Answer:
no
Step-by-step explanation:
Answer:
k = 8
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
-84 = -2(2 + 5k)
<u>Step 2: Solve for </u><em><u>k</u></em>
- Divide -2 on both sides: 42 = 2 + 5k
- Isolate <em>k</em> term: 40 = 5k
- Isolate <em>k</em>: 8 = k
- Rewrite: k = 8
<u>Step 3: Check</u>
<em>Plug in k into the original equation to verify it's a solution.</em>
- Substitute in <em>k</em>: -84 = -2(2 + 5(8))
- Multiply: -84 = -2(2 + 40)
- Add: -84 = -2(42)
- Multiply: -84 = -84
Here we see that -84 does indeed equal -84.
∴ k = 8 is the solution to the equation.
Answer:
y = 11
x = 8.6
Step-by-step explanation:
The small triangle with 30,32,y looks like right triangle
so according to formula a^2 + b^2 = c^2
so 30^2 + y^2 = 32^2
900 + y^2 = 1024
y^2 = 124 => y = 11
The larger triangle also looks like a right triangle
so according to formula a^2 + b^2 = c^2
(30 + 10)^2 + 22^2 = (32 + x)^2
1600 + 44 = (32 + x)^2
so (x + 32)^2 = 1644
x + 32 = 40.55
x = 40.55 = 32 = 8.55 = 8.6
I dont have a calculator, but 1000(1 plus .145)^12..... I guess
This is a perfect example of exponential decay. In this case the growth factor should be represented by a fraction, and it is! This forest, starting out with apparently ( 800? ) pine trees, has a disease spreading, which kills 1 / 4th of each of the pine trees yearly. Therefore, the pine trees remaining should be 3 / 4.
Respectively 3 / 4 should be the growth factor, starting with 800 pine trees - the start value. This can be represented as such,
- where a = start value, b = growth factor, t = time ( <em>variable quantity</em> )
____
Thus, the function 
can model this problem. The forest after t years should have P( t ) number of pine trees remaining.
