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bezimeni [28]
3 years ago
15

Analyze the set below and complete the instructions that follow.

Mathematics
1 answer:
IrinaVladis [17]3 years ago
7 0

Answer:

C

Step-by-step explanation:

Given: the set is defined as C=\left \{ x|x

To find: Set builder form of the complement of the set C.

Solution:

A set is a well-defined collection of objects. Set-builder form is used to denote the elements of the set. This form can also be used to express sets using an interval or an equation.

Complement of set A refers to elements not in A.

For C=\left \{ x|x,

C^c=\left \{ x|x\geq -42 \right \}

Option C is correct.

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Herman is traveling 125 miles from his house to the beach by car. Herman plans to stop for lunch when the ratio of the distance
aliya0001 [1]

Answer:

250 miles

Step-by-step explanation:

The given distance between the house and the beach is 125 miles.

Let x miles be the distance between the house and the lunch stop.

So, at the time of the lunch stop, he already traveled x miles, the remaining distance is the distance between the lunch stop and the beach.

Let y miles be the remaining distance, so

y=125-x.

Give that the ratio of the distance he has traveled, x, to the distance he still has to travel, y, is 2:3,i.e

x:y=2:3

\Rightarrow \frac x y =\frac 2 3

\Rightarrow \frac {x}{125-x}=\frac 2 3

\Rightarrow 3\times x=2\times(125-x)

\Rightarrow 3\times x=2\times125-2\timesx

\Rightarrow 3 x=250-2x

\Rightarrow 3x-2x=250

\Rightarrow x=250

Hence, the distance traveled by Herman when he stops for lunch is 250 miles.

4 0
3 years ago
If your starting salary were $40,000 and you received a 3% increase at the end of every year for 15 years, what would be the tot
Dmitry [639]

T = 40000 + 40000(1.03) + 40000(1.03)^2 + ... + 40000(1.03)^15


Multiply the above equation by 1.03 giving


1.03(T) = 40000(1.03) + 40000(1.03)^2 + 40000(1.03)^3 + ... + 40000(1.03)^15 + 40000(1.03)^16


Now subtract the first equation from the second to give


0.03T = 40000(1.03)^16 - 40000


0.03T = 40000(1.03^16 - 1)


0.03T = 24188.26


T = 24188.26 / 0.03 = $806275.25


6 0
3 years ago
Read 2 more answers
If y varies inversely as the square of x, and y = 1/8 when x = 1, find y when x = 5.
Kisachek [45]
Y = k / x² ( y varies inversely as the square of x ) 
y = 1/8 when x = 1:
1/8 = k / 1²
8 k = 1
k = 1/8
For x = 5:
y = 1/8  / 5² = 1/8 : 25 = 1/8 · 1/25 = 1/200
Answer: A ) 1/200


6 0
3 years ago
Help?
borishaifa [10]
Hello there.

Which of the following is an unintended consequence of China's one-child policy?

Women are less likely to pursue higher education degrees.
7 0
3 years ago
Read 2 more answers
Expand the following question 3(3x-2)
marissa [1.9K]

3(3x - 2)

Distribute (multiply) 2 inside the parentheses.

3 * 3x and 3 * -2

9x - 6

5 0
3 years ago
Read 2 more answers
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