Answer:
1: 75 degrees
2: 112 degrees
3: 125 degrees
4: 67 degrees
Step-by-step explanation:
Answer:
It'll take approximately 9.1 minutes
Step-by-step explanation:
The decay of this element can be modeled by the following expression:
m(t) = 540*(1 - 0.179)^t
Where m is the mass of the element in a given minute t. This expression comes from a compounded interest formula, with negative rate, since they will work in the same manner. Therefore to find how long until it reaches 90 g, we need to make m = 90 and solve for t.
90 = 540*(0.821)^t
(0.821)^t = 90 / 540
(0.821)^t = 1/6
ln(0.821^t) = ln(1/6)
t*ln(0.821) = ln(1) - ln(6)
t*ln(0.821) = - ln(6)
t = -ln(6)/ln(0.821) = 9.08452
It'll take approximately 9.1 minutes
Answer:
The ratio is 
Step-by-step explanation:
We have
Answer:
power of quotient
Step-by-step explanation:
We have been given an expression and we are asked to choose the correct rule to simplify our given expression.
Since our given expression is a fraction raised to 3rd power. Power of a quotient rule states when a quotient is raised to an exponent, then the exponent is distributed to both numerator and denominator of the quotient.
Using power of a quotient rule, we will get, (\frac{p}{q} )^3=\frac{p^3}{q^3}
Answer:
m<C = 113°
Step-by-step explanation:
m<A = 67° (given)
Recall: opposite angles in any inscribed quadrilateral in a circle are equal to 180° or are supplements of one another.
This implies that:
m<A + m<C = 180°
Substitute
67° + m<C = 180°
Subtract 67° from each side
m<C = 180° - 67°
m<C = 113°
