Simplify the given expression. 2(-36-3i)+(5+2i)(12-2i)

Answer:

196 women

Step-by-step explanation:

You can do cross multiplication

5/7=140/x

5*7=980

980=5*x

980=5x

196=x

The awnser is 5/8

hope that helps

Complete Question

A panel of 12 jurors needs to be selected from a group of 30  people. How many different compositions for the jury are possible?

A. 479,001, 600.

B. 18, 564.

C. 41, 430, 393, 164, 160,000.

D. 86, 493, 225.

Answer:

The correct option is D

Step-by-step explanation:

From the question we are told that

   The number of jurors to be selected is q = 12

   The total number of people available n =  30  

Generally the number of different compositions for the jury that is possible is mathematically represented as

         [tex]N = ^nC_q[/tex]

Here C stands for combination hence we are going to be making use of the combination function in our calculators  

        [tex]N = ^{30}C_{12}[/tex]

=>     [tex]N = 86,493,225[/tex]

Answer:

(-6, 3)

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Where the 2 lines intersect is the solution set for the systems of equations.

Answer:

49,36,85

Step-by-step explanation:

c in step 4 comes from step 3... 49+36

a and b in step 3 come from step 2... in the same (you've got a - b and then 7 squared - 6 squared, so a is 49 and b is 36

Step-by-step explanation:

we can factor out z

so that'll be

z((1/m)-(1/n))=1

divide by the value in parentheses on both sides

z=1/((1/m)-(1/n))

I can't tell if there's more the problem wants you to do. I could rewrite the equation on paper more easily, but I don't have one on hand

Answer: The answer is z=1/((1/m)-(1/n). Abhlnav, I'm sorry about not finding the answer to solve for z, and that’s the reason why you told me to solve for z not m to your algebraic expression to find the answer. Are you very good at mathematics, Abhlnav?

Step-by-step explanation:

Answer:3.22

Step-by-step explanation:

Hope this helps

See attachment for math work and answer.

This question is incomplete, the complete question is;

In a survey, 55% of the voters support a particular referendum. If 40 voters are chosen at random,

find the mean and variance for the number of voters who support the referendum.

Answer:

a) The Mean is 22

b) Variance is 9.9

Step-by-step explanation:

Given that;

55% of the voters support a particular referendum p = 0.55

q = 1 - p = 1 - 0.55 = 0.45

sample size n = 40

a)

Mean = sample size n × p

Mean = 40 × 0.55

Mean = 22

Therefore the Mean is 22

b)

Variance = n × p × q

so we substitute

Variance = 40 × 0.55 × 0.45

Variance = 9.9

Therefore the Variance is 9.9

Answer:

in geometry, a circle is the curve that forms the boundary of a disc. Curves, like lines, have zero width and thus zero area.

For some reason, this very simple thing doesn’t seem to be taught much - I certainly recall my maths teachers referring to the area of a circle instead of the area of a disc!

As you haven’t mentioned the radius of the circle, let us consider a generic circle of radius r, thus we want to find the height of a triangle whose area is πr².

Step-by-step explanation:

If you are adding them together, the answer would be 7^9

If you are solving the problem, the answer would be 40,353,607

Answer:

$319,000

Step-by-step explanation:

nearest hundred place : 300

hope this helps

Answer:

300 kids

Step-by-step explanation:

Answer:

Step-by-step explanation:

x:1 y:1 (1,1)

x:(-8) y:3 (-8,3)

x:(-17) y:5 (-17,5)

increasing or decreasing of x values equal to y coefficient

increasing or decreasing of y values equal to x coefficient

This values goes about infinity according to this formula

The points that lie on the given line are the solution of the line.

The equation y = mx + c is the general equation of any straight line where m is the gradient of the line and c is the y -intercept.

Given is an equation of a line 2x+9y = 11, we need to find its solution,

Since, the line is an infinite object it carries an infinite solution too.

When we plot the graph of this line, all the points lying on it will be the solution of the line.

