Answer:
8.5
Step-by-step explanation:
1.35 multiplied by 10 = 13.5
13.5 - 5 = 8.5
The expression that can be used to show the relationship between the number of days and the total dollars (t) he spends is t = 30d
<h3>How to write expressions</h3>
- Cost of renting a car per day = $30
- Number of days Paul rents the car = d
- Total amount John spends = $t
The equation:
Total = cost per day × number of days
t = 30 × d
t = 30d
Learn more about equation:
brainly.com/question/13763238
(a) When f is increasing the derivative of f is positive.
f'(x) = 15x^4 - 15x^2 > 0
15x^2(x^2 - 1)> 0
x^2 - 1 > 0 (The inequality doesn't flip sign since x^2 is positive)
x^2 > 1
Then f is increasing when x < -1 and x > 1.
(b) The f is concave upward when f''(x) > 0.
f''(x) = 60x^3 - 30x > 0
30x(2x^2 - 1) > 0
x(2x^2 - 1) > 0
x(x^2 - 1/2) > 0
x(x - 1/sqrt(2))(x + 1/sqrt(2)) > 0
There are four regions here. We will check if f''(x) > 0.
x < -1/sqrt(2): f''(-1) = -30 < 0
-1/sqrt(2) < x < 0: f''(-0.5) = 7.5 > 0
0 < x < 1/sqrt(2): f''(0.5) = -7.5 < 0
x > 1/sqrt(2): f''(1) = 30 > 0
Thus, f''(x) > 0 at -1/sqrt(2) < x < 0 and x > 1/sqrt(2).
Therefore, f is concave upward at -1/sqrt(2) < x < 0 and x > 1/sqrt(2).
(c) The horizontal tangents of f are at the points where f'(x) = 0
15x^2(x^2 - 1) = 0
x^2 = 1
x = -1 or x = 1
f(-1) = 3(-1)^5 - 5(-1)^3 + 2 = 4
f(1) = 3(1)^5 - 5(1)^3 + 2 = 0
Therefore, the tangent lines are y = 4 and y = 0.
Answer:
$20.11 (assuming S325 was meant to be $3.25)
Step-by-step explanation:
50.00 - 5.52 = 44.48
44.48 - 3.25 = 41.23
41.23 -21.12 = 20.11
Hope this helps <3
The Standard form of the given statement is 8.5x10⁵ .
What is Standard form ?
Standard form is a way of writing a small number or a large number easily.
Given statement is :
8.5x10 to the power of 5
We write this in standard form we have :
8.5x10⁵
Therefore, the Standard form of the given statement is 8.5x10⁵
Read more about Standard form at :
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