One freezer costs $623.95 and uses 90 kilowatt hours (kwh) of electricity each month. A second freezer costs $500 and uses 100 kwh of electricity each month. The expected life of each freezer is 12 years. What is the minimum electric rate in cents per kwh for which the 12-year total cost (purchase price + electricity costs) will be less for the first freezer?

Answer:

y = -2/7x + 2

Step-by-step explanation:

y=mx + b is the slope intercept form of a line.  The b is the y-intercept.  We are given that.  The point (0,2) tells us that the line crosses the y intercept at 2.

Now we have to find the slope.  The slope is the change in y over the change in y.  Given the points (7,0) and (0,2)  The y's are 2 and 0 and the x's are 0 and 7.  Subtract the y's and subtract the x's.

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

Now we can put in the slope and the y-ntercept

y = mx + b

y = [tex]\frac{-2}{7}[/tex]x + 2

If a circle with a radius 3x is inscribed in a square, then the difference between the area of the square and the area of the circle is [tex]9x^{2} (4-\pi )[/tex]

Given,

The radius of the circle = 3x

The area of the circle = [tex]\pi r^{2}[/tex]
Where r is the radius of the circle

Substitute the values in the equation

Area of the circle = [tex]\pi (3x)^{2}[/tex]

=[tex]9x^{2} \pi[/tex]

We know when a circle is inscribed in a square the diameter of the circle is equal to the side of the square

Diameter of the circle = 2× radius

=2×3x

=6x

The area of the square = [tex]a^{2}[/tex]

Where a is the side of the square

Area of the square = [tex](6x)^{2}[/tex]

=[tex]36x^{2}[/tex]

The difference between the area of the square and the area of the circle= Area of the square - Area of the circle

[tex]=36x^{2} -9x^{2} \pi \\=9x^{2} (4-\pi )[/tex]

Hence, if a circle with a radius 3x is inscribed in a square, then the difference between the area of the square and the area of the circle is [tex]9x^{2} (4-\pi )[/tex]

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The unknown angle of the right triangle is as follows:

∠CBA = 28.8°

The triangle is a right triangle because one of its angle is equals to 90 degrees.

The angle  ∠CBA, can be found using trigonometric rations,

hence,

tan ∅ = opposite / adjacent

where

∅ = ∠CBA

Therefore,

tan ∠CBA = opposite / adjacent

opposite side = 5.6 m

adjacent side = 10.2 m

Hence,

tan ∠CBA = 5.6 / 10.2

tan ∠CBA = 0.54901960784

tan ∠CBA = 0.54901960784

∠CBA = tan⁻¹ 0.54901960784

∠CBA = 28.7676493388

∠CBA = 28.8°

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Alita received 24 dollars and 25 cents ($24.25) as change at the grocery store.

For given question,

Alita received twenty-two dollars, seven quarters, and five dimes as change at the grocery store.

The value of coins is all counted in cents.

1 Penny = 1 cent  

1 Nickel = 5 cents  

1 Dime = 10 cents  

1 Quarter = 25 cents

And 1 Dollar = 100 cents

Alita received seven quarters, and five dimes coins as change at the grocery store.

seven quarters = (7 × 25) cents

                         = 175 cents

five dimes =  (5 × 10) cents

                 = 50 cents

The total coins are:

seven quarters, and five dimes

= 175 + 50 cents

= 225 cents

Now we add all change together.

twenty-two dollars, seven quarters, and five dimes

= 22 dollars + 225 cents

= 22 dollars + 2.25 dollars

= 24.25 dollars

= $24.25

Therefore, Alita received 24 dollars and 25 cents ($24.25) as change at the grocery store.

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Answer:

6 units

Step-by-step explanation:

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

Explanation:

The parent function y = |x| has its vertex at the origin (0,0). This is the lowest point on the V shaped graph.

The -2 at the end will shift every point 2 units down. This is because we're subtracting 2 from the y coordinate of each point.

So the vertex (0,0) moves down to (0, -2)

The graph is below.

by comparing the two maps, we get that, the map with the scale of 1 inch to 2,000 feet is smaller than the map of scale of 1 inch to 1,500 feet as it includes more area in a single inch.

We are given that:

A map of the city has a scale of 1 inch to 2,000 feet.

This means that 1 inch of the map represents the 2,000 feet of the actual area of the city.

Now, we are given another map which has a scale of 1 inch to 1,500 feet.

This means that 1 inch of the map represents the 1,500 feet of the actual area of the city.

So, by comparing the two maps, we get that, the map with the scale of 1 inch to 2,000 feet is smaller as it includes more area in a single inch.

Therefore. by comparing the two maps, we get that, the map with the scale of 1 inch to 2,000 feet is smaller than the map of scale of 1 inch to 1,500 feet as it includes more area in a single inch.

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The length of the missing side of the triangle is 33 inches.

Similar triangles are those triangles whose corresponding sides are in the same ratio. And the corresponding angles measure the same. It is denoted by ‘~’ symbol.

Let the length of the unknown sides of the second triangle be represented by x.

