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Rom4ik [11]
3 years ago
7

Describe the interval shown using an inequality, set notation, and interval notation. (Picture attached!) Thank you!

Mathematics
1 answer:
marta [7]3 years ago
5 0

Answer:

inequality: x > -3

Set notation: {x: x> -3}

Interval notation: [-3, ∞)

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A spherical exercise ball has a maximum diameter of 30 inches when filled with air. The ball was completely empty at the start,
Alex73 [517]

Answer:

A) A(t)  =  4500*π  -  1600*t

B) A(4)  =  7730 in³

C) t  =  8,8 sec

Step-by-step explanation:

The volume of the sphere is:

d max  =  30   r max  =  15 in

V(s) =  (4/3)*π*r³      V(s)  =   (4/3)*π* (15)³

V(s) = 4500*π

A)  Amount of air needed to fill the ball A(t)

A(t)  = Total max. volume of the sphere - rate of flux of air * time

A(t)  =  4500*π  -  1600*t    in³

B) After 4 minutes

A(4)  =  4500*π  - 6400

A(4)  =  14130 - 6400

A(4)  =  7730 in³

C)  A(t)  =  4500*π  -  1600*t  

when  A(t) = 0   the ball got its maximum volume then:

4500*π -  1600*t  =  0

t  =   14130/1600

t  =  8,8 sec

8 0
3 years ago
Hello the question is in the picture ( only C)
pav-90 [236]

SOLUTION:

A normal distribution would model this situation because the distribution is approximately symmetrical, thus the mean, median and mode are approximately the same and the population size is large ( greater than 30).

6 0
1 year ago
One of the main contaminants of a nuclear accident, such as that at Chernobyl, is strontium-90, which decays exponentially at a
igor_vitrenko [27]

Answer: P=0.975^t


Step-by-step explanation:

We know that the general form of the exponential decay formula is


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Now, the ratio of strontium-90 remaining, p , as a function of years, t , since the nuclear accident. P=\frac{A(1-0.02)^t}{A}=\frac{(0.975)^t}{1}

Hence, the ratio of remaining since the nuclear accident is P=0.975^t

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3 years ago
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