During a drought, the cost of corn increases. Suddenly, gasoline costs $3.86 per gallon. A diesel truck uses 4 gallons to drive 60 miles. With the increased cost of gasoline, is it cheaper to drive the old truck or the diesel truck?

Answers

Answer 1

It is cheaper to drive the old truck, which costs $11.58 to drive 60 miles, compared to the diesel truck, which costs $15.44 to drive the same distance, given the current fuel prices.

Describe Algebraic Expression?

An algebraic expression is a mathematical phrase that consists of variables, numbers, and mathematical operations such as addition, subtraction, multiplication, and division. It is a combination of constants, variables, and operators that represent a value or a relationship between values.

For example, "3x + 5" is an algebraic expression where "3" and "5" are constants, "x" is a variable, and "+" is an operator. The expression can be evaluated by substituting a value for "x" and performing the necessary operations.

Algebraic expressions can also be simplified by combining like terms and using the rules of arithmetic to simplify the expression. For instance, the expression "2x + 3x" can be simplified to "5x" by adding the coefficients of the like terms "x".

Algebraic expressions are used extensively in algebra to represent equations and relationships between variables. They are also used in a wide range of mathematical and scientific applications, including physics, engineering, and finance.

To compare the cost of driving the old truck to the diesel truck, we need to know the fuel efficiency of the old truck. Let's assume that the old truck uses gasoline and has a fuel efficiency of 20 miles per gallon.

To drive 60 miles, the old truck will use 60/20 = 3 gallons of gasoline.

At $3.86 per gallon, the cost of 3 gallons of gasoline is 3 * $3.86 = $11.58.

The diesel truck uses 4 gallons of diesel to drive 60 miles. The cost of diesel is not given in the problem, so we'll assume it's the same as the cost of gasoline, $3.86 per gallon.

At $3.86 per gallon, the cost of 4 gallons of diesel is 4 * $3.86 = $15.44.

Therefore, it is cheaper to drive the old truck, which costs $11.58 to drive 60 miles, compared to the diesel truck, which costs $15.44 to drive the same distance, given the current fuel prices.

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Related Questions

Simplify the following expression. b²c 2d³f4 - 4d fl b[ ]c[] -2​

Answers

The expression b²c²d³f⁴ - 4dfbc² when simplified is bdc²f(bd²f³ - 4)

How to simplify the expression

From the question, we have the following parameters that can be used in our computation:

b²c 2d³f4 - 4d fl b[ ]c[] -2​

Express properly

So, we have the following representation

b²c²d³f⁴ - 4dfbc²

Factor out dc² from the expression

So, we have the following representation

b²c²d³f⁴ - 4dfbc² = dc²(b²d²f⁴ - 4fb)

Factor out f from the expression

So, we have the following representation

b²c²d³f⁴ - 4dfbc² = dc²f(b²d²f³ - 4b)

Factor out b from the expression

So, we have the following representation

b²c²d³f⁴ - 4dfbc² = bdc²f(bd²f³ - 4)

Hence, the expression is bdc²f(bd²f³ - 4)

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In 2012, the cost of a hamburger at a famous nationwide restaurant chain was $4.32. In 2022 the
price of the same hamburger is $6.12.

a. What is the average rate of change in the cost of the hamburger during this period?

b. Using the price in 2012 as an initial value, write a linear equation that models the cost of
the hamburger.

c. Using the model from part b, when will the price of the hamburger reach $7.02?

Answers

The average rate of change in the cost of the hamburger during the period of 2012 to 2022 is 0.18.

The equation is y = 0.18x + 4.32 and the cost will be $7.02 in 2027.

What are Linear Equations?

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

(a) Given that,

Cost of hamburger in 2012 = $4.32

Cost of hamburger in 2022 = $6.12

Average rate of change = (6.12 - 4.32) / (2022 - 2012)

                                        = 0.18

(b) Linear equation can be written in slope intercept form as y = mx + c, where m is the slope and c is the y intercept.

Slope of a linear equation is equal to the average rate of change.

m = 0.18

y intercept is the value of the y coordinate when x = 0.

