The following data are accumulated by Lone Peak Inc. in evaluating two competing capital investment proposals:3D Printer TruckAmount of investment $52,000 $48,000 Useful life 4 years 7 years Estimated residual value 0 0 Estimated total income over the useful life $4,160 $15,120 Determine the expected average rate of return for each proposal. If required, round your answers to one decimal place.3D Printer fill in the blank 1 %Truck fill in the blank 2 %

instantaneous rate of change of the search length 0.1667 seconds per

We need to take the derivative of the function S(n) with respect to n and evaluate it at n=12 in order to determine the instantaneous rate of change of the search length for a set of 12 articles.

Taking the derivative of S(n) with respect to n using the chain rule, we get:

S'(n) = 1.6 * (1/(0.8n)) * 0.8 = 2/n

Evaluating this expression at n=12, we get:

S'(12) = 2/12 = 0.1667 seconds per article

This indicates that the search time will increase by approximately 0.1667 seconds per article if the set contains 12 articles by one unit. Alternately, the search time per article will decrease by approximately 0.1667 seconds if the set's number of articles decreases by one unit from 12.

Therefore, the units for the instantaneous rate of change are "seconds per article", indicating the change in search time for each additional or fewer article in the set.

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Answer:

$1.36 per granola bar

Step-by-step explanation:

15 divided by 11 = 1.3636364

Must round to the nearest hundredths place.

Answer:

$0.73 per granola bar.

Step-by-step explanation:

Answer:

-112

Step-by-step explanation:

The position of the scuba diver relative to the surface after diving for 4 minutes is 112 feet.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given that,

A scuba diver descends from the surface at a rate of 28 feet per minute.

So,

1 minute ⇒ 28 feet

Multiply both sides by 4

4 minute ⇒ 4 × 28 feet

4 minutes ⇒ 112 feet.

Hence "The position of the scuba diver relative to the surface after diving for 4 minutes is 112 feet".

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Answer:

he buys 40 juice boxes

Step-by-step explanation:

Answer: good boy good boy

Answer:

the answer is found at option D

Answer:

2°
one solution
(a) The system has no solution

Step-by-step explanation:

Let the smaller angle be x. According to the given condition, the larger angle is forty-four times the smaller angle, which is 44x. Since the angles are complementary, their sum is 90°.

x + 44x = 90

45x = 90

x = 90/45

x = 2

So, the smaller angle is 2°, and the larger angle is 44 times that, which is 88°.

The given system of equations is:

20y = -24x + 40

6x + 5y = 10

To determine the nature of the system, we can compare the slopes of the two equations. If the slopes are equal and the y-intercepts are also equal, the system has infinitely many solutions. If the slopes are equal but the y-intercepts are not equal, the system has no solution. If the slopes are not equal, the system has one solution.

Let's find the slopes of the two equations:

20y = -24x + 40

Dividing by 20, we get: y = (-24/20)x + 2

6x + 5y = 10

Dividing by 5, we get: (5/5)y = (6/5)x + (10/5)

y = (6/5)x + 2

Comparing the slopes, we see that they are equal (both are 6/5), and the y-intercepts are also equal (both are 2). So, the system has infinitely many solutions. The correct answer is (b) The system has infinitely many solutions.

The given system of equations is:

19 = 4y + 12x

12x + 4y = 15

To determine the nature of the system, we can again compare the slopes of the two equations. If the slopes are equal and the y-intercepts are also equal, the system has infinitely many solutions. If the slopes are equal but the y-intercepts are not equal, the system has no solution. If the slopes are not equal, the system has one solution.

Let's find the slopes of the two equations:

19 = 4y + 12x

Dividing by 4, we get: (1/4)(4y + 12x) = 19/4

y + 3x = 19/4

12x + 4y = 15

Dividing by 4, we get: (1/4)(12x + 4y) = 15/4

3x + y = 15/4

Comparing the slopes, we see that they are equal (both are 1/3), but the y-intercepts are not equal. So, the system has no solution. The correct answer is (a) The system has no solution.

Find the common ratio, r, of the sequence

12 000 * r = 9600

r = 9600/12000 =  0.8

12000 ( 0.8)^6   = $ 3145.73  in year 7  ( I used '6' instead of '7' because 12 000 is listed as year '1'   and not year '0' )

The volume of the given cone is 718.01 square feet. Therefore, option H is the correct answer.

