The area of the triangle is 430.5 sq. in.
█ Question <span>█
</span><span>One day at White Cliffs, the maximum daytime temperature was 46°C.
The overnight minimum was 57°C colder than the maximum had been.
What was White Cliffs’ overnight minimum temperature?
</span>█ Answer <span>█
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Answer:
Step-by-step explanation:
Answer:
a) y-8 = (y₀-8) , b) 2y -5 = (2y₀-5)
Explanation:
To solve these equations the method of direct integration is the easiest.
a) the given equation is
dy / dt = and -8
dy / y-8 = dt
We change variables
y-8 = u
dy = du
We replace and integrate
∫ du / u = ∫ dt
Ln (y-8) = t
We evaluate at the lower limits t = 0 for y = y₀
ln (y-8) - ln (y₀-8) = t-0
Let's simplify the equation
ln (y-8 / y₀-8) = t
y-8 / y₀-8 =
y-8 = (y₀-8)
b) the equation is
dy / dt = 2y -5
u = 2y -5
du = 2 dy
du / 2u = dt
We integrate
½ Ln (2y-5) = t
We evaluate at the limits
½ [ln (2y-5) - ln (2y₀-5)] = t
Ln (2y-5 / 2y₀-5) = 2t
2y -5 = (2y₀-5)
c) the equation is very similar to the previous one
u = 2y -10
du = 2 dy
∫ du / 2u = dt
ln (2y-10) = 2t
We evaluate
ln (2y-10) –ln (2y₀-10) = 2t
2y-10 = (2y₀-10)
Answer:
Solution : Option A and Option C
Step-by-step explanation:
To find the values of x that are not present in the domain, we can start by making the denominator equal to 0. This would make the fraction undefined, and hence will solve for the value(s) of x that do not belong to the function -
x² - 3x - 10 = 0,
(x + 2)(x - 5) = 0,
x = - 2 and x = 5
Domain {x | x ≠ - 2 ≠ 5 }
Hence our solution(s) are option a and option c
Answer:
(p-q)-(p+q)
Step-by-step explanation:
- p-q-p-q(p is removed)
- -q-q
- -2q