What is a in this question

There is no maximum and minimum values.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given function is f(x)=∛(x+1)

Find where the first derivative is equal to 0 to find the local maxima and minima.

By differentiating the given function we get

[tex]f(x)=(x+1)^{\frac{1}{3} }[/tex]

[tex]f'(x)=\frac{1}{3(x+1)^{\frac{2}{3} }}[/tex]

For maxima f'(x)=0

0= [tex]\frac{1}{3(x+1)^{\frac{2}{3} }}[/tex]

No local maxima or minima

Therefore, there is no maximum and minimum values.

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Answer:

the y-intercept for the first one is 4. remember y=mx+b!! b is the y-intercept. The second question the y-intercept is 4

Answer for 18 is 1. for the last question, the answer is -1/3. I attached an image to show the work for the last 3 problems but for the first one you don’t rlly need to show work.

The measurement scale for "age in years" is ordinal, meaning the values have a specific order or ranking, but no notion of equal distances between them.

The "age in years" measurement scale is ordinal. An ordinal scale is a type of measurement scale that has a specific order or ranking to its values, but there is no notion of equal distances between the values. In the case of "age in years," the values have a clear order (e.g., 25 years old is younger than 30 years old), but it doesn't make sense to say that a difference of 5 years is the same as a difference of 1 year. This is why age in years is considered to be measured on an ordinal scale.

Additionally, with an ordinal scale, the values can only be compared in terms of their order or ranking, and not in terms of the actual differences between them. For example, we can say that someone who is 25 years old is younger than someone who is 30 years old, but we cannot say that a person who is half as old as someone who is 50 years old at the age of 25. This is because an ordinal scale does not have a meaningful zero point and does not allow for meaningful comparisons of the absolute size of differences between values. An ordinal scale is the second highest measurement scale, below interval and ratio scales, which provide more information about the magnitude of the values being measured.

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Answer:

50 degrees. Complementary angles are any two angles that add up to 90 degrees. In this case, if the complement is 30 less than its bigger angle, and the bigger angle is twice the size of its complementary angle, then that would mean you take the unknown angle as x.(WORK SHOWN BELOW)

Step-by-step explanation:

[tex]x=2\times (\left90-x)\right-30\\[/tex]

Then regroup

[tex]x= 180-2x-30[/tex]

Work with like terms. For example, a whole's like term is another whole.

[tex]x+2x=(\left180-30)\right\\180-30=150\\x+2x=1+2\\x+2x=3x\\3x=150[/tex]

If 3x is the same as 150, then 150 divided by 3 is also x. We know this because almost any correct equation with some form of a constant or variable can be flipped into the opposite of itself.

[tex]x=\frac{150}{3}[/tex]

And lastly, 150 divided by 3 is 50.

Hope this helps!

The figures that will be formed are isosceles triangle and right angle.

option B and D.

A triangular pyramid is a geometric shape that has a triangular base and three triangular faces.

If all three sides of the base are congruent, then a verticals slice perpendicular to the base of the triangular pyramid will form the following figures;

Thus, the isosceles triangle will be formed because all three sides of the base are congruent, and third side will be from the vertical slice to the base creating a third unequal side.

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Probability of having exactly one ace in each hand of 13 cards can be found by using the multiplication rule: p = P(E1)P(E2)P(E3)P(E4), where E1, E2, E3, and E4 represent events of having exactly one ace in each hand.

The probability that the first hand has exactly one ace and the second hand has exactly one ace and the third hand has exactly one ace can be calculated as follows:

p = (4/52) * (3/51) * (4/50) * (3/49) = 6/54145.

The probability of an event happening is represented as P(E), where E is the event. The multiplication rule states that if two events are independent and mutually exclusive, then the probability of both events happening is equal to the product of their individual probabilities. In this case, we have three events E1, E2 and E3, where each event is that a hand has exactly one ace. To find the probability of all three events happening, we use the multiplication rule as P(E1 and E2 and E3) = P(E1) * P(E2|E1) * P(E3|E1 and E2), where P(E2|E1) and P(E3|E1 and E2) are the conditional probabilities of E2 and E3 given that E1 has happened.

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An appropriate interpretation of the 95 percent confidence level is Approximately 95% of all farm sizes in the United States are between 367 acres and 558 acres.

