(12+9i)+(10+25i)
Simplify?

Answer:

Factorize, then divide the common factors.

Step-by-step explanation:

A rational expression is one that involves the division of two polynomials. The two polynomial having the same variable in each expression.

To simplify a rational expression, the first thing to do is to factorize each expression. This would ensure that there exist a common factor between the numerator and denominator.

Then you can divide by the common factor.

The remaining expressions in the quotient would have been reduced to their simplest form.

Answer:

the answer is 708.75

Step-by-step explanation:

Answer:42.5

Step-by-step explanation:

4250cm = 42,5m

The answer is: 42,5

Answer:

170 in^2

Step-by-step explanation:

you have to find the area of each surface of the square

1) the square on the right side:

5x5=25 in^2

there are 2 of these on opposite sides

2)the of the rectangle facing us;

6x5=30in^2  (5 because 5 is the height)

there are 4 of these

3)add up all the areas

25+25+30+30+30+30=170in^2

Answer:

(a)

[tex]\bar x_1 =41.33[/tex]     [tex]\sigma_1 = 7.48[/tex]

[tex]\bar x_2 =22.3[/tex]       [tex]\sigma_2 = 4.53[/tex]

(b)

[tex]d = 19.03[/tex]

(c)

[tex]CI = 16.33[/tex] to [tex]21.73[/tex]

Step-by-step explanation:

Given

[tex]n_1 = 10\\ n_2 = 12[/tex]

And the accompanying data for private (1) and public (2) colleges

Solving (a): The sample mean and sample standard deviations

Private College

Calculating sample mean

This is calculated as:

[tex]\bar x_i = \frac{\sum x_i}{n_i}[/tex]

[tex]\bar x_1 =\frac{52.8+30.6+43.2 +45.8 +33.3+33.3 +50.5 +44.0 +42.0 +37.8}{10}[/tex]

[tex]\bar x_1 =\frac{413.3}{10}[/tex]

[tex]\bar x_1 =41.33[/tex]

Calculating sample standard deviation

This is calculated as:

[tex]\sigma_i = \sqrt\frac{\sum(x_i - \bar x_i)}{n_i-1}[/tex]

[tex]\sigma_1 = \sqrt\frac{(52.8-41.33)^2+(30.6-41.33)^2+.........+(37.8-41.33)^2}{10-1}[/tex]

[tex]\sigma_1 = \sqrt\frac{503.261}{9}[/tex]

[tex]\sigma_1 = \sqrt{55.9178888889[/tex]

[tex]\sigma_1 = 7.4778264816[/tex]

[tex]\sigma_1 = 7.48[/tex] -- approximated

Public College

Calculating sample mean

[tex]\bar x_2 =\frac{20.3 +22.8 +28.2 +18.5 +15.6 +25.6+ 24.1 +14.4 +28.5 +21.8 +22.0 +25.8}{12}[/tex]

[tex]\bar x_2 =\frac{267.6}{12}[/tex]

[tex]\bar x_2 =22.3[/tex]

Calculating sample standard deviation

[tex]\sigma_2 = \sqrt\frac{(20.3 -22.3)^2+(22.8 -22.3)^2+(28.2 -22.3)^2+(18.5 -22.3)^2+(15.6 -22.3)^2+................+(25.8-22.3)^2}{12-1}[/tex][tex]\sigma_2 = \sqrt\frac{225.96}{11}[/tex]

[tex]\sigma_2 = \sqrt{20.5418181818[/tex]

[tex]\sigma_2 = 4.532308262[/tex]

[tex]\sigma_2 = 4.53[/tex] -- approximated

Solving (b): Point estimate of the difference between the two population means

This is calculated as:

[tex]d = \bar x_1 - \bar x_2[/tex]

[tex]d = 41.33 - 22.3[/tex]

[tex]d = 19.03[/tex]

Solving (c): 95% confidence interval

First, calculate the degrees of freedom:

