what property of equality of congruence is this?

“If x/5=30, then x=150”

A. Addition property
B. Subtraction property
C. Multiplication property
D. Division property
C. Partition property
D. Reflexive property
E. Transitive property
F. Substitution property

Answer:

BD= 24

3/5 of 40= 40÷5×3

I'm not too sure about the last question...sorry

The antiderivative of f(x)=x^4 7sqrt(x) is with f(1) = -1 is f(x) = \(2x^{(\frac{7}{2})} - 2 - 2^{(\frac{1}{2})}\).

To find the antiderivative of the given function, we need to integrate it with respect to x. Let's begin by separating the terms:

f(x) = x⁴ * 7sqrt(x)

= 7x⁴ * sqrt(x)

Using the power rule of integration, we can integrate each term:

∫7x⁴ * sqrt(x) dx

= 7 ∫\(x^{(4+\frac{1}{2})}\) dx

= 7 * \(\frac{2}{7} x^{(\frac{7}{2})}\) + C

=\(2x^{(\frac{7}{2} )}\) + C

Here, C is the constant of integration. To determine its value, we use the given initial condition:

f(1) = \(2(1)^{\frac{7}{2} }\) + C = -1

Simplifying, we get:

C = -2 - \(2^{(\frac{1}{2} )}\)

Therefore, the antiderivative of f(x) with f(1) = -1 is:

f(x) = \(2x^{(\frac{7}{2})} - 2 - 2^{(\frac{1}{2})}\)

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Answer:

14

Step-by-step explanation:

1/2x = 1/7x + 5

1/2x - 1/7x = 5

7/14x - 2/14x = 5

5/14x = 5

x = 5 * 14/5

x = 14

y = 6x - 24

if x= 12, to find y, simply substitute x = 12 in the above and then simplify

y = 6(12) - 24

y = 72 - 24

y = 48

Answer:

I'm sure the answer is 34 8/10

Answer:

2 3/4 miles more

Step-by-step explanation:

5 - 2 1/4 = 2 3/4

Do you have a graph for your question?

it would be beneficial to analyze other variables such as gender and opinion on the topic for a more comprehensive understanding of the local political opinion.

If the standard deviation of the ages is zero, then all individuals in the sample must have the same age of 25 years old. This means that the sample is not diverse and may not be representative of the entire neighborhood's opinion on the political topic. Therefore, conclusions drawn from this sample may not accurately reflect the opinions of the entire population. It is important to ensure that the sample is diverse and representative to make valid conclusions about a sensitive political topic.
Based on the data you collected, which includes age, gender, and opinion on the local sensitive political topic, you calculated the average age to be 25 years old and the standard deviation of the ages to be zero years old. This means that all individuals in your neighborhood are exactly 25 years old. Since there is no variation in age, it would be beneficial to analyze other variables such as gender and opinion on the topic for a more comprehensive understanding of the local political opinion.

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Answer:

Physical means the actual wires.  Physical is concerned with how the wires are connected. Logical is concerned with how they transmit.

a. Logical

Step-by-step explanation:

...

The arrangement of network cabling between devices is a physical topology. which is the correct answer would be option (C).

The physical configuration of a network, such as the physical arrangement of wires, media (computers), or cables, is referred to as its topology. A link can connect two or more devices, and when the number of connections reaches two, they constitute a physical topology.

A physical network diagram depicts the connecting of devices via cables or wireless links. A logical network diagram, on the other hand, depicts data and signal transfer throughout a network.

Therefore, the arrangement of network cabling between devices is a physical topology.

Hence, the correct answer would be an option (C).

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If you have applied for two jobs a and b and the probability that you get an offer for the job a is 0.25 and the probability of being offered job b is 0.20, then the probability that you will be offered both jobs is 0.05.

Probability is a term used in mathematics that is concerned with the numerical illustration of the possibility of an event to take place. Its value is between 0 and 1 where 0 illustrates the impossibility of the event to take place while 1 illustrates the certainty of an event to take place.

