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Naya [18.7K]
3 years ago
12

Given that 2x + 1 =5, what is the value of (x+3)^3

Mathematics
2 answers:
Anika [276]3 years ago
7 0

Answer:

The value of (x + 3)³ is 125.

Step-by-step explanation:

First, we have to find the value of x.

To do so, start with the first equation, 2x + 1 = 5.

We can easily solve this equation to find the value of x.

First, start by subtracting 1 from each side.

This leaves us with 2x = 4.

Next, divide by two on each side.

This will leave us with the answer x = 2.

Now we know the value of x = 2.

All that's left to do is substitute the value of x, 2, for x.

First, start with the second equation (x + 3)³.

We know that x is equal to 2, so we can enter 2 for x.

We then have the equation (2 + 3)³.

Next, solve.

Add the 2 and the 3 together.

Now, the equation is 5³.

5³ is equal to 5 · 5 · 5

5 · 5 · 5 = 125

To sum up,

We found out that x = 2

Using 2 for x, we found out that (x + 3)³ is equal to 125.

Alla [95]3 years ago
5 0

Answer: 125

Step-by-step explanation:

First, solve for x in the first equation.

1) Subtract 1 from both sides.

2x = 4

2) Divide by 2 on both sides.

x = 2

Next, substitute the value of x into the second expression.

(2 + 3)^3

= 5^3

= 125

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Answer:

55.32% probability that a late package was delivered by express delivery service 2

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

P(B|A) = \frac{P(B)*P(A|B)}{P(A)}

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Late delivery.

Event B: Service 2 was used.

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100 - 35 = 65%.

So P(B) = 0.65

Service 2 has a record of 2.0% of packages being delivered late.

This means that P(A|B) = 0.02

Probability of a late delivery.

35% from service 1. Of those, 3% are late.

65% from service 2. Of those, 2% are late.

So

P(A) = 0.35*0.03 + 0.65*0.02 = 0.0235

What is the probability that a late package was delivered by express delivery service 2

P(B|A) = \frac{0.65*0.02}{0.0235} = 0.5532

55.32% probability that a late package was delivered by express delivery service 2

5 0
2 years ago
A photograph of sides 35cm by 22cm is mounted onto a
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<h3>Answer:  580 square cm</h3>

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

Work Shown:

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A = 770

B = area of larger rectangle

B = length*width

B = 45*30

B = 1350

C = area of the border only

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Answer:

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Step-by-step explanation:

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b=16

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