solve pls brainliest

Answer:

B

Step-by-step explanation:

Note that i² = - 1

Given

(4 - 2i)(1 + 7i) ← expand factors using FOIL

= 4 + 28i - 2i - 14i²

= 4 + 26i + 14

= 18 + 26i → B

Labor content (labor dollar per unit) is the total cost of labor required to produce one unit of a product. It can be calculated by dividing the total labor cost by the number of units produced.

In this scenario, we are given that an employee produces 17 parts during an 8-hour shift and earns $109 per shift.

To calculate the labor content, we first determine the labor cost per hour. This is done by dividing the total amount earned in the 8-hour shift by 8.

Labor cost per hour = $109 ÷ 8 = $13 per hour

Next, we calculate the number of parts produced per hour by dividing the total number of parts produced (17) by the duration of the shift (8 hours).

Parts produced per hour = 17 ÷ 8 = 2.125 parts per hour

Finally, we calculate the labor cost per part by dividing the labor cost per hour by the number of parts produced per hour.

Labor cost per part = $13 ÷ 2.125 = $6.12 per part

Therefore, the labor content (labor dollar per unit) of the product is $6.12 per part.

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The volume of the given combined solids is 675 cm³.

The given combined solid is made up of two solids. A rectangular solid and a triangular prism. The dimensions of the rectangular solid are length, width, and height 15 cm, 6 cm, and 5 cm, respectively, while the triangular prism has a height of 6 cm and a base of 5 cm.

The rectangular solid is placed on the triangular prism such that the rectangular solid's width coincides with the base of the prism's triangle.Find the volume of the given combined solids.

Since the rectangular solid is on top of the triangular prism, we will compute the two volumes separately and then add them together to obtain the combined volume.

Volume of rectangular solid = l × w × h= 15 cm × 6 cm × 5 cm= 450 cm³

Volume of triangular prism= 1/2 × base × height × length= 1/2 × 5 cm × 6 cm × 15 cm= 225 cm³

To get the combined volume, we add the two volumes together:Combined volume= 450 cm³ + 225 cm³= 675

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Step-by-step explanation:

\( {x}^{2} - 2x = - 2 \\ {x}^{2} - 2x + 2 = 0 \\ x = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a} \\ x = \frac{ - ( - 2)± \sqrt{ {( - 2)}^{2} - (4 \times 1 \times 2)} }{2 \times 1} \\ x = \frac{2± \sqrt{ - 4} }{2} \\ x = \frac{2±2i}{2} \\ x = \frac{2 + 2i}{2} \: or \: \frac{2 - 2i}{2} \\ x = 1 + i \: \: or \: \: 1 - i \\ x = 1±i\)

The profit function for the company is Profit = (19x - 7x) - 105,000. When the company produces and sells 7500 book covers, the profit earned is $99,000. When the company produces and sells 8750 book covers, the profit earned is $152,500.

A. Profit = (19x - 7x) - 105,000

B. Profit = (19(7500) - 7(7500)) - 105,000 = $99,000

C. Profit = (19(8750) - 7(8750)) - 105,000 = $152,500

D. Profit = (19(11835) - 7(11835)) - 105,000 = $229,495

A. The profit for the company for a single book cover is the difference between the selling price and the production cost. The selling price is $19 and the production cost is $7. The difference is $12. The company's fixed cost is $105,000, so the profit function is Profit = (19x - 7x) - 105,000.

B. To find the profit earned by the company when it produces and sells 7500 book covers, substitute 7500 for x in the profit function. Profit = (19(7500) - 7(7500)) - 105,000 = $99,000.

C. To find the profit earned by the company when it produces and sells 8750 book covers, substitute 8750 for x in the profit function. Profit = (19(8750) - 7(8750)) - 105,000 = $152,500.

D. To find the profit earned by the company when it produces and sells 11,835 book covers, substitute 11,835 for x in the profit function. Profit = (19(11835) - 7(11835)) - 105,000 = $229,495.

The profit function for the company is Profit = (19x - 7x) - 105,000. When the company produces and sells 7500 book covers, the profit earned is $99,000. When the company produces and sells 8750 book covers, the profit earned is $152,500. When the company produces and sells 11,835 book covers, the profit earned is $229,495.

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A square is any 2-dimensional shape that has all 4 sides equal and opposite sides parallel.

A square is typically identified when we see any shape which has 4 sides. These sides are equal to one another. The opposite sides are parallel. Another very important feature to be noted is that a square makes an angle of 90° with its adjacent sides.

If the angles are not 90°, then the shape is a rhombus and not a square.

A perfect example of a square is the game board of ludo. That is a perfect square. Another example is a handkerchief.

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Answer:

There are no solutions

Step-by-step explanation:

Explanation

We are given the following:

We are required to determine the value of c for which the quadrilateral PQRS is a parallelogram.

We know that one of the properties of a parallelogram is that the two diagonals bisect each other.

Thus, we have:

Hence, the answer is:

The dimensions that require the minimum amount of material are an 8-inch square bottom and a height of 4 inches using calculus.

To find the dimensions that require the minimum amount of material for an open-top box with a square bottom and rectangular sides and a volume of 256 cubic inches, we will use calculus.

1. Let x be the side length of the square bottom and y be the height of the box.
2. The volume, V = \(x^2 * y\). Since we are given that the volume is 256 cubic inches, we have x^2 * y = 256.
3. Solve for y: y = 256 / \(x^2\).

Now, let's find the surface area, which represents the material required.

4. The surface area, S = x^2 (square bottom) + 4 * x * y (four rectangular sides).
5. Substitute the expression for y we found earlier: S = \(x^2\) + 4 * x * (256 / \(x^2\)).
6. Simplify the surface area function: S = x^2 + (1024 / x).

