Trina's car uses 12 gallons of gas to travel 132 miles. If she has 6 gallons of gas in the tank, how much more gas will she need to drive 220 miles?
A. 20 gallons
B. 11 gallons
C. 18 gallons
D. 14 gallons

Answer:

In 75 minutes, both clocks will chime together.

Step-by-step explanation:

All you have to do is find the least common multiple of 15 and 25.

Multiples of 15:

15 x 1 = 15

15 x 2 = 30

15 x 3 = 45

15 x 4 = 60

15 x 5 = 75

Multiples of 25:

25 x 1 = 25

25 x 2 = 50

25 x 3 = 75

25 x 4 = 100

25 x 5 = 125

If you compare the two, you’ll find that 15 and 25 have a least common multiple of 75. So, in 75 minutes both clocks will chime at the same time

Answer:

f(x)=x^3 - 13x^2 + 40x + 17

Step-by-step explanation:

x-0=0    x-5=0       x-8=0

  x=0        x=5           x=8

y=x(x-5)(x-8)+b  ==> b is what's going to be used to find the equation so that

                                y=17 when x=0

17=0(0-5)(0-8)+b  ==> plugin 0 for x and 17 for y

17=0*(-5)*(-8)+b  ==> simplify

17=0+b  ==> anything multiplied by 0 is 0.

b=17  

Hence, the equation is:

y=x(x-5)(x-8)+17  ==> expand this equation

y=x*(x-5)(x-8) + 17

y=x*(x(x - 8) - 5(x - 8)) + 17  ==> distribute x-8 to x and -5

y=x*(x*x - 8x - 5x - (8)(-5)) + 17  ==> distribution property

y=x*(x^2 - 13x - (-40)) + 17   ==> simplify

y=x*(x^2 - 13x + 40) + 17  ==> subtracting a negative number is equivalent to

                                              adding a positive number

y=x^3 - 13x^2 + 40x + 17 ==> multiply x with x^2, 13x, and 40 using the

                                              distribution property.

Answer: f(x)=x^3 - 13x^2 + 40x + 17

Answer: Okay, lets explain.

Step-by-step explanation:Since 0, 5 & 8 are given as the zeros of the required 3rd degree polynomial f(x), therefore, one may take it as ; f(x) =k (x-0)(x-5)(x-8)

= k(x³−13x²+40) …. .. .(1) . Since f(10) = 17 (given), it implies 17 = k(1000 -1300 + 400) = 100 ==> k = 17/100 = 0.17 . Put this value of k in eq(1) and get the required polynomial.

Answer:

b

Step-by-step explanation:

oi did the quiz f. 6373737

According to the rectangle plot, the total length of fence that Farmer Ted will use can be expressed in terms of x as 2x + 432/x.

Now, the problem asks us to find the total length of fence that Farmer Ted will use to enclose the rectangle and divide it into two equal parts using another fence parallel to one of the sides. To solve this problem, we need to first visualize the rectangle and understand what's happening.

Next, we need to enclose the rectangle with a fence. This means we need to find the perimeter of the rectangle, which is the total length of all its sides. The perimeter of a rectangle can be found by adding up the lengths of all its sides:

Perimeter = 2x + 2y

Now we have two smaller rectangles with dimensions x by y/2. The total area of both rectangles is still 216 square meters, so we can set up an equation to solve for y:

(x)(y/2) + (x)(y/2) = 216

Simplifying this equation, we get:

xy = 216

We can now use this equation to solve for y in terms of x:

y = 216/x

We can substitute this value for y in the equation for the perimeter of the original rectangle:

Perimeter = 2x + 2y

Perimeter = 2x + 2(216/x)

Simplifying this equation, we get:

Perimeter = 2x + 432/x

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In both the Vendor Compliance at Geoffrey Ryans (A) and Operational Execution at Arrows Electronics cases, there are common problems and challenges. These include issues related to vendor management.

One of the key problems faced by both companies is vendor compliance. This refers to the ability of vendors to meet the requirements and standards set by the company. Both cases highlight instances where vendors fail to meet compliance standards, leading to disruptions in the supply chain and operational inefficiencies. This problem affects the overall performance and profitability of the companies.