In this case, y intercept is the cost of hamburger in the initial year, 2012.

c = 4.32

So the equation is,

y = 0.18x + 4.32

(c) Price of the hamburger will reach $7.02, when,

7.02 = 0.18x + 4.32

0.18x = 2.7

x = 15

Price will reach $7.02 in the year = 2012 + 15 = 2027

Hence the cost of the hamburger will be $7.02 in the year 2027 using the linear model y = 0.18x + 4.32.

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A sculptor is planning to use a triangular prism as the base for his art project. What is the volume of the pedestal if the area of its Base is 9 in² and the height of the prism is 15 inches?

45 in³


96 in³


135 in³


128 in³

Answers

The requried volume of the pedestal is 135 cubic inches.

What is volume?

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

Here,
The volume of a triangular prism is given by the formula V =base x h, where the base is the area of the base and h is the height of the prism.

In this case, the area of the base is given as 9 in², and the height of the prism is given as 15 inches.

Therefore, the volume of the pedestal is:

V = base x h

V = 9 in² x 15 inches

V = 135 cubic inches

So the volume of the pedestal is 135 cubic inches.

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Tippah Antiques uses the periodic inventory system to account for its inventory transactions. The following account titles and balances were drawn from Tippah’s records for Year 2: beginning balance in inventory, $24,500; purchases, $306,400; purchase returns and allowances, $12,600; sales, $721,000; sales returns and allowances, $6,260; freight-in, $1,810; and operating expenses, $51,100. A physical count indicated that $24,400 of merchandise was on hand at the end of the accounting period.

Answers

Tippah Antiques uses the periodic inventory system to account for its inventory transactions. The net sales = $714740

What is periodic inventory system?

Inventory that is updated on a regular basis is known as periodic inventory. Contrasted with perpetual inventory systems, which are updated as necessary, this system does not. While using a periodic inventory system, neither inventory nor cost of goods sold records are attempted to be kept up to date.

Businesses that only sell a few products during a given accounting period frequently employ the periodic inventory method. Due to its simplicity of use and low cost of ownership due to the lack of expensive software requirements, these businesses frequently find it advantageous to employ this system.

Given that,

TIPPAH ANTIQUES:

For the year ended December 31, Year 2: (Schedule of Cost of Goods sold)

Beginning balance of inventory:                         $24500

Add: Purchases:                                                   $306,400

Less: Purchase returns allowances:                $12,600

Add: Freight in:                                                      $1,810

Cost of goods available for sale:

(24500+306400-12600+1810)                          $320,110

Less: Ending inventory on hand:                          $24,400

Cost of goods sold:

(320110 - 24400)                                                  $295,710

Next,

For the year ended December 31, Year 2: (Income statement)

Net sales                                                            $714,740

Less: Cost of goods sold                                    $295,710

Gross Profit:

(714740 - 295710)                                                     $419,030

Operating expenses:                                             $51,100

Income from Operations:

(419030 - 51100)                                                     $367,930

Thus,

Computation of Net sales

Sales                                                                         $721000

Less: Sales returns and allowances:                          $6260

Net Sales (721000 - 6260):                                        $714740

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Which of these is a proposition?
A. Aristotle was born in norther Greece.
B. Will you be coming to the party?
C. x + 3 = 7
D. Go to bed!

Answers

The proposition in this set of options is:

A. Aristotle was born in northern Greece.

What is Proposition ?

A proposition is a key idea in philosophy of language and related disciplines, and it is frequently referred to as the main carrier of truth or untruth. The kind of object that declarative sentences signify is another way that propositions are frequently described. The statement "The sky is blue," for example, expresses the idea that the sky is blue.

A proposition is a statement that can either be true or false. Therefore, the proposition in this set of options is:

A. Aristotle was born in northern Greece.

This is a proposition because it is a statement that can be evaluated as true or false. The other options are not propositions:

B. This is a question and not a statement, so it is not a proposition.

C. This is an equation, not a statement, so it is not a proposition.

D. This is a command, not a statement, so it is not a proposition.

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7. According to new research in 2021, Puerto Rican Reggaeton star Bad Bunny again took the title of
most-streamed artist in the world on Spotify. He received over 9.1 billion streams (9, 100, 000, 000)
without releasing a new album last year.
Use this number of streams with your equation to calculate how much money Bad Bunny may have
made via Spotify. (Worlds Most Streamed Songs (Spotify), 2021)

Answers

The requried, Bad Bunny may have made around $34.6 million from his 9.1 billion streams on Spotify in 2021.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
As of 2021, Spotify's average payout per stream is about $0.0038, which means that an artist earns approximately 0.38 cents per stream.

