The first one is 46 because according to the order of operations in this problem you have to multiply first so you do 5.2 times 10 which is 52 . Next do 52 - 6 = 46. Next multiply 8 times 103 which is 824. Then you multiply the two (46 times 824) and you get 37904
Answer:
8.12 is the answer
Step-by-step explanation:
He needs 36 cookies.
First do 20 * .27 for the first twenty
then do 16 * .17 for the other 16 cookies
Add 5.4 + 2.72 = 8.12
Answer:
The answer is option d.
To find a we have to first find b
sin 60° = b / 10
b = 10 sin 60°
b = 5√3
sin 30° = b / a
b = 5√3
a = 5√3 sin 30°
a = 10√3
cos 30° = c / a
a = 10√3
c = 10√3 sin 30°
c = 15
cos 60° = d /10
d = 10 cos 60°
d = 5
a = 10√3 , b = 5√3 , c = 15 and d = 5
Hopethis helps.
Given:
Initial number of bacteria = 3000
With a growth constant (k) of 2.8 per hour.
To find:
The number of hours it will take to be 15,000 bacteria.
Solution:
Let P(t) be the number of bacteria after t number of hours.
The exponential growth model (continuously) is:
Where, 
is the initial value, k is the growth constant and t is the number of years.
Putting 
in the above formula, we get
Taking ln on both sides, we get
![[\because \ln e^x=x]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cln%20e%5Ex%3Dx%5D)
Therefore, the number of bacteria will be 15,000 after 0.575 hours.
To solve for f, you need to isolate/get the variable by itself in the equation:
4(0.5f - 0.25) = 6 + f Distribute 4 into (0.5f - 0.25)
(4)0.5f + (4)(-0.25) = 6 + f
2f - 1 = 6 + f Subtract f on both sides to get "f" on one side of the equation
2f - f - 1 = 6 + f - f
f - 1 = 6 Add 1 on both sides to get "f" by itself
f - 1 + 1 = 6 + 1
f = 7
PROOF
4(0.5f - 0.25) = 6 + f Substitute/plug in 7 into "f" since f = 7
4(0.5(7) - 0.25) = 6 + 7
4(3.5 - 0.25) = 13
4(3.25) = 13
13 = 13
