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3 years ago

Will choose brainlist

Mathematics

1 answer:

Gekata [30.6K]3 years ago

4 0

Answer: 0.01429

Step-by-step explanation:

1.429 x $10^{-2}$

Now $10^{-2}$ is just 1/100 or 0.01, because 10^2 is 100

Now we can multiply 1.429 by 0.01 which is 1.429 x 0.01

Or the easy way, we can just place the decimal two places to the left because the power is -2, so 2 places to the left. Moving the decimal to the left makes the number smaller.

So, take 1.492 and move its decimal 2 places to the left

We get 0.01429

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If x=-3 is (x-5)(x-7)<0?

Eduardwww [97]

Answer: False

=============================

Replace every x with -3. Then simplify the left side.

(x-5)(x-7) < 0

(-3-5)(-3-7) < 0

(-8)*(-10) < 0

80 < 0 ... this statement is false, 80 is not smaller than 0

----

(x-5)(x-7) < 0 is false when x = -3

8 0

3 years ago

Shreya won 65 pieces of gum playing the bean bag toss. After giving some away she only has 35 remaining. How many does she give

Tamiku [17]

Answer:

Step-by-step explanation:

6 0

4 years ago

Read 2 more answers

What is 11/12 of a minute?

bekas [8.4K]

11/12 of a minute is 55 seconds

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3 years ago

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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.

5 0

3 years ago

Its like my 9 time on here

kari74 [83]

Answer:

B, 5 : 1

Step-by-step explanation:

Right : Wrong

10 : 2

Simplify (Divide both sides of the ratio by 2)

5 : 1

Hope this helps :)

6 0

3 years ago