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morpeh [17]
3 years ago
12

9 is what percent of 50

Mathematics
1 answer:
il63 [147K]3 years ago
3 0

Answer:

18

Step-by-step explanation:

9/50=18/100

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How to differentiate y=x^n using the first principle. In this question, I cannot use the rule of differentiation. I have to do t
Zarrin [17]

By first principles, the derivative is

\displaystyle\lim_{h\to0}\frac{(x+h)^n-x^n}h

Use the binomial theorem to expand the numerator:

(x+h)^n=\displaystyle\sum_{i=0}^n\binom nix^{n-i}h^i=\binom n0x^n+\binom n1x^{n-1}h+\cdots+\binom nnh^n

(x+h)^n=x^n+nx^{n-1}h+\dfrac{n(n-1)}2x^{n-2}h^2+\cdots+nxh^{n-1}+h^n

where

\dbinom nk=\dfrac{n!}{k!(n-k)!}

The first term is eliminated, and the limit is

\displaystyle\lim_{h\to0}\frac{nx^{n-1}h+\dfrac{n(n-1)}2x^{n-2}h^2+\cdots+nxh^{n-1}+h^n}h

A power of h in every term of the numerator cancels with h in the denominator:

\displaystyle\lim_{h\to0}\left(nx^{n-1}+\dfrac{n(n-1)}2x^{n-2}h+\cdots+nxh^{n-2}+h^{n-1}\right)

Finally, each term containing h approaches 0 as h\to0, and the derivative is

y=x^n\implies y'=nx^{n-1}

4 0
3 years ago
Floretta, a pitcher, claims that her pitch speed is less than 46 miles per hour, on average. Several of her teammates do not bel
jeka94
To be honest I don’t know I just need points
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2 years ago
Identify the y-intercept of the following line: <br> y=3x-5
Cerrena [4.2K]
Y intercept is -5....
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3 years ago
Help please :( ASAP don’t do wrong answers
lukranit [14]

Answer:

D. 140

Step-by-step explanation:

volume equals length times width times height 7 times 4 times 5 equals 140 good luck

8 0
3 years ago
Help please ASAP please I’ll mark you as brainlister
storchak [24]

Answer:

a = 4

Step-by-step explanation:

\sin(theta)  =  \frac{opposite}{hypotenuse}

\cos(theta)  =  \frac{adjacent}{hypotenuse}

\tan(theta)  =  \frac{opposite}{adjacent}

hypotenuse = a

opposite = 2√3

adjacent = b

theta = 60°

the best formula to use is the first formula cause we have all the values to substitute in it in order to find the value of a

\sin(60)  =  \frac{2 \sqrt{3} }{a}

\frac{2 \sqrt{3} }{ \sin(60) }  = a

4 = a

a = 4

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