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kramer
3 years ago
13

Use rounding to estimate the product. 11.45 × 5

Mathematics
2 answers:
a_sh-v [17]3 years ago
8 0

Answer:

57.3

Step-by-step explanation:

just rounded up one

WITCHER [35]3 years ago
3 0

Answer:

57.3

Step-by-step explanation:

11.45 x 5 = 57.25

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Find the gradient of the line passing through (6,8) and (4,10)
Mariulka [41]

Question:

Find the gradient of the line passing through (6,8) and (4,10).

Answer:

-1 is the right answer.

Step-by-step explanation:

Slope of the line = The gradient of the line

Gradient of the line is known as change in the value of y-axis by change in the value of x-axis

Gradient = ∆y\∆x

Gradient = \frac{y_ 2 - y_1}{x_2 - x_1}  =  \frac{(10 - 8)}{(4 - 6)}  =  \frac{(2)}{(- 2)} =\boxed{- 1}\\

7 0
3 years ago
The entertainment committee voted to hire a DJ for the school dance. The DJ
nydimaria [60]
A 4 hours

This is because if you create the equation using $75 which is the starting fee and then $30 for every hour of playing music.

Equation: 75+30h<200
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8 0
3 years ago
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Is x^2-3x-23 polynomial
umka2103 [35]

Answer:

Yes

Step-by-step explanation:

6 0
3 years ago
Find the derivative of
kirill [66]

Answer:

\displaystyle y'(1, \frac{3}{2}) = -3

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<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)
  • Functions
  • Function Notation
  • Terms/Coefficients
  • Exponential Rule [Rewrite]:                                                                              \displaystyle b^{-m} = \frac{1}{b^m}

<u>Calculus</u>

Derivatives

Derivative Notation

Basic Power Rule:

  • f(x) = cxⁿ
  • f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle y = \frac{3}{2x^2}<u />

\displaystyle \text{Point} \ (1, \frac{3}{2})

<u>Step 2: Differentiate</u>

  1. [Function] Rewrite [Exponential Rule - Rewrite]:                                            \displaystyle y = \frac{3}{2}x^{-2}
  2. Basic Power Rule:                                                                                             \displaystyle y' = -2 \cdot \frac{3}{2}x^{-2 - 1}
  3. Simplify:                                                                                                             \displaystyle y' = -3x^{-3}
  4. Rewrite [Exponential Rule - Rewrite]:                                                              \displaystyle y' = \frac{-3}{x^3}

<u>Step 3: Solve</u>

  1. Substitute in coordinate [Derivative]:                                                              \displaystyle y'(1, \frac{3}{2}) = \frac{-3}{1^3}
  2. Evaluate exponents:                                                                                         \displaystyle y'(1, \frac{3}{2}) = \frac{-3}{1}
  3. Divide:                                                                                                               \displaystyle y'(1, \frac{3}{2}) = -3

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

Unit: Derivatives

Book: College Calculus 10e

6 0
3 years ago
The state of Colorado covers about 1.04 * 105 square miles. The Indian Ocean covers about 2.808 * 107 square miles. How many tim
Monica [59]

Answer:

270 times

Step-by-step explanation:

The number of times Indian Ocean is bigger than Colorado = 28,080,000 ÷ 104,000 = 270 times.

4 0
3 years ago
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