Answer the following question

while assuming 100% efficient

utilization of resources:

The PPF Model can be used to

show that with an increase in

the production of microchips,

what would happen to the

production of weaponry by the

same company?

A. The production of weaponry would

decrease.

B. The production of weaponry would

increase.

C. There would be no change in the

production of weaponry.

Answer:

orthocentre

Step-by-step explanation:

A triangle's three altitudes intersect at the orthocentre

Answer:

C

Step-by-step explanation:

The y-intercept of the line is -4, immediately eliminating D. The two definite points on the graph I could visually confirm were (0,-4) and (1, -1). You had to "rise" 3 units and "run" 1 unit. This is a slope of 3/1 or 3. In y=mx+b form, The equation is f(x)=3x-4 or C.

Answer:

i would say 18/24

Step-by-step explanation:

Answer:  0.49 dollars, which is equivalent to 49 cents

==========================================================

Work Shown:

Divide the total cost over the number of items to get the unit cost

unit cost = (total cost)/(number of items)

unit cost = (1.47)/(3)

unit cost = 0.49 dollars

unit cost = 49 cents

---------------------------

Another approach:

3 oranges = 1.47 dollars

3/3 oranges = 1.47/3 dollars

1 orange = 0.49 dollars

1 orange = 49 cents

The unit cost is the cost of 1 item, so the the unit cost is 49 cents per orange.

Answer:

See the attached image for work.

1) The slope is 4.

2) The slope is 2.

Answer:

on the first one the rise is 20 and the run is 5. 5 divided by 20 is 4 so the slope is 4. I haven't answered the second one yet, sorry.

Answer:

The answer for this is B 15/36

The percentage of attorneys in given range is approximately 50%.

The boxplot below represents the salaries of attorneys in Los Angeles.

We can estimate the percentage of attorneys who have salaries between $55,000 and $80,000 by counting the number of boxes between the range (called the interquartile range, or IQR), which is from $55,000 to $80,000.

There are two boxes within the range, and two boxes that are not within the range (called the lower and upper outliers).

Thus, the percentage of attorneys with salaries between $55,000 and $80,000 is approximately 50%.

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The partial fraction expansion will look like

(x - 2)/((x ² + 1) (x - 1)²) = (ax + b)/(x ² + 1) + c/(x - 1) + d/(x - 1)²

Get everything in terms of a common denominator, and compare the numerators on both sides:

x - 2 = (ax + b) (x - 1)² + c (x ² + 1) (x - 1) + d (x ² + 1)

Expand the right side:

x - 2 = (ax + b) (x - 1)² + c (x ² + 1) (x - 1) + d (x ² + 1)

x - 2 = (a + c) x ³ + (-2a + b - c + d) x ² + (a - 2b + c) x + b - c + d

Match up the coefficients and solve the resulting system of equations:

a + c = 0

-2a + b - c + d = 0

a - 2b + c = 1

b - c + d = -2

==>   a = -1, b = -1/2, c = 1, d = -1/2

So the expansion into partial fractions is

(x - 2)/((x ² + 1) (x - 1)²) = (-x - 1/2)/(x ² + 1) + 1/(x - 1) - 1/(2 (x - 1)²)

… = -(2x + 1)/(2 (x ² + 1)) + 1/(x - 1) - 1/(2 (x - 1)²)

Answer:

This is an example of positive nonlinear association

Step-by-step explanation:

So we know for a fact that the relationship between the the variables in the scatter plot is positive because its going up

The relationship is non linear because it has a curve

The given scatterplot is option C. Positive Linear Association.

Here, we have,

we know that,

Scatterplots are the plotting of set of points on a vertical axis and an horizontal axis. The shows the correlation extent between the numbers of the observed quantities.

Given is a scatterplot.

A scatterplot is positive if an increase or decrease in one of the quantity results in the corresponding increase or decrease in the other quantity.

If it is opposite, then the relation is negative.

Here, when the x value increases, y value is also increasing.

So the relationship is positive.

A scatterplot show a linear relationship, if the values are closely resembling in a line.

Here the points are closely resembling on a line.

So it is linear.

Hence the relationship is positive linear relationship.

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Answer:

(x+2)^2 - 6

Step-by-step explanation:

Answer:

Well there are 16 oz in every pound soooo the answer would be

4 pounds 3 ounces

Step-by-step explanation:

Answer:

im pretty sure a b g

Step-by-step explanation:

Answer:

13.2 g

Step-by-step explanation:

let x = grams sugar in a 200 ml glass

16.5 g sugar / 250 ml = x g sugar / 200 ml

x(250) = (16.5)(200)

x =  (16.5)(200) / (250) = 3300 / 250 = 13.2

Answer:  there are 13.2 g sugar in a 200 ml glass of juice

Based on the cost of the calculator, the discount, the shipping fee, and the tax, the total cost of the purchase was a. $80.07

The cost of the calculator was:

= Cost of calculator x ( 1  - discount)

= 83 x ( 1 - 15%)

= $70.55

The sales tax would be:

= 70.55 x 4.5%

= $3.17

The total cost would be:

= Cost + Sales tax + Shipping fee

= 70.55 + 3.17 + 6.35

= $80.07

In conclusion, the total is $80.07.

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Answer:71

Step-by-step explanation:1775/25

Answer:

71 bags

Step-by-step explanation:

Each bag: 20 pennies

Pennies count: 1775

Final Answer: 71 bags

Explain:

1775 / 25 = 71

To solve this problem, we have to use the equivalence of each type in dollars.

Taking x, y and z as the number of nickels, dimes and quarters, we have that:

0.05 is the equivalence of one nickel in dollars, same for 0.1 and 0.25 with dimes and quarters respectively.

Now, we know that she has 2 more dimes than nickels:

And 4 more quarters than nickels:

We can use the expression for y and z in terms of x in the first equation to find the value of x (number of nickels):

Once we have found x, we can use it to find y and z using the equations we stated:

It means that Susan has 3 nickels, 5 dimes and 7 quarters.

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According to above figure, we can conclude that :

Answer:

The answer for Q35 is : 176 cubic feet

Step-by-step explanation:

V = 16×3×2+16×5

= 96 + 80

= 176 cubic feet

Answer:

(1,2) (3,2) ( 5,2)

Step-by-step explanation:

Each input value can only go to one output value

The only one that has each input only going to one output is (1,2) (3,2) ( 5,2)

The length of the base of the rectangle with an area of 21 m and height of 2 m is 10.5 meters.

A rectangle is a 2-dimensional shape with parallel opposite sides equal to each other and four angles are right angles.

Area of a rectangle is expressed as;

A = length × breadth

Given that the area of the rectangle is 21 square meters and the height is 2 meters, we can substitute these values into the formula and find the base length:

A = length × breadth

21 = length × 2

To solve for the length, we divide both sides of the equation by 2:

Length = 21 / 2

Length = 10.5 m

Therefore, the length of the rectangle is 10.5 m.

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A sampling frequency of 10 pixels per millimeter would produce a spatial resolution of 5 line pairs per millimeter (B).

A sampling frequency of 10 pixels per millimeter would produce a spatial resolution of B. 5 line pairs per millimeter.
Here's a step-by-step explanation:

1. The sampling frequency is given as 10 pixels per millimeter.
2. According to the Nyquist-Shannon sampling theorem, the maximum spatial frequency (in line pairs per millimeter) that can be accurately represented is half of the sampling frequency.
3. Divide the sampling frequency (10 pixels per millimeter) by 2: 10/2 = 5 line pairs per millimeter.

So, the answer is B. 5 line pairs per millimeter.

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One kilogram is equal to 1000 grams. To convert kg to oz, we multiply by 35.27396195, and to convert oz to kg we multiply by 0.0283495231.

In science and everyday life, it's important to know how to convert between different units of weight. One common conversion that is often needed is converting kilograms (kg) to ounces (oz).

A kilogram (kg) is a unit of weight in the International System of Units (SI). It is defined as the base unit of mass. One kilogram is equal to 1000 grams.

An ounce (oz) is a unit of weight commonly used in the United States and other countries. It is defined as 1/16 of a pound.

To convert a quantity in ounces to kilograms, you can use the conversion factor of 0.0283495231 kg/oz. For example, if you want to convert 100 ounces to kilograms, you would do the following calculation: 100 oz x 0.0283495231 kg/oz = 2.83495231 kg.

It's worth noting that the conversion factor between kg and oz is not exact, so it is important to be careful when working with very large or very small numbers in oz.

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A score of x = 60 on an exam with μ = 72 and σ = 12 is comparatively better than a score of x = 70 on an exam with μ = 82 and σ = 8.

To compare the two scores, we can convert them to z-scores, which tell us how many standard deviations a particular value is from the mean. The formula for z-score is:

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation.

