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4 years ago

How do i solve 3√64 times 3√8

Mathematics

2 answers:

Brums [2.3K]4 years ago

7 0

Answer:

equals 8

Step-by-step explanation:

cube root of 64 = 4 x cube root of 8 = 2

4 x 2 = 8

luda_lava [24]4 years ago

7 0

Answer:

144 $\sqrt{2}$

Step-by-step explanation:

We can simplify the product using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

simplify $\sqrt{64}$ = 8

simplify $\sqrt{8}$ = $\sqrt{4(2)}$ = $\sqrt{4}$ × $\sqrt{2}$ = 2 $\sqrt{2}$

The product can now be expressed as

3 × 8 × 3 × 2 × $\sqrt{2}$

= 144 $\sqrt{2}$

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horsena [70]

The correct answer is B

6 0

3 years ago

The amount y ( in grams) of a radioactive isotope phosphorus-32 remaining after t days is y=a(0.5)^t/14, where a is the initial

Neko [114]

Answer:

Step-by-step explanation:

The way I figured this out is to just pick some starting values for the grams of this element and plug them into the formula using t = 1 day and seeing how much is left. I chose 2 different starting amounts and came up with the same percentage each time, so it must be correct! Here's what I did:

First I chose a starting amount, a, of 10 grams. Plugging into the formula:

$y=10(.5)^{\frac{1}{14} }$

and got that the amount LEFT was 9.5 grams

Then I chose a starting amount, a, of 20 grams. Plugging into the formula:

$y=20(.5)^{\frac{1}{14}}$

and got that the amount LEFT was 19 grams.

I then asked the algebraic question,"What percent of 10 is 9.5?" which translates to

x% * 10 = 9.5 and

x = 95% (that's the amount left as a percentage).

and

x% * 20 = 19 and

x = 95%

Since both of those came out the same, that tells me that after 1 day there is still 95% of the element remaining, so 5% decays each day.

5 0

3 years ago

Can the common difference in an arithmetic sequence be negative

TiliK225 [7]

If the common difference, d , is: Positive, the sequence will progress towards infinity (+∞ ) Negative, the sequence will regress towards negative infinity (−∞ )

7 0

4 years ago

If 0.142857142857......is expressed in the form m/n, then what is the value<br>of (2m + n)?

frosja888 [35]

Answer:

The value will be: 1,285,713

Step-by-step explanation:

We have the number:

N = 0.142857...

Such that we have 6 decimals after the decimal point that repeat infinitely.

Then let's start by multiplying our number by 1,000,000 (same number of zeros as decimals after the decimal point)

Then we get:

1,000,000*N = 142,857.142857...

Now let's subtract N from both sides:

1,000,000*N - N = 142,857.142857... - 0.142857...

999,999*N = 142,857

Now let's isolate N

N = 142,857/999,999

Here is our number expressed in the form m/n, where:

m = 142,857

n = 999,999

Then the value of (2*m + n) is:

(2*142,857 + 999,999) = 1,285,713

5 0

3 years ago

16 is of 20

alisha [4.7K]

16 is 80% of 20. 80% is the same as .8. .8×20 is 16.

4 0

3 years ago