[tex]df = \frac{(\sigma_1^2/n_1 + \sigma_2^2/n_2)^2}{\frac{(\sigma_1^2/n_1)^2}{n_1 - 1} + \frac{(\sigma_2^2/n_2)^2}{n_2 - 1}}[/tex]

[tex]df = \frac{(7.48^2/10 + 4.53^2/12)^2}{\frac{(7.48^2/10)^2}{10 - 1} + \frac{(4.53^2/12)^2}{12 - 1}}[/tex]

[tex]df = \frac{53.3647}{31.3045/9 + 2.9244/11}[/tex]

[tex]df = \frac{53.3647}{3.7441}[/tex]

[tex]df = 14.2530[/tex]

[tex]df = 14[/tex]

Calculate the critical value (t)

At 95% confidence interval and df = 14;

[tex]df = 14[/tex]

The confidence interval is then calculated as:

[tex]CI = (\bar x_1 - \bar x_2) \± \sqrt{\sigma_1^2/n_1 + \sigma_2^2/n_2}[/tex]

[tex]CI = (41.33 - 22.3) \± \sqrt{7.48^2/10 + 4.53^2/12}[/tex]

[tex]CI = 19.03 \± \sqrt{7.305115[/tex]

[tex]CI = 19.03 \± 2.70[/tex]

Split

[tex]CI = 19.03 - 2.70[/tex] to [tex]19.03 + 2.70[/tex]

[tex]CI = 16.33[/tex] to [tex]21.73[/tex]

This implies that:

Private colleges have population mean annual cost of $16.33 to $21.73 more expensive than public colleges

Answer:

D

Step-by-step explanation:

Answer: B and C / the second one and the third one

Sorry if you already had to submit or answer this :(

Answer:

D

Step-by-step explanation:

30 multiplied by 1.34 is 40.2

Answer:

X=7

Step-by-step explanation:

Hope this helps , good luck ^^

Step-by-step explanation:

Hi,

y - 1 = 2 - x has a negative slope.

x + y = 0 has a negative slope.

y = 4x - 3 has a positive slope.

y = 1 has a 0 slope.

x = 10 has an undefined slope.

I hope this helps :)

Answer:

D-186

Step-by-step explanation:

I hate edge

Answer:

D-186

Step-by-step explanation:

Got it right

Answer:

No, the small one has a width-to-length ratio of 2/3, and the larger has a ratio of 3/4.

Step-by-step explanation:

No, the small one has a width-to-length ratio of 2/3, and the larger has a ratio of 3/4.

8/12=2/3

18/24=3/4

Answer:

must be 14

Step-by-step explanation:

Answer:

x² + 11x-16y

Step-by-step explanation:

The given equation is :

[tex]2(4x + y) + 3(x - 6y) + x^2[/tex]

It can be simplified as follows :

[tex]2(4x + y) + 3(x - 6y) + x^2\\\\=2(4x)+2y+3x-3(6y)+x^2\\\\=8x+2y+3x-18y+x^2\\\\=11x-16y+x^2[/tex]

So, the correct option is (d) i.e. x² + 11x-16y.

Answer:

Not sure what the question is but the equation would be

[tex]c^{2} = a^{2} + b^{2}[/tex]

[tex]28^{2} = 20^{2} + b^{2}[/tex]

and to find the missing side

784 = 400 + [tex]b^{2}[/tex]

b= 19.6

The missing side would be 19.6

Answer:

19.6

Step-by-step explanation:

u see this is how the Pythagorean theorem works a^2 + b^2 = c^ i hope this helps have a great day bye please mark as brainliest :D

Answer:

<1 = <3

m<1 + m<4 = 180

m 2 + m 3 = 180​

Step-by-step explanation:

If <1 and <2 are linear pair, hence <1 + <2 = 180

If <2 and <3 are linear pair, hence <2 + <3 = 180

Since <1, <2 and <3 are linear pair, hence <1 and <3 vertically opposite

<1 and <4 will also be a linear pair since they will lie on the same straight line. Since the sum of angle on a straight line is 180, hence <1 + <4  = 180degrees

