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3 years ago

(1+k)^1/kassume ^1/k=n

Mathematics

1 answer:

antiseptic1488 [7]3 years ago

8 0

Answer:

what are u trying to ask

Step-by-step explanation:

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Math help asap right now

Anna [14]

3 and 2 are the ansewers i tink

8 0

3 years ago

Read 2 more answers

Which rule describes the relationship between the input and output pairs in the following table?

Katarina [22]

Answer:

B)Multiply the input by 2 to get the output

Step-by-step explanation:

5x2=10

10x2=20

15x2=30

3 0

3 years ago

Problems 2.21, 2.22, 2.23

RoseWind [281]

Statements can be proved by contrapositive, contradiction or by induction.

2.21 and 2.23 are proved by contrapositive
2.22 is proved by induction

2.21: If $n^3$ is even, then n is even (By contrapositive)

The contrapositive of the above statement is that:

If n is odd, then $n^3$ is odd

Represent the value of n as:

$n = 2k + 1$ , where $k \ge 0$

Take the cube of both sides

$n^3 = (2k + 1)^3$

Expand

$n^3 = 8k^3 + 6k^2 + 6k + 1$

Group

$n^3 =[ 8k^3 + 6k^2 + 6k] + 1$

Factor out 2

$n^3 =2[4k^3 + 3k^2 + 3k] + 1$

Assume w is an integer; where:

$w =4k^3 + 3k^2 + 3k$

So, we have:

$n^3 =2w + 1$

The constant term (i.e. 1) means that $n^3$ is odd.

Hence, the statement has been proved by contrapositive.

i.e. If n is odd, then $n^3$ is odd

2.22 $3n + 4$ is even, if and only if n is even

We have: $3n + 4$

Assume that: $n = 2k + 2$ for $k \ge 0$

So, we have:

$3n + 4 = 3(2k + 2) + 4$

Open bracket

$3n + 4 = 6k + 6 + 4$

$3n + 4 = 6k + 10$

Factorize

$3n + 4 = 2(3k + 5)$

The factor of 2 means that $3n + 4$ is even.

Hence, $3n + 4$ is even, if and only if n is even

2.22: $s \ne -1$ and $t \ne -1$ , then $s + t + st \ne -1$

To do this, we prove by contrapositive.

The contrapositive of the above statement is:

If $s = -1$ and $t=-1$ , then $s + t + st = -1$

We have:

$s + t + st = -1$

Substitute the values of s and t in: $s + t + st = -1$

$-1 -1 -1 \times -1 = -1$

$-1 -1 + 1 = -1$

$-1 = -1$

Hence, by contrapositive:

If $s = -1$ and $t=-1$ , then $s + t + st = -1$

Read more about proofs at:

brainly.com/question/19643658

7 0

3 years ago

The two way table shows the result of a survey that asked 50 people with pet they like best. Which statements are correct?

PolarNik [594]

Answer:

Step-by-step explanation:

4 0

3 years ago

A student would like to estimate the proportion of the senior class that plans to attend prom this year. The student goes to the

Paul [167]

Answer:

No, although the random and large counts conditions are met, the 10% condition is not met.

Step-by-step explanation:

The random condition is met because the student selects a random sample of 50 seniors. The large counts condition is met because there are 38 expected successes and 12 expected failures, which are both at least 10. The 10% condition is not met because n = 50 is not less than 10% of the size of the population (N = 274 seniors).

3 0

4 years ago

(1+k)^​1/kassume ​​^1/k=n​​

(1+k)^1/kassume ^1/k=n