A triangle shaped table top with an area of 324 square inches has a base of 8x+4 inches and a height of 4x+2 inches. Given the area of a triangle is half of its base times height, what is a reasonable value of x in this situation?

Answer:

Your answer is -29

Step-by-step explanation:

Hope this helps : )

it will take approximately 17.32 years for the value of the building to double its current value.

To find the number of years it will take for the value of the building to double, we need to solve the equation:

2 * 106,000 = 106,000 * e^(0.04t)

Let's solve it step by step:

Divide both sides of the equation by 106,000:

2 = e^(0.04t)

Take the natural logarithm of both sides:

ln(2) = ln(e^(0.04t))

Apply the logarithmic property:

ln(2) = 0.04t

Divide both sides of the equation by 0.04:

t = ln(2) / 0.04

Now, let's calculate the value of t:

t ≈ ln(2) / 0.04 ≈ 17.32

Therefore, it will take approximately 17.32 years for the value of the building to double its current value.

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1.The multiplied answer for the given numbers 2.5 and 3.15 is 7.875. Option 4 is correct.

2. Her investment is 578.85, Option-C is correct.

Given that,

There is a question in the picture that is

The numbers 2.5×3.15

We have to find the multiplied answer.

Mathematicians use multiplication to calculate the product of two or more numbers. It is a basic mathematical procedure that is widely used in daily life. When we need to combine groups of similar sizes, we utilize multiplication.

The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Multiplying the numbers makes it simpler to add the same number repeatedly.

=2.5×3.15

=7.875

Therefore, the multiplied answer for the given numbers 2.5 and 3.15 is 7.875. Option 4 is correct.

2. We have she has invest $500 at 5% annual compound interest. After 3 years, what is her investment.

500×5%

25

Next 525×5%

551.50

Next

578.85

Therefore, her investment is 578.85, Option-C is correct.

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SOLUTION

We want to solve the equation

cross multiplying, we have

Hence the answer is x = 2, the first option

When performing a statistical analysis, we work with sample rather than the entire population because, we often lack manpower or resources to gather data. So option D is correct.

Statistical work is usually done with a sample. This is done because, if we try to include and collect data from the whole population, it will be very time consuming and need more manpower and resources. It will become a much tedious process.

So a sample which is representative of the whole population is needed. Selecting a sample size and determining the sample must follow certain criteria. They are population parameters we want to estimate, Cost of sampling, Variability of the population, how hard is it to collect data and how precise we want the final estimates to be. All these are taken into consideration and a sample that properly represent the population is determined without bias.

So, option D is the correct answer.

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Answer:

Price Elasticity of Supply = 1.25

Step-by-step explanation:

Price      Quantity        Total Revenue ( P x Q)

100     10000/100 = 100       10000

120      15000/120 = 125        15000

Price Elasticity of supply is change in quantity supplied, due to change in price. Formula : (dQ / dP) x (P / Q)

(125 - 100) / (120 - 100)   x (100/100)

= 25/20 = 1.25

Answer: Euclid

Step-by-step explanation:

Answer:  4

Which geometer developed the deductive reasoning method for geometric proofs that is used today?

1.  Rene Descartes

2. Pythagoras

3. Girard Desargues

4. Euclid

Deductive reasoning, unlike inductive reasoning, is a valid form of proof.  Euclid using his definitions, common notions and postulates as an axiomatic system, was able to produce deductive proofs of a number of important geometric propositions.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The number is x, then:

The number is 3

Here are the correct matches between the algorithms and their complexity: Linear search: O(n).

Linear search is an algorithm that sequentially checks each element in a list until a match is found. It has a time complexity of O(n) because in the worst case scenario, it may need to iterate through all n elements in the list. Binary search: O(log n). Binary search is an algorithm that divides a sorted list in half repeatedly until the target element is found. It has a time complexity of O(log n) because with each iteration, the search space is halved, resulting in a logarithmic growth rate. Bubble sort: O(n^2). Bubble sort is a simple sorting algorithm that repeatedly swaps adjacent elements if they are in the wrong order. It has a time complexity of O(n^2) because it needs to iterate through the list multiple times and compare each pair of elements. Insertion sort: O(n^2). Insertion sort is an algorithm that builds a sorted list by repeatedly inserting elements into the appropriate position. It has a time complexity of O(n^2) because in the worst case, each element may need to be compared and shifted multiple times to find its correct position.

Remember that big O notation represents the upper bound of an algorithm's time complexity, indicating how the runtime grows as the input size increases. These complexities provide insights into the efficiency and scalability of the algorithms in different scenarios.