The correct options are

<1 = <3

m<1 + m<4 = 180

m 2 + m 3 = 180​

The answer would be : -2,4

Answer:

(x-6)(x+6)

Step-by-step explanation:

Answer:

C) [tex]\sqrt{90}[/tex]

Step-by-step explanation:

VY = base and leg

XY = height and leg

VX = hypotenuse (c)

VY:

9 - 6 = 3

Solving for VX(c):

a² + b² = c²

3² + 9² = c²

9 + 81 = c²

c² = 90

c = [tex]\sqrt{90}[/tex]

Answer:The answer would be C 90

Step-by-step explanation:

Answer: 2756 cubic inches

Step-by-step explanation:

Well, first calculate the rectangular prism: 11 x 11 x 16 = 2304

Then the cylinder: pi x 4(sqrd) x 9 = about 452

then add them together

I hope this helps! :)

Answer:

Step-by-step explanation:

Edge 2022

Answer:

c

Step-by-step explanation:

2/3 in

Answer:

Reflexive Property of Equality

Answer:

A = 22 and B = 35

Step-by-step explanation:

The proportional value of x and y is simply

x times 3 1/2 = y

Answer:

sampling distribution = 22.4

sampling deviation = 0.68

Step-by-step explanation:

Given that :

Mean , μ = 22.4

Standard deviation, σ = 5.8

n = 73

Therefore, the sampling distribution of the mean and the standard deviation is

[tex]$\mu_{\overline x} = 22.4$[/tex]

So, [tex]$\sigma_{\overline x}=\frac{\sigma}{\sqrt n}$[/tex]

            [tex]$=\frac{5.8}{\sqrt {73}}$[/tex]

          = 0.68

So the sampling distribution of the mean is 22.4

The standard deviation is 0.68

Answer:

A. “However, notwithstanding all that has been done and written against it, that brutish barbarity, and unparalelled injustice, is still carried on to a very great extent in the colonies, and with an avidity as insidious, cruel and oppressive as ever.”

Explanation:

Ottobah Cugoano's "Thoughts and Sentiments on the Evil of Slavery" provides a personal take on the issue of slavery and how evil of a practice it is for African Americans. At the same time, he also asserted that slaves had the right to rebel against their masters for the treatment they were put under.

One explicit statement that reveals the author's beliefs about the slavery system is "However, notwithstanding all that has been done and written against it, that brutish barbarity, and unparalelled injustice, is still carried on to a very great extent in the colonies, and with an avidity as insidious, cruel and oppressive as ever." Through these lines, Cugoano labels slavery as "brutish barbarity, and an unparallelled injustice ... insidious, cruel and oppressive..."

Thus, the correct answer is option A.

Answer:

(x-6) (x-6) or (x-6)^2

Step-by-step explanation:

1.) Find factors of 36 that add up to 12

2.) 6 which makes this a perfect square

3.) you know to subtract because the middle term is negative and the third term is positive (two negatives make a positive)

Answer:

what are u trying to find, what they each are?

Step-by-step explanation:

Answer:

circle =4

triangle = 2

square = 3

Step-by-step explanation:

circle= c

triangle = t

square = s

2c+t+s =13

  t+s = 5

nultiply the second by -1 and add both

   2c +t +s = 13

          -t-s = -5

      2c= 8

c= 4   CIRCLE = 4

3t +4 = 10

3t  = 6

t= 2    TRIANGLE = 2

s+2=5

s=3   SQUARE = 3

Answer:

where's the full question

Step-by-step explanation:

Answer:

8h ≥ 154

Step-by-step explanation:

Mark me Brainllest

Answer: The answer is "tween".

Step-by-step explanation: One of the first usages of the term "tweens" was in the late 1990s referring to children who are in the liminal space between childhood and adolescence. In other words, these children are in a state of “in between.” The culture of tweens originally emerged as a marketing niche directed at preteen girls.