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Lelu [443]
3 years ago
14

The radius of a cylindrical tank is 3' and the height is 8'what is the volume

Mathematics
1 answer:
valentinak56 [21]3 years ago
7 0

Answer:

226 cubed foot (rounded to 3 s.f.)

Step-by-step explanation:

Volume of cyclinder: \pi × r² × h

Volume of cylindrical tank = \pi × 3² × 8

                                           = 72\pi

                                           = 226 cubed foot (rounded to 3 s.f.)

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the last one

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Given f(x) and g(x) = f(x + k), use the graph to determine the value of k.
dedylja [7]

g(x) is basically transformed f(x). First, let's focus on f(x) graph. Notice how the graph has slope of 1 and intersect y-axis at (0,0).

Which means that our equation for f(x) is:

\large{f(x) = x}

Now then we focus on g(x). g(x) is f(x+k). That means if f(x) = x then f(x+k) would mean substitute x = x+k in the equation.

\large{f(x + k) = x + k }\\  \large{g(x) = x + k}

Next, we want to find the value of k. In the slope-intercept form or y = mx+b where m = slope and b = y-intercept. Notice the g(x) graph and see that the graph intersects y-axis at (0,4). Therefore k = y-intercept = 4.

\large{g(x) = x + 4}

Answer

  • g(x) = x+4
  • Therefore the value of k is 4.
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3 years ago
I need help on question number 26
klemol [59]
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2 years ago
For g(x)=1/2x-11, find x when g(x)=-5
Vesna [10]

Answer:

x = 12

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Algebra I</u>

  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

g(x) = 1/2x - 11

g(x) = -5

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute:                    -5 = 1/2x - 11
  2. Isolate <em>x</em> term:              6 = 1/2x
  3. Isolate <em>x</em>:                       12 = x
  4. Rewrite:                        x = 12
7 0
2 years ago
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