So, to calculate Bad Bunny's potential earnings from 9.1 billion streams on Spotify, we can use the following equation:

Earnings = Number of Streams x Payout per Stream

Earnings = 9,100,000,000 x $0.0038

Earnings = $34,580,000

Therefore, based on this rough estimate, Bad Bunny may have made around $34.6 million from his 9.1 billion streams on Spotify in 2021. It's important to note that this is just an estimate and that the actual amount he earned could be higher or lower depending on the factors mentioned earlier.

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For the 12-km-long Bridge Run, officials set up a water table every 600 meters, starting at the start line. How many water tables are set up for the Bridge Run?

Answers

Answer:

Step-by-step explanation:

To determine the number of water tables set up for the Bridge Run, we need to divide the total length of the run by the distance between the water tables.

The total length of the run is given as 12 km.

The distance between the water tables is 600 meters.

To convert the units, we can express the total length of the run in meters:

12 km = 12,000 meters

Now we can divide the total length of the run by the distance between the water tables:

12,000 meters ÷ 600 meters = 20

So there are 20 water tables set up for the Bridge Run.

Please help me answer this question ASAP!!

Answers

The solution to the equation 17(4 + 15) is 323

What is an equation?

An equation is an expression that shows the relationship between two numbers and variables using mathematical operations like addition, subtraction, multiplication, exponents

Given the equation:

17(4 + 15)

= 17(19)

= 323

OR

17(4 + 15)

= 17(4) + 17(15)

= 68 + 255

= 323

The solution to 17(4 + 15) can be gotten by determining the product of 17 and 19; or adding the product of 17 and 4 to the product of 17 and 15

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In this regular pentagon, all of the exterior
angles marked f are the same size.
Find the value of f.
Give your answer in degrees (°).
f
f

Answers

The total answer is still F

Lucia wants to spend less than 16$ on her order. Which of the following represents amounts that are lucias budget? choose all the correct anwsers
A. 25% off $20
B. 10% off %18
C. $14 plus 10% sales tax
D. $14 plus 7% sales tax
E. 20% off $18 then a 10% shipping fee
F.30% off $30, then an addition $5 off

Answers

Answer:

A. 25% off $20

C. $14 plus 7% sales tax

D. $14 plus 7% sales tax

E. 20% off $18 then a 10% shipping fee

Step-by-step explanation:

The rest i did the math and it doesnt add up. But your option B. is either typoed or i dont know. If its a typo then include that in your answer as well

Point P is inside ΔABC and is equidistant from points A and B. On which of the following segments must P be located? A. AB B. The perpendicular bisector of AB C. The midsegment opposite AB D. The perpendicular bisector of AC

Answers

Answer:

Step-by-step explanation:

ASQASSA

On their farm, Adam’s family maintains a storage that can hold 18.8 cubic yards (yd3) of grain. Use the fact that 1 yard is approximately equal to 0.9144 m to convert this volume to m3. Round your answer to the nearest hundredth.

Answers

The volume of grains stored in Adam's family farm in is 14.374m³.

What is meant by volume?

Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity. Knowing an object's volume can help us figure out how much a substance is needed to fill it, such as how much water is needed to fill a bottle. Cubic units are used to quantify a solid's volume. Volume is another word for capacity.

Given,

 The volume of grains stored in the farm = 18.8 yards³

It is given that 1 yard = 0.9144 m

We are asked to find the above volume of grains from yards³ to m³

if

1 yard = 0.9144 m

1 yard³ = 0.9144 m * 0.9144 m * 0.9144 m

18.8 yards³ = 18.8 * 0.9144*0.9144*0.9144 = 14.374 m³

Therefore the volume of grains stored in the farm in m³ is 14.374m³.

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Solve for x.
5/25=9/(x+4)

Answers

Answer: x = 41

For x in the equation

5/25=9/(x+4)

5(x+4) =9(25)

5x + 20 = 225

5x = 205

x = 41

Therefore, the value of x for the equation 5/25=9/(x+4) is x = 41

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How do I do this? This is confusing..

