Which expression is equivalent to ?

Answer:

c=5/72

Step-by-step explanation:

5/9=14c-5/12

Switch sides

14c-5/12=5/9

Add 5/12 tp both sides

14c-5/12+5/12=5/9+5/12

Simplify;

14c-5/12+5/12

=14c

Simplify;

5/9+5/12

LCM of 9, 12;

36

The least common multiplier of a, b is the smallest positive number that is divisible by both a and b.

Prime factorization of 9;

3*3

Prime factorization of 12;

2*6

=2*2*3

=3*3*2*2

=36

5/9=5*4/9*4=20/36

5/12=5*3/12*3=15/36

=20/36+15/36

20+15/36

=35/36

14c=35/36

14c/14=35/36/14

14c/14=c

35/36*14

=35/504

=5/72

Answer c=5/72

Answer to the following question is as follows;

Value of C = 5 / 72

Step-by-step explanation:

Given:

[tex]\frac{5}{9} = 14c - \frac{5}{12}\\\\[/tex]

Find:

Value of C

Computation:

[tex]\frac{5}{9} = 14c - \frac{5}{12}\\\\[/tex]

By taking 5/12 to LHS Side

[tex]\frac{5}{9} + \frac{5}{12} = 14c\\\\[/tex]

By taking LCM;

[tex]\frac{(4)(5) + (3)(5)}{36} = 14c\\\\[/tex]

[tex]\frac{20 + 15}{36} = 14c\\\\[/tex]

[tex]\frac{35}{36} = 14c\\\\[/tex]

By transfer 14 to LHS side

[tex]\frac{35}{36 \times 14 } = c\\\\[/tex]

[tex]\frac{5}{36 \times 2 } = c\\\\[/tex]

[tex]\frac{5}{72} = c\\\\[/tex]

Value of C = 5 / 72

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Answer:

A, B and D are the answers.

Answer:

A, B, D.

Step-by-step explanation:

Answer:

[tex]l = \sqrt[3]{\frac{2V}{7}}[/tex]     [tex]b = \sqrt[3]{\frac{2V}{7}}[/tex]       [tex]h = \sqrt[3]{\frac{49V}{4}}[/tex]

Step-by-step explanation:

Represent the volume of the box with V and the dimensions with l, b and h.

The volume (V) is:

[tex]V = l * b * h[/tex]

Make h the subject of the formula

[tex]h = \frac{V}{lb}[/tex]

The surface area (S) of the aquarium is:

[tex]S = lb + 2(lh + bh)[/tex]

Where lb represents the area of the base (i.e. slate):

The cost (C) of the surface area is:

[tex]C = 7 * lb + 1 * 2(lh + bh)[/tex]

[tex]C = 7lb + 2(lh + bh)[/tex]

[tex]C = 7lb + 2h(l + b)[/tex]

Substitute [tex]\frac{V}{lb}[/tex] for h in the above equation

[tex]C = 7lb + 2*\frac{V}{lb}(l + b)[/tex]

[tex]C = 7lb + \frac{2V}{lb}(l + b)[/tex]

[tex]C = 7lb + \frac{2V}{b} + \frac{2V}{l}[/tex]

Differentiate with respect to l and with respect to b

[tex]C_l=7b - \frac{2V}{l^2}[/tex] [tex]=0[/tex]

[tex]C_b=7l - \frac{2V}{b^2}[/tex] [tex]=0[/tex]

To solve for b and l, we equate both equations and set l to b (to minimize the cost)

[tex]7b - \frac{2V}{l^2}=7l - \frac{2V}{b^2}[/tex]

[tex]7l - \frac{2V}{l^2}=7b - \frac{2V}{b^2}[/tex]

By comparison:

[tex]l =b[/tex]

[tex]C_l=7b - \frac{2V}{l^2}[/tex] [tex]=0[/tex] becomes

[tex]7l - \frac{2V}{l^2}=0[/tex]

[tex]7l = \frac{2V}{l^2}[/tex]

Cross Multiply

[tex]7l^3 = 2V[/tex]

