if both expressions have the same value after substituting two different values and simplifying, then they are . When p = 2, the first expression is and the second expression is 16. When p = 8, the first expression is 40 and the second expression is . The expressions are .

1. Finite: A set is considered finite if it contains a specific number of elements. In other words, a set is finite if you can count its elements and reach a finite number. For example, a set containing {1, 2, 3} is finite because it has three elements.

2. Infinite: A set is considered infinite if it has an uncountable number of elements. This means that the set cannot be put into a one-to-one correspondence with the natural numbers (1, 2, 3, ...). For example, the set of all integers {..., -3, -2, -1, 0, 1, 2, 3, ...} is infinite.

3. Denumerable: A set is denumerable (also called countable) if its elements can be put into a one-to-one correspondence with the natural numbers (1, 2, 3, ...). In other words, a denumerable set has a countable number of elements. For example, the set of all natural numbers is denumerable.

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Answer:

8

Step-by-step explanation:

First add all the terms together.

[tex]8+7+5+9+6+13=48[/tex], so the total is 48.

Then you divide the total by the number of terms (which is 6) to get the mean.

[tex]\frac{48}{6}=8[/tex], so the mean is 8.

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{2}[/tex] x + 4 ← is in slope- intercept form

Thus

y = [tex]\frac{1}{2}[/tex] x + 4 is the equation of a straight line

with slope m = [tex]\frac{1}{2}[/tex] and y- intercept c = 4

Answer:

Step-by-step explanation:

2x+4y=48

5x+2y=64

Adult ticket: $10    Child ticket: $7

For 2 adults and 3 children with the given price per ticket, the family having brought $40 as a budget, their budget would not be high enough as the total would come to be $41. They'd be a dollar short.

Answer:

$7,196.42

Step-by-step explanation:

Using the compound interest formula to fins the amount after 10years;

A  = P(1+r)^n

Principal P = $400,000

Rate r = 8% = 0.08

Time t = 10 years

Substitute

A = 400,000(1+0.08)^10

A = 400,000(1.08)^10

A = 400,000(2.1589)

A = 863,569.99

A ≈ 863,570

Hence the amount after 10 years is $863,570

Monthly deposit = $863,570/120 (10 years is equivalent to 120months)

Monthly deposit = 7,196.42

Therefore he will have to deposit $7,196.42 into his account monthly

Answer:

x is 120.104121495

Step-by-step explanation:

because you can square out the equation and get x

Answer:

The first one should be right but if you’re from K12 then it’ll be 12/5, and just that again except had a negative.

Step-by-step explanation:

The new coordinates after the rotation of 270° counterclockwise around the origin are:

J'(8, -10)

K'(3, -10)

L'(9, -5)

There are different types of transformation of geometry such as:

Translation

Reflection

Rotation

Dilation

The original coordinates before transformation are:

J(10, 8)

K(10, 3)

L(5, 9)

Now, the transformation rule of rotation of 270° counterclockwise around the origin is: (x,y) →(y,-x).

Thus, the new coordinates are:

J'(8, -10)

K'(3, -10)

L'(9, -5)

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Answer:

B

Step-by-step explanation:

Formula

SA = 2*L*W + 2*L*H + 2*H*W

Givens

L = 14

W = 7

H = 7

Solution

SA = 2*14*7 + 2*14*7 + 2*7*7

SA = 196 + 196 + 98

SA = 490

Answer:

ok

Step-by-step explanation:

Answer:

the answer should be 25, 32 , 40

Step-by-step explanation:

it does not follow the Pythagoras theorem

good day mate

Answer:

34% in favor of the new dress code

Step-by-step explanation:

Because it has a higher percentage and when there is only 16% of students that doesn't really prove the claim or statement. But, when there is more participating or voting that claim or statement is supported.

If we consider a system where block A has a length of 0.75 times block B's length, block B has a length of 10, and block C has a length of 0.5 times block A's length, we can determine which block is harder to tip over.

To analyze the stability of the system, we can compare the center of mass of each block relative to its base of support. The block with a higher center of mass is more likely to tip over.

For block A, its center of mass is located at a distance of 0.375 times its length from its base.

For block B, its center of mass is located at a distance of 5 units from its base.

