times its height.
A right circular cylinder has a height of 20 1/2 ft and a diameter 1 1/5
What is the volume of the cylinder?
Enter your answer as a decimal in the box. Use 3.14 for pi and round only your final answer to the nearest hundredth.

Answer:

y = 2x - 3

Step-by-step explanation:

The statement is true. because If F and G are vector fields with the same curl, their line integrals along any oriented circle C are equal.

Find out if the given statement is true or false?

If two vector fields F and G have the same curl, then they are said to be curl-free or solenoidal. In other words, curl F = curl G implies that the vector fields have the same circulation around any closed loop.

Let's denote the line integral of a vector field F along a curve C as ∮C F ⋅ dr, where dr is the differential displacement vector along the curve C.

For any oriented circle C in three-dimensional space, the line integral of a curl-free vector field F along C will be equal to the line integral of another curl-free vector field G along C.

Mathematically, we can express this as:

∮C F ⋅ dr = ∮C G ⋅ dr

So, the given statement is true.

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Answer:

y-intercept is 4

(0,4)

Answer:

Its C

Step-by-step explanation:

Given data:Width of flume (B) = 3 mDepth of flume (D) = 1.5 mChezy’s constant (C) = 0.013Slope of the bed (S) = 0.0025We know that,Q = (1/C) * A * R^(2/3) * S^(1/2)

Where,Q = Discharge of rectangular flumeA = Area of cross-sectionR = Hydraulic radiusS = Slope of the bedCalculation:Area of cross-section, A = B * D = 3 * 1.5 = 4.5 m²Wetted perimeter, P = B + 2 * D = 3 + 2 * 1.5 = 6 mHydraulic radius,

R = A / P = 4.5 / 6 = 0.75 mSubstituting the given values,Q = (1 / 0.013) * 4.5 * 0.75^(2/3) * 0.0025^(1/2)Q = 0.796 m³/sBoundary shear stress, τo = ρ * g * R * Sρ = Density of water = 1000 kg/m³g = Acceleration due to gravity = 9.81 m/s²Substituting the given values,τo = 1000 * 9.81 * 0.75 * 0.0025τo = 18.23 N/m²

The discharge of a rectangular flume 3 m wide and 1.5 m deep on a slope of 0.0025 is 0.796 m³/s and the boundary shear stress is 18.23 N/m².

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Answer: Lines a and b are parallel

Step-by-step explanation:

The slope of line a is \(\frac{13-10}{4-2}=\frac{3}{2}\).

The slope of line b is \(\frac{12-9}{6-4}=\frac{3}{2}\).

The slope of line c is \(\frac{10-9}{2-4}=-\frac{1}{2}\).

Since lines a and b have the same slope, they are parallel.

Answer:

Move decimal points in 726.02, 3 points in the left direction

Step-by-step explanation:

Given

Quotient of 726.02 and 1000

This is represented as:

\(Quotient = \frac{726.02}{1000}\)

The denominator 1000 has 3 zeros.

This implies that the decimal points will be moved in the left direction by 3 points.

So:

\(Quotient = \frac{726.02}{1000}\)

\(Quotient = 0.72602\)

Answer:

To find the quotient of 726.02 and 1,000, move the decimal point in 726.02 three places to the left.

Answer:

sum of all angles of a triangle= 180°

Let angle A be x,

then 63°+90°+x=180°

x=17°

The theorem that allows assuming that ∠PRS and ∠PRQ are equal is the Vertical Angles Theorem. The Option C.

The Vertical Angles Theorem states that when two lines intersect, the pairs of opposite angles formed are congruent. In other words, if we have two intersecting lines, the angles opposite each other are equal.

In the case of ∠PRS and ∠PRQ, they are formed by the intersection of lines PR and QS. Since these angles are opposite each other, the Vertical Angles Theorem allows us to conclude that they are congruent or equal.

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Answer:

option d. is the correct answer

Answer:

Step-by-step explanation:

Just as the “stop sign” uses its 8 sides to communicate about “sharing the stop in all directions”, the yield sign’s 3 sides communicate as well. That triangle communicates that things’ll get tighter and tighter for you, as you move up. It’s sort of implicit - your space is going away. You need to stop and yield to others whose space hasn’t gone away.

-lukelaws

please brainiest in almost another level up!

Answer:

-3 = -v + 7

-3 - 7 = -v

3+7 = -v

-10 = -v

10 = v

Step-by-step explanation:

this is the answer i got, using basic algebra...

i hope this helps....

have a great day ahead :)

Answer:

v = 10

Step-by-step explanation:

\(-3=-v+7\\\\-v+7=-3\\\\-v+7-7=-3-7\\\\-v=-10\\\\\frac{-v=-10}{-1}\\\\ \boxed{v=10}\)

Hope this helps.

