ANSWER
The new equation is:
EXPLANATION
The given parabola has equation,
This is the parent function.
When we reflect this parabola in the x-axis and then scaled vertically by a factor of 1/8.
The new equation becomes:
The amount in kilograms a, of a radioactive element that remains after t hours can be modeled by the equation a=0.65(0.92)t. Wha
1 answer:
The given equation is:
The general equation for the radioactive decay can be written as:
Where,
a₀ is the original amount of the substance
a is the amount after time t.
r is the decay rate, written in decimals.
t is the time.
Transforming the given equation, we can write:
This means the decay rate for this radioactive element is 0.08 = 8%
Thus the percentage of decrease of the given radioactive element is 8%
The general equation for the radioactive decay can be written as:
Where,
a₀ is the original amount of the substance
a is the amount after time t.
r is the decay rate, written in decimals.
t is the time.
Transforming the given equation, we can write:
This means the decay rate for this radioactive element is 0.08 = 8%
Thus the percentage of decrease of the given radioactive element is 8%
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Assuming that we are performing a two-tailed test, the significance level is α = 0.1 would be dispersed in the distribution's tails with α/2 = 0.05.
And we must consider two critical values that add up to 0.05 of a area on every tail of a F distribution with a 10 degree angle.
An F statistic is one that is ascertained through an ANOVA test. It helps determine the relevance of the variable groups.
Now, according to the question;
We understand that sample size for numerator is 11 and also the sample size for denominator is 7. So, for each case, we can calculate a degrees of freedom as follows:
In this case, the F distribution could have 10 degrees of freedom with in numerator as well as 6 degrees of freedom in the denominator.
Assuming we are conducting a two-tailed test, the significance level of α = 0.1 will be distributed in the tails of the distribution with α/2 = 0.05.
Now, locate two critical values that collect 0.05 of a area on every tail of F distribution to 10 degrees of freedom again for numerator and 6 degrees of freedom for the denominator and we obtained using a table or excel;
Therefore, the critical f-value for the two-tailed experiment is found.
To know more about the critical f-value, here
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Answer:
Step-by-step explanation:
Existing walkway
l = 10 ft
w = 4 ft
A₁ = lw = 10 ft × 4 ft = 40 ft²
New walkway
Expanding a measurement by 25 % means that you multiply it by a factor of 1.25.
New length = 10 × 1.25 = 12.5 ft
New width = 4 × 1.25 = 5 ft
A₂ = lw = 12.5 ft × 5 ft = 62.5 ft²
Increase in area
A₂ - A₁ = 62.5 – 40 = 22.5 ft²
The increase in area is