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3 years ago

12

You are going to mix a gallon bucket of window cleaner. The You are going to mix a gallon bucket of window cleaner. The instruct

ions
direct you to mix 1 part cleaner to 3 parts water. How much cleaning
solution will you need to use?*

1 answer:

Sonbull [250]3 years ago

5 0

X-amount of cleaning soulution
1Gal=x+3x
1Gal=4x
x=1/4 Gal

The amount of solution needed will be 0.25 Gal.
Hope it helped!

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Write the name of the period that has the digits 913.

kherson [118]

The answer is in the thousands group

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3 years ago

Which are the like terms in 2y^3 – 4y^2 + y + y^3?

mash [69]

Like terms are going to have the EXACT same variables....or they can just be constants with no variables.

x^2 and 3x^2 are like terms
x^2 and x^3 are not like terms
8 and 9 are like terms
8x and 9y are not like terms

so ur like terms in ur problem are : 2y^3 and y^3

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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:

<u>Calculus</u>

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:

<u>Step 1: Define</u>

<em>Identify</em>

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

Interval [0, π]

<u>Step 2: Find Arc Length</u>

[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

4 0

3 years ago

Nth Term help please

liberstina [14]

$\bf \begin{array}{|ll|ll} \cline{1-2} term&value\\ \cline{1-2} a_1&3\\[0.8em] a_2&\stackrel{3\cdot 2}{6}\\[0.8em] a_3&\stackrel{6\cdot 2}{12}\\[0.8em] a_4&\stackrel{12\cdot 2}{24}\\[0.8em] a_5&\stackrel{24\cdot 2}{48}\\[0.8em] a_6&\stackrel{48\cdot 2}{96} \\ \cline{1-2} \end{array}$

8 0

3 years ago

<img src="https://tex.z-dn.net/?f=180%20%5Cdiv%20460%20%3D%20simplified%20%5C%3A%20fraction" id="TexFormula1" title="180 \div 46

Anuta_ua [19.1K]

first you would put the expression in a fraction for

180/460

you already know that the both numbers are divisible by 2

so the answer would be 90/230 but we are still no done because these values are divisible by three

the rule to prove that the number is divisible by three is when you add the digits of the number for example 333. 3+3+3=9 and nine is divisible by nine

THE ANSWER IS:::::::: 90/230

5 0

3 years ago