Full time tuition at Duke University is $55960 per year. Round this number to the nearest hundred.

Answer:

4 : 3

Step-by-step explanation:

16 : 12 can be simplified by 4 to get 4 : 3

Answer:

\(4:3\)

Step-by-step explanation:

\(16 : 12\)

The common highest factor of the ratio is 4.

Simplify the ratio.

\(16 \div 4:12 \div 4\)

\(4:3\)

Answer: D: Square Root Of 5

Step-by-step explanation: 30/6 is 5, now fill in the sqrt symbol. Hope this helped. (This problem was one of the simpler, friendlier numbers.)

To determine when the total cost of each health club will be the same, we can set up an equation and solve for the number of months.

Let's assume the number of months is represented by 'x'.

For Club A, the total cost is given by:

Total cost of Club A = $13 (one-time fee) + $28x (monthly fee)

For Club B, the total cost is given by:

Total cost of Club B = $19 (one-time fee) + $27x (monthly fee)

To find the number of months when the total cost is the same, we set the two equations equal to each other:

$13 + $28x = $19 + $27x

Simplifying the equation, we get:

$28x - $27x = $19 - $13

$x = 6

Therefore, after 6 months, the total cost of each health club will be the same.

To find the total cost for each club after 6 months, we substitute the value of 'x' back into the equations:

Total cost of Club A after 6 months = $13 + $28(6) = $13 + $168 = $181

Total cost of Club B after 6 months = $19 + $27(6) = $19 + $162 = $181

So, the total cost for both Club A and Club B will be $181 after 6 months.

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Water bankruptcy is associated with the problems among the beneficiaries whose demands are more than the total available water.

It should be noted that water simply means a colorless and odorless liquid that is the basis of living organisms. The limited water supply has led to water resources bankruptcy which is the failure of water to meet the imposed demand by users.

The people who will benefit in water bankruptcy are the people whose needs weren't met by the available water.

An alternative way in which a water shortage problem can be resolved is the recycling of waste water and rainwater harvesting.

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Answer:

Plan One: y=4x+40

Plan Two: y=12x

Step-by-step explanation:

Answer:     use PEMDAS

Step-by-step explanation:  

After 300 trials, the experimental probabilities may not align perfectly with the theoretical probabilities. However, with more trials, the experimental probabilities tend to converge towards the theoretical probabilities for closer alignment.

To examine whether experimental probabilities after 300 trials align closely with theoretical probabilities, let's consider an example of flipping a fair coin.

Theoretical probability: When flipping a fair coin, the theoretical probability of obtaining heads or tails is 0.5 each. This assumes that the coin is unbiased and has an equal chance of landing on either side.

Experimental probability: After conducting 300 trials of flipping the coin, we record the outcomes and calculate the experimental probabilities. Let's assume that heads occurred 160 times and tails occurred 140 times.

Experimental probability of heads: 160/300 = 0.5333

Experimental probability of tails: 140/300 = 0.4667

Comparing the experimental probabilities to the theoretical probabilities, we can observe that the experimental probability of heads is slightly higher than the theoretical probability, while the experimental probability of tails is slightly lower.

In this particular example, the experimental probabilities after 300 trials do not align perfectly with the theoretical probabilities. However, it is important to note that these differences can be attributed to sampling variability, as the experimental outcomes are subject to random fluctuations.

To draw a more definitive conclusion about the alignment between experimental and theoretical probabilities, a larger number of trials would need to be conducted. As the number of trials increases, the experimental probabilities tend to converge towards the theoretical probabilities, providing a closer alignment between the two.

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The question probable may be:

Do experimental probabilities after 300 trials tend to align closely with theoretical probabilities? Consider an example scenario and calculate both the theoretical and experimental probabilities to determine if they are close.

Answer:

C. 5,500

Step-by-step explanation:

Place value can be defined as the numerical value representing a digit owing to its position in a number. Some examples of the various place values used in representing each digit are tenths, hundredths, thousandths, unit, tens, hundreds, thousands etc.

From 5,500

The place value of the bold 5 is hundreds.

The place value of the underlined 5 is thousands.

Therefore, 500 * 10 = 5000.

The solution of the given algebraic expression is: ⁷/₁₂ + ⁴/₆q

We are given the algebraic expression as:

¹¹/₁₂ - ¹/₆q + ⁵/₆q - ¹/₃

Combining Like terms gives us:

(¹¹/₁₂ - ¹/₃) + (⁵/₆q - ¹/₆q)

Solving both brackets individually gives us:

((11 - 4)/12) + ⁴/₆q

= ⁷/₁₂ + ⁴/₆q

Thus, we conclude that is the solution of the given algebraic expression problem

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So the formula to workout the area of a rectangle is height X width

so 11/3 x 5/8

which is 55/24 ft if they want a mixed number then... 2 \(\frac{7}{24\\}\)

hope this helps

C. (4, 4), (-2, 2), (7, 1), (-7, 2)

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y.[1] The set X is called the domain of the function[2] and the set Y is called the codomain of the function

The expression expressed as a difference is (a - 2) - (-7).

