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Dominik [7]
3 years ago
6

Given the sets above, select all (or the null set) of the element of: B

Mathematics
1 answer:
Elanso [62]3 years ago
5 0

Given:

Universal set = {a, b, c, d, e, f, g, h}

A = {a, b, c, d}

B = {a, d, e}

C= {c, f, g, h}

To find:

The elements of set B'.

Solution:

Let universal set be U.

U = {a, b, c, d, e, f, g, h}

We know that,

Compliment of a set = Universal set - Set

It means,

B'=U-B

B'=\{a, b, c, d, e, f, g, h\}-\{a,d,e\}

B'=\{b, c,f, g, h\}

Therefore, only b, c, f, g, h are the elements of set B'.

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You will write a 5-paragraph essay explaining how you would solve the following equation:
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Answer:

x=0

Step-by-step explanation:

\frac{7}{3}(2x+3)+\frac{3}{4}(\frac{x}{5}-\frac{15}{2})=\frac{11}{8} <-- Given

\frac{14}{3}x+7+\frac{3}{20}x-\frac{45}{8}=\frac{11}{8} <-- Distributive Property

\frac{280}{60}x+7+\frac{9}{60}x-\frac{45}{8}=\frac{11}{8} <-- Find LCD of x-terms

\frac{289}{60}x+7-\frac{45}{8}=\frac{11}{8} <-- Combine Like Terms

\frac{289}{60}x+7=\frac{56}{8} <-- Add 45/8 to both sides

\frac{289}{60}x+7}=7 <-- Simplify Right Side

\frac{289}{60}x=0 <-- Subtract 7 on both sides

x=0 <-- Divide both sides by 289/60

3 0
2 years ago
PLEASE HELP ME! IM GETTING TIMED!!
liraira [26]
Total volume is volume of cylinder+volume of cone
Volume of cylinder=pi*r^2*h
V=pi*6^2*14
V=1582.56
Volume of cone=pi*r^2*h/3
V=pi*6^2*6/3
V=226.08
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6 0
3 years ago
During a test period, an experimental group of 10 vehicles using an 85 percent ethanol-gasoline mixture showed mean CO2 emission
Zinaida [17]

Answer:

-1.683

Step-by-step explanation:

Given :

Group 1 :

x1 = 667 ; n1 = 10 ; s1 = 20

Group 2 :

x2 = 679 ; n2 = 14 ; s2 = 15

The test statistic assuming equal variance :

x1 - x2 / √[Sp² * (1/n1 + 1/n2)]

sp² = [(n1 - 1)*s1² + (n2 - 1)*s2²] ÷ (n1 + n2 - 2)

Sp² = [(10 - 1)*20² + (14 - 1)*15²] = 296.59

Test statistic =

(667 - 679)/ √[296.59 * (1/10 + 1/14)]

-12 / 7.1304978

Test statistic = - 1.682

8 0
2 years ago
Consider a circle whose size can vary. Let r represent the radius of the circle (in cm) and let C represent the circumference of
Firdavs [7]

Answer:

g (15) represents the radius (in cm) of a circle whose circumference is 15 cm

if g (a) = 15, then a represents the circumference (in cm) of a circle whose radius is 15cm

Step-by-step explanation:

In a circle the following relationship can be posed:

C = 2 \pi r

Let g be a function that determines the radius of the circle from the value of its circumference, so, you have:

g (C) =\frac{C}{2\pi}

Thus, g (15) represents the radius (in cm) of a circle whose circumference is 15 cm. You have to g (15) =\frac{15}{2\pi}.

On the other hand, if g (a) = 15, then a represents the circumference (in cm) of a circle whose radius is 15cm. You have to a=2 \pi(15) = 30 \pi

4 0
3 years ago
there are a total of 122 countries in Africa, Europe, and North America. Europe has twice as many countries as North America, an
lana66690 [7]
E = 2N

A = E +  7 = 2n + 7

n + 2n + 2n +7 = 122
8 0
3 years ago
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