Answer:
Step-by-step explanation:
Part a is AB and CD because those lines are symmetrical.
Part D is the angle is the same as A so D is 30 as well. then for b and c since those are the same you take 180-30 to get 150 for both angles
Answer:
The slope of the equation is 23
Step-by-step explanation:
First, we must simplify/solve the equation in order to find the slope
Let's get rid of the parentheses
y - 5 = 23x + 92
Then, combine like terms by moving 5 to the right side of the equation
y - 5 + 5 = 23x + 92 + 5
y = 23x + 97
The slope is always the number that is paired with "x"
The nails cost the company $33669.
$387×$87=$33669.
Answer:
![r(n)=14,000(0.50)^n](https://tex.z-dn.net/?f=r%28n%29%3D14%2C000%280.50%29%5En)
Step-by-step explanation:
we know that
The equation of a exponential decay function is equal to
![r=a(1-r)^n](https://tex.z-dn.net/?f=r%3Da%281-r%29%5En)
where
r is the number of bacteria remaining
n is the number of hours since the antibiotic was applied
a is the initial value
r is the rate of change
we have
![a=14,000\ bacteria\\r=50\%=50/100=0.50](https://tex.z-dn.net/?f=a%3D14%2C000%5C%20bacteria%5C%5Cr%3D50%5C%25%3D50%2F100%3D0.50)
substitute
![r(n)=14,000(1-0.50)^n](https://tex.z-dn.net/?f=r%28n%29%3D14%2C000%281-0.50%29%5En)
![r(n)=14,000(0.50)^n](https://tex.z-dn.net/?f=r%28n%29%3D14%2C000%280.50%29%5En)
Answer: 4 hours
Step-by-step explanation:
First, set up an equation. We know that Bob spent $30 on playing paintball so we use that as our 'answer.' We need to find how many hours Bob played so we need to use x, a variable to find it. We also add 16 because we need to account for the entry fee.
3.50x + 16 = 30
Secondly, solve for x. Move 16 across the equal sign(=). Every time you move across the =, you're going to want to change the sign (if it's addition or subtraction). Since it was +16 and we're moving it, it's now -16.
3.50x = 30 - 16
Calculate 30 - 16 = 14.
Now we have
3.50 x = 14.
To calculate x, we're going to need to divide 3.50 from x. Since we multiplied by x we need to do the opposite across the =.
x = 14 / 3.50
x = 4
Bob spent 4 hours playing paintball.
You can plug it in to check answers as well
3.50 (4) +16 = 30