Pi is 3.14
1st # is 3.13
2nd # is 3.15
These numbers are irrational because pi=infinity
( I am not exactly sure if this is right so don't blame me if you get this wrong, I just tried to help.....) :T
Answer:
Step-by-step explanation:
- Let (applicable to all three lines below)
- Hard candy = x kg with price $1.60/kg
- Gummy worms = y kg with price $2.20/kg
- Total weight = 50 kg with mixed price $1.75/kg
<u>Required equations:</u>
- x + y = 50 total weight
- 1.60x + 2.20y = 50*1.75 total price
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<u><em>Note</em></u><em>. It says don't solve but the solution below for those who is interested to know the answer.</em>
<u>Simplify the second equation and solve by substitution x = 50 - y:</u>
- 1.6(50 - y) + 2.2y = 87.5
- 80 - 1.6y +2.2y = 87.5
- 0.6y = 7.5
- y = 7.5/0.6
- y = 12.5
<u>Find the value of x:</u>
<u>Hard candy</u> = 37.5 kg and <u>gummy worms</u> = 12.5 kg
Answer:
General Formulas and Concepts:
<u>Calculus</u>
Limits
Limit Rule [Variable Direct Substitution]:
L'Hopital's Rule
Differentiation
- Derivatives
- Derivative Notation
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Derivative Rule [Chain Rule]:
Step-by-step explanation:
We are given the limit:
When we directly plug in <em>x</em> = 0, we see that we would have an indeterminate form:
This tells us we need to use L'Hoptial's Rule. Let's differentiate the limit:
Plugging in <em>x</em> = 0 again, we would get:
Since we reached another indeterminate form, let's apply L'Hoptial's Rule again:
Substitute in <em>x</em> = 0 once more:
And we have our final answer.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
Answer:
The quadratic equation has one real root with a multiplicity of 2.
Step-by-step explanation:
Given a quadratic equation:
You can find the Discriminant with this formula:
<em> </em>In this case you have the following quadratic equation:
Where:
Therefore, when you substitute these values into the formula, you get that the discriminant is this:
Since , the quadratic equation has one real root with a multiplicity of 2 .
Answer:
Expression B
Step-by-step explanation:
<em>Let us find the information in the question</em>
- Alejandro has gon to school of the last 35 days
- We need to find the expression that represents the number of days Alejandro has gone to school.
<em>We must write the given information in an expression then look for it in the choices.</em>
∵ He has gone of 35 days
→ "of" means times (×)
∴ The days that he has gon = 35 ×
<em>The expression that can be used to determine the number of days he has gone to school is</em> 35 ×
The choices are:
A)
B) 35 ×
C) ÷ 35
D) ÷ 35
The answer is B