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tensa zangetsu [6.8K]
4 years ago
5

The rate of change of y with respect to t is proportional to 50 - y

Mathematics
1 answer:
saveliy_v [14]4 years ago
3 0
We can write and solve the differential equation that fits the statement given;
 dy/dt = k(50-t)
∫dy = ∫ k(50-t)dt
= ∫ (50k - kt) dt
therefore;
y = 50kt - k/2(t²) + C
Alternatively, can be written as
  y = - k/2 (50-t)² + C)
You might be interested in
Find the probability of landing on an even number when spinning the spinner below.
Mariulka [41]

Answer:

There are 8 numbers.

4 of the numbers are even ( 2, 4, 6, 8)


The probability is the number of even numbers over the total numbers:


4/8 which reduces to 1/2.


The answer is 1/2



3 0
3 years ago
in any given year a factory has a 10% probability of having a serious accident. about every how many years might the factory exp
Likurg_2 [28]

Years for one serious accident is 10 year

<u>Given:</u>

Probability of having a serious accident = 10% every year

P(serious accident) = 0.1

Number of years = n

<u>Computation:</u>

Years for one serious accident = 1 / Probability of having a serious accident

Years for one serious accident = 1 / P(serious accident)

Years for one serious accident = 1 / 0.1

Years for one serious accident = 10 year

Learn more:

brainly.com/question/23044118?referrer=searchResults

5 0
3 years ago
Kim has no more than $500 to spend on home repairs. HandyMan Co is charging her $125 for supplies needed and $25 per hour. Write
Strike441 [17]
5 hours.

Divide the numbers.
$125 divded by $25 = 5

Answer: Kim can afford 5 hours lf repair time. (Brainlest?)

Have a good rest of your day/night!!
8 0
2 years ago
HELP I'm very bad at story questions lolol
Mila [183]

1ST  Piece  =======>    2x ======>  2  *   3 ft.  ======>   6 ft.

2ND  =========>    5x        =======>    5  *  3 ft.   ======>  15 ft.

3RD  ==========> 4 Feet     =======> 4 ft.

Sum  ======>    25 Feet



Equation:

(2x    +    5x)       +     (4)       =        25


Let's solve your equation step-by-step.

2x       +      5x      +      4     =       25

Step 1: Simplify both sides of the equation.

2x       +         5x       +       4       =      25

(2x      +      5x)         +         (4)       =     25         (Combine Like Terms)

7x       +      4      =       25

7x        +      4       =     25

Step 2: Subtract 4 from both sides.

7x       +      4       −       4      =     25     −    4

7x     =      21

Step 3: Divide both sides by 7.

7x / 7       =         21 / 7

Answer ========>          x        =         3




Check:

(2x    +    5x)       +     (4)       =        25

2(3)   =    6

5(3)    =   15

3rd  Piece  =    4

Sum  =      25

6ft.    +      15ft.       +      4ft       =     25

25             =                    25




Hope that helps!!!!!!!!!!!!!                                              : )






6 0
4 years ago
5a/5a+5 x 10a +10/10​
DIA [1.3K]

Answer: 50a+2

Step-by-step explanation:

1. Simplify 5a5a\​5a​​5a​​ to 1.

1+5×10a+10

2.Simplify 5×10a to 50a.

1+50a+10

3.Cancel 10.

1+50a+1

4. Collect like terms.

50a+(1+1)

5. Simplify.

50a+2

6 0
3 years ago
Read 2 more answers
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