Answer:
3
Step-by-step explanation:
The measure of the slope is
at x = a
Differentiate using the power rule
(a
) = na
Given
y = x³ - 1, then
= 3x²
The slope at (1, 0) is
= 3(1)² = 3
Answer: t-half = ln(2) / λ ≈ 0.693 / λExplanation: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:
← 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 / 2So, replace in the given equation:
3) Solving for α (remember α is λ)
αt ≈ 0.693
⇒ t = ln (2) / α ≈ 0.693 / α ← final answer when you change α for λ
Answer:
Part A number 2 (see work below)
<em>*please give me brainliest lol*</em>
Step-by-step explanation:
(8r^3 + 2r^2 + 1) - (7 - 7r^3 + 3r^2)
<em>after factoring out the negative, you'll have:</em>
8r^3 + 2r^2 + 1 -7 + 7r^3 - 3r^2
<em>now we combine like terms, and your answer is:</em>
15r^3 - r^2 - 6
<u>hope this helps!</u>
Answer:
Option A. 37106 ft.
Step-by-step explanation:
Given: An 757 passenger jet at the height of 3900 feet from the ground means vertical height = 3900 feet.
Angle of descent to the airport in Washington,D.C. is 6 degrees.
To find: Horizontal distance the plane will cover to reach the run way.
Solution: As we know tan ∅ = 
Then tan 6° = 
0.105 = 
x = 
x = 37106 ft