Solve for l

[tex]l^3 = \frac{2V}{7}[/tex]

[tex]l = \sqrt[3]{\frac{2V}{7}}[/tex]

Recall that: [tex]l =b[/tex]

[tex]b = \sqrt[3]{\frac{2V}{7}}[/tex]

Also recall that:

[tex]h = \frac{V}{lb}[/tex]

[tex]h = \frac{V}{\sqrt[3]{\frac{2V}{7}}*\sqrt[3]{\frac{2V}{7}}}[/tex]

[tex]h = \frac{V}{\sqrt[3]{\frac{4V^2}{49}}}[/tex]

Apply law of indices

[tex]h = \sqrt[3]{\frac{49V^3}{4V^2}}[/tex]

[tex]h = \sqrt[3]{\frac{49V}{4}}[/tex]

The dimension that minimizes the cost of material of the aquarium is:

[tex]l = \sqrt[3]{\frac{2V}{7}}[/tex]     [tex]b = \sqrt[3]{\frac{2V}{7}}[/tex]       [tex]h = \sqrt[3]{\frac{49V}{4}}[/tex]

Answer:

5). x = 11.9°

6). x = 27.2°

Step-by-step explanation:

5). By applying cosine rule in the given triangle,

   cos(32)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

   cos(32)° = [tex]\frac{x}{14}[/tex]

    x = 14cos(32)°  

    x = 11.87

    x ≈ 11.9°

6). By applying sine rule in the given triangle,

    sin(54°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

    sin(54°) = [tex]\frac{22}{x}[/tex]

     x = [tex]\frac{22}{\text{sin(54)}}[/tex]

     x = 27.19°

     x ≈ 27.2°

Answer:

x=27

Step-by-step explanation:

Hey there!

the exterior angles of a quadrilateral add up to equal 360

so 360=2x+40+4x+3x+x+50

step 1 combine like terms

2x+4x+3x+x=10x

50+40=90

now we have

360=10x+90

step 2 subtract each side by 90

360-90=270

90-90 cancels out

now we have 270=10x

step 3 divide each side by 10

270/10=27

we're left with

x=27

Answer:

By the way that it is worded, I believe that you are only allowed to put 1 charm on the bracelet, so there are 9 ways to pick a charm.

Hope this helps(and also if you have a more refined wording please put it in the comments)!

Answer:

By the way that it is worded, I believe that you are only allowed to put 1 charm on the bracelet, so there are 9 ways to pick a charm.

Answer:

65 percent chance right

Step-by-step explanation:

so she opens it 13 out of 20 times, so divide 13 by 20 and you get it

Answer:

There are 160 cats at the store.

Step-by-step explanation:

There are 40 black cats, which is 25% of all the cats. You are trying to find all the cats at the store, or 100% of the cats at the store. So:

40 = 25%

40(4) = 25% (4)

160 = 100%

There are 160 cats at the store.

Answer:

160

Step-by-step explanation:

25%=1/4=0.25

=40×4

=160

4y + 3 > 23          subtract 3 from both sides

4y > 20                divide both sides by 4

y > 5

-2y > -2                divide both sides by -2 (the order changes)

y < 1

(-oo, 1) ∪ (5, oo)

Upvote

SO SORRY IF THESE IS WRONG:(( JUST SAY IT TO ME NOT TO BULLY ME

Answers:

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

Explanation:

The lowest point occurs when y = -2. The highest point occurs when y = 2.

The vertical distance between the highs and lows is 4 units (since 2-(-2) = 2+2 = 4). This cuts in half to get 4/2 = 2.

The amplitude is 2. It measures the vertical distance from the midline to either the peaks or valleys.

-----------------------------

Note that this curve has two lowest points and one highest point shown. What we'll do is shift the graph over to the right so that each of those lowest points snap to a grid point. The lowest point on the left will move to where x = -pi, while the lowest point on the right snaps to x = 3pi/2. We'll keep each point at the same y coordinate.