As the probability of both the jobs are not dependent on each other, the probability that both jobs will be offered can be calculated by the formula;

P(A∩B) = P(A) × P(B)

Here, P(A∩B) represents the probability of both the events to take place together

As P(A) is equal to 0.25

P(B) is equal to 0.20

P(A∩B) = (0.25)(0.20)

P(A∩B) = 0.05

Therefore, 0.05 is the probability that both jobs will be offered.

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Answer: x = 17.5

Step-by-step explanation:

The 4th proportional of the given ratio is 4/3. option C

The range of the data 112, 121, 184, 189, 177, 190 is 78. option A

It follows from the concept of proportions that the ratios can be represented as follows;

21 : 7 = 4 : 3a + 1

21/7 = 4 / (3a + 1)

cross product

21 × (3a + 1) = 4 × 7

63a + 21 = 28

subtract 21 from both sides

63a = 28 - 21

63a = 7

a = 7/63

a = 1/9

So,

3a + 1

= 3(1/9) + 1

= 3/9 + 1

= 1/3 + 1

= 1 ⅓

= 4/3

21 : 7 = 4 : 4/3

Range of the data:

112, 121, 184, 189, 177, 190

Recall, the range of a dataset is the difference between the maximum and minimum data values and hence, we have;

Range = Highest data value - Lowest data value

= 190 - 112

= 78

Therefore, the range of the given set of data is 78.

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The value of b, given the graph, the vertical and horizontal asymptote, would be - 8 .

At the y-intercept, x = 0. We can plug this into the equation and solve for y:

-4 = (a(0) + b) / (0 + c)

-4 = b / c

The vertical asymptote occurs when the denominator is equal to 0:

x + c = 0

x = -2

Thus, c = 2.

The horizontal asymptote occurs when the limit of the function as x approaches infinity is equal to a constant value:

y = a/c

3 = a/2

a = 3 * 2

= 6

The value of b would therefore be:

-4 = b / 2

b = -8

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Answer:

(3,-2)

Step-by-step explanation:

10+4=14; 14/2=7

-4+7=3

x=3

6+10=16; 16/2=8

6-8=-2

y=-2

Answer:

(3,-8)

Step-by-step explanation:

m=x1+x2/2,y1+y2/2

m--4+10/2,-10-6/2

m=6/2,-16/2

m=3,-8

Part A: In this situation, a Type II error would take place if the council failed to reject the null hypothesis even if it was untrue (i.e., less than 40% of children under the age of 5 could pass a swim test).

If the researcher does not reject a null hypothesis that is actually wrong in the population, this is known as a type II error (false-negative). Notwithstanding the fact that type I and type II mistakes cannot be completely prevented, the researcher can lessen their risk by increasing the sample size.

from the question:

Part A: In this situation, a Type II error would take place if the council failed to reject the null hypothesis even if it was untrue (i.e., less than 40% of children under the age of 5 could pass a swim test). This would result in a lost chance to provide these kids with more swim safety training, perhaps placing them in danger of drowning or other swimming-related mishaps.

Part B: We are unable to reject the null hypothesis since the p-value (0.8438) exceeds the significance level (0.05). This indicates that there is insufficient information to draw the conclusion that less than 40% of children under the age of five can pass a swim test. But, since the test only looked at the alternative hypothesis that the fraction is less than 40%, we cannot draw the conclusion that it is exactly 40%.

Part C: One possible defect in the study is the use of a volunteer sample. The children who volunteered to take the swimming test may not be representative of the entire population of children under 5 in Bloomburg City. For example, parents who are more concerned about their children's swimming abilities may be more likely to volunteer their children for the test, leading to a biased sample. To obtain a more representative sample, a random sample of children under 5 could be selected from the population and asked to take the swimming test.

