Answer: D
Step-by-step explanation:
The increase in temperature is positive, and the absolute value is always positive. So |-8 - 23| is your answer.
<h2>
Answer: (y - 2) = - ¹/₄ (x - 10) </h2>
Step-by-step explanation:
When two lines are perpendicular, the product of their slope/gradient = -1. Another way of thinking of this is that they are negative-reciprocal of each other.
Let y = 4x + 6 be [a] & the perpendicular line [b]
since the slope of [a] = 4
then the slope (m) of [b] = - ¹/₄
Since we know the slope of [b], we can use the point-slope form (y - y₁) = m (x - x₁); where (x₁ , y₁) = (10 , 2) & m = - ¹/₄
∴ the equation of the perpendicular line : (y - 2) = - ¹/₄ (x - 10)
The explicit formula is D. -4n + 15.
Answer:
Step-by-step explanation:
Each year, the plant earns an additional 5 percent per man-hour. This means that the increase in earnings is exponential. We would apply the formula for exponential growth which is expressed as
A = P(1 + r)^t
Where
A represents the amount earned after t years.
t represents the number of years.
P represents the initial amount earned.
r represents rate of growth.
From the information given,
P = $800
r = 5% = 5/100 = 0.05
Therefore, the function that gives the amount after t years is
A = 800(1 + 0.05)^t
A = 800(1.05)^t