Find the flux of the vector field F across the surface S in the indicated direction.
F = 2x 2 j - z 4 k; S is the portion of the parabolic cylinder y = 2x 2 for which 0 ≤ z ≤ 4 and -2 ≤ x ≤ 2; direction is outward (away from the y-z plane)
a)-128/3
b)128/3
c)-128
d)128

Answer:

A

Step-by-step explanation:

They are all straight paths with end points but a line is never ending  but it is still two dimensional

Answer:

D - Are One dimensional

Step-by-step explanation:

Line , Line segments and Ray's are all one dimensional objects

Using the given conditions that sin(20) = cos(2u) = tan(24) = 3, we can find the exact values of sin(2u), cos(2u), and tan(2u) using the double-angle formulas. By substituting the known values into the formulas, we can determine the exact values of these trigonometric functions.

Given sin(20) = 3, we can use the double-angle formula for sine to find sin(2u).

The double-angle formula for sine is sin(2u) = 2sin(u)cos(u). We know that sin(u) = -3/5, so we can substitute this value into the formula to calculate sin(2u).

Therefore, sin(2u) = 2(-3/5)(cos(u)).

Given cos(2u) = 3, we can use the double-angle formula for cosine to find cos(2u).

The double-angle formula for cosine is cos(2u) = cos^2(u) - sin^2(u). Since we already know sin(u) = -3/5 and cos(u) can be calculated using the Pythagorean identity (cos^2(u) = 1 - sin^2(u)), we can substitute these values into the formula to determine cos(2u).

Finally, given tan(24) = 3, we can use the double-angle formula for tangent to find tan(2u).

The double-angle formula for tangent is tan(2u) = (2tan(u))/(1 - tan^2(u)). By substituting the known value of tan(24) = 3 into the formula, we can calculate the exact value of tan(2u).

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Answer:  70

Step-by-step explanation:

Antoine's elevation when he is halfway to the top is 70. You cut the diameter (120) in half which gets you 60 and you add the height of the stand holding the wheel (10) which gets you 70.

The his or her elevation should be 70.

Since the diameter is 120 And, elevation of Antoine should be halfway to the top so here we split the diameter into half i.e. half of 120 is 60 and there is the height for stand holding the wheel i.e. 10

So, the elevation should be

= 60 + 10

= 70

Therefore, The his or her elevation should be 70.

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When the above is simplified using Boolean Algebra, we have F = x' + y' + w'xy.

We can simplify  the Boolean function F = xy'z' + xy'z+ w'xy +   w'x'y' + w'xy using the following Boolean Algebra rules.

Absorption - x + xy = x

Commutativity -  xy = yx

Associativity - x(yz) = (xy)z

Distributivity - x(y + z) = xy + xz

Using the above , we   have

F = xy'z' + xy'z+ w'xy + w'x'y' +   w'xy

= xy'(z + z') + w'xy(x + x')

= xy' +  w'xy

= (x' + y)(x' + y')  + w'xy

= x' + y' + w'xy

This means that the simplified expression is F = x' + y' + w'xy.

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Answer:

the number is 20

Step-by-step explanation:

Denote the number as "x",

write out the problem:

(1/2(x)) + 4 = x - 6

inverse operations

(1/2(x)) + 4 = x - 6

           +6        +6

(1/2(x)) + 10 = x

-(1/2(x))           -(1/2(x))

10 = ((1/2)x)

*2       *2

20 = x

Answer:                B.  $238.65

To find the interest earned in one year, multiply the principal with the interest rate.

Step-by-step explanation:

Interest is money that the bank pays Giovanni for keeping money in his savings account.

We will use this formula for calculating the interest earned:

\(A = Prt\)

'A' is the amount of interest earned.

'P' is principal, which is the starting amount of money in the savings account.

'r' is the annual interest rate in decimal form.

't' is the time in years.

We have the interest rate per year in percentage form. To convert a number from a percentage to a decimal, divide the percentage by 100.

r = 3.7% ÷ 100

r = 0.037

We have the numbers for 'P', 'r', and 't':

P = 6,450

r = 0.037

t = 1

We are looking for 'A', which is the interest earned.

A = Prt                                Start with the interest formula.

A = 6,450 × 0.037 × 1        Substitute known variables.

A = 6,450 × 0.037             Since time is only 1 year, simplify.

A = 238.65                        Interest earned in one year

Therefore, he will earn $238.65 in interest in one year.

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Answer:

4187 ft³

Step-by-step explanation:

\(\frac{4}{3}\)πr³

π = 3.14

r = radius

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

diameter = 2r

Radius = 20 / 2 = 10 feet

(4/3) x 3.14 x 10³ = 4187 ft³

Answer:

  C) never

Step-by-step explanation:

It means the system of equations is true for all values of the variables that satisfy one of the equations. The other equation is identical, so any values that satisfy the first equation will also satisfy the second equation.

