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3 years ago

What are the steps towards solving-5 - 15n = 10

Mathematics

2 answers:

Kryger [21]3 years ago

8 0

Answer:

n=-1

Step-by-step explanation:

First you add 5 to both sides an you would get -15n=15

Next divide by -15 on both sides and get n=-1

sdas [7]3 years ago

7 0

Answer: n= -1

Step-by-step explanation:

move constant to right- (-15n=10+5)

divide both sides by -15

you solution would be n= -1

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3 years ago

Plutonium-240 decays according to the function L where o

PIT_PIT [208]

Answer:

$\boxed{\textbf{1700 yr}}$

Step-by-step explanation:

$-\dfrac{\text{d}L}{\text{d}t} = kL\\\\\dfrac{dL}{L}=-kdt\\\\\ln L = -kt + C\\\text{At t = 0, L = L$_{0}$, so C = $\ln L_{0}$}\\\ln L = -kt + \ln L_{0}\\\ln L_{0} - \ln L = kt\\\\\ln \dfrac{L_{0}}{L} =kt$

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Calculation:

$\ln \dfrac{24}{20} =0.000 11t\\\\\ln 1.2 = 0.000 11t\\\\0.1823 = 0.000 11t\\\\t = \dfrac{0.1823}{0.000 11} = \textbf{1700 yr}\\\\\text{It will take } \boxed{\textbf{1700 yr}}\text{ for the polonium to decay to 20 g}$

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3 years ago

50 meters decreased by 10%

Sedbober [7]

The answer is 45 meters.

5 0

3 years ago

Read 2 more answers

What is 2 1/4 equal to

Crazy boy [7]

Answer:

2.25

Step-by-step explanation:

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3 years ago

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Volume of a cone = r²h,

inessss [21]

Answer:

7.5 m 457.5 $\pi$ $m^{2}$

Step-by-step explanation:

First, visualize the original cone and the smaller cone as overlapping similar triangles. The scale factor of the original cone to the smaller cone is 50:40, so if the smaller cone has a radius of 6 m, then the radius of the original cone would be 7.5 m.

The volume of the frustum is the volume of the original cone minus the volume of the smaller cone. The formula for the volume of a cone is V = $\frac{1}{3} \pi r^{2}h$ .

Original Cone = $\frac{1}{3} \pi r^{2}h$ = $\frac{1}{3} \pi *7.5^{2}*50$ = 937.5 $\pi$

Smaller Cone = $\frac{1}{3} \pi r^{2}h$ = $\frac{1}{3} \pi *6^{2}*40$ = 480 $\pi$

Frustum = 937.5 $\pi$ - 480 $\pi$ = 457.5 $\pi$

6 0

2 years ago

What are the steps towards solving-5 - 15n = 10​

What are the steps towards solving-5 - 15n = 10