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Answer:

The answer is 152.5 ft

Step-by-step explanation:

What I did as multiply 6x2.5 and didn't divide by 2 because there are 2 of those triangles and got 15

Then I multiplied 6.5x11 and added that to 6x11 and got 137.5

After that I added 137.5 and 15 to get my answer of 152.5

Answer:

D, \((90-y)\) degrees

Step-by-step explanation:

Complementary angles are angles that add up to 90 degrees. Since angle A and angle B are complementary, they add up to 90. Since the value of angle A is y degrees, we can substitute y into the equation to get

\(y+B=90\)

To get the measure of angle B, we must isolate B.

To isolate B, we have to remove every term from its side.

The only term on the side that B is on other than B is y. To remove y from the left side, we must subtract y from both sides. Doing this will result in the equation:

\(B=90-y\)

The only answer option that meets this criteria is D.

B) Waiting for a package can be so agonizing is the sentence which uses a gerund as the subject of a sentence.

A gerund is a verb form that functions as a noun, and in this sentence, "waiting" is the gerund acting as the subject of the sentence. The sentence is expressing the idea that the act of waiting for a package is a frustrating experience.

Option A) "I am waiting for the delivery man to come," uses the present participle "waiting" as a verb in the present continuous tense. Option C) "The patient woke up on the operating table," uses the noun "patient" as the subject of the sentence. Option D) "The economy has been booming since we sold our stock," uses the noun phrase "the economy" as the subject of the sentence.

Knowing how to identify gerunds and their role in a sentence can help improve one's writing skills and clarity of expression.

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Answer:

\(5x^2 + 10\)

Step-by-step explanation:

\(4x^2 + x^2 = 5x^2\\7x + (-7x = 0\\-4 + 14 = 10\)

The correct answer is option (a) n < 27. By dividing both sides of the inequality by -3, we get n > -27.

To solve the inequality -3n < 81, we divide both sides by -3. Remember that when dividing by a negative number, the direction of the inequality sign changes. Dividing both sides by -3 gives us n > -27. So, the correct answer is option (d) n > -27.

The reasoning behind this is that dividing by -3 reverses the inequality sign, which means that the less than ("<") sign becomes a greater than (">") sign.

Option (a) n < 27 is incorrect because dividing by -3 changes the direction of the inequality. Option (b) is stated to be wrong. Option (c) n = 27 is incorrect because the original inequality is strict ("<") and not an equality ("=").

Therefore, By dividing both sides of -3n < 81 by -3, we get n > -27. Therefore, the correct answer is option (a) n < 27.

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Answer:

Step-by-step explanation: the answer is 222

Answer:

                          A,C,D

                             or

Line WZ has the same slope as line XY.

Line XW has a lesser slope than line YZ.

Line ZW has the same y-intercept as line YZ.

Step-by-step explanation:

did it on edge 2020

Answer:

A C D

Step-by-step explanation:

BOYYYYYYYYYYYYYYYYYY

2.74 would be your answer

Answer: True

Step-by-step explanation:

Prism volume = lwh

Pyramid Volume = lwh/3

Answer:

M N o 3 9:Ol length-P∆kon-60+39-99

The expected time for the activity in the network diagram is 7 weeks, and the variance is 1 week.

In project management, the expected time and variance of an activity can be calculated using the PERT (Program Evaluation and Review Technique) formula. The formula takes into account the optimistic time estimate (O), the most likely time estimate (M), and the pessimistic time estimate (P).

To calculate the expected time (TE) for the activity, the formula is as follows: TE = (O + 4M + P) / 6. In this case, the optimistic time estimate is 5 weeks, the most likely time estimate is 7 weeks, and the pessimistic time estimate is 12 weeks. Plugging these values into the formula, we get (5 + 4 * 7 + 12) / 6 = 7 weeks.

The variance (V) of the activity can be calculated using the formula: V = ((P - O) / 6)^2. Substituting the values, we have ((12 - 5) / 6)^2 = 1 week squared.

Therefore, the expected time for the activity in the network diagram is 7 weeks, and the variance is 1 week.

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Step-by-step explanation:

none of the graphs that we can see here.

the first are 2 parallel lines. they never cross, so there is no solution at all.

and the second one is seemingly only one line. well a line goes on infinitely, and every point on it is a solution to the line equation. so, this has infinite many solutions.

After answering the given query, we can state that  50 feet minus 40 feet  expressions equals an improvement of 10 feet.

In mathematics, you can multiply, split, add, or take away. The following is how an expression is made together: Numeric value, expression, and arithmetic operator The elements of a mathematical expression are integers, parameters, and functions.   It is feasible to use contrasting words and expressions. Any mathematical declaration containing variables, numbers, and a mathematical action between them is known as an expression, also known as an algebraic expression. As an example, the expression 4m + 5 is composed of the expressions 4m and 5, as well as the variable m from the provided equation, which are all separated by the mathematical symbol +.