For the first score of x = 70 on an exam with μ = 82 and σ = 8, the z-score is:

z = (70 - 82) / 8 = -1.5

For the second score of x = 60 on an exam with μ = 72 and σ = 12, the z-score is:

z = (60 - 72) / 12 = -1.0

The z-score for the first score is lower than the z-score for the second score, which means that the first score is further below its mean than the second score is below its mean. Therefore, we can say that a score of x = 60 on an exam with μ = 72 and σ = 12 is comparatively better than a score of x = 70 on an exam with μ = 82 and σ = 8.

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Answer:

Step-by-step explanation:

Given,

Back of lot of the trapezoid = 175

Front of lot of the trapezoid = 185

Length of lot of the trapezoid = 100

Therefore,

Area of the trapezoid

\( = \frac{a + b}{2} c\)

\( = \frac{175 + 185}{2} \times 100\)

= 360 × 50

= 18000

Hence,

We got the Total Area as 18000.

As per given equation,

Solution ,

\( = > \frac{40}{100} = \frac{x}{total \: area} \)

\( = > \frac{40}{100} = \frac{x}{18000} \)

=> 40 × 18000 = 100 × x

=> 720000 = 100x

\( = > \frac{720000}{100} = \frac{100x}{100} \)

=> x = 7200

Hence,

Xavier's avaliable lot coverage (x) = 7200 (Ans)

Answer:

C. -1

Step-by-step explanation:

Slope is: \(m=\frac{y_2-y_1}{x_2-x_1}\)

We are given the points (1,7) and (3,5).

\(m=\frac{5-7}{3-1} =\frac{-2}{2} =-1\)

The slope is -1, and therefore, Option C should be the correct answer.

Calculating the obtuse angle or value of a triangle.

Finding obtuse angle value:

steps:

1)  Square the length of both sides of the triangle that intersect to create the obtuse angle, and add the squares together.

For example, if the lengths of the sides measure 4 and 2, then squaring them would result in 16 and 4. Adding the squares together results in 20.

2)  Square the length of the side opposite the obtuse angle. For the example, if the length is 5, then squaring it results in 25.

3) Subtract the combined squares of the adjacent sides by the square of the side opposite the obtuse angle. For the example, 25 subtracted from 20 equals -5.

4)  Multiply the lengths of the adjacent sides together, and then multiply that product by 2. For the example, 4 multiplied by 2 equals 8, and 8 multiplied by 2 equals 16.

5) Divide the difference of the sides squared by the product of the adjacent sides multiplied together then doubled. For the example, divide -5 by 16, which results in -0.3125.

The obtuse angle value is obtained by inverse of cos:

cos^-1(-0.3125)

= 108.209 degrees.

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Answer:

21

Step-by-step explanation:

Since the girls have the same age, let their age be x.
Then, their average is

\(\frac{x+x}{2} = \frac{2x}{2} = x\)

Let \(S_{i}\) denote the age of 'i' girls.
Then, \(S_{8} = S_{6} + x + x - eq(1)\)

Also, we have,

\(\frac{S_{8}}{8} =15 - eq(2)\)

\(\frac{S_{6}}{6} =13 - eq(3)\)

Then eq(2):

(from eq(1) and eq(3))

\(\frac{S_{6} + 2x}{8} =15\\\\\frac{13*6 + 2x}{8} = 15\\\\78+2x = 120\\\\2x = 120-78\\\\x = 21\)

The average of the other two girls with equal age​ is 21

Answer:

Step-by-step explanation:

You want two methods of choosing points on the line with slope 1/2 through A(-1, 2).

Writing the equation in standard form, we can find the x- and y-intercepts. To get there, we can start from point-slope form:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -2 = 1/2(x -(-1)) . . . . . using given slope and point

  2y -4 = x +1 . . . . . . . . . . multiply by 2

  x -2y =  -5 . . . . . . . . . . . . add -1 -2y

Setting x=0 tells us the y-intercept is ...

  0 -2y = -5

  y = -5/-2 = 5/2

So, the y-intercept is (0, 5/2).

Setting y=0 tells us the x-intercept is ...

  x -2(0) = -5

  x = -5

So, the x-intercept is (-5, 0).

It will be convenient to choose an arbitrary y-value to find another point on the line. We can pick y = 6, for example, Then the corresponding x-value is ...

  x -2y = -5

  x = -5 +2y = -5 +2(6) = 7

Another point on the line is (7, 6).

__

Additional comment

If we were to choose an arbitrary value for x, we would want it to be odd, so the corresponding y-value would be an integer. We chose to pick an arbitrary value of y so we didn't have to worry about how to make the x-value an integer.

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