1. A machine shop has eight screw machines but only three spaces available in the production area for the machine. In how many different ways can the eight machines be arranged in the three spaces available?
2. A quality control randomly selects two of five parts to test for defects. In a group of five parts, how many combinations of two parts can be selected?

Answer:

60 miles apart

Step-by-step explanation:

Think about it like this, for every inch is 10 miles. The two cities and 6 inches apart so you have 6 inches and that six 10 miles so 10+10+10+10+10+10=60.

(Hope this helps can I pls have brainlist (crown)☺️)

Division C’s highest acceptable transfer price if it were to buy 4,000 units from Division B should be $58.

The transfer price is the price that Division B should charge Division C for the internal supply of goods or services.

Ordinarily, the transfer price equals the outlay cost (production cost) plus the opportunity cost (profit from selling outside).

The highest acceptable transfer price that Division C should reflect the market price at which Division C could acquire the parts from outside.

Division B:

Outside market selling price per unit = $60

Variable cost per unit = $44

Fixed cost per unit = $8

Capacity in units = 20,000 units

Units sold outside by Division B = 15,000 units

Excess units = 5,000 units (20,000 - 15,000)

Units required by Division C = 4,000 units

Outside supplier's price per unit = $58

Thus, the highest acceptable transfer price should be $58 and not $60.

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Answer:

\(x^{-2} = \frac{1}{x^{2} }\)

Step-by-step explanation:

Well since we know that they are multiplying and have the same base we can just add the exponential power.

(x^4)(x^2) = x^(4 +2) = x^6

(x^3)(x^5) = x^(3+5) = x^8

When we are dividing we are subtracting the exponential power.

x^6 / x^8 = x^(6-8) = x^-2

x^-2 = 1 / x^2

Therefore, the rate of change, in cm per minute, of the height when the height is 6 cm is approximately -6 cm/min.

Given,The width of the box = 10 cm Length of the box = 17 cmThe volume of the box = 527 cubic cm/minWe need to find the rate of change, in cm per minute, of the height when the height is 6 cm.We know that the volume of the box is given as:V = l × w × h where, l, w and h are length, width, and height of the box respectively.It is given that the width and length are being held constant.

Therefore, we can write the volume of the box as

:V = constant × h Differentiating both sides with respect to time t, we get:dV/dt = constant × dh/dtNow, it is given that the volume of the box is decreasing at a rate of 527 cubic cm per minute.

Therefore, dV/dt = -527.Substituting the given values in the above equation, we get:

527 = constant × dh/dt

We need to find dh/dt when h = 6 cm.To find constant, we can use the given values of length, width and height.Substituting these values in the formula for the volume of the box, we get:

V = l × w × hV = 17 × 10 × hV = 170h

We know that the volume of the box is given as:V = constant × hSubstituting the value of V and h, we get:

527 = constant × 6 cm

constant = 87.83 cm/minSubstituting the values of constant and h in the equation, we get

-527 = 87.83 × dh/dtdh/dt = -6.0029 ≈ -6 cm/min

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Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

Answer: A=992 P=100/124=800

Step-by-step explanation: Let the sum be 100

Interest =P*R*T/100 = * 4*6/100=24

amount =P+I

100+24

when A =124 P=100

When A=992 P=100/124=800

Answer:

Step-by-step explanation:

\(Solution,\\Amount(A)=992\\Time(T)=4 years\\Rate(R)=1percent\\As,\\\\A=P+I\\\\992=P+\frac{PTR}{100} \\\\992=P+\frac{P*4*1}{100} \\\\992=\frac{100P+4P}{100} \\\\99200=104P\\\\P=\frac{99200}{104} \\\\P=953.84\)

Hey there! :)

-g + 2(3 + g) = -4(g + 1)

Simplify.

-g + 6 + 2g = -4g - 4

Add like terms.

(-g + 2g) + 6 = -4g - 4

Simplify.

g + 6 = -4g - 4

Add 4g to both sides & subtract 6 from both sides to isolate "g."

g + 4g + 6 - 6 = -4g + 4g - 4 - 6

Simplify.

5g = -10

Divide both sides by 5.

5g/5 = -10/5

Simplify.

g = -2

Hope this helped! :)  

Answer: G = -2

Step 1.

Subtract 6 from both sides.

g + 6 - 6 = -4g - 4 - 6

Step 2.

g = -4g - 10

Step 3.

Add 4g to both sides.

g + 4g = -4g - 10 + 4g

Step 4.

Simplify.

5g = -10

Step 5.

Divide both sides by 5.

\(\frac{5g}{5}=\frac{-10}{5}\)

Step 6.

Simplify.

1. Divide 5g by 5.

\(\frac{5g}{5}=g\)

2. Divide -10 by 5.

\(\frac{-10}{5}=-2\)

Hence, -2 is the answer.

