What property is 3x=x3

The volume of the figure in the nearest hundredth is 67 mi³

The formula for determining the volume of a sphere is expressed as;

Volume = 4/ 3 πr³

Where;

To determine the volume, we have to substitute the values of the parameters into the formula

Volume = 4/ 3 × 3. 14 × (4)²

Find the value of the square

Volume = 4/ 3 × 3. 14 × 16

Multiply through

Volume = 200. 96/ 3

Find the quotient

Volume = 66. 98

Volume = 67 mi³

Thus, the volume of the figure in the nearest hundredth is 67 mi³

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Answer: The midpoint is 1/2

Step-by-step explanation: The formula we are using for this problem is (x1+x2/2, y1+y2/2) I substitute the points for the equation and it looked likes this (-1-6/2)(5-8/2) and got 5/2-3/2 and the final answer is 1/2!

Hope this helped C:

Answer:

( -3 1/2, -1 1/2)   or as a desimal (-3.5, -1.5)

Step-by-step explanation:

Brainliest please

Answer:

4:25 I think

Step-by-step explanation:

just added them all up I don't know if that's what you needed yho

Answer:

15:85 or 4:25

Step-by-step explanation:

jfhfjfjfjfjfndndndndndjdjfjfnnfjfjdjfjfjf

Answer:yes

Step-by-step explanation:

Answer:

Leading coefficient: 2

Exponential term: 2x⁵

Hope this helps.

Answer:

2 and ^5

Step-by-step explanation:

cause the coefficients are the bigger numbers in the beginning

Check the picture below.

The solution is, the combined volume of the boxes is 180 unit cube.

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

here, we have,

from the given diagram, we get,

there is two boxes in the diagram.

now, we have to find the combined volume.

here, we get,

the boxes are cuboids.

we know that,

Volume of  cuboid = length * width * height

V = l*w*h

here, we get, from the figure,

for 1st box, l = 3, w = 5 , h = 8

so, V  = 3 * 5 * 8 = 120

and, for 2nd box, l = 4, w = 5, h = 3

so, V = 4*5*3 = 60

we get, the combined volume 120 + 60 = 180

Hence, The solution is, the combined volume of the boxes is 180 unit cube.

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The property which equality 2 demonstrate is: d. Associative property of multiplication.

The associative property of multiplication states that when three (3) numbers are multiplied, the end result (output) would always be the same regardless of the way the numbers are arranged (grouped).

This ultimately implies that, the associative property of multiplication suggest that the way in which factors are arranged (grouped) when multiplying three (3) numbers does not change the product.

Mathematically, the associative property of multiplication can be represented by this expression:

(a × b) × c = a × (b × c)  ≡ (8 × 5) × 6.75 = 8 × (5 × 6.75)

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The greatest common factor of 9ab², 108ab³ is 9ab².

The factor of a number is the number that divides a number evenly; without any remainders. The factors of a number can either be positive or negative. For example, a factor of 10 is 2. This is because 10 divided by 2 is 5. 2 divides 10 evenly.

The greatest common factor is the highest factor that is common to two or more numbers. The highest common factor of 10 and 20 is 10. This is because it is the greatest common factor that is common to both numbers.

Factors of  9ab², 108ab³ = 3ab², 9ab²

The greatest common factor = 9ab²

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Step-by-step explanation:

2x-10x+6=4x-6

2x-10x-4x=-6-6

-12x=-12

x=1

i can't graph it for you but

x is greater than or equal to 7

Price of each ticket without service charge is : 43.569                                                                                                              Service charge : A service charge is an amount that is added to your bill in a restaurant to pay for the work of the person who comes and serves you.

So we have to find out price of each ticket without service charge

Total service charge added on both the tickets : 3%

Step by step solution :

$92.70 (both tickets with service charge)

92.70*3/100

2.781 (service charge for one ticket)

2.781*2= 5.562

92.70-2.781=89.919

89.919/2 = 43.569                                                                                    To learn more about service charge visit brainly.com/question/13840144

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For the given maximization problem there is  no the point in the feasible region which maximizes objective function C = 7x -3y.

A feasible region in any optimization problem is the collection of all the points where all the given constraints are satisfied.

For maximization problem, we will use the corner points of the feasible region and then we will check that on which corner point the objective function is maximum.

Given problem is:

Maximize Objective function C = 7x-3y

When the constraints are  (i) x≥0 , (ii) y≥0 , (iii) -x+5 ≤y

(iv) y ≤ (1/3)x +1

We will graph these constraints and  find the common shaded area.

x≥0,y≥0 represents that the point is in 1st quadrant

For -x+5 ≤y, we will use -x +5 =y

When x= 0 then y=5  and when y=0 then x=5 , then -x +5 =y is a line passing through (0,5) and (5,0)

and on putting (0,0) in -x+5 ≤y we get 5≤0 which is a false statement .

