Answer:
129
Step-by-step explanation:
Each day, Monica measures the amount of change in the number of bacteria and this number from each day gives a geometric series
3, -6, 12, -24, ...... having first term 3 and the common ratio -2.
Then the sum of the amount of change in the bacteria after the seventh day will be ( 3 - 6 + 12 - 24 + 48 - 96 + 192) = 129 (Answer)
Answer:
10/12 or simplified its 5/6
Step-by-step explanation:
3+7 = 10
you keep the 12
10÷2 = 5
12÷2=6
common denominator
No it's impossible one is adding one is subtracting but both multiply by 7
Since and , we can rewrite the right side of the equation as
Using the identity , we can subtract from either side to obtain the identity
substituting that into our previous expression, the right side of our equation simply becomes
We can now write our whole equation as
Adding 2 to both sides:
dividing both sides by 3:
When 0 ≤ x ≤ π, tan x can only be equal to 1 when sin x = cos x, which happens at x = π/4, and it can only be equal to -1 when -sin x = cos x, which happens at x = 3π/4
Answer:97/125
Step-by-step explanation:
“As illustrated in the Venn diagram,
We let
U=[The total number of people at the sport center]
This implies that,
n(U)=125
G=[Those who use the gym]
This implies that,
n(G)=59
P=[Those who use the pool]
This implies that,
n(P)=70
T=[Those who use the track]
This implies that,
n(T)=55
a=[Those who use the gym only]
This implies that,
n(a)=59-(6+11+19)=59-36=23
b=[Those who use the pool only]
This implies that,
n(b)=70-(6+19+24)=70-49=21
c=[Those who use the track only]
This implies that,
n(c)=55-(6+24+11)=55-31=14
Also, number of people who use gym and track=11+23+19+6+14+24=97”