Compare the following functions:

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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Answer:

22050 inches

Step-by-step explanation:

To find the area, multiply length times width.

90*245=22050.

So, the room is 22050 square inches.

Answer:

22050

Step-by-step explanation:

The decimal division of 18.92 by 11 gives us; 1.72

When dividing decimals,  we first have to convert the divisor to a whole number by moving the decimal point to the right. Thereafter, we now carry the dividend's decimal point up to the exact same number of places to the right and then divide the resultant numbers in the normal way, like in regular long division.

We want to divide 18.92 by 11. Thus, let us apply that rule described above to get;

18.92/11 = 1892/1100

= 1 + (1892 - 1100)/1100

= 1 + (792/1100)

= 1 + 0.72

= 1.72

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Answer:

              multiply second equation by (-3)

new system of equations:

3x + 5y = 30

-3x - 9y = -30

Step-by-step explanation:

x + 3y = 10

multiplied by (-3):

-3x - 9y = -30

combinig:

3x+5y + (-3x-9y) = 3x - 3x + 5y - 9y = -4y

10 + (-30) = -20

so:   -4y = -20

Answer:

Multiply the second equation by −3 to get −3x − 9y = −30.

Step-by-step explanation:

Answer:

The actual answer is C

Step-by-step explanation:

In a triangle ABC the value of side a is 13.12 cm.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know in a ΔABC, a/sinA = b/sinB = c/sinC.

GIven, In a ΔABC A = 29°, B = 36°, b = 15.8 cm.

∴ a/sinA = b/sinB.

a/sin(29°) = 15.8/sin(36°).

a/0.49 = 15.8/0.59.

a = (15.8×0.49)/0.59

a = 7.742/0.59.

a = 13.12.

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The approximate value of the greatest (largest) zero of the polynomial x³ - 2x² - 3x + 6 is x = 2.

To find the zeros of a polynomial, we need to solve the equation x³ - 2x² - 3x + 6 = 0. In this case, the polynomial is of degree 3, so it has three possible zeros.

By using numerical methods such as synthetic division or the Rational Root Theorem, we can determine the approximate values of the zeros. From these methods, we find that the zeros of the polynomial are approximately x = -1.73, x = 1.91, and x = 2.

Among these values, x = 2 is the greatest (largest) zero. Therefore, the approximate value of the greatest zero of the polynomial x³ - 2x² - 3x + 6 is x = 2.

Thus, the correct answer is option A: x = 2.

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Answer:

31.1

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

-(-5) -2

5 - 2

3

Answer:

-7

Step-by-step explanation:

Hope this helps

Answer:

the last one

Step-by-step explanation:

a square's sides should be the same angle

Answer:

i believe its the last one but im not 100% sure

Step-by-step explanation:

The mood of the categorical syllogism in example 2 is AIO.

In your example, we have the following premises and conclusion:

1. Major Premise: No dogmatists are scholars who encourage free thinking.
2. Minor Premise: Some theologians are scholars who encourage free thinking.
3. Conclusion: Some theologians are not dogmatists.

The major premise in example 2 is an A proposition (All S are not P). The minor premise in example 2 is an I proposition (Some S are P). The conclusion in example 2 is an O proposition (Some S are not P).

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\(\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=5\\ h=3 \end{cases}\implies V=\pi (5)^2(3)\implies V=75\pi ~units^3\)

The type of automobile insurance coverage that is needed in this problem is of:

Liability coverage.

The types of car insurance coverage are listed as follows:

In this problem, the situation is that Harold caused a collision that resulted in injuries to Tyler, who has to pay the ambulance/hospital bill.

This means that Harold is liable to the injuries caused to Tyler, meaning that he needs liability coverage to help pay the hospital/ambulance bill, as collision coverage and personal injury coverages are for the victim and not for the person that caused an accident.

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Using inductive reasoning we determine that the units digit of the number \(3^5^4\) is 9.

To determine the units digit of the number \(3^5^4\) using inductive reasoning, we can observe a pattern in the units digits of powers of 3.

From the given powers of 3, we can see that the units digit of \(3^1\) is 3, the units digit of \(3^2\) is 9, the units digit of \(3^3\) is 7, and so on.

If we continue this pattern, we notice that the units digits repeat in cycles of 4: {3, 9, 7, 1}.

Since 54 is a multiple of 4 (54 / 4 = 13 remainder 2), we can conclude that the units digit of \(3^5^4\) will be the same as the units digit of \(3^2\), which is 9.

Therefore, the units digit of the number \(3^5^4\)  is 9.

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Answer:

2-The function m(t)represents the miles driven over t hours.

The following would be appropriate for integers. That means that we don't have any decimals or fractions.

The number of people attending a movie, there are no half people.

The number of watermelons sold by farmers, they don't grow half watermelons.

