Calculus. Draw the graph of a cubic polynomial. Question1
Sketch the graph of x^3-4x^2-11x+30​

Answer option C: Convention currents in the mantle.

Answer:

a: Represents the number of equal parts parts the circle is divided

b: Represents the measure of the central angle of each part.

(I hope this helps!!)

Answer:

a: Represents the number of equal parts parts the circle is divided

b: Represents the measure of the central angle of each part.

Step-by-step explanation:

Answer:

9000

Step-by-step explanation:

Therefore , the solution of the given problem of population is . Sample - The 400 clients that the insurance company included in this study

In common parlance, a population is a distinct group of people who share a common citizenship, identity, or set of traits. A population is a sampling that is typical of a broader group of individuals (or even objects) that share one or more variables characteristics.

Here,

A party promises to reimburse another party in exchange for a fee in the case of a certain loss, damage, or injury as a way of financial loss protection. It is a method of risk management that is primarily employed to protect against the risk of a potential loss.

a. Parameter - The average health care cost each year for all of the insurance company's clients

b. Population - All of the insurance company's clients

c. Sample - The 400 clients that the insurance company included in this study

d. Statistic - The average health care costs each year for the 400 clients that the insurance company included in this study

e. Data - The list of the 400 annual health care costs for the clients that the insurance company includes in the study

f. Variable - The cost each year for health care

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Answer:

Using the equation y = abx , substitute both of your given points into that equation.

 2 = ab2 and 4 = ab3   Solve each equation for a.

 2⁄b2    and 4⁄b3 = a    

Therefore, 2⁄b2 = 4⁄b3

Cross multiply: 2b3 = 4b2    

Divide both sides by b2

 2b = 4      

a = 2/4 = 1/2

b = 2

 y = 1 (2)x

2

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9514 1404 393

Answer:

  y = (1/4)4^x

Step-by-step explanation:

In general, you can use a 2-point form to write the exponential function for points (x1, y1) and (x2, y2) as ...

  y = y1·(y2/y1)^((x -x1)/(x2 -x1))

Using the given points, this becomes ...

  y = 4·(16/4)^((x -2)/(3 -2)) = 4·4^(x-2)

We can eliminate the exponent arithmetic by making use of a couple of rules of exponents.

  y = 4·(4^x)(4^-2) = (4^-1)(4^x)

  y = (1/4)(4^x)

Answer:

yes

Step-by-step explanation:

The radius of the cylinder is equal to 10 feet.

In Mathematics and Geometry, the volume of a cylinder can be calculated by using the following formula:

Volume of a cylinder, V = πr²h

Where:

By substituting the given parameters into the formula for the volume of a cylinder, we have the following;

V = πr²h

1,570 = 3.14 × r² × 5

1,570 = 15.7r²

r² = 1,570/15.7

r² = 100

Radius, r = √100

Radius, r = 10 feet.

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Answer:

Step-by-step explanation:

4x+2y<3

y<-2x + \(\frac{3}{2}\)

Answer:

Slope: -7

y-intercept: (0, -9)

Step-by-step explanation:

The correct statement that F: "I agree. The ratios of consecutive x-values are constant, and the y-values are increasing at a constant rate."

To determine whether the function shown in the table is exponential, we need to analyze the relationship between the x-values and y-values.

The table shows x-values that are increasing by a power of 2 (1, 2, 4, 8, 16, 32, 64) and y-values that are increasing by a constant rate of 1 (0, 1, 2, 3, 4, 5, 6).

The constant ratio between consecutive x-values indicates exponential growth or decay.

In this case, the function is growing exponentially because the y-values are increasing at a constant rate.

Based on this information, we can conclude that the function is exponential.

Therefore, we agree with statement F: "I agree. The ratios of consecutive x-values are constant, and the y-values are increasing at a constant rate."

The other statements are incorrect because they do not accurately describe the relationship between the x-values and y-values in an exponential function.

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Answer:

if you meant (b+3)+(2^b-2), the answer is b+1+2^b

Step-by-step explanation:

but if you meant (b+3)+(2b-2), the aanswer is 3b+1

Answer:

3b+1

Step-by-step explanation:

(b+3)+(2b-2)

b+3+2b-2

3-2

b+1+2b

b+2b

3b+1

Answer:

11

if you eat 1 out of 12 you get 11

Answer:

\(3.567 \times 10^3\)

Step-by-step explanation:

\(2.2 \times 10^2 +3.3 \times 10^3+4.7 \times 10 \\ \\ =22 \times 10+330 \times 10 +4.7 \times 10 \\ \\ =356.7\times 10 \\ \\ =3.567 \times 10^3\)

Answer:

1/6

Step-by-step explanation:

I just did the problem myself! Photo evidence included!

The median will be greater than the mean in a left-skewed distribution

We have,

In statistics, skewness is a measure of the asymmetry of a probability distribution around its mean.

A distribution is said to be skewed left if it has a long tail on the left side and the bulk of the data is on the right side.

When the data is skewed left, it means that the distribution is being pulled towards the left side.

This is because there are a few extreme values on the left side that are pulling the mean in that direction.

In contrast, the median is the middle value of the dataset, and it is not influenced by outliers.

For a left-skewed distribution,

The median will be greater than the mean because the mean is being pulled towards the left by the few extreme values.

