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2 years ago

10

What is the value of x in the equation 5 x - y 5x - y = 30, when y = 15?

1 answer:

Lana71 [14]2 years ago

4 0

Answer:

x=7

Step-by-step explanation:

5x-15=30

add 15 to both sides

5x=45

divide by 5

x=7

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Suppose A and B are independent events if P(A) = 0.4 And P(B) = 0.1, what is P(A'uB)? APEX

Aloiza [94]

For Independent Events, P(A) × P(B) = P(A∩B)

so we have, P(A∩B) = 0.4×0.1 = 0.04

P(A') = 1 - 0.4 = 0.6

This information can be represented on a Venn diagram as shown below

P(A'∪B) means the union of everything that is not A with everything that is B

P(A'∪B) = 0.06 + 0.54 + 0.04 = 0.64

5 0

2 years ago

I NEED HELP!! please show all work

PtichkaEL [24]

Take the logarithm of both sides. The base of the logarithm doesn't matter.

$4^{5x} = 3^{x-2}$

$\implies \log 4^{5x} = \log 3^{x-2}$

Drop the exponents:

$\implies 5x \log 4 = (x-2) \log 3$

Expand the right side:

$\implies 5x \log 4 = x \log 3 - 2 \log 3$

Move the terms containing <em>x</em> to the left side and factor out <em>x</em> :

$\implies 5x \log 4 - x \log 3 = - 2 \log 3$

$\implies x (5 \log 4 - \log 3) = - 2 \log 3$

Solve for <em>x</em> by dividing boths ides by 5 log(4) - log(3) :

$\implies \boxed{x = -\dfrac{ 2 \log 3 }{ 5 \log 4 - \log 3 }}$

You can stop there, or continue simplifying the solution by using properties of logarithms:

$\implies x = -\dfrac{ \log 3^2 }{ \log 4^5 - \log 3 }$

$\implies x = -\dfrac{ \log 9 }{ \log 1024 - \log 3 }$

$\implies \boxed{x = -\dfrac{ \log 9 }{ \log \frac{1024}3 }}$

You can condense the solution further using the change-of-base identity,

$\implies \boxed{x = -\log_{\frac{1024}3}9}$

5 0

2 years ago

I got 47.01816163 metres. When I tried to round it I got it wrong. Can someone please help me?

DerKrebs [107]

Answer:

28 m

Step-by-step explanation:

The top angle in the triangle = 90° - 62° = 28°

Using the cosine ratio in the right triangle

cos28° = $\frac{adjacent}{hypotenuse}$ = $\frac{25}{x}$

cross- multiply

x × cos28° = 25 ( divide both sides by cos28° )

x = $\frac{25}{cos28}$ = 28.31425... ≈ 28 m

Thus the distance from the top to the crocodile is 28 m

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3 years ago

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deff fn [24]

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Elodia [21]

Answer:

647.0625

Step-by-step explanation:

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