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insens350 [35]
3 years ago
12

A number cube has faces numbered 1 to 6. What is true about rolling the number cube one time? Select three options. S = {1, 2, 3

, 4, 5, 6} A. If A is a subset of S, A could be {0, 1, 2}. B. If A is a subset of S, A could be {5, 6}. C. If a subset A represents the complement of rolling a 5, then A = {1, 2, 3, 4, 6}. D. If a subset A represents the complement of rolling an even number, then A = {1, 3}.
Mathematics
2 answers:
Marat540 [252]3 years ago
5 0

Answer:

The correct answers are the options B. ; C. ; D.

Step-by-step explanation:

A numbered cube has face from 1 to 6.

The set S = {1, 2, 3, 4, 5, 6}.

A. If A is a subset of S, A could be {0, 1, 2}. This statement is false as A is a subset of B and A contains the element {0} which is not in S.

B. If A is a subset of S and A is given by {5, 6}. This statement is true as A elements of A are also in S.

C. If a subset A represents the complement of rolling a 5, then A = {1, 2, 3, 4, 6}. This statement is even true as A should contain all numbers from 1 to 6 except 5.

D. If a subset A represents the complement of rolling an even number, then A = {1, 3}. This statement is true as the numbers complement of an even number are 1, 3 and 5.

cupoosta [38]3 years ago
3 0

Answer:

its actually C and D

NOT B

Step-by-step explanation:

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A soccer player kicks a rock horizontally off a 31.0 m high cliff into a pool of water. If the player hears the sound of the spl
OLga [1]

Answer:

initial speed given to the rock is v= 147.46 m/s

Step-by-step explanation:

Since the player kicks the rock horizontally , then its initial vertical speed is always vy₀=0 and thus the time to hit the pool is independent of the speed given to the rock . t is calculated through

0 = y + vy₀*t - 1/2*g*t² = y+ 0 - 1/2*g*t²

then

t = √(2*y/g) = √(2*31 m/ 9.8 m/s²)   = 2.515 s

when the rock hits the water , the sound wave travels diagonally a distance D and is heard by the player. the distance D is

D= v sound * T

the time the sound wave travels is T= 3.6 s -  2.515 s = 1.085 s and v sound= 343 m/s

then

D= v sound * T = 343 m/s* 1.085 s = 372.155 m

since the distance D is also

D= √(x² + y²)

then the horizontal distance  x is

x= √(D² - y²)= √[(372.155 m)² - (31 m)²] = 370.861 m

since the rock hits the water at t = 2.515 s , the horizontal velocity of the ball  ( and thus the initial speed given to the ball since there is no acceleration in the horizontal direction if we depreciate air friction)

v=x/t = 370.861 m/2.515 s = 147.46 m/s

4 0
3 years ago
What is the value of x?​
alina1380 [7]

Answer:

<h2>x = 4</h2>

Step-by-step explanation:

Look at the picture.

We have the triangles 30° - 60° - 90° and 45° - 45° - 90°.

The sides are in proportions:

30° - 60° - 90° ⇒ 1 : √3 : 2

45° - 45° - 90° ⇒ 1 : 1 : √2

======================================================

SR=ST\sqrt3\to ST\sqrt3=2\sqrt3\qquad\text{divide both sides by}\ \sqrt3\\\\ST=2\\\\TR=2ST\to TR=2(2)=4\\\\RQ=TR\to RQ=4\to x=4

7 0
4 years ago
Which expression is equivalent to 5.4−1.8 ? A. −1.8+5.4 B.−1.8−5.4 C. 1.8 + 5.4 D.1.8−5.4
Digiron [165]
The correct answer is A: -1.8 + 5.4. Adding a negative is the same as subtracting. 
6 0
3 years ago
Read 2 more answers
Which expression is equivalent to (32−−√5)13 ?
Nimfa-mama [501]

Answer:

the given expression is equivalent to the 3 \frac{2}{15}

Step-by-step explanation:

The computation is shown below:

3^2 \frac{1}{5} : 3 \frac{2}{5} \\\\(3\frac{2}{5})^\frac{1}{3}  \\

Now applied the exponent rule i.e. presented below:

(a^b)^c = a^{bc}

= 3 \frac{2}{5} \times \frac{1}{3} \\\\\frac{2}{5} \times \frac{1}{3} \\\\= \frac{2}{15}

3 \frac{2}{15}

Hence, the given expression is equivalent to the 3 \frac{2}{15}

8 0
3 years ago
I don’t understand how do you do this I have a assignment for tommorow some one help
frosja888 [35]

Answer:

500 ML

Step-by-step explanation:

for every 1 liter, it is 1,000ML

so 1 L / 2 is 500ML

and 500 on your beaker is located in between 600 and 400

Hope this helps :)

8 0
4 years ago
Read 2 more answers
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