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3 years ago

A solid silver spoon has a mass of 65.1g.

Mathematics

1 answer:

Keith_Richards [23]3 years ago

3 0

Answer:

D=M/V

D=65.1/6.2

Density is 10.5 grams per centimetre cube

Step-by-step explanation:

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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

HELP! I NEED MATH HELP!

valkas [14]

Answer choice B is most correct. For answer a, there would be less visitors the more it rains. For b, the more the item costs, the more sales tax you pay. For answer c, the more people seated at a table, the less space per person. And for answer d, the more cats, the less mice there would be.

8 0

4 years ago

PLEASE HELP MEEEEEEEEE

nasty-shy [4]

Answer:

Step-by-step explanation:

The chances of the first student walking to school is 7/30.

Without replacement, there are 29 students left. Hence the chance of the second student walking to school is 6/29 of the original 7/30 chance.

$(\frac{7}{30} )(\frac{6}{29} )=\frac{7}{145}$