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damaskus [11]
2 years ago
7

9.2×10 5 bacteria are measured to be in a dirt sample that weighs 11 grams. Use scientific notation to express the number of bac

teria that would be in a sample weighing 10 10 grams.
Mathematics
1 answer:
Minchanka [31]2 years ago
4 0

Answer: 10 to the 10th power

Step-by-step explanation:

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Strontium-90 has a half-life of 28.8 years. If you start with a 300-gram sample of strontium-90,
Kazeer [188]

Answer:  2.66 × 10⁻¹³

<u>Step-by-step explanation:</u>

First, use the decay formula   A=A_oe^{kt}   where

  • A is the final amount (amount left)
  • A₀ is the initial amount (amount you started with)
  • k is the rate of decay (you need to solve for this)
  • t is the time

Given:

  • A = 1/2(300) = 150
  • A₀ = 300
  • k = unknown
  • t = 28.8

150=300e^{28.8k}\\\\0.5=e^{28.8k}\\\\ln(0.5)=ln(e^{28.8k})\\\\ln(0.5)=28.8k\\\\\\\dfrac{ln(0.5)}{28.8}=k\\\\\\\large\boxed{-0.0240676=k}\\

Next, input the k-value and the new t-value to solve for A.

  • A = unknown
  • A₀ = 300
  • k = -0.0240676
  • t = 1440

A=300e^{1440(-.0240676)}\\\\\large\boxed{A=2.66\times 10^{-13}}\\

5 0
4 years ago
An arc of length 8 in. is intersected by a central angle in a circle with a radius of 3 in. What is the measure of the angle? Ro
sergey [27]

Answer:

2.7 radians

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Step-by-step explanation:

4 0
3 years ago
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Alaina has $28 in her account. She wants to purchase a pair of shoes that costs $45. If Alaina makes the purchase, which integer
k0ka [10]
Alaina has $28 in her account and wants to buy shoes worth $45

So $28-$45=$-17

Her account status will be $ - 17

Hope this helps
3 0
4 years ago
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Please help me with this
larisa [96]

Please Show a picture or either a text so that I can help you

7 0
3 years ago
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Sally rents a life jacket for a one-time fee of $5. She then rents a canoe for $15 per hour. Write an expression that represents
Mekhanik [1.2K]

Answer:

3.00/8

Step-by-step explanation:

because u simplify 15/5 and u get 3

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3 years ago
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