Solution: (3x + 4y - 3z) x (3x + 4y + 3z)
2.
0.05 miles
3.
a
4.
a
5.
1 Book for ever 10$
6.
28 MPH
Thats it!
Hope this helps
Answer:
85.5 minutes
Step-by-step explanation:
The amount of an element that will remain after time t can be expressed as a function of initial amount N0, time t, and half life th as;
Nt = N0 × e^(-λt)
Where;
Decay constant λ = ln(2)/th, substituting into the equation;
Nt = N0 × e^(-ln(2)t/th)
We need to make t the subject of formula;
Nt/N0 = e^(-ln(2)t/th)
ln(Nt/N0) = -ln(2)t/th
t = ln(Nt/N0) ÷ -ln(2)/th
Given;
Initial amount N0 = 760g
Final amount Nt = 11 g
Half life th = 14 minutes
the nearest tenth of a minute, would it take the element to decay to 11 grams can be derived using the formula;
t = ln(Nt/N0) ÷ -ln(2)/th
Substituting the given values;
t = ln(11/760) ÷ -ln(2)/14
t = 85.5 minutes
Answer:
<h2>x = 7 cm</h2>
Step-by-step explanation:
The perimeter of the given triangle:
P = (2x + 1) + (x + 2) + (3x - 9) and P = 36 cm.
Therefore we have the equation:
2x + 1 + x + 2 + 3x - 9 = 36 <em>combine like terms</em>
(2x + x + 3x) + (1 + 2 - 9) = 36
6x - 6 = 36 <em>add 6 to both sides</em>
6x = 42 <em>divide both sides by 6</em>
x = 7
Answer:
m∠B = 69°
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Complementary Angles add up to 90°
Step-by-step explanation:
<u>Step 1: Define</u>
m∠A = (x + 9)°
m∠B = (7x - 15)°
<u>Step 2: Set up equation</u>
m∠A + m∠B = 90°
(x + 9)° + (7x - 15)° = 90°
<u>Step 3: Solve for </u><em><u>x</u></em>
- Combine like terms: 8x - 6 = 90
- Add 6 to both sides: 8x = 96
- Divide both sides by 8: x = 12
<u>Step 4: Find m∠B</u>
- Define: m∠B = (7x - 15)°
- Substitute: m∠B = (7(12) - 15)°
- Multiply: m∠B = (84 - 15)°
- Subtract: m∠B = 69°
