express -64/112as a rational number with denominator 7. plz explain ​

The correct answer is: III only. Variance investigation is typically based on a cost-benefit analysis.

Statement I is incorrect because the relative size of a variance, in comparison to other variances, can be important in understanding its significance.

Statement II is incorrect because variance investigation does not focus solely on unfavorable variances. Both favorable and unfavorable variances are considered during the investigation.

Statement III is true. Variance investigation is typically based on a cost-benefit analysis, where the potential benefits of investigating and addressing variances are weighed against the associated costs.

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Answer:

Its definitely B 84.5

I took the test

Step-by-step explanation:

Answer:

87

Step-by-step explanation:

The median score is the score that appears in the middle of the graph and the set of numbers. 87 is the median score.

Given:

The radius of the sphere is 4 cm.

To find: The volume of the sphere

Explanation:

The formula of the volume of a sphere is,

Substituting the values we get,

Final answer: The volume of the sphere is 267.95 cubic cm.

When comparing the two numbers we get that 116/9 is greater than square root of 160.

The square root of 160

= √160

= 12.6491...

≈ 12.65

The fraction number is 116/9 , converting to decimal we get:

116/9

= 12.888

≈ 12.89

Now comparing the two numbers we get:

12. 89 > 12.65

hence 116/9 > 12.65

The opposite of squaring an integer is finding its square root. Finding a number that, when squared, yields the original value will reveal the square root of a number, which is found by multiplying it by itself. If "a" is equal to "b" squared, then a = b.

Every number has four roots that are four by four, one of a positive value and one of a negative value, because the square of almost any integer always represents a positive number. For instance, the square roots of 4 are both 2 and -2. However, the square root of an integer is typically expressed using only the positive value.

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The solution to the compound inequality expression s + 2 > 4 OR −1 + s ≤ − 7 is 2 < s ≤ − 6

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

s + 2 > 4 OR −1 + s ≤ − 7

Make the variable s the subject of both inequalities

This is done by subtracting the constant terms from both sides

So, we have the following representation

s + 2 - 2 > 4 -2 OR 1 − 1 + s ≤ − 7 + 1

Evaluate the like terms

s > 2 OR s ≤ − 6

When the individual inequalities are combined, we have

2 < s ≤ − 6

Hence, the solution is 2 < s ≤ − 6

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Answer:

6% chance

Step-by-step explanation:

I think it would be 0.1 * 0.6 which is 0.06

Answer:

Step-by-step explanation:

The correct check digit for the UPC code 6-73419-23216- is "3".

The check digit is used to verify the accuracy of the UPC code when it's scanned. It's the last digit of a UPC code and is calculated using a formula based on the first 11 digits.

The formula involves adding up the digits in the odd-numbered positions and multiplying the sum by three, then adding up the digits in the even-numbered positions, and subtracting the second sum from the first sum.

The check digit is then calculated by taking the difference and finding the smallest number that, when added to the difference, is a multiple of 10. The result of this calculation is the check digit.

In this case, the correct check digit is "3".

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The absolute maximum and  minimum value of f(x) on the interval [-7, 16] is 2.358, -2.358 at x = 8 and x = -8

To find the absolute maximum and absolute minimum values of the function \(f(x) = x*e^{(-x^2/128)}\) on the interval [-7, 16], we need to look for the critical points and the endpoints of the interval.

First, let's find the critical points by taking the derivative of f(x) and setting it equal to zero:

\(f(x) = x*e^{(-x^2/128)}\)

\(f'(x) = e^{(-x^2/128)} - (x^2/64)*e^{(-x^2/128)}\)

Setting f'(x) equal to zero, we get:

\(e^{(-x^2/128)} - (x^2/64)e^{(-x^2/128)} = 0\)

\(e^{(-x^2/128)(1 - x^2/64) }= 0\)

So either\(e^{(-x^2/128)} = 0\) (which has no solutions), or\(1 - x^2/64 = 0\), which gives us x = ±8.

Next, we need to check the endpoints of the interval:

\(f(-7) = -7e^{(-49/128)} \approx -0.091\)

\(f(16) = 16e^{(-256/128)} \approx 0.090\)

Now we can compare the values of f(x) at the critical points and endpoints to find the absolute maximum and absolute minimum values:

f(-7) ≈ -0.091

\(f(8) = 8e^{(-64/128)} \approx 2.358\)

\(f(-8) = -8e^{(-64/128)} \approx -2.358\)

f(16) ≈ 0.090

So the absolute maximum value of f(x) on the interval [-7, 16] is approximately 2.358, and it occurs at x = 8.

The absolute minimum value of f(x) on the interval [-7, 16] is approximately -2.358, and it occurs at x = -8.

