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3 years ago

8

What volume of water at 4°c can be held in a cube whose edge is 3.0 cm long?

1 answer:

NeTakaya3 years ago

8 0

First density of water is 1 g/cm^3 (however changes in temperature changes it but we can ignore that)
and volume of this cube is 27 cm^3

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Using appropriate properties , find 7/5 × 5/12 − 3/12 × 7/5 − 1/15

Mazyrski [523]

Answer:

$\frac{1}{6}$

Step-by-step explanation:

$\frac{7}{5} \times \frac{5}{12} - \frac{3}{12} \times \frac{7}{5} - \frac{1}{15} = \frac{7}{5} ( \frac{5}{12} - \frac{3}{12} ) - \frac{1}{15} = \frac{7}{5} \times \frac{1}{6} - \frac{1}{15} = \frac{7}{30} - \frac{2}{30} = \frac{5}{30} = \frac{1}{6}$

8 0

2 years ago

Find the 12th term of the geometric sequence 5, -25, 125, ...5,−25,125,...

katovenus [111]

Answer:

$a_{12}=-244140625$

Step-by-step explanation:

Considering the geometric sequence

$5,-25,\:125,\:...$

$a_1=5$

As the common ratio ' $r$ ' between consecutive terms is constant.

$\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{a_{n+1}}{a_n}$

$r=\frac{-25}{5}=-5$

$r=\frac{125}{-25}=-5$

The general term of a geometric sequence is given by the formula:

$a_n=a_1\cdot \:r^{n-1}$

where $a_1$ is the initial term and $r$ the common ratio.

Putting $n = 12$ , $r = -5$ and $a_1=5$ in the general term of a geometric sequence to determine the 12th term of the sequence.

$a_n=a_1\cdot \:r^{n-1}$

$a_n=5\left(-5\right)^{n-1}$

$a_{12}=5\left(-5\right)^{12-1}$

$=5\left(-5^{11}\right)$

$\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a$

$=-5\cdot \:5^{11}$

$\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}$

$=-5^{1+11}$ ∵ $5\cdot \:5^{11}=\:5^{1+11}$

$=-244140625$

Therefore,

$a_{12}=-244140625$

6 0

3 years ago

What is the value of p?

sveta [45]

Answer:

Not C, Not A, most likely B

Step-by-step explanation:

Its less than 90 because its and acute, meaning its smaller, so you can already knock off C.

6 0

3 years ago

Read 2 more answers

A 7/16 inch long bolt is used in a machine. what is the length of the bolt written as a decimal?

mars1129 [50]

I believe it's 0.4375

7 0

3 years ago

Can anybody help me plzzzz

melisa1 [442]

SSS I’m pretty sure . I’m doing the same thing in math rn

3 0

2 years ago