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Ne4ueva [31]
3 years ago
13

What is the value of the expression 1/7 ÷8 A 1/12 B 1/35 C 5/7 D 6/7

Mathematics
2 answers:
dsp733 years ago
7 0

Answer:

Step-by-step explanation:B and D I belive.

vesna_86 [32]3 years ago
3 0

Answer:

Looks like it's none.

Step-by-step explanation:

\frac{1}{7}*\frac{1}{8}=\frac{1}{56}

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Researchers are monitoring two different radioactive substances. They have 300 grams of substance A which decays at a rate of 0.
Korolek [52]

Answer:

231.59 years

Step-by-step explanation:

To model this situation we are going to use the exponential decay function:

f(t)= a (1-b)^t

where f(t) is the final amount remaining after t years of decay

a is the final amount

b is the decay rate in decimal form

t is the time in years

For Substance A:

Since  we have 300 grams of the substance, a=300. To convert the decay rate to decimal form, we are going to divide the rate by 100%:

r = 0.15/100 = 0.0015. Replacing the values in our function:

f(t) = a (1-b)^t

f(t) = 300 (1-0.0015)^t

f(t) = 300 (0.9985)^t equation (1)

For Substance B:

Since we have 500 grams of the substance, a= 500. To convert the decay rate to decimal form, we are going to divide the rate by 100%:

r=0.37/100= 0.0037. Replacing the values in our function:

f(t) = a (1-b)^t

f(t)= 500 (1-0.0037)^t

f(t)=500(0.9963)^t equation (2)

Since they are trying to determine how many years it will be before the substances have an equal mass M, we can replace f(t) with M in both equations:

M=300(0.9985)^t equation (1)

M=500(0.9963)^t equation (2)

We can conclude that the system of equations that can be used to determine how long it will be before the substances have an equal mass, M, is :

{M=300(0.9985)^t

{M=500(0.9963)^t

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3 years ago
Solve the equation below:<br> 5x^2 - 55 = 90
Leno4ka [110]
X= √29, -√29

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