solving for VOLUME ONLY

Answer:

18xy

Step-by-step explanation:

Just multiply the coefficients and then put both the variables at the end.

Answer:

multisampling, multiple locations are sampled within every pixel, and each of those samples is fully rendered and combined with the others to produce the pixel that is ultimately displayed. This is computationally expensive, because the entire rendering process must be repeated for each sample location. It is also inefficient, as aliasing is typically only noticed in some parts of the image, such as the edges, whereas multisampling is performed for every single pixel.

Answer:

(2,1)

Step-by-step explanation:

The line 4y - 2x = 0 can be written in slope-intercept form as y = 1/2x.

So any point that satisfies this equation will lie on the line. For example, the point (2,1) satisfies the equation:

4(1) - 2(2) = 0

So the point (2,1) is on the line.

No, it is not a proportional relationship because the graph does not go through the origin

In order for us to discover if a table represents a proportional relationship, we will find the value of y/x for each pair of values given on the table. If y/x across all values are the same, then the table shows a proportional relationship.

First coordinate values: y/x = 18.25/36.5 = 0.5

Second coordinate values: y/x = 11.6/23.2 = 0.5

Third coordinate values: y/x = 21.1/63.3 = 0.3

The table does not show a proportional relationship because the value of y/x across the values of the table is not equal as we can see that it is equal for the first two alone with the third being different.

For a table of values to show a proportional relationship, y/x across all the pairs of values given in the table must be equal.

The constant is; k = constant of proportionality.

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Answer:

Step-by-step explanation:

To write y as a function of x using the given functions, we can substitute the value of "a" in the first equation with the expression "-5x + 1" from the second equation.

Given:

y = -3a + 3

a = -5x + 1

Substituting the value of "a" in the first equation:

y = -3(-5x + 1) + 3

Now, let's simplify this expression:

y = 15x - 3 + 3

y = 15x

Therefore, y can be expressed as a function of x as:

y = 15x

Answer:

120 ft/2

Step-by-step explanation:

Let the vertical distance of the rocket be y.

Let the distance between the observer and the rocket be z.

The horizontal distance between the observer and the rocket is 800 ft.

When the rocket is 600 ft above ground, y = 600.

800² + 600² = z²

z = 1000

z² = 800² + y²

Differentiate with respect to time.

2zz' = 2yy'

z' = (2yy')/(2z)

z' = yy'/z

z' = (600)(200)/1000

z' = 120000/1000

z' = 120

Answer: 120 ft/s

Answer:

6

Step-by-step explanation:

The rotational symmetry for a hexagon is 6 as it is a regular polygon.

Answer:

A=33.33

Step-by-step explanation:

Answer: Part A) 25%

Part B) 75%

Step-by-step explanation: Hope this helps.

Answer:

I think it’s 1

Step-by-step explanation:

Because it’s a right triangle and it’s equal to 90° So

and 2,3,4 is less than 90 so

Answer: \(y+2=2(x-3)\)

Step-by-step explanation:

Parallel lines have the same slope, so substituting into point-slope form, the equation is

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

Answer:

Width of the floor = 10 feet

Step-by-step explanation:

Given that:

Area of rectangular floor = 80 square feet

Width of rectangular floor = w

Length of rectangular floor = w - 2

Now,

Area = Length * Width

80 = w(w-2)

\(80=w^2-2w\\w^2-2w-80=0\\\)

Factorizing the equation,

\(w^2+8w-10w-80=0\\w(w+8)-10(w+10)=0\\(w+8)(w-10)=0\)

Either,

w+8 = 0

w = -8

Or,

w-10 = 0

w=10

As width cannot be negative,

width = 10 feet

Hence,

Width of the floor = 10 feet

The equivalent expression is 1/12².

What is an equivalent expression?

Expressions that are equivalent do the same thing even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).

Here, we have

Given: equivalent expression = 12⁻⁷.12⁵

To solve this expression we apply the simplification rule and we get

= 12⁻⁷.12⁵

= 12⁻⁷⁺⁵

= 12⁻²

= 1/12²

Hence, the equivalent expression is 1/12².

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Answer:

  see attached graph

Step-by-step explanation:

There are a couple of ways you can look at this.

