Answer:
The equation is at a rate of -23%.
Step-by-step explanation:
Decay can be represented by the equation We can find the rate at which it decays by using t=3 hours and A=3000. This means in this context.
After substituting, we divided by 6000 to each side to get 0.5 on the left. Now to solve for r, we will take the natural log of both sides and use log rules to isolate r.
We know so we were able to cancel it out and divide both sides by 3.
We solve with a calculator
We change -0.23 into a percent by multiplying by 100 to get -23% as the rate.
The equation is
21.
the equation of a circle with center at (h,k) and radius r is
(x-h)²+(y-k)²=r²
so
(x-1)²+(y-2)²=5²
(x-1)²+(y-2)²=25
22.
the equation of a circle with center at (h,k) and radius r is
(x-h)²+(y-k)²=r²
so
(x-(-3))²+(y-5)²=2²
(x+3)²+(y-5)²=4
The factored form of the equation 9x⁴y - 6x³y² + 3x²y³ is 3x²y(3x²-2xy+y²).
<h3>What is factored form?</h3>
The product of a constant and two linear expressions in factored form. The roots of the function are the parameters and the x-intercepts of the graph. Often Factoring is referred to as the process of converting a quadratic function to factored form.
We need to write the given expression in the factored form, therefore, we will take the common terms out of the given expression,
1. Taking 3 as the common term, we will get,
2. Taking x² as the common term
3. Taking y as the common term,
Hence, the factored form of the equation 9x⁴y - 6x³y² + 3x²y³ is 3x²y(3x²-2xy+y²).
Learn more about Factored Form:
brainly.com/question/25094938
Answer:
0.91
Step-by-step explanation:
1 - P(both left handed)
1 - 0.3² = 0.91
Answer:
18
Step-by-step explanation:
Since f '(x) ≥ 3, that means for every x, it can increase by 3 or greater. If we want to find the smallest f(5), we have to use the smallest rate of change possible, which is just 3.
Then, we have to find how many times x changes. Since we are going from 3 to 5, that means x changes 2 times. (5 - 3 = 2)
Now we multiply the rate of change (3) by the number of x changes.
3 x 2 = 6
We then add that to 12 since that is the number we started with
12 + 6 = 18