simplify 1/6^3 divided by 1/36

[tex]5x+11x=16x[/tex]

To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Distributive Property:

[tex](5x+10x)+(5x+1x)[/tex]

   /    \              /    \

   [tex](16x)[/tex]             [tex](6x)[/tex]

Therfore, by using the distributive property, [tex](5x+10x)+(5x+1x)[/tex], We get [tex]16x[/tex].

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Answer:

y-intercept= (0,7) and rate of change=

Step-by-step explanation:

The y-intercept of a graph is the point on the graph where it intersects the y-axis or where x=0. In this case it is (0,7) so that is the y-intercept. The rate of change is equal to y2-y1 divided by x2-x1. Basically, just pick 2 random points on the line and subtract their y coordinates, then subtract their x-coordinates and divide the answers with each other. So, one point is (0,7) and another point is (2,4). Therefore, rate of change is 7-4 divided by 0-2. This gives us a rate of change of -3/2

The shape ABCDE is a regular pentagon with five sides, such that the five sides are congruent

The angle BAE is a vertex angle, and it is calculated using:

BAE = 180 * (n - 2)/n

Where n= 5; i.e. the number of sides.

This gives:

BAE = 180 * (5 - 2)/5

Evaluate

BAE = 108°

Hence, the measure of angle BAE is 108°

When the vertices A and B are joined together, the shape becomes a trapezoid.

Hence, the name of the quadrilateral ABCD is a trapezoid.

See attachment for the new figure.

From the attached figure, we have:

∠EDX + ∠EDC = 180° ---- the sum of angles on a straight line

Where:

∠EDC = ∠BAE = 108°

So, we have:

∠EDX + 108° = 180°

Subtract 108° from both sides

∠EDX = 72°

Hence, the measure of angle EDX is 72 degrees

The quadrilateral BDXE is a parallelogram.

This is so because the opposite sides of BDXE are parallel, but not congruent

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Answer:

I believe rectangle.

Step-by-step explanation:

Answer:

The value of a side = 5

Step-by-step explanation:

By using PGT theoram

H² = P² + B²

=> 13² = a² + 12²

=> 13² - 12² = a²

=> 169 -144 = a²

=> 25 = a²

=> √25 = a

=> 5 = a

Answer:

a = 5

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

a² + 12² = 13²

a² + 144 = 169 ( subtract 144 from both sides )

a² = 25 ( take square root of both sides )

a = [tex]\sqrt{25}[/tex] = 5

Answer:

The answer is True.

Step-by-step explanation:

Answer: The answer to this is 3000,

Step-by-step explanation:  

I think this is the answer because when you find out what 20% of 75000 is, (which is 15000) you can divide 20% by 5 and there is your answer, i hope this helps

Answer:

see explanation

Step-by-step explanation:

2 chords intersecting inside a circle , then the product of the parts of one chord is equal to the product of the parts of the other chord.

6

BE × ED = AE × CE , that is

10 × 3x = 12(2x + 1) ← distribute parenthesis by 12

30x = 24x + 12 ( subtract 24x from both sides )

6x = 12 ( divide both sides by 6 )

x = 2

then

ED = 3X = 3(2) = 6

7

RJ × JP = SJ × JQ , that is

6 × 3x = 4(4x + 1) ← distribute parenthesis by 4

18x = 16x + 4 ( subtract 16x from both sides )

2x = 4 ( divide both sides by 2 )

x = 2

then

RP = RJ + JP = 6 + 3x = 6 + 3(2) = 6 + 6 = 12

Answer:

 x = -3 , - 15

Step-by-step explanation:

Given:

x² + 18x + 45 = 0

Solve:

[tex]x_{1,\:2}=\frac{-18\pm \sqrt{18^2-4\cdot \:1\cdot \:45}}{2\cdot \:1}[/tex]

Simplify

[tex]-18\pm \sqrt{18^2-4\cdot \:1\cdot \:45=12[/tex]

[tex]x_{1,\:2}=\frac{-18\pm \:12}{2\cdot \:1}[/tex]

Separate the solution

[tex]x_1=\frac{-18+12}{2\cdot \:1},\:x_2=\frac{-18-12}{2\cdot \:1}[/tex]

[tex]x_1=\frac{-18+12}{2\cdot \:1}=-3[/tex]

[tex]x_2=\frac{-18-12}{2\cdot \:1}=-15[/tex]

Thus, the answer are:

[tex]x=-3,\:x=-15[/tex]

Kavinsky

Answer:

C

Step-by-step explanation:

Answer:

13 dollars would be the answer you're welcome lol

the answer is a x equal to or greater than

Answer:

DE=18

Step-by-step explanation:

The reason is because that parallelogram ABCD has most of the sides equal to each other.

The length of DB = 36 and half of 36/2 gets us DE.

