Answer:
3y=6x=18 the equation must look like this y=mx+b where m is the slope in this case it is 2 and b is the y-intercept 18 hope it helps
just divide every term by 3 to isolate y
7°F. By the next morning, the temperature had risen to
–
1°F.
What was the change in temperature during the sleepover?
The change in temperature during Lena's sleepover was 6°F. It can therefore be said that the temperature rose by 6°F during the sleepover.
To find the change in temperature, subtract the initial temperature from the final temperature, in other words, Subtract the temperature on Friday night from the temperature on Saturday morning.
Change in temperature = Final temperature - Initial temperature
Change in temperature = (−1°F) - (−7°F)
Change in temperature = −1 + 7
Change in temperature = 6°F
So, the temperature rose by 6°F during the sleepover.
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Answer:
6F
Step-by-step explanation:
Answer:
a. The biomass weighs 2.30 * 10^7 kg after a year
b. It'll take 2.56 years to get to 4*10^7kg
Step-by-step explanation:
a.
k = 0.78,K = 6E7 kg
Given
dy/dt = ky(1- y/K)
Make ky dt the subject of formula
ky dt = dy/(1-y/K) --- make k dt the subject of formula
k dt = dy/(y(1-y/K))
k dt = K dy / y(K-y)
k dt = ((1/y) + (1/(K-y)))dy ---- integrate both sides
kt + c = ln(y/(K-y))
Ce^(kt) = y/(K-y)
Substitute the values of k and K
Ce^(0.78t) = y/(6*10^7 - y) ----- (1)
Given that y(0) = 2 * 10^7kg
(1) becomes
Ce^(0.78*0) = (2 * 10^7)/(6*10^7 - 2*10^7)
Ce° = (2*10^7)/(4*10^7
C = 2/7
Substitute 2/7 for C in (1)
2/7e^0.78t = y/(6*10^7 - y) ---(2)
We're to find the biomass a year later
So, t = 1
2/7e^0.78 = y/(6*10^7 - y)
0.62 = y/(6*10^7 - y)
y = 0.62(6*10^7 - y)
y = 0.62*6*10^7 - 0.62y
y + 0.62y = 0.62*6*10^7
1.62y = 0.62*6*10^7
1.62y = 3.72 * 10^7
y = 2.30 * 10^7kg.
Hence, the biomass weighs 2.30 * 10^7 kg after a year
b.
Here, we're to calculate the time it'll take the biomass to get to 4*10^7 kg
Substitute 4*10^7 for y in (2)
2/7e^0.78t = 4*10^7/(6*10^7 - 4*10^7)
2/7e^0.78t = 4*10^7/2*10^7
2/7e^0.78t = 2
e^0.78t = (2*7)/2
e^0.78t = 2
t = 2 * 1/0.78
t = 2.56 years
Hence, it'll take 2.56 years to get to 4*10^7kg
Answer:
Hope you understand my writing!
rolling a multiple of 3
rolling an odd number
rolling a number greater than 6
Find each probability of
P(5)
P(# less than 3)
P(odd)
P(13)
Answer:
1/12 , 1/3 , 1/2 , 1/2
Step-by-step explanation:
P(x) = favorable of x / total
plug in your conditions and you get the probablility
Answer:
1/12 for rolling a 5.
4/12 for multiples of 3. (3,6,9,12)
6/12 for rolling an odd number.(1,3,5,7,9,11)
6/12 for rolling a number greater than 6. (7,8,9,10,11,12)
Step-by-step explanation:
take for the tub to overflow if both the faucet and drain were open at the
same time?
Answer:
20
Step-by-step explanation:
Knowing that it is a 30-gallon bathtub.
And it fills at a rate of 3 gallons per minute.
But also drains 1.5 gallons per minute.
So this is for the first minute.
3 - 1.5 = 1.5
So there will be 1.5 gallons of water in the tub after the first minute.
Now do,
30 ÷ 1.5 = 20
It will take 20 full minutes for the bathtub to fill up.
Answer:
10
Step-by-step explanation: