6) f(x)=x²-2x & Domain= (-5, -1, 0, 5, 7)
What is the Range of this function?

7) f(x) = -3x+12) & Domain= (-9, -4, 4, 8, 11)
What is the Range of this function?

8) f(x)=x²-(x/2) & Domain = {4, 8, 12, 30)
What is the Range of this function?

9) f(x)= |x-2x & Domain= (-5, -4,-3, 3, 5)
What is the Range of this function?

10) f(x) = (x²/2) + 30 & Domain = {-4, -2, 6, 8)
What is the Range of this function?

The solution to the given expression \(\frac{7}{5} \times ({\frac{1}{4} \div \frac{7}{4} }) \times (-10)\) is -2. Option (C) of all is correct.

Mathematically, an expression is a combination of numbers, variables, operations, and functions that are combined according to specific rules to represent a mathematical computation or relationship. It can be thought of as a mathematical phrase or formula.

To evaluate the expression  \(\frac{7}{5} \times ({\frac{1}{4} \div \frac{7}{4} }) \times (-10)\) , we follow the order of operations (PEMDAS/BODMAS), which dictates that we perform the division first, then the multiplication.

Division: \(\frac{1}{4}\) ÷ \(\frac{7}{4}\) can be rewritten as \(\frac{1}{4} \times \frac{4}{7}\) since division is equivalent to multiplying by the reciprocal.

\(\frac{1}{4} \times \frac{4}{7}\) = \(\frac{1}{7}\)

Multiplication: Now we can multiply the fractions and the remaining number.

\(\frac{7}{5} \times \frac{1}{7} \times (-10)\) = \(\frac{-70}{35}\)

                      = -2.

Therefore, the value of the expression \(\frac{7}{5} \times ({\frac{1}{4} \div \frac{7}{4} }) \times (-10)\) is -2.

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There are 7 people in Mr. Wilson's class, as Zach is the second person and Mary is the seventh person.

To calculate the total number of people in the class, we can use the formula 2x = 7, where x is the total number of people. Solving for x, we get x = 7.

To determine the number of people in Mr. Wilson's class, we can use the formula for the number of people in a circle, which is N = 2(n-1), where n is the number of people standing opposite each other in the circle. In this case, n is 2 (Zach and Mary). Therefore, N = 2(2-1) = 2 people. However, since there are 7 people in total in the circle, we can conclude that the number of people in Mr. Wilson's class is 7. To explain further, based on the given information, we can say that Zach is the second person, which means there are 2 people before him in the circle. Therefore, there are 7 people in Mr. Wilson's class. To further explain, we can break down the equation as follows: The person opposite of Zach is the seventh person, or 7th, so we can say that 7 is equal to the number of people in the class multiplied by 2, or 2x. Then, solving for x, we get x = 7. This means that the total number of people in the class is 7.

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The equation for the tangent plane at point P_0(2,1,2) on the surface 2x^2 + 4y^2 + 3z^2 = 24 is 5x + 4y + 3z = 20. The equation for the normal line at the point P_0(2,1,2) is parametrically represented by x = 2 + 5t, y = 1 + 4t, z = 2 + 3t.

To find the equation for the tangent plane, we first take the partial derivatives of the given surface equation with respect to x, y, and z, and evaluate them at point P_0(2,1,2). Then, we use these values and the point to write the equation for the tangent plane in the form Ax + By + Cz = D.  To find the equation for the normal line, we use the gradient vector of the surface equation at point P_0(2,1,2), which is orthogonal to the tangent plane at that point. This gradient vector provides the direction of the normal line, and we can use the point-slope form to write the equation for the line in terms of the given point and the direction vector.

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Answer: the answer is (1, 1.5)

Step-by-step explanation:

The state income task owed on a salary of $60,000 per year according to the given ranges is; $3,450.

It follows from the task content that for incomes of 17, 001 and above, the tax rate is; 5.75% .