Answer:

1

Step-by-step explanation:

\( \sf \: 7 \sqrt{3} + 8 \sqrt{3} \\ = \sf (7 + 8) \sqrt{3} \\ \sf = 15 \sqrt{3} \)

\(\sf \: \sqrt{2} +5 \sqrt{2} \\ = \sf (1 + 5) \sqrt{2} \\ \sf = 6 \sqrt{2} \)

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

a) In the step-by-step explanation.

b)  The null and alternative hypothesis are:

\(H_0: \mu=125000\\\\H_a:\mu> 125000\)

c) P-value = 0.015

d) The conclusion, at a level of significance of 0.05, is that there is enough evidence to support the claim that that area residential property is available at a mean cost significantly higher than $125,000 per lot.

e) The claim of the chamber of commerce is false. We have statistical evidence against that claim and we can conclude that the mean prices are significantly higher than $125,000.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim, expressed in the alternative hypothesis, is that area residential property is available at a mean cost significantly higher than $125,000 per lot.

Then, the null and alternative hypothesis are:

\(H_0: \mu=125000\\\\H_a:\mu> 125000\)

The significance level is 0.05.

The sample has a size n=32.

The sample mean is M=130000.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=12500.

The estimated standard error of the mean is computed using the formula:

\(s_M=\dfrac{s}{\sqrt{n}}=\dfrac{12500}{\sqrt{32}}=2209.71\)

Then, we can calculate the t-statistic as:

\(t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{130000-125000}{2209.71}=\dfrac{5000}{2209.71}=2.26\)

The degrees of freedom for this sample size are:

\(df=n-1=32-1=31\)

This test is a right-tailed test, with 31 degrees of freedom and t=2.26, so the P-value for this test is calculated as (using a t-table):

\(\text{P-value}=P(t>2.26)=0.015\)

As the P-value (0.015) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that that area residential property is available at a mean cost significantly higher than $125,000 per lot.

The values of x and y for the linear equations of y = 24 - 4x and 2x - 3y = -2 are x=5 and y=4.

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the conventional form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present.

Given, the equations are y = 24 - 4x and 2x - 3y = -2

Replacing the value of the first equation of y, which is, y = 24 - 4x, in the second equation, we get:

2x - 3(24-4x) = -2

⇒ 2x - 72 + 12x = -2

⇒ 14x = 70

⇒ x = 70/14

⇒ x = 5

Substituting the value of x=5 in y = 24 - 4x, we get,

y = 24 - 4(5)

⇒ y = 24 - 20

⇒ y = 4

Thus, the values of x and y for the linear equations of y = 24 - 4x and 2x - 3y = -2 are x=5 and y=4.

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The true statement about the parallelogram is (c) Yes, because adjacent sides are congruent.

Given that

Figure ABCD is a parallelogram

Such that

Side lengths = 5 cm

This means that

The figure is a square

As a general rule

All squares can be classified as rhombus

This is because a rhombus is a quadrilateral with all four sides of equal length and square is a type of rhombus in which all four sides are equal in length

Hence, the true statement is (c)

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The the length of each side of the triangle are: 5 units, 8.7 units and 10 units respective

A triangle is a polygon with three sides, three angles, three vertices and sum of angles equal to 180 degrees

From the triangle, Using the trigonometric ratio of sine

Sin C = opposite/Hypothenuse

Sin30 = 5/H

Making h the subject of the relation we have

h= 5/sin30

h=5/0.5

Therefore the value of h=10 units

To find the third side use Pythagoras theorem

10² = 5²+p²

100-25 = p²

75 = p²

Taking the square of both sides

p=√75

p=8.7 units

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Answer:

Negative 4.16 will be the answer

Brittany uses 42 beads for each bracelet and 68 beads for each necklace.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

Brittany  assembled 9 bracelets and 3 necklaces, using a total of 582 beads.

and, For her friend she assembled 9 bracelets and 4 necklaces, using a total of 650 beads.

let the number of beads for bracelet used be x and number of beads for each necklace be y.

So, the system of Equations is

9x + 3y= 582.....(1)

9x + 4y = 650.....(2)

Solving the Equation we get

x= 42 and y = 68.

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Answer:

g(5) + h(3) = 5

Step-by-step explanation:

g(5)

\(g(5) = 4(5) - 3\\\rule{150}{0.5}\\g(5) = 20 - 3\\\\\boxed{g(5)=17}\)

h(3)

\(h(3) = -4(3)\\\rule{150}{0.5}\\\boxed{h(3) = -12}\)

g(5) + h(3)

\(17 + -12\\\rule{150}{0.5}\\17 - 12\\\\\boxed{5}\)

Hope this helps.

Answer:

124

Step-by-step explanation:

Answer:

124

Step-by-step explanation:

When you find the "quotient" of something, you just use division.

Image provided below as proof.

Hope this helps and have a nice day!

The value of function f (4) is,

⇒ f (4) = 19

We have to given that;

The function is,

⇒ f (x) = x² + 3

Now, WE can find the value of f (4) by substitute x = 4 in above function as,

⇒ f (x) = x² + 3

Plug x = 4;

⇒ f (4) = 4² + 3

⇒ f (4) = 16 + 3

⇒ f (4) = 19

Thus, The value of function f (4) is,

⇒ f (4) = 19

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Answer:

A.

The graph shows trigonometric functions intercept the x-axis at minus 3, 0.2, and 3.5 units also pass parallel to the g of the x-axis.