Random sampling is a method of choosing a sample of observations from a population to make assumptions about the population. It is also called probability sampling. The counterpart of this sampling is non-probability sampling or Non-random sampling. The primary types of this sampling are simple random sampling, stratified sampling, cluster sampling, and multistage sampling. In the sampling methods, samples which are not arbitrary are typically called convenience samples.

The primary feature of probability sampling is that the choice of observations must occur in a ‘random’ way such that they do not differ in any significant way from observations, which are not sampled. We assume here that statistical experiments contain data that is gathered through random sampling.

Here we have,

Sample size [tex]$(\mathrm{n})=[/tex] 30

95% confidence interval (367,558)

Interpretation

B) Approximately 95% of all farm size in the United States are between 367 acres and 558 acres.

Therefore, the correct option is (B)

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complete question: An agricultural engineer selected a random sample of 30 farms in the United States to construct a 95 percent confidence interval for the mean size, in acres, of farms in the United States. The resulting interval was (367, 558). Which of the following is an appropriate interpretation of the 95 percent confidence level?

(A) Approximately 95% of the farm sizes in the sample are between 367 acres and 558 acres.

(B) Approximately 95% of all farm sizes in the United States are between 367 acres and 558 acres.

(C) Approximately 95% of all random samples of size 30 from the population will have a mean farm size between 367 acres and 558 acres.

(D) Approximately 95% of all random samples of size 30 from the population will produce intervals that contain the mean size of farms in the United States.

(E) Approximately 95% of all random samples of size 30 from the population will produce intervals that contain the sample mean.

[tex]2(x + 9)[/tex]

2x+18

Answer:

yes you are at most right for 10099000

The integral to calculate the volume of the solid generated by revolving the region R about the y-axis is: ∫π/2 0 (π/2) (3 - [tex]y^2[/tex]) dy

∫π/2 0 (π/2) (3 - [tex]y^2[/tex]) dy

1. The region R is bounded in the first quadrant, so the integral limits are from 0 to π/2.

2. The integrand is the area of the cross-section of the solid generated by revolving the region R about the y-axis. The area of this cross-section is the difference between the outer radius (x=√3) and the inner radius (x2+y2=3). Therefore, the integrand is 3 - y^2.

3. The integral to calculate the volume of the solid generated by revolving the region R about the y-axis is: ∫π/2 0 (π/2) (3 - [tex]y^2[/tex]) dy

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Answer:

No the answer is

[tex]14 - 7y[/tex]

The reason that justifies the second statement "Angle L is congruent to angle T" is:

In a parallelogram, opposite angles are congruent.

Option C is the correct answer.

A parallelogram is a quadrilateral that has two pairs of parallel sides.

In a parallelogram, opposite sides and angles are equal.

The adjacent angles add up to 180 degrees.

We have,

Parallelogram LENS and parallelogram NGTH

Now,

Parallelogram LENS:

∠L = ∠N _____(1)

Opposite angles are equal.

Parallelogram NGTH:

∠N = ∠T ______(2)

Opposite angles are equal.

Now,

∠ENS = ∠GNH

Vertical angles are equal.

So,

From (1) and (2).

∠L = ∠T

Angle L is congruent to angle T

Thus,

Angle L is congruent to angle T

[ In a parallelogram, opposite angles are congruent ].

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The interpretation of the intercept is when the cab travel 0 miles , the total fee will be $12 ( option B)

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.

From the table, the slope can be calculated as:.

m = (27-19.5)/10-5

m = 7.5/5

m = 1.5

from the equation of a line, taking point 2 and $15

y-y1 = m(x - x1)

y - 15 = 1.5(x-2)

y - 15 = 1.5x -3

collect like terms

y = 1.5x +12

therefore the y- intercept is 12

This means at 0 miles $12 is charged

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Answer:

95km/h

Step-by-step explanation:

Divide 14km/h by 1330km to find out the equally distributed km/h per km:

1330km/14km/h

[95km/h]

Yes, as the relative frequency distribution closely resembles the empirical criterion for normal models.

Frequency tables or charts are used to represent frequency distributions. Frequency distributions can display the proportion of observations or the actual number of observations that fall inside each range. The distribution is known as a relative frequency distribution in the latter case.

What is the relative frequency distribution formula?

Subgroup Count / Total Count: Relative Frequency

Because they let us determine how frequent a certain value is in a dataset in comparison to all other values, relative frequency distributions are helpful.