Another challenge faced by both companies is operational execution. This encompasses various aspects of operations, including inventory management, order fulfillment, and delivery. In both cases, there are instances where operational execution falls short, leading to delays, errors, and customer dissatisfaction. This challenge requires the companies to streamline their processes, improve communication and coordination, and enhance overall operational efficiency.

Overall, the problems and challenges in both cases revolve around effective vendor management, supply chain optimization, and operational excellence. Addressing these issues is crucial for both companies to improve their performance, meet customer demands, and maintain a competitive edge in the market.

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The options for the box and whisker plots aren't given ; however using technology, a box and whisker plot could be generated from the data.

Answer:

Step-by-step explanation:

Given :

45, 44, 47, 49, 45, 47, 42, 39, 45, 42, 44

Using technology, the box and whisker plot generated for the data is attached below.

The 5 - number summary is also given below :

Minimum: 39

Median: 45

First quartile: 42

Third quartile: 47

Interquartile Range: 5

Maximum: 49

Outliers: none

Answer:

Step-by-step explanation:

Answer:

  x = ln(4) ≈ 1.3862944

Step-by-step explanation:

You apparently want the solution to the equation 2e^(2x) -2e^x -24 = 0.

This is effectively a quadratic in e^x. Dividing by 2, we get ...

  (e^x)^2 -(e^x) -12 = 0

Factoring gives ...

  ((e^x) -4)((e^x) +3) = 0

Solutions will be the values of x that make the factors zero.

  e^x -4 = 0   ⇒   e^x = 4   ⇒   x = ln(4)

  e^x +3 = 0   ⇒   e^x = -3   ⇒   x = ln(-3) . . . . not defined for real numbers

The only real solution is x = ln(4) ≈ 1.3862944.

__

Additional comment

In the complex numbers, the other solution is x = ln(-3) = ln(3) +πi.

Answer:

8?

Step-by-step explanation:

Answer:

g = -8

Step-by-step explanation:

g-16

------ = -8

2

g = -8

Answer:

C) -180

Step-by-step explanation:

65 + 54 + 43 + 32 + 21 + 10 - 1 - 12 - 23 - 34 - 45 - 56 - 67 - 78 - 89 = -180. Hope this helps!

The quarter mile grounding rule for rural electric utilities for direct-buried jacketed distribution cables says that they must have at least 4 grounds per mile.

A utility cooperative is a specific kind of cooperative that is responsible for providing its members with a public utility, such as power, water, or telecommunications. Profits are either distributed to members as "patronage" or "capital credits," which are dividends paid on a member's investment in the cooperative, or they are reinvested for infrastructure. 

Every consumer is a shareholder and a member of the company. This means that, in contrast to investor-owned utilities where the amount of individual authority is determined by the number of shares held, all members have the same level of personal authority. Many utility cooperatives operate their business in accordance with a set of ideals based on the Rochdale Principles, just like cooperatives active in other industries.

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The position value, r(t) is equals to the (t³/6)k + 2j and velocity value, v(t) is equals to ( t²/2 )k + 4i , for a(t) = tk, v(0) = 4i, r(0) = 2j.

Acceleration is defined as the rate of change of the velocity of an object with respect to time. Accelerations are vector quanty.

a = dv/dt

We have the following informations are available,

Initial velocity, v(0) = 4i

Initial position, r(0) = 2j

Acceleration at any time "t",

a(t) = tk

we have to determine the value of v(t) and r(t).

As we know, a(t) = dv(t)/dt = tk

integrating the above equation ,

v(t) = ∫tk dt = ( t²/2 )k + c

at t = 0 , v(0) = 0 + c = 4i ( since, v(0) = 4i

=> c = 4i

So, v(t) = ( t²/2 )k + 4i

Also, velocity is calculated by derivative of postion (r) with respect to time.

=> v(t) = dr(t) /dt

=> r(t) = ∫ v(t) dt

=> r(t) = ∫ ( t²/2 )k dt

integrating value of the right hand side,

r(t) = ( t³/2×3 )k +d

= (t³/6)k + d

At t = 0, r(0) = (0/6)k + d

=> r(0) = d = 2j

so, r(t) = (t³/6)k + 2j

Hence, the required position and velocity are

(t³/6)k + 2j and ( t²/2 )k + 4i.