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Answer:

\( log_{2}(9x) - log_{2}(3) = 3 \\ 3 = log_{2}(8) or log_{2}( {2}^{3} ) \\ log_{2}( \frac{9x}{3} ) = log_{2}(8) \\ \frac{9x}{3} = 8 \\ 9x = 8 \times 3 \\ 9x = 24 \\ x = \frac{24}{9} \\ x = \frac{8}{3} \\ x = 2 \times \frac{2}{3} \)

Answer:

\(\log _2\left(9x\right)-\log _2\left(3\right)=3 : x = \frac{8}{3}\)

Decimal:

\(x = 2.66666...\)

Step-by-step explanation:

\(\log _2\left(9x\right)-\log _2\left(3\right)=3\)

Add \(log _2\left(3)\) to both sides:

\(\log _2\left(9x\right)-\log _2\left(3\right)+\log _2\left(3\right)=3+\log _2\left(3\right)\)

Simplify:

\(\log _2\left(9x\right)=3+\log _2\left(3\right)\)

Use the logarithmic definition: If \(\log _a\left(b\right)=c\:\mathrm{then}\:b=a^c\)

\(\log _2\left(9x\right)=3+\log _2\left(3\right)\quad \Rightarrow \quad \:9x=2^{3+\log _2\left(3\right)}\)

\(9x=2^{3+\log _2\left(3\right)}\)

Expand \(2^{3+\log _2\left(3\right)} : 24\)

\(9x=24\)

Solve: \(9x=24 : x = \frac{8}{3}\)

\(x = \frac{8}{3}\)

Verify solutions: \(x = \frac{8}{3}\)  : True

The solution is:

\(x=\frac{8}{3}\)

Hope I helped. If so, may I get brainliest and a thanks?

Thank you, have a good day! =)

Answer:

I think its degrees an hour and im almost posotive :D

Step-by-step explanation:

Answer:

look at the screenshot

Step-by-step explanation:

Answer:

I think, the domain would be the x values and range would be the y values.

Domain - [-3 , 2]

Range - [-5 , 5]

I hope you get this right.

Let's calculate the products and check if they indeed have the same value:

Product of 32 and 46:

32 * 46 = 1,472

Reverse the digits of 23 and 64:

23 * 64 = 1,472

As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.

To find two other pairs of two-digit numbers that have this property, we can explore a few examples:

Product of 13 and 62:

13 * 62 = 806

Reversed digits: 31 * 26 = 806

Product of 17 and 83:

17 * 83 = 1,411

Reversed digits: 71 * 38 = 1,411

As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.

For example, let's consider the pair 25 and 79:

A = 2, B = 5, C = 7, D = 9

The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.

Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.

A cyclist rode at an average speed of 15 mph for 30 miles.

It will take 2 hours to cover 30 miles so option (C) is correct.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given that,

A cyclist rode at an average speed of 15 mph for 30 miles.

So,

15 miles ⇒ hour

Multiply by 2

2 hours ⇒ 30 miles.

Hence "It will take 2 hours to cover 30 miles".

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Your total vacation budget would be $280, considering the $160 spent on groceries and the estimated cost of eating out 3 times at $40 per meal from linear equation concept.

For your vacation at the beach, you have already spent $160 on groceries for the week. In addition, you anticipate spending $40 each time you eat out.

To determine your overall budget for the vacation, you need to consider how many times you plan to eat out during the week. Let's say you plan to eat out 'x' number of times.

Since each time you eat out costs $40, the total amount spent on eating out can be represented by the equation:

Total spent on eating out = $40 * x

Adding this to the amount spent on groceries, the total vacation budget can be calculated as:

Total budget = Amount spent on groceries + Total spent on eating out

Total budget = $160 + ($40 * x)

For example, if you plan to eat out 3 times during the week, the calculation would be:

Total budget = $160 + ($40 * 3)

Total budget = $160 + $120

Total budget = $280

In this case, your total vacation budget would be $280, considering the $160 spent on groceries and the estimated cost of eating out 3 times at $40 per meal.

