Which of the following equations has the same graph as 2x + 3y = 12?
Select all that apply.

A. y-2=-2/3(x-3)
B. x+3/2y=6
c. -2x-3y = - 12
D. y-2=-2/3x+4
E. y=-2/3x+4

Volume of the cylinder = πr²h

see explanation below

A cylinder comprises of two circles and a curved part.

To get the volume, we would multiply the area of the circle with the height of the cylinder

The height of the cylinder is the distance between the two circular ends

Area of a cirlce is pi multiplied by radius squared

Area of circle = π×r² = πr²

where r = radius

h = height of the cylinder

Volume of the cylinder becomes = πr² × h

Volume of the cylinder = πr²h

Answer:

The polar form is

r = √11a

Explanation:

The given equation is

x^2 + y^2 = 11a

Recall,

x = rcosθ

y = rsinθ

By substituting these values into the equation, we have

(rcosθ )^2 + ( rsinθ)^2 = 11a

r^2cos^2θ + r^2sin^2θ = 11a

r^2cos^2θ + r^2sin^2θ - 11a = 0

By factorizing r^2, we have

r^2(cos^2θ + sin^2θ) = 11a

Recall, cos^2θ + sin^2θ = 1

Thus, we have

r^2 = 11a

Taking the square root of both sides,

r = √11a

The polar form is

r = √11a

The probability of the company's order from first-time customers with the sample proportion less than 0.28 will be 0.6103.

Total percent of company’s orders from first-time customers are 35%

Probability of the company's orders from first-time customers are 35/100 = 0.35.

Total number of customers in the random sample is 62.

Minimum given probability of company’s order from first time customers is 0.28

And the minimum probability of company’s order not from first time customers will be 1 - 0.28 = 0.72

Therefore,

As per the given question, Let P(z<0.28) is the required probability, where

Z = (0.28 - 0.35)/sqrt(0.28x0.72/62)

  = (0.28 - 0.35)/sqrt(0.28x0.0112)

  =(0.28 - 0.35)sqrt(0.003250)

  = (-0.07)/sqrt(0.003250)

  = -0.07/0.057

  = -1.228

From the z-score, we can get P( z<0.28 ) = 0.6103 ( From standard normal table )

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The given function is

This equation represents a parabola which is expressed in its vertex form

Where (h,k) is the vertex. Using this rule, the vertex of the given parabola would be (6,8).

Answer:

:-f(x)=x²-2x-24

Step-by-step explanation:

according to the rules of polynomial

f(-4) is the same thing as (x+4)

f(6) is the same thing as (x-6)

how?

x+4=0; x=-4

x-6=0; x=6

(x+4)(x-6)

x²-6x+4x-24

x²-2x-24

:-f(x)=x²-2x-24

award me

we have the points

A (1,-2) and B(5,3)

Find out the point (x,y) that divide the segment AB in a ratio 2:3

that means

AX/XB=2/3

step 1

Find out the horizontal distance AB

ABx=5-1=4 units

Find out the vertical distance AB

ABy=3-(-2)=5 units

step 2

we have that

the horizontal distance between A and x is

AX/XB=2/3

AX=(2/3)XB -----> equation 1

AX+XB=4 -----> equation 2

substitute equation 1 in equation 2

(2/3)XB+XB=4

(5/3)XB=4

XB=12/5

XB=2.4

the x-coordinate of X is

x=5-2.4=2.6

Find out the y-cpoordinate

AX=(2/3)XB -----> equation 1

AX+XB=5 ------> equation 2

substitute equation 1 in equation 2

(2/3)XB+XB=5

5/3(XB)=5

XB=3

the y-coordinate of X is

y=3-3=0

answer is

the coordinate of the point is (2.6,0)

Let's take a look at our triangle:

Using the law of cosines, we'll get that:

Solving for angle G, we'll get:

This way,

Given: X-3(x+2)=4X-3(x+2)=4

Find: the solution of the given equation

Explanation:

on solving equation (1) and (2) , we get

Answer:

x = -5

Step-by-step explanation:

    x - 3(x + 2)= 4

    x - 3x - 3*2 = 4     {Distributive property}

   x - 3x  - 6    = 4

Combine like terms in LHS,

         -2x - 6  = 4

Add 6 to both sides,

               -2x = 4 + 6

               -2x = 10

Divide both sides by (-2)

                   x = 10 ÷ (-2)

                   [tex]\sf \boxed{x= -5}[/tex]

If all of the ratios of the variables are equal, then there is a proportional link between the two variables.

One variable is usually a constant value multiplied by the other in proportional interactions. The proportionality constant is the name given to the constant value.

