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3 years ago

If f(x) = 4x 6 and g(x) = x + 2, what is (fºg)(7)?

Mathematics

1 answer:

laiz [17]3 years ago

3 0

Step-by-step explanation:

(f○g)(7)

= f(g(7))

g(7) = 7 + 2

= 9

f(9) = 4(9) .....

......

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Translate the sentence into an equation Twice the difference of a number and 9 is equal to 5use the variable w for the unknown n

TEA [102]

Let w the unknown number. Then, you have

$\begin{gathered} 2(w-9)\rightarrow\text{ Twice the difference of a number and 9} \\ 2(w-9)=5\rightarrow\text{Twice the difference of a number and 9 is equal to 5} \end{gathered}$

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1 year ago

Madison reads 24 pages of her book each day. She has read for 9 days & is exactly halfway through reading her book. What is

joja [24]

Answer:

432 pages.

Step-by-step explanation:

We know Madison reads 24pgs/ per day. She reads for nine days, so she reads 24*9 pages, or 216.

We know also that this is halfway through her book, so 2*216= the whole book, so the book has 432 pages

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3 years ago

Read 2 more answers

How many centimeters are in 3.2 inches? [1 inch = 2.5 cm]

frez [133]

2.54 cm = 1 inch

3.2 inches * 2.54 cm / inch =8.128 centimeters

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3 years ago

DBZ 1. 2. 3. $90 9000!!!!

Anna007 [38]

Answer:

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Step-by-step explanation:

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3 years ago

What is the length of the curve with parametric equations x = t - cos(t), y = 1 - sin(t) from t = 0 to t = π? (5 points)

zzz [600]

Answer:

B) 4√2

General Formulas and Concepts:

Calculus

Differentiation

Derivatives
Derivative Notation

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Parametric Differentiation

Integration

Integrals
Definite Integrals
Integration Constant C

Arc Length Formula [Parametric]: $\displaystyle AL = \int\limits^b_a {\sqrt{[x'(t)]^2 + [y(t)]^2}} \, dx$

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle \left \{ {{x = t - cos(t)} \atop {y = 1 - sin(t)}} \right.$

Interval [0, π]

Step 2: Find Arc Length

[Parametrics] Differentiate [Basic Power Rule, Trig Differentiation]: $\displaystyle \left \{ {{x' = 1 + sin(t)} \atop {y' = -cos(t)}} \right.$
Substitute in variables [Arc Length Formula - Parametric]: $\displaystyle AL = \int\limits^{\pi}_0 {\sqrt{[1 + sin(t)]^2 + [-cos(t)]^2}} \, dx$
[Integrand] Simplify: $\displaystyle AL = \int\limits^{\pi}_0 {\sqrt{2[sin(x) + 1]} \, dx$
[Integral] Evaluate: $\displaystyle AL = \int\limits^{\pi}_0 {\sqrt{2[sin(x) + 1]} \, dx = 4\sqrt{2}$

Topic: AP Calculus BC (Calculus I + II)

Unit: Parametric Integration

Book: College Calculus 10e

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3 years ago