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The sample has 100 participants, the population has all college students. Averages after the memory test represent mean effect of caffeine on memory for the sample.

a. The population in this experiment is all college students in the United States.

b. The sample in this experiment is the 100 students who participated in the study.

c. The group that received decaffeinated coffee is the control group.

d. The group that received caffeinated coffee is the experimental group.

e. The sample contains 100 participants. The population contains all college students in the United States.

f. The averages calculated after the memory test are the mean number of items correctly recalled in each group. These means represent the average effect of caffeine on memory for the sample of 100 college students who participated in the study. The results of the study can be used to make inferences about the population of all college students in the United States. However, it is important to keep in mind that the sample may not be representative of the entire population and further studies may be needed to make stronger conclusions about the effect of caffeine on memory in college students.

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The numeric values of each expression are given as follows:

At x = -4, the numeric values are given as follows:

f(-4) = 0, g(-4) = 1.

Hence the addition is given as follows:

f(-4) + g(-4) = 0 + 1 = 1.

At x = 3, the numeric values are given as follows:

f(3) = -1, g(3) = 2.

Hence the subtraction is given as follows:

f(3) - g(3) = -1 - 2 = -3.

At x = 0, the numeric values are given as follows:

f(0) = 2, g(0) = -1.

Hence the product is given as follows:

(fg)(0) = f(0) x g(0) = 2 x -1 = -2.

At x = 2, the numeric values are given as follows:

f(2) = -2, g(2) = 3.

Hence the quotient is given as follows:

(f/g)(0) = f(0)/g(0) = -2/3.

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Answer: -5

Step-by-step explanation:

To solve for x, you must use inverse operations.

We must move the 12 from the right, to the left in order to solve for x.

The inverse of addition, is subtraction.

Subtract 12 from both sides

7 - 12 = x + 12 - 12

To subtract a bigger number from a smaller number, flip it around, and make your answer negative

12 - 7 = 5

7 - 12 = -5

Something minus itself is 0

-5 = x + 12 - 12

-5 = x + 0

We like to have x on the left, and the = is symetrical.  Just flip it around

x = -5 + 0

x = -5

Verify

7 = -5 + 12

7 = 12 - 5

7 = 7

true

Answer:

67/100

Step-by-step explanation:

The researcher could then compare the effectiveness of the other treatment groups to the control group and determine which treatment is most effective for treating insomnia.

The researcher would utilize the following formula to calculate the effectiveness of the different insomnia treatments:

Effectiveness = (Average Hours Slept in Treatment Group - Average Hours Slept in Control Group) / Average Hours Slept in Control Grou

For example, if the average hours slept in the treatment group is 8 hours and the average hours slept in the control group is 6 hours, then the effectiveness follows:

Effectiveness = (8-6) / 6 = 0.33 or 33%

This would indicate that the treatment is 33% more effective than the placebo in increasing the amount of sleep per night. The researcher could then compare the effectiveness of the other treatment groups to the control group and determine which treatment is most effective for treating insomnia.

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Answer:

420 ft²

Step-by-step explanation:

The front and back walls have length 15 ft and height 10 ft.

The right and left walls have length 8 ft and height 10 ft.

There are two windows with 12 ft² each.

There is a door with 16 ft².

total area to paint = area of 4 walls - area of windows - area of door

A = 2(15 ft × 10 ft) + 2(8 ft × 10 ft) - 2(12 ft²) - 16 ft²

A = 300 ft² + 160 ft² - 24 ft² - 16 ft²

A = 420 ft²

Answer:

Step-by-step explanation:

420

SHeeeesh who's daddy baby

The length of the hypotenuse is given as follows:

41.23 ft.

The Pythagorean Theorem states that for a right triangle, the length of the hypotenuse squared is equals to the sum of the squared lengths of the sides of the triangle.

The features of the right triangle in this problem are given as follows:

The area of a right triangle is given by half the multiplication of the two side lengths of the triangles, hence the length x is given as follows:

0.5 x 10x = 200

5x = 200

x = 200/5

x = 40 ft.

Now we have the side lengths, the Pythagorean Theorem is applied to obtain the hypotenuse length, as follows:

h² = 10² + 40²

h = sqrt(10² + 40²)

h = 41.23 ft.

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Answer:

The vertical tank is basically a cylinder that is sometimes referred to as a V-120 cylinder. Both 120-gallon tanks can hold up to 96 gallons of propane when full (not 120 gallons). That’s due to the 80% rule; all propane tanks can be filled up to 80% of their maximum capacity.

