Answer:
21n² - 28n + 7
Step-by-step explanation:
Each term in the second factor is multiplied by each term in the first factor, that is
3n(7n - 7) - 1(7n - 7) ← distribute both parenthesis
= 21n² - 21n - 7n + 7 ← collect like terms
= 21n² - 28n + 7
Answer:
x = 6.3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] tan∅ = opposite over adjacent
Step-by-step explanation:
<u>Step 1: Define</u>
We have a right triangle triangle. We can use trig to find the missing length.
<u>Step 2: Identify Variables</u>
<em>POV from the angle measure</em>
Angle = 64°
Opposite = 13
Adjacent = <em>x</em>
<em />
<u>Step 3: Solve for </u><em><u>x</u></em>
- Substitute: tan64° = 13/x
- Multiply <em>x </em>on both sides: xtan64° = 13
- Isolate <em>x</em>: x = 13/tan64°
- Evaluate: x = 6.34052
Answer:
5,976 workers
Step-by-step explanation:
498 times 12 = 5976
Elevators starts 90 feet below ground level after 15s it is 20 feet below ground level. So the distance it has gone up is 70 feet because 90-20=70. Use this common equation: speed =distance/time and put your values in to get the correct answer. Time is 15s. You can eliminate c and d before you even start as the elevator is moving upwards. For the questions below just use a calculator.
Answer:
You would write it as 3 * 10^6
Step-by-step explanation:
To figure this out, look at the decimal place: you got a huge number. 3,000,000. that's the decimal place, right at the far right side. Move the decimal place until you got a number less than 10, so until the number is 3. How ever many times you had to move the decimal place (in this case six times) is the number you put as the power. So the expression is:
3 * 10^6