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Yanka [14]
3 years ago
5

Variable definition?

Mathematics
1 answer:
kkurt [141]3 years ago
5 0
The number beside the letter . for example 6x, 6 would be the variable
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A curve passes through the point (0,7) and has the property that the slope of the curve at every point P is five times the y-coo
iren [92.7K]

Answer:

y(x) = 7e^(5x)

Step-by-step explanation:

The question says that the slope of the curve at every point P is five times the y-coordinate of P. This means that

dy/dx = 5y

Refer to solutions of differential equations, dy/dt = ky, being in the form of y(t) = y(0) e^(kt)

Using the above stated law now, we can relate to our equation, saying that

y(x) = y(0) e^(5x)

The point given from the question is, (0, 7). This also means that y(0) = 7. So finally, we can have

y(x) = 7e^(5x)

And that is our needed equation of the curve

8 0
3 years ago
Trent lift weights 7 days a week. He spends 18 minutes lifting weights on Monday, 29 minutes on Tuesday, 40 minutes on Wednesday
Ostrovityanka [42]

He lifts for 11 more minuets each day.

51 + 11 = 62

He lifted for 62 minuets on Friday.

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He lifted for 73 minuets on Saturday.

6 0
3 years ago
Determining a Local Maximum and Minimum
g100num [7]

Answer:

  • x=-1
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Step-by-step explanation:

Algebra level

5 0
3 years ago
The value of Q is given by the relation Q = 17m. If Q and m are integers with Q greater than 150 and less than 160, then which o
zloy xaker [14]

Answer: Value of m = 9

Step-by-step explanation:

Given that the relationship between Q and m is;

Q = 17m

Make m the subject of formula

M = Q/17

If Q is greater than 150 and less than 160, then, let assume that

Q = 151, then

M = 151/17

M = 8.88

If Q = 159

M = 159/17

M= 9.35

Since m ranges from 8.88 to 9.35, the value of m = 9

6 0
2 years ago
HELP PLEASE!!! i do not understand
mel-nik [20]

Answer:

a)-3>-7

b)3>-4 The symbol was preserved.

c)-6<8 The symbol was reversed.

Step-by-step explanation:

Hope this helps! :)

5 0
2 years ago
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