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When the non-refundable fee increases to $15, the y-intercept is also increased to 15. The graph are parallel to each other but only touches the y-axis at 10 and 15 respectively

Linear equations are equations of the first order. The linear equations are defined for lines in the coordinate system. When the equation has a homogeneous variable of degree 1 (i.e. only one variable), then it is known as a linear equation in one variable. A linear equation can have more than one variable.

Linear equations are generally represented in the form

y = mx + c

The y-intercept is the point at which the graph touches the y - axis

In the question, we are given an equation f(h) = 8h + 10

The slope and y - intercept here are 8 and 10 respectively.

However, when the non-refundable deposit is increased to 15, the y - intercept is increase by 5 units to becomes 15.

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Answer:

Step-by-step explanation:

Find the diagram attached

The sum of the two adjacent angles is 180 degrees. Hence;

8x-9 + 53 = 180

8x + 44 = 180

Subtract 44 from both sides of the equation

8x + 44 - 44 = 180 - 44

8x = 136

Divide both sides by 8

8x/8 = 136/8

x = 17

Hence the value of x is 17

Answer:

14 is +1

15 is -9

Step-by-step explanation:

To check whether the true average is 59k or not, A sample mean T-Test needs to be conducted. The true value of 59k is 44k after the test.

In the field of statistics, average means that the ratio of the sum of the numbers of a given set, to the total number of characters in a given set. It is also called as the Arithmetic mean.

It is given that the student center has published the data that the average salary of the college graduates is 59k. Accordingly, the sample of 49 college students were verified and the sample average salary came out to be 44k.

When we analyze the  given question, we find that,

The total number of students were 49,The true average was found to be 59k,and the Sample average is found to be 44k.

Thus, in  the present question we will use the One- sample T-test.

We used this test, as the statistical hypothesis test is used to find if the unrecognized population mean is different from the specific value.

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No, if A and B are disjoint, they cannot be independent.

Yes, A and B can be independent and disjoint.

Yes, A and B can be independent even if A is a subset of B.

No, if A and B are independent, A and A ⊂ B (A is a proper subset of B) cannot be independent.

Let's address each question separately:

1. If A and B are disjoint (mutually exclusive), meaning they cannot occur simultaneously, can they be independent?

No, if A and B are disjoint, they cannot be independent. The definition of independence states that the probability of the intersection of two independent events is equal to the product of their individual probabilities. Since A and B are disjoint, their intersection is empty, and the probability of an empty set is zero. Therefore, the condition for independence does not hold.

2. If A and B are independent, can they be disjoint?

Yes, A and B can be independent and disjoint. Disjoint events mean they have no common outcomes, while independent events mean that the occurrence of one event does not affect the probability of the other. Therefore, if A and B are independent, it is possible for them to be disjoint.

3. If A ⊂ B (A is a subset of B), can A and B be independent?

Yes, A and B can be independent even if A is a subset of B. The independence of events is determined by the conditional probabilities. In this case, if A ⊂ B, then the occurrence of A provides information about B. However, if the conditional probability of B given A is equal to the probability of B (P(B|A) = P(B)), then A and B can still be considered independent.

4. If A and B are independent, can A and A ⊂ B be independent?

No, if A and B are independent, A and A ⊂ B (A is a proper subset of B) cannot be independent. When A is a proper subset of B, the occurrence of A provides information about B. As a result, the probability of B given A, denoted as P(B|A), is affected by the knowledge that A has occurred. Therefore, A and A ⊂ B are not independent in this scenario.

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Answer: Below

Step-by-step explanation:

Just mutiply x on both sides which gives you 2x^2 + 12x then you mutiply 2x^2 then subtract that number on both sides and it gives you x = something then you distribute it on 8(something) - 18 you subtract

Answer:

Step-by-step explanation:

Just mutiply x on both sides which gives you 2x^2 + 12x then you mutiply 2x^2 then subtract that number on both sides and it gives you x = something then you distribute it on 8(something) - 18 you subtract

Solve for x and graph the solution on the number line below.

