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3 years ago

What is the quotient? 3 4

Mathematics

1 answer:

max2010maxim [7]3 years ago

3 0

Answer:

0.75

Step-by-step explanation:

it makes sense that 3 is the Dividend, 4 is the Divisor, and you want to know the Quotient. Thus, the answer is:

3 ÷ 4 = 0.75

You might be interested in

If -y-2x^3=Y^2 then find D^2y/dx^2 at the point (-1,-2) in simplest form

algol13

Answer:

$\frac{d^2y}{dx^2} = \frac{-4}{3}$

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

<u>Algebra I</u>

Factoring

<u>Calculus</u>

Implicit Differentiation

The derivative of a constant is equal to 0

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

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

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

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

Step-by-step explanation:

<u>Step 1: Define</u>

-y - 2x³ = y²

Rate of change of tangent line at point (-1, -2)

<u>Step 2: Differentiate Pt. 1</u>

<em>Find 1st Derivative</em>

Implicit Differentiation [Basic Power Rule]: $-y'-6x^2=2yy'$
[Algebra] Isolate <em>y'</em> terms: $-6x^2=2yy'+y'$
[Algebra] Factor <em>y'</em>: $-6x^2=y'(2y+1)$
[Algebra] Isolate <em>y'</em>: $\frac{-6x^2}{(2y+1)}=y'$
[Algebra] Rewrite: $y' = \frac{-6x^2}{(2y+1)}$

<u>Step 3: Differentiate Pt. 2</u>

<em>Find 2nd Derivative</em>

Differentiate [Quotient Rule/Basic Power Rule]: $y'' = \frac{-12x(2y+1)+6x^2(2y')}{(2y+1)^2}$
[Derivative] Simplify: $y'' = \frac{-24xy-12x+12x^2y'}{(2y+1)^2}$
[Derivative] Back-Substitute <em>y'</em>: $y'' = \frac{-24xy-12x+12x^2(\frac{-6x^2}{2y+1} )}{(2y+1)^2}$
[Derivative] Simplify: $y'' = \frac{-24xy-12x-\frac{72x^4}{2y+1} }{(2y+1)^2}$

<u>Step 4: Find Slope at Given Point</u>

[Algebra] Substitute in <em>x</em> and <em>y</em>: $y''(-1,-2) = \frac{-24(-1)(-2)-12(-1)-\frac{72(-1)^4}{2(-2)+1} }{(2(-2)+1)^2}$
[Pre-Algebra] Exponents: $y''(-1,-2) = \frac{-24(-1)(-2)-12(-1)-\frac{72(1)}{2(-2)+1} }{(2(-2)+1)^2}$
[Pre-Algebra] Multiply: $y''(-1,-2) = \frac{-48+12-\frac{72}{-4+1} }{(-4+1)^2}$
[Pre-Algebra] Add: $y''(-1,-2) = \frac{-36-\frac{72}{-3} }{(-3)^2}$
[Pre-Algebra] Exponents: $y''(-1,-2) = \frac{-36-\frac{72}{-3} }{9}$
[Pre-Algebra] Divide: $y''(-1,-2) = \frac{-36+24 }{9}$
[Pre-Algebra] Add: $y''(-1,-2) = \frac{-12}{9}$
[Pre-Algebra] Simplify: $y''(-1,-2) = \frac{-4}{3}$

6 0

2 years ago

I would love if someone could help me Thanks in advance

Montano1993 [528]

Answer: Choice A, -1540 feet

----------------------------------

Explanation:

Multiply the rate (44 ft per sec) by the number of seconds (35) to get 44*35 = 1540

The answer will be negative to indicate that the altitude has gone down. If you put in a positive change, then the altitude would go up. So that's why the answer is choice A

Note: when you multiply 44 ft/sec by 35 sec, the "second" units cancel out leaving just feet.

Another note: if you want, think of the 44 as -44 to indicate that the plane is decreasing at a rate of 44 ft/sec

7 0

3 years ago

Find the value of x.

daser333 [38]

Answer:

Step-by-step explanation:

hello :

7x-6 = 3x+14

7x-3x =14+6

4x=20

x=20/4

3 0

2 years ago

Katherine bought snacks for her team's practice. She bought a bag of chips for $2.70 and a 12-pack of juice bottles. The total c

Naddika [18.5K]

1. A system of equations to determine the cost of a bottle of juice, is <u>12x + 2.70 = 15.78</u>.

2. From the equation, x = $1.09.

<h3>What is an equation?</h3>

An equation is a mathematical statement that shows that two values are equal.

A system of equations uses numbers and variables.

<h3>Data and Calculations:</h3>

The cost price of a bag of chips = $2.70

The total cost of snacks = $15.78

The total cost of 12-pack of juice bottles = $13.08 ($15.78 - $2.70)

Therefore, a bottle of juice = $1.09 ($13.08/12)

<h3>Equations:</h3>

Let a bottle of juice = x

Total cost of snacks = $15.78

2.70 + 12x = 15.78

or 12x + 2.70 = 15.78

12x = 13.08

x = 1.09 (13.08/12)

Learn more about equations at brainly.com/question/2972832

#SPJ1

7 0

1 year ago

Find the surface area of the square pyramid shown below.<br><br> (15 points)

harkovskaia [24]

Answer:

340

Step-by-step explanation

Base=10x10=100

Sides= {(12x10)/2}x4=240

Add sides plus base, 240+100=340

7 0

2 years ago