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raketka [301]
3 years ago
8

Need help on this (3 + 4) + 62 × (6 − 5) =

Mathematics
2 answers:
ladessa [460]3 years ago
6 0

69 i hope this will help

erastova [34]3 years ago
5 0

Answer:

69

Step-by-step explanation:

Order of operations

In this case

Parenthesis ( )

Multiplication x

Addition +

(3 + 4) + 62 x (6 -5)

7 + 62 x 1

7 + 62

69

Hope that helps

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How many triangles can be constructed with angles measuring 70, 70 and 70 write a mathematical equation to prove your answer
Leona [35]
Answer:
zero triangles. No triangle can be formed with angles measuring 70°, 70° and 70°

Explanation:
In any triangle (regardless its type), the sum of the interior angles should always be 180°.

Now, assume we have 3 angles each measuring 70°.
Sum of these three angles = 70 + 70 + 70 = 210° which is greater than 180.

Since we mentioned that the sum on interior angles MUST be 180, therefore, the given measurements cannot be combined to form a triangle.

Hope this helps :)
5 0
3 years ago
Find dy/dx by implicit differentiation for the following equation. e^x^2=7x+5y+3
lesantik [10]

Answer:

\displaystyle \frac{dy}{dx} = \frac{2e^{2x} - 7}{5}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

  • Exponential Rule [Powering]: \displaystyle (b^m)^n = b^{m \cdot n}

<u>Calculus</u>

Derivatives

Derivative Notation

Derivative of a constant is 0

Implicit Differentiation

Basic Power Rule:

  • f(x) = cxⁿ
  • f’(x) = c·nxⁿ⁻¹

eˣ Derivative: \displaystyle \frac{d}{dx}[e^u] = u'e^u

Step-by-step explanation:

<u>Step 1: Define</u>

\displaystyle (e^x)^2 = 7x + 5y + 3

<u>Step 2: Differentiate</u>

  1. Rewrite [Exponential Rule - Powering]:                                                          \displaystyle e^{2x} = 7x + 5y + 3
  2. Implicit Differentiation:                                                                                   \displaystyle \frac{d}{dx}[e^{2x}] = \frac{d}{dx}[7x + 5y + 3]
  3. [Derivative] eˣ derivative:                                                                                \displaystyle 2e^{2x} = \frac{d}{dx}[7x + 5y + 3]
  4. [Derivative] Basic Power Rule:                                                                       \displaystyle 2e^{2x} = 1 \cdot 7x^{1 - 1} + 1 \cdot 5y^{1 - 1}\frac{dy}{dx}
  5. [Derivative] Simplify:                                                                                       \displaystyle 2e^{2x} = 7 + 5\frac{dy}{dx}
  6. [Derivative] [Subtraction Property of Equality] Subtract 7 on both sides:  \displaystyle 2e^{2x} - 7 = 5\frac{dy}{dx}
  7. [Derivative] [Division Property of Equality] Divide 5 on both sides:            \displaystyle \frac{2e^{2x} - 7}{5} = \frac{dy}{dx}
  8. [Derivative] Rewrite:                                                                                       \displaystyle \frac{dy}{dx} = \frac{2e^{2x} - 7}{5}

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

Unit: Derivatives - Implicit Differentiation

Book: College Calculus 10e

5 0
3 years ago
A car was at a red light. When it turned green, the car accelerated to 25 km/hr in 5 sec. Calculate the acceleration. Was the ca
irinina [24]

Answer:

It accelerated at 5 km/hr/s or the car was going 5 km/h faster each second.

The car was speeding up

Step-by-step explanation:

To find an estimated acceleration, you just take the speed it got to and divide it by the tie it took to get there

<em>s</em>/<em>t = a</em>        <---- where <em>s = </em>speed   <em>t = </em>time   <em>a =</em> acceleration

We know it was speeding up because it was at a red light so it was stopped. Then when it turned green, then the car would have started moving

3 0
3 years ago
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