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3 years ago

Consider A is a set and B is another set, if Au B=A n B, then

Mathematics

1 answer:

Y_Kistochka [10]3 years ago

7 0

Answer:

A = B

Step-by-step explanation:

The correct option is;

A = B

Check:

A = {2,3,4}

B = {2,3,4}

Au B = A n B = {2,3,4}

A or B cannot be null.

check

A = {2,3,4}

B = {}

Au B = {2,3,4}

A n B = {}

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How many moles are in 30.0g of N2

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Answer:1.0709

Step-by-step explanation:

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2 years ago

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AABC has vertices at (1,5), (4,8), and (16, 12). A second triangle, ADEF, has vertices at (4, 20), (16, 32), and (64, 48). If th

navik [9.2K]

Answer: the first one

Step-by-step explanation:

(x,y)->(4x, 4y)

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2 years ago

A factory produce bicycles at a rate of 110+0.5t^2-0.9t bicycles per week (t in weeks)

klasskru [66]

Answer:

221

Step-by-step explanation:

Day 8 is the first day of the second week.

Day 21 is the last day of week 3.

We need to know the n umber of bicycles made from t = 1 to t = 3

The function is b(t) = 110 + 0.5t^2 - 0.9t, where t is in weeks.

We need to integrate the function with the limits of 1 to 3.

$\int_{1}^{3} (110 + 0.5t^2 - 0.9t) dt$

$\int_{1}^{3} (110 + \dfrac{t^2}{2} - \dfrac{9t}{10}) dt$

$= 110t + \dfrac{t^3}{6} - \dfrac{9t^2}{20} \Biggr|_{1}^{3}$

$= 330.45 - 109.72$

$= 220.7333$

Answer: 221

3 0

2 years ago

The procedures can also be called the methods

Vsevolod [243]

Procedures can also be called methods because they are like steps and rules that you can follow.

3 0

3 years ago

Emma has money into savings accounts. One rate is 8% and the other is 12%. If she has $450 more in the 12% account and the total

AveGali [126]

Let's say that the value invested in the account with a rate of 8% is "x", then the amount invested in the account with a rate of 12% is:

$x+450$

To calculate the total interest we need to calculate the interest of each individual account and sum them:

$\begin{gathered} \frac{8}{100}\cdot x=0.08\cdot x \\ \frac{12}{100}\cdot(x+450)=0.12\cdot x+54 \end{gathered}$

The total interest is the sum of the two expressions above:

$\begin{gathered} 220=(0.08\cdot x)+(0.12\cdot x+54) \\ 220=0.08\cdot x+0.12\cdot x+54 \\ 220-54=0.2\cdot x \\ 166=0.2\cdot x \\ 0.2\cdot x=166 \\ x=\frac{166}{0.2} \\ x=830 \end{gathered}$

The value invested in the account with 8% interest is 830, the one invested in the account with 12% interest is 1280.

7 0

10 months ago