What is the product of 5 - 2i and 3 - 4i?
Answer in standard form

Equation

Let the number = x

2*(x + 9) = x - 8    

Solve

2(x + 9) = x - 8                    Remove the brackets on the left

2x + 18 = x - 8                    Subtract x from both sides

2x - x + 18 = - 8                  2x and - x will combine

x + 18 = - 8                          Subtract 18 from both sides

x = -8 - 18

x = - 26

Check

LHS

2(-26 + 9)

2(-17)

-34

RHS

x - 8

-26 - 8

- 34 and the RHS = LHS and they check

Your number would be -26

Sorry if this is wrong but I'm pretty sure its right

7.25 u need to add 2.25+5=7.25

Solution-

The table shows the number of touchdowns Luis scored during his football games.

Touchdowns scored (X) 0 1 2 3

Number of games (f)             6 10 7 5

Total games played = 6+10+7+5=28

1.

[tex]Probability\ of\ an\ event=\frac{Number\ of\ Favorable\ Outcomes}{Total\ Number\ of\ Possible\ Outcomes}[/tex]

[tex]P(X=0)=\frac{6}{28} \\ P(X=1)=\frac{10}{28} \\ P(X=2)=\frac{7}{28} \\ P(X=3)=\frac{5}{28}[/tex]

Probability Distribution Table,

Touchdowns scored (X) 0      1           2      3

Probability P(X)                      6/28    10/28  7/28    5/28

2.

The probability of Luis scoring 2 touchdowns(i.e when X=2),

P(scoring 2 touchdowns) = P(X=2)

[tex]=\frac{7}{28}=0.25[/tex]

3.

The probability of Luis scoring more than 1 touchdown(i.e when X>1)

P(scoring more than 1 touchdowns) = P(X>1) = P(X=2) + P(X=3)

[tex]=\frac{7}{28}+\frac{5}{28}=0.42[/tex]

4.

Estimated number of touchdowns is calculated by multiplying the number of touchdowns by their respective probabilities and adding the result.  

Estimated number of touchdowns is,

[tex]=0\times \frac{6}{28}+1\times \frac{10}{28}+2\times \frac{7}{28}+3\times \frac{5}{28}[/tex]

[tex]=0+\frac{10}{28}+\frac{14}{28}+\frac{15}{28}[/tex]

[tex]=\frac{39}{28}=1.39[/tex]

its d to check answer use symbolab its a great sight

add 3.7 and 4.45 make sure to change it back to standard you'll get 815000000000000000000. move decimal between first and second digit which means you moved it to the left 18 times and your answer will be 8.15 x 10 ^18 I hope its right :( please don't judge if wrong :((( lol

Answer:  8.15 x 10²⁰

Step-by-step explanation:

In order to add or subtract, they must both have the same power - think of the power as "like terms".  In this problem they already have the same power (10²⁰) so we don't need to manipulate them to have the same power.  We can just add their coefficients (3.7 and 4.45).

  3.7   x 10²⁰

+  4.45 x 10²⁰

   8.15 x 10²⁰

Answer:

It is midpoint, vertex, and medians in that order.

Hope this helps!

I know these are correct because I got them correct!

Answer:

midpoint, vertex, and medians

Step-by-step explanation:

To prove that the medians of an isosceles triangle meet at a point, show that the

✔ midpoint

 of a side lies on the line containing the opposite

✔ vertex

and the point where the other two

✔ medians

intersect.

Edginuity

Answer:

Point B

Step-by-step explanation:

(X,Y)

(-3,2) If you first look on the x line, all the way to the negative section. You'll find -3, starting there you will go up to 2. Following the y line.

Answer:

B

Step-by-step explanation:

This is a right triangle (you can confirm by using Pythagorean Theorem: 15² + 36² = 39²)

A = [tex]\frac{1}{2} b * h[/tex]

A = [tex]\frac{1}{2} 15 * 36[/tex]

   = 15 * 18

   = 270

Answer: 270 cm²

It will probably be 390 / 70

25 * 5 + 15 * 3 - 40 * 2 =

125 + 45 - 80 =

170 - 80 =

90

1 cubic meter = 100 cm * 100 cm * 100 cm = 1 x 10^6 cc

1 kilogram = 1,000 grams

13.6 g / cc

If we had a cubic meter of mercury, its mass would be (or it would "weigh") 13.6 * 1,000,000 = 13,600,000 grams or 13,600 kilograms.