Hence, it follows that for an individual whose in one is $60,000 per year, the state income tax owed is;

Tax = 5.75% of $60,000

= $3,450

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The correct answer is (a) there is a 95% chance that the interval (51%, 57%) contains the true percent of American adults who do not think that human beings developed from earlier species.

The margin of error, stated as 3% in the Harris Poll, is associated with a 95% confidence level. This means that in repeated sampling, 95% of the confidence intervals generated would contain the true proportion of American adults who do not believe in human evolution. Therefore, answer (a) is the correct interpretation of the margin of error.

Answer (b) is incorrect because the margin of error does not imply that the poll's estimate will be within 3% of the true proportion in 95% of cases. The margin of error only pertains to the width of the confidence interval, not the individual estimates.

Answer (c) is also incorrect because the margin of error only applies to the specific poll conducted and does not guarantee that the results of a future poll would fall within the same range.

Answer (d) is incorrect because the margin of error does not indicate the probability of the interval being correct. It is associated with the level of confidence, not the probability of correctness.

Answer (e) is incorrect because the margin of error does not ensure that 95% of all possible samples would contain the true proportion. It only provides a measure of uncertainty for the specific sample taken.

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Answer:

y=x+5

Step-by-step explanation:

find the slope, then plug in the values of y=mx+b

(7-3)/(2-(-2))

4/4

slope=1

Chose one of the points, I'll go with (2,7)

7=2(1)+b

7=2+b

5=b

Make it into an equation

y=x+5

Answer:

7.5 cm.

Step-by-step explanation:

The height of a rectangle can be calculated using the rectangle's base and area using the following formula:

height = area / base

This formula can be derived from the formula for the area of a rectangle:

area = base x height

By rearranging this formula, we get:

height = area / base

Therefore, if we know the area and base of a rectangle, we can use this formula to calculate its height.

1) rewrite

Height = are / base

2) plug in

h = 30 cm / 4 cm

3) solve (divide)

height = 7.5 cm

Therefore, the height of the rectangle is 7.5 cm.

Answer:

13200n: 4 is 600

Step-by-step explanation:

The equation in spherical coordinates is a) 3sin²ϕ - 2sinϕcosθ/ρ - 3cos²ϕ = 0

b) 2sinφcosθ + 4sinφsinθ + 5cosφ = 1/ρ

a) The equation in Cartesian coordinates is 3x² - 2x + 3y² - 3z² = 0. To convert to spherical coordinates, we use the following substitutions:

x = ρsinϕcosθ

y = ρsinϕsinθ

z = ρcosϕ

Substituting these values into the Cartesian equation gives:

3(ρsinϕcosθ)² - 2(ρsinϕcosθ) + 3(ρsinϕsinθ)² - 3(ρcosϕ)² = 0

3ρ²sin²ϕcos²θ - 2ρsinϕcosθ + 3ρ²sin²ϕsin²θ - 3ρ²cos²ϕ = 0

3ρ²sin²ϕ(cos²θ + sin²θ) - 2ρsinϕcosθ - 3ρ²cos²ϕ = 0

3ρ²sin²ϕ - 2ρsinϕcosθ - 3ρ²cos²ϕ = 0

Simplifying and dividing by ρ² gives:

3sin²ϕ - 2sinϕcosθ/ρ - 3cos²ϕ = 0

(b) The equation in rectangular coordinates is 2x + 4y + 5z = 1. To write it in spherical coordinates, we use the same conversion formulas as before:

2(ρsinφcosθ) + 4(ρsinφsinθ) + 5(ρcosφ) = 1

Simplifying and dividing by ρ, we get:

2sinφcosθ + 4sinφsinθ + 5cosφ = 1/ρ

This is the equation in spherical coordinates.

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Answer:

SIX MILLION THIRTY ONE THOUSAND SEVEN HUNDRED THIRTY NINE POINT FOUR TWO

6,031,739.42 in word form is written as six million thirty-one thousand seven hundred thirty-nine and forty-two hundredths.

In word form, numbers are written out using words rather than numerical symbols. When we write 6,031,739.42 in word form, we break down the number into its different place values and express each place value using words.

