Calculate the surface area of the shape
in Fig 18.8.
P
Q
3 cm
R
T
4 cm
7 cm
-S

Answer:

y = 25

X = 25/2 is the value of X an dy

Answer:

x=5

y=10

Step-by-step explanation:

4x-2y=0

-x-2y=-25

subtract

5x=0-(-25)

5x=25

x=25/5=5

-5-2y=-25

2y=-5+25

2y=20

y=20/2=10

Answer:

i think the answer is 738

This is neither a permutation nor a combination.

When we say area code, we can assume that we are talking about the 7 digit codes of a phone number that are possibly added to the particular code of an area

If this is the situation, given the 10 ways we can select the 7 digits. But this  is not a combination given that the groups do not have the same elements. It is not also q permutation because we are not choosing arrangements of the 10 numbers.

To solve this we would have 10 values to the power of 7 which  is

10^7

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Option D 26/43 .

Given equation 2/43=t/13

To solve these type of question we have to follow some steps

that are as follows

Multiply all terms by the same value to eliminate fraction denominators

same value is 559 ....so multiply with 559 both sides

2/43=t/13

559×2/43 = 559×t/13 (by multiplying in LHS and RHS with same value)

Cancel multiplied terms that are in the denominator

13 ×2=43t

Multiply the numbers

26=43t

Divide both sides by the same factor

26/43=43t/43

Simplify

Cancel terms that are in both the numerator and denominator

Move the variable to the left

t=26/43 is the answer.

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The statement that is true about the equation y = -3x² + 4x - 11 is (b) that it represents both a function and a relation

From the question, we have the following parameters that can be used in our computation:

y = -3x² + 4x - 11

The missing options are added at the end of this solution

Recall that, we have

y = -3x² + 4x - 11

The above equation is a quadratic function

As a general rule

All functions are relations

Using the above as a guide, we have the following:

The equation is a function and a relation

Hence, the true statement is (b) it represents a function and a relation

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Complete question

Which statement is true about this equation? y = -3x² + 4x - 11

A. It represents a function only. B. It represents both a relation and a function. C. It represents a relation only. D. It represents neither a relation nor a function.

There are approximately 5.618 acres of kudzu for each person in Alabama.

To find the number of acres of kudzu per person in Alabama, we need to divide the total acreage of kudzu by the population of Alabama.

Total acreage of kudzu = \(2.5 * 10^5\) acres

Population of Alabama =\(4.45 * 10^6\) people

Acres of kudzu per person = (Total acreage of kudzu) / (Population of Alabama)

Acres of kudzu per person =\((2.5 * 10^5 acres) / (4.45 * 10^6 people)\)

To simplify this division, we can express the numbers in scientific notation and divide the coefficients and subtract the exponents:

Acres of kudzu per person =\(2.5 / 4.45 * 10^{(5-6)}\)  acres/person

Acres of kudzu per person = \(0.5618 * 10^{-1}\)acres/person

To express the result in a simplified form, we can move the decimal point one place to the right:

Acres of kudzu per person ≈ 5.618 acres/person

Therefore, there are approximately 5.618 acres of kudzu for each person in Alabama.

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Consider using 3D printing technology to create the spherical fountain. This would allow for precise and customizable designs, and could potentially be more cost-effective than traditional manufacturing methods for complex shapes.

Use a mathematical formula to design the fountain. Here are the steps to design a spherical fountain:

Determine the desired size of the fountain. This will be the diameter of the sphere. Let's say your client wants a fountain with a diameter of 6 feet.

Calculate the radius of the sphere by dividing the diameter by 2. In this case, the radius is 3 feet.

Use the formula for the surface area of a sphere to determine the surface area of the fountain. The formula is: SA = 4π\(r^2\), where r is the radius of the sphere and π is a mathematical constant (approximately 3.14). In this case, the surface area is:

SA = 4π\((3)^2\)

SA = 4π(9)

SA = 36π

SA ≈ 113.1 square feet

Use the desired water flow rate to determine the volume of water that will flow through the fountain per minute. Let's say your client wants a flow rate of 50 gallons per minute.