The horizontal distance from x = -pi to x = 3pi/2 is

(3pi/2) - (-pi) = 3pi/2 + 2pi/2 = 5pi/2

This represents the horizontal distance from the left valley point to the right valley point. This is one full period of the curve. After we arrive at the right valley point, we repeat the process of going up and coming back down in this exact same fashion. The process is repeated forever to generate the cosine curve. The curve repeats itself every 5pi/2 units along the x axis.

Side note: any phase shift of a curve will have the same period as the original curve. This is why we're allowed to shift left or right to help find the period.

Answer:

the answer is 558175

may it help you

Answer:

x

∈

R

y

≤

1

Step-by-step explanation:

Answer:

[tex]y\geq -1[/tex]

Step-by-step explanation:

see graph below for reference

Answer:

0.887966

Step-by-step explanation:

1. Divide by 3500

(5000/3500)(2^x) = (3^x)

2. divide by 2^x and simplify

10/7 = (3/2)^x.

3. apply 'ln' function

ln(10/7) = xln(3/2)

4. divide ln(3/2)

ln(10/7) / ln(3/2) = x

x = 0.87966

Answer:

54, 63

Step-by-step explanation:

6 x 9 = 54

7 x 9 = 63

Answer:

okay the answer 13.02 enjoy

Answer:

it is b              furqufhrfhquh quf hqhf

Step-by-step explanation:bfygefy eyfeyfyewfyefwef eqf  

\fn qf7f

The value of the matrix X is X =  [tex]\left[\begin{array}{ccc}-7&-2\\7&0\\\end{array}\right][/tex].

Matrices are a set of numbers arranged in such a way that the numbers are arranged in rows and columns.

Each number is called element in a matrix.

Given are two matrices.

A = [tex]\left[\begin{array}{ccc}2&-7\\6&1\\\end{array}\right][/tex] and B = [tex]\left[\begin{array}{ccc}-9&5\\1&-1\\\end{array}\right][/tex]

We have given that, a matrix X exists such that,

X - A = B

We can rearrange this as,

X = A + B

Adding the two matrices,

The entries will be,

2 - 9 = -7

-7 + 5 = -2

6 + 1 = 7

1 - 1 = 0

X =  [tex]\left[\begin{array}{ccc}-7&-2\\7&0\\\end{array}\right][/tex]

Hence the X is option A.

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Answer:

C

Step-by-step explanation:

If you graph the points, count boxes from the orgin (0,0).

You will have to go 3 to the right (on x), and up 6 (on y).

Answer:

1.5x-y=6

x-y=5+6

x-y=11

2.x + 6y =4

x+y=6-4

X+y=2

xy=2

SORRY THE WRONG

Step-by-step explanation:

FROM INDONESIAN

Answer:

A,B

Step-by-step explanation:

I think bc I had the same question well something like this in A in B was it

Step-by-step explanation:

Given

GPA = NO + B1Study + B2work + B3leisure + B4sleep + u

1. No it makes no sense. There is an intercorellation between these explanatory variables. Changing study while holding the rest variables constant or fixed would not make sense. If study us changed then one or more of the other predictors should be changed so that they can still be equal to 168

2. Study is a perfect linear function of work, leisure and sleep. There is the problem of multicollinearity among these independent variables. One assumption of the MLR is no multicollinearity.

3. To reformulate model, you have to drop the variable that is having the issue. Let's say that leisure is dropped from the model. After this the assumption is satisfied.

GPA = b0 + B1Study + b2sleep + b3work + u

Answer:

6 units to the right, 3 units down

Step-by-step explanation:

Answer: so here is what you have to do

Step-by-step explanation:Determine Whether a Number

Is a Solution to an Equation

2 Solve Linear Equations

3 Determine Whether an Equation Is a Conditional Equation, Identity, or Contradiction

Preparing for Linear Equations

Before getting started, take this readiness quiz. If you get a problem wrong, go back to the section cited and review the material.

P1. Determine the additive inverse of 5.

P2. Determine the multiplicative inverse of - 3.

P3. Use the Reduction Property to simplify 15 # 5x.

P4. Find the Least Common Denominator of 3 and 5 .

