The radius of the moon is about 1. 738 mega meters. The formula for the volume of a sphere is v=4/3 nr3. Approximately what is the volume of the moon. Use 3. 14 as an approximation for pi

The point (-2, 7) is not on the graph of y = -2x + 1

From the question, we have the following equation

y = -2x + 1

This equation represents the equation of the graph

Also, we have the following points

(-2, 7)

This point implies that

(x, y) = (-2, 7)

Substitute (x, y) = (-2, 7) in the equation y = -2x + 1

So, we have

7 = -2 x -2 + 1

Evaluate

7 = 5

This is false

Hence, the point is not on the graph

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Answer:

1.5 Miles per Week

Step-by-step explanation:

So first you can take 50% and turn it into a decimal 0.50

Then you times it by how much he ran this month

3x0.50=1.5

The volume of the right rectangular prism is the amount of cubes in it

The formula to determine the volume of the right rectangular prism is V(n) = n

The question is incomplete; as the figure is not given.

So, I will provide a general solution

The volume of a one inch cube is:

\(V = 1^3\)

\(V = 1\)

Assume the number of one inch cubes used to fill the right rectangular prism is n.

Then the volume of the right rectangular prism would be:

\(V(n) = n * 1\)

This gives

\(V(n) = n\)

Hence, the general formula to determine the volume of the right rectangular prism is V(n) = n

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The  sum of the vectors u and v is (-1,1).

To find the sum of the vectors u and v, we need to add their corresponding components.

The vector u has initial point (2,0) and terminal point (3,2), which means its components are (3-2, 2-0) = (1,2).

The vector v has initial point (2,2) and terminal point (0,1), which means its components are (0-2, 1-2) = (-2,-1).

To find the sum of these vectors, we simply add their corresponding components:

u + v = (1,2) + (-2,-1) = (1-2, 2-1) = (-1,1).

Therefore, the sum of the vectors u and v is (-1,1).

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Answer:

h<5

Step-by-step explanation:

Answer:

hours ≥ 5

Step-by-step explanation:

Answer:

78.5 cm^2

Step-by-step explanation:

1, find the radius (half a diameter) R = 5

3.14 * 5^2

3.14 * 25 = 78.5

Answer:

A and D

Step-by-step explanation:

Answer:

A andD

Step-by-step explanation:

The given problem concerns a vibrating circular drumhead fixed along the circumference. The following problem needs to be solved for the two-dimensional wave equation to find the displacement for all positive time.

The Bessel functions of the first kind are solutions of the Bessel differential equation, which is the second-order linear ordinary differential equation. The solutions of the Bessel differential equation are periodic, meaning that they repeat themselves after a fixed interval.

A problem was given to determine the displacement of a vibrating circular drumhead fixed along the circumference. The following problem has to be solved for the two-dimensional wave equation 1,0,t)0, a(r, θ, 0) = 1-r2, udT.0, 0) = 1, linn la(r, θ, t)| < oo where (r, ) are polar coordinates on a circle, and V2 denotes the Laplacian in Cartesian coordinates (x, y).

A Fourier-Bessel series was also given.n= where kn is the n-th positive zero of the Bessel function Jo.

To find the displacement of a vibrating circular drumhead fixed along the circumference, the following problem has to be solved for the two-dimensional wave equation.1,0,t)0, a(r, θ, 0) = 1-r2, udT.0, 0) = 1, linn la(r, θ, t)| < oo where (r, ) are polar coordinates on a circle, and V2 denotes the Laplacian in Cartesian coordinates (x, y).The Bessel functions of the first kind are solutions of the Bessel differential equation, which is the second-order linear ordinary differential equation. The solutions of the Bessel differential equation are periodic, meaning that they repeat themselves after a fixed interval.

A Fourier-Bessel series was given by n= where kn is the n-th positive zero of the Bessel function Jo. The Fourier-Bessel series of the problem is given by u(r,θ,t) =  ∑an(t)J0(knr)J0(kn).The problem requires the initial displacement of the drumhead to be radially symmetric along the circle with the maximum displacement taken at the center.

The initial velocity is a positive constant.To solve the given problem for the two-dimensional wave equation, we can use the separation of variables method to separate the solution of the equation into a product of functions of r and θ and a function of t. The general solution of the given problem for the two-dimensional wave equation is given byu

(r, θ, t) =  ∑an(t)J0(knr)J0(kn).

Therefore, we can conclude that to find the displacement of a vibrating circular drumhead fixed along the circumference, the following problem has to be solved for the two-dimensional wave equation. The general solution of the given problem for the two-dimensional wave equation is given by u(r, θ, t) =  ∑an(t)J0(knr)J0(kn).

