Find the equation of the perpendicular from the point P(-1,-2) on the line
3x + 4y - 12 = 0. also find the coordinates of the foot of the perpendicular.

​

By taking the quotients between the cost and the volume of each refrigerator, we will see that the best buy is the second option.

To get this, we just need to take the quotient between the cost of the refrigerators and their volume.

Remember that the volume of a cube of side length S is V = S^3

For the first one, the cost is $98 and the side length is 1.5ft, so the volume is:

V = (1.5ft)^3 = 3.375 ft^3

The cubic per square foot is:

C = ($98/3.375 ft^3) = $29.04 per cubic foot.

For the second refrigerator, the side length is 2.1 ft and the cost is $142. Then the volume is:

V = (2.1 ft)^3 = 9.261 ft^3

The cost per cubic foot is:

C = ($142/9.261 ft^3) = $15.33 per cubic foot.

For the third refrigerator, the side length is 1.75 ft and the cost is $124.

So the volume will be:

V = (1.75 ft)^3 = 5.3594 ft^3

Then the cost per cubic foot is:

C = ($124/5.3594 ft^3) = $23.14 per cubic foot.

So, as we saw, the best buy will be the second option, because it has the lowest price per cubic foot.

If you want to learn more about volumes, you can read:

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Answer:

I got 142

Step-by-step explanation:

Answer:

In 2011, Americans used 1.86x10" kilowatt-hours to light their home kilowatt-hours to run their computers and computer equipment. Circle the number that correctly completes the statement

Step-by-step explanation:

hope this helped

Answer:

[tex]\sf \dfrac{1}{7}[/tex]

Step-by-step explanation:

Given labeled tiles: B, C, D, E, F, G, H

Total number of tiles = 7

Vowels = A, E, I, O and U

⇒ Total number of vowel tiles in bag = 1

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

[tex]\implies \sf Probability\:of\:picking\:a\:vowel= \dfrac{Number\:of\:vowel\:tiles}{Total\:number\:of\:tiles}=\dfrac{1}{7}[/tex]

Answer:

where is the puzzle??

Step-by-step explanation:

Answer:

the purple trapezoid = 15

the moon = 15 -4 = 11

Step-by-step explanation:

The two sides are equal so 30÷2=15

the two diamonds are worth 2 each 2×2=4

the purple trapezoid = 15

the moon = 15 -4 = 11

What do you mean by answer? you cannot solve for a numerical value without setting it equal to anything.

the only thing you can do is factor out a 2

2(-x +2)

40/6 = 6.666... in each container

hope it helps...!!!

Answer:

[tex]6\frac{2}{3}\text{ pounds}[/tex]

Step-by-step explanation:

The baker must have equal amounts in all countainers. Therefore we need to use division to solve this question.

Therefore we get:

[tex]\frac{40}{6}[/tex]

Simplify the fraction:

[tex]\frac{20}{3}[/tex]

Write it as a mixed fraction:

[tex]6\frac{2}{3}[/tex]

6 2/3 pounds will be in each container.

Answer:

30

Step-by-step explanation:

We must apply a formula here in order to solve this problem.

(aka as the Angles Outside Circle Therom)

X=1/2(Outer Arc- Inner Arc)

Our Inner arc is 150, to find the outer arc we do 360-150 which is 210

Now that we have both arcs, we plug them into the equation.

X=1/2(210-150)

X=1/2(60)

X=30

Answer: i think you need a math tutor

Answer:

24

Step-by-step explanation:

Plato

Answer:

236.6

Step-by-step explanation:

Answer:

240 ml

Step-by-step explanation:

Answer:

This chart is correct

Step-by-step explanation:

I did this lesson

Answer:

y = 5/6x+ 3

Step-by-step explanation:

Given

Solving

Answer:

12,904 sec

Step-by-step explanation:

Each hour is 3600 seconds

each minute is 60 seconds

3600 * 3    +   35 *60   + 4 =

From the calculations, Gerald will now have to pay the sum of $145.50 towards his monthly health insurance.

Note that the first sum being contributed by Gerald is (100%- 65%) of $345. This is 35% of $345 = $120.75

If his employer takes up 50% of $38, this leaves his contribution for dental as 50% of $38 = $19

Also if his employer takes up 75% of $23, his contribtuion for vision premium is 25% of 23 = $5.75

Hence his total contribution is now:
120.75 + 19.00 + 5.75 = $145.50

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An equation is formed of two equal expressions. The simplest form of the equation (81x⁸y⁵)⁰°²⁵ is 3x²y(y⁰°²⁵).

