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cestrela7 [59]
3 years ago
13

Someone please help me

Mathematics
1 answer:
Anika [276]3 years ago
6 0

Answer:

A

Step-by-step explanation:

Given

a = \frac{1}{x} - \frac{1}{y} = \frac{y-x}{xy} ← as a single fraction

Thus

\frac{1}{a} = \frac{1}{\frac{y-x}{xy} } = \frac{xy}{y-x} → A

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Drawing a card- four cards are drawn from a desk without replacement.Find these probabilities.
svetlana [45]

The deck consists of 4 jacks, 26 black cards, and 13 hearts.

There is only 1 way of drawing all 4 jacks: \dbinom44=\dfrac{4!}{4!(4-4)!}=1.

There are \dbinom{26}4=14,950 ways of drawing 4 black cards.

There are \dbinom{13}4=715 ways of drawing 4 hearts.

There are \dbinom{52}4=270,725 ways of drawing any 4 cards.

The probabilities are then

a.

\dfrac{\binom44}{\binom{52}4}=\dfrac1{207,725}\approx0.00000369

b.

\dfrac{\binom{26}4}{\binom{52}4}=\dfrac{46}{833}\approx0.0552

c.

\dfrac{\binom{13}4}{\binom{52}4}=\dfrac{11}{4165}\approx0.00264

5 0
3 years ago
The wave rly brush company issued 4,000 shares of common stock worth 200,000.00 total. What is the par value of each share
vivado [14]

I believe the answer is 50,000, I could be wrong.

6 0
3 years ago
Read 2 more answers
Which statements accurately describe the function f(x) = 3(16)^3/4? Check all that apply.
uysha [10]

Answers:

These are the statements that apply:

The initial value is 3.

The range is y >0.

The simplified base is 8.

Explanation:

1) Given expression:

f(x)=3(16)^{\frac{3}{4} x

2) Check every statement:

a) The initial value is 3?

initial value ⇒ x = 0 ⇒

f(0)=3(16)^{0}=3(1)=3

∴ The statement is right.

b) The initial value is 48?

Not, as it was already proved that it is 3.

c) The domain is x > 0?

No, because the domain of the exponential functions is all the Real numbers.

d) The range is y > 0?

That is correct, the exponential function is continuous, and monotonon increasing.

The limit when x → - ∞ is zero, but y never reaches zero, and the limit when x → ∞ is + ∞, meaning that the range is y > 0.

e) The simplified base is 12?

This is how you simplify the base:

3(16)^{\frac{3}{4} x}=3{{(16}^{(3/4)})}^x=3(16^{3/4}})^{x}=3((2^4)^{3/4})^x=3(2^3)^x=3(8)^x

Which shows that the simplified base is 8 (not 12).

f) The simplified base is 8?

Yes; this was just proved.

6 0
3 years ago
Read 2 more answers
2. In the diagram below, secants PT and PU have been drawn from exterior point P such that the four arcs
scoundrel [369]

Answer:

(a) x = 30°

(b) mRS =  30°

mST =  120°

mTU  = 120°

mUR = 90°

Step-by-step explanation:

(a) In the picture attached, the diagram is shown.

Given that m arc RS = x, from the ratios:

m arc ST = 4x

m arc TU = 4x

m arc UR = 3x

The addition of the four arcs must be equal to 360°, then:

x + 4x + 4x + 3x = 360°

12x = 360°

x = 360°/12 = 30°

(b) m arc RS = x = 30°

m arc ST = 4x = 4*30° = 120°

m arc TU = 4x = 4*30° = 120°

m arc UR = 3x = 3*30° = 90°

8 0
3 years ago
Can you help me pls lol I’m doing a test
Schach [20]

Answer:

Dont say your doing a test, brainly is strict and will delete your question because its timed

Step-by-step explanation:

6 0
2 years ago
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