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4 years ago

Expand the expression (3-2y)^6 using binomial theorem

Mathematics

1 answer:

Nitella [24]4 years ago

5 0

She should have added 2 to both sides of the equation instead of subtracting 2.

2x -2 = 14

Add 2 to both sides:

2x = 16

Divide both sides by 2:

x = 8

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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

Given circle Q with a measure of SR=120° and a radius of 9 feet, as shown below.

Pie

Answer:

18.85 feet

Step-by-step explanation:

Determine the arc length of SR

Arc length = θ/360 × 2πr

r = 9 feet

θ =120°

Arc length = 120/360 × 2 × π × 9

= 18.849555922 feet

Approximately = 18.85 feet

Therefore, the arc length of SR = 18.85 feet

6 0

3 years ago

Which expression is equivalent to 8g + 2 + 4g − 2 − 2g?

LekaFEV [45]

Answer:

B) 10g

Step-by-step explanation:

Collect like terms

8g + 4g - 2g = 10g

2 - 2 = 0

10g + 0= 0

4 0

2 years ago

The human eye is approximately spherical in shape with a radius of about 12 mm

Tom [10]

Answer:

2.3 cm if that's an option. Not sure tho

Step-by-step explanation:

Pls mark as brainliest

5 0

3 years ago

Read 2 more answers

Can someone hep with this question please it seems like i can't get the answer correctly.ty!!

Mashcka [7]

Answer:

your answer will be 5

Step-by-step explanation:

hope it helps have a nice day/night ^_^

bye

4 0

3 years ago