Answer:
f(3) = 30
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 3x² + 2x - 3
f(3) is x = 3
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em>: f(3) = 3(3)² + 2(3) - 3
- Exponents: f(3) = 3(9) + 2(3) - 3
- Multiply: f(3) = 27 + 6 - 3
- Add: f(3) = 33 - 3
- Subtract: f(3) = 30
Notice that a can is a cylinder, which is basically two circles and one rectangle. Now, the question wants area of this rectangle.
You know the width of the rectangle (or the paper), which is 11cm. How do you find the length then?
Notice that the length of the rectangle is also the circumference of the circles. From here, use C = πd where C is circumference and d is diameter. The d is given, which is 7.5 cm. Depending on the question, π can be 3.14, 22/7 or the actual pi.
multiply π and 7.5cm and you get the circumference. Multiply this to 11cm and you get area of the rectangle.
It represents the ounces of water that the bottle can still hold.
Answer:
a) 0.345
b) 0.005
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 100
Standard Deviation, σ = 0.3
We are given that the distribution of lengths of lumber is a bell shaped distribution that is a normal distribution.
Formula:
a) P(length greater than 100.12 inches)
P(x > 100.12)
Calculation the value from standard normal z table, we have,
b) Standard error due to sampling:
P(length greater than 100.12 inches for the sample)
P(x > 100.12)
Calculation the value from standard normal z table, we have,
Answer:
4x+3−9x= 3-5x
5+3.2n−6−4.8n= -1.6n-1
2y−5(y−3)= -3y-15
−1/2(8b+3)+3b= -1b-1.5
Step-by-step explanation:
Add the numbers with the variables.
4x-9x= -5x
Then add the rest of the equation to it.
3-5x
Again, add the numbers with the variables and simplify the others.
3.2n- 4.8n= -1.6n
5-6= -1
That leads to....
-1.6n-1
Distribute the 5 into the parenthesis.
2y-5y- 15
Now, subtract the variables.
-3y-15
Distribute into the parenthesis.
-4b+(-1.5)+ 3b
Add the variables together.
-1b-1.5
