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olga2289 [7]
4 years ago
12

. While setting up a fireworks display, you have a tool at the top of the

Mathematics
1 answer:
Artemon [7]4 years ago
8 0

While setting up a fireworks display, you have a tool at the top of the

building and need to drop it to a coworker below. Given the equation:

h(t) = -16t^2 + h0

h = 84 feet

it will take the tool to fall to the ground 2.29 time unit

-84 = -16t^2 – 0

<span>t = 2.29 time unit</span>

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What is the diameter of a hemisphere with a volume of 7834 cm^3, to the nearest tenth of a centimeter
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Answer:

Step-by-step explanation:

Volume=7834cm^{3}\\\\\frac{2}{3}*\pi *r^{3}=7834\\\\\frac{2}{3}*3.14 *r^{3}=7834\\\\r^{3}=\frac{7834*3}{2*3.14}\\\\r^{3}=3742.36\\\\r=\sqrt[3]{3742.36}\\\\

r =15.53 cm

4 0
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What's the equivalent to the expression of (3×-8)
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Major means of communication​
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Step-by-step explanation:

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3 years ago
What is the derivative of 3x+5x
Vaselesa [24]

Answer:

\displaystyle \frac{d}{dx}[3x + 5x] = 8

General Formulas and Concepts:

<u>Calculus</u>

Differentiation

  • Derivatives
  • Derivative Notation

Derivative Property [Multiplied Constant]:                                                           \displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)

Basic Power Rule:

  1. f(x) = cxⁿ
  2. f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle y = 3x + 5x

<u>Step 2: Differentiate</u>

  1. Simplify:                                                                                                         \displaystyle y = 8x
  2. Derivative Property [Multiplied Constant]:                                                   \displaystyle y' = 8\frac{d}{dx}[x]
  3. Basic Power Rule:                                                                                         \displaystyle y' = 8

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

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