Answer pls. question in photo

Evaluating this integral will give us the volume of the solid obtained by rotating the given region about the line x = 3.

The volume of the solid obtained by rotating a region enclosed by two curves about a line can be calculated using the method of disks or washers via an integral.

To apply the method, we consider the region between the curves y = x^2 and y = 3x. The line x = 3 acts as the axis of rotation. We want to find the volume of the solid formed by rotating this region.

The method of disks or washers involves dividing the region into infinitely thin slices perpendicular to the axis of rotation. Each slice represents a disk or washer. The volume of each disk or washer is calculated using its radius and thickness.

In this case, we choose the variable x as our integrating variable. The radius of each disk or washer is the distance between the axis of rotation (x = 3) and the corresponding curve. The thickness of each disk or washer is dx, representing an infinitely small change in x.

By integrating the volumes of all the disks or washers over the interval of x values that enclose the region, we can find the total volume of the solid. The integral will involve the square of the radius function and will depend on the limits of integration determined by the intersection points of the curves.

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Answer:

Hello in order to complete this question we need the table. If you give the table I am sure you will get more helpful and accurate information

Step-by-step explanation:

The earnings per share can be calculated as $0.066 per share (rounded to the nearest cent).

a. The earnings per share for Company XYZ can be calculated by dividing the closing price by the P/E ratio. In this case, the closing price is $100.76 and the P/E ratio is 1525. Therefore, the earnings per share can be calculated as $0.066 per share (rounded to the nearest cent).

b. Based on the historical P/E ratio range of 12-14, the stock price of Company XYZ seems overpriced. The P/E ratio indicates the price investors are willing to pay for each dollar of earnings generated by the company. A higher P/E ratio suggests that investors have higher expectations for future earnings growth. In this case, the P/E ratio of 1525 is significantly higher than the historical range of 12-14, indicating that the stock is being valued at a much higher premium relative to its earnings. This suggests that the stock price may be inflated and not in line with the company's historical valuation metrics, indicating an overpriced condition.

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Determine tan(t) if cos(t) = -12/13 and sin(t) = 5/13

tan(t) = \(\frac{-5}{12}\)

Method 1:

The sketch of the trigonometry is attached to this response.

Since cos(t) is negative and sin(t) is positive, then t should be in the second quadrant as shown in the sketch. A triangle is formed.

We know that, in a given triangle, the cosine of a given angle is the ratio of the adjacent side to the hypotenuse side.

i.e

cos (t) = adjacent / hypotenuse = - 12 / 13            

Where;

adjacent = -12                  [the adjacent side is in the -x direction]

hypotenuse = 13

Also, the sine of a given angle is the ratio of the opposite side to the hypotenuse side.

sin (t) = opposite / hypotenuse

Where;

opposite = 5

hypotenuse = 13

These sides - opposite, adjacent and hypotenuse - are labelled in the sketch.

From this triangle and the labels, the tangent can be found.

We know that the tangent of a given angle is the ratio of the opposite side to the hypotenuse side. i.e

tan (t) = opposite / adjacent

Where;

opposite = 5

adjacent = -12

Therefore,

tan (t) = \(\frac{-5}{12}\)

Method 2:

The tangent of an angle is the ratio of the sine of that angle to the cosine of that angle. i.e

tan(t) = sin(t) / cos (t)              ---------------(i)

sin(t) = 5 / 13

cos(t) = -12 / 13

Substitute for sin(t) and cos (t) in equation (i)

tan(t) = [5 / 13] / [-12 / 13]

tan(t) = [5 / 13] x [-13 / 12]

tan(t) = \(\frac{5}{13} * \frac{-13}{12}\)

tan(t) = \(\frac{-5}{12}\)

Answer:

40% of 84 is 33.6

Step-by-step explanation:

5 fands are equivalent to 7.5 wands.

To determine how many wands are equivalent to 5 fands, we can use the given equivalences and set up a proportion.

We are given:

4 wands = 6 rands

24 rands = 8 fands

First, let's convert the given equivalences to a common unit. Since we want to find the equivalence in wands, we need to convert rands to wands.

From the first equivalence, we can rewrite it as:

1 wand = (6/4) rands

1 wand = (3/2) rands

Now, let's convert rands to fands using the second equivalence:

1 fand = (24/8) rands

1 fand = 3 rands

So, we have:

1 wand = (3/2) rands

1 fand = 3 rands

To find how many wands are equivalent to 5 fands, we set up a proportion:

1 wand / 1 fand = x wands / 5 fands

Cross-multiplying, we get:

x wands = (1 wand / 1 fand) * 5 fands

x wands = (3/2) * 5

x wands = 15/2

x wands = 7.5

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The mistake made by Enduro is that he is supposed to divide both sides by -4 instead of adding 4 to each sides

Inequalities are expressions that have unequal values, when compared

The inequality is given as

-4x > 120

When 4 is added to both sides, the inequality becomes

4 - 4x > 120 + 4

The above is not the solution to the inequality.