Given that the two triangles are similar triangles, therefore, the length of the corresponding sides will be in the same ratio. Thus, we can write the ratio of the sides of the triangle as,

6 inches / 18 inches = 11 inches / x

x = (11 inches × 18 inches) / 6 inches

x = 33 inches

Hence, the length of the missing side of the triangle is 33 inches.

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The given problem falls under the extraneous type of variable.

To find out whether or not changing the values of an independent variable has an impact on a dependent variable is the entire objective of performing an experiment. Any variable that you're not interested in researching but that might also impact the dependent variable is an unnecessary variable. For instance, we would be interested in finding out how a basketball player's average points per game are influenced by the number of hours they exercise each week. The amount of time they spend stretching each week, though, is an unrelated factor that might also impact their points per game.

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Answer:

Sorry if im wrong but for c put (x+8) x (x+y)

for d put (x+3y-1) x (x+y)

Step-by-step explanation:

If angle m∠SOP=(7y-12)° and m∠SOR=(5y+12)°, then the value of y=15 and m∠SOP is equal to 93°.

Given that m∠SOP=(7y-12)° and m∠SOR=(5y+12)°.

We are required to find the value of y and the angle m∠SOP.

We know that sum of all the angles which lie on the straight line is equal to 180°.

And here m∠SOP and m∠SOR both lie on the straight line PR. So,

m∠SOP+m∠SOR=180

7y-12+5y+12=180

12y=180

y=180/12

y=15

We have to use y=15 in m∠SOP=(7y-12)°.

m∠SOP=7*15-12

=105-12

=93°

Hence if angle m∠SOP=(7y-12)° and m∠SOR=(5y+12)°, then the value of y=15 and m∠SOP is equal to 93°.

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Answer:

62º

Step-by-step explanation:

So this is supplementary angles. Supplementary angles are two or more angles that add up to 180º. This is also vertical angles. Vertical angles are angles across from one another that are congruent(such as the 180º angle and the one up and to the right of it). So if vertical angles are congruent that means that the angle to the right of x is also 118º. And since it is a supplementary angle this is now simple subtraction.

180-118=62.

Hope I could help!

Answer:

Step-by-step explanation:

Find the value of x:

(3, 0) is the x-intercept

The x-intercept is the value of x when the value of the function is equal to zero.

That is the function is equal to 0.

When x = 3

f(x) = 0

Therefore the x-intercept is the point (3,0)

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Answer:

9×9=81

4×4×4×4×4= 1024

4×4×4×4×4×4×4=65536

7×7×7=343

9³=729

10∧5=100000

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Answer:

There are several steps to this problem, but they are easy steps .  First, determine how many ounces are in one recipe by adding all the ounces of the ingredients together:  8 + 5 + 2 + 3 = 18.

Now multiply that amount by 4, because she made 4 batches:  

18 x 4 = 72

Finally, divide the total amount by 3, because she put it in three bags.  72/3 = 24

The absolute value inequality graphed is:

y ≥ |x - 5| + 1

We can see that we have an absolute value equation, and the region above the graph is shaded, so we have:

y ≥ absolute value equation

We can see that the slope of the absolute value equation is 1, and the vertex is (5, 1), then the equation is:

|x - 5| + 1

Replacing that in the inequality we will get:

y ≥ |x - 5| + 1

That is the graphed inequality.

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The equation to calculate the distance will be 12 × 2.

From the information given, she travels at 12 miles per hour and the total travel time is 2 hours.

It should be noted that:

Distance = Speed × Time

Therefore,

Distance = 12 × 2

The distance is 24 miles.

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Answer:

4h40min

Step-by-step explanation:

necklaces she made

=$59.50/$4.25

=14necklaces

time spent making 14 necklaces

=14x20min

=280min

=4h40min

Answer:

280minutes or 4hours 40minutes

Step-by-step explanation:

Number of necklaces:

$59.50 ÷ $4.25 = 14

Time taken:

14 × 20minutes = 280minutes

According to the graph, The value of f(5) from the graph of f(x) is 1.

An equation is an expression that shows the relationship between two or more numbers and variables.

A variable can either be dependent or independent. A dependent variable depend on other variable while an independent variable does not depend on other variables.

From the graph of f(x), the point C(5, 1) represent the point f(5). The value of f(5) from the graph of f(x) is 1.

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The sides of the triangle are as  follows:

a = 43 meters

b = 172 meters

c = 341 meters

Given, we have the perimeter of the triangle as 556 meters.

The sides of the triangle are:

a = x meters

b = 4x meters

c = (8x - 3) meters.

we know that perimeter of the triangle = a + b + c

therefore, a + b+ c = Perimeter

x + 4x + (8x - 3) = 556

x + 4x + 8x - 3 = 556

13x - 3 = 556

13x = 556 + 3

13x = 559

x = 559/13

x = 43

hence we get the value of x as 43.

substitute x value in the sides of the triangle to get the orignal values of the sides.

a  = x = 43 meters.

b = 2x = 4 × 43 = 172 meters.

c = 8x - 3 = 8(43) - 3 = 341 meters.

Hence the sides of the triangle are 43 meters , 172 meters and 341 meters.

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Answer:

Step-by-step explanation:

You want the transformation rule that describes the translation from R(5, 0) to R'(1, 3).

