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Veseljchak [2.6K]
3 years ago
9

Are these right? HELP PLEASE !!

Mathematics
2 answers:
MakcuM [25]3 years ago
4 0

Answer:

No

The second one is distribution, they distributed the -3 to inside the parenthesis.

Step-by-step explanation:

tino4ka555 [31]3 years ago
4 0
The second one isn’t correct .
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The volume of a cube is given by the expression 3 and its surface area is given by the expression 62, where s is the length of t
Zigmanuir [339]
V=s³
SA=6s²



sub 2 for s
V=2³=8 cubic inches
SA=6(2²)=6(4)=24 square inches
8 0
3 years ago
[10 points] A manufacturer wants to design an open box having a square base and a surface area of 108 square inches. What dimens
MissTica

Answer:

  6 inches square by 3 inches high

Step-by-step explanation:

For a given surface area, the volume of an open-top box is maximized when it has the shape of half a cube. If the area were than of the whole cube, it would be 216 in² = 6×36 in².

That is, the bottom is 6 inches square, and the sides are 3 inches high.

_____

Let x and h represent the base edge length and box height, respectively. Then we have ...

  x² +4xh = 108 . . . . box surface area

Solving for height, we get ...

  h = (108 -x²)/(4x) = 27/x -x/4

The volume is the product of base area and height, so is ...

  V = x²h = x²(27/x -x/4) = 27x -x³/4

We want to maximize the volume, so we want to set its derivative to zero.

  dV/dx = 0 = 27 -(3/4)x²

  x² = (4/3)(27) = 36

  x = 6

  h = 108/x² = 3

The box is 6 inches square and 3 inches high.

_____

<em>Comment on maximum volume, minimum area</em>

In the general case of<em> an open-top box</em>, the volume is maximized when the cost of the bottom and the cost of each pair of opposite sides is the same. Here, the "cost" is simply the area, so the area of the bottom is 1/3 the total area, 36 in².

If the box has a <em>closed top</em>, then each pair of opposite sides will have the same cost for a maximum-volume box. If costs are uniform, the box is a cube.

7 0
2 years ago
-6d - (c - d)^2 ; if c = 7 and d = 4
irina1246 [14]

Answer:

-6d - (c - d)^2 = -33

Step-by-step explanation:

-6(4) - (3)^2 =

-24 - 9 =

-33

7 0
3 years ago
6
Dominik [7]

Answer:

1140

Step-by-step explanation:

A decagon has 10 sides so substitute it like this:

(n-2) x 180

(10-2) x 180

8 x 180= 1140

6 0
2 years ago
New York State’s "Quick Draw" lottery moves right along. Players choose between one and ten numbers from the range 1 to 80; 20 w
Mrac [35]

Answer:

The Answer is 0,133484. The same number as (60/80)^7 or 0.75^7

Step-by-step explanation:

If the probability of an event occurring is <em>p</em>, then the probability of an event not occurring is <em>1-p</em>. Therefore if Lester plays one number, then the probability of that number not winning is 1-\frac{20}{80} or 1-0.25, which is \frac{60}{80} or 0.75

\\Two or more events are independent if the occurrence of one does not affect the probability of occurrence of the other. In Lester's game, the probability of a number winning or not winning does not affect the probability of the same number winning or not winning in the next game.

\\In order to find the probability of several events occurring in succession, we multiply the probabilities of the individual events.

\\Therefore if Lester plays one number seven times, the probability that all seven bets lose are (60/80)^7 or 0.75^7

5 0
3 years ago
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