Point-Slope Form

The point-slope form of the equation for a line is ...

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

Comparing this to the given equation, we see that ...

  k = -14, m = -7, h = 0

That is, the equation describes a line with slope -7 through point (0, -14).

The slope is the ratio of rise to run. Usually, "run" is considered to be positive in the +x direction (to the right). Here, you run out of room on most graphs if you look for a point that is 7 units down and 1 unit right of the y-intercept at (0, -14). (That point is (1, -21).) So, it is more convenient to start at the y-intercept (0, -14) and go 1 unit left and 7 units up to find another point on the line. That point is (-1, -7). With two points plotted, you can draw the graph.

__

Slope-Intercept form

We discovered above that the y-intercept is -14. You can get there also by putting the equation in slope-intercept form:

  y = mx +b . . . . . . line with slope m and y-intercept (0, b)

Adding -14 to both sides of the given equation gives you this form.

  y = -7x -14

The method of plotting is substantially identical to that described above.

__

Standard form

The standard form of the equation is ...

  ax +by = c

where a > 0, and a, b, c are mutually prime integers.

Adding 7x-14 to both sides of the equation puts it into standard form:

  7x +y = -14

The x- and y-intercepts are found by setting the other variable to zero and solving for the one that is left. Here, that means the x-intercept is ...

  c/a = -14/7 = -2

and the y-intercept is ...

  c/b = -14/1 = -14

These x- and y-intercepts are easily plotted on the x- and y-axes. The graph will be the line drawn through them. The attached graph shows the line and the intercepts.

Answer:

Therefore, The Binary Representation of 345.89 is:

345.89  =  101011001.11100111

Step-by-step explanation:

Separate the Integer and Decimal Parts:

345  and 0.89

Convert the Integer Part to Binary:

345  =  2^8  +  2^5  +  2^4  + 2^2  + 2^0

345  =  256 + 32 + 16 + 4 + 1

Now, The Binary Representation of the Integer Part is:

101011001

Convert The Decimal Part to Binary:

0.89 * 2 = 1.78 (integer part: 1 )

0.78  * 2  =  1.56 (interger part: 1 )

0.56  * 2  =  1.12 (integer part: 1 )

0.12 * 2 = 0.24 (integer part: 0 )

0.24 * 2 = 0.48 (integer part: 0 )

0.48 * 2 = 0.96 (integer part: 0 )

0.96 * 2 = 1.92 (integer part: 1 )

0.92 * 2 = 1.84 (integer part: 1 )

0.84 * 2 = 1.68 (integer part: 1 )

Now, We can stop here, as we have reached a reasonable level of precision.

The Binary representation of the Decimal Part is 0.11100111

Draw a conclusion:

Therefore, The Binary Representation of 345.89 is:

345.89  =  101011001.11100111

I hope this helps!

a)

The minimum happens at the end of the left whisker of the box plot, from the graph we notice that his happens at five. Therefore, the minium amount of snow in any of the cities was 5.

b)

The data is more concenrtated in the second quarter (from the median to the third quartile) this comes from the fact that the length of this part of the block is smaller compared to the second quarter.

c)

The data is more spread out in the second quarter (from the second quartile to the median); this comes from the fact that the length of that part of the box is larger than any other part of the plot

Answer:

C

Step-by-step explanation:

Answer:

47°

Step-by-step explanation:

Given that m<NLO = 41°, and m<NLM = 88°, according to angle addition postulate, m<OLM + m<NLO = m<NLM

Therefore, subtracting m<NLO from both sides will give us:

m<OLM = m<NLM - m<NLO

m<OLM = 88° - 41°

m<OLM = 47°

Answer:

10.06 lbs of peanuts and 19.94 lbs of hazelnuts.

Step-by-step explanation:

lb=pound

30 lb mixture at $6.43/lb means that the total cost of the mixture is 30×6.43=192.9

Let H = weight of hazelnuts in the mixture.

Let P = weight of the peanuts in the mixture.

Set up a system of equations.

7H + 6.43P = 192.9

H + P = 30

Afterward, input the values into the equations above.