We have,

We can express a + 5 as a difference by subtracting a suitable term from it.

One way to do this is to subtract 2 and add 2, like this:

a + 5 = a + 5 - 2 + 2   (adding and subtracting 2)

     = (a - 2) + 7     (rearranging)

Now,

We can express a + 5 as the difference between a - 2 and -7, like this:

a + 5 = (a - 2) - (-7)

Thus,

The expression expressed as a difference is (a - 2) - (-7).

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bTo determine the percent of the original price you end up paying after the discounts, we can calculate the final price as a percentage of the original price.

Let's assume the original price of an item is $100.

The first discount reduces the price by 50%, so the price after the first discount is 50% of the original price, which is $100 * 0.5 = $50.

The second discount of 45% is applied to the price after the first discount. The price after the second discount is 45% of $50, which is $50 * 0.45 = $22.50.

Therefore, the final price you end up paying after both discounts is $22.50.\

To find the percent of the original price you end up paying, we divide the final price by the original price and multiply by 100:

Percent of original price = (final price / original price) * 100

In this case, the final price is $22.50 and the original price is $100:

Percent of original price = ($22.50 / $100) * 100

                       = 0.225 * 100

                       = 22.5%

Therefore, you end up paying 22.5% of the original price after the discounts.

It's important to note that the percent of the original price you end up paying will depend on the original price of the item. The calculations above were based on the assumption that the original price was $100. If the original price is different, the resulting percentage will vary accordingly.

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Answer:

wheres it at?

Step-by-step explanation:

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Answer: a ; 8/9

Step-by-step explanation: 8/9 + 8/9 x In(3) x (x-(-2)) + 4 In (3)^2/9 x (x-(-2))^2 + 4 In (3)^3/27 x (x-(-2))^3+...

Answer:

Six Million Seven Hundred Eighty Two Thousand one hundred sixty three

Step-by-step explanation:

Hope it helps...Pls Mark as Brainliest!!

Answer:

Six Million Seven Hundred Eighty Two Thousand One Hundred and Sixty Three.

Step-by-step explanation:

6, 782, 163

Answer:

The local maximum and minimum values are:

Local maximum

\(g(0) = 0\)

Local minima

\(g(5.118) = -350.90\)

\(g(-1.368) = -9.90\)

Step-by-step explanation:

Let be \(g(x) = x^{4}-5\cdot x^{3}-14\cdot x^{2}\). The determination of maxima and minima is done by using the First and Second Derivatives of the Function (First and Second Derivative Tests). First, the function can be rewritten algebraically as follows:

\(g(x) = x^{2}\cdot (x^{2}-5\cdot x -14)\)

Then, first and second derivatives of the function are, respectively:

First derivative

\(g'(x) = 2\cdot x \cdot (x^{2}-5\cdot x -14) + x^{2}\cdot (2\cdot x -5)\)

\(g'(x) = 2\cdot x^{3}-10\cdot x^{2}-28\cdot x +2\cdot x^{3}-5\cdot x^{2}\)

\(g'(x) = 4\cdot x^{3}-15\cdot x^{2}-28\cdot x\)

\(g'(x) = x\cdot (4\cdot x^{2}-15\cdot x -28)\)

Second derivative

\(g''(x) = 12\cdot x^{2}-30\cdot x -28\)

Now, let equalize the first derivative to solve and solve the resulting equation:

\(x\cdot (4\cdot x^{2}-15\cdot x -28) = 0\)

The second-order polynomial is now transform into a product of binomials with the help of factorization methods or by General Quadratic Formula. That is:

\(x\cdot (x-5.118)\cdot (x+1.368) = 0\)

The critical points are 0, 5.118 and -1.368.

Each critical point is evaluated at the second derivative expression:

x = 0

\(g''(0) = 12\cdot (0)^{2}-30\cdot (0) -28\)

\(g''(0) = -28\)

This value leads to a local maximum.

x = 5.118

\(g''(5.118) = 12\cdot (5.118)^{2}-30\cdot (5.118) -28\)

\(g''(5.118) = 132.787\)

This value leads to a local minimum.

x = -1.368

\(g''(-1.368) = 12\cdot (-1.368)^{2}-30\cdot (-1.368) -28\)

\(g''(-1.368) = 35.497\)

This value leads to a local minimum.