Let say x = 0,

2(0)+9y = 11

9y = 11

y = 11/9

Therefore, (0, 11/9) is the solution of the equation,

Let say x = 1

2(1) + 9y = 11

y = 1

Therefore, (1, 1) is the solution of the equation,

Please check the graph attached.

Hence, the points that lie on the given line are the solution of the line.

Learn more about equations of the lines, click;

https://brainly.com/question/21511618

#SPJ3

Answer:

{x,y}={1,−3}

Step-by-step explanation:

Answer:

So whats the question then ????

Answer:

63

Step-by-step explanation:

yes when dividing it's a round off number so that means that there's more left over

2,3

1,1.5

maybe, hope this helps

trinomial and i believe its a degree of 4

Answer:

The graph of g(x) has a lesser y intercept

Step-by-step explanation:

Given

f(x) = 100(-x + 4)

Required

Determine the relationship between f(x) and g(x)

First, we need to get the equation of g(x).

From the question, we have that:

Initial Value = 360

Rate = -90 yearly

[It is negative because the rate shows decrement]

Hence, the equation of g(x) is:

g(x) = Initial Value + Rate * x

Where x represents number of years

g(x) = 360 + (-90 * x)

g(x) = 360 - 90x

g(x) = -90x + 360

Recall that

f(x) = 100(-x + 4)

f(x) = -100x + 400

To solve y intercept, we set x = 0.

f(0) = -100 * 0 + 400 = 0 + 400 = 400

g(0) = -90 * 0 + 360 = 0 + 360 = 360

By comparison, the graph of g(x) has a lesser y intercept

To solve x intercept, we set y = 0

For f(x)

0 = -100x + 400

100x = 400

x = 4

For g(x)

0 = -90x + 360

90x = 360

x = 4

By comparison, they have the same x intercepts.

From the list of given options, option A answers the question.

Answer:

A:  Add a positive unit tile to a negative unit tile.

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

Answer:

Step-by-step explanation:

If she is just buying one henna package and one squeeze bottles the total is 12 + 3 which is 15

Answer:

27

Step-by-step explanation:

I got it right

Answer:

y= -5

Step-by-step explanation:

Answer:

y= -5

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

When we look at sequences, we have the function and we have the sequence, the sequence is f(x)... f(n)... or just f with any variable within a parenthesis right next to it.

What the variable signifies is the value that we will be replaced within the sequence, which is 2n in this case. So by your question, it we are looking for the fourth term, that means f(4) = 2n.  Since n is replaced with 4, we do the same with the sequence.

2(4)

Multiply

8

Answer:

both ∠=90

Step-by-step explanation:

180/2=90

Using specific examples, the unit rate can be obtained using equivalent ratio tables and fraction thus :

Table of equivalent ratios :

No of workers : ____ 2 ____ 4 ____ 6 ____ 8

Logs of wood cut: __ 4 ____ 8 ____12 ____16

To obtain the unit rate from the table :

Take the ratio of any pair of values ;

Hence, the unit rate is 2 logs of wood per worker.

Using the fractions :

2 worker = 4 logs of wood

1 worker = x

Cross multiply

2x = 4

x = 4/2

x = 2 logs of wood.

Hence, the unit rate is 2 logs of wood per worker.

Learn more : https://brainly.com/question/25653997

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

  4

Step-by-step explanation:

The ratio is ...

  carrots : cucumbers = 3 : 9 = 1 : 3

The fewest number of vegetables that can be used is 1 carrot and 3 cucumbers, a total of 4 vegetables.

Answer:

4

Step-by-step explanation:

Answer:

y = 12.5

Step-by-step explanation:

Notice these are similar triangles since they have angles of the same measure (congruent angles), then there must be a proportion among their sides such that:

[tex]\frac{y+5}{5} =\frac{14}{4}[/tex]

therefore by cross-multiplying, we get:

4(y + 5) = 14 * 5

4 y + 20  = 70

4 y = 70 - 20

4 y = 50

y = 12.5