Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
<u>Calculus</u>
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Step-by-step explanation:
<u>Step 1: Define</u>
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<u>Step 2: Differentiate</u>
- Basic Power Rule:
- Simplify Exponents:
- Divide:
- Multiply:
Answer: There are 5 nickels and 10 quarters.
Step-by-step explanation:
Let x = Nickels , y= Quarters.
Then x+y = 15
⇒ y=15-x (i)
1 nickel = 5 cents , 1 quarter = 25 cents
$2.75 = 275 cents [ 1 dollar = 100 cents ]
Then, 5x+25y= 275 (ii)
Substitute value of y from (i)
5x+25 (15-x)=275
⇒ 5x + 375 - 25x =275
⇒ -20x= 275-375
⇒ -20x= -100
⇒ x = 5 [divide both sides by -20]
Put this in (i) , we get y= 15-5=10
Hence, there are 5 nickels and 10 quarters.
The first one is the answer because
|6-5|<3 and 1<3
|4-5|<3 and -1<3
|2-5|<3 and -3<3
|0-5|<3 and -5<3
|-2-5|<3 and -7<3
|-4-5|<3 and -9<3
|-6-5|<3 and -11<3
Answer:
the answer is 9.7×10 to the fourth power
Step-by-step explanation:
Answer:
The ratio of this number to the rectangle’s area is 9:32.
Step-by-step explanation:
The information provided are:
- Tom made a square measuring 8 feet by 8 feet.
- He had 18 friends stand inside it as if they are watching a band at a small club.
The area of the square is:
<em>A</em> = (side)²
The number of people standing insider the square is:
<em>n</em> = 18
Compute the ration of <em>n</em> to <em>A</em> as follows:
Thus, the ratio of this number to the rectangle’s area is 9:32.