Here's the breakdown:

- Six million (6,000,000) represents the millions place.

- Thirty-one thousand (31,000) represents the thousands place.

- Seven hundred thirty-nine (739) represents the hundreds place.

- And forty-two hundredths (0.42) represents the decimal part.

Putting it all together, we say "six million thirty-one thousand seven hundred thirty-nine and forty-two hundredths" to express the number 6,031,739.42 in word form.

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Answer:

There is a 1/3 (or 0.33%) probability of rolling a number greater than or equal to 5.

Step-by-step explanation:

First, find what numbers are greater than or equal to 5:

5 and 6

Find what options you can get on a number cube:

1, 2, 3, 4, 5, and 6

Out of the 6 possible outcomes, there are only 2 that will get a number greater than or equal to 5. Write this as a fraction:

2/6

Simplify:

1/3

Analysis of variance is used to test for equality of several population means.

ANOVA could also be utilized to predict the dependent variable of even more with around 2 categories and seems to be compared to the general population extra influential throughout this circumstance.

Throughout addition, ANOVA variants typically include covariates that encourage somebody to manipulate numerically for confounding factors as well as to recognize interactions wherein the factor progressives the implications of some other factor.

ANOVA (Analysis of Variance) was developed by Ronald Fisher.

ANOVA means the Analysis of Variance, is collection of statistical models & linked estimation processes, like variation among & between groups. It is used in analyzing differences among various means.

Therefore, Analysis of variance is used to test for equality of several population means.

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Answer:

54

Step-by-step explanation:

if y=3 to the power of 3 it makes it 9 because 3+3+3=9

therefore it makes the equation look like this:

3 x 9^2 = 27+27 = 54

<3 Enjoy,

    Dea

The missing reasons that complete the proof are:

3. Alternate angles theorem

4. Alternate angles theorem

5. Substitution property

Two angles that are formed lying opposite each other along a transversal on two parallel lines are called alternate angles, and they are proven to be congruent to each other by the alternate angle theorem.

According to the transitive property of congruence, if two angles are said to be congruent to a third angle, then the three angles will be congruent to each other.

In the proof given, in step 3, ∠R and ∠STV are congruent to each other because they are alternate angles, therefore, the reason for statement 3 would be: alternate angles theorem.

In step 4, ∠TSV and ∠RUV are congruent for the same reason.

In step 5, the substitution property is the reason why ∠R ≅ ∠RUV, because ∠R ≅ ∠RUV.

The transitive property of congruence is then used to conclude the proof showing that ∠STV ≅ ∠RUV.

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Make a story problem about conversion of measurements.

Cairo wants to join the basketball team, so he tried out and filled up a form. But he realized that the form wanted to get his height in "cm or centimeters", the problem is that he only knows his height in "feet" which is 6'5.

Since he didn't know how to convert centimeters to feet, he asked his friend Tyga and Tyga easily converted his height into cm. Cairo then filled up the form again and wrote "195.58 cm" in his official height--the equivalent of 6'5 in centimeter measurement.

Answer: AB=12

Los triangulos BCD y ADE son iguales por tener dos lados y el angulo comprendido respectivamente iguales. por tanto AE=DC=4

Luego AB = AE+EB = 4+8 = 12

Answer:

X=4

Step-by-step explanation:

The Lagrange multipliers fail to solve the problem because  g = 0 at the coordinates (x, y) = (0, 1) where f reaches its minimum on g = 0,

The Italian mathematician Joseph-Louis Lagrange is honoured by having his multiplier method named after him. In order to apply the derivative test of an unconstrained problem to a constrained problem, it is necessary to convert it into a different form.

Moreover, this technique is frequently employed in mathematical optimization. When a function of the form f(x, y, and z) is subject to equality constraints of the form g(x, y, and z) = k or g(x, y, and z) = 0, one useful technique is the method of Lagrange's multipliers. This means that it depends on the values of the desired variable exactly satisfying the terms of one or more equations.

