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CaHeK987 [17]
2 years ago
10

A 45 gram sample of a substance that’s used to preserve fruit and vegetables has a K-value of 0.1085

Mathematics
1 answer:
Anna007 [38]2 years ago
7 0

Answer:

6.3 days

Step-by-step explanation:

The decay formula is

N(t) = N₀ exp(-kt)

where

N₀ = 45 g, original mass

N(t) = mass after time t, days

k = 0.1109, the decay constant.

At half life, N(t) = (1/2)*N₀. Therefore

1/2 = exp(-0.1109t)

Take natural log of each side.

ln(0.5) = -0.1109t

t = ln(0.5)/(-0.1109) = 6.25 days

Answer: 6.3 days (nearest tenth)

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I h(x)is the inverse of f (x)what is the value of h (f (x))
sergeinik [125]

Answer:

h(f(x)) = x

Step-by-step explanation:

Since the functions are inverses h(x) undoes f(x)

That is if f(x) = x then inverse function maps back to x

h(f(x)) = x


6 0
3 years ago
Aubrey's parents are signing her up for summer camps. If there are 5 weeklong camps to choose from, in how many orders can they
Tems11 [23]

Answer:

This can be done in a total of 10 ways

Step-by-step explanation:

This is a selection problem.

What we are trying to do is to properly select 3 week long camps from the total 5. we are looking for the number of ways in which we can do this.

Now, since this is a selection problem, the proper mathematical term and approach to use is the COMBINATION

Mathematically, having r items to pick from a total n, the number of ways to do this is nCr ways

which is mathematically equivalent to;

n!/(n-r)!r!

now applying this to the problem at hand, what we have is 5C3

= 5!/(5-3)!3! = 5!/2!3! = (5 *4)/2 = 20/2 = 10 ways

3 0
3 years ago
HELP ASAP PLEASE! THANKS!!!
Vika [28.1K]

Using it's concept, the range of the function is given by:

y ≥ 1

<h3>What is the range of a function?</h3>


The range of a function is composed by the set that contains all output values for the function. Considering the graph of the function, the range is given by all the values of y, which compose the vertical axis of the graph.

Looking at this graph, the function assumes values of 1 and greater, hence the range of the function is given by:

y ≥ 1.

More can be learned about the range of a function at brainly.com/question/10891721

#SPJ1

4 0
1 year ago
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