\($$-x-5 \geq 1 \text { or }-x-5 < -8$$\)

\($$-x-5 \geq 1$$\)

Add 5 to both sides

\($$-x-5+5 \geq 1+5$$\)

Simplify

\($$-x \geq 6$$\)

Multiply both sides by - 1 (reverse the inequality)\($(-x)(-1) \leq 6(-1)$\)

Simplify

\($$x \leq-6$$\)

\($-x-5 < -8$\)

Add 5 to both sides

\($-x-5+5 < -8+5$\)

Simplify

\($-x < -3$\)

Multiply both sides by \($-1$\) (reversing the inequality)

\($(-x)(-1) > (-3)(-1)$\)

Simplify

\($x > 3$\)

The idea of inequality, which is the state of not being equal, especially in terms of status, rights, and opportunities, is at the core of social justice theories. However, because it frequently has diverse meanings to different individuals, it is prone to misunderstanding in public discourse. However, certain distinctions are universal.

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign (≠)" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

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Answer:

114

Step-by-step explanation:

Answer:

-5 degrees

Step-by-step explanation:

you started at 75 degrees. it dropped at a rate of 10 degrees per hour. It's been eight hours. 8 times 10 equals 80. It dropped a total of 80 degrees. the starting 75 degrees minus the current 80 degrees equals -5 degrees.

The total miles of the trip are 521.68 miles.

Addition in maths, a process of combining two or more numbers.

Given that, Rosie drives 317.88 miles before lunch and then  \(203\frac{4}{5}\) miles before break,

Total miles = 317.88 +  \(203\frac{4}{5}\) miles = 521.68 miles

Hence, The total miles of the trip are 521.68 miles.

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Answer:

the correct answer is yes

Answer:

D

Step-by-step explanation:

We would like to solve:

(3/4h + 4) - (1/2h + 1)

This is equivalent to:

3/4h + 4 - 1/2h - 1

First, combine like terms; that is, combine the terms with h in them and combine the terms without h in them:

3/4h - 1/2h + 4 - 1

The common denominator for 3/4 and 1/2 is 4, so:

3/4h - 1/2h = 3/4h - 2/4h = 1/4h

Put this back in:

1/4h + 4 - 1

1/4h + 3

The answer is thus D.

~ an aesthetics love

Area of a square:

We have s = 6⁴, then the area is:

Or, apply the power of the power rule (xᵃ)ᵇ=xᵃᵇ to get:

The quadratic example is ax² + b x + c = 0 where x stands for an unknown value and where a, b, and c stand for known numbers is known as a quadratic equation in algebra.

Quadratic equations are second-degree polynomial equations with at least one squared term. It is also referred to as quadratic equations.

The numerical coefficients a, b, and c are known, while the unknown variable x is. For example , x2 + 2x + 1. It also goes by the name quadratic equation as in: b x +c=0    

The terms a, b, and c are also referred to as quadratic coefficients.    

'Examples of Quadratics

x² –x – 9 = 0

5x² – 2x – 6 = 0
3x² + 4x + 8 = 0

-x² +6x + 12 = 0  (an example of non-quadratic equation is x³ − x² − 5 = 0)

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Answer:

Step-by-step explanation:

4+2S=12+S

in the left side there is one triangle so its value is 4 and two square so its value is 2S because you don't know the value of the square.

In the right side, there is 3 Triangles and one square so its value is 12 (3*4)+S

So,           S=8

how?

12+4=16

S=16/2=8

For the statement "....A 4-column table with 3 rows. The first column has no label with entries internet, cable television, or total. The second column is labeled satisfied with entries ..." statement about the two-way frequency table that is true is  About one-fourth of the cable-television customers are not satisfied. Option D.

This is further explained below.

Generally,  A two-way table may be used to show the frequency of occurrence of two categories. A row represents a single category, whereas a column represents a different category.

In conclusion, There are 3,141 customers in total, of which 2,032 are internet customers and 1,109 are cable customers.

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Answer:

It's been a hot minute since I have done these, but if I'm correct the answer is 13%

Step-by-step explanation:

6/7 is .86 or an 86% chance. Followed by 1/6 which is .16 or a 16% chance. .86 multiplied by .16 is .13 giving the sequence a 13% chance.

The simplification of rational expressions can be achieved by using the Greatest Common Factor (GCF).

Take the common terms in the numerator and denominator and remove them from the expression to make it simpler.

The simplification of rational expressions can be achieved by using the Greatest Common Factor (GCF).Similar to fractions with variables in the denominators, rational expressions appear like them (and often numerators too).

For instance, the expression x 2 x + 3 is a rational expression: x squared, divided by x, plus 3, end fraction.

