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2 years ago

What is the smallest whole number that can be multiplied by 300 such that the product is a perfect cube?

Mathematics

2 answers:

kicyunya [14]2 years ago

7 0

The smallest whole number that can be multiplied by 300 so that the product is a perfect cube is 12 (I think)

Neko [114]2 years ago

5 0

300=2×2×5×5×3

We observe that 2 and 5 are grouped in pairs and the 3 is left unpaired.

If we multiply 300 by the factor 3 then

300×3=2×2×5×5×3×3

900=2×2×5×5×3×3 which is a perfect square.

∴ Required number is 3

root of 900 =30

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2 years ago

Find a1 if Sn = 89,800, r = 3.4, and n = 10. Round to the nearest hundredth if necessary.

xxMikexx [17]

Answer:

$a_1=1.04$

Step-by-step explanation:

We have a geometric sequence with:

$Sn = 89,800$ , $r = 3.4$ , and $n = 10$

Where

Sn is the sum of the sequence

r is the common ratio

$a_1$ is the first term in the sequence

n is the number of terms in the sequence

The formula to calculate the sum of a finite geometric sequence is:

$S_n=\frac{a_1(1-r^n)}{1-r}$

Then:

$89,800=\frac{a_1(1-(3.4)^{10})}{1-3.4}$

Now we solve for $a_1$

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2 years ago

Cynthia was asked to subtract 0.223 from 0.54. Which of the following is the best estimate that cynthia can make to check her an

Zigmanuir [339]

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2 years ago

What is 1/4 in the exponent of 3?

zimovet [89]

Answer:

1/4 to the 3rd power is 0.015625

Step-by-step explanation:

Im assuming that is what your asking, you worded it a little differently. When you figure out what the value of something is based on the power it is raised to, you multiply that number by itself the amount of the exponent.

1/4 x 1/4 x 1/4 = 0.015625

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2 years ago