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4 years ago

The angle turns through 1/6 of the circle. What is the measure of the

Mathematics

1 answer:

s344n2d4d5 [400]4 years ago

7 0

Answer:

Step-by-step explanation:

A circle is 360 degrees. If we rotate through 1/6 of the circle

360 *1/6 = 60

We rotate through 60 degrees

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What is the equation for the nth term of the arithmetic sequence. 28, 25, 22, 19, ....

natka813 [3]

Answer:

31-3n

Step-by-step explanation:

d=-3

a1=28

an= 28+(n-1)(-3)=28-3n+3

an=31-3n

4 0

3 years ago

I NEED HELP WITH THIS PRE CALC WORKSHEET, DUE TOMORROW!

nalin [4]

Answer:

1011.05

Step-by-step explanation:

Let's use 3 as an example.

The angle of depression is the one directly under the ballon.

You also know that the 53 degree angle is part of a 90 degree angle.

so the angle inside the triangle directly under the balloon is 37 degrees.

You know the angle and you know the side from the balloon to the ground is 1680. This is the hypotenuse of the triangle.

So which trig function could you use to determine how high the balloon is from the ground?

SOH CAH TOA

cos 37 = a/1680

a = 1341.71

6 0

3 years ago

How many feet is 40 miles per hour

astra-53 [7]

Answer:

There are a few different answers, because distance doesn't translate to speed.

Speed: 40 mph = 58.66142 fps

Distance: 40 miles = 211,200 feet

Hope that this helps!

5 0

3 years ago

Write 6x+2y=-12 in slope intercept form

Elena L [17]

Answer:

y = -3x - 6

Step-by-step explanation:

Slope intercept form:

y = mx +b

6x + 2y = -12

2y = -6x - 12

$\frac{2y}{2}=\frac{-6x}{2} - \frac{12}{2}\\\\ y = -3x - 6$

4 0

3 years ago

Read 2 more answers

Help with num 1 please.

KengaRu [80]

Answer:

(i) $\displaystyle y' = (6x - 1)ln(2x + 1) + \frac{2x(3x - 1)}{2x + 1}$

(ii) $\displaystyle y' = \frac{2x}{ln(x)} - \frac{x^2 + 2}{x(lnx)^2}$

(iii) $\displaystyle y' = \frac{e^x[xln(2x) + 1]}{x}$

General Formulas and Concepts:

Calculus

Differentiation

Derivatives
Derivative Notation

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

Derivative Property [Addition/Subtraction]: $\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)]$

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Derivative Rule [Product Rule]: $\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)$

Derivative Rule [Quotient Rule]: $\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}$

Derivative Rule [Chain Rule]: $\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)$

Exponential Differentiation

Logarithmic Differentiation

Step-by-step explanation:

(i)

Step 1: Define

Identify

$\displaystyle y = (3x^2 - x)ln(2x + 1)$

Step 2: Differentiate

Product Rule: $\displaystyle y' = (3x^2 - x)'ln(2x + 1) + (3x^2 - x)[ln(2x + 1)]'$
Basic Power Rule/Logarithmic Differentiation [Chain Rule]: $\displaystyle y' = (6x - 1)ln(2x + 1) + (3x^2 - x)\frac{1}{2x + 1}(2x + 1)'$
Basic Power Rule: $\displaystyle y' = (6x - 1)ln(2x + 1) + (3x^2 - x)\frac{2}{2x + 1}$
Simplify [Factor]: $\displaystyle y' = (6x - 1)ln(2x + 1) + \frac{2x(3x - 1)}{2x + 1}$

(ii)

Step 1: Define

Identify

$\displaystyle y = \frac{x^2 + 2}{lnx}$

Step 2: Differentiate

Quotient Rule: $\displaystyle y' = \frac{(x^2 + 2)'lnx - (x^2 + 2)(lnx)'}{(lnx)^2}$
Basic Power Rule/Logarithmic Differentiation: $\displaystyle y' = \frac{2xlnx - (x^2 + 2)\frac{1}{x}}{(lnx)^2}$
Rewrite: $\displaystyle y' = \frac{2xlnx}{(lnx)^2} - \frac{(x^2 + 2)\frac{1}{x}}{(lnx)^2}$
Simplify: $\displaystyle y' = \frac{2x}{ln(x)} - \frac{x^2 + 2}{x(lnx)^2}$

(iii)

Step 1: Define

Identify

$\displaystyle y = e^xln(2x)$

Step 2: Differentiate

Product Rule: $\displaystyle y' = (e^x)'ln(2x) + e^x[ln(2x)]'$
Exponential Differentiation/Logarithmic Differentiation [Chain Rule]: $\displaystyle y' = e^xln(2x) + e^x(\frac{1}{2x})(2x)'$
Basic Power Rule: $\displaystyle y' = e^xln(2x) + e^x(\frac{1}{2x})2$
Simplify: $\displaystyle y' = e^xln(2x) + \frac{e^x}{x}$
Rewrite: $\displaystyle y' = \frac{xe^xln(2x) + e^x}{x}$
Factor: $\displaystyle y' = \frac{e^x[xln(2x) + 1]}{x}$

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

Unit: Differentiation

Book: College Calculus 10e

6 0

3 years ago