Use the formula for the volume of a sphere to determine the volume of the fountain. The formula is: V = (4/3)π\(r^3\). In this case, the volume is:

Calculate the amount of time it will take for the fountain to cycle through all of its water. This is known as the turnover time, and it is important to maintain water quality. The turnover time is calculated by dividing the volume of water in the fountain by the flow rate. In this case, the turnover time is:

Use these calculations to design the fountain, taking into account any necessary adjustments for the manufacturer's limitations.

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Full Question: Your client wants you to design a spherical fountain for a new garden bed. It is hard to find a manufacturer that can create perfect curved surfaces. You will need to modify the sphere to a series of cylindrical slabs with gradually decreasing radii.

Answer:

(5, 6)

Step-by-step explanation:

(5, 6)

x, then y.

one grid space is one up or down.

Good luck mate :)

Answer:

(0,3)

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

2,3,4,5,6,7,8,9,10

3,4,5,6,7,8

4,5,6,7,8

5,6,7

6

Answer: 6

Step-by-step explanation:

(2 + 10) ÷ 2 = 12 ÷2 = 6

Midpoint is 6

By showing that the corresponding sides are not proportional we know that the Triangles △fgh and △jih are not similar.

To prove that triangles △fgh and △jih are not similar, we need to show that at least one pair of corresponding sides is not proportional.
Let's compare the side lengths:

Side fg does not have a corresponding side in △jih.
Side gh in △fgh corresponds to side hi in △jih.
Side fh in △fgh corresponds to side ij in △jih.

By comparing the side lengths, we can see that side gh/hj and side fh/ij are not proportional.

Therefore, triangles △fgh and △jih are not similar.

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Triangle FGH (△FGH) is not similar to triangle JIH (△JIH) because their corresponding angles are not congruent and their corresponding sides are not proportional.

To prove that triangle FGH (△FGH) is not similar to triangle JIH (△JIH), we need to show that their corresponding angles and corresponding sides are not proportional.

1. Corresponding angles: In similar triangles, corresponding angles are congruent. If we compare the angles of △FGH and △JIH, we find that angle F in △FGH corresponds to angle J in △JIH, angle G corresponds to angle I, and angle H corresponds to angle H. Since the corresponding angles in both triangles are not congruent, we can conclude that the triangles are not similar.

2. Corresponding sides: In similar triangles, corresponding sides are proportional. Let's compare the sides of △FGH and △JIH. Side FG corresponds to side JI, side GH corresponds to side IH, and side FH corresponds to side HJ. If we measure the lengths of these sides, we can see that they are not proportional. Therefore, the triangles are not similar.

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The area of a circle with a radius r is given by the following formula:

In this case we know that the diameter is 8cm which means that its radius is 4cm. Using 3.14 for pie we get:

Then the answer is 50.24 cm².

Answer:

The last one on the bottom should be your answer

I hope this helps you honey

Answer:

$10.5 per dozen.

Step-by-step explanation:

$3.50 x 3 = $10.5

4 = 3.50 4 x 3 = 12 = $10.5

Answer:

x=10

y=5

Step-by-step explanation:

replace x in «-4x+11y=15» with 2y so it goes that way till you get y=5

Answer:

number of females =16

Step-by-step explanation:

100% + 25% =125%. 125%=number of males. 100\125 ×20=16. 20 - 16 =4

4.571 billion years is equals to  1.4415 × 10⁷ seconds.

To calculate the number of seconds in 4.571 billion years, we first need to determine how many seconds there are in a year. There are 60 seconds in a minute, 60 minutes in an hour, 24 hours in a day, and 365 days in a year. Multiplying these together gives us 31,536,000 seconds in a year.

Next, we multiply the number of seconds in a year by the number of years in 4.571 billion years. This gives us:

31,536,000 seconds/year x 4,571,000,000 years = 1.4415 × 10¹⁷ seconds

Therefore, there are approximately  1.4415 × 10¹⁷ seconds  in 4.571 billion years.

It's worth noting that this calculation assumes a standard year of 365 days. In reality, a year is slightly longer than 365 days, and so the actual number of seconds in 4.571 billion years would be slightly higher. Nonetheless, this calculation provides a good approximation.

