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3 years ago

Simplify. Rewrite the expression in the form k⋅y^n. (2y^4)^3

Mathematics

1 answer:

N76 [4]3 years ago

5 0

Answer:

The answer is

Step-by-step explanation:

(2y⁴)³

Using the rules of indices

That's

So for the above expression we have

<h3> $( {2y^{4} })^{3} = {2}^{3} . {y}^{4 \times 3}$ </h3>

Simplify

We have the final answer as

Hope this helps you

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mindy bought five eights of almonds and three forths of walnuts witch pair of fractions cannot be used to find how many pounds o

ss7ja [257]

Answer:

Step-by-step explanation:

I'M TELLING U THE ANSWER IS 9

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2 years ago

Given P space equals space P subscript 0 space plus space rho g h, your objective is to determine the uncertainty of P by measur

son4ous [18]

Answer:

the g's contributing term for the overall uncertainty of P is $dP_g = [\frac{dg}{g}]$

Step-by-step explanation:

From the question we are told that

The pressure is $P = P_o + \rho gh$

The first step in determining the uncertainty of P in by obtaining the terms in the equation contributing to it uncertainty and to do that we take the Ln of both sides of the equation

$ln P = lnP_o + ln(\rho gh )$

=> $ln P = lnP_o + ln \rho + ln g + ln h$

Then the next step is to differentiate both sides of the equation

$\frac{d(ln P)}{dP} = \frac{d(ln P_o)}{dP_o} + \frac{d(ln \rho)}{d\rho} +\frac{d(ln g)}{dg} + \frac{d(ln h)}{dh}$

=> $\frac{dP}{P} = \frac{dP_o}{P_o} + \frac{d \rho}{\rho} +\frac{d g}{g} + \frac{d h}{h}$

We asked to obtain the contribution of the term g to the uncertainty of P

This can deduced from the above equation as

$dP_g = [\frac{dg}{g}] P$

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3 years ago

Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x, y) = 9 sin(xy), (0, 8)

malfutka [58]

Answer:

The magnitude is $\Delta f(0,8) = 72$

The direction is $i$ i.e toward the x-axis

Step-by-step explanation:

From the question we are told that

The function is $f(x, y) = 9sin(xy) \ \ \$

The point considered is $(0,8 )$

Generally the maximum rate of change of f at the given point and the direction is mathematically represented as

$\Delta f(x,y) = [\frac{\delta f(x,y)}{\delta x } i + \frac{\delta f(x,y)}{\delta y } j ]$

$\Delta f(x,y) = [\frac{\delta (9sin(xy))}{\delta x} i + \frac{\delta (9sin(xy))}{\delta y} i ]$

$\Delta f(x,y) = [9y cos (x,y) i + 9xcos (x,y) j]$

At $(0,8 )$

$\Delta f (0,8) = [9(8) cos(0* 8)i + 9(8) sin(0* 8)j ]$

$\Delta f (0,8) = 72 i$

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2 years ago

How much water would a 8 ft by 25 ft rectangle hold

ziro4ka [17]

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2 years ago

Round 0.9998 to 3 decimal places

mojhsa [17]

The answer would be one because .9998 would round the 9 to a 10 which would round the second 9 and then the third nine to make 1

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2 years ago

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