Answer:

50

Step-by-step explanation:

i just guessed sorry

Answer:

x= -5/3

Step-by-step explanation:

(you dont have to apologize for not knowing something <3)

Answer:

5.5, 9.5

Step-by-step explanation:

Let x and y be the numbers

x+y = 15

x-y = 4

Add the two equations together to eliminate y

x+y = 15

x-y = 4

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

2x = 19

Divide by 2

2x/2 =19/2

x = 9.5

Now find y

x+y = 15

9.5+y = 15

Subtract 9.5

x = 15-9.5

x =5.5

Answer:

11/2 and 19/2

Step-by-step explanation:

We have to make a system of equations:

1) X + Y = 15

2) X - Y = 4

Working on the first one:

X = 15 - Y

And now let's plug it in the second one:

(15 - Y) - Y = 4

15 - 2Y = 4

2Y = 11

Y = 11/2

Let's substitute this in one of the two equations:

X + 11/2 = 15

X = 19/2

Answer: Hello! I'm Jk!....

7a and 12a

Step-by-step explanation:

Hope this really helps you, XoXoGoldenMaknae

Answer:

Therefore for this distance combined speed is to be taken. Time taken to cover 2800 miles = 2800/(60+40) = 28 hours.

Step-by-step explanation:

We can assume that B leaves Los Angeles not at noon but at 2pm Eastern Time, so 5 hours later than A leaves New York.

In 5 hours A covers 5*40=200 miles. So, A and B together should cover 3,000-200=2,800 miles.

Combined rate = 40 + 60 = 100 miles per hour.

To cover 2,800 miles they'll need 2,800/100=28 hours.

2pm Eastern Time on Monday + 28 hours = 6pm Eastern Time on Tuesday

The perimeter of figure WXYZ is 47.5 inches.

What are polygons ?

A polygon is a closed two-dimensional shape with straight sides. Polygons can have any number of sides, but they must be straight and not curved. Some common polygons include triangles, squares, rectangles, pentagons, hexagons, octagons, and many more.

Polygons are named according to the number of sides they have. For example, a polygon with three sides is called a triangle, a polygon with four sides is called a quadrilateral, and a polygon with five sides is called a pentagon.

Given by the question:
If the corresponding sides of two similar polygons have a ratio of 4:5, then the ratio of their perimeters is also 4:5. This means that the perimeter of figure WXYZ is:

Perimeter of figure WXYZ = (Perimeter of figure ABCD) × (Ratio of perimeters)

Perimeter of figure WXYZ = 38 inches × (5/4)

Perimeter of figure WXYZ = 47.5 inches

Therefore, the perimeter of figure WXYZ is 47.5 inches.

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Answer:

\(=x(2y-x)(2y-3x)\)

Step-by-step explanation:

We want to factor the following expression:

\(x(2y-x)^2+2x^2(x-2y)\)

First, notice that both of the terms have an x. Thus, let's factor out the x first:

\(=x((2y-x)^2+2x(x-2y))\)

Now, notice the similarity between (2y-x) and (x-2y). If we multiply either of them by a negative, they will be the same.

Therefore, we can factor out a negative from (x-2y). This will give us:

\(=x((2y-x)^2+2x(-(2y-x))\)

Since multiplication is commutative:

\(=x((2y-x)^2-2x(2y-x))\)

Now, we can factor out the (2y-x):

\(=x(2y-x)((2y-x)-2x)\)

And we can simplify this to get:

\(=x(2y-x)(2y-3x)\)

Alternate Method:

Starting from here:

\(x((2y-x)^2+2x(x-2y))\)

We can factor out a negative from the (2y-x)² term. This yields:

\(=x((-1(x-2y))^2+2x(x-2y))\)

Since -1 squared is positive, we can simplify:

\(=x((x-2y)^2+2x(x-2y))\)

Now, we can factor out the (x-2y):

\(=x(x-2y)((x-2y)+2x)\)

Simplifying gives:

\(=x(x-2y)(3x-2y)\)

While this looks different, they are exactly the same. If we factor out a negative from both the second and third term, we get:

\(=x(-(2y-x))(-(2y-3x))\)

The negatives will cancel, leaving us with:

\(=x(2y-x)(2y-3x)\)

This is exactly the same as what we acquired previously.

Therefore, both answers are correct.

The distribution is skewed left and leptokurtic is the correct shape of distribution. The correct answer is option B.

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Answer:

each tube costs $1.5 so put it the point in between 1 and 2

thank you

Step-by-step explanation:

The simplest polynomial function with the given zeros 2, -1, and -8 is:

f(x) = x³ + 7x² - 6x - 16.

Given the roots or zeroes: 2, -1, and -8

Polynomial function f(x) = ?

