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3 years ago

I need help with this question

Mathematics

1 answer:

lions [1.4K]3 years ago

5 0

Answer:

3035 calories in the mayo recipe

Step-by-step explanation:

Multiply the amount of calories in the salad oil by 1.5 bc there is a cup and a half of it in the mayo. then multiply the amount of calories in one egg yolk by 2 cuz there r 2 eggs. 1950*1.5=2925 then 55*2=110. then add em together to get 3035

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Two different radioactive isotopes decay to 10% of their respective original amounts. Isotope A does this in 33 days, while isot

Andrews [41]

Answer:

The approximate difference in the half-lives of the isotopes is 66 days.

Step-by-step explanation:

The decay of an isotope is represented by the following differential equation:

$\frac{dm}{dt} = -\frac{t}{\tau}$

Where:

$m$ - Current mass of the isotope, measured in kilograms.

$t$ - Time, measured in days.

$\tau$ - Time constant, measured in days.

The solution of the differential equation is:

$m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }$

Where $m_{o}$ is the initial mass of the isotope, measure in kilograms.

Now, the time constant is cleared:

$\ln \frac{m(t)}{m_{o}} = -\frac{t}{\tau}$

$\tau = -\frac{t}{\ln \frac{m(t)}{m_{o}} }$

The half-life of a isotope ( $t_{1/2}$ ) as a function of time constant is:

$t_{1/2} = \tau \cdot \ln2$

$t_{1/2} = -\left(\frac{t}{\ln\frac{m(t)}{m_{o}} }\right) \cdot \ln 2$

The half-life difference between isotope B and isotope A is:

$\Delta t_{1/2} = \left| -\left(\frac{t_{A}}{\ln \frac{m_{A}(t)}{m_{o,A}} } \right)\cdot \ln 2+\left(\frac{t_{B}}{\ln \frac{m_{B}(t)}{m_{o,B}} } \right)\cdot \ln 2\right|$

If $\frac{m_{A}(t)}{m_{o,A}} = \frac{m_{B}(t)}{m_{o,B}} = 0.9$ , $t_{A} = 33\,days$ and $t_{B} = 43\,days$ , the difference in the half-lives of the isotopes is:

$\Delta t_{1/2} = \left|-\left(\frac{33\,days}{\ln 0.90} \right)\cdot \ln 2 + \left(\frac{43\,days}{\ln 0.90} \right)\cdot \ln 2\right|$

$\Delta t_{1/2} \approx 65.788\,days$

The approximate difference in the half-lives of the isotopes is 66 days.

4 0

3 years ago

Read 2 more answers

Solve each equation 7:x=2:3

Olenka [21]

7 : x = 2 : 3

- divide 7 by 2.

7/2 = 3.5

- this is the scale factor.

- now multiply this by 3.

3 X 3.5 = 10.5

so, x = 10.5

6 0

3 years ago

Describe the relationships among the four terms angle bisector, angle, ray, and line

sammy [17]

First of all, the angle bisector, ray and angle line are all lines. Please refer to the picture attached. All of these lines are joined at one point called vertex which is at point O. The angle bisector is the line that divides the total angle into half. In this case, that would be line OB. The ray and line are the two legs of the angle, which are line OA and line OC, respectively. The angle is the arc between the lines.