Answers

The points are as selected on the graph.

How to select points on the graph?

A function is an expression that shows the relationship between the independent variable and the dependent variable.  A function is usually denoted by letters such as f, g, etc.

Since f(x) = -9. What this means is that the value of f(x) will always be -9 irrespective of the value of x. That is:

x    f(x)

-2   -9

0    -9

2    -9

7    -9

9    -9

Check the attached image for the points on the graph

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Which statistical test is most appropriate to use to answer the following research question? Is there a difference in mean height between middle school students based on gender (male and female) and grade (6th, 7th, 8th)?

Answers

The most appropriate statistical test is a two-way ANOVA

How to determine the most appropriate statistical test

From the question, we have the following parameters that can be used in our computation:

Question: Is there a difference in mean height between middle school students based on gender (male and female) and grade (6th, 7th, 8th)?

The most appropriate test is the two-way ANOVA

This is so because the test is a type of hypothesis test that uses a statistical model to analyze the variance between groups and within groups.

It tests the null hypothesis that the means of all groups are equal against the alternative hypothesis that at least one group mean is different from the others.

In this case, the groups are

Set 1: grade 6th to 8thSet 2: Male and Female

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Let Y be a Binomial variable counting the number of successes in
120 independent trials where the probability of success at each trial is
0.52; that is, Y~Bin(120,0.52).
Use the pbinom function in R to find P(60 < Y ≤ 70), giving your answer to three decimal places.

Answers

The answer is 0.294. This can be found by using the pbinom function in R.

What is function?

Function is the process or state of instruction that text inputs performance is specific tax and produce an output functional key components of programming language allowing the quarters to create complex commands with simple instruction for example a function can be used to add two numbers round together or to generate a random number function can also be combined to create more complex sequence of instruction.

This function calculates the cumulative probability of a binomial variable from 0 to a certain value. In this case, the probability of Y being greater than or equal to 60 and less than or equal to 70 is 0.294.

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Which compound inequality is equivalent to |ax-b|>c for all real numbers a, b, and c, where c>=0

Answers

Therefore , the solution of the given problem of inequality comes out to be  ax - b > c, we get ax - b > c or ax - b < -c, which is the same as

|ax - b| > c.

What does inequality actually mean?

A mathematical inequality is a relationship or group of values without the equal sign. Equity usually comes after equilibrium. When two parameters are not equal, inequality results. Between equality and inequality, there are differences. Because the numbers are not equal or variable it was chosen to use the most common symbol (). Any difference, no matter how little or significant, can be utilised to compare values.

Here,

One possible equivalent compound inequality is:

ax - b > c or ax - b < -c

To see why this is true, consider the two cases:

Case 1: ax - b > c

If we take the absolute value of both sides, we get |ax - b| > c, which is the original inequality.

Case 2: ax - b < -c

If we multiply both sides by -1, we get -ax + b > c.

Adding ax to both sides, we get b > ax + c. If we subtract this inequality from

=> ax - b < -c

=> -2b < -2c, or b > c.

Substituting b > c back into the inequality ax - b < -c, we get ax < 0. Multiplying both sides by -1 (since c >= 0),

we get

-ax > 0, or ax < 0.

Combining this with the inequality ax - b > c, we get ax - b > c or ax - b < -c, which is the same as |ax - b| > c.

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Which of the following ordered pairs satisfies the equation y=2 (-2,2) (1,3) (6,0) (8,2) (1,5)

Answers

Answer:

Using the equation y = 2x, some ordered pairs are as follows (- 1, - 2), (0, 0), (1, 2), (2, 4), (3, 6).

Step-by-step explanation:

BY WAY UR GLY

In one day, there are two high tides and two low tides in equally spaced intervals. The high tide is observed to be 6 feet above the average sea level. After 6 hours pass, the low tide occurs at 6 feet below the average sea level. In this task, you will model this occurrence using a trigonometric function by using x as a measurement of time. Assume the first high tide occurs at x = 0.
Determine these key features of the function that models the tide:

1.amplitude
2.period
3.frequency
4.midline
5.vertical shift
6.phase shift

Answers

Answer:

1. The amplitude of the function is 12 feet, since it moves from 6 feet above to 6 feet below the average sea level.

2. The period of the function is 12 hours, since it takes 12 hours for the tide to go from high to low and back again.

3. The frequency of the function is 0.5 (1/12), since it takes 12 hours for the function to repeat itself.

4. The midline of the function is the average sea level.

5. There is no vertical shift.

6. The phase shift is 0, since the first high tide occurs at x = 0.

a son earns 62% of what his father earns. if the son earns $52,000, how much does his father earn to the nearest dollar

Answers

A son earns 62 percent of what his father earns if the son earns $52,000 so, the father earns approximately $83,871.