H = 30 - P

7(30-P) + 5.3P = 192.9

210 - 7P + 5.3P = 192.9

210 - 1.7P = 192.9

-1.7P + 210 = 192.9

-1.7P = 192.9 - 210

-1.7P = -17.1

P = -17.1 / -1.7 = 10.06

H = 30 - P = 30 - 10.06 = 19.94

Hence, the mixture contains 10.06 lbs of peanuts and 19.94 lbs of hazelnuts. Hope this helps and have a great day!

Answer:

2.2

Step-by-step explanation:

8.8 / 4

you get 2.2

hope it helps

Answer:

2.2

Step-by-step explanation:

8.8 divided by 4 = 2.2

Answer:

0.0

Step-by-step explanation:

To find 0.007 divided by 0.498, we can perform the following calculation:

0.007 / 0.498 ≈ 0.0141

Rounding this to the nearest tenth gives:

0.0141 ≈ 0.0

Therefore, the result, rounded to the nearest tenth, is 0.0.

To prove that there are only these five regular polyhedra, we can consider Euler's polyhedron formula, which states that for any convex polyhedron, the number of vertices (V), edges (E), and faces (F) satisfy the equation V - E + F = 2.

The five regular polyhedra, also known as the Platonic solids, are the only convex polyhedra where all faces are congruent regular polygons, and the same number of polygons meet at each vertex.

The five regular polyhedra are:

1. Tetrahedron: It has four triangular faces, and three triangles meet at each vertex.

2. Cube: It has six square faces, and three squares meet at each vertex.

3. Octahedron: It has eight triangular faces, and four triangles meet at each vertex.

4. Dodecahedron: It has twelve pentagonal faces, and three pentagons meet at each vertex.

5. Icosahedron: It has twenty triangular faces, and five triangles meet at each vertex.

To prove that there are only these five regular polyhedra, we can consider Euler's polyhedron formula, which states that:

"for any convex polyhedron, the number of vertices (V), edges (E), and faces (F) satisfy the equation V - E + F = 2".

For regular polyhedra, each face has the same number of sides (n) and each vertex is the meeting point of the same number of edges (k). Therefore, we can rewrite Euler's formula for regular polyhedra as:

V - E + F = 2  

=>  kV/2 - kE/2 + F = 2  

=>  k(V/2 - E/2) + F = 2

Since each face has n sides, the total number of edges can be calculated as E = (nF)/2, as each edge is shared by two faces. Substituting this into the equation:

k(V/2 - (nF)/2) + F = 2  

=>  (kV - knF + 2F)/2 = 2  

=>  kV - knF + 2F = 4

Now, we need to consider the conditions for a valid polyhedron:

1. The number of faces (F), edges (E), and vertices (V) must be positive integers.

2. The number of sides on each face (n) and the number of edges meeting at each vertex (k) must be positive integers.

Given these conditions, we can analyze the possibilities for different values of n and k. By exploring various combinations, it can be proven that the only valid solutions satisfying the conditions are:

(n, k) pairs:

(3, 3) - Tetrahedron

(4, 3) - Cube

(3, 4) - Octahedron

(5, 3) - Dodecahedron

(3, 5) - Icosahedron

Therefore, there exist only five regular polyhedra.

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\(x-9z^5+4z+11+2z^5+14=-5z^5-3z+25\\x=2z^5-7z\)

Therefore, it's \(2z^5-7z\).

10-10=69.420!!!!!!!!!!

Answer:

\(y=\frac{1}{2}x\)

Step-by-step explanation:

The y-intercept is 0

Answer:

80

Step-by-step explanation:

Answer:

\(\huge\boxed{2\times10^3}\)

Step-by-step explanation:

\((8\times10^{-3})\div(4\times10^{-6})=\dfrac{8\times10^{-3}}{4\times10^{-6}}=\dfrac{8}{4}\times10^{-3-(-6)}=2\times10^{-3+6}=2\times10^3\)

Used:

\(\dfrac{a^n}{a^m}=a^{n-m}\ \text{for}\ a\neq0\)

The spherical coordinates of the given rectangular coordinates are (10, 0, 60).