A set of equal ratios connected to one another by a constant of proportionality make up a proportional relationship between two quantities. Different, related representations of proportional connections include tables, equations, graphs, and written descriptions.

We'll now look at a real-world illustration of a proportionate relationship: There is a correlation between the quantity of fuel we put in our car's tank and the price we will have to pay when we fill it up. In other words, we will pay more money the more gas we put in.

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Let the three consecutive even number be,

x, x+2, x+4

Sum of the numbers is 1002.

Hence, the numbers are,

332, 332+2, 332+4

Hence, the answer is 332, 334, 336.

To calculate the periodic payment (PMT) we use the following formula:

Where "FV" is the Future Value, "i" is the interest rate, and "n" is the number of periods. Replacing the known values we get:

Solving the operations:

The coordinates of a slope triangle that could be on the line shown include

A slope triangle is a hypothetical triangle that aids in determining a line's or line segment's slope.

The line whose slope you are interested in learning is the triangle's hypotenuse (the diagonal). The slope formula's "rise" and "run" values are the two "legs" of the triangle.

With this idea, the slope triangle is drawn and the image is attached.

The coordinates should be able to form a right triangle which is used in slope calculation

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ANSWER

Yes, it can.

EXPLANATION

First of all, let us sort the data according to increasing value:

Time (minutes) 18 20 20 22 22 23 25 30

Duration (minutes) 38 40 42 41 42 44 47 52

As we can already see, the duration of the ride seems to increase as the amount of time after 8 am that she got on the bus.

This means that the Duration of the ride and the time Layne got on the bus have a linear relationship and so, YES, the duration of the ride can be represented as a function of the time Layne got on the bus.

In 49 minutes the car will travel 2/147 miles

In 60 minutes the car will travel 1/90 miles

The concept of average speed is used here. The formula is

= distance covered / time

= 2 1/3 / 3 1/2

= 2.3333 / 3.5

= 2/3

= 0.6667 miles per minutes

In 49 minutes

2/3 = distance  / 49

distance = 2/3 / 49

distance  = 2/147

= 0.0136 miles

In one hour = 60 minutes

distance = 2/3 / 60

distance = 1/90

= 0.0111 miles

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Answer:

Your answer would be 7,600.

Step-by-step explanation:

7,605 rounded to the nearest hundred would be 7,600 because:

The 7 is the thousands.

The 6 is the hundreds.

The 0 is the tens

The 5 is the ones.

So, we need to find which number makes sense to round. Is 605 closer to 600 or 700? 600. So, we have: 7,600

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Answer:

A=151

B= 29

Step-by-step explanation:

The equation can be used for "the total cost of buying x chocolate bars, such that each one costs $3.50"

Here we have the linear equation:

y = 3.5*x

And we want to make a word problem that can be represented by this.

The simplest example would be something like "the total cost of buying x items of a cost equal to the constant of proportionality"

So let's suppose that there is a chocolate bar in a given store that costs $3.50 per unit.

So, if you buy x of these, the total cost will be modeled (in dollars) by the equation:

y = 3.50*x

Which is the same equation that we have above:

y = 3.5*x

Where the second 0 on the constant factor is trivial and can not be written.

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Given function : g(x)=3log(x+7) -8

A function is said to be increasing if the derivative of the function is greater than 0,

and it said to be decreasing tof the derivative of the function is less than 0,

Differentiate the given function with respect to x,

at x >7 , the function g(x) will be decreasing

at x <7 the function g(x) will be increasing.

Answer:

5x-1y

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. (1.5x+3.5x)-(0.25y+0.75y)

2. 5x-y

3. The answer is 5x-y.

Answer: $5 for each vinyl,$4 for each CD,and $1 for each electronic download

Step-by-step explanation:

Answer:

$5 vinyl

$4 CD

$1 every electronic download

Step-by-step explanation:

good luck

th first pic is not a function because a function dont have to values for the same x

the second pic is a function because each value of x has a different result

the third pic is a function because each value of x has a different result

so the first relation is not a function

Number of women's are 9,078.83.

What is Proportional?

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

In​ 2005, 10.9 out of every 50 employees at a company were women.

Now,

Since, In​ 2005, 10.9 out of every 50 employees at a company were women.

Let number of women's in 41,646 total company​ employees = x

So, We can formulate by the definition of proportion as;

⇒ 10.9 / 50 = x / 41,646

Solve for x as;

⇒ 10.9 × 41,646 / 50 = x

⇒ x = 9,078.83

Thus, Number of women's are 9,078.83.