And so its density would be 13,600 kg / cubic meter.

13600 kg/m³. To convert 13.6 g/cm³ to kg/m³, multiply by the conversion factor 1000 kg/m³.

To convert from grams per cubic centimeter (g/cm³) to kilograms per cubic meter (kg/m³), we need to use conversion factors.

1 g/cm³ = 1000 kg/m³.

So, to convert 13.6 g/cm³ to kg/m³, we multiply by the conversion factor:

13.6 g/cm³ x 1000 kg/m³ = 13600 kg/m³

Multiply the first and last term.  Now find two numbers that when you multiply gives you that product and when you add them gives you the middle term.  Replace the middle term with those two numbers and factor using the grouping method.

10w² - 37w + 15

                          10 x 15 = 150 (1 x150, 2 x 75, 3 x 50, 5 x 30, 6 x 25, 10 x 15)

None of those pairs have a sum of -37 so this polynomial is prime.

************************************************************************************

4z² + 4z - 3

                   4 x -3 = -12 ( -1 x 12, -2 x 6, -3 x 4)  ⇒ -2 + 6 = 4

= 4z² - 2z   + 6z - 3

= 2z(2z - 1)   +3(2z - 1)

= (2z + 3)(2z - 1)

************************************************************************************

18v² - 15v - 18

= 3(6v² - 5v - 6)

                            6 x -6 = -36 (1 x -36, 2 x -18, 3 x -12, 4 x -9, 6 x -6) ⇒ 4 x -9 = -5

= 3(6v² + 4v    -9v - 6)

= 3[2v(3v + 2)  -3(3v + 2)]

= 3(2v - 3)(3v + 2)

In economic theory, the price of a product is considered the independent variable, and the quantity of the product demanded by consumers is considered the dependent variable. As price (independent variable) increases, the quantity demanded (dependent variable) decreases.

In the context of economics and specifically, the law of demand, the price of a commodity is the independent variable and the quantity demanded is the dependent variable. This means that the amount of a product that consumers are willing to buy (dependent variable) can change based on the price of the product (independent variable). If a price changes, if all other factors remain constant, the quantity demanded will react accordingly. For example, if the price of an item increases, the quantity demanded decreases because consumers are less willing to buy the item due to its high price. Conversely, if the price decreases, the quantity demanded increases because the product becomes more affordable to consumers.

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200-90= the answer then find d which is easy

Answer:   a. The store will make 34 full bags of mulch.

                b.  Considering only the full bags, the total sales price is $76.50

Step-by-step explanation:

The total amount of mulch is [tex]77\frac{1}{2}[/tex] pounds or [tex]\frac{155}{2}[/tex] pounds.

Each bag can hold [tex]2\frac{1}{4}[/tex] pounds or [tex]\frac{9}{4}[/tex] pounds of mulch.

a.  Suppose, the store will make [tex]x[/tex] number of bags of mulch.

So, the equation will be.........

[tex]x*\frac{9}{4}=\frac{155}{2}\\ \\x=\frac{155}{2}*\frac{4}{9}=\frac{310}{9}=34.44... \approx 34[/tex]

So, the store will make 34 full bags of mulch.

b.   The store sells one bag of mulch for $2.25

So, the total sales price of 34 full bags of mulch will be:  [tex](\$2.25*34)=\$76.50[/tex]

-12x - 0.4 > 0.2(36.5x + 80) - 55    Remove the brackets.

-12x - 0.4 > 7.3x + 16 - 55               Combine the like terms on the right

-12x - 0.4 > 7.3x - 39                      Add 12x to both sides

- 0.4 > 7.3x + 12x - 39    

- 0.4 > 19.3x - 39                            Add 39 to both sides.

-0.4 + 39 > 19.3x                              Combine like terms on the left

38.6 > 19.3x                                    Divide by 19.3

38.6 / 19.3 > x

2 > x

Company A = 111

Company B = 75 + 0.90m ( 75 plus 0.90 per mile)

Set the 2 to equal and solve for m ( miles)

111 = 75 + 0.90m

Subtract 75 from each side:

36 = 0.90m

Divide both sides by 0.90:

m = 36 / 0.90

m = 40

At 40 miles both Company A and Company B would cost the same.