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The simplest form of the equation [tex]\sqrt[4]{81x^8 \times y^5}[/tex] can be written as,

[tex]\sqrt[4]{81x^8 \times y^5}\\\\= (81x^8 \times y^5)^{\frac14}\\\\= (3^4x^8 \times y^4 \times y)^{\frac14}\\\\= 3^{(\frac14 \times 4)} \times x^{(\frac14\times 8)} \times y^{(\frac14 \times 4)} \times y^{(\frac14 \times 1)}\\\\=3 \times x^2 \times y \times \sqrt[4]{y}\\\\=3x^2y \sqrt[4]{y}[/tex]

Thus, the simplest form of the equation (81x⁸y⁵)⁰°²⁵ is 3x²y(y⁰°²⁵).

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Answer:

its b

Step-by-step explanation:

on edge 2022

Answer:

Around 120,000 bacteria.

Multiply the amount of estimated bacteria by the amount of square millimeters.

[tex]10,000 * 12 = 120,000[/tex]

The total closing cost is 3. 5% of the amount of the mortgage. So, the total amount would be $10500.

An initial payment made when something is bought on credit to make the down payment.

First National Savings & Loan is willing to lend them money at 6. 5% for 25 years, provided the MacAllister's can make a $79,900 down payment.

$379,900 - $79,900 =$300,000

because down payments are never included with the total mortgage loan.

The total closing cost is 3. 5% of the amount of the mortgage.

3.5 percent for closing costs

= [tex]3.5/100 \times 300000\\\\3.5 \times 3000\\\\10500[/tex]

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Answer:

x = 1

Step-by-step explanation:

Answer:

2•5s+s

10s+s

11s

the first one

Answer:

start by thinking step by step

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

to solve this we need to find how frequent pink is landed on. to find the frequency we add all the total

12+6+9+13=40

then we divide 6 (frequency of pink) by 40 to fing how frequent 6 is in percentage

6÷40=.15=15%

then we multiply 15% by 120

120×.15= 18

The correct description for the polar function, r = 6sin(θ) is: D. Circle symmetric on the line theta = 0, with a radius of 6.

In Mathematics, the relationship between the polar coordinates (r, θ) and rectangular coordinates (x, y) is given by these polar functions:

On the horizontal plane:

x = rcosθ

On the vertical plane:

y = rsinθ

Where:

In conclusion, the correct description for the polar function, r = 6sin(θ) is circle symmetric on the line with an angle (θ) equal to zero (0) and a radius of 6.

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Answer:

The radius is 32

Step-by-step explanation:

V= πr2h

So,

3.14(18)(x)=1808.64

56.52x=1808.64

= 32.

Answer:

D

Step-by-step explanation:

If you look at the right side of each piecewise function, you will see the x-values. That is what we will be focusing on in this explanation. All four equations have x > 4, and we know that to be true. If you look at the equation on the graph going South West, you will see that the endpoint is at x=1. Only 1 equation, D, has this in the piecewise function. To confirm it is D, you can see that 1<x<4 is also in the piecewise function, and all the values line up with their corresponding y-values.

Hope this helps! :)

Answer: $0.15/Yr

Step-by-step explanation:

Difference in year 2010- 1975= 35

Range = 7.25 - 2 = 5.25

Per year = 5.25/ 35

Answer:

s part a i don't know what the question is asking, I think n n n the are the same equation

a part b is 9

p

Step-by-step explanation:

I know that 5*9 equals 45 so basically it turns into

5(9)=45

45+2=47

dsan168

Answer:

x=6

Step-by-step explanation:

im smart this is the answer i swear to ahead and try it yw

Answer:

  x = 6

Step-by-step explanation:

To solve an equation for the value of a variable, undo the operations that are performed on that variable. The Order of Operations tells you the order they are performed. The operations can be undone in the reverse order by making use of inverse operations.

__

Here, x is multiplied by 4 and -8 is added to the product. The opposite of -8 is +8, so we can add that to both sides of the equation to "undo" the addition.

  4x -8 = 16 . . . . given

  4x -8 +8 = 16 +8 . . . . add the opposite of the constant

  4x = 24 . . . . . . . . . . simplify

To undo the multiplication, we multiply by the "multiplicative inverse" or "reciprocal" of the coefficient of x. Again, we do this to both sides of the equation.

  (1/4)(4x) = (1/4)(24) . . . . multiply by inverse of 4

  x = 6 . . . . . . simplify . . . . this is the value of x you are looking for

_____

Additional comment

This is called a "2-step" linear equation. The two steps are ...

Note that multiplying by 1/4 is the same as dividing by 4. Adding the opposite of a number is the same as subtracting the number.

The properties of equality tell you that you can do anything you like to an equation, as long as you do the same thing to both sides of the equation. When solving equations, this is the one rule that you must never violate.

Answer

first term put n=1 that is equal to 3