The query is incomplete because it omits mentioning the precise distance that Bobby threw at each track meet. We cannot compute the improvement unless we know the precise distances.

However, if the distances Bobby threw were provided, the following expression would be used to calculate the distance by which he increased his throw from the first to the second track meet:

Distance hurled at the second track meet minus the distance thrown at the first track meet is an improvement.

Bobby's improvement would be as follows if he hurled 40 feet at the first track meet and 50 feet at the second track meet:

50 feet minus 40 feet equals an improvement of 10 feet.

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Answer:

YOUR ANSWER IS D

Step-by-step explanation:

have a nice day.

100 kernels are randomly selected from a population that is in Hardy-Weinberg equilibrium. 9 yellow kernels and 91 purple kernels are discovered. In this population, the yellow allele is 0.09 times more common.

Both citizens who are physically present in a country or who are temporarily away from it, as well as all foreigners who have permanently emigrated to that country, are included in the phrase "people." This indicator represents the population of a particular area. Growth rates are used to describe the differences in population that occur each year as a result of births, deaths, and net migration. In 2022, Russia had the highest population density in Europe—144.7 people per square mile. In terms of population size, Turkey came in second with 85 million people, followed by Germany with 83.4 million, the United Kingdom with 67.4 million, and France with 65.6 million. Vatican City has a population of just over 800, making it the world's least populous country. Vatican City is the smallest totally sovereign nation-state in the world.

The  frequency is 9/10 or 0.09

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There  is no maximum value of κ on the curve y=3e^x.

To find the point of maximum curvature on the curve y=3e^x, we need to first find the second derivative of y with respect to x, which will give us the curvature of the curve:

y = 3e^x

y' = 3e^x (since the derivative of e^x is e^x)

y'' = 3e^x (since the second derivative of e^x is also e^x)

Now, to find the point of maximum curvature, we need to set y'' equal to zero and solve for x:

y'' = 3e^x = 0

e^x = 0

This equation has no real solutions, which means that there is no point of maximum curvature on the curve y=3e^x.

To find the maximum curvature, we can use the formula:

κ = |y''| / (1 + y'^2)^(3/2)

Since we know that y'' = 3e^x, we can simplify this formula to:

κ = 3e^x / (1 + (3e^x)^2)^(3/2)

To find the maximum value of κ, we can take the derivative of κ with respect to x and set it equal to zero:

dκ/dx = 3e^x (9e^2x - 2) / (1 + 9e^2x)^(5/2) = 0

This equation has no real solutions, which means that there is no maximum value of κ on the curve y=3e^x.

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In the context of inferential statistics, the variance that exists in a set of sample data is often classified as "error variance" (option a).

Error variance refers to the variability or differences between the observed values in a sample and the true population values. It represents the amount of random error or variation in the data that is not accounted for by the statistical model or factors under investigation.

To calculate the variance, you would typically take the squared differences between each data point in the sample and the sample mean, sum them up, and divide by the number of observations minus one (for unbiased estimation).

Understanding the concept of error variance is crucial in inferential statistics as it helps to quantify the uncertainty and variability in sample data, which ultimately affects the accuracy and reliability of the statistical inferences drawn from the sample to the population.

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Answer:

the smaller is 25 and the bigger one is 30 .

Step-by-step explanation:

1.

x+y=55

y-5=x

------------

2.

x+y=55

y-x=5

2y = 60

y = 30

30 - 5 = 25

The ratio which is equivalent to 33:39 is 11:13

An equaivalent ratio are fraction whose value are equal and are integral multiples of each other.

For example 1:2 = 2:4

Since 1:2 = 1 × 2 : 2 × 2 = 2 : 4

Also, 2:4 = 2 ÷ 2: 4 ÷ 2 = 1 : 2

We see that 1:2 and 2:4 are equivalent since we multiply 1:2 by 2 to get 2:4 or divide 2:4 by 2 to get 1:2.

So, to find the ratio equivalent to 33:39, we write 33:39 in its simplest terms.

So, 33:39 = 11 × 3 : 13 × 3

= 11 : 13

So, the ratio which is equivalent to 33:39 is 11:13

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Recall that when adding polynomials you need to combine "like terms" (that is the terms that contain the SAME VAriable (letter) part.

Then in the addition:

(x + 2 y - 4 z) + ( x - 4 y + 6 z)

we combine:

x + x = 2 x

2 y - 4 y = - 2 y

and

- 4 z +6 z = 2 z

obtaining finally:

2 x - 2 y + 2 z