The difference between R' and R is ...

  R' -R = (1, 3) -(5, 0) = (1-5, 3-0) = (-4, 3)

The difference between the point (x, y) and the translated point (a, b) is ...

  (a, b) -(x, y) = (a -x, b -y)

These differences are equal, so we have ...

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The area of the backyard that the grass takes up is 34x² - πx². The correct option is B. 34x² - πx²

From the question, we are to determine the area of the backyard that the grass takes up

Area of the backyard that the grass takes up

= Area of the backyard - Area of the rectangle pool deck - Area of the circle  pool

Area of the backyard = 6x × 6x

= 36x²

Area of the rectangle pool deck = 2x × x

= 2x²

Area of the circle pool = πx²

Thus,

Area of the backyard that the grass takes up = 36x² - 2x² - πx²

Area of the backyard that the grass takes up = 34x² - πx²

Hence , the area of the backyard that the grass takes up is 34x² - πx². The correct option is B. 34x² - πx²

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Function (D) f(x) = |x| is even.

To find which functions are even:

We are aware that a function is even when f(x) = f(-x).

(A)

[tex]$$\begin{aligned}&\text f(x)=x^{4-x^2} \\&f(-x)=(-x)^{4-x^2} \\&f(x) \neq f(-x)\end{aligned}$$[/tex]

So, the function is not even.

(B)

[tex]$$\begin{aligned}& f(x)=x^2-3 x+2 \\&f(-x)=x^2+3 x+2 \\&f(x) \neq f(-x)\end{aligned}$$[/tex]

So, the function is not even.

(C)

[tex]$$\begin{aligned}&\text f(x)=\sqrt{x-2} \\&f(-x)=\sqrt{-x-2} \\&f(x) \neq f(-x)\end{aligned}$$[/tex]

So, the function is not even.

(D)

[tex]f(x)=|x|\\f(-x)=|-x|=|x|=f(x)[/tex]

So, the function is even.

Therefore, function (D) f(x) = |x| is even.

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The complete question is given below:

Which functions are even? Check all of the boxes that apply.

a. F (x) = x Superscript 4 Baseline minus x squared

b. f (x) = x squared minus 3 x + 2

c. f (x) = StartRoot (x minus 2) EndRoot

d. f(x) = |x|

Decimal degrees 45.5013 converts to 45 degrees, 30 minutes and 4.68 seconds, or 45° 30' 4.68"

Decimal degrees 168.7862 converts to 168 degrees, 47 minutes, 10.32 seconds, or 168° 47' 10.32".

Decimal degrees  87.2530 converts to 87 degrees, 15 minutes, 10.8 seconds, or 87° 15' 10.8".

To translate decimal degrees into DMS, take the following actions:

Converting the following angles from decimal degrees to degrees, minutes, and seconds.

A) 45.5013

The whole number is degrees. So 45.5013 gives you 45degrees.

Multiply the remaining decimal by 60.

0.5013*60 =30.078, so the whole number 30 equals minutes.

Multiply the remaining decimal by 60.

.078*60 = 4.68, so the whole number 4.68 equals seconds.

Decimal degrees 45.5013 converts to 45 degrees, 30 minutes and 4.68 seconds, or 45° 30' 4.68".

B) Similarly for this 168.7862.

Decimal degrees 168.7862 converts to 168 degrees, 47 minutes, 10.32 seconds, or 168° 47' 10.32".

C)Similarly for this  87.2530.

Decimal degrees  87.2530 converts to 87 degrees, 15 minutes, 10.8 seconds, or 87° 15' 10.8".

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Answer:

2y ( 2x + 9ry)

Step-by-step explanation:

A.) Find the greatest common factor and factor out:

(2y x 2x) + (2y x 9ry) = 2y ( 2x + 9ry )

or

B.) Expand each expression:

4xy = ( 2 x 2 x X x y )

18ry^2 = ( 2 x 3 x 3 x r x y x y )

( 2 x 2 x X x y ) + ( 2 x 3 x 3 x r x y x y )

Then, take out like terms and put the expanded factors back together:

2y ( 2 x X + 3 x 3 x r x y ) = 2y ( 2x + 9ry )

Hope this helps!

Answer:

300 ones

Step-by-step explanation:

300 one = 300 of 1 = 300

The other answers are wrong

30 ones = 30 of 1 = 30

3 tens = 3 of 10 = 30

300 tens = 300 of 10 = 3000

12,0$+3,0$=15,0$ its korrect now

Answer:

Second choice: Student failed to square the x part

Step-by-step explanation:

x - 2y = 6 - 2.3 = 0 so that is the only plausible explanation

Answer: The student  failed to square the x² part. This led to calculating x² as six instead 36

The time taken to reach the bottom when the person skies down will be 22.5 seconds.

It should be noted that the person is skiing down a 1,350 meter ski slope at 60 meters per second.

There, t represent your skiing time in seconds.

The appropriate expression to illustrate the scenario will be:

1350 - 60t = 0

Therefore, 60t = 1350

t = 1350/60

t = 22.5

The time taken to each the bottom will be 22.5 seconds.

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