The solution is as follows:

We have:

-4x > 120

Divide both sides inequality by -4

x < -30

Hence, the mistake made by Enduro is that he is supposed to divide both sides by -4 instead of adding 4 to each sides

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Answer:

12 + -4i

Step-by-step explanation:

14 * (-2i + 6)

-2i (2 + 6i) = -2i * 2 + - 2i * 6i

= -4i - 12i to the power of 2 since (i2 = -1)

= 4i + 12

+12-4i

i's of the form at i6

A=12 and b = -4

Answer:

3000

Step-by-step explanation:

Answer:

Uber: 2x + 10

Lyft: 3x + 8

Step-by-step explanation:

Uber: $10 is basically the charge. $2 is charged for every mile you travel, so if you travel for 2 miles (any number) you multiply that by two then add $10 to it to get the final value.

Lyft: $8 is the initial value. And for every mile, you get charged $3 for it  

Answer:y= 2x+ 10

y=3x+8

Step-by-step explanation:

Every mile you travel is the slope. The flat fee for getting picked up is the y-intercept.

Answer:

Option B

Step-by-step explanation:

Yes verified

Answer:

-9x

Step-by-step explanation:

Answer:

-9x

Step-by-step explanation:

4x-12x-x

taking 'x' as common variable from three expressions,

x(4-12-1)

x.(-9)

-9x is the answer

Answer:

7r

Step-by-step explanation:

because 7r is 7(r)

An isosceles acute triangle is a triangle with at least two equal angles and three angles that are all less than 90 degrees. 50°, 50°, and 80° are three examples of the angles that make up an isosceles acute triangle.

Every triangle has 180 degrees. An isosceles triangle has one vertex angle and two congruent base angles. Thus the vertex angle is 38 and the base angle is 71 and their sum is 109.

The triangles 45/45/90 are always isosceles. This indicates that two of the triangle's legs are congruent. Which two sides of the figure are congruent is shown. The Pythagorean Theorem can be used to determine the hypotenuse's length from this point.

This is an isosceles right triangle. The other triangle is named a 30-60-90 triangle, where the angles in the triangle are 30 degrees, 60 degrees, and 90 degrees.

Therefore,

An isosceles acute triangle is a triangle with at least two equal angles and three angles that are all less than 90 degrees. 50°, 50°, and 80° are three examples of the angles that make up an isosceles acute triangle.

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To check the if a table represents a linear function we have to find the rate of change between the first two ordered pairs can be compared to the rate of change between the first and last ordered pairs to see if they are the same.

Well, a straight line is proportional to a linear function (on a graph). And the answers to the numbers can't be the same. If the X input is 5, for instance, and the Y output is 7, then Another non-linear X input of 5 and Y output of 8 follows.

The terms "linear function" in mathematics apply to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.

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The probability of flipping a heads on the coin and rolling a 5 on the die is 1/12 if a coin is flipped and die is rolled once.

The sample space for the coin toss is  {H,T}, so there are two possible outcomes. The favorable one is  H.

The probability of flipping a heads on the coin is equal to 1/2.

Die has six faces, meaning six possible outcomes, but we’re only interested in one of those outcomes: that roll of a 5. That means that only 1 in 6 outcomes is desirable and we can write it as  1/6

The probability of rolling a 5 on the die is equal to 1/6.

Since a coin is flipped and die is rolled independently, the joint probability is a product of above probabilities.

Therefore, the probability of flipping a heads on the coin and rolling a 5 on the die equals

\(\frac{1}{2} \times \frac{1}{6}\\= \frac{1}{12}\)

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a.) The percentage of scores that are greater than 72 = 45%

b.) The percentage of scores that are less than or equal to 75 = 75%

The total number of scorers in the recent Intro stats quiz = 20

The number of scores that are greater than 72 = 9

The percentage of scores that are greater than 72;

= 9/20 × 100/1

= 900/20

= 45%

The number of scores that are LESS THAN OR EQUAL to 75 = 15

The percentage of scores that are LESS THAN OR EQUAL to 75;

= 15/20 ×100/1

= 1500/20

= 75%

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Answer:

$1.49x + $1.25y = $100

Barbara wrote the iced tea as only bottle.

Step-by-step explanation:

x=tea bottles

y=water bottles

$1.49x + $1.25y = $100

Hope this helps! :)

pls mark brainiest

Answer:

Step-by-step explanation:

barbara did not put a multiplication sign she put a plus sign and also did not put the $ sign

Step-by-step explanation:

47kg of potatoes is $517

That means 1kg of potatoes is 517/47 = $11.

$154 / $11 = 14.

Hence with $154, you can get 14 kilograms of potatoes.

