27. Solve the equation:
2(9x-6)=6(3x-2)+2

Researching the average earnings by major and by career can help you determine the return on investment of an institute of higher education.

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I’m not sure what that meant.

Answer:

cool

Step-by-step explanation:

Descriptive statistics is a branch of statistics that deals with the collection, analysis, interpretation, and presentation of data. It focuses on summarizing and describing the characteristics of a sample or population. The purpose of descriptive statistics is to provide a clear and concise summary of the data, including measures of central tendency, variability, and distribution.

True,This information can be used to make inferences about the population as a whole. Therefore, descriptive statistics helps statisticians to better understand and interpret the population data.

False, Descriptive statistics is a branch of statistics that focuses on summarizing and organizing data from a sample or population. It provides insights into the basic features of the data, such as the mean, median, and standard deviation, but does not make inferences about the population.

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False, the correct slope is not 16. The correct slope at the point (2, 1) is -48, not 16. Hence, the statement is false.

The given equation is\(24x² + y² = a²\), and we need to find the slope at the point (2, 1). To find the slope, we differentiate the equation with respect to x and solve for dy/dx. Differentiating the equation, we get:

\(48x + 2y * (dy/dx) = 0\)

Substituting the coordinates of the point (2, 1), we have:

\(48(2) + 2(1) * (dy/dx) = 096 + 2(dy/dx) = 02(dy/dx) = -96dy/dx = -48\)

Therefore, the correct slope at the point (2, 1) is -48, not 16. Hence, the statement is false.

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The amount of social security tax and medicare tax to be paid on an annual salary of $35,400 is $2,194.80 and $513.30 respectively.

Here, we are given an annual salary of $35,400.

Social security is paid at the rate of 6.2 percent per annum.

Thus, the social security tax amount can be calculated as-

6.2% of 35,400

= 6.2/100 × 35400

= 0.062 × 35400

= 2,194.80

Now, medicare is paid at the rate of 1.45% per annum

Thus, the medicare tax amount can be calculated as-

1.45% of 35400

= 1.45/100 × 35400

= 0.0145 × 35400

= 513.3

Thus, the amount of social security tax and medicare tax to be paid on an annual salary of $35,400 is $2,194.80 and $513.30 respectively.

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Answer:

The answer is A

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

The group of participants who are not exposed to the independent variables are the known as the control group.

Good luck! :)

Answer:

range= 2,0,-5,-10

domain= 7,-10,-5,13

Step-by-step explanation:

the range is all of the y values

the domain is all of the x values

7) 13 + -2 = 13 + (-2) = 13 - 2 = 11

8) -12 - 8 = - (12 + 8) = - (20) = -20

Answer:

Alternate interior: angle 2 and angle 13

Vertical: angle 12 and angle 15

Alternate exterior: angle 5 and angle 10

No relationship: angle 1 and angle 16

Corresponding: angle 14 and angle 16

Consecutive interior: angle 4 and angle 11

Answer:

Vertical: angle 12 and angle 15

Alternate exterior: angle 5 and angle 10

No relationship: angle 1 and angle 16

Corresponding: angle 14 and angle 16

Consecutive interior: angle 4 and angle 11Step-by-step explanation:

The probability of picking 4 aces in 4 tries in a deck of 20 cards contains 4 aces is B. 0.0016

Probability is the likelihood of an event

Since deck of 20 cards contains 4 aces. What is the probability of picking 4 aces in 4 tries? After each try, the card is put back and the cards are reshuffled. To find this probability, we proceed as follows.

Let P(A) = probability of picking an ace

P(A) = number of aces/total number of cards

Since we have 4 aces and 20 cards, we have that

P(A) = 4/20

= 1/5

= 0.2

Now, we want the find the probability of picking 4 aces after 4 tries when each card is returned and reshuffled.

Let P(4 aces) = probability of picking 4 aces

Now, since the probability of picking one ace in each of the 4 tries is independent, we have that

P(4 aces) = P(A) × P(A) × P(A) × P(A)

= [P(A)]⁴

So, substituting the value of the variable into the equation, we have that

P(4 aces) =  [P(A)]⁴

=  [0.2]⁴

= 0.0016

So, the probability is B. 0.016

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Answer:

unbiased sample

Step-by-step explanation:

The population is divided into similar, nonoverlapping groups. A simple random sample then selected from each group.

A biased sample is the opposite of unbiased sample.

Answer:

[B] unbiased

Step-by-step explanation:

Let's first define each answer choice;

Biased sample: sample not representative of the entire population.

Unbiased sample: sample where every member of the population has an equal chance of being selected.

Convenience sample: sample where representatives are easily accessible.

Free sample: Sample of small amount

Thus, base on the define of the answer choices we can know that

[B] unbiased sample is the correct answer.