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Step-by-step explanation:

f(x) = 0.5 ∛(x − 4) − 5

As x approaches ∞:

f(∞) = 0.5 ∛(∞ − 4) − 5

f(∞) = 0.5 ∛(∞) − 5

f(∞) = 0.5 (∞) − 5

f(∞) = ∞ − 5

f(∞) = ∞

As x approaches -∞

f(-∞) = 0.5 ∛(-∞ − 4) − 5

f(-∞) = 0.5 ∛(-∞) − 5

f(-∞) = 0.5 (-∞) − 5

f(-∞) = -∞ − 5

f(-∞) = -∞

A wardrobe with 3 pants, 5 shirts, and 7 ties, has a possible outcome of 105 outfits and not 15. So the answer is False

False. The number of total possible outfits is not 15. To calculate the number of possible outfits, we need to multiply the number of choices for each item together. In this case, we have 3 choices for pants, 5 choices for shirts, and 7 choices for ties. Therefore, the total number of possible outfits would be 3 x 5 x 7 = 105.

The statement incorrectly states that there are only 15 possible outfits. It's important to consider that when selecting multiple items, the total number of combinations is found by multiplying the number of choices for each item together. In this scenario, with 3 pants, 5 shirts, and 7 ties, there are 105 possible outfits, not 15.

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Answer:

The most likely result is that there will be no winners in the stadium.

Step-by-step explanation:

The odds of winning are 1 in 1 million, which means that there is a 99.9999% chance that any given person will not win. If there are 100,000 people in attendance at the game, then the expected number of winners is 0.1.

Answer:

24%

Step-by-step explanation:

Convert the fraction to a decimal, then multiply by  100.

Alright for this question, we start by dividing the number of students in the class wearing blue shirts by the number of total students.

6/25 = 0.24

To change this decimal into a percent, we move the decimal point 2 spaces to the right, so it becomes:  24%

Answer is: 24%

Answer:

the anser is A

Step-by-step explanation:

Answer:

29011144

Step-by-step explanation:

The activity ratio in the value stream measures the efficiency of the production process by evaluating the ratio of value-added activities to non-value-added activities.

The activity ratio is a performance metric used in value stream mapping, which is a lean management tool for analyzing and improving the flow of materials and information in a production process.

It focuses on distinguishing value-added activities, which directly contribute to meeting customer requirements, from non-value-added activities, which do not add value but consume resources and time.

By calculating the activity ratio, organizations can assess the proportion of time and resources spent on value-added activities versus non-value-added activities.

A higher activity ratio indicates that a greater portion of resources is dedicated to value-added activities, indicating improved efficiency and reduced waste.

Conversely, a lower activity ratio suggests a higher proportion of resources being utilized for non-value-added activities, indicating potential areas for improvement and waste reduction.

The activity ratio serves as a valuable diagnostic tool for organizations to identify process inefficiencies, bottlenecks, and areas for improvement. By analyzing the activity ratio, organizations can streamline their processes, eliminate waste, and optimize resource allocation to enhance overall productivity and customer value.

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(a)The range of the given set of measurements is 4.

(b)The sample mean of the given set of measurements is approximately 5.625.

(c)The sample variance of the given set of measurements is approximately 2.337768, and the sample standard deviation is approximately 1.529.

(a) The range is the difference between the largest and smallest values in the set of measurements. In this case, the largest value is 8 and the smallest value is 4, so the range is 8 - 4 = 4.

To calculate the range, we subtract the smallest value from the largest value. In this case, the largest value is 8 and the smallest value is 4.

Range = Largest value - Smallest value

Range = 8 - 4

Range = 4

The range provides a simple measure of the spread or dispersion of the data. In this case, the range tells us that the values range from the smallest value of 4 to the largest value of 8, with a difference of 4 between them.

(b) The sample mean, denoted as x, is the sum of all the measurements divided by the total number of measurements.

To calculate the sample mean, we add up all the measurements and then divide by the total number of measurements. In this case, we have 8 measurements.

Sum of measurements = 4 + 4 + 7 + 6 + 4 + 6 + 6 + 8 = 45

Sample mean = Sum of measurements / Total number of measurements

Sample mean = 45 / 8

Sample mean ≈ 5.625

The sample mean represents the average value of the measurements and provides a measure of central tendency.