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a) 214 in base-five is 1324.

b) 62 in base-five is 222.

c) 8 in base-five is 13.

d) 95 in base-five is 340.

a) To determine the base five representation of 214, we need to   find the largest power of five that  is less than or equal to  214.

In this case, 125 (5³) is the largest power of five   that is less than 214.

Now, we divide 214 by 125 -  

214 ÷ 125 = 1 remainder 89

Next, we divide the remainder, 89, by the next lower power of five, which is 25 (5²) -  

89 ÷ 25 = 3 remainder 14

Finally, we divide the remaining 14 by the lowest power of five, which is 5 itself -  

14 ÷ 5 = 2 remainder 4

Therefore, the base-five representation of 214 is 1324 in base-five.

b) Following the same steps as above -  

62 ÷ 25 = 2 remainder 12

12 ÷ 5 = 2 remainder 2

Hence,  the base-five representation of 62 is 222 in base-five.

c) 8 ÷ 5 = 1 remainder 3

this menas that  the base-five representation of 8 is 13 in base-five.

d) Following the same steps as above -  

95 ÷ 125 = 0 remainder 95

95 ÷ 25 = 3 remainder 20

20 ÷ 5 = 4 remainder 0

Hence, the base-five representation of 95 is 340 in base-five.

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Answer: B

Step-by-step explanation:

The end behavior of f(x) is that both ends go down. The correct answer is B.

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.

Linear function is a function whose graph is a straight line

We are given that;

f(x) = -3x^4+2x^2-x

Now,

we can find the end behavior of f(x) = -3x^4 + 2x^2 - x:

The degree of f(x) is 4, which is even. Therefore, both ends of the graph will either go up or go down.

The leading coefficient of f(x) is -3, which is negative. Therefore, the right end of the graph will go down.

Since both ends have to go in the same direction, and the right end goes down, then the left end must also go down.

Therefore, by the given function the answer will be both ends go down

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Step-by-step explanation:

so, the best way to help you is to help you understand how to solve such problems yourself.

let me know if you still don't understand something :

4.

this you can solve just by common sense.

let's see if you understand it with smaller numbers :

1 ball costs $3. how much will 2 balls cost ? well, twice as much : 2×3 = $6.

how much will 3 balls cost ? hmmm ? three times as much : 3×3 = $9.

and so on.

so, how much will 10 balls cost ? right, ten times a much : 10×3 = $30.

now,

8 eggs for 3 cups of flour.

how many eggs for 30 cups of flour ? you notice that 30 is 10 times 3, right ?

yes, ten times a many eggs : 10×8 = 80 eggs.

5.

3 quarters simply means 3/4.

if we want to know how much 3/4 of something is, we have to multiply that something by 3/4.

so, for 60 students :

60 × 3/4 = 180/4 = 45 students bring a lunch from home.

6.

similar to 4.

5 books in 2 days.

how many books in 8 days ?

you notice that 8 is 4 times 2 ?

so, yes, 4 times as many books : 4×5 = 20 books.

7.

now we are getting into areas, where we need more thinking and apply formal mathematics.

10 pounds jam requires 5 pounds apples.

8 pounds jam require x pounds apples.

the easiest way is to use ratios :

jam to apples = 10/5 = 2/1 = 2

8 pounds jam to x pounds apples must follow the same ratio, as we are using the same recipe.

8/x = 2

8 = 2x

x = 4

so, to get 8 pounds of jam we need 4 pounds of apples.

8.

it seems they were very, very hungry ...

Jenny ate 6 1/4 pizzas.

Dolly ate 5 1/4 pizzas.

6 1/4 = (6×4 + 1)/4 = 25/4

5 1/4 = (5×4 + 1)/4 = 21/4

so, Jenny ate 25/4 / 21/4 = 25/21 = 1.19047619... times more pizza.

or in other words she ate

25/4 - 21/4 = 4/4 = 1 more pizza.

9.

so, he wins 5 of every 15, that is a ratio of 5/15 = 1/3.

he had 75 matches. 1/3 of 75 matches (see also 5.) means

75 × 1/3 = 75/3 = 25.

he won 25 matches.

10.

Mrs. Paul is 145 cm tall.

the daughter is 1/5 of that. see 5. and 9. :

1/5 of 145 means

145 × 1/5 = 145/5 = 29 cm

her daughter is 29 cm tall (a baby).

The set of integers is not closed under the operation of division because when an integer is divided by another, the results are not limited to only integers i.e. zero and decimals are possibilities

Integers are numbers without decimal points

When integers are divided, the possible results are:

The decimal and the zero possibilities imply that the set of integers is not closed under the operation of division

This is so because when an integer is divided by another, the results are not limited to only integers i.e. zero and decimals are possibilities

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Six can be represented using 3 bits, but 2⁴ = 16 unique numbers can be represented using four bits. However, 20 can be represented using 5 bits since 2⁵ = 32 unique numbers can be represented using five bits.

