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3 years ago

12

Susan's elevation at the top of a mountain is 1,530 meters. After 4 hours of climbing down her elevation is 680 meters. What is

Susan 's average change in elevation, in meters per hour?

1 answer:

Nitella [24]3 years ago

4 0

Answer:

C) -212.5

Step-by-step explanation:

I've done this question on a quiz before.

Hope I helped!! :D

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What are 2 different ways the number 149.06

Ymorist [56]

You can write it in expanded form as 100+40+9+.06
or in word form as one hundred fourth nine point zero six

7 0

3 years ago

It cost $200 to rent a room at an event center. The event center charges an additional $13 per person for food. Write an algebra

nydimaria [60]

Answer:13n=200

Step-by-step explanation$13 for pood per person. n is the number of people. 13 times n equals 200

8 0

3 years ago

Isaiah and Cooper work at a dry cleaners ironing shirts. Isaiah can iron 25 shirts per hour, and Cooper can iron 30 shirts per h

Volgvan

Answer:

See Explanation

Step-by-step explanation:

$25x + 30y = 340\\y = 2x\\$

x=number of hours Isaiah worked.

y=number of hours Cooper worked

4 0

3 years ago

What is the derivative of 1/square root 4x.

Bumek [7]

Answer:

$\displaystyle \frac{d}{dx} \bigg[ \frac{1}{\sqrt{4x}} \bigg] = \frac{-1}{4x^\bigg{\frac{3}{2}}}$

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>

Exponential Properties

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

<u>Calculus</u>

Differentiation

Derivatives
Derivative Notation

Derivative Property [Multiplied Constant]: $\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)$

Derivative Rule [Basic Power Rule]:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify.</em>

$\displaystyle \frac{d}{dx} \bigg[ \frac{1}{\sqrt{4x}} \bigg]$

<u>Step 2: Differentiate</u>

Simplify: $\displaystyle \frac{d}{dx} \bigg[ \frac{1}{\sqrt{4x}} \bigg] = \bigg( \frac{1}{2\sqrt{x}} \bigg)'$
Rewrite [Derivative Property - Multiplied Constant]: $\displaystyle \frac{d}{dx} \bigg[ \frac{1}{\sqrt{4x}} \bigg] = \frac{1}{2} \bigg( \frac{1}{\sqrt{x}} \bigg)'$
Rewrite [Exponential Rule - Root Rewrite]: $\displaystyle \frac{d}{dx} \bigg[ \frac{1}{\sqrt{4x}} \bigg] = \frac{1}{2} \bigg( \frac{1}{x^\Big{\frac{1}{2}}} \bigg)'$
Rewrite [Exponential Rule - Rewrite]: $\displaystyle \frac{d}{dx} \bigg[ \frac{1}{\sqrt{4x}} \bigg] = \frac{1}{2} \bigg( x^\bigg{\frac{-1}{2}} \bigg)'$
Derivative Rule [Basic Power Rule]: $\displaystyle \frac{d}{dx} \bigg[ \frac{1}{\sqrt{4x}} \bigg] = \frac{1}{2} \bigg( \frac{-1}{2} x^\bigg{\frac{-3}{2}} \bigg)$
Simplify: $\displaystyle \frac{d}{dx} \bigg[ \frac{1}{\sqrt{4x}} \bigg] = \frac{-1}{4} x^\bigg{\frac{-3}{2}}$
Rewrite [Exponential Rule - Rewrite]: $\displaystyle \frac{d}{dx} \bigg[ \frac{1}{\sqrt{4x}} \bigg] = \frac{-1}{4x^\bigg{\frac{3}{2}}}$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

5 0

3 years ago

2 hexagons are similar. if the ratio of their perimeters is 8:5, and a side of the larger hexagon measures 32 cm. find the lengt

ICE Princess25 [194]

Answer:

20 cm

Step-by-step explanation:

An hexagon has 6 equal sides therefore its perimeter is obtained by summing up all the values of the 6 sides

For the bigger hexagon, the perimeter = 32 + 32 + 32 +32 + 32 + 32

or 6 *32

= 192 cm

Next, we'll calculate the perimeter of the smaller hexagon

Since their perimeters are in the ratio 8: 5

Let x represent the perimeter of the smaller hexagon

This gives;

8 : 5 = 192 : x

change to fraction

8/5 = 192 /x

cross multiply

8x = 192*5

8x = 960

Divide both sides by the coefficient if x which is 8

x = 120 cm

Since all sides of an hexagon are equal, we'll simple divide the value of the perimeter by the number of sides of the hexagon

120/6

20 cm

Therefore, the length of the corresponding smaller hexagon is 20 cm

8 0

3 years ago