Multiply and simplify: (2 + 6i)(8 – 9i)

The value of x in the equation is -4.92

The equation is given as:

12x + 59 = 0

Add -59 to both sides of the equation

12x = -59

Divide by 12

x = -59/12

Evaluate

x = -4.92

Hence, the value of x in the equation is -4.92

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\(x^2-12x+59=0\\x^2-12x+36+23=0\\(x-6)^2=-23\\x\in\emptyset\)

Answer:

20+5

Step-by-step explanation:

Becvause 5 to the second power is 25 and 25 in expanded form is 20+5

HOPE THIS HELPS

Answer:

20

Step-by-step explanation:

(25-5)/(1-0)

20/1

20

Answer:

20

Step-by-step explanation:

use y2-y1/x2-x1 by finding 2 points on the graph

(0,5) and (2,45)

45-5/2-0

40/2

20

Hopes this helps please mark brainliest

It is true, we have to find the surface area of the triangular prism we have to find  a piece of information that is missing.

In the given question we have to find the surface area of the triangular prism.

We have to follow the some step to find the surface area of the triangular prism.

Step 1: Calculate the values of b(1), b(2), and b(3), the triangle base's three sides. Additionally, calculate the values of h, the triangle base's height, and l, the prism's length (the length between the bases).

Step 2: Use the formula for calculating the area of a triangle (A=1/2bh), where b is one of b(1), b(2), or b(3), to determine the area of a triangular base (whichever one is perpendicular to h). Given that this region contains two triangle bases, multiply the result by two.

Step 3: Multiply the perimeter of a base triangle by the prism's length to find the area of its rectangular sides: A=(b(1)+b(2)+b(3))l.

Step 4: Combine the outcomes from steps 3 and 4. This is the surface area of the triangular prism.

Since the question is not clear so I have write the step to find the area of  triangular prism. Using this method we can find the area of  triangular prism.

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Answer:

=\(\frac{256}{81}\)

(Decimal: 3.160494)

Step-by-step explanation:

\((\frac{3}{4} )^-4\)

\((\frac{4}{3} )^4\)

\(\frac{4^4}{3^4}\)

=\(\frac{256}{81}\)

(Decimal: 3.160494)

:)

I hope this helps

Answer:

The difference of 15 and a number is 5 indeed 10 to be 15

Answer:

10

Step-by-step explanation:

Part a: total number of boxes carried by the forklift = 60.

Part b: Total weight carried by forklift is "less than" 3000 pounds.

Both mathematical phrases, equations and inequalities, are created by connecting two expressions. The equal sign (=) indicates that two expressions in an equation are believed to be equivalent. The symbols  >, <, ≤ or ≥. or indicate that the two expressions in an inequality are not always equal.

Given data:

in equality formed are:

x + y ≤ 60 number .....eq1

45x + 70y ≤ 3000 pounds ...eq 2

Part a: total number of boxes carried by the forklift = 60.

Part b: Total weight carried by forklift is "less than" 3000 pounds.

Part c: inequality for number of boxes carried by the forklift.

From eq 1, x + y ≤ 60

Part d:  inequality for amount of weight carried by the forklift.

From eq 2;  x + y ≤ 60

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Answer:

10.5

Step-by-step explanation:

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The function computed shows that the distributor that will be beat for them is company 1.

From the information, it can be noted that the company is trying to decide which distributor would be best for them when they buy about 80 shirts for their weekly order.

The cost from company 1 is that shirts are $11 a piece for the first 100. Therefore, the cost for 80 shirts will be:

= 80 × $11

= $880

The cost from the other company will be:

= ($12 × 50) + ($9.50 × 30)

= $600 + $285

= $885

Therefore, the function computed shows that the distributor that will be beat for them is company 1 as it is cheaper.

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The graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

The functions for this problem are defined as follows:

When a function is multiplied by 2, we have that it is vertically stretched by a factor of 2.

Hence the graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

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Answer:

I'm going by lines

Answer:

F(v)=0

Step-by-step explanation:

F(v) = [3x*2y, 5xx, 9yy]

Calculate the product

F(v) =\(\frac{d}{dv\\}\) [3x*2y, 5x*x, 9y*y]

The derivative of a constant is always 0

F(v) =\(\frac{d}{dv\\}\)((6xy,5\(x^{2}\),9\(y^{2}\)))

f(v)=0

Answer:

Yes

Step-by-step explanation:

To know if a table is a function or not, we have to see if 1 input only has 1 output.

