Answer:
13.6%
Step-by-step explanation:
Step 1
Find the actual volume of the box
Volume = Length × Width × Height
You measure the box and find that it has a length of 10 inches, a width of 9 inches, and a helght of 4.5 inches.
Volume = 10 inches × 9 inches × 4.5 inches
Volume of the box = 405 cubic inches
Step 2
Calculate the percent error
|Estimated value - Actual value|/Actual value ×100
Estimated value= 350 cubic inches
Actual value = 405 cubic inches
= |350 - 405|/405 × 100
= |-55|/405 × 100
= 55/405 × 100
= 13.580246914%
Approximately = 13.6%
The Percent error is 13.6%
The equation of the tangent line will be y = -3x + 8.
<h3>What is a linear equation?</h3>
A straight line on the coordinate plane is represented by a linear equation.
A linear equation always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
Given curve
f(x) = x² - 7x + 12
The slope of the tangent equation = the first derivative of a function at that point (2,2).
So,
f'(x) = m = 2x - 7
At (2,2) ⇒ m = -3
Now let's say the equation of tangent
y = mx + c
2 = (-3)2 + c
c = 8
So,
Equation of tangent line on the curve f(x) = x² - 7x + 12 will be y = -3x + 8.
For more about the linear equation,
brainly.com/question/12974594
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Answer:
a) $2,641,885.90
b) $264,188.59
Step-by-step explanation:
The total profit is the integral of the marginal profit. The marginal profit is the difference between marginal revenue and marginal cost.
a) To find the total profit for the first 10 days, we evaluate P(10):
P(10) = 120(e^10 -1) -120(10) +0.3(10^2) = 120(22026.4658 -1) -1200 +30
P(10) = 2,641,885.90 . . . . rounded to cents
The total profit from day 0 to day 10 is $2,641,885.90.
__
b) The average daily profit is the total profit divided by the number of days:
average profit per day = P(10)/10 = $264,188.59
The average daily profit for the first 10 days is $264,188.59.
Answer: b) FALSE
<u>Step-by-step explanation:</u>
In order to show triangle congruency, you must be able to prove one of the following theorems:
SAS: Side-Angle-Side
SSS: Side-Side-Side
AAS: Angle -Angle-Side
ASA: Angle-Side-Angle
HL: Hypotenuse-Leg <em>(can only be used for right triangles)</em>
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We are only given information about two of the sides being congruent but no information on the third side or any of the angles so we canNOT prove the triangles are congruent.