The cartesian coordinate or rectangular coordinates describes the location of a point in space using an ordered triple where each coordinate represents a distance. The spherical coordinate system describes the location of a point in space using an ordered triple where coordinate describes one distance and two angles. In the spherical coordinate system, a point is represented by the ordered triple (ρ, θ, φ).

The equations which are used to convert from rectangular coordinates to spherical coordinates are:

ρ^2=x^2+y^2+z^2

tan⁡〖θ= y/x〗

φ=arccos⁡〖z/√(x^2+y^2+z^2 )〗

The given rectangular coordinates are (5√3, 0, 5). Hence,

ρ^2=〖(5√3)〗^2+0^2+5^2 ≈ 100

ρ ≈ √100 ≈ 10

tan⁡〖θ= 0/(5√3)=0〗

θ=  tan^(-1)⁡0=0

φ=arccos⁡〖5/√(〖(5√3)〗^2+0^2+5^2 )〗= arccos 5/10=arccos⁡0.5 ≈ 60

Note:  The question is incomplete. The complete question probably is: Convert from rectangular to spherical coordinates. (Use symbolic notation and fractions where needed. Give your answer as a point's coordinates in the form (*,*,*). (5√3, 0, 5)

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A rectangular floor with a length of 14 ft and a width of 6 ft, square tiles with an edge length of 3/4 ft, a total of 144 tiles can fit.

To determine how many square tiles can fit in a rectangular floor, we need to calculate the total number of tiles that can fit both horizontally and vertically.

Given:

Length of the rectangular floor = 14 ft

Width of the rectangular floor = 6 ft

Edge length of square tile = 3/4 ft

First, let's calculate the number of tiles that can fit horizontally:

Length of the rectangular floor / Edge length of square tile = 14 ft / (3/4 ft) = 14 ft × (4/3 ft) = 56/3 ft

Since we want a whole number of tiles, we need to round down or take the floor value:

Number of tiles horizontally = floor(56/3) = 18 tiles

Next, let's calculate the number of tiles that can fit vertically:

Width of the rectangular floor / Edge length of square tile = 6 ft / (3/4 ft) = 6 ft × (4/3 ft) = 24/3 ft

Again, we round down or take the floor value:

Number of tiles vertically = floor(24/3) = 8 tiles

To find the total number of tiles, we multiply the number of tiles horizontally by the number of tiles vertically:

Total number of tiles = Number of tiles horizontally × Number of tiles vertically = 18 tiles × 8 tiles = 144 tiles

Therefore, in a rectangular floor with a length of 14 ft and a width of 6 ft, square tiles with an edge length of 3/4 ft, a total of 144 tiles can fit.

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Here, we need to find the monthly and the weekly growth rate

The monthly growth rate is 99.33 ounces and the weekly growth rate is 22.9 ounces

Weight at birth = 8 ounces

Weight at one year =75 ounces

1 pound = 16 ounces

75 pounds = 1200 ounces

Additional weight after birth = Weight at one year - Weight at birth

= 1200 ounces - 8 ounces

= 1,192 ounces

There are 12 months in a year

Growth rate per month = Additional weight after birth / 12

= 1,192 / 12

= 99.33 ounces per month

There are 52 weeks in a year

Growth rate per week = Additional weight after birth / 52

= 1,192 / 52

= 22.9 ounces per week

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Answer:

1,826,059

Step-by-step explanation:

One-tenth the value of any number  is just moving the given number to the right one time

Each number should be dragged to a box to complete the table as follows;

Kilometers     Meters

1                        1,000

2                       2,000

3                       3,000

5                       5,000

8                       8,000

In Science and Mathematics, a conversion factor can be defined as a number that is used to convert a number in one set of units to another, either by dividing or multiplying.

Generally speaking, there are one (1) kilometer in one thousand (1,000) meters. This ultimately implies that, a proportion or ratio for the conversion of kilometer to meters would be written as follows;

Conversion:

1 kilometer = 1,000 meters

2 kilometer = 2,000 meters

3 kilometer = 3,000 meters

4 kilometer = 4,000 meters

5 kilometer = 5,000 meters

6 kilometer = 6,000 meters

7 kilometer = 7,000 meters

8 kilometer = 8,000 meters

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.