Looking at the table each input only has 1 output, so it is a function.

Answer: The last one is the right one

Step-by-step explanation:

So first solve for n

1/2n+3<5

1/2n<2, multiple by 2 on both sides to remove fraction

n<4

the circle will be at 4, and since n<4, n is less than 4, so your line must also be less that 4.

Answer:

Step-by-step explanation:

We can use the compound interest formula to find how much money he will have after 4 years:

\(A = P(1 + \frac{r}{n})^{nt}\) ;

where

A= final amount

P= initial amount

r= interest rate

n= number of times interest applied per time period

t= number of time periods elapsed,

so from the given information, we know that 1500 is our initial amount, so P= 1500.

Annual interest means once a year, so n= 1, and the interest rate is 4%, so r= 4% or 0.04

and we are asked to find the amount in his account after 4 years, so t= 4

Now, all we need to do is plug in these values for each of the variables and solve.

\(A= 1500(1+\frac{0.04}{1} )^{(1)(4)}\)

and we get

A= $1,754.79

A multiplication equation to show an equivalent fraction of 15 using fifteenths would gives 10/75

A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.

We have to write an equivalent fraction of 15 using fifteenths.

2/15

So let multiply by 5 .

2 / 15 x  5/ 5 = 10/75

Thus, 10/75 is equivalent expression.

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the mechanic puts 5/24 of a gallon of oil into each of the 4 smaller bottles.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Given, A mechanic buys 1 gallon of oil. She uses 1/6 of the oil and then divides the rest into 4 smaller bottles.

The mechanic uses 1/6 of the gallon of oil, which means she has 5/6 of a gallon left.

She divides the 5/6 gallon of oil into 4 equal parts, so each bottle will receive:

(5/6) ÷ 4 = (5/6) × (1/4) = 5/24 gallon

Therefore, the mechanic puts 5/24 of a gallon of oil into each of the 4 smaller bottles.

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Answ

Step-by-step explanation:wirugf4

Answer:

x = -7

Step-by-step explanation:

All vertical lines have the form x = a number

All horizontal lines have the form y = a number . We can see in the points given the both the x's are -7 (You can also graph them and see the vertical line) So you have a vertical line in the form x = -7

Using the z-distribution, it is found that since the absolute value of the test statistic is less than the absolute value of the critical value for the two-tailed test, there is no reason to believe that the true percentage of those in the first group who suffer a second episode is different from the true percentage of those in the second group who suffer a second episode.

At the null hypothesis, it is tested if the proportions are not different, that is, their subtraction is 0, hence:

\(H_0: p_1 - p_2 = 0\)

At the alternative hypothesis, it is tested if they are different, that is, their subtraction is not 0, hence:

\(H_1: p_1 - p_2 \neq 0\)

For each sample, the proportion and the standard error are:

\(p_1 = 0.13, s_1 = \sqrt{\frac{0.13(0.87)}{163}} = 0.0263\)

\(p_2 = 0.14, s_2 = \sqrt{\frac{0.14(0.86)}{160}} = 0.0274\)

The mean and the standard error of the distribution of the difference is given by:

\(\overline{p} = p_2 - p_1 = 0.14 - 0.13 = 0.01\)

\(s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0263^2 + 0.0274^2} = 0.038\)

The test statistic is:

\(z = \frac{\overline{p} - p}{s}\)

In which \(p = 0\) is the value tested at the null hypothesis.

Hence:

\(z = \frac{0.01}{0.038}\)

\(z = 0.26\)

The critical value for a two-tailed test, as we are testing if the mean is different of a value, with a significance level of 0.1 is \(z^{\ast} = \pm 1.645\)

Since the absolute value of the test statistic is less than the absolute value of the critical value for the two-tailed test, there is no reason to believe that the true percentage of those in the first group who suffer a second episode is different from the true percentage of those in the second group who suffer a second episode.

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The volume of the composite figure is equal to 3425.333 cubic feet.

In this problem we need to determine the volume of a composite figure, that is, the sum of the volumes of a right prism and a pyramid, whose formulae are described below:

Right prism

V = 0.5 · w · l · h

Pyramid

V = (1 / 3) · (0.5 · w · l) · h

Where:

Now we proceed to determine the volume of the composite figure:

V = 0.5 · (8 ft) · (7 ft) · (12 ft) + (1 / 3) · 0.5 · (8 ft) · (7 ft) · (7 ft)

V = 3425.333 ft³

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a) She can make 400 milliliters of the fizzy drink.

b) The change does not affect the greatest amount of drink.

