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4 years ago

6

the question is “Which expression can be used to find the surface area of the following rectangular prism?” I NEED HELP ASAP PLE

ASE SOME ONE HELP !!!

1 answer:

suter [353]4 years ago

7 0

The answer is D, you do everything two times

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A four digit password is a number that begins with a 3. If digits can be repeated how many possible passwords are there? show an

xxTIMURxx [149]

Answer:

The answer is 1,000

SInce the beginning number is 3 and there are ten possible numbers to put in the remaining three slots, there are exactly 1,000 possible combinations for a 3-digit code. The answer is 1,000. There are 3 rows of 10 digits. The number of combinations 10 to the thid power which is 1000 (10 * 10 * 10)

5 0

3 years ago

A box with a square base and open top must have a volume of 157216 cm3. We wish to find the dimensions of the box that minimize

shepuryov [24]

Answer:

Base Length of 68cm
Height of 34 cm.

Step-by-step explanation:

Given a box with a square base and an open top which must have a volume of 157216 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 $=x^2h=157216$

$h=\dfrac{157216}{x^2}$

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

$A(x,h)=x^2+4xh\\$Substitute h=\dfrac{157216}{x^2}\\A(x)=x^2+4x\left(\dfrac{157216}{x^2}\right)\\A(x)=\dfrac{x^3+628864}{x}$

Step 2: Find the derivative of A(x)

$If\:A(x)=\dfrac{x^3+628864}{x}\\A'(x)=\dfrac{2x^3-628864}{x^2}$

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

$A'(x)=\dfrac{2x^3-628864}{x^2}=0\\2x^3-628864=0\\2x^3=628864\\x^3=314432\\x=\sqrt[3]{314432}\\ x=68$

Step 4: Verify that x=68 is a minimum value

We use the second derivative test

$If\:A(x)=\dfrac{x^3+628864}{x}\\A''(x)=\dfrac{2x^3+1257728}{x^3}\\$When x=68\\A''(x)=6$

Since the second derivative is positive at x=68, then it is a minimum point.

Recall:

$h=\dfrac{157216}{x^2}\\h=\dfrac{157216}{68^2}=34$

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

Base Length of 68cm
Height of 34 cm.

3 0

3 years ago

September 2016 gp hyperbole Question 4

zvonat [6]

Answer:

Step-by-step explanation:

gfdcvbjhuytrdfhgr5tgvtyfjygygu

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3 years ago

A car is going 50 miles per hour. A rate that describes this would have units of

ANTONII [103]

Answer:

A, I believe.

Step-by-step explanation:

it says both miles and hours are included

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3 years ago

morpeh [17]

Answer:

16820.16 dollar.

Step-by-step explanation:

future =present value *(1+i)^n

n=1 year.

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2 years ago