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Fudgin [204]
4 years ago
15

All answers please(ALL)

Mathematics
1 answer:
astraxan [27]4 years ago
6 0

A.13

B. 35

C. -6

D. -3

E. -1

F. -.75

Solve for the equation or problem.

A. 8

B. 4

C. 1

Add together al variable terms with the same variables.

1. -4x+10

2. 21t-10s+5r-10

Hope this helps!

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Sea level is the average level of the sea between high and low tide. It is used as a reference point for measuring elevation, or
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A wooden log 10 meters long is leaning against a vertical wall with its other end on the ground. The top end of the log is slidi
Andre45 [30]

Answer:

Step-by-step explanation:

This is a related rates problem from calculus using implicit differentiation. The main equation is Pythagorean's Theorem. Basically, what we are looking for is \frac{dx}{dt} when y = 6 and \frac{dy}{dt}=-2.

The equation for Pythagorean's Theorem is

x^2+y^2=c^2 where x and y are the legs and c is the hypotenuse. The length of the hypotenuse is 10, so when we find the derivative of this function with respect to time, and using implicit differentiation, we get:

2x\frac{dx}{dt}+2y\frac{dy}{dt}=0 and divide everything by 2 to simplify:

x\frac{dx}{dt}+y\frac{dy}{dt}=0. Looking at that equation, it looks like we need a value for x, y, \frac{dx}{dt} and \frac{dy}{dt}.

Since we are looking for \frac{dx}{dt}, that can be our only unknown and everything else has to have a value. So what do we know?

If we construct a right triangle with 10 as the hypotenuse and use 6 for y, we can solve for x (which is the only unknown we have, actually). Using Pythagorean's Theorem to solve for x:

x^2+6^2=10^2 and

x^2+36=100 and

x^2=64 so

x = 8.

NOW we can fill in the derivative and solve for \frac{dx}{dt}.

Remember the derivative is

x\frac{dx}{dt}+y\frac{dy}{dt}=0 so

8\frac{dx}{dt}+6(-2)=0 and

8\frac{dx}{dt}-12=0 and

8\frac{dx}{dt}=12 so

\frac{dx}{dt}=\frac{12}{8}=\frac{6}{4}=\frac{3}{2}=1.5 m/sec

7 0
3 years ago
Help me out plssss!!!!
padilas [110]

Answer: m=6.2t, 148.8 miles

Step-by-step explanation:

to figure out the equation we do 93/15=6.2 and we make it into a equation which is m=6.2t. since we know the butterfly travels 6.2 per hour we do 6.2 x 24 = 148.8

sorry if it's wrong

4 0
3 years ago
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