Answer:
B
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0 ( a ≠ 0 )
Then the discriminant is
Δ = b² - 4ac
• If b² - 4ac > 0 then 2 real irrational roots
• If b² - 4ac > 0 and a perfect square then 2 real rational roots
• If b² - 4ac = 0 then 1 real double root
• If b² - 4ac < 0 then 2 complex roots
Given
x² + 3x - 7 = 0 ← in standard form
with a = 1, b = 3, c = - 7 , then
b² - 4ac
= 3² - (4 × 1 × - 7) = 9 + 28 = 37
Since b² - 4ac > 0 then 2 real irrational roots
With the given hint to be able to answer the question above, the equation for Newton's law of cooling is as follows:
T(t) = T(s) + (T0 - Ts)e^-kt
where T(t) is the body's temperature at any given time, Ts is the temperature of the surrounding, T0 is the initial temperature, and k is constant.
Substituting the values with the given above,
T(t) = 76 + (170 - 76)*e^(-0.34)(7)
This gives us the answer,
T(t) = 84.7 degrees F
Answer:
d
Step-by-step explanation:
Answer:
8 35/36
Step-by-step explanation:
1 5/12 * 6 1/3= 8 35/36
Answer:
120 ft
Step-by-step explanation:
60/360 or 1/6 of circle = 20 ft
full circle = 20 x 6 = 120 ft
diameter = 120/3.14 = 38.22 ft
radius = 38.22/2 = 19.11 ft