The total budget will vary depending on the number of times you plan to eat out. By adjusting the value of 'x', you can calculate the specific total budget for your vacation.

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Answer:

(12,1)

Step-by-step explanation:

(10+14)/2 and (8+-6)/2

= (12,1)

Since 2k2 + 5k + 4 is an integer, it follows that n2 + 3n + 5 is odd.

Direct proof of the statement (in order):

Let T be even. By the definition of even, there exists an integer k such that T = 2k.

Let n be odd. By the definition of odd, there exists an integer k such that n = 2k + 1.

It follows thatn

2 + 3n + 5 = (2k + 1)2 + 3(2k + 1) + 5

= 4k2 + 10k + 9

= 2(2k2 + 5k + 4) + 1.

Since 2k2 + 5k + 4 is an integer, it follows that n2 + 3n + 5 is odd.

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Answer:

48

Step-by-step explanation:

18% of 1500 is 270

270x18% is 48.6 since it increased by 18%

Answer: To evaluate 7a^4b^2 for a=-2 and b=-0.25, we can substitute these values into the expression and simplify:

7a^4b^2 = 7(-2)^4(-0.25)^2

First, we can simplify the powers of -2 and -0.25:

(-2)^4 = 16

(-0.25)^2 = 0.0625

Substituting these values into the expression, we get:

7a^4b^2 = 7(16)(0.0625)

Simplifying the multiplication, we get:

7a^4b^2 = 7(1)

Finally, we can simplify the expression to get the final answer:

7a^4b^2 = 7

Therefore, when a=-2 and b=-0.25, 7a^4b^2 is equal to 7.

Step-by-step explanation:

In linear equation, a = (n+p)/m is equation for the indicated variable.

What in mathematics is a linear equation?

In terms of algebra, writing "am" is the same as writing "a*m" or "a times m"

To undo the multiplication, we use division. We will divide both sides by m to get 'a' all by itself on the left side

So...

am = n+p

a*m = n+p

(a*m)/m = (n+p)/m .... divide both sides by m

a = (n+p)/m ... notice how the 'm's cancel out when we divide on the left side

a = (n+p)/m

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Answer:

$1

Step-by-step explanation:

10×.10= 1.00 or 1

hope it helps :)

Given the function f(x) = √x, we are to find the average rate of change for the given function between x = 16 and x = 25. To find the average rate of change for the given function between x = 16 and x = 25, we use the formula for average rate of change:Average rate of change = [f(x₂) - f(x₁)] / (x₂ - x₁)where x₁ = 16 and x₂ = 25Also, f(x₁) = f(16) = √16 = 4 and f(x₂) = f(25) = √25 = 5Substituting the values into the formula for average rate of change, we have:Average rate of change = [f(x₂) - f(x₁)] / (x₂ - x₁)= [f(25) - f(16)] / (25 - 16)= [5 - 4] / 9= 1/9Therefore, the average rate of change for the function f(x) = √x between x = 16 and x = 25 is 1/9.

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The given situation is about two companies A and B. Company A charges $50 consultation fees and $7 per square foot of tile, including installation. Company B charges $5 per square foot of tile and $125 for the installation.

The Hubert family needs to know how much less Company B will charge than Company A for 150 square feet of tile.The total amount that Company A charges for installing 150 square feet of tile is given by:

Cost of tile installation by Company A = $7 per square foot × 150 square feet= $1050

The total amount that Company B charges for installing 150 square feet of tile is given by:

y = 5x + 125;

where x = 150y = 5(150) + 125y = 875

The amount charged by Company A for installing 150 square feet of tile is $1050.

The amount charged by Company B for installing the same area is $875. Therefore, the amount less charged by Company B than Company A is $175.

Solution:Therefore, Company B will charge $175 less than Company A.

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