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The line of the graph is a solid line and the region to be shaded depends on the type of the inequality

The graph represents the given parameter

On the graph, we have a straight continuous line

A straight continuous line is an illustration of a solid line

This means that the line of the graph is a solid line

Hence, the line of the graph is a solid line

The graph represents the given parameter

On the graph, we can see that no region of the graph is shaded

This means that the shaded region would be determined by the type of the inequality

≥ means that the region would be shaded above

≤ means that the region would be shaded below

Hence, the region to be shaded depends on the type of the inequality

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Answer:x is6 y is 3

Step-by-step explanation:

Using the distributive property, the expanded form of (−1/4)(−8x+12y) is c) 2x - 3y.

The distributive property states that when you multiply a number or a variable expression by a sum or a difference, you can distribute the multiplication over each term within the parentheses.

So, to expand the expression (−1/4)(−8x+12y), we can apply the distributive property by multiplying -1/4 to each term inside the parentheses:

(−1/4)(−8x+12y) = (−1/4) × (−8x) + (−1/4) × (12y)

= (1/4) × 8x − (1/3) × 12y

= 2x − 3y

Therefore, the expanded form of (−1/4)(−8x+12y) is 2x − 3y. Hence, the correct answer is (c) 2x-3y.

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Answer:

50percent

Step-by-step explanation:

30 is half 60

Answer: Hi

We can use the information given to set up the inequality:

Weight of refrigerators + weight of pianos <= 6900 (since the truck can carry no more than 6900 lb)

We can use the weight of each item to write the inequality in terms of x (number of refrigerators) and y (number of pianos):

300x + 525y <= 6900

To graph the inequality, we can use the x and y values as coordinates and plot them on a coordinate plane. The line representing the inequality would be a boundary line, with all the points that satisfy the inequality on one side of the line, and all the points that do not satisfy the inequality on the other side of the line.

To check if 12 refrigerators and 9 pianos will overload the truck, we can substitute these values into the inequality:

300(12) + 525(9) = 3900 + 4725 = 8625

Step-by-step explanation:

To sum up, the inequality 300x + 525y <= 6900 represents the weight that the truck can carry. The points that satisfy the inequality (such as (4, 6) or (10, 3)) would represent a combination of refrigerators and pianos that the truck can carry, while the points that do not satisfy the inequality (such as (12, 9)) would represent a combination that overloads the truck.

Answer:

As x approaches positive infinity, the average salary for science and engineering faculty will eventually be greater than the average salary for arts and humanities faculty.

Step-by-step explanation:

First consider the f(x) values on the graph as x increases on the interval 0 to 10 years. The average salary increases over the entire interval and reaches a maximum value of approximately $66,000.

Next create a table to show the values for function g.

0 16,188

1 18,366

2 21,101

3 25,000

4 40,000

5 55,000

6 58,899

7 61,634

8 63,811

9 65,650

10 67,257

The maximum value of function g is greater than the maximum value of function f. Therefore, as x approaches positive infinity, the average salary for science and engineering faculty will eventually be greater than the average salary for arts and humanities faculty.

In my opinion the answer it either A or C because they make the most sense if you calculate.

Solve for u using the equation -7u - 5 = 2

Now that we know the value of u, substitute it to the expression 2u + 7.

Answer:

The width of the base is 120ft. The length of the base is 60ft less than three times the width [1][2], so the length of the base is 180ft. Therefore, the dimensions of the base are 120ft x 180ft.

Given the function:

To graph the given function, first, we will graph the parent function [ cot x]

the function [cot x] has a period of π and has an x-intercept at x = π/2

then we will make a shift to the left side by (π/6)

the graph of the function will be as shown in the following picture:

As shown, the red dot graph is the function [cot x]

and the blue graph is the given function f(x)

Kris's bike had the best mileage among the three, as it covered the longest distance per gallon of gas.

To compare the mileage of the bikes, we can calculate the unit rate of distance per gallon of gas for each bike.

For Kris's bike: Distance covered = 297 miles, Gas consumed = 4.5 gallons

Unit rate = Distance / Gas = 297 miles / 4.5 gallons ≈ 66 miles/gallon

For Jake's bike: Distance covered = 366 miles, Gas consumed = 6 gallons

Unit rate = Distance / Gas = 366 miles / 6 gallons ≈ 61 miles/gallon

For Ben's bike: Distance covered = 265.2 miles, Gas consumed = 5.2 gallons

Unit rate = Distance / Gas = 265.2 miles / 5.2 gallons ≈ 51 miles/gallon

Comparing the unit rates, we can see that Kris's bike has the highest value, approximately 66 miles per gallon. Therefore, Kris's bike gave the best mileage among the three bikes.

