Answer:
d = 10/72
Step-by-step explanation:
c and d vary inversely
c = k/d
Where,
k = constant of proportionality
d = 2/9 when c = 5
c = k/d
5 = k ÷ 2/9
5 = k × 9/2
5 = 9k/2
Cross product
5*2 = 9k
10 = 9k
k = 10/9
c = k/d
c = 10/9 ÷ d
c = 10/9 × 1/d
c = 10/9d
find d when c = 8
c = 10/9d
8 = 10/9d
Cross product
8*9d = 10
72d = 10
d = 10/72
Answer:
y = one-half x + three-fourths
Step-by-step explanation:
The 2-point form of the equation of a line can be used for starters.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (11/12 -19/20)/(1/3 -2/5)(x -2/5) +19/20 . . . . fill in given values
y = ((55 -57)/60)/((5 -6)/15)(x -8/20) +19/20 . . simplify a little
y = (-1/30)/(-2/30)(x -8/20) +19/20 . . . . . . . . . . and a little more ...
y = 1/2x -4/20 +19/20
y = 1/2x +15/20
y = 1/2x +3/4 . . . . line in slope-intercept form
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Geometry</u>
- Volume of a Rectangular Prism: V = lwh
<u>Calculus</u>
Derivatives
Derivative Notation
Differentiating with respect to time
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Step-by-step explanation:
<u>Step 1: Define</u>
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<u>Step 2: Differentiate</u>
- Rewrite [VRP]:
- Differentiate [Basic Power Rule]:
<u>Step 3: Solve for Rate</u>
- Substitute:
- Multiply:
Here this tells us that our volume is decreasing (ice melting) at a rate of 360 cm³ per hour.
Yes.
a test for a function is the vertical line test, so think about drawing a vertical line on top of this picture. if at any point the line is touching the graph more than once, it is not a function. this graph passes the vertical line test