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ololo11 [35]
2 years ago
9

Write a quadratic equation, in factored form solution are 0,and 6

Mathematics
1 answer:
Salsk061 [2.6K]2 years ago
4 0

Answer: x(x-6)=0

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20 is what percent of 50? A. 40% B. 10% C. 250% D. 30%
zvonat [6]
<span>A is the correct answer. To find 10% of 50, divide it by 10. This gives you 5. If 5 is 10%, then 20 is 40%, because 20 is 4 x 5 and 40 is 4 x 10. </span>
5 0
3 years ago
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An important tool in archeological research is radiocarbon dating, developed by the American chemist Willard F. Libby.3 This is
Radda [10]

Answer:

Q(t) = Q_o*e^(-0.000120968*t)

Step-by-step explanation:

Given:

- The ODE of the life of Carbon-14:

                                       Q' = -r*Q

- The initial conditions Q(0) = Q_o

- Carbon isotope reaches its half life in t = 5730 yrs

Find:

The expression for Q(t).

Solution:

- Assuming Q(t) satisfies:

                                       Q' = -r*Q

- Separate variables:

                                      dQ / Q = -r .dt

- Integrate both sides:

                                       Ln(Q) = -r*t + C

- Make the relation for Q:

                                       Q = C*e^(-r*t)

- Using initial conditions given:

                                       Q(0) = Q_o

                                       Q_o = C*e^(-r*0)

                                      C = Q_o    

- The relation is:

                                       Q(t) = Q_o*e^(-r*t)

- We are also given that the half life of carbon is t = 5730 years:

                                       Q_o / 2 = Q_o*e^(-5730*r)

                                        -Ln(0.5) = 5730*r

                                        r = -Ln(0.5)/5730

                                        r = 0.000120968          

- Hence, our expression for Q(t) would be:

                                       Q(t) = Q_o*e^(-0.000120968*t)                                    

7 0
3 years ago
What is 10 divided by 2 plus 8?
Burka [1]

Answer:

10 divided by 3 is 5 then you add 8 which will give you 13

6 0
3 years ago
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Help Me, I only have 2 minutes
ehidna [41]

Answer:

6 \frac{2}{13}

3 0
1 year ago
EXAMPLE 5 Evaluate the iterated integral 5 0 5 x sin(y2) dy dx. SOLUTION If we try to evaluate the integral as it stands, we are
Dimas [21]

\displaystyle\int_0^5\int_x^5\sin(y^2)\,\mathrm dy\,\mathrm dx

The integration region is the triangle in the x,y plane bounded by the lines y=5, y=x, and x=0. Reversing the order of integration, this is equal to

\displaystyle\int_0^5\int_0^y\sin(y^2)\,\mathrm dx\,\mathrm dy=\int_0^5y\sin(y^2)\,\mathrm dy

For the remaining integral, let u=y^2\implies\mathrm du=2y\,\mathrm dy:

\displaystyle\int_0^5y\sin(y^2)\,\mathrm dy=\frac12\int_0^{25}\sin u\,\mathrm du=-\frac12\cos u\bigg|_0^{25}=\frac{1-\cos(25)}2

6 0
3 years ago
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