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1 year ago

for an open interval (0,1) of a set a that is a subset of x belonging to real numbers, is a a closed subset?

Mathematics

1 answer:

Naddika [18.5K]1 year ago

5 0

Answer:

NO X belonging to real numbers is not a close subset

Step-by-step explanation:

The closed interval [a, b] contains all of its boundary points, while the open interval (a, b) contains none of them. We generalize these terms to sets in Rn: A set S is open if S = Sint . A set S is closed if S = ¯ S .

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A water tank has a square base of area 5 square meters. Initially the tank contains 70 cubic meters. Water leaves the tank, star

ANEK [815]

Answer:

$9.2\ \text{m}$

Step-by-step explanation:

$b$ = Surface area of base = 5 square meters

Volume of water in tank = 70 cubic meters

The rate at which the volume is reducing is

$\dfrac{dV}{dt}=2+4t\\\Rightarrow dV=2+4tdt$

Integrating from $t=0$ to $t=3$

$V=\int^3_0(2+4t)dt\\\Rightarrow V=2t+2t^2|_0^3\\\Rightarrow V=2\times 3+2\times 3^2-0\\\Rightarrow V=24$

Volume of water remaining in the tank is $70-24=46\ \text{m}^3$

Suface area of base $\times$ depth = Volume

$5\times d=46\\\Rightarrow d=\dfrac{46}{5}\\\Rightarrow d=9.2\ \text{m}$

The depth of the water remaining in the tank is $9.2\ \text{m}$ .

3 0

3 years ago

Mr. frankel bought 7 tickets to a puppet show and spent $24. he bought a combination of child tickets for $2 each and adult tick

nydimaria [60]

Let x be the number of child tickets he bought
Let y be the number of adult tickers he bought

① x+y=7 (child tickets+adult ticket=7 tickets in total)
② 2x+4y=24 (price of child tickets+price of adult tickets=$24 in total)

We may simply the second equation since all of the coefficients are divisible by 2.

① x+y=7
② x+2y=12

We can now use elimination by multiplying the second equation by -1.

② -(x+2y=12)
② -x-2y=-12

① x+y=7
② -x-2y=-12

Now putting the equations together,
-y=-5
y=5
x=2

Therefore he bought 2 child tickets and 5 adult tickets

6 0

3 years ago

2 + 0.25x<br><br> What does the second term of the expression represent?

LekaFEV [45]

Is there any more to the question than this?

3 0

3 years ago

During a four-week period, you worked the following hours: Week 1- 363 /8 hr; Week 2- 411 /4 hr; Week 3- 401 /2 hr; Week 4- 383

Dafna11 [192]

The average number of hours can be calculated using the following rule:
average number of hours = total number of hours / total number of weeks

total number of hours = 36 3/8 + 41 1/4 + 40 1/2 + 38 3/8 = 313/2 hours
total number of weeks = 4 weeks

Average number of hours per week = (313/2) / (4) = 39 1/8 hour

Based on the above calculations, the correct answer is:
C. 39 1/8 hour

4 0

3 years ago

The height of a vase is 45.7 centimeters when rounded to the nearest tenth of a centimeter. What is the shortest possible height

vlada-n [284]

Answer:

45.650 centimeters

Step-by-step explanation:

The height of a vase is 45.7 centimeters when rounded to the nearest tenth of a centimeter. What is the shortest possible height of the vase? Give your answer to 3 decimal places

Given that :

Height of vase = 45.7 when rounded to the nearest tenth

The shortest possible height of the vase : will be 45.65, this is because, the subsequent digit (hundredth) after the tenth digit is the figure rounded to give a tenth digit of 7

From the we know that the tenth digit before rounding is 7 - 1 = 6

And smallest possible value the hundredth placed digit could have in other to be rounded to 1 is 5.

To three decimal place, the thousandth placed value could take the least possible value in a digit series, which is 0

Hence, the shortest possible height of the vase = 4.650

4 0

3 years ago