The distance traveled by a certain vehicle varies directly to the amount of fuel the vehicle consumes. The vehicle traveled 90 m
1 answer:
Answer:
The vehicle covers 126 miles on 7 gallons of fuel.
Step-by-step explanation:
Given:
The distance traveled is directly proportional to the amount of fuel.
For gallons of fuel distance traveled
miles can be given as:
∝
where is constant of proportionality.
The vehicle covers miles on
gallons.
So
Dividing both sides by 5.
∴
When gallons
miles
∴ The vehicle covers 126 miles on 7 gallons of fuel.
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About 92 days are taken for 90 % of the material to <em>decay</em>.
The mass of radioisotopes (), measured in milligrams, decreases exponentially in time (
), measured in days. The model that represents such decrease is described below:
(1)
Where:
- Initial mass, in milligrams.
- Current mass, in milligrams.
- Time constant, in days.
In addition, the time constant is defined in terms of half-life (), in days:
(2)
If we know that ,
and
, then the time required for decaying is:
About 92 days are taken for 90 % of the material to <em>decay</em>.
We kindly invite to check this question on half-life: brainly.com/question/24710827
So you have 8 digits (number available) to form 3 digit numbers (number selected).
Using the formula
where a is the number of available digits, P is the permutation function and c is the number of digits to be selected.
The number of three digit numbers that can be formed =
= 336
<span> O R
</span>By using the formula
where a is the number of available digits and c is the number of digits to be selected.<span>
</span>⇒
<span>
</span>⇒
<span>
</span>⇒ Permutation = 336<span>
</span>
Using the formula
The number of three digit numbers that can be formed =
= 336
<span> O R
</span>By using the formula
</span>⇒
<span>
</span>⇒
<span>
</span>⇒ Permutation = 336<span>
</span>
Given 
on the interval 0 ≤ x ≤ 7, for maximum value, f'(x) = 0.
