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andreyandreev [35.5K]
2 years ago
3

A curve passes through the point (0, 5) and has the property that the slope of the curve at every point P is twice the y-coordin

ate of P. What is the equation of the curve? (Use x as the independent variable.) ...?
Mathematics
1 answer:
strojnjashka [21]2 years ago
6 0
The solution to the problem is as follows:


y' = 2y 
<span>
y'/y = 2 </span>
<span>
dy/y = 2dx </span>
<span>
lny = 2x + k </span>
<span>
y = (e^k)(e^2x) </span>
<span>
5 = e^k </span>

<span>y = 5e^(2x)
</span>

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
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The total cost of 5 doughnuts and 6 cookies at a bakery is $11.95.The cost of each cookie is $0.95.Select the equation and its s
lisabon 2012 [21]

The equation for the situation is 5x+6(0.95)=11.95

The solution to the equation is x=1.25

First, you must set up the equation.

5x+6(0.95)=11.95

Then, you must simplify the terms.

5x+5.7=11.95

Next, subtract 5.7 on both sides.

5x=6.25

Finally, divide 5 on both sides

x=1.25

6 0
2 years ago
A company mixes pecans, cashews, peanuts, and walnuts to make a batch of mixed nuts. About 15.4% of the mixed nuts in a batch ar
Elan Coil [88]

Answer:

500 lb

Step-by-step explanation:

You have to make a proportion:

\frac{part}{whole} = \frac{percent}{100}

77 lb is part of the whole weight ( which we don't know) so 77 will go on top

The problem tells us that 15.4% of the total weight is pecans so 15.4 will go over 100 (since % are out of 100)

\frac{77}{x} = \frac{15.4}{100}

Then you cross multiply giving you: 7700 = 15.4x

then you divide 15.4 to both sides to isolate x which will give you 500

4 0
2 years ago
Brianna’s teacher asks her which of these three expressions are equivalent to each other. Expression A: 9x - 3x - 4 Expression B
kvasek [131]
Brianna's thinking is wrong because obviously all of the expressions are going to equal -4 when x is 0 because -4 would be the only value. Also, if x was a different number, the expressions wouldn't be equivalent. The equivalent expressions are A. 9x - 3x - 4, and C. 5x + x - 4. This is because when both are simplified, they equal 6x - 4.
7 0
2 years ago
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If the probability that a person will die in the next year is 593/100000
melisa1 [442]

Answer:

99407/100000

Step-by-step explanation:

100000 - 593 = 99407

4 0
2 years ago
At the county fair, the operator of a game guesses a contestant’s weight. For each pound the operator’s guess differs from the c
BartSMP [9]

Answer:   | x - \frac{15}{3} | = 120  or \frac{1}{3}| 3 x - 15|= 120 or  | 3x - 15| = 360 or  | x - 5 | = 120

Step-by-step explanation:

Since, According to the question,

For each pound the operator’s guess differs from the contestant’s weight, the contestant will receive $3.

And, If a contestant weighing x pounds received $15

Then the guessed weight of contestant = | x - \frac{15}{3} |

But,  Again according to the question,

The guessed weight is 120 pounds,

Thus, | x - \frac{15}{3}|= 120

⇒ \frac{1}{3}| 3 x - 15|= 120

⇒  | 3x - 15|= 3\times 120 (by multiplying 3 on both sides)

⇒  | 3x - 15|= 360

⇒  3| x - 5|= 360

⇒  | x - 5|= 120  ( On dividing both sides by 3 )

4 0
2 years ago
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