So for Company A to cost less than Company B, you would have to drive more than 40 miles.

m>40

Hi, here is the solution.

The doubling each dimensions increases the volume by 8. That is (2 * 2* 2)

There 1000 toothpicks in a regular box.

The jumbo box hold  8 *1000 = 8000 toothpicks.

Thank you.

Step-by-step explanation:

1.) The equation for the line of least squares regression is given by

[tex]Y=mX+c[/tex]

where Y = Output Variable = Average Cost (in thousands of dollars)

           X = Input Variable = Number of years after 2000

Thus, the given data table transforms as follows:

No. of years after            3             4          5           6          7           8             9          10

after 2000 (X)

Average Cost (Y)         15.505   16.510  17.451   18.471   19.363  20.409  21.093 22.092

To determine the equation precisely, we need to calculate the values of 'm' (Slope) and 'c' (Y-intercept)

Let us take any two random values of X and Y from the above table, so that we have

X₁ = 3; Y₁ = 15.505       and      X₂ = 8; Y₂ = 20.409

Plugging in these two sets of values, we get the following two equations:

15.505 = (3)m + c     and

20.409 = (8)m + c

Let us subtract the upper one from the lower one so that we have

20.409 - 15.505 = 8m + c - 3m - c

4.904 = 5m

Hence, m = 0.9808

Using this value and plugging it in one of the above equations yields the value of c as

20.409 = 8(0.9808) + c

Therefore, c = 12.563

So, the required equation for the line of least squares regression is

Y = (0.9808)X + 12.563

2.) To estimate the cost of tuition at a 4-year institution in 2000, we can put the value of X to be 0.

We have Y = 0 + 12.563

Thus, the cost of tuition in 2000 was $12,563.

3.) To estimate the cost of tuition in 2020, we put the value of X as 20 so that we have

Y = (0.9808)(20) + 12.563 = 32.179

Therefore, we can expect the cost of tuition to be as high as $32,179 by 2020.

4.) The slope tells us the factor by which the tuition increases each year, starting with the base of 12,563 dollars in 2000.

One way to lower the cost of college tuition is by applying for a waiver based on income level. Alternatively, one can also work at the school.

One can join a part-time graduation program while working for the rest of the day so that one may support oneself as well as pay for their courses. Alternatively, one can opt for Online Courses and get some Diploma in their area of interest while working part-times so that they may pursue a degree later on in their life.

The least squares regression equation is Average cost = 14.5 + 1.24 * School year. The best estimate for the average cost of tuition at a 4-year institution starting in 2020 is 33.3 thousand dollars. The slope of the regression line means that the average cost of tuition increases by 1.24 thousand dollars for every year after 2000.

1. To find the least squares regression equation, we can use the following steps:

Calculate the mean of the independent variable (school year) and the dependent variable (average cost).

Calculate the deviations from the mean for both variables.

Calculate the product of the deviations from the mean for both variables.

Calculate the variance of the independent variable.

Calculate the slope of the regression line:

slope = sum of the product of the deviations from the mean / variance of the independent variable

Calculate the y-intercept of the regression line:

y-intercept = mean of the dependent variable - slope * mean of the independent variable

Calculations:

Mean of school year: 5.5

Mean of average cost: 19.0

Deviations from the mean for school year: -1.5, -0.5, 0.5, 1.5, 2.5

Deviations from the mean for average cost: -3.5, -2.5, -1.5, -0.5, 1.5

Product of the deviations from the mean: 5.25, 1.25, -0.75, 0.75, 3.75

Variance of the independent variable: 4.25

Slope of the regression line: 5.25 / 4.25 = 1.24

Y-intercept of the regression line: 19.0 - 1.24 * 5.5 = 14.5

Least squares regression equation:

Average cost = 14.5 + 1.24 * School year

the smallest integer x can be is 11 because it has to be greater than 10

The smallest integer x, for which x, x+5, and 2x−15 can be the lengths of the sides of a triangle is 11

Using the triangular theorem which states that the sum of any two sides of a triangle must be less than the third side.

Given the side length of the triangle to be a, b and c

a = x

b = x+5

c = 2x - 15

According to the theorem;

b < a+c  

x+5 < x + 2x - 15

x + 5 < 3x - 15

Collect the like terms

x - 3x < -15 - 5

-2x < -20

x > -20/-2

x > 10

Since x is greater than 10, let x be 11

Hence the smallest integer x, for which x, x+5, and 2x−15 can be the lengths of the sides of a triangle is 11

Learn more here: https://brainly.com/question/23961310

-x-3y=-26

6x+3y=21

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

3y cancels out.

