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3 years ago

Round 416867.46988 to the nearest tenth

Mathematics

2 answers:

jolli1 [7]3 years ago

5 0

416867.5 rounded to the nearest tenth

attashe74 [19]3 years ago

4 0

Answer:

416867.47

Step-by-step explanation:

to round the tenths, simply take the second digit of the decimal and look at the digit to its right, if its more 5 or more you round it up by one. if its less, simply ignore the numbers to the right.

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Can anybody help plzz?? 65 points

Yakvenalex [24]

Answer:

$\frac{dy}{dx} =\frac{-8}{x^2} +2$

$\frac{d^2y}{dx^2} =\frac{16}{x^3}$

Stationary Points: See below.

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Calculus

Derivative Notation dy/dx

Derivative of a Constant equals 0.

Stationary Points are where the derivative is equal to 0.

1st Derivative Test - Tells us if the function f(x) has relative max or mins. Critical Numbers occur when f'(x) = 0 or f'(x) = undef
2nd Derivative Test - Tells us the function f(x)'s concavity behavior. Possible Points of Inflection/Points of Inflection occur when f"(x) = 0 or f"(x) = undef

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

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:

Step 1: Define

$f(x)=\frac{8}{x} +2x$

Step 2: Find 1st Derivative (dy/dx)

Quotient Rule [Basic Power]: $f'(x)=\frac{0(x)-1(8)}{x^2} +2x$
Simplify: $f'(x)=\frac{-8}{x^2} +2x$
Basic Power Rule: $f'(x)=\frac{-8}{x^2} +1 \cdot 2x^{1-1}$
Simplify: $f'(x)=\frac{-8}{x^2} +2$

Step 3: 1st Derivative Test

Set 1st Derivative equal to 0: $0=\frac{-8}{x^2} +2$
Subtract 2 on both sides: $-2=\frac{-8}{x^2}$
Multiply x² on both sides: $-2x^2=-8$
Divide -2 on both sides: $x^2=4$
Square root both sides: $x= \pm 2$

Our Critical Points (stationary points for rel max/min) are -2 and 2.

Step 4: Find 2nd Derivative (d²y/dx²)

Define: $f'(x)=\frac{-8}{x^2} +2$
Quotient Rule [Basic Power]: $f''(x)=\frac{0(x^2)-2x(-8)}{(x^2)^2} +2$
Simplify: $f''(x)=\frac{16}{x^3} +2$
Basic Power Rule: $f''(x)=\frac{16}{x^3}$

Step 5: 2nd Derivative Test

Set 2nd Derivative equal to 0: $0=\frac{16}{x^3}$
Solve for x: $x = 0$

Our Possible Point of Inflection (stationary points for concavity) is 0.

Step 6: Find coordinates

Plug in the C.N and P.P.I into f(x) to find coordinate points.

x = -2

Substitute: $f(-2)=\frac{8}{-2} +2(-2)$
Divide/Multiply: $f(-2)=-4-4$
Subtract: $f(-2)=-8$

x = 2

Substitute: $f(2)=\frac{8}{2} +2(2)$
Divide/Multiply: $f(2)=4 +4$
Add: $f(2)=8$

x = 0

Substitute: $f(0)=\frac{8}{0} +2(0)$
Evaluate: $f(0)=\text{unde} \text{fined}$

Step 7: Identify Behavior

See Attachment.

Point (-2, -8) is a relative max because f'(x) changes signs from + to -.

Point (2, 8) is a relative min because f'(x) changes signs from - to +.

When x = 0, there is a concavity change because f"(x) changes signs from - to +.

3 0

3 years ago

Which of the following graph represents the equation y-2=3(x-1)

pshichka [43]

Answer with explanation:

To draw the graph of linear equation of the form

y-a=m (x-b)

We will first write it in slope intercept form which is of the form

$\frac{x}{a}+\frac{y}{b}=1\\\\\rightarrow y-2=3 \times (x-1)\\\\\rightarrow y-2=3 x-3\\\\\rightarrow 3 x-y=3-2\\\\\rightarrow 3 x-y=1\\\\\rightarrow \frac{x}{\frac{1}{3}}+\frac{y}{-1}=1$

It will cut x axis and y axis at , $(\frac{1}{3},0) \text{and} (0,1)$ respectively.

As Euclid postulate States that, Unique equation of line can be Determined by two points,So join these two points.And Infinite number of points lie on a line.

Graph B

6 0

3 years ago

What is the relationship between gross pay and net pay?

Otrada [13]

Answer:

Net means something has been subtracted. Your gross pay is to total amount you've earned before deductions like taxes or other pre-tax deductions like health care or flexible spending account monies or 401k pre-tax savings accounts.

For this reason, Gross will always be more than net when it comes to pay unless there are NO DEDUCTIONS.

That means that B is the correct answer here - Net is less than gross.

A good way to think about this is a net catches some fish but lets others go. if you run a net through the ocean, you wont take everything in the water home, only a part of what's actually there.

Hope this helps!

Step-by-step explanation:

Gross Pay = $100

Taxes =$20

Gross Pay ($100) - Taxes ($20) = Net Pay

100-20=80

Net Pay = $80

80 is less than 100

5 0

3 years ago

I would appreciate the help, please!!!

kvv77 [185]

Answer:

ASA

Step-by-step explanation:

Angle Side Angle congruent

∠2 = ∠3 ; AC ; ∠1 = ∠4

6 0

3 years ago

a number is selected at random from set (2,3,45,6,7,8,9,and 10). which event covers the entire sample space of this experiment ?

ki77a [65]

I'm not sure I understand the question. Is this worded correctly?

8 0

3 years ago