The volume of a cone is the amount of space occupied by a cone in a three-dimensional plane. A cone has a circular base, which means the base is made of a radius and diameter. The volume of a cone formula is 1/3 πr²h.

Given that, radius of a base of cone is 7 feet.

A height of a cone equal to its diameter = 7×2 = 14 feet

Here, volume of a cone = 1/3 ×3.14×7²×14

= 718.01 square feet

Therefore, option H is the correct answer.

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Answer:

36 po hope it helps.

Step-by-step explanation:

1728 ÷ 48 = 36.

Answer:

b) 2

Step-by-step explanation:

General equation of a parabola : \(y = a(x-h)^2+k\)

Where (h,k) is the vertex and (x,y) is a point the parabola passes through.

With the given information we can plug in these values and solve for a

First we assign variables

vertex (h,k)  : (4,-3) hence h = 4 and k = -3

parabola goes through (2,5)

(x,y) = (2,5) hence x = 2 and y = 5

We then plug in these values

Equation : \(y = a(x-h)^2+k\)

h = 4, k = -3, x = 2 and y = 5

plug in values

\(5 = a(2-4)^2-3\)

we now solve for a

5 = a(2-4)² - 3

subtract 4 from 2

5 = a(-2)^2 - 3

-2^2 = 4

5 = 4a - 3

add 3 to both sides

8 = 4a

divide both sides by 4

2 = a

Step-by-step explanation:

the area of a parallelogram is

baseline × height

in our case

7.7 × 2 = 15.4

and just in case, remember, as the side and height lengths are in m (meters), the area result is in m² (square meters).

Answer:

1.3 to the twenty-eighth power over 1.2 to the twenty-first power

Step-by-step explanation:

The equivalent expression for 1.2 cubed over 1.3 raised to the fourth power all raised to the power of negative seven is 1.3 cubed over 1.2 raised to the fourth power.

To find the equivalent expression, we need to use the rule that x^a / x^b = x^(a-b) for any value of x except 0.

In this case, we have 1.2^3 / 1.3^4 raised to the power of -7. Applying the rule, we get:

(1.2^3 / 1.3^4)^-7 = (1.2^(-4) / 1.3^3)^7

Since the exponent of a number raised to a power is the same as the power, we can rewrite the expression as:

1.2^(-47) / 1.3^(37)

Simplifying, we get:

1.2^(-28) / 1.3^(21)

Which is the same as:

1.3^(21) / 1.2^(28)

This is the same as the expression 1.3 cubed over 1.2 raised to the fourth power. Therefore, the equivalent expression for 1.2 cubed over 1.3 raised to the fourth power all raised to the power of negative seven is 1.3 cubed over 1.2 raised to the fourth power.

Answer:

To find the mean of a data set, add all the values together and divide by the number of values in the set. The result is your mean!

Step-by-step explanation:

hehehe i hope its correct

Answer:

a) 9+9=18

b) 9

Step-by-step explanation:

Therefore , the solution of the given problem of unitary method comes out to be yields 6 quarts of punch as a result.

This common convenience, already-existing variables, or all important elements from the original Diocesan customizable survey that followed a particular event methodology can all be used to achieve the goal. If it does, there will be another chance to get in touch with the entity. If it doesn't, each of the crucial elements of a term proof outcome will surely be lost.

Here,

The quantity of punch produced by the recipe is:

If the punch bowl has an 8-quart capacity and the recipe fills it 3/4 full.

=> 6 pints =  8 * 3/4.

The formula yields 6 quarts of punch as a result.

Therefore , the solution of the given problem of unitary method comes out to be yields 6 quarts of punch as a result.

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Answer:

D.a translation 12 units right and 2 units down

Answer:

D

Step-by-step explanation:

If you take one of the point and compare it to the corresponding one on the second triangle, you can see that it is a translation of 12 right 2 down.

The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.

To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.

The slope of a line can be found using the formula:

slope = (change in y) / (change in x)

For the line containing (1,2) and (5,3), the slope is:

slope1 = (3 - 2) / (5 - 1) = 1 / 4

To find the slope of the line containing (x,4) and (3,0), we use the same formula:

slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.