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If a calculator displays an angle measure in radians instead of degrees, it would make you question whether the calculator is in the right mode. Radians and degrees are two different units of measuring angles, with radians being the standard unit in mathematics and degrees being more commonly used in everyday life and geography.

Because the range of values for angles in radians is between 0 and 2π, while the range for angles in degrees is between 0 and 360. So, if a calculator gives an angle measure in radians that is outside the range of 0 to 2π or gives an angle measure in degrees that is outside the range of 0 to 360, it would indicate that the calculator is not in the correct mode for the desired unit of measurement.

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Answer:

A conditional statement is something like:

If P, then Q.

P = hypothesis.

Q = conclusion.

In this case, we have:

"If a polygon is a quadrilateral, then it is a square".

1) The hypothesis is: a polygon is a quadrilateral

2) The conclusion is:  it is a square

3) It is not true, because there are other quadrilaterals that are not squares, for example, the rectangles.

4) The inverse of a conditional statement is (using the same notation than above)

If not P, then not Q.

In this case is:

"If a polygon is not a quadrilateral, then it is not a square"

(this is true)

5) A converse statement is:

If Q, then P

In this case is:

"if it is a square, then the polygon is a quadrilateral"

(Also true)

6) A biconditional statement is written as:

P if and only if Q.

In this case is:

A polygon is a quadrilateral if and only if it is a square.

(This is false)

The coordinate of point x is 12

The number line that completes the question is added as an attachment

The ratio is given as:

mx :xj = 3:1.

Also, we have:

M = 2

J = 18

So, we have

x = mx/(mx + xj) * (J - M)

This gives

x = 3/4 * (18 - 2)

Evaluate

x = 12

Hence, the coordinate of point x is 12

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Scale drawing takes scaled versions of original lengths. The actual length of the swing set area of the park is 25 ft long and 100 ft wide

For a particular scale drawing, it is already specified that all the measurements' some constant scaled version will be taken. For example, let the scale be K feet to s inches.

Then it means

\(\rm 1\: ft : \dfrac{s}{k}\: in.\)

All feet measurements will then be multiplied by s/k to get the drawing's corresponding lengths.

For the given case, it is given that

Real dimension of a rectangular park : 600 ft by 1000 ft

In drawing, it was of 12 inches by 20 inches.

Let the scale that the drawing is using be k feet to s inches, then

\(\rm 1\: ft : \dfrac{s}{k}\: in.\)

Since it is given that 600 ft : 12 inches and 1000 ft : 20 inches, thus, we get:

\(\rm 1\: ft : \dfrac{s}{k}\: in.\\\\600 \: ft = \dfrac{600\times s}{k} \: in. = 12 \: in.\\\\\dfrac{600 \times s}{k} = 12\\\\\dfrac{s}{k} = \dfrac{12}{600} = 0.02\)

Thus, every feet is reduced 0.02 times in drawing.

Now,

it is given that in drawing, the rectangular area for swing sets is 0.5 inch to 2 inch.

Let its real length was L and real width was W. Then we have:
\(\rm L \times 0.02 = 0.5 \\\\L = \dfrac{0.5}{0.02} = 25 \:\\\\W \times 0.02 = 2 \\W = \dfrac{2}{0.02} = 100\)

Since these are only magnitudes, and unit was converted from feet to inches, so we have L = 25 feet and W = 100 feet

Thus,

The actual length of the swing set area of the park is 25 ft long and 100 ft wide

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Answer:

the answer is 20

Step-by-step explanation:

Answer:

The answer is -285

Step-by-step explanation:

it is 25% hehehheheheheh

Answer:

one fourth

Step-by-step explanation:

it is split into fourths. if one is shaded, it is one fourth

Answer:

300 new employees

Step-by-step explanation:

1:3

x + 3x = 1,200

4x = 1200

x = 300

Answer:

What do you need help with? :P

Step-by-step explanation:

Hav a gud day :3

Answer:

With your square root in simplest terms, it's usually fairly easy to get a rough estimate of a numerical answer by guessing the value of any remaining square roots and multiplying through. One way to guide your estimates is to find the perfect squares on either side of the number in your square root.

Step-by-step explanation:

In mathematics, a square root of a number x is a number y such that y² = x; in other words, a number y whose square (the result of multiplying the number by itself, or y ⋅ y) is x. For example, 4 and −4 are square roots of 16, because 4² = (−4)² = 16. Every nonnegative real number x has a unique nonnegative square root, called the principal square root, which is denoted by √(x), where the symbol √() is called the radical sign or radix.

Use division to find the square root. To find the square root of a whole number, you could also divide the whole number by numbers until you get an answer that is the same as the number you used to divide the whole number. For example: 16 divided by 4 is 4.

The vertex of the Quadratic function with a y-intercept of (5, 0) and an x-intercept of (0, 80) is located at the point (0, 0).

