correct answer is option A) reflection over the y-axis, then a translation I unit to the right.

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Answer:

I don't understand the arrangement of the "table."  I'll assume the question wants to know the values of b as a increase from 2 to 6.

Step-by-step explanation:

The resulting table is attached.

Step-by-step explanation:

if 2(0+2)=0+4=4 Answer

3(0+1)+1=(0+3)+1=4 Answer

hope it helps

The simplest form of the expression as we have it is; (-4x^4z^2)(2xy^3z^2)

When we are asked to simplify, what we are asked to do is to write the expression that we have in a form that is simplest. That is, we should put the expression in a form that there would not be any simpler presentation of the expression.

We have;

(-2x^2z)^2(2xy^3z^2)

Then we now have to deal with the exponent outside the bracket;

(-4x^4z^2)(2xy^3z^2)

Thus, we now have the expression in the simplest form that it can take and it can not be further broken down.

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Answer:

m-4=2m                                                                                                                                        

:)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))

Answer:

Below in bold.

Step-by-step explanation:

sin S = opposite side / hypotenuse = 77/85

cos S = adjacent side / hypotenuse = 36/85

tan S = opposite side / adjacent side = 77/36.

Answer:

see explanation

Step-by-step explanation:

sin S = \(\frac{opposite}{hypotenuse}\) = \(\frac{TU}{TS}\) = \(\frac{77}{85}\)

cos S = \(\frac{adjacent}{hypotenuse}\) = \(\frac{SU}{TS}\) = \(\frac{36}{85}\)

tan S = \(\frac{opposite}{adjacent}\) = \(\frac{TU}{SU}\) = \(\frac{77}{36}\)

Answer:

Step-by-step explanation:

Total payment to each client comprises of the base fee and the fee for moving boxes:

Total amount is $512.45

The mean of the sampling distribution of p is 0.4.

What is mean of the sampling distribution?

Mean is the average of set data include set data of sampling distribution. Mean can be calculate by sum all data value and divided the result by numbers of data, or mathematically is

Mean = \(\frac{\sum x}{n}\)

Given,

a newspaper report claimed that 40% of all US adults went to church last week. This tells us that the average US adult going to church in the last week was 40% from all US adults, which in mathematics is called mean.

Why?

Mean is the average of set data, in the question set data are US adults represented by a random sample of 1785 adults. The average US adults going to church is 40% or 0.4 which represents the mean.

Thus, the mean of the sampling distribution of p is 0.4.

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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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In the given boundary-value problem, we are asked to set up the set of equations required to solve the problem using the finite difference method. The equation is y" = 2x²y + xy + 2, and we are given the boundary conditions y(1) = -1 and y(4) = 4.

To solve the problem using the finite difference method, we can approximate the second derivative y" using the central difference formula: y" ≈ (yₙ₊₁ - 2yₙ + yₙ₋₁) / h². Substituting this approximation into the original differential equation, we obtain the finite difference equation: (yₙ₊₁ - 2yₙ + yₙ₋₁) / h² = 2xₙ²yₙ + xₙyₙ + 2.

For the given boundary conditions, y(1) = -1 and y(4) = 4, we can use these values to form additional equations. At x₀ = 1, we have the equation y₀ = -1. At xₙ = 4, we have the equation yₙ = 4.

In summary, the set of equations required to solve the boundary-value problem by the finite difference method, with the given boundary conditions, would be:

(y₂ - 2y₁ + y₀) / h² = 2x₁²y₁ + x₁y₁ + 2,

(y₃ - 2y₂ + y₁) / h² = 2x₂²y₂ + x₂y₂ + 2,

...

(yₙ₊₁ - 2yₙ + yₙ₋₁) / h² = 2xₙ²yₙ + xₙyₙ + 2,

y₀ = -1,

yₙ = 4.

These equations form a system of equations that can be solved numerically to obtain the solution to the boundary-value problem.

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By convention, we use a bar graph when the groups on the x-axis (horizontal axis) are represented on a categorical or discrete scale; we use a line graph when the groups on the x-axis are represented on a continuous or numerical scale.

A bar graph is commonly used to display categorical or discrete data, where the groups or categories on the x-axis are distinct and separate from each other.

For example, the x-axis could represent different types of fruits or months of the year. Each category is represented by a separate bar, and the height of each bar corresponds to the frequency, count, or value associated with that category.

On the other hand, a line graph is typically used to represent data on a continuous or numerical scale. The x-axis represents a continuous range of values, such as time, temperature, or distance.

Each data point is plotted as a dot or marker on the graph, and the points are connected by lines. This type of graph is useful for showing trends, patterns, or changes over time or across a continuous range.

The choice of using a bar graph or a line graph depends on the nature of the data and the purpose of the visualization. Categorical data is best represented using a bar graph to emphasize the distinct categories, while numerical or continuous data is better suited for a line graph to visualize trends and relationships.

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The statement " If the demand curve (marginal revenue product) of labor is given by w = 100 - L and the supply curve by w = L, a monoposonist will hire half the quantity of labor compared to a perfectly competitive employer" is uncertain

In a perfectly competitive labor market, the equilibrium wage rate is determined by the intersection of the demand and supply curves. In this case, the demand curve for labor is given by w = 100 - L, and the supply curve is given by w = L. To find the equilibrium quantity of labor, we equate the demand and supply curves:

100 - L = L

Solving this equation, we find L = 50. This means that in a perfectly competitive labor market, the equilibrium quantity of labor hired is 50 units.

Now, a monopsonist is a single buyer of labor in the market, exerting market power to influence the wage rate. A monopsonist faces an upward-sloping supply curve of labor, as it has to pay a higher wage to attract more workers. In this case, the supply curve is still given by w = L.

However, the demand curve (marginal revenue product) of labor for a monopsonist is typically lower than the demand curve in a perfectly competitive market. This is because the monopsonist has to pay a higher wage to all workers, not just the last one, to attract additional workers.

Therefore, the demand curve for a monopsonist is usually flatter or has a lower slope compared to the perfectly competitive employer.

Given the demand curve w = 100 - L and the supply curve w = L, it is not clear whether the monopsonist will hire half the quantity of labor compared to a perfectly competitive employer.

It would depend on the specific shape and slope of the monopsonist's demand curve, which is not provided in the given information. Therefore, the statement is uncertain.

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The 5 steps in dividing rational expressions are explained below.

Rational expression seem to be parts that have factors in their denominators (and frequently numerators as well). For instance, x 2 x + 3 \dfrac{x^2}{x+3} x+3x2 start part, x, squared, separated by, x, furthermore, 3, end portion is a reasonable articulation.

1) Take the rational expression.

2) Rewrite the division as the product of the first rational expression then, the reciprocal of the second.

3) Factor the numerators and denominators of rational expression completely.

4) Multiply the numerators and denominators together.

5) Simplify by dividing out common factors.

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Answer:

{(3, 10), ( -2, 10), (5, 10), (10, 10)}

Step-by-step explanation:

From what I know about functions is that for each number there can only be one input meaning that a number can't be used for another number for example if there is a 3 and it has a number which is 7 it can't have another output in this case 3 has another output which is 22 and that can't happen, meaning that this isn't a function. The other 2 are the same there is a number that has more than one output. The only one that has one input for every output is the last answer choice. {(3, 10), ( -2, 10), (5, 10), (10, 10)} is the only one that shows a function. Because for every input/number there is exactly one output.