Answer: D) 85
Step-by-step explanation:
The area of a rectangular prism is length * width * height(5*3.4*5)
5 * 3.4 * 5 = 85
3/4w+8=1/3w-7
w=36
refer to the picture above
Given:
m = -8 degrees/hour, the rate of change of temperature
Let x = hours
Let y = temperature, °F
Then y = -8x + b
where b = constant
When x = 0, then y = b.
Therefore b = initial temperature
If the temperature drops by at least 36 °F in the next x hours, then
b - y(6) ≥ 36
b - (-8x + b) ≥ 36
8x ≥ 36
x ≥ 4.5 hours
Answer: At least 4.5 hours
-92
Step-by-step explanation:
If a quadratic equation has the following form:

then its discriminant D is defined as

In our given quadratic equation, a = 4, b = -2 and c = 6, so its discriminant is

Note: The value of the discriminant D will determine the characteristics of the roots of the quadratic equation according to the following rules:
there will be 2 real roots
there will be 1 real root
there will be 2 imaginary roots
Hence our given quadratic equation will not have any real roots but only imaginary ones.