There will be an infinite number of solutions. There will never be no solution.

__

Example:

  x + y = 4

  -x -y +4 = 0

Adding the two equations gives ...

  (x +y) +(-x -y +4) = (4) + (0)

  4 = 4

The solutions to this system are all values of x and y such that x+y=4. There are an infinite number of such solutions.

Answer:

Option C

Kindly award branliest

Step-by-step explanation:

Tn = n(n + 1)

T1 = 1(1 +1) = 1(2) = 2

T2 = 2(2+1) = 2(3) =6

T3 = 3(3 + 1) = 3(4) = 12

T4 = 4(4 + 1) = 4(5) = 20

... It obeys

Time taken to inflate the balloon to two-thirds of its maximum volume is 16 minutes.

Given the diameter of the balloon = 55 ft

Let r be the radius of the balloon. Then r = 55/2 = 27.5 ft

Rate of change of radius = 1.5 ft/min.

The maximum volume of the balloon = \(\frac{4}{3}\pi r^3\) = \(\frac{4}{3}\times3.14\times 27.5^3\)

                                                              = 87069.583 \(ft^3\)

Two- thirds of the volume = (2/3) x 87069.583 = 58046.389  \(ft^3\)

Let R be the radius of the balloon with two-thirds of its maximum volume.

Then, \(\frac{4}{3}\pi R^3\) =  58046.389

⇒          \(R^3=\frac{3}{4\times3.14}\times 58046.389\) = 13864.583

⇒            \(R=13864.583^\frac{1}{3}\)

⇒           R = 24.023 ft

Now time taken to inflate balloon to the two-third of the maximum volume = 24.023/1.5 = 16 minutes approximately.

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Answer:

A) 16 minutes

Step-by-step explanation:

Hope this helps! Pls give brainliest!

The volume of a stack of 9 books is 1368.75 cubic inches.

To find the volume of a stack of 9 books, we first need to find the height of the stack. Since each book is 3/4 inch thick, the height of the stack is 9 times 3/4 inch, which is 6 3/4 inches.

Now we need to find the area of the base of the rectangular prism formed by the stack of books. Since each book has an area of 22 1/2 square inches, the total area of the base of the stack is 9 times 22 1/2 square inches, which is 202 1/2 square inches.

Therefore, the volume of the stack of 9 books is:

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Answer:

1. (x-4)(x-8) is the factorized form.

2. (x-6)(x+4) is the factorized form.

Step-by-step explanation:

hope this helps :D

To find the rate at which the diameter of a sphere is changing when the volume is 4000π/3 cm3, you can use the formula for the volume of a sphere, which is given by the equation V = (4/3)πr3, where V is the volume, π is the constant approximately equal to 3.14, and r is the radius of the sphere.

You can rearrange this formula to solve for the radius of the sphere:

r = (3V/(4π))^(1/3)

Plugging in the known values, you get:

r = (3(4000π/3)/(4π))^(1/3)

= (4000/4)^(1/3)

= 100^(1/3)

= 10

The diameter of the sphere is twice the radius, so the diameter is 2r = 2 * 10 = 20 cm.

To find the rate at which the diameter is changing, you can use the formula for the rate of change of a function, which is given by the equation rate of change = (change in y)/(change in x). In this case, the change in y is the change in the diameter of the sphere and the change in x is the change in the volume.

Since the volume is increasing at a rate of 50π cm3/min and the diameter is changing at the same time, you can use the formula to solve for the rate of change of the diameter:

rate of change = (change in y)/(change in x)

= (change in diameter)/(50π cm3/min)

To find the change in the diameter, you would need to know the initial and final diameters of the sphere. Without this information, it is not possible to determine the rate of change of the diameter.

Answer:

x = 17/2 or 8.5

Step-by-step explanation:

Here is your problem:

2x = 10 + 7

First we are going to add 7 to both sides.

2x = 10 + 7

+7         +7

Second, we are going to simplify.

2x = 17 (because 10+7 is 17)

Lastly, we are going to divide both sides by 2.

2x = 17

/2     /2

Your answer will be:

x = 17/2 OR 8.5

The length of side B'C' is approximately 3.25 units.

To find the length of side B'C' in the dilated triangle, we need to determine the distance between the points B' and C'.

First, let's find the coordinates of B' and C' after the dilation. Since the dilation is about the origin and the scale factor is 1/2, we can multiply the x-coordinates and y-coordinates of B and C by 1/2.

Coordinates of B' = (2.5 * 1/2, 3 * 1/2) = (1.25, 1.5)

Coordinates of C' = (0 * 1/2, -3 * 1/2) = (0, -1.5)

Now we can calculate the distance between B' and C' using the distance formula:

Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

= sqrt((1.25 - 0)^2 + (1.5 - (-1.5))^2)

= sqrt(1.25^2 + 3^2)

= sqrt(1.5625 + 9)

= sqrt(10.5625)

≈ 3.25

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Answer:

The product of their ages is 36

The sum of the girls age is 13

two sister=?

