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3 years ago

Write all the multiples of 6 between 50 and 100

Mathematics

1 answer:

Arturiano [62]3 years ago

6 0

54, 60, 66, 72, 78, 84, 90, 96

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If log2 5 = k, determine an expression for log32 5 in terms of k.

lukranit [14]

Answer:

$log_3_2(5)=\frac{1}{5} k$

Step-by-step explanation:

Let's start by using change of base property:

$log_b(x)=\frac{log_a(x)}{log_a(b)}$

So, for $log_2(5)$

$log_2(5)=k=\frac{log(5)}{log(2)}\hspace{10}(1)$

Now, using change of base for $log_3_2(5)$

$log_3_2(5)=\frac{log(5)}{log(32)}$

You can express $32$ as:

$2^5$

Using reduction of power property:

$log_z(x^y)=ylog_z(x)$

$log(32)=log(2^5)=5log(2)$

Therefore:

$log_3_2(5)=\frac{log(5)}{5*log(2)}=\frac{1}{5} \frac{log(5)}{log(2)}\hspace{10}(2)$

As you can see the only difference between (1) and (2) is the coefficient $\frac{1}{5}$ :

So:

$\frac{log(5)}{log(2)} =k\\$

$log_3_2(5)=\frac{1}{5} \frac{log(5)}{log(2)} =\frac{1}{5} k$

6 0

3 years ago

The planner for a company celebration bough 335 balloons. While he was inflating them, 11 balloons over inflated and burst. If h

Vlad1618 [11]

Answer:

54 balloons in each room

Step-by-step explanation: The answer is 54 because the company had 335 balloons, but then 11 exploded, so first you do 335-11=324. Lastly, you have to divide 324÷6, which gives you 54 balloons in each room

8 0

3 years ago

THE GREATEST PRODUCT

Alex17521 [72]

Answer:

Step-by-step explanation:

We have the digits 34567 and must arrange them into a product with the largest possible value.

It's clear that we must place the largest digits to the left, so they represent larger numbers to multiply.

Let's try with:

7654*3=22962

765*43=32895

76*543=41268

7*6543=45801

This last combination definitely produces the largest product

Answer: 7*6543=45801

5 0

2 years ago

34,977 ×2,344 is even are odd number

Contact [7]

Answer:

The answer to 34,977* 2,344 is 81986088. Therefore, it is an even number.

Step-by-step explanation:

6 0

2 years ago

There is a closed carton of eggs in Mai's refrigerator. The carton contains e eggs and it can hold 12 eggs. What does the inequa

den301095 [7]

Answer:

That the number of eggs (e) in the carton is less than 12

Step-by-step explanation:

7 0

2 years ago