Next, we'll minimize the surface area using calculus.

7. Differentiate the surface area function with respect to x: dS/dx = 2x - 1024 / \(x^2\).
8. Set the derivative equal to zero and solve for x: 2x - 1024 / \(x^2\) = 0.
9. Multiply both sides by x^2 to eliminate the fraction: 2\(x^3\) - 1024 = 0.
10. Solve for x: x^3 = 512, x = 8 inches.

Now, find the height (y) using the expression we found earlier:

11. y = 256 / \(x^2\) = 256 / \(8^2\) = 4 inches.

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Step-by-step explanation:

Answer:

The initial number of bacteria is 250 and the colony is increasing in size.

Step-by-step explanation:

The terms that complete the three blanks are:

Transformation involves changing the position and the size of a shape, line or point

When a shape is shifted vertically, and then reflected across the x-axis;

The rule of transformation is: -f(x) + k

When a shape is reflected across the x-axis, and then shifted vertically;

The rule of transformation is: -f(x) + k

Notice that the rule of both transformations are the same.

Hence, reversing the order does not change the final result

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The height of the flagpole using trigonometric ratios is: 17.7 m

From the description of the question, let P represent the longest hypotenuse and using trigonometric ratios, we have:

20/sin 25 = P/sin 127

Cross multiply and simplify to get:

P = 37.8 m

Similarly, the smaller hypotenuse would be denoted as Q and found as:

20/sin 25 = Q/sin 28

Q = 22.2 m

If the height of the flagpole is x, then we say that:

x/22.2 = sin 53

x = 22.2 * 0.7986

x = 17.7 m

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Answer:

This relation is NOT a function.

Step-by-step explanation:

Just check the x's. If you have a repeat (the first x is -7, but so is the x on the third point)

If the x's repeat it has to be exactly the same point (same y both times)

If the x's repeat and have different y's, then the relation is NOT a function.

Answer:

Step-by-step explanation:

The two square roots of 12.25 are:

(1) 3.5: 3.5 x 3.5 = 12.25

(2) -3.5: -3.5 x -3.5 = 12.25

Both of these numbers squared give a result of 12.25. However, -3.5 is the negative of 3.5, so it's important to specify which root is meant, depending on the context of the problem.

Answer:

I think x = 2

Step-by-step explanation:

If we input 2 into x, it would look like this: 2(2) + 1 = 5

Then we multiply, which would get us: 4 + 1 = 5

So, the answer is most likely 2

To determine the probability that both the chips are green:

Therefore the probability that both the chips are green =4/225

Hence the correct answer is Option A

Answer:

The third answer is correct.

Step-by-step explanation:

You are going to translate the smaller quadrilateral (4 sided figure) to the larger quadrilateral.  Then you need the scale factor from the smaller figure to the larger.  

Side EF times the scale factor will give you side AB.  Let's call the scale factor s then our equation would be:

EF x s = AB  To find s divide both sides by EF

\(\frac{EF(s)}{EF}\) = \(\frac{AB}{EF}\)

s = \(\frac{AB}{EF}\)  This is our scale factor.

Helping in the name of Jesus.

Answer:

Your financial situation.

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

The correct equation that is balanced using the given numbers once is;

5(-1 + (-3)) = (7 * -4) + 8

There are different properties of Algebra such as;

Commutative Property of Addition or multiplication

Associative Property of Addition or multiplication

Distributive Property

Now, from the given numbers, it will be best to use only a positive digit outside the bracket on the left hand side to make it easy to balance on the right hand side. Thus, for the left hand side we will try;

5(-1 + (-3))

When that is solved we will get -20

Now, to balance that on the right hand side , we will have;

(7 * -4) + 8

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Answer:

4:3

Step-by-step explanation:

if we take 44:33 and simplify by dividing by 11 we get 4:3

\(44:33 \\ ⇒ \frac{44}{33} \\ ⇒ \frac{4}{3} \\ = 4:3\)

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The forecast for May using a five-month moving average is 39 (Option E).

Moving average is used for smoothing out time series data to find any trends or cycles within the data. A five-month moving average is the average of the past five months. To calculate the moving average, add up the sales for the previous five months and divide it by five.

According to the question, the sales for the previous five months are: Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47

We have to add the sales of these five months, which gives:

27 + 40 + 42 + 41 + 47 = 197

To find the moving average for May, we divide this sum by 5:

197 / 5 = 39.4

Since we have to round the answer to the nearest whole number, we round 39.4 to 39, which is option E.

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Answer:

1.0080 x 10^4

Step-by-step explanation:

in scientific notation the number has to be less then 10

10080 / 10000 = 1.0080

1.0080 x 10^4

If you look at the problems, it requires combining like-term numbers and distributing (variables, coefficients, etc). So to combine like-term numbers, you should look for the same variables and/or coefficients. But, if there are parentheses '()' in the equations, you must distribute (multiply) them first and then combine like-terms.

For example, in problem #2 you see -2(3x + 15) \(\leq\) 42

So first, distribute.

-6x -30 \(\leq\) 42

Now solve. Make sure you don't let the inequality sign confuse or trick you. It is just like when solving a two-step equation. So if I were you, I would pretend the inequality sign is an equal sign '='

Inverse operation: Turn -30 into +30 and add to 42.

-6x -30 \(\leq\) 42

     +30 \(\leq\) +30

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

        -6x \(\leq\) 72

Inverse operation: Turn -6x into /-6 (division)

-6x/-6x \(\leq\) 72

Now, here is the tricky part. When dividing or multiplying a negative coefficient (for example -6x is a negative coefficient) you MUST flip the inequality sign.

x \(\geq\) -12

That's how you solve this and I hope this helps you :D