Cronus and Zeus are two competing cell phone companies. Cronus charges a flat rate of $8 per GB
of data. Zeus charges $3 per GB of data in addition to a monthly $10 fee that everyone pays
regardless of how much data they use. You expect to use between 0 GB and 8 GB of data each
month.
Part A: Graph the cost function associated with each company for data usage between 0 GB and 8
GB. Choose an appropriate scale for your graph.

Answer:

Estimated answer = 3,000

Product/Answer = 3,648

Hope this helps :)

Explanation below.

Step-by-step explanation:

1. To estimate, firat round the two numbers, 608 and 6.

When rounding if the numbers are 1,2,3,4 round down and if the numbers are 5,6,7,8,9 round up. But in this case we are just estimating an answer so we can just round 6 to 5 and 608 to 600. However, if the directions say to round to a specific place value, then follow the directions.

608 rounded to 600

6 rounded to 5

2. Multiply.

600 × 5 = 3,000

3. Solve with exact given numbers.

608 × 6 = 3,648

Answer: 9 and -5

Step-by-step explanation:  2+7=9 and 2-7=-5

The equation that can represent the fee for x hours is y = 10 + 5x.

A mathematical equation that represents the relationship of two expressions on either side of the sign.

We have,

Initial fee = $10

Let the constant fee for each hour of work = M

Fee for 5 hours of work = $35

Every mowing job for 5 hours = Initial fee + constant fee for 5 hours
$35 = $10 + M x 5

35 = 10 + 5M

25 = 5M

M = 5

So,

If y represents Anumeha's fee (in dollars) for a single job that took x hours for her to complete.

We can write an equation as:

y = 10 + 5x

Thus the equation that can represent the fee for x hours is y = 10 + 5x.

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Using the least common factor, it is found that she tests the parts once every 3 minutes.

To find the time that passes between the events happening at the same time, we need to find the least common multiple of the periods.

For this problem, the periods are of 12 seconds and 45 seconds. The least common factor is found factoring both terms by prime factors, as follows:

12 - 45|2

6 - 45|2

3 - 45|3

1 - 15|3

1 - 5|5

1

Hence:

lcf(12, 45) = 2² x 3² x 5 = 180 seconds = 3 minutes.

She tests the parts once every 3 minutes.

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Answer:

Step-by-step explanation:

13-b

put ixes in equations and see which is correct that b is correct.

14- c

in this question put   known points in equations.

Answer:19

Step-by-step explanation:

The range of a data set in statistics is the difference between the largest and the smallest values.

86-67=19

Answer:

The slope is 1/2

(0,1)

I hope this helped you!

If you invest a 100% in stocks however, you stand to make an average of 9.2% but a chance of a worst return of -40.40%.

In the given statement is:

Your friend tells you he is going to start investing and would like to earn a 10% return. He says stocks make him nervous, so he will only be investing 10% in stocks and the remaining 90% will be invested in bonds.

Based on the graph given on bond and stock returns, the average return if one invested 100% in bonds or in stocks is 5.0% and 9.2% respectively.

What happens if you invest 100% in either stocks or bonds?

The graph shows that when you invest a 100% in bonds, the average return you stand to make it 5.0% while the worst return is -2.1%.

If you invest a 100% in stocks however, you stand to make an average of 9.2% but a chance of a worst return of -40.40%.

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Answer:

b) 8 × 12 + 8 × 30

Step-by-step explanation:

Now we have to,

→ Find the equivalent expression.

The property we use,

→ Distributive property.

The expression is,

→ 8(12 + 30)

Let's simplify the expression,

→ 8(12 + 30)

→ 8(12) + 8(30)

→ (8 × 12) + (8 × 30)

→ 96 + 240

→ 336

Hence, the option (b) is correct.

Answer:

9.16 × 10-6

Step-by-step explanation:

Step-by-step explanation:

[tex]y = 3x + 10......eq3 \\ 2(3x + 10) = 6x + 20 \\ 6x + 20 = 6x + 20[/tex]

you can see that coming across that complication where the eqaution is balanced there is no solution for x and y fir those systems of equations.