The vertex of a quadratic function given the y-intercept and x-intercept, we need to determine the axis of symmetry, which is the line that passes through the vertex. The x-coordinate of the vertex will be the midpoint between the x-intercepts, while the y-coordinate will be the same as the y-intercept.

Given that the y-intercept is (5, 0) and the x-intercept is (0, 80), we can determine the x-coordinate of the vertex by finding the midpoint of the x-intercepts. The x-coordinate of the midpoint is simply the average of the x-values:

x-coordinate of vertex = (0 + 0) / 2 = 0 / 2 = 0

Since the y-coordinate of the vertex is the same as the y-intercept, the vertex will have the coordinates (0, 0).

Therefore, the vertex of the quadratic function is (0, 0).

In conclusion, the vertex of the quadratic function with a y-intercept of (5, 0) and an x-intercept of (0, 80) is located at the point (0, 0).

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Answer:

12

Step-by-step explanation:

You need to use the pythagorean theorem. a^2 +b^2=c^2. Label the sides with a, b, and c. The longest side is c, but it does not matter for the other two sides.

Answer:

y = 12

Step-by-step explanation:

\(c^{2}\) = \(a^{2}\) - \(b^{2}\)

\(c^{2}\) = \(35^{2}\) - \(37^{2}\)

\(35^{2}\) = 1,225

\(37^{2}\) = 1,369

1,369 - 1,225 = 144

\(\sqrt{144}\) = \(c^{2}\)

\(\sqrt{144}\) = 12

If f(x) = 2x + 3 then Δy/Δx = 2 and g(x) = 2² +3 then Δy/Δx = 2.33.

The correct answer is option A.

f(x) has a rate of change of 2

g(x) has a rate of change of 2.33

So g(x) is growing faster

Let f(x) = 2x + 3 and g(x) = 2² +3

Let, ∆y /∆x denotes the ratio of y change and x change when x change exists relatively large.

If f(x) = 2x + 3

Δy/Δx = [f(3) - f(0)]/3 - 0

f(3) \(= 2*3+3 = 9\)

f(0) \(= 2*0+3 = 3\)

[f(3) - f(0)]/3 - 0 = (9 - 3)/3

= 6/3 = 2

g(x) = 2² +3

Δy/Δx = [g(3) - g(0)]/3 - 0

\($= (2^3 +3)-(2^0 +3)/3\)

\((2^3 +3)-(2^0 +3) = 7\)

\((2^3 +3)-(2^0 +3)/3\) = 7/3 = 2.33

Therefore, the correct answer is option A.

f(x) has a rate of change of 2

g(x) has a rate of change of 2.33

So g(x) is growing faster

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The constant C=±eB varies over all possible values of ±ke, where k is any real number, as B varies over all real numbers.

The statement "the constant C=±eB can be any real value as B varies over all real numbers" is not entirely accurate.

The constant C is given by C=±eB, where e is the mathematical constant approximately equal to 2.71828, and B is a fixed real number. When B varies over all real numbers, the constant C will also vary over all real numbers. However, the value of C cannot be any real value; it is restricted by the value of e.

Since e is a fixed constant, the possible values of C are limited to those that can be obtained by multiplying e by a real number and then taking the positive or negative value of the result. Therefore, the possible values of C are of the form ±ke, where k is any real number.

In summary, the constant C=±eB varies over all possible values of ±ke, where k is any real number, as B varies over all real numbers.

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Answer:

first blank: xxxxxx

second blank: \(x^{6}\)

Step-by-step explanation:

When raising an exponent to a power, multiply the exponent and power.

You would multiply 3 x 2 = 6, which is \(x^{6}\)  (second blank)

To write this without exponents, it would be 6 x's:

xxxxxx (first blank)

Coterminal angles are angles that have a common terminal side. An easy way to find terminal angles is by drawings. Draw the original angle and find its coterminals. This way:

2 coterminal angles could be 412° and -308°.

The ordered pair given in the first row of the table can be written as (8, f(8)).

f(3) is equal to 7.

f(x) = -5 when x is -6 or -2.

The table represents a function where the input values (x) correspond to the output values (f(x)). Let's analyze the given information to complete the statements:

The ordered pair given in the first row of the table can be written using function notation as (x, f(x)) = (8, f(8)). This means that when x is equal to 8, the corresponding function value is f(8).

To find f(3), we look for the row in the table where x is equal to 3. From the given table, we can see that when x is 3, the corresponding function value f(x) is 7. Therefore, f(3) is equal to 7.

Similarly, to find when f(x) is equal to -5, we look for the rows in the table where the function value is -5. From the table, we can see that when x is equal to -6 and -2, the function value f(x) is -5. Therefore, we can say that f(x) = -5 when x is -6 or -2.

In summary:

The ordered pair given in the first row of the table can be written as (8, f(8)).

f(3) is equal to 7.

f(x) = -5 when x is -6 or -2.

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