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-BARSIC- [3]
2 years ago
6

A cube has a volume of 512 mm^3. If all sides of the cube are divided by 4, what will the resulting volume be?

Mathematics
1 answer:
pshichka [43]2 years ago
3 0
\bf \textit{volume of a cube}\\\\
V=s^3\qquad \boxed{s=\frac{s}{4}}\implies V=\left( \cfrac{s}{4} \right)^3\implies V=\cfrac{s^3}{4^3}\implies V=s^3\cdot \cfrac{1}{4^3}
\\\\\\
V=s^3\cdot \cfrac{1}{64}\impliedby \frac{1}{64}\textit{ of the original volume, if the original was 512}
\\\\\\
512\cdot \cfrac{1}{64}\implies \cfrac{512}{64}
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Which equation is represented by the graph below?
Stels [109]

Answer:

y= - 1/2 +2

Step-by-step explanation:

One, the slope is negative, so you can cross some answers out right off the bat. Other than that, the answer is not a whole because it's not that steep. If you use RISE/RUN you can tell its a -1/2. Plus, the y-intercept is 2!

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2 years ago
Find the size of the angle marked a and b on the diagram
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Answer:

Step-by-step explanation:

we know that the total angles around the big triangle are 180° so,  we know the right angle is 90° and we are told that one of the angles is 52° so just find the last angle by

180 = 90 + 52 + X

180 - 90 - 52 = X

38 = X

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5 0
2 years ago
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Matter is in a liquid state when its temperature is between its melting point and its boiling point. Suppose that some substance
a_sh-v [17]

Answer:

i. When the temperature is above 616.712^{o}F, it changes to gas.

ii. When the temperature is below -33.052^{o}F, it changes to solid.

Step-by-step explanation:

Matter generally exists in either a solid, liquid or gaseous form. With each phase having a certain range of temperature.

Temperature scale of a given substance can be either in Celsius, Fahrenheit or Kelvin. And conversion from one scale to another can be achieved. Example, Celsius scale can be converted to Fahrenheit by:

F = \frac{9}{5} θ + 32

where: F is the equivalent temperature in Fahrenheit, θ is the value of temperature in degree Celsius.

Given that: melting point of the substance = -36.14^{o}C

⇒ F =  \frac{9}{5} x -36.14^{o} + 32

      = -33.052^{o}F

The boiling point = 324.84^{o}C

F =  \frac{9}{5} x  324.84^{o} + 32

  = 616.712^{o}F

The melting point of the substance is -33.052^{o}F, and boiling point is 616.712^{o}F.

Therefore, the range of temperatures for which the substance is not in a liquid state are:

i. When the temperature is above 616.712^{o}F, it changes to gas.

ii. When the temperature is below -33.052^{o}F, it changes to solid.

3 0
3 years ago
, list the first five terms of each sequence.<br> f(n + 1) = −2f(n) + 8 and f(1) = 1 for n ≥ 1
svet-max [94.6K]

Answer: 1, 7, 1, 7, 1.

Step-by-step explanation:

The given function :  f(n+1)=-2f(n)+8 and  f(1) = 1 for n ≥ 1

We put value of n=1,2,3,4 , we get

For n=1  , f(2)=f(1+1)=-2f(1)+8=-1(1)+8=-1+8=7

For n=2  , f(3)=f(2+1)=-2f(2)+8=-1(7)+8=1

For n=3  , f(4)=f(3+1)=-2f(3)+8=-1(1)+8=7

For n=4  , f(5)=f(4+1)=-2f(4)+8=-1(7)+8=1

Hence, the  first five terms of the given sequence are 1, 7, 1, 7, 1.

7 0
3 years ago
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gavmur [86]

Answer:

5.5

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1, 2, 5, 5, 6, 8, 9, 9

5+6=11

11 divided by 2= 5.5

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3 years ago
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