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Answer:

The Correct Answer is :

y=8/9-8x/9

9y + 8x = 8

-8x -8x

9y = -8x + 8

Divide both sides by 9

y = -8x/9 + 8/9

For a straight path, simply measure its length; for a circular path, use the formula 2πr (where r is the radius).

After calculating the length. To determine the length of the path to the nearest foot, you will need to measure the distance from the starting point to the end point using a measuring tool such as a tape measure or a ruler.

The distance should be measured in a straight line between the two points. If the path is curved or has multiple turns, you may need to use a more complex measuring tool such as a surveyor's wheel or GPS device. Once you have the distance, you can round it to the nearest foot using standard rounding rules. This will give you an approximate length of the path to the nearest foot.

Usually, this involves knowing the shape of the path, such as straight, circular, or curved, and any relevant dimensions, such as length, width, or radius. Once you have this information, apply the appropriate mathematical formula to calculate the length.

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Answer:

x = 17

Step-by-step explanation:

let x be the number she is thinking about

5x + 8 = 93

Rearrange

5x = 85

x = 17

Answer:

205

Step-by-step explanation:

30×7-10+5 = 210-10+5

= 200+5

= 205

Answer:

Use the PEMDAS method. it helps alot

Answer: 6:30

Step-by-step explanation: every number you count by 5 and the short hand is the hour hand.

Answer:

3 hours

Step-by-step explanation:

it is $100 for 1 hour right. Ok so forget about the hourly rates. Then you are left with $300. $300 total÷100 per hour = 3 hours.

Answer:

The total is 3 hours

      Hope this help! good luck :)

The first term of the infinite geometric series is 625.Let's dive deeper into the explanation.

We are given that the sum of the infinite geometric series is \(\( \frac{15625}{24} \)\)and the common ratio is\(\( \frac{1}{25} \).\)The formula for the sum of an infinite geometric series is \(\( S = \frac{a}{1 - r} \)\), where \( a \) is the first term and \( r \) is the common ratio.
Substituting the given values into the formula, we have \(\( \frac{15625}{24} = \frac{a}{1 - \frac{1}{25}} \).\)To find the value of \( a \), we need to isolate it on one side of the equation.
To do this, we can simplify the denominator on the right-hand side.\(\( 1 - \frac{1}{25} = \frac{25}{25} - \frac{1}{25} = \frac{24}{25} \).\)
Now, we have \(\( \frac{15625}{24} = \frac{a}{\frac{24}{25}} \).\) To divide by a fraction, we multiply by its reciprocal. So, we can rewrite the equation as \( \frac{15625}{24} \times\(\frac{25}{24} = a \).\)
Simplifying the right-hand side of the equation, we get \(\( \frac{625}{1} = a \).\)Therefore, the first term of the infinite geometric series is 625.
In conclusion, the first term of the given infinite geometric series is 625, which corresponds to option (a).



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Option 2 is correct that is 1.79

When presented in ascending order, the value that 75% of data points fall within is known as the higher quartile, or third quartile (Q3).

The quartiles formula is as follows:

Upper Quartile (Q3) = 3/4(N+1)

Lower Quartile (Q1) = (N+1) * 1/3

Middle Quartile (Q2) = (N+1) * 2/3

Interquartile Range = Q3 -Q1,

1.74, 0.24, 1.56, 2.79, 0.89, 1.16, 0.20, and 1.84 are available.

Sort the data as follows: 0.20, 0.24, 0.89, 1.16, 1.56, 1.74, 1.84, 2.79 in ascending order of magnitude.

The data set has 8 values.

hence, n = 8; third quartile: 3/4 (n+1)th term

Q3 =3/4 of a term (9) term

Q3 =27/4 th term

Q3 = 1.74 + 1.84 / 2 (average of the sixth and seventh terms)

equals 1.76

Thus Q3 is 1.76 that is option 2

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Answer:

Hey there

It is 60466176

Answer:

60,466,176

Step-by-step explanation:

6 * 6 * 6 * 6 * 6 * 6 * 6 * 6 * 6 * 6

We start by integrating the given function f''(x) twice to find f(x):

f''(x) = 12x^2 + 6x - 4

Integrating both sides with respect to x:

f'(x) = 4x^3 + 3x^2 - 4x + C1

where C1 is a constant of integration.

Applying the initial condition f(0) = 8, we get:

f'(0) = C1 = 8

Therefore, f'(x) = 4x^3 + 3x^2 - 4x + 8

Integrating both sides again with respect to x:

f(x) = x^4 + x^3 - 2x^2 + 8x + C2

where C2 is a constant of integration.

Applying the second initial condition f(1) = 2, we get:

f(1) = 1 + 1 - 2 + 8 + C2 = 8 + C2 = 2

Therefore, C2 = -6

Thus, the function f(x) is:

f(x) = x^4 + x^3 - 2x^2 + 8x - 6

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