In a data distribution that is skewed left, the mean will be less than the median.

This is because the mean is sensitive to outliers and is pulled towards the direction of the skewness, while the median is not affected by extreme values and is a more robust measure of central tendency.

Therefore,

The median will be greater than the mean in a left-skewed distribution

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\(\huge\mathfrak\pink{Answer}\)

answer is 1800°

From the sale of 90 items, 400 items and 720 items rank from smallest to largest the amount of profit received 90 items, 720 items and 400 items. So the option b is correct.

In the given question, the graphs of a company's total revenue function and total cost function are shown.

At the unit 90 there is negative profits, the total cost is greater than the total cost. The profit is the largest where the gap between the total cost and total revenue curves are at the highest. The firm earns the largest profit when the firm is producing the 400 units. As the firm moves to the 720 units the profits declines.

The profit is found out bu deducting the total revenue from the total cost.

Profit = TR-TC

Hence, from the sale of 90 items, 400 items and 720 items rank from smallest to largest the amount of profit received 90 items, 720 items and 400 items. So the option b is correct.

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The right question is given below:

Answer: no solution

Step-by-step explanation:

Answer:

  30 ft

Step-by-step explanation:

The Pythagorean theorem can be used to find the length of the unknown side. It tells you the sum of the squares of the legs is equal to the square of the hypotenuse.

  12² +a² = 13²

  a² = 169 -144 = 25

  a = √25 = 5

The sum of the side lengths is ...

  (12 +5 +13) ft = 30 ft

The perimeter is 30 feet.

The value of the unknown angle x would be 43 degrees.

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

We have been given a right-angle triangle with a perpendicular side of 6 units and a hypotenuse of 10 units.

The unknown angle is x which needs to find.

Therefore, applying trigonometry;

Sin x = perpendicular/hypotenuse

Sin x = 6/10

Sin x = 3/5

Sin x = 0.6

x = Sin inverse (0.6)

x = 43 degrees.

Hence, the value of the unknown angle x would be 43 degrees.

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The incorrect statement is:

B. The three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x < 6.

In the given statement, there is an error in the inequality. The correct statement should be:

The three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x and 5 - x < 6.

When solving the three-part inequality - 5x < 15x^2 < 3, we need to split it into two separate inequalities. The correct splitting should be:

- 5x < 15x^2 and 15x^2 < 3

Simplifying the first inequality:

- 5x < 15x^2

Dividing by x (assuming x ≠ 0), we need to reverse the inequality sign:

- 5 < 15x

Simplifying the second inequality:

15x^2 < 3

Dividing by 15, we get:

x^2 < 1/5

Taking the square root (assuming x ≥ 0), we have two cases:

x < 1/√5 and -x < 1/√5

Combining these inequalities, we get:

- 5 < 15x and x < 1/√5 and -x < 1/√5

Therefore, the correct statement is that the three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x and 5 - x < 6, not - 6 ≤ 5 - x < 6 as stated in option B.

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Answer:

rational

Step-by-step explanation:

The actual distance will be 4000 miles.

According to the question,

We have the following information:

The legend on a map states that 1 inch is 500 miles.

So, this statement can be rewritten in the form of following expression:

1 inch = 500 miles

Now, in order to find the actual distance for 8 inches, we will multiply the distance in 1 inch with 8.

(More to know: measurements like this are used in daily life to find the actual distance between two places.)

So, we have the following expression:

8 inches = 500*8 miles

8 inches = 4000 miles

Hence, the actual distance will be 4000 miles if it measures 8 inches on the map.

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No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.

According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.

If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.

Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.

However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.

Therefore,  if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.

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Answer:

85 CMS

Step-by-step explanation:

Mean average means total height divided by no. Of persons.

So here total weight = 150+170+140+155+ X = 615+X

No. Of persons = 5

Average = total-height / no. Of persons

150 =, (615+X) / 5

150 * 5= 615+X

750=615+X

So, X= 750-615

X= 85 cm

Total water bill for the month is $62.37.

It seems that you may have accidentally left out the total amount of your water bill.

The total amount by simply adding the amounts of the individual bills together:

Total water bill =\($36.34 + $26.03\)

= \($62.37\)

You have not provided enough information to determine your total water bill.

You have only given the amounts of your individual bills from Metro Water Services and Madison Suburban Utility District.

To find your total water bill, you simply need to add the two bills together.

So, the total amount you owe for water this month would be:

Total water bill = \($36.34 + $26.03\)

= \($62.37\)

It appears that you may have forgotten to include the full amount of your water bill by accident.

Simple addition of the separate bill amounts yields the following sum:

Water bill total = \($36.34 + $26.03\)

= \($62.37\)

Your total water bill cannot be calculated because not enough information has been given.

Only the amounts of your individual Metro Water Services and Madison Suburban Utility District bills have been provided.

You just need to combine the two invoices together to get your total water bill.

As a result, this month's total water bill for you would be:

Water bill total =  \($36.34 + $26.03\)

= \($62.37\)

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Answer:

1 is 45. 14 is 90

Step-by-step explanation:

Answer:

-27

Step-by-step explanation:

(-243)^3/5

We know that a^b^c = a^ (b*c)

(-243) ^ 1/5 ^3

We know (-243) ^ 1/5 = -3

(-3) ^3 = -27