The question "show that the numbers 0 to 7 can be written using 3 binary digits (bits).Binary numbers are constructed by concatenating bits (binary digits).

Each bit can take on one of two values: 0 or 1. Binary notation is frequently utilized in computer engineering to represent data, instructions, and addresses. Three bits can represent 2³ = 8 unique numbers since each bit has two options (0 or 1).

Thus, the numbers 0 to 7 can be represented using 3 bits since 2³ = 8. We can also figure out how many bits are required to represent the numbers 0 to 6 or 0 to 20.

Six can be represented using 3 bits, but 2⁴ = 16 unique numbers can be represented using four bits. However, 20 can be represented using 5 bits since 2⁵ = 32 unique numbers can be represented using five bits.

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Answer:

The slope is again 1

Step-by-step explanation:

Because x1 and x2 is 5 and 8, and y1 and y2 are 5 and 8, the slope equation becomes 5-8 / 5-8, which would turn into -3 /-3, or 1.

:)

Answer: 1

Step-by-step explanation: In algebra, we use the word slope to describe how steep a line is and slope can be found using the ratio rise over run between any two points that are on that line.

So for the line you see here, we will use the two points that are given.

Starting at the point (5,5), we will rise 3 units and run 3 units

in order to get to our second point, (8, 8).

This means that the slope or rise over run is 3/3.

However, 3/3 can be reduced to 1.

So the slope of this line is 1.

Answer:

A

Step-by-step explanation:

tell me if corect

Answer:

Top left

Step-by-step explanation:

(:  htam

To find a plane containing the point (-5, 6, -6) and the line defined by parametric equations x(t) = 7 - 5t, y(t) = 3 - 6t, and z(t) = -6 - 6t, we can use the point-normal form of the equation of a plane.

The equation of a plane in point-normal form is given by Ax + By + Cz + D = 0, where (A, B, C) is the normal vector to the plane, and (x, y, z) are the coordinates of a point on the plane. We can determine the normal vector by taking the cross product of two direction vectors in the plane.

The direction vector of the line can be obtained by taking the coefficients of t in the parametric equations, which gives us (-5, -6, -6). We can choose any two non-parallel direction vectors in the plane, for example, (1, 0, 0) and (0, 1, 0). Taking the cross product of these two vectors, we get the normal vector (0, 0, -1).

Now, we can substitute the values of the point (-5, 6, -6) and the normal vector (0, 0, -1) into the point-normal form equation. This gives us 0*(-5) + 0*6 + (-1)*(-6) + D = 0, which simplifies to D = -6. Thus, the equation of the plane containing the point (-5, 6, -6) and the given line is 0*x + 0*y - z - 6 = 0, or simply -z - 6 = 0.

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Answer:

C. Graph A, Set A

Step-by-step explanation:

(I took the test)

Your X axis is the age of players and the Y axis is the scoring average.

Answer:

C

Step-by-step explanation:

The unit price for the tape is $0.38 or 38 cents per yard.

The unit price is the price of one unit of measurement for a particular substance.

The unit price of a substance is used to calculate the total cost of a particular substance or the cost of a fraction of a substance.

Unit price is calculated by dividing the total cost by the total quantity of the product.

The given price of the product is $3.04 for a 8-yard roll of tape.

So to find the unit price we divide the total cost by the total length to find the cost of 1 yard of tape.

Unit price = $3.04 ÷ 8

or, Unit price = $ 0.38

Therefore the unit price of the tape is $0.38 or 38 cents.

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Answer:

2π r(15 + r ) = 650

Step-by-step explanation:

The formula for TSA of cylinder is 2πr (r +h)

so

The correct equation is

2π r(15 + r ) = 650

hope it helps :)

The required errors identified in the gvien coordinate pairs are written with degrees has been shown.

In the given exercise, we are presented with a set of coordinate pairs written in the format of Degrees, Minutes, and Seconds, along with the respective N/S (for latitude) and E/W (for longitude) symbols. It is important to note the limitations and conventions associated with this format: latitude ranges from 0 to 90 degrees, longitude ranges from 0 to 180 degrees, minutes and seconds are restricted to values up to 59, and any value exceeding 59 rolls over to the next higher unit.

Let's proceed with examining the pairs to identify the errors.

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1. Seconds can only range from 0 to 59, so the value 65 is incorrect.

2. Longitude degrees can only range from 0 to 180, so the value 185 is outside the valid range.

3. Minutes can only range from 0 to 59, so the value 77 is incorrect.

4. The correct order should be degrees, minutes, and then seconds. In this case, the minutes (50") and seconds (21') are swapped.