(c) The sample variance, denoted as s^2, measures the variability or dispersion of the data points around the sample mean. It is calculated as the average of the squared differences between each measurement and the sample mean.

To calculate the sample variance, we first calculate the squared difference between each measurement and the sample mean. Then, we average those squared differences.

Squared difference for each measurement:

(4 - 5.625)^2 = 2.890625

(4 - 5.625)^2 = 2.890625

(7 - 5.625)^2 = 1.890625

(6 - 5.625)^2 = 0.140625

(4 - 5.625)^2 = 2.890625

(6 - 5.625)^2 = 0.140625

(6 - 5.625)^2 = 0.140625

(8 - 5.625)^2 = 5.390625

Sum of squared differences = 2.890625 + 2.890625 + 1.890625 + 0.140625 + 2.890625 + 0.140625 + 0.140625 + 5.390625 = 16.364375

Sample variance = Sum of squared differences / (Total number of measurements - 1)

Sample variance = 16.364375 / (8 - 1)

Sample variance ≈ 2.337768

The standard deviation, denoted as s, is the square root of the sample variance.

Sample standard deviation = √(Sample variance)

Sample standard deviation = √(2.337768)

Sample standard deviation ≈ 1.529

These measures provide information about the dispersion or spread of the data points around the sample mean. A higher variance or standard deviation indicates greater variability in the measurements.

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Answer:

-2

Step-by-step explanation:

as x goes up 1 y goes down 2

slope is change in y over change in x

-2/1=-2

To show that the function g(x) = 3x² + (x+2)³ is continuous at a = -1, we need to demonstrate that the limit of g(x) as x approaches -1 exists and is equal to g(-1). We can use the definition of continuity and the limit properties to prove this.

To show that g(x) is continuous at a = -1, we need to prove that the limit of g(x) as x approaches -1 exists and is equal to g(-1).

First, we evaluate g(-1) by substituting -1 into the function: g(-1) = 3(-1)² + (-1+2)³ = 3 + 1 = 4.

Next, we consider the limit of g(x) as x approaches -1. We can rewrite g(x) as g(x) = 3x² + (x+2)³ = 3x² + (x+2)(x+2)² = 3x² + (x² + 4x + 4)(x+2) = 3x² + x³ + 6x² + 12x + 8.

Taking the limit as x approaches -1, we have lim(x→-1) g(x) = lim(x→-1) (3x² + x³ + 6x² + 12x + 8).

Using the limit properties, we can evaluate each term separately. The limit of 3x² as x approaches -1 is 3(-1)² = 3. The limit of x³ as x approaches -1 is -1³ = -1. The limit of 6x² as x approaches -1 is 6(-1)² = 6. The limit of 12x as x approaches -1 is 12(-1) = -12. The limit of 8 as x approaches -1 is 8.

Adding these limits together, we have lim(x→-1) g(x) = 3 + (-1) + 6 + (-12) + 8 = 4.

Since the limit of g(x) as x approaches -1 is equal to g(-1), we can conclude that g(x) is continuous at a = -1.

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Answer:

14.8%

Step-by-step explanation:

The formula for market share = Total sales of the company at a particular period/ Total sales of the market × 100%

Total sales of the company = Breyer's sales = $650,417,792

Total sales of the market = Total sales in the ice cream category market = $4.4 billion

= $650,417,792/ $4,400,000,000, × 100

= 14.782222545%

Therefore, approximately to the nearest tenth, Breyer's market share is 14.8 %

The correct formula for the revenue generated by the item is Revenue = 200p - 5p^2.

The revenue generated by the item can be calculated by multiplying the price (p) by the unit sales (200 - 5p). Therefore, the correct formula for the revenue generated by the item is:

Revenue = Price x Unit Sales
Revenue = p(200 - 5p)
Revenue = 200p - 5p^2

The revenue generated by the item is a quadratic function of the price (p). To find the maximum revenue, we need to differentiate the function with respect to p and set it equal to zero:

dRevenue/dp = 200 - 10p = 0
10p = 200
p = 20

Therefore, the maximum revenue is generated when the price of the item is $20. Substituting p = 20 in the revenue formula, we get:

Revenue = 200(20) - 5(20^2) = $2000

Hence, the correct formula for the revenue generated by the item is Revenue = 200p - 5p^2, and the maximum revenue is achieved when the price of the item is $20, generating a revenue of $2000.

