The answer would be 110 degrees.
Answer:
D. 2x^2-7x.
Step-by-step explanation:
Lets write it out to make it easy to work with.
-x(-2x+7)
Multiply the -x out
2x^2-7x.
The answer is D
If we let x as the number of years of service in the company and f(x) as the increase in the wage, the step wise function that describes the scenario is
f(x) = { 0.5, x < 3
{ 1.0, 3 ≤ x < 6
{ 1.5, 6 ≤ x < 9
{ 2.0, 9 ≤ x < 12
The point (2, 12) represents the wage increase of x < 12
Answer:
Slope:-63
Y-intercept: (0,825)
Step-by-step explanation:
Slope= y2-y1 ÷ x2-x1
321-699 ÷ 8-2
-378 ÷ 6 =-63
Y-intercept:
y=-63x+b
to get b (y-intercept) plug in one of the points and solve.
699=-63(2)+b
699=-126+b
699+126=-126+126+b
699+126=0+b
825=b
If the radio active isotope has the half life of 24100 years, then the initial quantity is 2.16 grams
The half life in years = 24100
Consider the quantity of the radio active isotope remaining
y = 
When t = 1000 the y = 1.2
y = C/2 when t = 1599
Substitute the values in the equation
C/2 = 
Cancel the C in both side
1/2 = 
Here we have to apply ln to eliminate the e terms
ln (1/2) = 24100k
k = ln(1/2) / 24100
k = -2.87× 10^-5
To find the initial value we have to substitute the value of k and y in the equation
1.2 = Ce^{1000 × -2.87× 10^-5}
C = 1.2 / e^(-0.0287)
C = 2.16 gram
Hence, the initial quantity of the radioactive isotope is 2.16 gram
Learn more about half life here
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