For block C, its center of mass is located at a distance of 0.375 times block A's length from its base.

Comparing the distances, we see that block B has the highest center of mass at 5 units, making it easier to tip over compared to blocks A and C. Thus, in this system, block B is harder to keep stable and more prone to tipping over.

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Answer:

7:3

Step-by-step explanation:

Convert one of the measurements to the other before attempting to solve the question.

1 yard = 3 feet

Multiply both sides by 3 to get:

3 yards = 9 feet

Therefore the ratio would be

21:9

Simplify to 7:3 length to height.

Answer:

Nwm miałem to dawno powodzenia

Answer:  x=6

The two angles shown in each are complementary because they add up to 90°.

10 & 12 would be supplementary to one another because they would add up to 180°.

Step-by-step explanation:

We know that on both 10 & 12 the angles add up to equal 90° so...

10.  8x+7x=90

15x=90

x=6

12.  it's the same in pic as 10

The two angles shown in each are complementary because they add up to 90°.

10 & 12 would be supplementary to one another because they would add up to 180°.

Hello again!

Answer:

The correct answer is B. 18 months.

Step-by-step explanation:

I just typed in "credit card payoff calculator" in g00gle, and it should be the first one you see.

That was the website I used to solve this problem. You can use that for other problems you need to solve too.

Hope this helps :)

Answer: [tex]\dfrac{1}{220}[/tex]

Step-by-step explanation:

Given

There are 3 marbles of red, blue, green and orange

Total marbles are 12

No of ways of choosing 3 green marbles out of 3 green marbles is [tex]^3C_3[/tex]

Total no of ways of selecting 3 marbles out of 12 are [tex]^{12}C_3[/tex]

So, the probability is

[tex]\Rightarrow P=\dfrac{^3C_3}{^{12}C_3}=\dfrac{1\times 3\times 2\times 1}{12\times 11\times 10}\\\\\Rightarrow P=\dfrac{1}{220}[/tex]

Answer: cos ( 390 ) − 4 cot ( − 45 ) sin (330 )

Step-by-step explanation: MAKE ME BRANLIEST!!!!!!

The domain of the area function is 0 < x ≤ 300, and the range is A > 0. The total area enclosed by a rectangular fence, given a fixed amount of fencing, can be expressed as a function of the length of one side.

The domain and range of this area function depend on the constraints imposed by the amount of fencing available.

a) To express the total area enclosed as a function of the length x, we need to consider that the perimeter of a rectangle is twice the sum of its length and width. Since the farmer has 600m of fencing, we can write the equation:

2x + 2y = 600

Solving for y, we can express it in terms of x:

y = (600 - 2x) / 2

The area of the rectangle is given by the product of its length and width:

A = x * y = x * (600 - 2x) / 2

b) The domain of the area function is determined by the values of x that satisfy the constraints of the problem. Since x represents the length of one side of the rectangle, it must be positive (x > 0). Additionally, the sum of the lengths of all four sides must be less than or equal to the available fencing, which gives us the constraint: 2x + 2y ≤ 600.

The range of the area function represents the possible areas of the enclosed rectangle. Since both x and y are positive, the range is also positive.

Therefore, the domain of the area function is 0 < x ≤ 300, and the range is A > 0.

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Answer:

(7,10)

Step-by-step explanation:

x=4+3

y=5+5

Answer:

22.5 pounds

Step-by-step explanation:

The computation of the weight of the block of gel is shown below:

As we know that

Volume = (length) (width) (height)

= (20) (6 ) (6)

= 720 cubic inches

Now we have to convert into cubic foot

As we know that

1 ft = 12 inches

So 1ft^3 = 12 inches^3

= 1728 inches ^3

Now

= 720 × 1 cubic foot ÷ 1728 cubic inches

= 5 ÷ 12

Now the weight is

= 54 × 5 ÷ 12

= 22.5 pounds

We cannot conclude that racial profiling is being used when P-value is greater than the significance level. Therefore, the correct option is A. No, because the P-value is greater than the significance level.

Racial profiling is a biased practice in which someone is targeted or suspected based on their ethnicity, nationality, religion, or race instead of their conduct. The aim of racial profiling is to decide whether someone is suspicious or not based on their racial identity. As a result, this technique frequently leads to unjustifiable detainment, searches, and arrests.