Answer:

75%

Step-by-step explanation:

A vacuously true statement in the domain of square roots of positive integers is: For any integer  x, if x is not a perfect square, then the square root of x is not an integer.

This statement is vacuously true because the truth set of the hypothesis (x is not a perfect square) is empty; there are no positive integers which are not perfect squares.

For example, the perfect squares of the first 10 positive integers are 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100. Thus, the hypothesis (x is not a perfect square) is false for any x from 1 to 10. Therefore, the statement is vacuously true.

Formula:

Let x be any positive integer

Vacuously true statement:

If x is not a perfect square, then the square root of x is not an integer.

For any positive integer x, since x is not a perfect square, the square root of x is not an integer.

Therefore, the statement is vacuously true.

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The minimum and the maximum values of the function f(x) = ∛(x+1)  on the interval [−2, 0] are

The maximum and minimum values are pointed out from the graph by tracing the lowest point within the range and the highest point within the range to the graph, then to the output of the graph

The minimum point was at -2 and this gave an output of -1

The maximum point was at 0 and this gave an out put value of 1

The graph is attached

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The inequality representing the given situation is -

300x + 700y ≤ 7500

Advertising is the practice and techniques employed to bring attention to a product or service. Advertising aims to put a product or service in the spotlight in hopes of drawing it attention from consumers.

Given is that Bobby Flay is deciding how to advertise a new gourmet restaurant that he is opening. An online ad costs $300, and a TV ad costs $700. He has $7,500 to spend on the ads.

We can write the inequality as -

300x + 700y ≤ 7500

where -

{x} - number of online ads posted

{y} - number of TV ads poste

Plot the inequality on the graph. The shaded region represents the possible number of advertisements of each category Bobby can use to advertise.

Therefore, the inequality representing the given situation is -

300x + 700y ≤ 7500

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a)

g(10) = 62 means at 10 miles from the source, the elevation of the Mississippi river is 62 feet.

b)

The rate of change of the elevation with distance from the source is -2.4.

c)

The elevation of the Mississippi 11 miles from its source is 59.6 feet.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

g(x) is the elevation in feet of the Mississippi river x miles from its source.

a)

g(10) = 62

This means,

At 10 miles from the source, the elevation of the Mississippi river is 62 feet.

b)

g'(10 = -2.4

This means,

The rate of change of the elevation with distance from the source is -2.4.

It is negative because the river flows downward.

The unit is feet per mile.

c)

We can make g(x) = mx + c

m = -2.4

(10 , 62) = (x, g(x))

So,

62 = -2.4 x 10 + c

62 = -24 + c

c = 62 + 24

c = 86

And,

g(x) = -2.4x + 86

So,

At x = 11 miles

g(11) = -2.4 x 11 + 86

g(11) = -26.4 + 86

g(11) = 59.6

Thus,

g(10) = 62 means at 10 miles from the source, the elevation of the Mississippi river is 62 feet.

The rate of change is -2.4.

The elevation of the Mississippi 11 miles from its source is 59.6 feet.

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The physical education teacher is using a pedometer to measure the number of steps taken by a student in a 40-minute physical education class, which can then be used to evaluate the student’s performance and physical fitness level.

Test: A test is a tool used to collect data by which a physical education teacher can assess the physical fitness of their students. In this case, the physical education teacher is using a pedometer to measure the number of steps taken by a student in a 40-minute physical education class. This data can be used as a measure of physical fitness.

Measurement: Measurement is the process of assigning a numerical value to a physical education student’s performance. The pedometer is the tool used to measure the number of steps taken by a student in a 40-minute physical education class. This numerical value serves as an indicator of the student’s physical fitness level.

Evaluation: Evaluation is the process of assessing the physical education student’s performance in relation to the expected performance standards. The teacher will use the numerical data collected by the pedometer to evaluate the student’s performance and physical fitness level. The teacher will then use this information to make changes to the physical education program and to provide feedback to the student.

In conclusion, the physical education teacher is using a pedometer to measure the number of steps taken by a student in a 40-minute physical education class, which can then be used to evaluate the student’s performance and physical fitness level. This is a great example of how test, measurement, and evaluation can be used to assess student performance.

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Answer: Yes.

Step-by-step explanation:

Proportional relationships are relationships between two variables where their ratios are equivalent. In other words, a proportional relationship is one side is always multiplied/divided by the same value. In this case, the value is 2.

Hope this helps!

Answer:$920

Step-by-step explanation:

Step-by-step explanation:

The interest earned is $920.