-x=-26

6x=21

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

5x=-5

x=-1

The standard form of a line:

[tex]Ax+By=C[/tex]

We have the equation of a line in the slope-point form:

[tex]y-3=\dfrac{1}{2}(x+6)[/tex]      use distributive property

[tex]y-3=\dfrac{1}{2}x+3[/tex]       add 3 to both sides

[tex]y=\dfrac{1}{2}x+6[/tex]        multiply both sides by 2

[tex]2y=x+12[/tex]       subtract x from both sides

[tex]-x+2y=12[/tex]      change the signs

[tex]x-2y=-12[/tex]

[tex]3x\geq3\qquad|\text{divide both sides by 3}\\\\x\geq1\\---------------------------------\\\\9x < 54\qquad|\text{divide both sides by 9}\\\\x < 6\\\\Answer:\ 1\leq x < 6\to\ graph\ c)[/tex]

The answer is C. Because A. has the wrong length for its numbers, B. has to much space in between it for negative numbers, and D. is just so wrong I can not even explain it! Hope that this was helpful have an awesome day!

1. 2x³ - 11x² + 13x - 21   ÷   x - 3

x - 3 = 0   ⇒ x = 3

3   |   2   -11   13   -21

    |   ↓    6   -15    -6

        2   -5    -2    -27

1. Answer: 2x² - 5x - 2 - [tex]\frac{27}{x - 3}[/tex]

*************************************************************

2. 3x³ + 7x² - 13x + 10   ÷   x + 2

x + 2 = 0   ⇒   x = -2

-2  |   3    7   -13    10

    |   ↓   -6    -2    30

        3    1    -15    40

2. Answer: 3x² + x - 15 + [tex]\frac{40}{x + 2}[/tex]

3. 2x³ + 13x² - 21x + 9   ÷   x - 1

x - 1 = 0   ⇒   x = 1

1  |   2    13   -21     9

    |   ↓     2    15    -6

        2    15    -6    3

3. Answer: 2x² + 15x - 6 + [tex]\frac{3}{x - 1}[/tex]

4. 7x³ + 0x² - 8x + 16   ÷   x - 2

x - 2 = 0   ⇒   x = 2

2  |   7    0     -8     16

    |   ↓    14    28    40

        7    14    20    56

4. Answer: 7x² + 14x + 20 + [tex]\frac{56}{x - 2}[/tex]

5. 8x⁴ - 14x³ - 71x² - 10x + 24   ÷   x - 4

x - 4 = 0   ⇒   x = 4

4  |   8   -14   -71    -10    24

    |   ↓    32    72     4   -24

        8    18       1     -6     0

5. Answer: 8x³ + 18x² + x - 6

You're basically looking for the square root of 49. In fact, if a number [tex] x [/tex] gives [tex] y [/tex] when multiplied by itself two times, then you have [tex] x^2 = y [/tex], which also means that [tex] x [/tex] is the square root of [tex] y [/tex], i.e. [tex] x = \sqrt{y} [/tex]

In your case, the answer is 7, because you have

[tex] \sqrt{49}=7 \iff 7^2 = 49 [/tex]

which is indeed true

Answer:

Step-by-step explanation:

You want the square root of 49, which is 7

Answer:

Step-by-step explanation:

It is f(x) = −|x + 4| + 3 because the +4 in the absolute value sign moves the graph 4 spots to the left and the +3 moves the graph 3 spots up.

Answer:

f(x) = −|x + 4| + 3

Step-by-step explanation:

since, the value of the function at x=0 is -1

so, we will check which functions gives the same value

f(x) = −|x − 3| + 4  at x=0 it gives 1

f(x) = −|x + 3| + 4  at x=0 it also gives 1

f(x) = −|x − 4| + 3   at x=0 it gives -1

f(x) = −|x + 4| + 3   at x=0 it also gives -1

so, we have discarded first two options

Now at x=4 function gives negative value

f(x) = −|x − 4| + 3   at x=4 it gives 3

f(x) = −|x + 4| + 3 whereas at x=4 it gives -5

Hence, the function  represented by the graph is:

f(x) = −|x + 4| + 3