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madreJ [45]
3 years ago
7

What is the derivative of 3x+5x

Mathematics
1 answer:
Vaselesa [24]3 years ago
7 0

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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A triangular prism is 18 centimeters long and has a triangular face with a base of 12 centimeters and a height of 8 centimeters.
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Answer:

672 sq cm

Step-by-step explanation:

Each triangular base is 1/2 (12 * 8) or 48, making them = 96.

One of the sides is 12 x 18 = 216

The other 2 sides are 10 x 18 = 180 x 2 = 360

Add them all together to get 672 sq cm

8 0
2 years ago
Cholesterol levels for a group of women aged 30-39 follow an approximately normal distribution with mean 190.14 milligrams per d
Anettt [7]

Answer:

Step-by-step explanation:

Hello!

X: Cholesterol level of a woman aged 30-39. (mg/dl)

This variable has an approximately normal distribution with mean μ= 190.14 mg/dl

1. You need to find the corresponding Z-value that corresponds to the top 9.3% of the distribution, i.e. is the value of the standard normal distribution that has above it 0.093 of the distribution and below it is 0.907, symbolically:

P(Z≥z₀)= 0.093

-*or*-

P(Z≤z₀)= 0.907

Since the Z-table shows accumulative probabilities P(Z<Z₁₋α) I'll work with the second expression:

P(Z≤z₀)= 0.907

Now all you have to do is look for the given probability in the body of the table and reach the margins to obtain the corresponding Z value. The first column gives you the integer and first decimal value and the first row gives you the second decimal value:

z₀= 1.323

2.

Using the Z value from 1., the mean Cholesterol level (μ= 190.14 mg/dl) and the Medical guideline that indicates that 9.3% of the women have levels above 240 mg/dl you can clear the standard deviation of the distribution from the Z-formula:

Z= (X- μ)/δ ~N(0;1)

Z= (X- μ)/δ

Z*δ= X- μ

δ=(X- μ)/Z

δ=(240-190.14)/1.323

δ= 37.687 ≅ 37.7 mg/dl

I hope it helps!

8 0
3 years ago
Polygon MNOP has coordinates M(3, 7), N(3, 1), 0(4, 6), and P(6, 6). If the
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Answer:

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At what speed in miles per hour will a bicycle travel if the rider can cause the 26-inch diameter wheel to rotate 90 revolutions
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26' wheel @ 90 rpms = 2,340 inches / min   (26 x 90)

2,340 inches / min = 140,400 inches / hour  (2,340 x 60)

140,400 inches / hour = 11,700 feet / hour   (140,400 / 12)

11,700 feet / hour = approx. 2.216 miles / hour   (11,700 / 5,280)
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Which symbol makes this statement true? 2/3 ____ 50%<br> &lt;, &gt;, =
SSSSS [86.1K]

Answer:

>

Step-by-step explanation:

2/3 = 0.666666...

50% = 0.5

0.6666...>0.5

Therefore, 2/3>50%

5 0
3 years ago
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