An audio speaker that weighs 30lbs hangs from the ceiling of a restaurant by two cables as shown in the figure. What is the tent
1 answer:
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Answer:
the ratio in lowest terms is: 7 knives to 8 spoons = 7/8
Step-by-step explanation:
First express the ratio 105 knives to 120 spoons as the quotient:
next write each of the numbers in prime-factor form:
105 = 3 x 5 x 7
120 = 2 x 2 x 2 x 3 x 5
Now notice that when we express the quotient sing the factor form of the numbers, the factor 3, and 5 can be cancelled out because they appear in numerator an in denominator at the same time. therefore our quotient becomes:
Therefore the ratio in lowest terms is: 7 knives to 8 spoons
After 6 hours the radioactive compound with mass 470 grams becomes 391.49 grams and the equation will be C is equal to 470(1-0.03)^6.
<h3>What is exponential decay?</h3>During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.
We know the decay can be as:
We have:
a = 470 grams
r = 3% = 0.03
t = 6 hours
C = 391.49 grams
Thus, after 6 hours the radioactive compound with mass 470 grams becomes 391.49 grams and the equation will be C is equal to 470(1-0.03)^6.
Learn more about the exponential decay here:
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Answer:
The proportion is p = 0.399
Step-by-step explanation:
The estimate of a proportion is the number of desired outcomes divided by the number of total outcomes.
Desired outcomes:
286 people captured, so D = 286.
Total outcomes:
Sample of 716 suspected criminals, so T = 716.
Proportion