X/3-5=y
add 5 to both sides
x/3=y+5
now multiply both sides by 3
x=3(y+5)
which means
x=3y+15
Answer:
Since the number of buses needed to transport the members on each trip is a function of the number of members who went on each trip, then the independent variable(x) of the function is the number of members who went on each trip and the dependent variable (y) is the number needed. Then each point that represent the function has the form (x,y).
Then, the domain of the function is the set of values that can take the independent variable. In this case, x can take the values
, that is, A is the domain for this situation.
Answer:
268 mg
Step-by-step explanation:
Let A₀ = the original amount of caffeine
The amount remaining after one half-life is ½A₀.
After two half-lives, the amount remaining is ½ ×½A₀ = (½)²A₀.
After three half-lives, the amount remaining is ½ ×(½)²A₀ = (½)³A₀.
We can write a general formula for the amount remaining:
A =A₀(½)ⁿ
where n is the number of half-lives
.
n = t/t_½
Data:
A₀ = 800 mg
t₁ = 10 a.m.
t₂ = 7 p.m.
t_½ = 5.7 h
Calculations:
(a) Calculate t
t = t₂ - t₁ = 7 p.m. - 10 a.m. = 19:00 - 10:00 = 9:00 = 9.00 h
(b) Calculate n
n = 9.00/5.7 = 1.58
(b) Calculate A
A = 800 × (½)^1.58 = 800 × 0.334 = 268 mg
You will still have 268 mg of caffeine in your body at 10 p.m.
Answer:
51 - 10
Step-by-step explanation:
( 5
- 1)² = (5
- 1)(5
- 1)
Each term in the second factor is multiplied by each term in the first factor, that is
5
(5
- 1 ) - 1(5
- 1 )
Distribute both parenthesis, noting that
×
= 2
= 50 - 5
- 5
+ 1 ← collect like terms
= 51 - 10
78:2-27=12 cm (h rectangle)
27*12=324 cm² (A rectangle)
4*√324=
4*18=
72 cm (<span>perimeter of the square)</span>