A school survey showed 18 out of 20 students preferred taking Art. What percent of the students prefer taking Art?​

To form a triangle, the set of line segments must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, we need to check if the given line segments 8 cm, 4 cm, and 3 cm meet this requirement.

We can start by checking if the sum of the two smaller sides (3 cm and 4 cm) is greater than the largest side (8 cm). 3 cm + 4 cm = 7 cm, which is less than 8 cm. Therefore, these three line segments cannot form a triangle.

In general, for a set of line segments to form a triangle, the largest side must be smaller than the sum of the other two sides. In this case, the line segment of 8 cm is too long compared to the other two sides, which makes it impossible to form a triangle.

In conclusion, there are no line segments that meet the requirements to form a triangle with lengths of 8 cm, 4 cm, and 3 cm.

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To determine the counter clockwise rotation of 180 degree about the origin

When rotating a point 180 degrees counterclockwise about the origin our point H(x,y) becomes H'(-x,-y).

From the rotation formula about the origin counterclockwise 180 degree is

Therefore the correct answer is Option A

Answer:

A

Step-by-step explanation:

Keep it simple, but correct :)

Answer:

Step-by-step explanation:

Since there were a 35% discount, it means that 65% of the original price still remains.

Therefore, 65% of 45 is 29.25

The first part of the function is a constant function, so its Fourier Transform is zero. The second part of the function is a linear function, so its Fourier Transform is a constant times

the Fourier Transform of the given function:

F(w) = where and is the Heaviside step function.

To find the Fourier Transform of the given function, we can use the following steps:

Start with the definition of the Fourier Transform:

F(w) = ∫ f(x) e^(-iwx) dx

Substitute the given function into the formula:

F(w) = ∫ 1 - x/2 0 -1 otherwise e^(-iwx) dx

Split the integral into two parts:

F(w) = ∫ 1 e^(-iwx) dx + ∫ -x/2 e^(-iwx) dx

Evaluate the first integral:

∫ 1 e^(-iwx) dx = -i/w

Evaluate the second integral:

∫ -x/2 e^(-iwx) dx = i/(2w) (e^(-iwx) - e^(iwx))

Add the two integrals to get the final answer:

F(w) =

The given function is a piecewise function, so we need to use the Heaviside step function to evaluate the Fourier Transform. The Heaviside step function is defined as follows:

H(x) = where is a real number.

In this case, the Heaviside step function is used to represent the two parts of the given function. The first part of the function is zero for

and one for. The second part of the function is zero for and

The Fourier Transform of a piecewise function can be found using the following steps:

For each part of the function, find the Fourier Transform of the function.

Add the Fourier Transforms of each part to get the final answer.

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Answer:

21 fish

Step-by-step explanation:

52/4=13

24/3=8

13+8=21

Answer:

Step-by-step explanation: We usually use the distributive property because the two terms inside the parentheses can't be added because they're not like terms;

Answer:

9

Step-by-step explanation:

ANSWER

324

EXPLANATION

We want to find the sum of the arithmetic progression:

To do that we apply the formula for the sum of an arithmetic sequence:

where a = first term

l = last term

n = number of terms

We have to find n by using the last term:

d = common difference

The common difference is 4. Therefore, we have to find n:

There are 12 terms.

Therefore:

That is the sum of all the terms.

Answer:

Gertrude is 36 and Murray is 12.

Step-by-step explanation:

12 times 3 is 36, making Gertrude three times as old, and adding their ages 12 plus 36 does equal 48. So, therefore, this must be the correct answer to the equation.

Answer:

A

Step-by-step explanation:

-4x+5y=10. -4x+5y=10. -4x+5y=10

Answer:

Hope it helps dear.Please let me know

First you will get 4dz

Answer:

Step-by-step explanation:

√196 = 14

√169 = 13

√121 = 11

√225 = 15

√144 = 12

√100 = 10

Answer:

Hope this helps!!!

Have a great day!!!

√196=14

14*14=196

√169=13

13*13=169

√121=11

11*11=121

√225=15

15*15=225

√144=12

12*12=144

√100=10

10*10=100

Line A is parallel to line B because of consecutive interior angles converse.

Answer:

complementary

55 degrees

Step-by-step explanation:

ABC and CBD are complementary angles which means that their sum is 90 degrees

90 - 35 = 55 degrees

The values for "Y" correspond to the chosen "X" values are \(-0.0625,-0.25,-1,-0.25,-0.0625\)

A function, also known as the domain and the range, is a fundamental idea in mathematics that represents the relationship between two sets of elements. Each element in the domain is paired with a different element in the range.

A function is, more precisely, a rule or a correspondence that links every input value from the domain to precisely one output value from the range. The variable x normally represents the input values, and the variable y or f(x) typically represents the corresponding output values.

A function can be envisioned as a device that accepts an input and outputs a particular result in accordance with the rule or operation specified by the function. Only the input value influences the output, and each

Calculating the corresponding values of "X" and "Y" for each row is necessary to finish the table for the function \(h(x) = -(1/4)x\). I am not able to choose the missing values because the table is not provided. But I can explain to you how to figure out the function's values.

A function that depicts an exponential function is \(h(x) = -(1/4)x\). You can use the provided function to find the values by selecting a range of "X" values and determining the corresponding "Y" values.

