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irina1246 [14]
3 years ago
8

Start at 5. create a pattern that multiplies each number by 5. stop when you 5 numbers

Mathematics
1 answer:
MAXImum [283]3 years ago
8 0
5, 10, 15, 20, 25 that is the answer to ur problem hope it right!
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An open box is to be made from a 3 ft by 8 ft rectangular piece of sheet metal by cutting out squares of equal size from the fou
Burka [1]

Answer:

Maximum volume of the box will be 7.41 cubic feet.

Step-by-step explanation:

Open box has been made from a metal sheet measuring 3 ft and 8 ft.

Let four square pieces were removed from the four corners with one side measurement x ft.

Volume of the open box = Length × width × height

Length of the box = (3 - 2x) ft

Width of the box = (8 - 2x) ft

Height of the box = x ft

Volume of the box = (3 - 2x)(8 - 2x)x

V = (24 - 6x - 16x + 4x²)x

V = 24x - 22x² + 4x³

Now we take the derivative of V with respect to x and equate the derivative to zero,

\frac{d}{dx}(V)=\frac{d}{dx}(24x - 22x^{2}+4x^{3})

V' = 24 - 44x + 12x²

V' = 0

12x² - 44x + 24 = 0

3x² - 11x + 6 = 0

3x² - 9x - 2x + 6 = 0

3x(x - 3) - 2(x - 3) = 0

(3x - 2)(x - 3) = 0

(3x - 2) = 0

and (x - 3) = 0

Therefore, x = 3, \frac{2}{3}

For x = 0.67

Length of the box = (3 - 2x) = 3 - 1.34

                              = 1.66 ft

Width of the box = (8 - 2x) = 8 - 1.34

                            = 6.66 ft

Volume of the box = 0.67 × 1.66 × 6.66

V = 7.41 cubic feet.

Similarly, for x = 3,

Length of the box = (3 - 2\times 3) = -3

which is negative but the length of the box can not be negative.

Therefore, maximum volume of the box will be 7.41 cubic feet.

6 0
3 years ago
is this correct?: data can be arranged in visual displays called _graphs_ to make identifying trends easier. (or would it be bar
andrew-mc [135]
<span>This is correct. Data visualisation is done through the creation of graphs, which are simply visual representations of data that show relationships between variables. Bar graphs are a particular type of graph. Others include scatter graphs, line graphs and pie charts.</span>
4 0
3 years ago
What is the value of x?<br> O 40<br> O 70<br> O 140<br> O 160
kodGreya [7K]
The answer is 70 degrees
4 0
3 years ago
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A 650-pund snowmobile trailer is sitting on an exit ramp inclined at 40 degrees
Dima020 [189]
Um what. This doesn’t make sense. Your not even asking a question
6 0
3 years ago
Aight ok so if i got two ducks and and i take one how munch is left
vichka [17]

Answer:

1

Step-by-step explanation:

5 0
3 years ago
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