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QveST [7]
3 years ago
13

If x = 3y^4 and y = s/ 2x^3, show that s = 54y^13.

Mathematics
1 answer:
Solnce55 [7]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

Given

y = \frac{s}{2x^3} ← multiply both sides by 2x³

2x³y = s ← substitute x = 3y^{4} into left side, then

2(3y^4)^{3} y = s, thus

s = 2 × 3³ × y^{12} y

  = 2 × 27 × y^{(12+1)}

  = 54y^{13}

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The theoretical probability of an event is the number of desired outcomes divided by all possible outcomes. What is the probabil
malfutka [58]

The theoretical probaility of drawing an ace from a shuffled deck of playing cards is 1/13.

According to the given question.

A card is drawn from a shuffled standard deck.

Since, the total number of cards in a shuffled standard deck = 52

And, the total number of aces in a shuffled standard deck = 4

As, we know that "the theoretical probability of an event is the number of desired outcomes divided by all possible outcomes".

Therefore, the theoretical probabability of drawing an ace from a shuffled deck of playing cards

= 4/52

= 1/13

Hence, the theoretical probaility of drawing an ace from a shuffled deck of playing cards is 1/13.

Find out more information about theoretical probability here:

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8 0
2 years ago
Tell whether the angles are adjacent or vertical. Then find the value of x.
Alexandra [31]

Answer:

Vertical/ x = 25.

Step-by-step explanation:

Vertical angles are self-explanatory; vertical angles are angles that are vertical from each other.

Vertical angles are also congruent (equal), meaning that both angles equal 75°.

4x - 25 = 75.

To solve this expression, we must first add 25 to 75. This is because there is a subtraction sign in front of 25, so we must do the opposite.

25 + 75 = 100

Lastly, divide 100 from 4.

4x = 100

100 / 4 = 25

x = 25

3 0
2 years ago
Hi what is the four time pi?
Minchanka [31]

Answer:

<h2>12.5663706144 or just 12.57.</h2>

Step-by-step explanation:

4 x pi = 12.57

<h3>Estimate </h3>

Pi is approx. equal to 3.14

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8 0
3 years ago
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Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
3p + 2q = 14<br> 10p + 6q = 44<br> What is p and what is q
Airida [17]

Answer:

p = 2 ; q = 4

Step-by-step explanation:

Given tbe equation :

3p + 2q = 14 - - - (1)

10p + 6q = 44 - - -(2)

What is p and what is q

This is a simultaneous equation ; using elimination method :

Multiply (1) by 6 and (2) by 2

18p + 12q = 84 - - - - (3)

20p + 12q = 88 - - - (4)

Subtract (3) and (4)

-2p = - 4

p = 4/2

p = 2

Put p = 2 in (1)

3p + 2q = 14

3(2) + 2q = 14

6 + 2q = 14

2q = 14 - 6

2q = 8

q = 8/2

q = 4

p = 2 ; q = 4

4 0
2 years ago
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