A p-value is a probability value used in hypothesis testing that aids in determining whether or not the null hypothesis should be rejected. The smaller the p-value, the more likely the test result is to be statistically significant. In other words, it is less probable that the null hypothesis is true.

Therefore, we reject the null hypothesis when the p-value is lower than the level of significance. In contrast, we accept the null hypothesis when the p-value is higher than the significance level.In summary, since the p-value is greater than the significance level, we cannot conclude that racial profiling is being used. Therefore, the correct option is A. No, because the P-value is greater than the significance level.

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According to the conversation we can infer that the information focused on the conversation of two people; one of them is studing for an exam.

To identify what is the conversation about we have to consider who is talking and what are the ideas that they share. In this case, we can infer that the main idea of this conversation is that one of them is studying for an exam this week.

Also, the second person is apologizing because he considered that he is distracting the other person. So, the correc information about de conversation is a short conversation about study.

Note: This question is incomplete. Here is the complete information:

Conversation:
Hello

Hello, How are you?

I am fine, and you?

i am fine too, What are you doing?

I am studing for an exam this week.

Oh, sorry I won´t distract you.

Don´t worry.

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Answer: The initial value for Z= 8 * 3w is 8 and the growth factor for it is 3. The initial value for A= 6(2.5)t is 6 and the growth factor for it is 2.5.

Step-by-step explanation: Exponential growth equations.

Answer:

B. Addition Property of Equality

Step-by-step explanation:

B addition property of equality

Answer:

The answer is 5 years

Step-by-step explanation:

50+(3x5)=65

75-(2x5)=65

Answer:

1) a , b , c , e are ans....

2) a.F b.T c.F d.T

The distance between your ship and the port is approximately 8 units. To arrive at the port, you need to take a bearing of 135 degrees. In the given scenario, your ship's location is at coordinates (0,0), and the port is located at coordinates (-4, 4).

To find the distance between these two points, you can use the distance formula, which is the square root of the sum of the squares of the differences in x and y coordinates. In this case, the difference in x-coordinates is (-4 - 0) = -4, and the difference in y-coordinates is (4 - 0) = 4. Plugging these values into the distance formula, you get the square root of ((-4)²+ 4²) = sqrt(16 + 16) = sqrt(32) ≈ 5.66. Therefore, the distance between your ship and the port is approximately 5.66 units or rounded to 8 units.

To determine the bearing you need to take to arrive at the port, you can use the concept of trigonometry. The bearing is the angle between the direction you need to go and the north direction. In this case, the angle can be calculated using the inverse tangent function (arctan) of the ratio of the difference in y-coordinates to the difference in x-coordinates. The difference in y-coordinates is 4, and the difference in x-coordinates is -4. Taking the arctan(4 / -4), you get an angle of -45 degrees. Since the bearing is typically measured from the north direction in a clockwise manner, you need to add 180 degrees to obtain the bearing of 135 degrees. Therefore, you need to take a bearing of 135 degrees to arrive at the port.

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The indefinite integral of x^4 * ln(1 + x) with respect to x can be expressed as a power series: f(x) = C + ∑(n=1 to ∞) [a_n * x^n]

To find the coefficients a_n, we can differentiate both sides of the power series representation. Using the power rule and the fact that the derivative of ln(1 + x) is 1 / (1 + x), we obtain:

f'(x) = ∑(n=1 to ∞) [n * a_n * x^(n-1)] = ∑(n=0 to ∞) [(n+1) * a_(n+1) * x^n]

Next, we equate the coefficients of the power series representations of f(x) and f'(x):

x^4 * ln(1 + x) = ∑(n=0 to ∞) [(n+1) * a_(n+1) * x^n]

Comparing the coefficients of corresponding powers of x, we can find a_n. By equating the coefficients of x^4 on both sides, we find a_5 = 1 / 5.

To determine the radius of convergence R, we use the ratio test. The ratio test states that if the limit of |a_(n+1) / a_n| as n approaches infinity is L, then the radius of convergence is R = 1 / L.

In this case, as n approaches infinity, the limit of |a_(n+1) / a_n| is 1. Therefore, the radius of convergence R is 1 / 1, which simplifies to R = 1.

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