3 years ago

Suppose 30 = a X 60. What is 30/a?

Mathematics

1 answer:

Alex3 years ago

6 0

Answer:

30*60=1800

explain: a=60

30*60=1800

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Factor 10c^2-60cd +80d^2

ozzi

$10c^2-60cd +80d^2$

$(2c - 8d) (5c -10d)$

$this \\ is \\ because...$

$2c*5c=10c^2$

$2c * -10d=-20cd \\ -8d*5c=-40cd \\ -20cd-40cd=-60cd$

$-8d * -10d = 80d$

5 0

2 years ago

Use an induction proof to prove this statement:<br> For n≥1, 4^n+5 is divisible by 3.

Tpy6a [65]

Answer:

See below

Step-by-step explanation:

We shall prove that for all $n\in\mathbb{N},3|(4^n+5)$ . This tells us that 3 divides 4^n+5 with a remainder of zero.

If we let $n=1$ , then we have $4^{1}+5=9$ , and evidently, $9|3$ .

Assume that $4^n+5$ is divisible by $3$ for $n=k, k\in\mathbb{N}$ . Then, by this assumption, $3|(4^n+5)\Rightarrow4^k+5=3m,\: m\in\mathbb{Z}$ .

Now, let $n=k+1$ . Then:

$4^{k+1}+5=4^k\cdot4+5\\=4^k(3+1)+5\\=3\cdot4^k+4^k+5\\=3\cdot4^k+3m\\=3(4^k+m)$

Since $3|(4^k+m)$ , we may conclude, by the axiom of induction, that the property holds for all $n\in\mathbb{N}$ .

3 0

1 year ago

Can someone help me plz

Aliun [14]

Answer:

The answer is 4.

Step-by-step explanation:

8/3 ÷ 2/3 = 8/3 x 3/2 = 4

7 0

2 years ago

Read 2 more answers

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Ksivusya [100]

Answer:

Step-by-step explanation:

$10-\frac{54}{6}$

10-9

8 0

3 years ago

The average number of hours of sleep per night was 9.46 hours for a sample of 104 five to seven year-old children. The number 9.

alexgriva [62]

Answer:

Statistic

Step-by-step explanation:

Since, a characteristic of a sample is called statistic. It is used to estimate the value of a population parameter and can be computed from the sample.

Here, the sample is 104 children,

For which the average number of hours of sleep per night was 9.46 hours,

∵ 9.46 is the number that can be computed from the sample of 97 children.

Hence, the number 9.46 is a Statistic

5 0

2 years ago