We know that the fizzy drink is 7 parts apple juice and 3 parts lemonade. And Kerry thinks that she has 280ml of apple juice and 180 ml lemonade.

If we divide the total amount of apple juice in 7 parts, then each part has:

280ml/7 = 40ml

Then we need 3 parts of 40ml of the lemonade, this is:

3*40ml = 120ml

Then the total amounf of drink fizz that she can make is:

280ml + 120ml = 400ml.

b) Now she has  160 ml of lemonade, but she needs 120 ml of it, so this change does not affect the greatest amount of fizzy drink she can make.

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Answer:

8/4 x 9/12= 1.5

8 x 9= 72

6 + 5= 11

1000 x 64= 64000

Step-by-step explanation:

The maximum revenue possible in this situation is 15625/A dollars, where A is the coefficient in the quadratic equation.

To find the maximum revenue possible in this situation, we can use the concept of vertex or the vertex form of a quadratic equation.

The revenue equation is given by R = -Ax^2 + 250x, where A is a constant coefficient.

The maximum revenue occurs at the vertex of the parabolic curve represented by the equation. The x-coordinate of the vertex can be found using the formula x = -b / (2a), where a and b are the coefficients of the quadratic equation.

In this case, a = -A and b = 250. Plugging in these values, we get:

x = -250 / (2 * (-A))

= 125 / A

To find the maximum revenue, we substitute this value of x into the revenue equation:

R = -A * (125 / A)^2 + 250 * (125 / A)

= -A * (15625 / A^2) + (31250 / A)

= -15625 / A + 31250 / A

= 15625 / A

The maximum revenue is given by 15625 / A. The value of A is not specified in the question, so we cannot determine the exact maximum revenue without knowing the value of A. However, we can say that the maximum revenue increases as A decreases.

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Answer:

Ximena can use 1 gigabytes of data

Step-by-step explanation:

The first thing you want to do is subtract

51.10 - 44.50 =  5.6

5.6 is the amount of money she will have to spend on data

With each gigabyte costing 4 dollars and only 5 dollars to spend

she can only use one gigabyte

Answer:

Step-by-step

4 oz = 1/4 pound.

1 casserole requires 1/4 pound

28 casseroles require x

1/28 = 1/4 // x        For ease change 1/4 to a decimal

1/28 = 0.25 / x      Cross multiply

1*x = 28 * 0.25

x = 7

We need 7 pounds of cheese to make 28 dishes.

The box plots provide visual representations of the distribution of salaries at two companies, Company A and Company B. To compare the ranges and medians of the data sets, we examine the characteristics of each box plot.

The range of a data set represents the difference between the maximum and minimum values. Looking at the box plots, we can determine that the range of Company A's salaries is larger than the range of Company B's salaries.

This can be inferred by observing the lengths of the whiskers, where the whiskers in Company A's box plot extend further in both the upper and lower directions compared to Company B's box plot.

The median of a data set represents the middle value when the data is arranged in ascending or descending order. Comparing the medians of the two box plots, we can determine that the median of Company A's salaries is higher than the median of Company B's salaries.

This is evident by comparing the positions of the medians within the boxes. In Company A's box plot, the median is closer to the upper quartile, indicating a higher median salary, while in Company B's box plot, the median is closer to the lower quartile, suggesting a lower median salary.

In summary, the range of salaries at Company A is larger than that of Company B, indicating a wider spread of salary values. Additionally, the median salary at Company A is higher than the median salary at Company B, suggesting a higher central tendency or midpoint in the distribution of salaries.

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Answer:

Figure A

Area is 55 cm^2

Perimeter is 31 cm

Figure B

Volume is 48 cm^3

Step-by-step explanation:

Figure A)

Area=length × width

A=10 × 5.5 = 55 cm^2

Perimeter= Length +length+Width +width

= 10 + 10 + 5.5 + 5.5 = 31 cm

Figure B)

Volume = Length × Width × Height

= 12 × 2 × 2 = 48 cm^3

Answer:

The perimeter of figure A is 31 cm.

The area of figure A is 55 cm2.

The volume of figure B is 48 cm3.

-Hope that helps