Examine the diagrams below. What is the angle pair

The sales tax in Mike's home city is 8.25%. Mike buys a sweater for $49.95, two pair of slacks for $68.59 each, and a suit for $

hjlf

Answer: $50.91

Step-by-step explanation:

The following information can be gotten from the question;

Cost of sweater = $49.95,

Cost of slacks = $68.59 each,

Cost of 2 slacks = $68.59 × 2

= $137.18

Cost of suit = $429.99.

Total cost = $49.95 + $137.18 + $429.99 = $617.12

Sales tax = 8.25%

The sales tax that Mike owe will be:

= 8.25% × $617.12

= 0.0825 × $617.12

= $50.91

Mike will have to pay a sales tax of $50.91

4 0

3 years ago

Note: Type out the correct classification for each graph.

saveliy_v [14]

1) First is an odd function because f(-x)=-f(x)
3) 3d is an even function because f(-x)=f(x)
2) 2d looks like sin function and it is also odd.

6 0

3 years ago

Read 2 more answers

Clayton drove at a constant rate on the highway for a trip to the beach. He did not make any stops along the way. The distance C

Nikolay [14]

The answer is the first 1 !!

Here is how we see if it is true!

If Clayton drives 60 miles per hour, that means, that after one hour has passed, they should have traveled 60 miles!

If we look at the number of hours that have passed between 1:30 and 4:30, it is 3 hours.

If someone travels 60 miles every hour that has passed, and they traveled for 3 hours. To find how far they have traveled we just need to multiply 60 miles by 3 hours!

Let's solve that!

60 × 3 = 180 miles!

Clayton started driving at 1:30 pm and went 60 miles per hour.

3 0

2 years ago

Hello again! This is another Calculus question to be explained.

podryga [215]

Answer:

See explanation.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Functions

Function Notation

Exponential Property [Rewrite]: $\displaystyle b^{-m} = \frac{1}{b^m}$
Exponential Property [Root Rewrite]: $\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}$

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

Step-by-step explanation:

We are given the following and are trying to find the second derivative at x = 2:

$\displaystyle f(2) = 2$

$\displaystyle \frac{dy}{dx} = 6\sqrt{x^2 + 3y^2}$

We can differentiate the 1st derivative to obtain the 2nd derivative. Let's start by rewriting the 1st derivative:

$\displaystyle \frac{dy}{dx} = 6(x^2 + 3y^2)^\big{\frac{1}{2}}$

When we differentiate this, we must follow the Chain Rule: $\displaystyle \frac{d^2y}{dx^2} = \frac{d}{dx} \Big[ 6(x^2 + 3y^2)^\big{\frac{1}{2}} \Big] \cdot \frac{d}{dx} \Big[ (x^2 + 3y^2) \Big]$