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dimulka [17.4K]
4 years ago
8

A net can be folded to form a cube. The numbers on the three faces meeting at any vertex can be multiplied together. What is the

smallest such product for the vertices of this cube

Mathematics
1 answer:
omeli [17]4 years ago
6 0
Folding this net, we will have this following pair of squares that are facing each other

the square with number 5 will face the square with number 10 = 5×10 = 50
the square with number 7 will face the square with number 6 = 7×6 = 42
the square with number 8 will face the square with number 9 = 8×9 = 72

The smallest product is 42


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Solve: x+2/x-4&lt;0<br> O _4 O -2 -2 -4
sammy [17]

Answer:

-2<x<4

Step-by-step explanation:

For \frac{x+2}{x-4} < 0, note that either the numerator or denominator is positive and the other must be negative for this inequality to be satisfied.

This means x+2>0 and x-4<0 or x+2<0 and x-4>0.

Lets look at the first scenario (x+2>0 and x-4<0)

x+2>0 and x-4<0

x>-2 and x<4

This means that -2<x<4.

Let’s look at the other scenario (x+2<0 and x-4>0)

x+2<0 and x-4>0

x<-2 and x>4

This means that x must be <-2 and >4 simualtaneously, which is impossible.

Therefore, this only occurs when -2<x<4.

I hope this helps! :)

7 0
3 years ago
Line R is represented by the equation y=x+2. Line S is perpendicular to Line R and passes through
Nata [24]

Answer:

C

Show your work:

A perpendicular line has a negative reciprocal slope so 2/3 becomes -3/2, then substitute your point (-6,4) and you get letter C

I used your picture since your Question does not match the picture.

8 0
3 years ago
When will the 1=2 thing be patched?
Nikolay [14]

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7 0
4 years ago
Read 2 more answers
If x has a continuous uniform distribution on the interval (0,5), what is the 25th percentile for x?
Natasha_Volkova [10]
Given that X\sim\mathrm{Unif}(0,5), it has PDF

f_X(x)=\begin{cases}\dfrac15&\text{for }0\le x\l5\\\\0&\text{otherwise}\end{cases}

and thus CDF

F_X(x)=\mathbb P(X\le x)=\begin{cases}0&\text{for }x

The 25th percentile is the value X=k such that \mathbb P(X\le k)=0.25. We have

\mathbb P(X\le k)=\dfrac k5=0.25\implies k=1.25
4 0
3 years ago
How to round to the naerst 10?
Blababa [14]
So, say your # was 6,234,578. you would go to the seven and look to the number next to in, so 8, and if the neighbor is 5 or bigger, you make the number, in this case a 7 an 8. Last, you make all the other #s after the one you rounded 0. So the answer would be:

6,234,570.0
3 0
3 years ago
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