Answer:

100 ≥ 12x + 28

Step-by-step explanation:

He needs $100 for the new bike but already has the $28 so you also have to add 12x because thats what you need to find. X represents the amount of days he has to work.

Answer:

Step-by-step explanation:

1) 180 - 71 = 109° supplement to 71°

2) corresponding angle with given 71°

3) 180 - 71 - (180 - 120) = 49° ∠3 and opposites of ∠2 and ∠4 add to 180°

4) 180 - 120 = 60° corresponding to angle 5

5) 180 - 120 = 60° supplement to given 120°

Answer:

\(54\)

Step-by-step explanation:

Formula for average A of two numbers m and n is:

\(A=\frac{m+n}{2}\)

Substitute the value m=36 and n=72

\(A=\frac{36+72}{2}\)

This is equivalent to:

\(A=\frac{108}{2}\)

The average is:

\(A=54\)

It would take Fran and Denise (working together) approximately \(\frac{24}{7}\) hours to paint the living room.

To solve this problem, we can use the concept of "work rates."

Let's find out how much work Fran and Denise can do individually in one hour.

If Fran takes 6 hours to paint the living room alone, her work rate is \(\frac{1}{6}\) of the room per hour \((\frac{1 room}{6 hours } = \frac{1}{6}room/hour )\).

Similarly, if Denise takes 8 hours to paint the living room alone, her work rate is \(\frac{1}{8}\) of the room per hour \((\frac{1 room}{8 hours } =\frac{1}{8}room/hour )\).

When they work together, their work rates are additive.

So, their combined work rate would be:

\(\frac{1}{6} room/hour+\frac{1}{8} room/hour\)

\(=(\frac{4}{24} )room/hour + (\frac{3}{24} )room/hour\)

\(=\frac{7}{24} room/hour\)

This means that working together, Fran and Denise can paint \(\frac{7}{24}\) of the living room in one hour.

To determine the total time required for them to paint the entire room, we can invert their combined work rate:

\(\frac{(1 room) }{(\frac{7}{24}room/hour) } =\frac{24}{7}hour\)

Therefore, it would take Fran and Denise (working together) approximately \(\frac{24}{7}\) hours to paint the living room.

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1) the rule for the graph is y=3x+3

2) the rule for the graph is y=4x+10

What is slope ?

A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).

1)  slope, m = change in y/change in x = 3/1 = 3

y-intercept = b = 3  

A line's slope intercept form is y=mx+b

Thus, the rule for the graph is y=3x+3

2)  slope, m = change in y/change in x = 4/1 = 4

y-intercept = b = 10

A line's slope intercept form is y=mx+b

Thus, the rule for the graph is y=4x+10

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In order to find the geographic mean between each of this pair of numbers, first we would have to define what is the geographic mean.

The geographic mean is the average of a set of numbers.

Therefore, the geographic mean for A. 28 and 14 would be:

Geographic mean (28,14)= (28*14)^0.5

=(392)^0.5=19.798990

The geographic mean for B. 7 and 36 would be:

Geographic mean (7,36)=(7*36)^0.5

=(252)^0.5=15.874508

So, Geographic mean for (28,14) would be 19.798990 and for (7,36) would be 15.874508

Answer:

9x^2+9xh+3h^2

Step-by-step explanation:

The general rate of change can be found by using the difference quotient formula. To find the average rate of change over an interval, enter a function with an interval: f ( x ) = x 2 , [ 2 , 3 ]

Amelia would have to multiply the number 7/10 on the price on the tags that she has to pay.

Percentage is a part of the whole number. It is denoted by % sign.

1 %= 1/100.

Given that,

The discount on new camera bought by Amelia = 30%.

To find the number that Amelia should multiply to pay,

Let The required number be x,

and total price of the camera is 100%

So after discount the price of camera = 100 - 30 = 70%

Implies that,

100 × x = 70

x = 70 / 100

x = 7 / 10

So the required number is 7/10 that Amelia should multiply the price she would have to pay.

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9514 1404 393

Answer:

  (x, y) = (1, 2)

Step-by-step explanation:

You can solve this by subtracting the first equation from the second.

  (y) - (y) = (4x -2) -(-3x +5)

  0 = 7x -7 . . . . . .simplify

  0 = x -1 . . . . . . . divide by 7

  1 = x . . . . . . . . . .add 1

Use the first equation to find y:

  y = -3(1) +5

  y = 2

The solution is (x, y) = (1, 2).

The equation of the line is x + 3y = 6

The line equation is represented as:

ax + by = c

Where:

x-intercept = 6 i.e. (6, 0)

y-intercept = 2 i.e. (0, 2)

Calculate the slope (m) as follows

m = (2 - 0)/(0 - 6)

This gives

m = -1/3

The linear equation is represented as:

y =mx + c

So, we have

y = -1/3x + c

y-intercept = 2 i.e. (0, 2) implies that

y = -1/3x + 2

Multiply through by 3

3y = -x + 6

Rewrite as:

x + 3y = 6

Hence, the equation of the line is x + 3y = 6

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Answer:

received a refun

Step-by-step explanation:

They will need to get refund based on the information given because I don't see any data to work with here