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The companies in order of greatest comparative advantage to least comparative advantage in producing large tubes of toothpaste is 4, 3, 1, 2 that is option C.

Use the numbers to place the companies in order of greatest comparative advantage to least comparative advantage in producing large tubes of toothpaste.

Toothpaste company

Large tubes

Small tubes

1) Sparkling

100 per hour

200 per hour

2) Bright White

100 per hour

250 per hour

3) Fresh!

200 per hour

250 per hour

4) Mint

150 per hour

150 per hour

Formula for comparative advantage is

CA=rate of producing large tubes/rate of producing small tube

For 1 Sparkling:

CA = 100/200

CA = 0.5

For 2 Bright White:

CA = 100/250

CA = 0.5

For 3 Fresh:

CA = 200/250

CA = 0.8

For 4 Mint:

CA = 150/150

CA = 1

thus, to place the companies in order of greatest comparative advantage to least comparative advantage in  producing large tubes of toothpaste is 4, 3, 1, 2.

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Complete question:

Use the numbers to place the companies in order of greatest comparative advantage to least comparative advantage in

producing large tubes of toothpaste.

2.1.3.4

4.1,2,3

4,3,1,2

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Submit

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There are 3 cases to consider when determining horizontal asymptotes:

1) Case 1: if: degree of numerator < degree of denominator. then: horizontal asymptote: y = 0 (x-axis)

2) Case 2: if: degree of numerator = degree of denominator.

3) Case 3: if: degree of numerator > degree of denominator.

In this case, since there are five white slices out of a total of eight slices, the probability of X is 5/8. The probability of the wheel not stopping on a white space (event notX) can be calculated as the complement of event X, which is 1 - P(X), or 1 - 5/8, resulting in 3/8.

To calculate the probability of event X, we divide the number of white slices (5) by the total number of slices on the wheel (8). Therefore, P(X) = 5/8. This means that out of all the possible outcomes, there is a 5/8 chance of the wheel stopping on a white space.

The probability of event notX can be calculated as the complement of event X. Since the sum of probabilities for all possible outcomes must be equal to 1, we subtract P(X) from 1. Thus, P(notX) = 1 - P(X) = 1 - 5/8 = 3/8. This means that there is a 3/8 chance of the wheel not stopping on a white space.

In summary, the probability of the wheel stopping on a white space (event X) is 5/8, while the probability of it not stopping on a white space (event notX) is 3/8.

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Answer:

6

Step-by-step explanation:

number of ways to flip coin-2

number of ways to spin the spinner-3

2*3=6

6 different possible outcomes are there if he flips a coin and spins a spinner with three equal-sized sections.

A combination is a mathematical technique for determining the number of potential arrangements in a set of objects where the order of the selection is irrelevant. You can choose the components in any order in combinations. Permutations and combinations are often mistaken.

Caleb is designing a new board game, and is trying to figure out all the possible outcomes.

Outcome of Flipping a coin = 2 (Head or Tail)

and, Spinner had three equal sized section.

So, the number of possible outcomes

= 2 x 3

= 6

Thus, there 6 outcomes.

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The probability that the next customer to enter the shop will order a cookie is given as follows:

31/60.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

The outcomes in which a cookie is ordered are given as follows:

Hence the probability is obtained as follows:

3/4 x 1/3 + 2/5 x 2/3 = 1/4 + 4/15 = 15/60 + 16/60 = 31/60.

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Answer:

1020; 68.

Step-by-step explanation:

5 x 3= 15

340 x 3= 1020

340/5= 68

Hope this helps!!Have a great day!!

Answer:

They can make 1,020 bagels. The rate per hour is 68.

Step-by-step explanation:

I hope this helps!!!!!!!!!!!!

Answer:

uh i think 2 i just want points

Step-by-step explanation:

Answer:

y = 3x + 3

Step-by-step explanation:

As x increases, y increases by 3. Therefore, the slope of the function is 3.

Setting x = 0 will give an output of 3. Therefore, the y-intercept is (0, 3).

Overall, the function rule for the given data set is y = 3x + 3.