Therefore -x+5 ≤y is region starting with line -x +5 =y and going in direction to opposite to that of (0,0)

For y ≤ (1/3)x +1, we will use y = (1/3)x +1

When x= 0 then y=1  and when y=0 then x=-3 , then y= (1/3)x +1 is a line passing through (0,1) and (-3,0)

and on putting (0,0) in y ≤ (1/3)x +1 we get 0≤1 which is a true statement .

Therefore, y ≤ (1/3)x +1 is region starting with line y = (1/3)x +1 and going in direction of (0,0).

Thus we got the feasible region as shaded in the below attached figure.

The shaded area is unbounded , therefore no point of maximum exist on the feasible region.

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Answer:

4³

Step-by-step explanation:

using the rules of exponents

• [tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

• [tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex]

then

4² × [tex]4^{4}[/tex] / 4³

= [tex]4^{(2+4)}[/tex] / 4³

= [tex]4^{6}[/tex] / 4³

= [tex]4^{(6-3)}[/tex]

= 4³

Answer:

.49 if you're dividing them.

Step-by-step explanation:

Answer:

1x - 19683

Step-by-step explanation:

(I have to assume you meant to simplify the equation)

27 to the third power can also be written as: 27 * 27 * 27

That equals 19683

So the equation would be: 1x - 19683

Answer:

12 yd

Step-by-step explanation:

Since the questions says "assuming that all intersecting sides meet at right angles" means that this shape is made up of 2 rectangles :

So Opposite 16 yd should be the 4 yd at the bottom + missing side

So the answer is 12 yd

Hope this helped and you understood and have a good day

Answer:
The two shapes are similar, therefore, [tex]\frac{\text{KJ}}{\text{WZ}} = \frac{\text{JM}}{\text{YZ}}[/tex]

[tex]\frac{12}4 = \frac6n\\\to 3n = 6\\\to n =2[/tex]

The side length YZof a trapezoid WXYZ will be 2 cm.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezoid, one pair of opposite sides are parallel.

The side lengths are given as:

JK = 12 cm

MJ = 6 cm

WX = 4 cm

WZ = n cm

From the diagram, the trapezoid JKLM is similar to the trapezoid WXYZ.

If the two polygons are similar then the ratio of the corresponding sides of the polygon is constant. The ratios are written as,

JK/WX = KL/XY = LM/YZ = MJ/ZW

JK/WX = MJ/ZW

12/4 = 6/n

3 = 6/n

n = 6/3

n = 2

The side length YZof a trapezoid WXYZ will be 2 cm.

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Answer:

n = -4

Step-by-step explanation:

let the number = n

eight less than = .... minus 8

five times a number =n * 5

eight less than five times n = n * 5 minus 8 = n*5 -8

is means equal to

four more than = .... plus 4

eight times the number = n* 8

four more than eight times the number = n*8+4

n*5-8 is n*8 +4

n*5-8=8n+4

subtract 5n from both sides to put all variables and coefficients on one side

-8 = 3n + 4

subtract 4 from both sides to isolate the variable and coefficient

-12 = 3n

divide both sides by 3 to get n

n = -4

Answer:

y = x - 2

Step-by-step explanation:

5x - 2 = 8 + 5y ( subtract 8 from both sides )

5x - 10 = 5y ( isolate y by dividing both sides by 5 )

[tex]\frac{5}{5}[/tex] x - [tex]\frac{10}{5}[/tex] = y , that is

y = x - 2

Answer:

the first one

Step-by-step explanation:

Answer: The reason that you would use addition to check subtraction is because it is the easiest, fastest, and most reliable way to check your subtraction problem.

Step-by-step explanation:

for example. you do something like: 42 - 19 = 23

you just add 19 and 23. if you get 42 then that means your answer if correct.

hope it helps

a. The stand form is f(x) = x^3 - 13x - 12

degree = 3

constant term = - 12

b. The stand form is g(x) = 3 x^3 - 39x - 36

degree = 3

constant term = - 36

Given data

f(x) = (x + 1)(x+3)(x-4)

g(x) = 3(x + 1)(x+3)(x-4)

for f(x) = (x + 1)(x+3)(x-4) we have

f(x) = (x + 1)(x+3)(x-4)

f(x) = ( x + 1 ) ( x^2 - 4x + 3x - 12 )

f(x) = (x + 1) ( x^2 - x - 12 )

f(x) =  x^3 - x^2  - 12x +  x^2 - x - 12

f(x) = x^3 - 13x - 12

degree = 3

constant term = -12

g(x) = 3(x + 1)(x+3)(x-4)

g(x) = 3(x + 1) ( x^2 - 4x + 3x - 12 )

g(x) = 3(x + 1) ( x^2 - x - 12 )

g(x) = 3 (  x^3 - x^2  - 12x +  x^2 - x - 12 )

g(x) = 3 ( x^3 - 13x - 12 )

g(x) = 3 x^3 - 39x - 36

degree = 3

constant term = - 36

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Answer:

Step-by-step explanation:

C(3) means the cost of transporting 3 crates of sugar.

It is calculated by substituting the value of n into equation:

The cost of transporting 3 crates of sugar is 460 dollars