The required errors identified in the given coordinate pairs are written with degrees has been shown.

1. 89° 47' 65" S: The error in this coordinate pair is the value of the seconds, which is 65.

Seconds can only range from 0 to 59, so the value 65 is incorrect.

2. 185° 24' 37" E: The error in this coordinate pair is the value of the degrees, which is 185.

Longitude degrees can only range from 0 to 180, so the value 185 is outside the valid range.

3. 65° 77' 42" W: The error in this coordinate pair is the value of the minutes, which is 77.

Minutes can only range from 0 to 59, so the value 77 is incorrect.

4. 40° 50" 21' S: The error in this coordinate pair is the order of the minutes and seconds.

The correct order should be degrees, minutes, and then seconds. In this case, the minutes (50") and seconds (21') are swapped.

Remember that for latitude, the valid range of degrees is from 0 to 90, and for longitude, it is from 0 to 180.

Minutes and seconds can only go up to 59.

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The homogeneity of variance assumption in the independent measures t-test assumes that option (c) the variances of the two populations from which the samples are drawn are equal.

In mathematical terms, the t-test assumes that the two populations from which the samples are drawn have equal variances. The homogeneity of variance assumption is important because it affects the calculation of the t-statistic.

When the variances of the two populations are equal, the t-test uses a pooled estimate of the variance to calculate the standard error of the difference between the two sample means.

If the homogeneity of variance assumption is violated, meaning the variances of the two populations are not equal, the t-test may produce inaccurate results.

In this case, an alternative test such as Welch's t-test may be used. Welch's t-test does not assume equal variances and is therefore more robust when the homogeneity of variance assumption is violated.

Therefore, the right choice is option (c).

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If a > 1, the graph of y = a|x| will be vertically stretched (or "taller") or if 0 < a < 1, the graph of y = a|x| will be vertically compressed (or "shorter") or If a is negative, the graph of y = a|x| will be a reflection of the graph of y = |x|  than the graph of y = |x| than the graph of y = |x|,

A graph is a visual representation of a set of objects, called vertices or nodes, that are connected by lines or edges. It is used to study relationships and patterns between these objects.

According to the given information :

The graph of the function y = |x| is a V-shaped graph that passes through the origin, with the arms of the V opening upward and downward at a slope of 1. When we introduce a coefficient 'a' to the function, the graph of y = a|x| is stretched or compressed vertically.

Specifically, if a > 1, the graph of y = a|x| will be vertically stretched (or "taller") than the graph of y = |x|, and the arms of the V will be steeper. On the other hand, if 0 < a < 1, the graph of y = a|x| will be vertically compressed (or "shorter") than the graph of y = |x|, and the arms of the V will be less steep.

If a is negative, the graph of y = a|x| will be a reflection of the graph of y = |x| about the x-axis, resulting in the same shape as y = |x| but flipped upside down

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The value of the variable is 19. Option C

From the image shown, we can see that the shape is a regular pentagon.

The sum of the interior angles of a regular pentagon is expressed as;

(n -2)180

3(180)

540 degrees

Each angle is equivalent to 108 degrees

Then,

4z + 32 = 108

collect the like terms

4z = 108 - 32

substract the values

4z = 76

z = 19

Hence, the value is 108 degrees

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Answer:

Permutation is an arrangement of things where order of arrangement matters. The position of each thing in a permutation matters. Thus, Permutation can be associated with Position.

Combination is grouping/selection of things where order does not matter. Permutation can be considered as an ordered combination.

Answer:

\(f(x) = 144\)

Step-by-step explanation:

This problem deals with a function. All this question is asking is to plug in -4 every time an x appears.

So, let's do that:

\(f(-4) = 10(-4)^{2} + 3(-4) - 4\)

\(f(-4) = 10(16) - 12 - 4\)

\(f(-4) = 160 - 16\)

\(f(-4) = 144\)

Answer:

Step-by-step explanation:

O

Answer:

area =  452.39 square units

circumference = 75.40 square units

Step-by-step explanation:

area = \(\pi r^{2}\)

r = 12

452.389

circumference = \(\pi *d\)

d = 2r

r = 12

d = 24

75.398

======================================================

Work Shown:

x = year

y = amount of hydrocarbon emissions in grams, per mile driven

m = rate of change = slope

m = (y2 - y1)/(x2 - x1)

m = (0.8 - 3.4)/(2007 - 1972)

m = -2.6/35

m = -0.0742857 approximately

The approximate rate of change is about -0.0742857 grams per year. The negative rate of change indicates the per mile hydrocarbon amount has gone down by about 0.0742857 grams each year.