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Answer:

C

Step-by-step explanation:

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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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:

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:

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

Answer:

The answer is True.

Step-by-step explanation:

Answer:

I believe rectangle.

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

the answer is a x equal to or greater than

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:

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:

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:

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:

13 dollars would be the answer you're welcome lol

Answer:

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

Step-by-step explanation:

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

=4(xy−4)

3xy−x

=x(3y−1)

2x²−18x+12

=2(x²−9x+6)

5xy+20x−9y−36

=(y+4)(5x−9)

Answer:

Jeremy is 12 years old

Step-by-step explanation:

Jeremy age=X

Sister age=Y

1. X+Y=29 (sum of their ages)

2. X=Y-5 (he is 5 years younger than his sister)

*Substitute eq 2 into eq 1

Y-5+Y=29

2Y=29+5

2Y=36 (divide both sides by 2)

Y =17

Substitute value of Y into eq 1 to find X

X+17=29

X=29-17

X= 12

Checking answer:

12+17=29

17-5=12

Hence why Jeremy is 12

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:

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!

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!

[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:

 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:

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

Answer:

27 revolutions

Step-by-step explanation:

Things to remember :

Solving

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

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:

[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:

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: