Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about the x-axis.
x = 5 + y2, x = 0, y = 2, y = 3

The exact value of the trigonometric function cos ( u - v) in the second quadrant is equal to cos ( u - v ) = 56 / 65.

In the second quadrant,

Trigonometric function sine is always positive.

And trigonometric function cosine is always negative.

Here value of trigonometric function

sin u = 5 / 13

cos v = -3 /5

cos u = √ 1 - sin² u

⇒ cos u = √ 1 - ( 5 / 13 )²

⇒ cos u = √ 144/169

⇒ cos u = -12 / 13

And

sin v = √ 1 - cos² v

⇒ sin v = √ 1 - ( -3/5 )²

⇒ sin v = √ 16/25

⇒ sin v = 4 / 5

Now exact value of trigonometric function

cos ( u - v ) = cos u cos v + sin u sin v

Substitute the value we get,

⇒ cos ( u - v ) = (-12/13)(-3/5) + ( 5/13)(4/5)

⇒ cos ( u - v ) = 36 / 65 + 20 / 65

⇒ cos ( u - v ) = 56 / 65

Therefore , the value of the trigonometric function cos ( u - v ) = 56 / 65.

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The above question is incomplete, the complete question is:

Find the exact value of the trigonometric function cos(u - v) .

Given that sin u 5/13 and cos v -3/5. (Both u and v are in Quadrant II.)

Two stockpots are similar cylinders. The smaller stockpot has a height of 10 inches and a radius of 2.5 inches, the volume of larger one is 628.32 cubic inches.

We know that, to find volume:

Volume = π * \(r^2\) * h

For the smaller stockpot:

Radius (r) = 2.5 inches

Height (h) = 10 inches

Volume = π * (2.5)² * 10 ≈ 196.35 cubic inches

For the larger stockpot:

Radius (r) = 2.5 inches

Height (h) = 16 inches

Volume = π * (2.5)² * 16

             ≈ 628.32 cubic inches

Thus, the volume of larger one is 628.32 cubic inches.

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The total cost of chocolate sprinkles is $800

This is an implementation of the numeral system that shows the value of each digit in a number using their positions

From the complete question, we have the following parameters:

So, the total cost of chocolate sprinkles is calculated using the following formula

\(Unit = \frac{Total}{Pounds}\)

This gives

\(\$8.00= \frac{Total}{100}\)

Multiply both sides of the equations by 100

\(Total = \$8.00 \times 100\)

\(Total = \$800\)

Hence, the total cost of chocolate sprinkles is $800

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the graph shows a line segment from (0,0) to (0.25,1.25) to represent the first running period, followed by a horizontal line segment from (0.25,1.25) to (0.5,1.25) to represent the stretching time, then a line segment from (0.5,1.25) to (0.8,2.4) to represent the second running period, followed by another horizontal line segment from (0.8,2.4) to (1,2.4) to represent the resting time.

What is the line segment of the graph?

In geometry, a line segment is part of a straight line that is bounded by two distinct end points and contains every point on the line that is between its endpoints.

The graph that describes the relationship between the runner's total distance & time is:

graph with the x-axis labeled time in hours and the y-axis labeled total distance in miles, with a line segment from 0,0 to 0.25,1.25, a horizontal line segment from 0.25,1.25 to 0.5,1.25, a line segment from 0.5,1.25 to 0.8,2.4, and a horizontal line segment from 0.8,2.4 to 1,2.4.

The runner ran for a total of 35 minutes, which is 0.5833 hours (15 minutes + 20 minutes). During this time, the runner covered a distance of 2.4 miles (45 mph * 0.25 hours + 60 mph * 0.3333 hours).

After adding the time spent stretching and resting, which is 0.5 hours, the total time is 1 hour, and the total distance covered is still 2.4 miles since the runner did not move during the stretching and resting time.

Therefore, the graph shows a line segment from (0,0) to (0.25,1.25) to represent the first running period, followed by a horizontal line segment from (0.25,1.25) to (0.5,1.25) to represent the stretching time, then a line segment from (0.5,1.25) to (0.8,2.4) to represent the second running period, followed by another horizontal line segment from (0.8,2.4) to (1,2.4) to represent the resting time.

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Answer:

i might be wrong but hope this helps

Step-by-step explanation:

the graph shows a line segment from (0,0) to (0.25,1.25) to represent the first running period, followed by a horizontal line segment from (0.25,1.25) to (0.5,1.25) to represent the stretching time, then a line segment from (0.5,1.25) to (0.8,2.4) to represent the second running period, followed by another horizontal line segment from (0.8,2.4) to (1,2.4) to represent the resting time.