So, we can set up the equation:

-1 / (1/4) = -4 / (3 - x)

Simplifying this equation:

-4 = -4 / (3 - x)

To remove the fraction, we can multiply both sides by (3 - x):

-4(3 - x) = -4

Expanding and simplifying:

-12 + 4x = -4

Adding 12 to both sides:

4x = 8

Dividing both sides by 4:

x = 2

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Answer: The answer is D. the last option

Step-by-step explanation:

The correct answer is option d) The graph is the radical function, y = √x shifted right 1 unit and up 4 units.

The original function is y = √(x - 1) + 4, which represents a radical function.

This function involves taking the square root of the quantity (x - 1) and then adding 4 to the result.

By shifting the function right 1 unit, we are replacing x with (x - 1). This means that the graph will be shifted horizontally by 1 unit to the right compared to the standard square root function.

By shifting the function up 4 units, we are adding 4 to the output of the square root function.

This means that the graph will be shifted vertically by 4 units compared to the standard square root function.

Therefore, the graph of the function y = √(x - 1) + 4 is the radical function y = √x shifted right 1 unit and up 4 units.

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Answer:

The answer is x=0

Step-by-step explanation:

2(0-3)+9=3(0+1)+(0)

2(-3)+9=3(1)+0

-6+9=3

3=3

Yes

Answer:

Negative numbers cannot have square roots.

Step-by-step explanation:

Anything multiplied by itself will always equal a positive number, not negative.

Answer:

If you're saying Jan ate 1/4 of what was left. How much of the pie did Jan eat?

then the answer is 5/32

Step-by-step explanation:

There is no guarantee of the data values. The standard deviation is simply a measure of how spread out the data values are from their mean.

Generally, Standard deviation is a measure of the amount of variation or dispersion of a set of values. It is calculated as the square root of the variance, and it is commonly used to measure the spread of data in a probability distribution.

It is calculated by first finding the mean of a set of values and then subtracting each value from the mean and squaring the result. The sum of these results is then divided by the number of values in the set and then the square root of this value is taken to find the standard deviation.

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Answer:

3lbs

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

move the decimal 1 place to the right

divide the numbers

write a result

multiply the prevoius result by 28

write that result under the previous result

subtract the numbers

divide 28 by 140

write result

multiply previous result

write result under number we prevoisly divided

subtract

4.5

The value of adjusted R^2 is the closest to 0.66. So the option d is correct option.

In the given question,

A multiple regression model with four explanatory variables is estimated using 25 observations.

SSE = 660 and SST = 1,000.

We have to find the value of adjusted R^2.

We know ,

R^2 = SSE/SST

R^2 = 660/1000

R^2 = 0.66

and, we know ,\(R_{adj}^2 \ngtr R^2\) and should be close to R^2.

So, adjusted R^2 should be close to 0.66.

Note :

\(R^2_{adj}\) = 1- (n-1)/(n-p-1) (1-R^2)

where , n = no. of observations and p = no. of independent variables .

So, \(R^2_{adj}\) = 1- (24)/(20) (1-0.66)

\(R^2_{adj}\) = 0.592 which is close to 0.66.

Hence, the value of adjusted R^2 is the closest to 0.66. So the option d is correct option.

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Answer:

I don't know what your asking but if its simplifying then its 7(7w+3)

Step-by-step explanation:

\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)

____________________________________

\( \large \tt Solution \: : \)

\(\qquad \tt \rightarrow \: 6(3x - 7) = 2\)

Step 1 -

\(\qquad \tt \rightarrow \: 18x - 42 = 2\)

[ distributive property ]

Step 2 -

\(\qquad \tt \rightarrow \: 18x = 2 + 42\)

\(\qquad \tt \rightarrow \: 18x = 44\)

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

d) Step 1: 18x - 42 = 2

Step 2: 18x = 44

Step-by-step explanation:

Given equation,

→ 6(3x - 7) = 2

Now the value of x will be,

→ 6(3x - 7) = 2

→ 6(3x) - 6(7) = 2

→ 18x - 42 = 2

→ 18x = 2 + 42

→ 18x = 44

→ x = 44/18

→ [ x = 22/9 ]

Hence, value of x is 22/9.