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3 years ago

What is the volume of this box? Volume = cubic units

Mathematics

1 answer:

vodomira [7]3 years ago

7 0

Answer:

1 unit. If unit is cm, it is 1cm^3.. If unit is meter it will be 1m^3

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One more time!

CaHeK987 [17]

Since q(x) is inside p(x), find the x-value that results in q(x) = 1/4

$\frac{1}{4} = 5 - x^2\ \Rightarrow\ x^2 = 5 - \frac{1}{4}\ \Rightarrow\ x^2 = \frac{19}{4}\ \Rightarrow \\
x = \frac{\sqrt{19} }{2}$

so we conclude that
$q(\frac{\sqrt{19} }{2} ) = 1/4$

therefore

$p(1/4) = p\left( q\left(\frac{ \sqrt{19} }{2} \right) \right)$

plug $x=\sqrt{19}/2$ into p( q(x) ) to get answer

$p(1/4) = p\left( q\left( \frac{ \sqrt{19} }{2} \right) \right)\ \Rightarrow\ \dfrac{4 - \left( \frac{\sqrt{19} }{2}\right)^2 }{ \left( \frac{\sqrt{19} }{2}\right)^3 } \Rightarrow \\ \\ \dfrac{4 - \frac{19}{4} }{ \frac{19\sqrt{19} }{8}} \Rightarrow \dfrac{8\left(4 - \frac{19}{4}\right) }{ 8 \cdot \frac{19\sqrt{19} }{8}} \Rightarrow \dfrac{32 - 38}{19\sqrt{19}} \Rightarrow \dfrac{-6}{19\sqrt{19}} \cdot \frac{\sqrt{19}}{\sqrt{19}}\Rightarrow$

$\dfrac{-6\sqrt{19} }{19 \cdot 19} \\ \\ \Rightarrow -\dfrac{6\sqrt{19} }{361}$

$p(1/4) = -\dfrac{6\sqrt{19} }{361}$

3 0

3 years ago

Given the function below, what value will result in f(x)=10?<br> f(x)=1/2x+8

nignag [31]

10 = 1/2x + 8
2 = 1/2x
X = 4

5 0

3 years ago

Read 2 more answers

A ball is thrown downward from the top of a 150-foot building with an initial velocity of 23 feet per second. The height of the

ch4aika [34]

Answer:

362 the answer

Step-by-step explanation:

follow nmn i hope its help

7 0

3 years ago

2. The cost of a bicycle is * 2895. Find the cost of 1486 bicycles,

forsale [732]

Answer:

4,301,970

5,149,815

Step-by-step explanation:

The cost of a bicycle is 2895

Therefore the cost of 1486 bicycles is

= 2895×1486

= 4,301,970

A truck can carry 6785 kg of food

Therefore the amount in which 759 truckj can carry can be calculated as follows

= 6785×759

= 5,149,815

7 0

3 years ago

Cards are dealt, one at a time, from a standard 52-card deck. a if the first 2 cards are both spades, what is the probability th

ratelena [41]

So we already drew two cards and both of them are spades. So that means there are 50 cards and 11 spades left.

Then third card being spades would be 11 / 50

Now there are 10 spades and 49 cards left.
So the probability for fourth card would be 10 / 49

Fifth card would be 9 / 48.

So the probability of next three cards being spades would be
$\dfrac{11}{50}\cdot\dfrac{10}{49}\cdot\dfrac9{48}=\dfrac{33}{3920}\approx\boxed{0.00842}$

Hope this helps.

3 0

4 years ago