Therefore, the local maximum and minimum values are:

Local maximum

\(g(0) = (0)^{4}-5\cdot (0)^{3}-14\cdot (0)^{2}\)

\(g(0) = 0\)

Local minima

\(g(5.118) = (5.118)^{4}-5\cdot (5.118)^{3}-14\cdot (5.118)^{2}\)

\(g(5.118) = -350.90\)

\(g(-1.368) = (-1.368)^{4}-5\cdot (-1.368)^{3}-14\cdot (-1.368)^{2}\)

\(g(-1.368) = -9.90\)

If a linear function is increasing, the reciprocal function must be decreasing, mathematically because the reciprocal function is the inverse of the linear function

The reciprocal function of a linear function is given by the formula:

f(x) = 1/x

If a linear function is increasing, then its slope (m) is positive. This means that the slope of the reciprocal function must be negative. The slope of the inverse of a linear function is the negative reciprocal of the slope of the linear function, meaning that the slope of the reciprocal function must be negative for the linear function to be increasing.

To illustrate this, we can consider a simple example of a linear function, f(x) = 2x. This linear function has a positive slope (2), so its reciprocal function, f(x) = 1/x, must have a negative slope (-1). This means that the reciprocal function is decreasing.

In general, if a linear function is increasing, then its reciprocal function must be decreasing, as the slope of the reciprocal function must be the negative reciprocal of the slope of the linear function.

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Answer:

59

Step-by-step explanation:

6 plus 4 equals 8 plus 9

Here using the correct order of operations that is PEMDAS, we get the value to be 13.

PEDMAS can be summed up as a mathematical acronym that lists the various arithmetic operations in order of greatest to least practical use.

The letters stand for:

P stands for parentheses.

Exponents are shown as E.

D stands for division.

The letter M stands for multiplication.

A stand for addition.

S stands for subtraction.

Now in the given question,

15 - (4-3)2

First the parentheses

15 - (1)2

Next is exponents.

15 - 2

At last, after subtracting, we get:

13

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The effect that does NOT relate to one's driving ability is breathalyzer test results indicating a high BAC. Option B.

While the breathalyzer test measures the blood alcohol concentration (BAC), it is a method used to determine the level of alcohol in a person's system and is commonly used in assessing impairment for driving under the influence.

Therefore, it directly relates to one's driving ability and is not excluded from the effects on driving ability caused by a BAC of .2 percent.

On the other hand, options, lack of coordination, impaired gross motor skills, and impaired reactions all directly relate to one's driving ability as they affect the physical and cognitive abilities necessary for safe and efficient driving.

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Answer:

around 12,000

Step-by-step explanation:

Answer:

720

Step-by-step explanation:

60/25=2.4

2.4*300=720

Answer:

First, let's define an arithmetic sequence:

In an arithmetic sequence, the difference between any two consecutive terms is always the same.

Then we can write it in a general way as:

aₙ = a₁ + (n - 1)*d

where:

aₙ is the n-th term of the sequence.

d is the constant difference between two consecutive terms.

a₁ is the initial term of our sequence.

Now in this case we know that the first terms of our sequence are:

84, 77, ...

Then we know the initial term of our sequence:

a₁ = 84.

And the value of d can be calculated as:

d = a₂ - a₁ = 77 - 84 = -7

Then the general way of writing this sequence is:

aₙ = 84 + (n - 1)*(-7)

And the recursion relation is:

aₙ = aₙ₋₁ - 7

So for the n-th term, we must subtract 7 of the previous term.

Answer:

Step-by-step explanation:

im not a spoiler

Answer:

Farhan had 9 comic books

Sam had 51 comic books and lived in his Mother's basement

Step-by-step explanation:

W + F = 36

W = 3F

3F + F = 36

F = 9

W = 27

S + F = 60

S + 9 = 60

S = 51

Answer:

perimeter 140

Step-by-step explanation:

60L x 10W = 600

60(2) + 10(2) = 140

:D

Answer/Step-by-step explanation:

a. The mistake was "Going to Step 1".

The specific part of the problem that is wrong is\( (5^3) \)

b. It is wrong because applying the negative exponent rule (i.e. \( \frac{1}{a^x} = a^{-x} \), we should have:

\( (5^{-3}) \) NOT \( (5^3) \), because \( (\frac{1}{125}) = (5^{-3}) \).

c. Here's how to work out the rest of the problem correctly.

\( 5^{x - 4} = (\frac{1}{125})^{2x + 1} \)

1. \( 5^{x - 4} = (5^{-3})^{2x + 1} \)

2. \( 5^{x - 4} = 5^{-6x - 3} \) (distributive property)

3. \( x - 4 = -6x - 3 \) (5 cancels 5)

4. \( 7x - 4 = - 3 \) (addition property of equality)

5. \( 7x = 1 \) (addition property of equality)

6. \( x = \frac{1}{7} \) (division property of equality)