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polet [3.4K]
3 years ago
12

A certain medication comes in the form of a capsule, as

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
3 0

Answer:

V= 103.9 mm^3 and 72.7 mg

Step-by-step explanation:

Reasons

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Jenn buys 4 balls of yarn for a total of $23.78. She pays with two $20 bills. What is her change?
tamaranim1 [39]
Her change will be $16.22 since 20 +20 is 40 and 40 - 23.78 is 16.22
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3 years ago
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Figure 3<br> 2n + 10<br> 140<br> 4n -40<br> 80<br> 2n<br> 3n - 20<br> I need help
abruzzese [7]

Answer:

2n +10= 140

4n- 40= 80

2n= 3n - 20

Step-by-step explanation:

it is the am progression or sum progression

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2 years ago
What is 31 billion in scientific notation? <br><br> explain clearly &lt;3 :D
MArishka [77]

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3.1*10^10

Step-by-step explanation:

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3 years ago
Derivative of<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B3x%7D%5E%7B2%7D%20-%202x%20-%201%20%7D%7B%20%7Bx%7D%5E%7B2
Anastaziya [24]

Answer:

\displaystyle  \frac{dy}{dx} =    \frac{2x + 2}{x^3}

Step-by-step explanation:

we would like to figure out the derivative of the following:

\displaystyle  \frac{ { 3x }^{2} - 2x - 1 }{ {x}^{2} }

to do so, let,

\displaystyle y =  \frac{ { 3x }^{2} - 2x - 1 }{ {x}^{2} }

By simplifying we acquire:

\displaystyle y =  3 -  \frac{2}{x}  -  \frac{1}{ {x}^{2} }

use law of exponent which yields:

\displaystyle y =  3 -  2 {x}^{ - 1}  -   { {x}^{  - 2} }

take derivative in both sides:

\displaystyle  \frac{dy}{dx} =  \frac{d}{dx}  (3 -  2 {x}^{ - 1}  -   { {x}^{  - 2} } )

use sum derivation rule which yields:

\rm\displaystyle  \frac{dy}{dx} =  \frac{d}{dx}  3 -   \frac{d}{dx} 2 {x}^{ - 1}  -     \frac{d}{dx} {x}^{  - 2}

By constant derivation we acquire:

\rm\displaystyle  \frac{dy}{dx} =  0 -   \frac{d}{dx} 2 {x}^{ - 1}  -     \frac{d}{dx} {x}^{  - 2}

use exponent rule of derivation which yields:

\rm\displaystyle  \frac{dy}{dx} =  0 -   ( - 2 {x}^{ - 1 -1} ) -     ( - 2 {x}^{  - 2 - 1} )

simplify exponent:

\rm\displaystyle  \frac{dy}{dx} =  0 -   ( - 2 {x}^{ -2} ) -     ( - 2 {x}^{  - 3} )

two negatives make positive so,

\displaystyle  \frac{dy}{dx} =   2 {x}^{ -2} +      2 {x}^{  - 3}

<h3>further simplification if needed:</h3>

by law of exponent we acquire:

\displaystyle  \frac{dy}{dx} =   \frac{2 }{x^2}+       \frac{2}{x^3}

simplify addition:

\displaystyle  \frac{dy}{dx} =    \frac{2x + 2}{x^3}

and we are done!

5 0
3 years ago
50 POINTS!!!! PLEASE HELP!!!!!
GaryK [48]

Answer:

First: D

Second: C

Third: E

Fourth: A

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3 years ago
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