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3 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]3 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]3 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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Andy and Christopher are measuring a liquid solution using graduated cylinders, Andy uses 3.5 liters of the liquid solution, and

Gre4nikov [31]

Answer:

$Ratio = 0.74$

Step-by-step explanation:

Represent

- Andy with A

- Christopher with C

$A = 3.5L$

$C = 2580mL$

Required

Determine the ratio of C to A

Ratio is represented as thus:

$Ratio = C:A$

Rewrite as fraction

$Ratio = \frac{C}{A}$

This gives

$Ratio = \frac{2580mL}{3.5L}$

Convert L to mL

$Ratio = \frac{2580mL}{3.5*1000mL}$

$Ratio = \frac{2580mL}{3500mL}$

$Ratio = \frac{2580}{3500}$

$Ratio = 0.73714285714$

$Ratio = 0.74$ --- Approximated

6 0

3 years ago

Which of the following points are more than 5 units from the point P(−2, −2)? Select all that apply. A A (2, 1) B B (4, −1) C C

netineya [11]

The distance between any 2 points P(a,b) and Q(c,d) in the coordinate plane, is given by the formula:<span>

<span> $|PQ|= \sqrt{ (a-c)^{2} + (b-d)^{2}}$ </span></span>

Using this formula we calculate the distances |PA|, |PB|, |PC|, |PD| and |PE| and compare to 5.

$|PA|= \sqrt{ (-2-2)^{2} + (-2-1)^{2}}= \sqrt{16+9}= \sqrt{25}=5$

$|PB|= \sqrt{ (-2-4)^{2} + (-2+1)^{2}}= \sqrt{36+1}= \sqrt{37} \approx 6$

$|PC|= \sqrt{ (-2-2)^{2} + (-2+3)^{2}}= \sqrt{16+1}= \sqrt{17}\approx4$

$|PD|= \sqrt{ (-2+6)^{2} + (-2+6)^{2}}= \sqrt{16+16}= \sqrt{32}\ \textgreater \ \sqrt{25}=5$

$|PE|= \sqrt{ (-2+5)^{2} + (-2-1)^{2}}= \sqrt{9+9}= \sqrt{16}=4$

Answer: B and D

3 0

3 years ago

Find two numbers the exact answer is between 8×684

ollegr [7]

8 * 684 = 5472

it is in between 5471 and 5473

8 0

3 years ago

Write the equation in slope-intercept form of a line with slope -2 that passes through the point (1.-7)

tiny-mole [99]

Answer:

y=-2x-5

Step-by-step explanation:

y-y1=m(x-x1)

y-(-7)=-2(x-1)

y+7=-2x+2

y=-2x+2-7

y=-2x-5

6 0

3 years ago

he commercial division of a real estate firm is conducting a regression analysis of the relationship between , annual gross rent

blondinia [14]

Answer:

Number of apartment = 9

Step-by-step explanation:

Given the ANOVA result :

ANOVA ____ df ____ SS

Regression __ 1 ___ 41587.1

Residual ____ 7 ___

Total _______ 8 __ 51984.5

Number of apartment building in sample (n) :

Degree of freedom (df) = n - 1

The degree of freedom = total = 8

Hence,

8 = n - 1

8 + 1 = n - 1 + 1

9 = n

Hence, number of apartment building in sample = 9

4 0

3 years ago