What is the line segment of the graph?

In geometry, a line segment is part of a straight line that is bounded by two distinct end points and contains every point on the line that is between its endpoints.

The graph that describes the relationship between the runner's total distance & time is:

graph with the x-axis labeled time in hours and the y-axis labeled total distance in miles, with a line segment from 0,0 to 0.25,1.25, a horizontal line segment from 0.25,1.25 to 0.5,1.25, a line segment from 0.5,1.25 to 0.8,2.4, and a horizontal line segment from 0.8,2.4 to 1,2.4.

The runner ran for a total of 35 minutes, which is 0.5833 hours (15 minutes + 20 minutes). During this time, the runner covered a distance of 2.4 miles (45 mph * 0.25 hours + 60 mph * 0.3333 hours).

After adding the time spent stretching and resting, which is 0.5 hours, the total time is 1 hour, and the total distance covered is still 2.4 miles since the runner did not move during the stretching and resting time.

Therefore, the graph shows a line segment from (0,0) to (0.25,1.25) to represent the first running period, followed by a horizontal line segment from (0.25,1.25) to (0.5,1.25) to represent the stretching time, then a line segment from (0.5,1.25) to (0.8,2.4) to represent the second running period, followed by another horizontal line segment from (0.8,2.4) to (1,2.4) to represent the resting time.

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Answer:

Step-by-step explanation:

The domain and range of a linear function is always real numbers (T or F)

It is True. This is because of a couple of reasons.

    1.) You cannot divide by 0.

     2. A negative number cannot have its square root taken.

The range is determined by the domain in a linear function, and thus it must always consist of real numbers.

Answer:

4 ancores and 4 flotes.

Step-by-step explanation:

:1

we get the value of expression | a³ - b³ | as 35 when a = 2 and b = -3.

We are given an expression:

a³ - b³

The absolute value of the expression will be:

| a³ - b³ |

Now, we have a = 2 and b = - 3

So, substituting the values in the expression, we get that:

| a³ - b³ |

| ( 2 ) ³ - ( - 3 )³ |

| 8 - ( - 27 ) |

| 8 + 27 |

= | 35 |

= 35

Therefore, we get the value of expression | a³ - b³ | as 35 when a = 2 and b = -3.

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Answer:

3 miles per hour

Step-by-step explanation:

Answer:

3 miles per hour

Step-by-step explanation:

3 miles per hour bc i just know that it is

Trawler B should take a course that is 18 degrees east of north.

In order to intercept Trawler A, Trawler B must travel in a direction that will bring it closer to Trawler A. Since Trawler A is traveling due west, Trawler B must travel in a direction that is east of north. The angle that is 18 degrees east of north will bring Trawler B closest to Trawler A.

Here are the steps to find the course that Trawler B should take:

Draw a diagram of the situation.

Label the two trawlers A and B.

Draw a line representing the direction that Trawler A is traveling.

Draw a line representing the direction that Trawler B should travel.

Measure the angle between the two lines.

The angle between the two lines will be 18 degrees. Therefore, Trawler B should take a course that is 18 degrees east of north.

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Our vertex has an x-coordinate of 0, so the axis of symmetry for our function is x = 0. Now, let's consider the zeros of our function. Graphically, the zeros of a function are the x-coordinates of the points where the function crosses the x-axis. This occurs where y = 0.

Answer:

430

Step-by-step explanation:

The "product" means multiply

215*2=430 or you can break it up:

215+215=430

Answer: 430

→Hope this helps!←

Step-by-step explanation:

7 cups of apple juice + 3 cups of pineapple juice = 11

40-11 =29

You need 29.

You need 10 cups of pineapple juice to make 40.

You need 6 cups of apple juice to make 40.

Using the pattern, n can represent the the increase of dots according to step.

In the given question we have to find what values make sense for n in this situation.

n is representing the number.

As we can see that there is a pattern given.

In the step 1 have 1 dot, in step 2 have 3 dots, in step 3 have 6 dots and in step 4 have 10 dots.

So if we see the pattern then according to number of step the dots increasing accordingly.

As In step 1 have 1 dot, in step 2, 2 dots increase, in step 3, 3 dots increase and in step 4, 4 dots increase.

So, n can represent the the increase of dots according to step.

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Answer:

p = 8

Step-by-step explanation:

Divide -5 to both sides

-5p = -40

5p = 40

p = 8

So p = 8

Answer:

-1/2

Step-by-step explanation:

i used my calculator. i cant really give a explanation

Step-by-step explanation:

the answer is b because the circle is filled with color as it should be and shows that x is equally to number 3 too

Answer:

yep, it's b.