Answer:

2/19

Step-by-step explanation:

Rewrite the mixed number as an improper fraction. Frist, multiply 2x8 then add that to 3 to get 19/8. Now you have 1/4 / 19/8. Multiply by the reciprocal of the denominator. Now you have 1/4 x 8/19. 1 x 8 = 8. 4 × 19= 76. This gives you 8/76. You can simplify this by dividing the numerator and denominator by 4. This would give you 2/19.

Step-by-step explanation:

it dropped to Celsius degree

Answer:

The best chart to show how your department's expenses compare to the total company's expenses, and hopefully save employee jobs, would be:

Pie Chart

Step-by-step explanation:

Out of the 500 teenagers sampled at random, the table presents their preferences in terms of favorite movie genres. To estimate the number of teenagers out of a population of 3,000 who prefer action movies, we can use the proportion of action movie fans from the sample.

Let's say the table shows that "x" out of the 500 sampled teenagers prefer action movies. To find the proportion of action movie fans in the sample, we divide the number of action movie fans by the total number of teenagers in the sample:

Proportion of action movie fans = (x / 500)

Now, we can use this proportion to estimate the number of teenagers who prefer action movies in the entire population of 3,000 teenagers. To do this, multiply the proportion of action movie fans by the total population:

\(Estimated action movie fans = Proportion of action movie fans * Total population\)

Estimated action movie fans = (x / 500) * 3,000

By calculating this value, we can estimate the number of teenagers in the population of 3,000 who will prefer action movies based on the results of the random sample.

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The correct option is A) No, because the center of a distribution and the spread are not related

The standard deviation is a measure of the spread or dispersion of a set of data. It is not directly related to the mean or average of the data.

The standard deviation is calculated based on the deviations of each data point from the mean, taking into account how many data points there are.

The mean does not affect the calculation of the standard deviation, as the formula for standard deviation is based solely on the data itself and not on any summary statistics like the mean.

The value of the standard deviation can remain the same even if the mean changes, and conversely, the mean can change without affecting the standard deviation.

Thus, option A) No, because the center of a distribution and the spread are not related is correct.

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Answer:

THE ANSWER IS -7.5 .

Step-by-step explanation:

-6+5÷-2+1

-6-2.5+1

-6-1.5

-7.5

The answer is -9.5, as we will apply the rule of "BODMAS."

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The derivative dy/dx of the equation ysin(x^2) = xsin(y^2) is given by (sin(y^2) - ycos(x^2)2x) / (sin(x^2) - 2yxcos(y^2)).

In the given equation, y and x are both variables, and y is implicitly defined as a function of x. To find dy/dx, we differentiate each term using the chain rule and product rule as necessary.

Differentiating the left-hand side of the equation, we apply the product rule to ysin(x^2). The derivative of ysin(x^2) with respect to x is dy/dxsin(x^2) + ycos(x^2)*2x.

Differentiating the right-hand side of the equation, we apply the product rule to xsin(y^2). The derivative of xsin(y^2) with respect to x is sin(y^2) + x*cos(y^2)2ydy/dx.

Now we have two expression for the derivative of the left and right sides of the equation. To isolate dy/dx, we can rearrange the terms and solve for it.

Taking the derivative of ysin(x^2) = xsin(y^2) with respect to x using implicit differentiation yields:
dy/dxsin(x^2) + ycos(x^2)2x = sin(y^2) + xcos(y^2)2ydy/dx.

By rearranging the terms, we can solve for dy/dx:
dy/dx * (sin(x^2) - 2yxcos(y^2)) = sin(y^2) - y*cos(x^2)*2x.

Finally, we can obtain the value of dy/dx by dividing both sides by (sin(x^2) - 2yxcos(y^2)):
dy/dx = (sin(y^2) - ycos(x^2)2x) / (sin(x^2) - 2yxcos(y^2)).

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Answer:

Step-by-step explanation:

Decrease rate is 4%

The equation for this situation is

The fish population in 2009

Correct choice is A

Answer:

\(\textsf{A:} \quad y = 1150(0.96)^t\)

      2009 = 938

Step-by-step explanation:

Exponential Function

General form of an exponential function:

  \(y=ab^x\)

where:

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

If the rate of decrease is 4% per year, that means that each year the number of fish is 96% of the previous year, since 100% - 4% = 96%

Given:

Substitute the given values into the exponential equation:

\(\implies y=1150(0.96)^t\)

If the initial year was 2004 then:

⇒ t = 2009 - 2004 = 5

Substitute t = 5 into the equation and solve for y:

\(\implies y=1150(0.96)^5\)

\(\implies y=937.6786022...\)

Therefore, the population in 2009 was 938 (to the nearest whole number).

the inequality that shows the values of x for which the expression is defined √x-2•√x+3 is √x-2≤4 and √x+3≤-9

p ≠ q means that p is not equal to q

p < q means that p is less than q

p > q means that p is greater than q

p ≤ q means that p is less than or equal to q

p ≥ q means that p is greater than or equal to q

Therefore, √x-2≤4 and √x+3≤-9

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