Let's pick a range of "X" values from \(-2 to 2\), for illustration:

when \(x = -2:\)

\(h(-2) = -(1/4)^(-2) = -(1/4)^2 = -(1/16) = -0.0625\)

when \(x = -1:\)

\(h(-1) = -(1/4)^{-1} = -(1/4)^1 = -1/4 = -0.25\)

when \(x = 0:\)

\(h(0) = -(1/4)^0 = -1^0 = -1\)

when \(x = 1:\)

\(h(1) = -(1/4)^1 = -1/4 = -0.25\)

when \(x=2:\)

\(h(2) = -(1/4)^2 = -1/16 = -0.0625\)

These are the values for "Y" corresponding to the chosen "X" values. Depending on the table, you can select the appropriate values to complete it.

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Function is a relation that the domain doesn't have the same/repetitive value in a single set.

Some set of relations have repetitive domain

For example, {(1,1),(1,2)} This is NOT a function.

But {(1,1),(2,1)} is a function because there are no repetitive domains.

Therefore the answers are first choice, second choice and fifth choice.

a) There are 20 more girls taking the algebra course than boys based on the ratio of 33:37.

b) A system of equations to model the situation is as follows:

c) The equation to solve for a variable in the first step of solving the system of equations is Equation 1 because it does not have the ratios attached to the variables.

d) In interpreting the solution in the context of the problem, we can state that 20 more girls are taking the algebra course than boys or about 20%.

A system of equations involves two or more equations solved concurrently or simultaneously.

The total number of students taking an algebra course = 350

The ratio of boys to girls taking the algebra course = 33:37

The sum of ratios = 70

The number of boys taking the course = 165 (350 x 33/70)

The number of girls taking the course = 185 (350 x 37/70)

The difference between the girls and the boys = 20 (185 - 165)

Let the total number of boys taking the course = x

Let the total number of girls taking the course = y

x + y = 350 ... Equation 1

0.47x + 0.53y = 350 ... Equation 2

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The point P is (9, 2, 12).

To find the point P, we need to add the vector v = PQ to the given point 0.

Given that v = PQ has the components (7, 6, 9) and the point 0 has the components (2, -4, 3), we can calculate the coordinates of point P as follows:

P = 0 + v = (2 + 7, -4 + 6, 3 + 9) = (9, 2, 12)

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572000 or 5.72×10^5

Step-by-step explanation:

depends on what format ur teacher prefers but both show 3 sig figs correctly so either is correct

Data vary means that there are differences or fluctuations in the collected data. Variability affects the results of statistical analysis by increasing uncertainty and potential errors.

When it is said that data vary, it means that there are differences or fluctuations in the collected data. This variability can come from many sources, such as measurement error, natural variation, or differences in sample characteristics. Variability affects the results of statistical analysis by increasing uncertainty and potential errors. For example, if there is high variability in a data set, it may be more difficult to detect significant differences between groups or to make accurate predictions. To mitigate the effects of variability, researchers can use techniques such as stratification, randomization, or statistical modeling. By understanding the sources and impacts of variability, researchers can make more informed decisions and draw more accurate conclusions from their data.

In summary, variability in data refers to differences or fluctuations in the collected information. This variability can impact the accuracy and reliability of statistical analysis, potentially leading to errors or incorrect conclusions. To minimize the effects of variability, researchers should use appropriate techniques and methods, and carefully consider the sources and potential impacts of variability on their results.

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Answer:

$11.40, is the actual price, so no

Step-by-step explanation:

If a bagel is $0.95 cents, then multiply that by 12, that would be $11.40, so no, her total is not reasonable, even if you round $0.95 to a dollar, 12x1 would be 12, so you can't estimate that to $16.80

~Akmp10

There is no danger of a collision, as the two paths will never met, due to the negative discriminant of the quadratic function.

A quadratic equation is modeled by the general equation presented as follows:

y = ax² + bx + c

The discriminant of the quadratic function is given by the equation as follows:

Δ = b² - 4ac.

The numeric value of the coefficient and the number of solutions of the quadratic equation are related as follows:

The equations for this problem are given as follows:

Replacing the first equation into the second, we have that:

x + x² + 1 = -4

x² + x + 5 = 0.

The coefficients are:

a = 1, b = 1, c = 5.

Hence the discriminant is of:

Δ = 1² - 4 x 1 x 5

Δ = -19.

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Answer:

x = -3 - 2i and x = -3 + 2i

Step-by-step explanation:

I was too lazy to complete the square but solved it on WolframAlpha

Answer:

452.4 mi^2

Step-by-step explanation:

area of circle=πr^2

=22/7*(12)^2

=3.142*144

=452.448

=452.4 mi^2

Answer:

C)    452.4 mi²

Step-by-step explanation:

a = πr²

a = π * 12²

a = π * 144

a = 452.3893421169

a = 452.4

Answer:

We will prove the statement by mathematical induction.

Base case: For n=2, we have 5(2) + 9 = 19 and 6(2) = 12. Clearly, 19 ≤ 12 is false, so the base case does not satisfy the inequality.

Inductive step: Assume that for some integer k ≥ 2, 5k + 9 ≤ 6k holds. We will show that 5(k+1) + 9 ≤ 6(k+1) also holds.

Starting with the left-hand side of the inequality:

5(k+1) + 9 = 5k + 5 + 9 = 5k + 14

Since k ≥ 2, we can use the inductive hypothesis to write:

5k + 9 ≤ 6k

Adding 5 to both sides:

5k + 14 ≤ 6k + 5

Substituting back into the left-hand side of the original inequality:

5(k+1) + 9 ≤ 6k + 5 = 6(k+1)

Therefore, we have shown that if the statement holds for some integer k ≥ 2, then it also holds for k+1.

Conclusion: By the principle of mathematical induction, the statement 5n + 9 ≤ 6n holds for all integers n ≥ 2.

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