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Molodets [167]
3 years ago
11

Round 16,087 to the nearest thousand

Mathematics
1 answer:
Maru [420]3 years ago
6 0
The thousands place is the 6, look to the right and there is a 0 (rule is if it's 5 or more round up, if it's 4 or less keep the same)  so it's 16,000
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What is 70 divided by 7 1/2
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Read 2 more answers
Since at t=0, n(t)=n0, and at t=∞, n(t)=0, there must be some time between zero and infinity at which exactly half of the origin
Airida [17]
Answer: t-half = ln(2) / λ ≈ 0.693 / λ

Explanation:

The question is incomplete, so I did some research and found the complete question in internet.

The complete question is:

Suppose a radioactive sample initially contains N0unstable nuclei. These nuclei will decay into stable nuclei, and as they do, the number of unstable nuclei that remain, N(t), will decrease with time. Although there is no way for us to predict exactly when any one nucleus will decay, we can write down an expression for the total number of unstable nuclei that remain after a time t:

N(t)=No e−λt,

where λ is known as the decay constant. Note that at t=0, N(t)=No, the original number of unstable nuclei. N(t) decreases exponentially with time, and as t approaches infinity, the number of unstable nuclei that remain approaches zero.

Part (A) Since at t=0, N(t)=No, and at t=∞, N(t)=0, there must be some time between zero and infinity at which exactly half of the original number of nuclei remain. Find an expression for this time, t half.

Express your answer in terms of N0 and/or λ.

Answer:

1) Equation given:

N(t)=N _{0} e^{-  \alpha  t} ← I used α instead of λ just for editing facility..

Where No is the initial number of nuclei.

2) Half of the initial number of nuclei: N (t-half) =  No / 2

So, replace in the given equation:

N_{t-half} =  N_{0} /2 =  N_{0}  e^{- \alpha t}

3) Solving for α (remember α is λ)

\frac{1}{2} =  e^{- \alpha t} &#10;&#10;2 =   e^{ \alpha t} &#10;&#10; \alpha t = ln(2)

αt ≈ 0.693

⇒ t = ln (2) / α ≈ 0.693 / α ← final answer when you change α for λ




4 0
3 years ago
Find the missing dimension of each prism.
Leto [7]

Given:

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Breadth = 2.5 in

Height = 4 in.

To find:

The length of the prism.

Solution:

We know that, volume of a prism is

V=l\times b\times h

where, l is length, b is breadth and h is height.

Putting V=60, b=2.5 and h=4, we get

60=l\times 2.5\times 4

60=l\times 10

Divide both sides by 10.

\dfrac{60}{10}=l

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At the "cloth for you" shop, you can buy a top for £10.00 and a Bermuda trouser for £12.00. Due to a sensational sell, there is
9966 [12]

Answer:

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Step-by-step explanation:

The price for a top In the "cloth for you" shop= £10

The price for a bermuda trouser In the "cloth for you" shop= £12

There is a 20% discount on tops

The price If I bought one top and would trouser will be

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2(12) for the trouser

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Total = 10-2+24

Total = £32

So I spent £32 in total for the top and two trousers

3 0
3 years ago
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