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2 years ago

Part A

Mathematics

2 answers:

Diano4ka-milaya [45]2 years ago

5 0

Answer:

24 Blue beads

16 Green beads

Step-by-step explanation:

.60×40=24

.40 ×40=16

Whenever you get a percentage move the decimal two places left and multiply by the total number.

example: 2% of 20 is 2.00 of 20, so move the decimal 2 spots to the left. .002×20=.04

Daniel [21]2 years ago

4 0

Answer (Part 1): 16 blue beads

Explanation: 40 x 0.6 = 16 ; 0.6 is equal to 60% *just in decimal form

Answer (Part 2): 24 green beads

Explanation: 40 x 0.4 = 24 ; 0.4 is equal to 40% *just in decimal form

(Hope this helps! and please mark as Brainliest!)

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svet-max [94.6K]

Sent a picture of the solution to the problem (s).

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3 years ago

A box with a square base and open top must have a volume of 296352 c m 3 . We wish to find the dimensions of the box that minimi

mestny [16]

Answer:

Base Length of 84cm
Height of 42 cm.

Step-by-step explanation:

Given a box with a square base and an open top which must have a volume of 296352 cubic centimetre. We want to minimize the amount of material used.

Step 1:

Let the side length of the base =x

Let the height of the box =h

Since the box has a square base

Volume, $V=x^2h=296352$

$h=\dfrac{296352}{x^2}$

Surface Area of the box = Base Area + Area of 4 sides

$A(x,h)=x^2+4xh\\$Substitute h=\dfrac{296352}{x^2}\\A(x)=x^2+4x\left(\dfrac{296352}{x^2}\right)\\A(x)=\dfrac{x^3+1185408}{x}$

Step 2: Find the derivative of A(x)

$If\:A(x)=\dfrac{x^3+1185408}{x}\\A'(x)=\dfrac{2x^3-1185408}{x^2}$

Step 3: Set A'(x)=0 and solve for x

$A'(x)=\dfrac{2x^3-1185408}{x^2}=0\\2x^3-1185408=0\\2x^3=1185408\\$Divide both sides by 2\\x^3=592704\\$Take the cube root of both sides\\x=\sqrt[3]{592704}\\x=84$

Step 4: Verify that x=84 is a minimum value

We use the second derivative test

$A''(x)=\dfrac{2x^3+2370816}{x^3}\\$When x=84$\\A''(x)=6$

Since the second derivative is positive at x=84, then it is a minimum point.

Recall:

$h=\dfrac{296352}{x^2}=\dfrac{296352}{84^2}=42$

Therefore, the dimensions that minimizes the box surface area are:

Base Length of 84cm
Height of 42 cm.

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2 years ago

JUST (No.3) PLEASE! NOT (No.2)

Eva8 [605]

B)Emily either switched the signs for no reason or solved it in the incorrect order

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3 years ago

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zaharov [31]

Answer:

ans: -4( x-3 )( x-4 ) I.e -4( x² + x - 12 )

Step-by-step explanation:

as per question

1- (2x-7)²

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3 years ago

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Answer:

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Step-by-step explanation:

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2 years ago