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2 years ago

Question #2: Write out the steps to solving the following example:

Mathematics

1 answer:

alukav5142 [94]2 years ago

5 0

Answer:

Unknown.

Step-by-step explanation:

Need more info.

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How would this triangle be classified?

Anna35 [415]

Answer:

Isosceles acute

Step-by-step explanation:

2 of the sides are the same and 1 is different therefore it is isosceles. Alol the angles are acute.

6 0

3 years ago

Find the equation of the line.

larisa [96]

-12 I just did this question In class

8 0

3 years ago

Tell whether the triangles are similar.Explain.

Burka [1]

Answer: 13. yes 14. no

Step-by-step explanation:

13. same angles sized down

14. different angles sized down

3 0

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$

Data:

L₀ = 24 g

L = 20 g

k = 0.000 11 yr⁻¹

Calculation:

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

8 0

3 years ago

The average number of tunnel construction projects that take place at any one time in a certain state is 3. Find the probability

slega [8]

Answer: 0.1008188

Step-by-step explanation:

The question will usng the poisson distribution formula:

Given :

Mean(λ) number of occurrence in a given interval = 3

P(X=x) = Probability of exactly x occurrence in a given interval

Number of desired occurence(x) = 5

P(X=x) = [(λ^x) * (e^-λ)] / x!

Where ; e = base of natural logarithm = 2.7182818

P(X=5) = [(3^5) * (e^-3)] / 5!

P(X=5) = [(243) * (0.0497870)] / 120

P(X=5) = [12.098257] / 120

P(X=5) = 0.1008188

6 0

3 years ago