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Answer: 2.4

Step-by-step explanation:

S = (3-2) • 180

S = 1 • 180

S = 180

47 + 28 + X = 180

75x = 180

X = 2.4

Rounded = 2

Answer:

99 = 3² * 11

Step-by-step explanation:

99 = 3 * 3 * 11

99 = 3² * 11

99 as a product of primes is, 99 = 3² * 11

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

To Write 99 as a product of primes,

we get,

99 = 3 * 3 * 11

99 = 3² * 11

Hence, 99 as a product of primes is, 99 = 3² * 11

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(a) The maturity value of the loan is $15,246.33.

(b) The amount of interest paid on the loan is $7,246.33.

To calculate the maturity value of the loan, we can use the formula for compound interest: A = \(P(1 + r/n)^(nt)\), where A is the maturity value, P is the principal amount, r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years.

In this case, the principal amount (P) is $8000, the interest rate (r) is 9%, the loan duration is 9 years, and interest is compounded quarterly, so n = 4. Plugging these values into the formula, we get A = \(8000(1 + 0.09/4)^(4*9)\) = $15,246.33.

To calculate the amount of interest paid on the loan, we subtract the principal amount from the maturity value: Interest = Maturity value - Principal amount = $15,246.33 - $8000 = $7,246.33.

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Answer:

The equation needs to be in standard form

Step-by-step explanation:

The equation needs to be in standard form

so the the coefficients a, b and c can be determined

for use in the quadratic formula

Answer:

the perchase :112 is the gratest nb that give an natural nb 112 ÷7 =16 adult ticket with 16 ÷4 = 4 student ticket

The results obtained from part (b) can be used to make the following conclusions: Warshall's Algorithm takes less time than Algorithm 0.1 for all values of n between 10 and 100.

The pseudocode for both Algorithm 0.1 and War shall's Algorithm is as follows: Algorithm 0.1:Warshall's Algorithm:

Here is the sequence of steps to calculate and record completion time as well as the 10-run average: Define the range of values n from 10 to 100, and then for each value of n, randomly generate a zero-one matrix M of size nxn (this is an adjacency matrix for a directed graph)

Run Algorithm 0.1 on M and record the time it takes to complete. Repeat this process for ten random matrices of size nxn, then calculate the average of the completion times of the ten runs. Run War shall's Algorithm on M and record the time it takes to complete. Repeat this process for ten random matrices of size nxn, then calculate the average of the completion times of the ten runs. Repeat this for all values of n from 10 to 100. Plot the results on an appropriate graph.

Warshall's Algorithm is more efficient than Algorithm 0.1 in computing the transitive closure of a given relation.

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In a statistical problem, a population consists of all items of interest in a statistical problem.The correct option in this case is option C - all items of interest in a statistical problem.

Population refers to the complete set of observations or items for which inferences are being made in statistical inference. It's the group that researchers are interested in studying, and it's the group to which they hope to extend their conclusions.

In statistics, the population is the entire collection of individuals, objects, or measurements that researchers are interested in studying. Researchers utilize statistical techniques to make inferences about population parameters based on data obtained from samples.

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Answer:

Step-by-step explanation:

it shows the center

or the center of an angle

Remember, SOH CAH TOA for the trigonometric functions. In this problem, we are given an angle, a side opposite that angle, and a side adjacent to that angle. So, we should use the tangent function to find the missing side.

tan(20) = 4 / x

tan(20)x = 4

x = 4 / tan(20)

x = 10.99 units

Hope this helps! :)

Answer:10.99

Step-by-step explanation:

False. very few tools are available to assist system analysts and end users in analyzing data.

There are many tools available to assist system analysts and end users in analyzing data. Some commonly used tools include spreadsheets (such as Microsoft Excel), data visualization software (such as Tableau or Power BI), statistical analysis software (such as R or SPSS), and business intelligence software (such as SAP or Oracle).

These tools allow analysts and end users to process, manipulate, and visualize large volumes of data, as well as to perform complex statistical analyses and modeling. Additionally, with the advent of big data technologies, such as Hadoop and Spark, analysts and end users can now analyze vast amounts of data in real-time, using distributed computing systems.

In summary, there are many tools available to assist system analysts and end users in analyzing data, and these tools continue to evolve and improve over time.

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