Define percent.

The word "percent" is used to represent a quantity as a percentage of 100. The Latin term per centum, which means "out of a hundred," is where the word "percent" originates. When working with huge numbers, percentages are frequently employed to convey ratios, proportions, and rates in a more practical way.

A percentage can be expressed as a decimal or as a fraction with a denominator of 100. 25%, for instance, might be written as 0.25 or as 25/100. Similarly, 75% might be written as 0.75 or as 75/100.

Let's denote the father's earnings as "F". We are given that the son earns 62% of what his father earns, which can be expressed as:

Son's earnings = 62% of Father's earnings

$52,000 = 0.62F

To solve for F, we can divide both sides of the equation by 0.62:

F = $52,000 ÷ 0.62

F = $83,870.97

Therefore, to the nearest dollar, the father earns approximately $83,871.

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PLEASE HURRY, ILL GIVE
BRAINLIST
(30 POINTS)

Answers

The last one is correct. It is correct because you solve for y in this equation.
Hope this helped

The function that represents linear function is y = 1/4(x) - 1. The correct answer is option(c).

A linear function is a which can be expressed in the form of,

y = mx +  c

In the given question,

x = 1 is a constant function.

y = 1/3(x²) is a parabolic function.

and,

4x - 2 = 6 is also a constant function.

In the case of y = 1/4(x) - 1, We can compare the value with the standard equation.

We get,

m = 1/4

and, c = -1 which is an equation of a straight line.

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LAST QUESTION I NEED HELPPPPPP Following the accounting cycle, what would an accountant do right after making an adjusted trial balance?
A. make a worksheet
B. make a trial balance
C. adjust entries
D. close the entries

Answers

Answer:

A

Step-by-step explanation:

Following the accounting cycle, an accountant would make a worksheet right after making an adjusted trial balance. The worksheet is a tool used by accountants to prepare financial statements and to adjust entries. The worksheet summarizes the data in the trial balance and makes it easier for the accountant to prepare the financial statements. The worksheet includes adjustments for accruals, prepayments, depreciation, and other items that were not recorded in the original journal entries. Once the worksheet is complete and the financial statements have been prepared, the accountant would then close the entries to start a new accounting cycle. Therefore, the correct answer is A. make a worksheet.

Can we do

10 x squared plus 3 x

Answers

No you can’t since they got different powers, but you can simplify the x, take one out and leave the rest so it should be x(10x+3)

[5] Which country is known as the ‘playground of Europe’?
(A) Austria

(B) Holland

(C) Switzerland

(D) Italy











































































ias chinadu
IAS CHINADU KUMAR KHAN

Answers

Answer:

The Playground of Europe is:

C) Switzerland.

Step-by-step explanation:

Hope it helps! =D

What is the end behavior of the radical function represented by this graph? The graph shows the square root function. The function starts at the point (minus 3, 0) and extends upwards and to the right. Some major points on the graph are (0, 3), (2, 4), and (5, 5). A. As x decreases in value, decreases in value. As x increases in value, decreases in value. B. As x decreases in value, increases in value. As x increases in value, decreases in value. C. As x decreases in value, increases in value. As x increases in value, increases in value. D. As x decreases in value, decreases in value. As x increases in value, increases in value.

Answers

The value of Tan B rounded to the nearest hundredth is 0.01.

What is value?

Value of subjective concept that refers to the word of important that an individual group of people places on the something it is often associated with principal beliefs and the standard that are accepted by society when you can be seen as a matter of how important something is true person of organization it is often seen as a reflection of funds for view and can help to save decision.