Hope this helps

Answer:

\(JL=56\)       \(JK=39\)        \(KL=17\)

Step-by-step explanation:

Your question is not well presented/formatted; however, I can deduce that the question requires that you calculate the following lengths;

JK, KL and JL

Given that

\(JL=5x-9\)

\(JK=3x\)

\(KL=1x+4\)

The relationship between the given parameters is:

\(JL = JK + KL\)

Substitute 5x - 9 for JL; 3x for JK and 1x + 4 for KL

\(5x - 9 = 3x + 1x + 4\)

Collect Like Terms

\(5x - 3x - 1x = 9 + 4\)

\(x = 13\)

Now that the value of x has been solved, we can easily get the numeric values of JK, KL and JL by substituting 13 for x

So;

\(JL=5x-9\)

\(JL=5*13-9\)

\(JL=65 - 9\)

\(JL=56\)

\(JK=3x\)

\(JK=3 * 13\)

\(JK=39\)

\(KL=1x+4\)

\(KL=1 * 13+4\)

\(KL=13+4\)

\(KL=17\)

Hence;

\(JL=56\)       \(JK=39\)        \(KL=17\)

Using the range to compare the variability of data sets is a rather insensitive measure of data variance is the correct answer.

In this question,

The range tells you the spread of your data from the lowest to the highest value in the distribution. The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest.

Data variability also known as spread or dispersion, refers to how spread out a set of data is. Variability gives users a way to describe how much data sets vary and allows users to use statistics to compare their data to other sets of data.

Thus the disadvantage of using range is that it does not measure the spread of the majority of values in a data set, it only measures the spread between highest and lowest values.  

The options are a) It is a rather insensitive measure of data variance, b) It is hard to compute, c) It is a sensitive measure of data variance, d) It does not have any variance.

Hence we can conclude that using the range to compare the variability of data sets is a rather insensitive measure of data variance.

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The conclusion that is correct in a two-tailed test at α = .05 is There appears to be no difference in the mean occupancy rates.

From the given values:

Thus, the P-value = 0.1791

Interpret results. Since the P-value (0.1791) is greater than the significance level (0.05), we failed to reject the null hypothesis.

From the above test, we do not have sufficient evidence in favor of the claim that there is a difference in the mean occupancy rates.

Thus, option A is correct.

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Answer:

-4

Step-by-step explanation:

2 - 4 = -2

-2 multiplied by 2 is -4

Hope I helped :)

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Answer:

Part A: C. 3c - 2 = c + 22

Part B: The cat weighs 12 pounds, and the dog weighs 34 pounds.

Step-by-step explanation:

Create a system of equations:

d = 3c - 2, d = 22 + c

And substitute to get the answer to part A:

22 + c = 3c - 2

If you solve the system, you get d = 34 and c = 12 as the answer to part B.

The cat weighs 12 pounds, and the dog weighs 34 pounds.

Answer: The weight of the dog is 34 pounds and The weight of the cat is 12 pounds The answer should be B I think that's the answer

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

You can always plug in x's and solve for y.

It is concluded that TU ≅ UV is by the definition of congruence as shown in the solution part.

As per the given figure, the required proof would be as:

Statements:

1. U is the midpoint of SW.

2. T is the midpoint of SU.

3. V is the midpoint of UW.

4. TU || WV (by midpoint theorem)

5. TV || UW (by midpoint theorem)

6. UT = TV (by midpoint theorem)

7. UV = 2VT (by midpoint theorem)

Reasons:

1. Given.

2. Given.

3. Given.

4. Midpoint theorem.

5. Midpoint theorem.

6. Midpoint theorem.

7. Midpoint theorem.

Therefore, TU ≅ UV by the definition of congruence.

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Answer:

Step-by-step explanation:

I would say B

A 3x3 matrix's must first be calculated in order to determine the eigenvectors and eigenvalues of the matrix, using the quadratic formula, get the eigenvalues, determine the associated eigenvectors.

A 3x3 matrix's determinant must first be calculated in order to determine the eigenvectors and eigenvalues of the matrix. This may be accomplished by applying the expansion on eigenvalues may then be determined by using the quadratic formula to the eigenvalue equation. , the newly obtained eigenvalues may be used to solve the system of equations derived from the eigenvalue equation in order to get the associated eigenvectors. After the eigenvectors have been identified, they may be to the matrix's eigenvalues. You may eigenvalues and eigenvectors. To the matrix's structure and identify its distinctive equation, eigenvectors and eigenvalues. The solutions to a system of equations as well as the stability of the system may be found using eigenvectors and eigenvalues.

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The total VA( volt-ampere ) that must be used in a service calculation for 50' show window is 125000VA.

A volt-ampere (SI symbol: VA or V A, abbreviated as VA) is the unit of perceived power in an electrical circuit. The apparent power is equal to the product of the root mean square voltage (in volts) and the root mean square current (in amperes). Volt-amperes are commonly used to analyze alternating current (AC) circuits. In direct current (DC) circuits, this product equals the real power in watts. The volt-ampere is dimensionally identical to the watt: 1 VA = 1 W in SI units).

The total VA that must be used in a service calculation for 50' show window is, Therefore, by using VA linear foot method,

200 VA per linear foot×50'=10000VA10000VA×1.25

=125000VA

Hence, the total VA that must be used in a service calculation for 50' shadow is 125000VA.

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