DE=36/2=18

DE=18 also equals to BE=18

Diagonals of a parallelogram bisect each other

So

Putting DE=BE

Answer:

[tex]\sf \boxed{\bold{x=1}}[/tex]

Explanation:

[tex]\rightarrow \sf 7 log_9 (x + 8) = 7[/tex]

divide both sides by 7

[tex]\rightarrow \sf \dfrac{7\log _9\left(x+8\right)}{7}=\dfrac{7}{7}[/tex]

simplify the following

[tex]\sf \rightarrow \log _9\left(x+8\right)=1[/tex]

apply log rules                   [tex]\underline{The \ rule}: \ \bold{log_{b} (a)= c} \ \ \Longrightarrow \sf a = b^c[/tex]

[tex]\sf \rightarrow x+8 = 9^1[/tex]

simplify

[tex]\sf \rightarrow x+8=9[/tex]

subtract both sides by 8

[tex]\sf \rightarrow x=1[/tex]

[tex]\\ \rm\Rrightarrow 7log_9(x+8)=7[/tex]

[tex]\\ \rm\Rrightarrow log_9(x+8)=1[/tex]

[tex]\\ \rm\Rrightarrow x+8=9^1[/tex]

[tex]\\ \rm\Rrightarrow x+8=9[/tex]

[tex]\\ \rm\Rrightarrow x=9-8[/tex]

[tex]\\ \rm\Rrightarrow x=1[/tex]

Answer:

The volume of the cylinder is 141.23 cubic feet

Step by step explanation :

Given-

Now, we know that

where, r is the radius of the cylinder & h is the height of the cylinder.

Now,

Volume of the cylinder = [tex] \frac{22}{7} \times {3}^{2} \times 5[/tex]

[tex] = \frac{22}{7} \times 3 \times 3 \times 5[/tex]

[tex] = 141.428571[/tex] ( approximately )

[tex] = \boxed{ 141.43 \: \mathfrak { {ft}^{3}} }[/tex]

Answer:

$14.55

Step-by-step explanation:

=4(xy−4)

3xy−x

=x(3y−1)

2x²−18x+12

=2(x²−9x+6)

5xy+20x−9y−36

=(y+4)(5x−9)

Answer:

27 revolutions

Step-by-step explanation:

Things to remember :

Solving

Answer:

about 2195 bacteria

Step-by-step explanation:

After one hour: 800 * 1.4 = 1120

After two hours: 1120 * 1.4 = 1568

After three hours: 1568 * 1.4 = 2195.2

Answer:

Part 1: [ -4 = -8 ]

Part 2: Inconsistent

Step-by-step explanation:

Part 1

1. Move all terms that don't contain x to the right side:

3x - 6y+6y = -12+6y

= 3x = -12 + 6y

2. Isolate x:

[tex]\frac{3x}{3} = \frac{-12+6y}{3}[/tex]

x = -4 + 2y

3. Substitute the new expression into the original:

-4 + 2y - 2y = -8

4. Simplify:

-4 + 0 = -8

[ -4 = -8 ]

Part 2

The two solutions are not equal in value, so, we can conclude that the system of equations has no solution, or is inconsistent.

hope this helps!

The constant of variation given that  r varies directly with p and inversely with the product of s and t is one-half

r ∝ p ∝ 1/st

r ∝ p / st

r = Kp / st

Cross multiply

r × st = Kp

Divide both side by p

K = rst / p => constant of variation

K = rst / p

K = (18 × 1/6 × 2) / 12

K = 6 / 12

K = 1 / 2 = one-half

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The probability of getting less than 40% of employees wearing khaki pants in a random sample of 50 employees is 0.18.

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

In a large company, 45% of the employees wear khaki pants on a daily basis.

40% of employees wearing khaki pants in a random sample of 50 employees

So, 40% of 45% x 50

= [tex]0.40 \times 0.45 \times 50 \\ \\9[/tex]

The probability of getting less than 40% of employees wearing khaki pants in a random sample of 50 employees.

= 9 /50

= 0.18

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Answer:

1) surface area = 2 · π · r · (r + h)

2) 8x5x6x14x8.94

3) surface area = 2 · π · r · (r + h)

4) 8x14x6

5) 4x4x8

6) 7x8.95x13

7) 3x4x11x3.61 divide by 2

8) 6x6x6 = 36x6 = 216

9) 3x4x10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

81

Step-by-step explanation:

-45 minus 35 is -80 so that's  80 units. and including zero it's 81 units

Answer:

the answer is B, the graph of g(x) is the graph of f(x) shifted to the right 6 units. hope this helps!

Answer:

C. The graph of g(x) is the graph of f(x) shifted to the left 6 units.

Hope this helps and good luck!

Answer:

The radius is 7 cm

Step-by-step explanation:

We know the area of a circle is given by

A = pi r^2

49 pi = pi r^2

Divide each side by pi

49 = r^2

Take the square root of each side

sqrt(49) = sqrt(r^2)

7 = r

The radius is 7 cm

Answer:

radius = 7 cm

Step-by-step explanation:

the area (A) of a circle is calculated as

A = πr² ( r is the radius )

given A = 49π , then

πr² = 49π ( divide both sides by π )

r² = 49 ( take square root of both sides )

r = [tex]\sqrt{49}[/tex] = 7

Answer:

Step-by-step explanation:

The graph that represents the function

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

crosses the x-axis three times: at x = -4, x = -1, and x = 3

because we apply the zero product rule and found the roots -4, -1, and 3

x+ 4= 0 → x = -4

x+1 = 0 → x = -1

x-3 = 0 → x = 3

Answer:

77

Step-by-step explanation:

75% of 44 = 33

33 + 44 = 77

Answer:

77.

Step-by-step explanation:

75% of 44

= 3/4 * 44

= 33

33+44

= 77.

Answer:

14x+6+(5x+30+=2190

Step-by-step explanation:

Answer:

Surface Area = 96

Step-by-step explanation:

Area of Triangle: Area = 1/2 * Base * Height

Area = 1/2 * 6 * 2 = 6

Area = 6

Area of Rectange: Area = Length * Height

Area = 7 * 3 = 21

Area = 7 * 6 = 42

Area = 21

Surface Area = TopTri + BotTri + LeftRect + MidRect + RightRect

Surface Area = 6 + 6 + 21 + 42 + 21 = 96