If the given zeros are 2, -1, and -8, then the corresponding factors of the polynomial function are:

(x - 2), (x + 1), and (x + 8).

The simplest polynomial function with these zeros is the product of these factors:

(x - 2)(x + 1)(x + 8)

Expanding this product gives:

x³ + 7x² - 6x - 16

Hence;

The polynomial function is f(x) = x³ + 7x² - 6x - 16.

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Solution,

Principal=£ 500

Time=2 years

Interest=£40

Rate=?

Now,

R=I*100/P*T

= 40*100/500*2

=4000/1000

=4%

Hope it helps

Good luck on your assignment

Answer:

\(4\%\)

Step-by-step explanation:

\(p = 500 \\ r = x \\ t = 2\)

\(simple \ \: \: \: = \frac{prt}{100} \\ interest \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 40= \frac{500 \times x \times 2}{100} \\ \: \: \: \: \: \: \: 40 \: \: \: \: \: \: \: \: \: = \frac{1000x}{100} \\ \frac{40 \times 100}{1000} = x \\ x = 4\)

Answer:

1 2/6

Step-by-step explanation:

3 1/2 - 2 and 6 inches

change 6 to 1/6

3 1/2 = 3/6

2 1/6 = 1/6

-

_____

1 2/6

The experimental probability of drawing a diamond is 0.20

From the question, we have the following parameters that can be used in our computation:

Outcome Frequency

Heart 7

Spade 3

Club 6

Diamond 4

For diamond, we have

P(Diamond) = Diamond/Total

So, we have

P(Diamond) = 4/20

Evaluate

P(Diamond) = 0.20

Hence, the value is 0.20

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Based on the analysis, the east edge of the basketball court could be located on the line given by either −y − 5x = 100, y + 5x = 100, or −5x − y = 50, as these lines do not intersect with the west edge.

To determine on which line the east edge of the basketball court could be located, we need to find a line that does not intersect with the west edge represented by the equation y = 5x + 2.

The slope-intercept form of a line is given by y = mx + b, where m is the slope of the line and b is the y-intercept.

Comparing the equation y = 5x + 2 with the given options, we can observe that the slope of the west edge is 5.

Now let's analyze the options:

Option 1: −y − 5x = 100

By rearranging the equation to slope-intercept form, we get y = -5x - 100. The slope of this line is -5, which is not equal to the slope of the west edge (5).

Therefore, this line could be the east edge of the basketball court since it does not intersect with the west edge.

Option 2: y + 5x = 100

Rearranging the equation to slope-intercept form, we get y = -5x + 100. The slope of this line is -5, which is not equal to the slope of the west edge (5).

Thus, this line could be the east edge of the basketball court since it does not intersect with the west edge.

Option 3: −5x − y = 50

Rearranging the equation to slope-intercept form, we get y = -5x - 50. The slope of this line is -5, which is not equal to the slope of the west edge (5).

Hence, this line could be the east edge of the basketball court since it does not intersect with the west edge.

Option 4: 5x − y = 50

By rearranging the equation to slope-intercept form, we get y = 5x - 50. The slope of this line is 5, which is equal to the slope of the west edge (5).

Therefore, this line cannot be the east edge of the basketball court as it intersects with the west edge.

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y = -1/3x + 1

y = -2x - 3

We can compare the equations to the graphs and see which graph represents the intersection point of the two equations.

The first equation, y = -1/3x + 1, has a negative slope (-1/3) and a y-intercept of 1.

The second equation, y = -2x - 3, also has a negative slope (-2) and a y-intercept of -3.

Based on the slopes and y-intercepts, we can identify the correct graph by finding the point where the two lines intersect.

Unfortunately, since the graphs are not provided, I am unable to determine which specific graph shows the solution to the system of linear equations. I recommend referring to the graph representation of the equations and identifying the intersection point to determine the correct graph.

Answer:

Factored completely is: 3x^2 (x+3)(x-2)

according to your question - probs (x-2), no other choice

Step-by-step explanation:

have fun friend & have a good day friend :)

Answer:

42

Step-by-step explanation:

210/42 = 5

126/42 = 3

42/42 = 1

all of them are divisible by 42

and that is the highest number you can divide all the numbers by the same number so yes this is the greatest common factor you're correct

Answer:

J. 42

Step-by-step explanation:

To find the greatest common factor (GCF) of a set of numbers, first list the prime factors of each number:

42 = 2 × 3 × 7

126 = 2 × 3 × 3 × 7

210 = 2 × 3 × 5 × 7

The three numbers have the prime factors of one 2, one 3 and one 7 in common.

Multiply them together to get the GCF:  

2 × 3 × 7 = 42

Therefore, the GCF of 42, 126 and 210 is 42.