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Alona [7]
3 years ago
5

What is the constant of proportionality of this equation? y=9x

Mathematics
1 answer:
Juliette [100K]3 years ago
5 0

Answer:

k = 9

Step-by-step explanation:

This is an important question.  The constant of proportionality is the same as the slope of the line y = 9x:  9

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An adult takes 400mg of ibuprofen. Each hour, the amount of ibuprofen in the person's
xz_007 [3.2K]

Answer:

4.048 hours

Step-by-step explanation:

A = Pe^(rt)

After 1 hour, the amount decreases by 29% (A = 0.71P), so r is:

0.71P = Pe^(r×1)

0.71 = e^r

r = ln(0.71)

r = -0.342

P = 400.  When A = 100, the time t is:

100 = 400e^(-0.342 t)

0.25 = e^(-0.342 t)

ln(0.25) = -0.342 t

t = -ln(0.25) / 0.342

t ≈ 4.048

Approximately 4.048 hours have passed.

8 0
3 years ago
What is the sum of the angle measures in dodecagon
Alecsey [184]

Dodecagon is a plane figure with 12 sides. To find the sum of angles of a dodecagon, we have to use the formula of sum of angles of a polygon with n sides, which is

S= (n-2)180

For Dodecagon , n=12. Therefore on substituting 12 for n , we will get

S= (12-2)180 =10*180 = 1800 degree .

SO the sum of angle measures of a dodecagon is 1800 degree .

6 0
4 years ago
If 10 more than 2 times a number is 16 what is the number
laila [671]

Answer: 3

Step-by-step explanation:

if you use 3 then it is; 10+3=13 and 13*2=16

5 0
3 years ago
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Define the function y(t) to be x(t) delayed by 0.3 seconds. Plot both x(t) and y(t) on the same graph using different line style
Andreas93 [3]

Answer:

y(t) =x(t+0.3s)

Step-by-step explanation:

Define the function y(t) to be x(t) delayed by 0.3 seconds.

To interpret that we can say that y at time t take the value of x at time (t+0.3s).

So we can write

y(t) =x(t+0.3s)

The graph relates X(t) and Y(t) for t=0.3 to t=4.0. There is a linear relation between the X and Y because the slope Y/X is a constant.

7 0
3 years ago
Why math is so important
Lostsunrise [7]

Answer:

Because you use it in life

Step-by-step explanation:

6 0
3 years ago
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