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Ludmilka [50]
3 years ago
13

Helppppp plzzzzz 10 points?!

Mathematics
1 answer:
Margaret [11]3 years ago
5 0

Answer:

it's b

Step-by-step explanation:


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After being treated with chemotherapy, the radius of the tumor decreased by 23%. What is the corresponding percentage decrease i
Crazy boy [7]

Answer:

The volume of the tumor experimented a decrease of 54.34 percent.

Step-by-step explanation:

Let suppose that tumor has an spherical geometry, whose volume (V) is calculated by:

V = \frac{4\pi}{3}\cdot R^{3}

Where R is the radius of the tumor.

The percentage decrease in the volume of the tumor (\%V) is expressed by:

\%V = \frac{\Delta V}{V_{o}} \times 100\,\%

Where:

\Delta V - Absolute decrease in the volume of the tumor.

V_{o} - Initial volume of the tumor.

The absolute decrease in the volume of the tumor is:

\Delta V = V_{o}-V_{f}

\Delta V = \frac{4\pi}{3}\cdot (R_{f}^{3}-R_{o}^{3})

The percentage decrease is finally simplified:

\%V = \left[1-\left(\frac{R_{f}}{R_{o}}\right)^{3} \right]\times 100\,\%

Given that R_{o} = R and R_{f} = 0.77\cdot R, the percentage decrease in the volume of tumor is:

\%V = \left[1-\left(\frac{0.77\cdot R}{R}\right)^{3} \right]\times 100\,\%

\%V = 54.34\,\%

The volume of the tumor experimented a decrease of 54.34 percent.

5 0
3 years ago
PLZ HELP!!!!! Find the slope of each line that passes through the given points. (−2, 1) and (6, −5)
EastWind [94]

Answer:

m = -3/4

Step-by-step explanation:

-5 - 1 / 6 - -2 = -6/8 = -3/4

3 0
3 years ago
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What percentage of total hours spent walking​
spin [16.1K]

Answer:

20%

Step-by-step explanation:

20% of 50 is 10, and they spent 10 hours walking.

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Factor completely 2x2 – 32.
trapecia [35]

Answer: -28

Step-by-step explanation:

4-32= -28

8 0
3 years ago
2. In 30 + In 2 -In 12
malfutka [58]
Ln 30 + ln 2 - ln 12
ln (30 * 2) - ln 12 (when there is a + between ln you can multiply the numbers)
ln 60 - ln 12
ln (60/12) (the - sign says to divide the numbers)
ln 5 - final answer
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3 years ago
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