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3 years ago

Work out 10.3 % of 853.93 km Give your answer rounded to 2 DP.

Mathematics

1 answer:

Vilka [71]3 years ago

7 0

Answer: 87.95

Step-by-step explanation: 10.3% of 853.93

10.3%= 0.103

So you would do 0.103 times 853.93=87.95479 round that to 2 Dp. You get 87.95

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Write the equation through (2,5) parallel to the line through (8,0) and (0,8)

klio [65]

Answer:

y = -x + 7

Step-by-step explanation:

As we move from (8, 0) to (0, 8), we see x decreasing by 8 ('rise') and y increasing by 8 ('run'). Thus, the slope of this line is m = rise/run = 8/(-8) = -1.

Starting from y = mx + b and substituting 8 for x, 0 for y and -1 for m, we get:

0 = -1(8) + b, or b = 8

Then the equation of the line through the two given points is y = -x + 8. Any line parallel to this one has the same slope: m = -1.

Repeat the above work to find the y-intercept of the line parallel to y = -x + 8 that goes through (2, 5):

5 = -2 + b, or b = 7

Then the desired line (final answer) is y = -x + 7

6 0

2 years ago

Find dy/dx for 4 - xy = y^3

storchak [24]

Answer:

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

Step-by-step explanation:

4-xy=y^3

dy/dx=?

$\frac{d(4-xy)}{dx}=\frac{d(y^3)}{dx}\\ \frac{d(4)}{dx}-\frac{d(xy)}{dx}=3y^{3-1}\frac{dy}{dx}\\ 0-(\frac{dx}{dx}y+x\frac{dy}{dx})=3y^2\frac{dy}{dx}\\ -(1y+x\frac{dy}{dx})=3y^2\frac{dy}{dx}\\ -(y+x\frac{dy}{dx})=3y^2\frac{dy}{dx}\\ -y-x\frac{dy}{dx}=3y^2\frac{dy}{dx}$

Solving for dy/dx: Addind x dy/dx both sides of the equation:

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

Common factor dy/dx on the right side of the equation:

$-y=(3y^2+x)\frac{dy}{dx}$

Dividing both sides of the equation by 3y^2+x:

$\frac{-y}{3y^2+x}=\frac{(3y^2+x)}{3y^2+x}\frac{dy}{dx}\\ -\frac{y}{3y^2+x}=\frac{dy}{dx}\\ \frac{dy}{dx}=-\frac{y}{3y^2+x}$

7 0

3 years ago

If n is divided by 7 the remainder is 3. What is the remainder if 3n is divided by 7?

Keith_Richards [23]

So, if n Divided by 7 = 3 , then n must be 21, because if you do 3 x 7 it equals 21, so now we know n is 21, then that means its 3 x 21 divided by 7 which is 9. Hope i helped ^-^

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3 years ago

Please help me quick!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Tju [1.3M]

Answer:

12,9,8

Step-by-step explanation:

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3 years ago

What is 15% of 375?

lesya [120]

15% * 375 = 0.15*375 = 15*375/100=56.25