Step-by-step explanation:

a line with a closed circle means that it's less than or equal to.

Answer:

y = 30 + 3.25c

(where y is the total cost in dollars, and c is the number of balloon bouquets)

Step-by-step explanation:

Let y = total cost (in dollars)

Let c = number of balloon bouquets

Given:

⇒ y = 30 + 3.25c

Y inetercept:-

Rate of change=3.25

So

Cost be Y

The daily percentage rate (DPR) for the given Annual Percentage Rate (APR) on credit card is 17.8% is equal to 0.048%.

Given the Annual Percentage Rate (APR) on credit card is 17.8%.

Now, we need to find the daily percentage rate (DPR) for the given yearly percentage on credit card.

To find your current annual percentage rate, look at your monthly statements. To determine the daily percentage rate (DPR), divide the annual percentage rate (APR) by 365 (the number of days in a year).

So, given APR = 17.8%

Now, daily percentage rate will be:

⇒ Daily percentage rate = Annual Percentage Rate ÷ 365

⇒ DPR = APR / 365

⇒ DPR = 17.8% ÷ 365

⇒ DPR = 0.048%

Therefore, daily percentage rate (DPR) is equal to 0.048%.

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Answer: 3 11/12

Step-by-step explanation:

Rewrite the equation with the parts seperated:

4 + 2/3 − 3/4

Find the LCD of 2/3 and 3/4

(Which is 12)

Keep going

8/12−9/12= −1/12

Finally, subtract 4 − 1/12 to get 3 11/12

Hope this helps!

Whole numbers are natural numbers, and natural numbers do not include negatives, decimals, fractions, or roots, so all whole numbers can indeed satisfy the inequality.

Answer:

Please re word your question.

Step-by-step explanation:

It seems that the scan system has tripped up your question please repost!

Answer:

it is B

Step-by-step explanation:

Which of the following expressions represents the distance between \dfrac52

2

5

​

start fraction, 5, divided by, 2, end fraction and 4\dfrac{7}{8}4

8

7

​

4, start fraction, 7, divided by, 8, end fraction on a number line

The value of x in the triangles are 9.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

The triangles are congruent.

That means, their corresponding angles are also congruent.

In ΔJKL,

the sum of all the angles of the triangle is 180°.

So,

x²-2x + x + 29 + 3x + 52 = 180

x² + 2x - 99 = 0

Solving the quadratic equation,

x² +11x - 9x - 99 = 0.

x (x + 11) -9 (x + 11) = 0

x = 9 and x = -11

Here, we take x = 9.

Therefore, the value of x is 9.

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Answer:

9

Step-by-step explanation:

8+4-3=9

im pretty sure 8+4-3=9

Answer:

42 m

Step-by-step explanation:

First, find <S

<S = 180 - (41+113) [ sum of angles in a triangle)

<S = 180 - 154 = 26°

Next is to find length of ST, using the law of sines: a/sin A = b/sinc B = c/sin C

Let a = RT = 28m

A = <S = 26°

b = ST

B = <R = 41°

Thus, we have:

28/sin(26°) = b/sin(41°)

Cross multiply

28*sin(41°) = b*sin(26°)

28*0.6561 = b*0.4384

18.3708 = b*0.4384

Divide both sides by 0.4384 to make b the subject of formula

18.3708/0.4384 = b

41.9041971 = b

b ≈ 42m (rounded to nearest meter)

Length of ST to nearest meter = 42 meters

D 8m = 48

divide by 8 both sides so we can isolate m

answer

m= 6

y = 1/2x + 1 is the line's equation in slope-intercept form.

The equation of a line in slope intercept form is expressed as y = mx + b where:

m is the slope

b is the y-intercept

Given the following coordinate points (4, 3) and (0, 1), the slope is calculated as:

Slope = 1-3/0-4
Slope = -2/-4
Slope = 1/2

For the y-intercept, it is the point where the x-coordinate is zero, hence the y-intercept if (0, 1)

Determine the required equation
y = mx + b

y = 1/2x + 1

Hence the equation of the line in slope-intercept form is y = 1/2x +1

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Answer:

1.26

Step-by-step explanation:

1.08 to the third power is \(1.08^{3}\).

In simple terms, it means 1.08 x 1.08 x 1.08.

Do the math 1.259712.

1.26 if you round to the hundredths.

Answer:

x=28

Step-by-step explanation:

saw it on another question similar to yours

Answer :

The answer is correct  X=28

Step-by-step explanation:

verified it on edge got it correct .