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Alisiya [41]
3 years ago
8

Define the powers and how it is different to use a negative and positive power

Mathematics
1 answer:
lesya [120]3 years ago
7 0

Answer:

Hi here is answer hope it helps

Step-by-step explanation:

A positive exponent tells us how many times to multiply a base number, and a negative exponent tells us how many times to divide a base number.

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Help if possible.
skelet666 [1.2K]
A ) Length = 5 - 2 x
Width = 3 - 2 x
The area of the bottom:
A = L  x  W = ( 5 - 2 x ) ( 3 - 2 x ) = 15 - 10 x - 6 x + 4 x² = 
= 4 x² - 16 x + 15
b ) 4 x² - 16 x + 15 = 10
4 x² - 16 x + 5 = 0
x = (16 - √(256 - 80))/ 8 = ( 16 - 13.266 ) / 2
x = 0.34 in
4 0
3 years ago
Is 3 yards bigger than 21 feet is 21 feet bigger than 3 yards
Kipish [7]
No because 21 ft equals 7 yd
which us bigger than 3 yd
6 0
3 years ago
Read 2 more answers
Using differential calculus, maximize the volume of a box made of cardboard (top is open) as shown in Figure A. 15, subject to t
lana [24]

The maximum volume of the box is 40√(10/27) cu in.

Here we see that volume is to be maximized

The surface area of the box is 40 sq in

Since the top lid is open, the surface area will be

lb + 2lh + 2bh = 40

Now, the length is equal to the breadth.

Let them be x in

Hence,

x² + 2xh + 2xh = 40

or, 4xh = 40 - x²

or, h = 10/x - x/4

Let f(x) = volume of the box

= lbh

Hence,

f(x) = x²(10/x - x/4)

= 10x - x³/4

differentiating with respect to x and equating it to 0 gives us

f'(x) = 10 - 3x²/4 = 0

or, 3x²/4 = 10

or, x² = 40/3

Hence x will be equal to 2√(10/3)

Now to check whether this value of x will give us the max volume, we will find

f"(2√(10/3))

f"(x) = -3x/2

hence,

f"(2√(10/3)) = -3√(10/3)

Since the above value is negative, volume is maximum for x = 2√(10/3)

Hence volume

= 10 X 2√(10/3)  -  [2√(10/3)]³/4

= 2√(10/3) [10 - 10/3]

= 2√(10/3) X 20/3

= 40√(10/27) cu in

To learn more about Maximization visit

brainly.com/question/14682292

#SPJ4

Complete Question

(Image Attached)

3 0
1 year ago
Use the following to answer questions 7-9:
seropon [69]

Answer:the third one .38x+2.59

Step-by-step explanation:

No amount of donuts yet so that’s why it’s x and there’s a regular fee of 2.59 so that’s why it’s the answer

7 0
3 years ago
Min is twice as tall as her brother . If min is 5feet 3 inches tall how tall is her brother
liubo4ka [24]
5’3 is 63 inches since her brother is 1/3 larger so 63/3= 21 inches
3 0
3 years ago
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