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Step-by-step explanation:

x^y × x^3 = 1/(x^2) = x^(-2)

that means

y + 3 = -2

y = -5

the missing exponent is -5

x^(-5) × x^3 = 1/(x^2)

Answer:

Step-by-step explanation:

Hi Ashley,    this looks harder than it really is  :)

recall your powers rules

so  [tex]x^{2}[/tex]  *  [tex]x^{2}[/tex] = [tex]x^{2+2}[/tex]=[tex]x^{4}[/tex]

knowing that you can probably figure this out.  But I'll help anyway

[tex]x^{?+3}[/tex] = 1 / [tex]x^{2}[/tex]

now flip over the fraction to make this even easier

[tex]x^{?+3}[/tex] = [tex]x^{-2}[/tex]

ohhhh  I bet you can see it now, huh

we just need  3 plus something to equal -2

that's negative 5 ,  right???

[tex]x^{-5+3}[/tex] = [tex]x^{-2}[/tex]

ahh, nice  , now just break it back up

[tex]x^{-5}[/tex] * [tex]x^{3}[/tex] = 1 / [tex]x^{2}[/tex]

got it???

By using properties of angles, it is obtained that

x = 18.5°, y = 37°

Angle

When two straight lines intersect, an angle is formed. The point of intersection is called the vertex of the angle and the lines are called the arms of the angle.

Here,

[tex]\angle COF = 90^{\circ}\\[/tex]

By the problem,

4x + 90  + 16 = 180 [Angle on a straight line]

4x + 106 = 180

4x = 180 - 106

4x = 74

[tex]\\x = \frac{74}{4}\\x = 18.5^{\circ}[/tex]

AB and CD are straight lines

[tex]\angle DOB = 16^{\circ}[/tex]  [Vertically opposite angle]

By the problem,

90 + 2y + 16 = 180 [ Angle on a straight line]

2y  + 106 = 180

2y = 180 - 106

2y = 74

[tex]y = \frac{74}{2}\\y = 37^{\circ}[/tex]

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Given the following expression:

notice that the right side of the equation has a decimal number that goes up to the thousandth, therefore, the missing exponent in the equation is 3, since:

About 3 full cones of water are needed to be added to the cylinder to completely fill it.

The radius of the right circular cone is 3cm and the slant height is 5 cm.

The height of the cone can be found as,

H = √(5)²- (3)²

H = 4cm

The volume of the cone is given by,

V = πR²H/3

R is the radius and H is the height of the cone,

Putting values,

v = π x 5 x 5 x 4/3

v = 104.71 cm³

Now, the height h of cylinder is given to be 6 cm and the radius r of the cylinder is 4cm.

The volume of the cylinder is given as,

V = πr²h

V = π x 4 x 4 x 6

V = 301.59

Let us assume that we have to add n full cones of water to completely fill the cylinder, so, we can write,

nv = V

Putting values,

n104.71 = 301.59

n = 2.85

So, we have to add roughly three full cones of water to completely fill the cylinder.

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This is a way we can organize a linear equation:

[tex]y=mx+b[/tex]

We're given:

[tex]12x + 4y = 8[/tex]

To organize this equation in slope-intercept form, we have to focus on isolating y:

[tex]12x + 4y = 8\\4y = - 12x +8\\y = - 3x +2[/tex]

[tex]y = - 3x +2[/tex]

The answer is y= negative 3 plus 2

Nick will write

Date i.e. 11/5/20XX, Description i.e. Pay James, Check Number i.e. 123, Debit i.e. $150.32, Balance i.e. $X - $150.32.

The New balance will be $X - $150.32, where $X is the previous balance.

Given, that Nick writes a check to his friend James Sloan for $150.32 on May 11.

Let suppose Nick had an 'X' amount in his bank account.

He will fill the check register like this

Date           Description       Check Number       Debit       Credit     Balance

11/5/20XX                                                                                                $X

11/5/20XX   Pay James              123                  $150.32              $X-$150.32

Hence, Nick will write

Date i.e. 11/5/20XX

Description i.e. Pay James

Check Number i.e. 123

Debit i.e. $150.32

Balance i.e. $X - $150.32

The New balance will be $X - $150.32 i.e. $150.32 subtracted from the previous balance.

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For PART A: the height of the pole in the right angle triangle is 30 ft and the correct option is C

For PART B: the lenght of wire 1 in the right angle triangle is 45 ft and the right option is D

A right-angled triangle is a polygon of three sides having one angle as 90 degrees(right angle).

Part A

To calculate the height of the pole in the right angle triangle, we use the formula below.

Formula:

From the diagram,

Given:

Substitute these values into equation 1 and solve for P

Part B

Similarly, fine the length of wire 1, we use the formula below.

Formula:

From the diagram,

Given:

Substitute these values into equation 2 and solve for x

Hence, the height of the pole is 30 ft and the lenght of wire 1 is 45 ft.

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Answer:

Step-by-step explanation: