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2 years ago

Supposed U = {-10, -9, -8, -7, -6, -5, -4, -3, -2, -1} is the universal set and K = {-10, -8, -6, -4, -2}. What is K’?

Mathematics

1 answer:

Ilia_Sergeevich [38]2 years ago

3 0

Answer:

-9

Step-by-step explanation:

-9,

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By using the remainder theorem, determine the remainder when

Greeley [361]

Answer:

-123

Step-by-step explanation:

The remainder theorem says that when a polynomial is divided by a linear factor x - c (note the minus sign), the remainder is the value of the polynomial at x = c.

When a polynomial P(x) is divided by x - c, the remainder is P(c). In other words, to find the remainder, plug in c for x.

You're dividing by x + 4 which is the same thing as x - (-4) -- the role of c is being played by -4.

3(–4)^3 – (–4)^2 – 20(–4) + 5 = –123

3 0

3 years ago

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3. The parents of a newborn girl want to invest $1000 in some kind of saving plan that their child could

andrew11 [14]

Answer:

A. 1000x75t=i

B. 1000(1+5%/n)^t

Step-by-step explanation:

i=prt interest principle rate time

a=p(1+r/n)^t amount principle rate number of times interest is compound time

<em>Hope this helps.</em>

5 0

2 years ago

How many times bigger is 1.8x10^27 than 1x10^25

victus00 [196]

To find the number of times it is bigger

$= \dfrac{1.8 \times 10^{27} }{1 \times 10^{25}}$

$= 1.8 \times 10^{27-25}$

$= 1.8 \times 10^{2}$

$= 180 \text { times}$

3 0

3 years ago

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Assume that the number of defective basketballs produced is related by a linear equation to the total number produced. Suppose t

sveta [45]

Answer: 22 defective balls

Step-by-step explanation:

Using the law of equality,

9 defective balls = 225 ...eqn 1.

14 defective balls = 350...eqn 2

x defective balls = 550...eqn 3

We can use any two of the equations above to get the unknown variable 'x'

Using equations 2 and 3,

14 defective balls = 350...eqn 2

x defective balls = 550...eqn 3

We cross multiply to have

x×350 = 14×550

Dividing both sides by 350,

x = 14×550/350

x = 22.

Therefore, the number of defective balls produced in a lot of 550 balls are 22balls.

Note that we will still arrive at the same answer (22balls) if equation 1 and 3 are used for our solution.

Thank you!

8 0

3 years ago

Laurie earns $7.50 per hour at the fruit stand plus an extra $2.00 per hour on Sundays. One week in August, she worked on Sunday

Ratling [72]

Answer:

Hi there!

Your answer is:

She worked for 3 Hours on Monday.

Step-by-step explanation:

7.5$ per hour

7.5+2$ per hour on Sundays.

In August:

Sunday, Monday, Wednesday.

# of hours for Monday =Wednesday

Sunday= 4 hrs (which would mean 9.5$ * 4)

Monday and Wednesday will be modeled by X

X + 38$ (earned sunday)= 83$

-38

X= 45$

Since X represents BOTH monday and wednesday, divide by 2

45/2 = 22.5$

CHECK YOUR WORK

22.5$ (monday) + 22.5$ (wednesday) + 38$ (sunday)= 83???

45=38=83???

83=83 YES

Now, to determine how many hours that is, we divide the earned wages by the wage per hour.

22.5 / 7.5 = 3 HOURS

CHECK YOUR WORK

3 hours * 7.5 per hour = 22.5???

22.5 = 22.5 YES

Hope this helps

6 0

3 years ago