Answer:
D. A straight line segment can be drawn between any two points
A. Any straight line segment can be extended indefinitely
Step-by-step explanation:
Answer:
c₁ = 1/2
c₂ = - e²/2
y = (1/2)*(eˣ - e²⁻ˣ)
Step-by-step explanation:
Given
y = c₁eˣ + c₂e⁻ˣ
y(1) = 0
y'(1) = e
We get y' :
y' = (c₁eˣ + c₂e⁻ˣ)' ⇒ y' = c₁eˣ - c₂e⁻ˣ
then we find y(1) :
y(1) = c₁e¹ + c₂e⁻¹ = 0
⇒ c₁ = - c₂/e² <em>(I)</em>
then we obtain y'(1):
y'(1) = c₁e¹ - c₂e⁻¹ = e <em>(II)</em>
⇒ (- c₂/e²)*e - c₂e⁻¹ = e
⇒ - c₂e⁻¹ - c₂e⁻¹ = - 2c₂e⁻¹ = e
⇒ c₂ = - e²/2
and
c₁ = - c₂/e² = - (- e²/2) / e²
⇒ c₁ = 1/2
Finally, the equation will be
y = (1/2)*eˣ - (e²/2)*e⁻ˣ = (1/2)*(eˣ - e²⁻ˣ)
Answer:
(a) yes
(b) 104% profit
Step-by-step explanation:
250 apples for $22,500 (were they gold?)
Part 1:
50x$120=$6000
Part 2:
200 sold at $1000 per 5 apples=200/5x1000=$40,000
$40,000+$6000=$46,000
A profit of $23,500
23500/22500=1.044 or 104% profit
Rewrite each given equation as
where each of the last equalities follows from the change-of-base identity,
for any base <em>b</em> > 0 and <em>b</em> ≠ 1. I picked the natural base, <em>e</em>.
Then
as required.
Answer:
75 meters.
Step-by-step explanation:
In this case, you are trying to find side length NO. In accordance to SOH CAH TOA, you can use a sine function to find the missing side length, since you are given the hypotenuse.
sin(49) = x / 100
x = sin(49) * 100
x = 0.7547095802 * 100
x = 75.47095802
So, the closest answer would be 75 meters.
Hope this helps!