1)2m^2-4m)/2(m-2)

=[2m(m-2m)]/2(m-2)

= 2m/2

=m

2)m^2-2m+1/m-1

= (m-1)^2/(m-1)

=(m-1)(m-1)/(m-1)

=(m-1)

3)m^2-3m+2/m^2-m

=m^2-m-2m+2/m(m-1)

=m(m-1)-2(m-1)/m(m-1)

= (m-1)(m-2)/m(m-1)

=(m-2)/m

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Answer:

Options (B) and (C)

Step-by-step explanation:

The given expression is \((d^{\frac{1}{8}})^5\)

By simplifying this expression,

\((d^{\frac{1}{8}})^5\)

= \((\sqrt[8]{d})^{5}\)

Option (B)

Similarly,

\((d^{\frac{1}{8}})^5\)

= \(d^{\frac{5}{8}}\)

= \((d^{5})^{\frac{1}{8}}\)

Option (C)

Therefore, Options (B) and (C) will be the correct options.

Answer: 8 friends

Step-by-step explanation: 79.5-7.50 72

72/9 8

Answer:

I believe this is the answer you are looking for:

x3-6x2-7x

Step-by-step explanation:

Answer:

-28

Step-by-step explanation:

P(x) = -2x² + 130x - 2000 when x is the price of each game to make the game profitable, the price should be at least $ 25 and no more than $ 40.

Quadratic equations are polynomial equations of degree 2 in one variable of the form f(x) = ax2 + bx + c = 0, where a, b, c, R, and a 0 are all zeros. It is the generic form of a quadratic equation in which 'a' is referred to as the leading coefficient and 'c' is referred to as the absolute term of f. (x). The roots of the quadratic equation (,) are the values of x that fulfil the quadratic equation.

There will always be two roots to the quadratic equation. Roots might be real or fictitious in nature.

p(x) = -2x² + 130x - 2000

The game will be profitable if P (x) > 0.

-2x² + 130x - 2000 > 0

-x² + 65x - 1000 > 0

x² - 65x + 1000 > 0

x(x-25) - 40(x -25) > 0

x>25 x < 40.

Therefore, price should be at least $ 25 and no more than $ 40.

The values of variables that satisfy the given quadratic equation are referred to as its roots. In other words, if f() = 0, x = is a root of the quadratic equation f(x).

The x-coordinates of the sites where the curve y = f(x) intersects the x-axis are the real roots of an equation f(x) = 0.

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Answer:

21 ÷ 14 = 1.5

8 × 1.5 = 12

The other sides of the new triangle will be 12 cm.

Answer:

(-1,-1)

Step-by-step explanation:

Midpoint equation: \((\frac{x_2+x_1}{2}, \frac{y_2+y_1}{2})\)

= \((\frac{-5/2+1/2}{2},\frac{-1/2-3/2}{2} )\)

= \((\frac{-2}{2},\frac{-2}{2})\)

=(-1,-1)

Use the formula and plug it in :)

The smallest possible value of the total number of grapes eaten in the contest is the product of (n-1) and the number of grapes eaten by the child in last place, plus the number of grapes eaten by the winner.

We have,

A group of children held a grape-eating contest.

And, when the contest was over, the winner had eaten grapes, and the child in -th place had eaten grapes.

Hence, The smallest possible value of the total number of grapes eaten in the contest is,

(n - 1) (grapes eaten by the child in last place) + (grapes eaten by the winner).

So for example, if the winner had eaten 10 grapes and the child in last place had eaten 5 grapes, the total number of grapes eaten in the contest would be;

(n-1)5 + 10 = 45.

Hence, The smallest possible value of the total number of grapes eaten in the contest is the product of (n-1) and the number of grapes eaten by the child in last place, plus the number of grapes eaten by the winner.

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The graph meets the vertical line test requirement, it must represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.

According to the function, every value in the domain is associated to exactly one value in the range, and they have a predefined domain and range. It is characterized as a certain kind of relationship.

Please refer to the image instead of the graph, which is related to it.

The graphic displays a graph.

A parabola is seen on the graph.

The vertical line test determines if a graph can be a function, as is common knowledge.

The graph passes the vertical line test option, indicating that it does in fact represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.

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The direct answer to the equation of the tangent line to ƒ(x) at x = 0 is y = 71x + 4.

To find the equation of the tangent line, we need to determine the slope of the tangent line at x = 0, which is equal to the derivative of ƒ(x) evaluated at x = 0. Since ƒ(x) = 4 + 67, the derivative of ƒ(x) with respect to x is 0. Therefore, the slope of the tangent line is 0. The equation of a line with a slope of 0 passing through the point (0, ƒ(0)) = (0, 4) is y = 71x + 4.

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