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Mathematics

1 answer:

dsp732 years ago

6 0

Step-by-step explanation:

in two no. question what is in the power of X is that 3 or 5

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Which of the following expressions is equal to 1 divided by 16

Ber [7]

The correct answer is: [A]: " ( $\frac{1}{2}$ )⁴ " .
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Note: ( $\frac{1}{2}$ )⁴ = $\frac{1^{4} }{2^{4} }$ ;

= $\frac{1*1*1*1}{2*2*2*2}$ ;

= $\frac{1}{16}$ .
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Consider "Choice [B]" : "( $\frac{1}{2}$ )⁴ " ;

Note: ( $\frac{1}{4}$ )⁴ = $\frac{1^{4} }{4^{4} }$ ;

= $\frac{1*1*1*1}{4*4*4*4}$ ;

= $\frac{1}{256}$ .

Note that: " $\frac{1}{256}$ " $\neq$ " $\frac{1}{16}$ " .
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Consider "Choice [C]" : "( $\frac{1}{8}$ )² " ;

Note: ( $\frac{1}{8}$ )² = $\frac{1^{2} }{8^{2} }$ ;

= $\frac{1*1}{8*8}$ ;

= $\frac{1}{64}$ .

Note that: " $\frac{1}{64}$ " $\neq$ " $\frac{1}{16}$ " .
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→ As such, the only correct answer choice is:
__________________________________________________________
Answer choice: [A]: " ( $\frac{1}{2}$ )⁴ " .
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6 0

4 years ago

If y=3x^3-2x and (dx)/(dy) = 3, find (dy)/(dt) when x=-2

lesya692 [45]

Answer:

dy/dx = 9x²+2

dy = (9x²+2) dx

dy/dt = (9x²+2) dx/dt

if x = 2 and dx/dt=5 then

dy/dt = (9*2²+2)*5 = 38*5 = 190

4 0

3 years ago