Answer:

The new period is 23π

Answer:

2pi/3

Edge 2023

Answer:4

Step-by-step explanation:

2 to the power of 3x-1 when x=1

Replace x with 1 for 3(1)-1=2

2 to the power of 2 is 2*2 which equals 4

Alternatively if the question means 2 to the power of 3x minus 1

Replace x with 1 for 3(1)=3

2 to the power of 3 is 2*2*2 which equals 8

8-1=7

Answer:3

Step-by-ste

la respuesta es 3 porque si sumas -2x a 5 pues -2 es. un numero negativo y 5 es positivo restas 5-2 y obtienes 3

The vertices of the given ellipse are (-9, 2) and (-1, 2). Therefore, option D is the correct answer.

We need to find the vertices of the given ellipse.

The major axis of the ellipse cuts the ellipse into two distinct points called the vertices of the ellipse. The line perpendicular to the major axis of the ellipse is the minor axis, and it cuts the ellipse at two distinct points called the covertices of the ellipse. The midpoint of the vertices of the ellipse, or the covertices of an ellipse is the centre of the ellipse. The endpoints of the major axis are the vertices, and the endpoints of the minor axis are the covertices.

Equation of the ellipse = x²/a² + y²/b² = 1

Vertices of Ellipse: (a, 0), (-a, 0)

As we know, the endpoints of the major axis are the vertices.

From the given figure we can see that axis of the ellipse passes through the points (-1, 2) and (-9, 2).

The vertices of the given ellipse are (-9, 2) and (-1, 2). Therefore, option D is the correct answer.

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Step-by-step explanation:

taken in April on these boats. Straight-line depreciation is also used for the two boats purchased in May. Make one

Answer:

Step-by-step explanation:

In simplest form, I believe it would be 4/75.

Regarding the average rate of change of the function, it is found that:

a) 245 habitants per year between 1998 and 2001.

b) The average rate of change was of -328.5 habitants per year between 2002 and 2004.

c) The rate of population increase was greater between 1998 and 2001.

d) The rate of population decrease was greater between 2002 and 2004.

The average rate of change of a function is given by the change in the output divided by the change in the input. Hence, over an interval [a,b], the rate is given as follows:

[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]

For item a, we have that:

Hence the rate is:

(1591 - 856)/3 = 245.

The average rate of change was of 245 habitants per year between 1998 and 2001.

For item b, we have that:

Hence the rate is:

(826 - 1483)/2 = -328.5.

The average rate of change was of -328.5 habitants per year between 2002 and 2004.

Hence:

c) The rate of population increase was greater between 1998 and 2001.

d) The rate of population decrease was greater between 2002 and 2004.

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Answer:

c

Step-by-step explanation:

131-69= 62

Answer:

0.66

Step-by-step explanation:

Answer: 87.5%

hope this helps! :)

Answer:

A

Step-by-step explanation: i just did the test

The radius of the spherical tank of capacity 750 gallons to the nearest hundredth is 2.88 ft.

How much s a gallon?

In both imperial and US customary units, the gallon is a unit of volume. The imperial gallon (imp gal), which is or was used in the United Kingdom, Ireland, Canada, Australia, New Zealand, and some Caribbean countries, is defined as 4.54609 liters; the US gallon (US gal), which is used in the US and some Latin American and Caribbean countries, is defined as 3.785411784 L[1] (231 cubic inches); and the US dry gallon ("usdrygal"), which is defined as 18 US bushel (exactly 4.40488377086 L).

Given data: 1 gallon ≈ 0.1337 ft³

Then, 750 gallons = 0.1337 x 750 ≈ 100.275 ft³

We know, Volume of sphere,  [tex]V=\frac{4}{3}\pi r^{3}[/tex]

then, r = [tex]\sqrt[3]{\frac{3}{4\pi }V }[/tex]

           = [tex]\sqrt[3]{\frac{3}{4\pi } 100.275}[/tex]

           = [tex]2.88 ft.[/tex]

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(a). The equation of the line L in the form of y = mx + b is y + 2x  = 0.

(b). The equation of the line K that passes through the point (0, -1) and is perpendicular to the line L is y = 2x - 1.