8 12

P5. Use the Distributive Property to remove the parentheses: 61z - 22

P6. What is the coefficient of - 4x?

P7. Simplify by combining like terms: 41y - 22 - y + 5 P8. Evaluate the expression -51x + 32 - 8 when x = -2

P9. Isx = 3inthedomainof 2 ?Isx = -3inthe domain? x + 3

[Section R.3, p. 21] [Section R.3, pp. 23–24]

[Section R.3, pp. 25–26] [Section R.3, pp. 27–28]

[Section R.3, pp. 29–30] [Section R.5, p. 41] [Section R.5, pp. 41–43] [Section R.5, pp. 40–41]

[Section R.5, pp. 43–44]

 In Words

In the equation 2

2 + 5 is the left side of the equation and 0 is the right side. In this equation only the left side contains the variable, y. In the equation 4 +5=-2x+10,theexpression

4 + 5 is the left side of the equation and - 2 + 10 is the right side. In this equation both sides have expressions that contain the variable, x.

1 Determine Whether a Number Is a Solution to an Equation

An equation in one variable is a statement made up of two expressions that are equal, and in the statement, at least one of the expressions contains the variable. The expres- sions are called the sides of the equation. Examples of equations in one variable are

2y + 5 = 0 4x + 5 = -2x + 10 3 = 9 z+2

In this section, we will concentrate on solving linear equations in one variable.

Answer:

D. The same point

Step-by-step explanation:

An equilateral triangle can be defined as a type of triangle that has all of its sides being equal in length.

This ultimately implies that, an equilateral triangle comprises of three (3) congruent sides and as such creates three (3) congruent angles that measures 60° each. Also, the sum of the congruent angles of an equilateral is always equal to 180°.

Hence, in an equilateral triangle, the incenter, orthocenter, circumcenter, and centroid are the same point i.e all of the three (3) centers fall on the same point or spot.

Answer:

Step-by-step explanation:

Is the second exponent 6, or 6x ?

If it is 6x, then x = -½

Answer:

B. L and N

Step-by-step explanation:

Let's solve each system

✔️System L:

3x + y = 8 => Eqn. 1

x - 4y = -6 => Eqn. 2

x = -6 + 4y

Substitute x = (-6 + 4y) in eqn. 1

3(-6 + 4y) + y = 8

-18 + 12y + y = 8

-18 + 13y = 8

13y = 8 + 18

13y = 26

y = 26/13

y = 2

Substitute y = 2 into Eqn. 2

x - 4y = -6

x - 4(2) = -6

x - 8 = -6

x = -6 + 8

x = 2

Solution to system L = (2, 2)

✔️System M:

4x - 3y = 2 => Eqn. 1

5x - 4y = -30 => Eqn. 2

Multiply eqn 1 by 5, and eqn. 2 by 4

20x - 15y = 10

20x - 16y = -120

Subtract

y = 130

Substitute y = 130 into eqn. 1

4x - 3(130) = 2

4x - 390 = 2

4x = 2 + 390

4x = 392

x = 392/4 = 98

Solution to system M = (98, 130)

✔️System N:

4x - 3y = 2 =>Eqn. 1

2x - 8y = -12 => Eqn. 2

Multiply Eqn. 1 by 2, and eqn. 2 by 4

8x - 6y = 4

8x - 32y = -48

Subtract

26y = 52

y = 52/26

y = 2

Substitute y = 2 into eqn. 1

4x - 3(2) = 2

4x - 6 = 2

4x = 2 + 6

4x = 8

x = 8/4

x = 2

Solution to system N = (2, 2)

According to the table, the solutions to the system of equations are x = 0 and x = 1.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the equations are:

[tex]y_1 = 0.25^x[/tex]

[tex]y_2 = -0.75x + 1[/tex]

The solutions are the values of x for which:

[tex]y_1 = y_2[/tex]

Looking at the table, the solutions to the system of equations are x = 0 and x = 1.

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Step-by-step explanation:

perp. -1/2

y + 3 = -1/2(x - 4)

y + 3 = -1/2x + 2

y = -1/2x - 1