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3 years ago

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12. a. Write a survey question to find out the number of students in your class who plan to travel out of state after graduation

. b. Describe the sampling method you would use.

1 answer:

Dominik [7]3 years ago

6 0

A.-How many students want to plan to travel after graduation?

b.-Systematic

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If you could show as much work as possible that would be amazing!!

Nikitich [7]

Answers:

<u>Reduce:</u>

Here we gave to simplify the expressions:

9) $x^{2}+7x+\frac{12}{x^{2}}+11x+28$

Grouping similar terms:

$(x^{2}+\frac{12}{x^{2}})+(18x+28)$

Applying common factor $x^{2}$ in the first parenthesis and common factor $2$ in the second parenthesis:

$x^{2}(1+\frac{12}{x^{4}})+2(9x+14)$ This is the answer

11) $y^{3}+\frac{27}{y^{2}}+2y-3$

Rearranging the terms:

$(y^{3}+2y)+(\frac{27}{y^{2}}-3)$

Applying common factor $y$ in the first parenthesis and common factor $3$ in the second parenthesis:

$y(y^{2}+2)+3(\frac{9}{y^{2}}-1)$ This is the answer

<u>Multiply:</u>

19) $(\frac{12a^{9}u^{7}}{15 c})(\frac{3c^{4}}{21a^{13 u^{8}}})$

Multiplying both fractions:

$\frac{36 a^{9}u^{7}c^{4}}{315 c a^{13}u^{8}}$

Dividing numerator and denominator by 3 and simplifying:

$\frac{12 c^{3}}{105 c a^{4}u}$ This is the answer

21) $(x-\frac{3}{x}-7)(x^{2}-9x+\frac{35}{x^{2}}-18)$

$(\frac{x^{2}-3-7x}{x})(\frac{x^{4}-9x^{3}+35-18x^{2}}{x^{2}})$

Operating with cross product:

$x^{2} (x^{2}-3-7x) x(x^{4}-9x^{3}+35-18x^{2})$

$x^{9} -9x^{8} -18x^{7}+35x^{5}-7x^{8} +63x^{7}+126x^{6}-245x^{4}-3x^{7}+27x^{6}+54x^{5}-105x^{3}$

Grouping similar terms and factoring:

$x^{9}-2(8x^{8}+21x^{7} )+153x^{6}+89x^{5}-5(49x^{4}+21x^{3})$ This is the answer

<u>Divide:</u>

29) $\frac{\frac{k^{6}}{x^{2}}}{\frac{2k^{4}}{3x^{6}}}$

$\frac{3k^{6}x^{6}}{2x^{2}k^{4}}$

Simplifying:

$\frac{3}{2} k^{2}x^{4}$ This is the answer

33) $\frac{\frac{x+5}{x+1}}{\frac{x^{2}+11x+30}{x^{2}+3x+2}}$

$\frac{(x+5)(x^{2}+3x+2)}{(x+1)(x^{2}+11x+30)}$

Factoring numerator and denominator:

$\frac{(x+5)(x+2)(x+1)}{(x+1)(x+6)(x+5)}$

Simplifying:

$\frac{x+2}{x+6}$ This is the answer

37) $\frac{\frac{x-10}{x+13}}{\frac{x^{3}-1000}{x^{2}+15x+21}}$

$\frac{(x-10)(x^{2}+15x+21)}{(x+13)(x^{3}-1000)}$

Applying the distributive property in numerator and denominator:

$\frac{x^{3}+15x^{2}+21x-10x^{2}-150x-210}{(x+13)(x^{4}-1000x+13x^{3}-13000)}$

Grouping similar terms and factoring by common factor:

$-\frac{5x(x^{2}-129)(x^{2}-42)}{1000x^{3} (x+13)(x-13)}$

Dividing by $5$ in numerator and denominator and simplifying:

$-\frac{(x^{2}-129)(x^{2}-42)}{200x^{2}(x+13)(x-13)}$ This is the answer

3 0

3 years ago

What is 3/4 divided by 2/3<br><br> also <br> what is 1/3 divided by 4/1

tino4ka555 [31]

1. 1.125

2. 0.08333333333

good luck :)

8 0

2 years ago

Read 2 more answers

What is the slope of a line that passes through (2,7) and (-3,5)

Damm [24]

Answer:

2/5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(5-7)/(-3-2)

m=-2/-5

m=2/5

7 0

2 years ago

Read 2 more answers

The following graph represents the hourly commission of a home appliance salesperson, y, based on the number of salespeople that

grandymaker [24]

We have been given graph of a downward opening parabola with vertex at point $(6.5,42.25)$ . We are asked to write equation of the parabola in standard form.

We know that equation of parabola in standard form is $f(x)=ax^2+bx+c$ .

We will write our equation in vertex form and then convert it into standard form.

Vertex for of parabola is $y=a(x-h)^2+k$ , where point (h,k) represents vertex of parabola and a represents leading coefficient.

Since our parabola is downward opening so leading coefficient will be negative.

Upon substituting coordinates of vertex and point (0,0) in vertex form, we will get:

$0=-a(0-6.5)^2+42.25$

$0=-a(42.25)+42.25$

$-42.25=-a(42.25)+42.25-42.25$

$-42.25=-42.25a$

$a=1$ Divide both sides by $-42.25$

So our equation in vertex form would be $f(x)=-(x-6.5)^2+42.25$ .

Let us convert it in standard from.

$f(x)=-(x^2-13x+42.25)+42.25$

$f(x)=-x^2+13x-42.25+42.25$

$f(x)=-x^2+13x$

Therefore, the equation of function is standard form would be $f(x)=-x^2+13x$ .

3 0

3 years ago

laryy has 3 packets of ballons with 15 ballons in each packet. he wants to put the same number of balloons into 10 gift bags wha

wel

larry has 3 packer sin each 15 and total are 45 u wish put in 10 bags then divide 45 by 10 anser is 5

5 0

3 years ago