Tan B is a trigonometric ratio that is determined by the ratio of the side opposite an angle to the side adjacent to the angle. To find the value of Tan B, you need to know the angle measure (B) and the lengths of the two sides. For example, if the angle B is 45 degrees and the adjacent side is 8 cm and the opposite side is 8 cm, then Tan B = 8/8 = 1.

To round the value of Tan B to the nearest hundredth, we will use the rounding rule of "5 up". This means that any value that is greater than or equal to five will be rounded up, and any value that is less than five will be rounded down. In this case, Tan B is equal to 1 and is less than five, so it should be rounded down to 0.01. Therefore, the value of Tan B rounded to the nearest hundredth is 0.01.

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PRE-CALCULUS:

Hi! Not really sure how to go about this problem..please help!

Answers

Answer:

6

Step-by-step explanation:

the numerator of the fraction is

6(t+h) +1 -(6t +1) = 6h

so the fraction is 6h/h =6

Refer to the attached image.

Tom says that he can find 12 x 18 mentally using two partial products,
10 x 18 and 2 x 18. Is Tom correct? Explain your answer.

Answers

So, in response to the above question, we can state that Due to the use equation of two partial products, 10 x 18 and 2 x 18, Tom is accurate that 12 x 18 equals 216.

What is equation?

A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical. For examples, in the equation 3x + 5 = 14, because equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The emblem and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.

Tom is accurate;  

Using partial products, where one of the numbers is divided into smaller pieces and each piece is multiplied by the other number, is an alternate approach. The ultimate result is then calculated by adding the products.

In this instance, Tom has divided 12 into 10 + 2 and is independently multiplying each portion by 18.

10 x 18 = 180

2 x 18 = 36

We only need to combine the two partial products to obtain the outcome:

180 + 36 = 216

Due to the use of two partial products, 10 x 18 and 2 x 18, Tom is accurate that 12 x 18 equals 216.

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Simple workingo ut :)

Answers

Answer:

Step-by-step explanation:

36

A pharmaceutical company producing medicine determines that the ideal weight per dose of a certain drug is 0.05 grams. By law, the actual weight can vary from the ideal value by no more than 0.002 grams. What range of weights will be acceptable to an inspector without causing the pharmacy to be fined?

Answers

Answer:

Below

Step-by-step explanation:

The dose can be .05 gm  ± .002 gm  =  .048 - .052 gm

Find the value of the expression. 8x^3 for x = –2, –1, 0, 3

Answers

-2 *
-64

-1 *
-8

0*
0

3 *
216

Answer:

8(-2)^3= -64

8(-1)^3= -8

8(0)^3= 0

8(3)^3= 216

Hope this helps! Remember PEMDAS (Please forgive My Dear Aunt Sally)

Other Questions
Floyds Bumpers has distribution centers in Lafayette, Indiana; Charlotte, North Carolina; Los Angeles, California; Dallas, Texas; and Pittsburgh, Pennsylvania. Each distribution center carries all products sold. Floyds customers are auto repair shops and larger auto parts retail stores. You are asked to perform an analysis of the customer assignments to determine which of Floyds customers should be assigned to each distribution center. The rule for assigning customers to distribution centers is simple: A customer should be assigned to the closest center. The worksheet Floyds in the provided datafile contains the distance from each of Floyds 1,029 customers to each of the five distribution centers. Your task is to build a list that tells which distribution center should serve each customer. The following functions will be helpful: =MIN(array). The MIN function returns the smallest value in a set of numbers. For example, if the range A1:A3 contains the values 6, 25, and 38, then the formula =MIN(A1:A3) returns the number 6, because it is the smallest of the three numbers: =MATCH(lookup_value, lookup_array, match type). The MATCH function searches for a specified item in a range of cells and returns the relative position of that item in the range. The lookup_value is the value to match, the lookup_array is the range of search, and match type indicates the type of match (use 0 for an exact match). For example, if the range A1:A3 contains the values 6, 25, and 38, then the formula =MATCH(25,A1:A3,0) returns the number 2, because 25 is the second item in the range. =INDEX(array, column_num). The INDEX function returns the value of an element in a position of an array. For example, if the range A1:A3 contains the values 6, 25, and 38, then the formula =INDEX(A1:A3, 2) 5 25, because 25 is the value in the second position of the array A1:A3. (Hint: Create three new columns. 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