13 by 36

26

A sentence which describe the given ratio in the context of the situation chosen include the following:

Ratio can be defined as a mathematical expression that is typically used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.

A proportion can be defined as an expression which is typically used to represent (indicate) the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.

A sentence which describe the given ratio in the context of the situation chosen include the following:

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Complete Question:

Choose a situation that could be described by the following ratios, and write a sentence to describe the ratio in the context of the situation you chose.

For example:

3:2 When making pink paint, the art teacher uses the ratio 3:2. For every 3 cups of white paint she uses in the mixture, she needs to use 2 cups of red paint.

a. 1 to 2

b. 29 to 30

c. 52:12

Answer:

$15.30

Step-by-step explanation:

percentage wise, the whole thing is

100% → 100/100

Discount is 15% so the reduced selling price is:

100−15/100 = 85% of the original price.

So the cost to the purchaser after discount is

85/100 × $18.00 = $15.30

Answer:

the answer is $50.50,

Answer:50.50

Step-by-step explanation:

Answer:

The difference in costs including tax between the two nights is $53

Step-by-step explanation:

To find the cost of the hotel suite on Monday including tax, we first calculate the amount of tax by multiplying the room rate by 6% (0.06):

$299.00 * 0.06 = $17.94

So the total cost of the room on Monday including tax is:

$299.00 + $17.94 = $316.94

Next we find the cost of the hotel suite on Friday including tax:

$349.00 * 0.06 = $20.94

So the total cost of the room on Friday including tax is:

$349.00 + $20.94 = $369.94

Finally, to find the difference in costs between the two nights, we subtract the cost of the room on Monday including tax from the cost of the room on Friday including tax:

$369.94 - $316.94 = $53

The difference in costs including tax between the two nights is $53.

Answer:

--------------------------------

The cost x including a 6% tax is:

The difference in costs including tax is:

Bivariate table is that which shows the relationship between two variables. The rule of thumb... if the table is scaled down by percentage, read the whole thing. If the table is percentages, read it down.

Bivariate table:

A table that depicts the relationship between two variables by showing the distribution of one variable over the categories of a second variable.

Bivariate Table Primary Purpose:

A bivariate table shows the distribution of one variable over the categories of another variable.

Finally, we mentioned that univariate data can be displayed in many different ways, such as bar charts and box plots. Bivariate data, on the other hand, are usually displayed in scatter plot.

Rule of thumb:

Bivariate analysis results can be represented in form of a two-column data table.

A rule of thumb when reading spreadsheets created by others is then spreadsheet is percentage down, read the whole thing. If the table is percentages, read it down.

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There are total of 7 terms in the formula of intersection of 3 sets.

The formula of the given sets is,
n(A∪B∪C) = n(A) + n(B) + n(C) - n(A∩B) - n(B∩C) - n(C∩A) + n(A∩B∩C).

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An expression is a combination of numbers, variables, and functions such as addition, subtraction, multiplication or division, etc.

The expression used to represent the 4 weeks withdrawals of $100 is

4 x 100.

An expression is a combination of numbers, variables, and functions such as addition, subtraction, multiplication or division, etc.

We have,

Amount withdrew per week = $100

4 week withdrawal = 4 x $100 = $400

The expression that can be used to represent the withdrawals of $100 per week is:

n x 100 where n is the number of weeks.

Thus the expression used to represent the 4 weeks withdrawals of $100 is

4 x 100.

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Step-by-step explanation:

please review the attachment

Therefore, the two consecutive numbers that satisfy the given condition are 8 and 9.

Let's represent the consecutive numbers as "x" and "x + 1", where "x" is the first number.

According to the given condition, when the first number is multiplied by two and added to the second number, the result is 25. Mathematically, this can be expressed as:

2x + (x + 1) = 25

Simplifying the equation:

2x + x + 1 = 25

3x + 1 = 25

Subtracting 1 from both sides:

3x = 24

Dividing both sides by 3:

x = 8

So, the first number is 8.

To find the second consecutive number, we add 1 to the first number:

x + 1 = 8 + 1 = 9

Therefore, the two consecutive numbers that satisfy the given condition are 8 and 9.

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Grant will receive a pension of $5,096.08 per year.

A regular payment paid to a person after they retire, either from the government or a previous employer, is known as an annual pension. The pension's amount is typically determined by the recipient's pay and number of years of service.

Grant's final average salary is \($80,000 * (1 + 0.025)^4\)= $91,201.96.

His number of years of service is 4.

The vesting percentage for 4 years of service is 70%.

The annual pension is $91,201.96 * 4 * 0.02 * 0.7 = $5,096.08.

Therefore, Grant will receive a pension of $5,096.08 per year.

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Answer:

No. Try harder next year.