(c). The intersection of the lines and K is located at a location with the coordinates (0,-1).

The equation of a line has the usual form axe + by + c = 0. Here, x and y are the variables, a and b are the coefficients, and c is the constant term. You may also find and see the equation of a line in the slope-intercept form, point-slope form, two-point form, intercept form, and normal form.

The formula of slope is given by m = (y₂-y₁)/(x₂-x₁).

Here, m is the slope of the line.

(x₁, y₁) and (x₂, y₂) are the two points of the line.

Now put the value of x₁, y₁, x₂, y₂  in

m = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

m = [tex]\frac{3-1}{-1-1}[/tex]

m = 2/-1

m = -2  

The slope of the line perpendicular is:

mₐ = - 1/m

mₐ = -1/-2

mₐ = 2

(a) The equation (in the form y = mx + b) of the line L.

(y-y₁) = m(x-x₁)

(y-1) = -2(x-1)

y-1 = -2x-1

y = -2x

y + 2x  = 0        

(b) The equation of the line K that passes through the (0, -1) and is perpendicular to the line L.

x = 0 and y = -1

y = mx + b  

y = 2x + b  

-1 = 2×0 + b  

-1 = b

b = -1

Substituting the above in y = mx + b to get:

y = mx + b

y =2x + (-1)

y = 2x - 1

(c) The coordinates of the point at which the lines and K intersect.

y = 2x - 1

y+2x+1=0

(2x-1)+2x+1=0

4x =0    

x = 0, y = -1

The intersection of the lines and K is located at a location with the coordinates (0,-1).

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The 95% confidence interval estimate for the mean number of absences for clerical workers during the year is (8.132, 11.268).

It should be noted that the mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test. In statistics, confidence is another word for probability.

Given a = 0.05, Z(0.025) = 1.96 (from standard normal table).

The 95% confidence interval will be:

xbar +/- Z*s/vn

= 9.7 +/- 1.96*4/✓(25)

= (8.132, 11.268)

Therefore, the 95% confidence interval is (8.132, 11.268).

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175 yards long is the 15th hole if the map shows 17.5 inches.

hole = c yards

1.5 / 15 = 17.5 / c

1.5 c = 15 * 17.5

1.5 c = 262.5

c = 175 yards

A length unit equal to 36 inches, or 3 feet (see foot), in the United States Customary System, or 0.9144 metre in the International System of Units. A cloth yard is 37 inches long, and it was also the standard length for arrows.

The yard is an English unit of length that equals 3 feet or 36 inches in both the British imperial and US customary measurement systems. Since 1959, it has been standardized as 0.9144 meter by international agreement. One mile is equivalent to 1,760 yards. The survey yard in the United States is slightly longer.

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The probability that the numbers on the two chips will differ by more than 2 will be ( 1 / 2 ).

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favorable outcomes / Number of sample

Given that an urn contains twenty chips, numbered 1 through 20. Two are drawn simultaneously.

Number of favorable outcomes = ( 4 - 2 ) , ( 3 - 1 ) , ( 6 - 4 ) , ( 10 - 8 ), ( 11 - 9 ), ( 7 - 5 ), ( 14 - 12), ( 15- 13 ) , ( 18 - 16 ), ( 19 - 17 ) = 10

Number of samples = 20

Probability = Number of favorable outcomes / Number of sample

Probability = 10 / 20

Probability = 1 / 2

Therefore, the probability that the numbers on the two chips will differ by more than 2 will be ( 1 / 2 ).

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Step (B) determining the shaded area for each line is not required when graphing this system of equations.

As it is given in the description itself, when solving this system of equations by graphing, it is not necessary to determine the shaded area for each line.

Therefore, step (B) determining the shaded area for each line is not necessary when solving this system of equations by graphing

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The correct question is given below:
Which step is not necessary when solving this system of equations by graphing?

3x-y-4

X+y=-4

O

Identify the point of intersection

(A) Choose a method to graph the equations.

(B) Determine the shaded area for each line.

(C) Write the solution as an ordered pair

Answer:

Step-by-step explanation:

60