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Assoli18 [71]
3 years ago
12

Manda swims 40 meters per minute. She uses the inequality below to calculate how many minutes, m, it takes her to swim at least

1,500 meters.
40m≥1,500
Which set of numbers makes the inequality true?

A. {24,25,37.5}
B. {25,28.5,37}
C. {37,39,40.5}
D. {37.5,42,43.5}
Mathematics
1 answer:
Paul [167]3 years ago
7 0

Answer:

A

Step-by-step explanation:

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Solve for X<br><br>could you explain the process of how to do this problem​
PSYCHO15rus [73]

<em>A</em><em>N</em><em>S</em><em>W</em><em>E</em><em>R</em>

x=24

Step-by-step explanation:

x+180+156=360

180+156=336

x+336=360

x=360-336

x=24

8 0
3 years ago
The length of a rectangle is increasing at a rate of 4 meters per day and the width is increasing at a rate of 1 meter per day.
puteri [66]

Answer:

\displaystyle \frac{dA}{dt} = 102 \ m^2/day

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Geometry</u>

Area of a Rectangle: A = lw

  • l is length
  • w is width

<u>Calculus</u>

Derivatives

Derivative Notation

Implicit Differentiation

Differentiation with respect to time

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

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle l = 10 \ meters<u />

<u />\displaystyle \frac{dl}{dt} = 4 \ m/day<u />

<u />\displaystyle w = 23 \ meters<u />

<u />\displaystyle \frac{dw}{dt} = 1 \ m/day<u />

<u />

<u>Step 2: Differentiate</u>

  1. [Area of Rectangle] Product Rule:                                                                 \displaystyle \frac{dA}{dt} = l\frac{dw}{dt} + w\frac{dl}{dt}

<u>Step 3: Solve</u>

  1. [Rate] Substitute in variables [Derivative]:                                                    \displaystyle \frac{dA}{dt} = (10 \ m)(1 \ m/day) + (23 \ m)(4 \ m/day)
  2. [Rate] Multiply:                                                                                                \displaystyle \frac{dA}{dt} = 10 \ m^2/day + 92 \ m^2/day
  3. [Rate] Add:                                                                                                      \displaystyle \frac{dA}{dt} = 102 \ m^2/day

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

Unit: Implicit Differentiation

Book: College Calculus 10e

8 0
3 years ago
Write the number 8.8 x 106 in standard form.
Musya8 [376]

Answer:

932.8

Step-by-step explanation:

Hope this helps!

3 0
2 years ago
2sin^2x - sinx - 3 = 0
e-lub [12.9K]
We have that
2sin²<span>x - sinx - 3 = 0
</span>
Let
A------> sin x
so
2A²-A-3=0

using a graph tool-----> to resolve the second order equation
see the attached figure

the solutions are
A=-1
A=1.5------> is not solution because sin x <span>can not be 1.5

the solution is
A=-1
therefore
sin x=-1
x=arc sin(-1)=-90</span>°

the answer is
sin x=-1
x=-90° or 270°

8 0
3 years ago
Gary has a 12gallon gas tank when he filled his tank up he pumped 8 gallons of gas what fraction of the tank had been empty
Assoli18 [71]
2/3 I believe is the answer
5 0
2 years ago
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