Answer:
0, π
Step-by-step explanation:
cos x sin x = sin x
cos x sin x - sin x = 0
sin x (cos x - 1) = 0
sin x = 0, x = 0, π
cos x - 1 = 0
cos x = 1, x = 0
So answers: 0, π
Answer: After 7 years the population will be one-half the initial amount.
Step-by-step explanation:
Given: Initial population = 500,000
The population declines according to the equation:
, where P is the population in t years later.
One-half the initial amount = 0.5 x 500,000
= 250,000
Put P(t)=250,000, we get

Hence, After 7 years the population will be one-half the initial amount.
Answer:
466.2 ft²
Step-by-step explanation:
10x24=240
1/2
12²=226.194671
240+226.194671=466.194671
Answer:
(1,4)
x= 1
y= 4
(I checked on desmos and this is correct)
Step-by-step explanation:
I'm going to solve this by substitution
To do this we need to get a variable by istelf in any equation
We'll start with 18x-2y=10
We can add 2y and divide by 2 to get
y=9x-5
This is what y will equal for now and we can plug this in for y in the second equation
3x+16(9x-5)=67
This is rather easy to solve
147x-80=67
147x=147
this means that x=1
We can then use this value for x and plug it into any equation
let's just do the first one
18*1-2y=10
This is easy to solve as well and you should get
-2y=-8
y=4
this means that x=1
y=4
Answer:
5/10
Step-by-step explanation: