Answer:
Since g(x) = f(2x), this means we substitute 2x in place of x for f(x):
g(x) = f(2x) = (2x)² = 4x²
Graphing this, the parabola is not moved from the parent graph f(x) = x², but the graph is compressed horizontally by a factor of 4.Step-by-step explanation:
Answer:
an isosceles triangle
Step-by-step explanation:
it has two equal sides so this is isosceles triangle
Answer:
A(t) = 300 -260e^(-t/50)
Step-by-step explanation:
The rate of change of A(t) is ...
A'(t) = 6 -6/300·A(t)
Rewriting, we have ...
A'(t) +(1/50)A(t) = 6
This has solution ...
A(t) = p + qe^-(t/50)
We need to find the values of p and q. Using the differential equation, we ahve ...
A'(t) = -q/50e^-(t/50) = 6 - (p +qe^-(t/50))/50
0 = 6 -p/50
p = 300
From the initial condition, ...
A(0) = 300 +q = 40
q = -260
So, the complete solution is ...
A(t) = 300 -260e^(-t/50)
___
The salt in the tank increases in exponentially decaying fashion from 40 grams to 300 grams with a time constant of 50 minutes.
Answer:
190 is 76% of 250
Step-by-step explanation:
We have, 76% × x = 190
Multiplying both sides by 100 and dividing both sides by 76,
we have x = 190 × 100/76
x = 250
If you are using a calculator, simply enter 190×100÷76, which will give you the answer.
Answer:In 1969, Mao suggested the end of the Cultural Revolution. ... After Mao's death and the arrest of the Gang of Four in 1976, the Cultural Revolution finally came to an end. The Cultural Revolution damaged China's economy and traditional culture, with an estimated death toll ranging from hundreds of thousands to 20 million.
Step-by-step explanation:
