Time out = d/so = d/523
time back = d/sb = d/415

t = time out + time back
11 = d/523 + d/415 find common deneminator
11 = (415d + 523d)/(523*415)
11*523*415 = 415d + 523d
2387495 = 938d
d = 2545 miles

hope this help

6 0

2 years ago

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Find the linear approximation of the function f(x, y, z) = x2 + y2 + z2 at (4, 4, 7) and use it to approximate the number 4.022

miss Akunina [59]

Answer:

80.66

Step-by-step explanation:

$L\left( x \right) = f\left( a \right) + f'\left( a \right)\left( {x - a} \right)$

$f(x, y, z) = x^2+y^2+z^2$

Since we have three variables,

$L(x, y,z) = f(a, b,c) + f_x (a, b,c) (x - a) + f_y (a, b,c) (y - b) +f_z(a,b,c)(z-c)$

$f(4, 4, 7) = 4^2+4^2+7^2=81$

$f_x (a, b,c)=2x=2*4=8\\f_y (a, b,c)=2y=2*4=8\\ f_z(a,b,c)=2z=2*7=14$

Therefore:

$L(x, y,z) = 81+ 8(x - 4) + 8 (y - 4) +14(z-7)$

Using the above:

f(4.02, 3.99, 6.97) =81+ 8(4.02 - 4) + 8 (3.99 - 4) +14(6.97-7)=80.66.

The approximation of $4.02^2 + 3.99^2 + 6.97^2$ is 80.66000.

3 0

3 years ago

I needs help pleaeee

Verdich [7]

X=24

First you find the third side of the smaller triangle by using the Pythagorean theorem. You find that is it 100. Then you subtract that from 26 squared. After you get that, you square root the answer to get 24

7 0

2 years ago

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The table shows the number of tickets sold and the profit made at a fundraiser.

Y_Kistochka [10]

Answer:

This is pretty simple, it tells you that two tickets are worth $18, to figure out how much one would cost you just divide 18/2 and that would equal $9. So Your answer would be Each ticket sold yields $9 of profit.

Here, Let, Number of Ticket = x

Sold profit = y

Then, relation would be: 18/2 = 9

y = 9x

In short, Your Answer would be Option B) "Each ticket sold yields $9 of profit"

Hope this helps!

6 0

3 years ago

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