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We know that gold density is 19.3 g/cm^3 and that the price per gram of gold is $55.62. With this we want to solve different problems

The answers are:

24) f(x) = $55.62*x

25) g(x) = (19.3 g/cm^3)*x^3

26) The domain is x > 0cm

27) The price is $8,587.73

24) We know the price per gram of gold, then if we have x grams, the price will be x times the price per gram, then we can write the function as:

f(x) = $55.62*x

25) A cube of sidelength x has a volume equal to:

v = x^3

The mass is equal to the density times the volume, then we can write:

g(x) = (19.3 g/cm^3)*x^3

26)  g(x) gives the mass of a cube of gold.

f(x) gives the price of a piece of gold of a given mass.

Then the composition f(g(x)) works correctly.

The domain is given for the possible values of x (the side length of the cube) so we only can say that x must be larger than zero, then the domain is:

x < 0cm

27) Here we just use the composition f(g(x)) with x = 20cm

f( g(20cm)) = ($55.62)*(19.3 g/cm^3)*(20cm)^3 = $8,587.73

The value of that cube is $8,587.73

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Answer:

42

Step-by-step explanation:

Answer:

Hint: You are essentially using the transitive property of equality; "If a = b and b = c, then a = c". (Also look at the step by step explanation for more elaboration).

Step-by-step explanation:

Since we know that line AC is equal to 120, that allows us to add lines AB and BC to give us 120. Simply put, 4x + 6 + 7x + 15 = 120. I got 4x + 6 from line AB and 7x + 15 from line BC. You are essentially using the transitive property of equality; "If a = b and b = c, then a = c". All that is left to do is solve to find x and substitute it into 4x + 6. (Sorry if I may have worded it wrong, like putting lines instead of segments. I have been forgetful of what term to use). Hoped it helped. :)

P.S, If you still need help, please respond back.

The deflection angle of light by the white dwarf star is approximately \(\(0.00108 \times 206,265 = 223.03\)\)arcseconds (rounded to two decimal places).

To calculate the deflection angle of light by a white dwarf star, we can use the formula derived from Einstein's theory of general relativity:

\(\[\theta = \frac{4GM}{c^2R}\]\)

where:

\(\(\theta\)\) is the deflection angle of light,

G is the gravitational constant \((\(6.67430 \times 10^{-11} \, \text{m}^3 \, \text{kg}^{-1} \, \text{s}^{-2}\)),\)

M is the mass of the white dwarf star,

c is the speed of light in a vacuum \((\(299,792,458 \, \text{m/s}\)),\) and

(R) is the radius of the white dwarf star.

Let's calculate the deflection angle using the given values:

Mass of the white dwarf star, \(\(M = 1.2 \times \text{solar mass}\)\)

Radius of the white dwarf star, \(\(R = 0.0088 \times \text{solar radius}\)\)

We need to convert the solar mass and solar radius to their respective SI units:

\(\(1 \, \text{solar mass} = 1.989 \times 10^{30} \, \text{kg}\)\(1 \, \text{solar radius} = 6.957 \times 10^8 \, \text{m}\)\)

Substituting the values into the formula, we get:

\(\[\theta = \frac{4 \times 6.67430 \times 10^{-11} \times 1.2 \times 1.989 \times 10^{30}}{(299,792,458)^2 \times 0.0088 \times 6.957 \times 10^8}\]\)

Evaluating the above expression, the deflection angle \(\(\theta\)\) is approximately equal to 0.00108 radians.

To convert radians to arcseconds, we use the conversion factor: 1 radian = 206,265 arcseconds.

Therefore, the deflection angle of light by the white dwarf star is approximately \(\(0.00108 \times 206,265 = 223.03\)\)arcseconds (rounded to two decimal places).

Hence, the deflection angle is approximately 223.03 arcseconds.

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Answer:

A -2 <= x <= 3

Step-by-step explanation: