In order to answer this question, we use the concept of ratio and proportion wherein we use the equation,
R1 / T2 = R2 / T1
where R is for rate and T is for time. Substituting the known values to the equation,
(600)/x = (400)/ 20
The value of x from the equation is 30. Thus, it will take 30 hours if the rate was adjusted to 400 gallons per minute.
Substitute in the values and solve.
1) B
For A:
3 = 4(1)
<u>This is NOT true.</u>
For B:
-4 = 4(-1)
<u>This IS true.</u>
For C:
-1 = 4(-4)
<u>This is NOT true.</u>
For D:
-4 = 4(1)
<u>This is NOT true.</u>
2) None. Possible solutions: (0,2) (1,-5)
For A:
2 = -7(1) + 2
2 = -7 + 2
<u>This is NOT true.</u>
For B:
-52 = -7(8) + 2
-52 = -56 + 2
<u>This is NOT true.</u>
For C:
-35 = -7(5) + 2
-35 = -35 + 2
<u>This is NOT true.</u>
For D:
-7 = -7(1) + 2
-7 = -7 + 2
<u>This is NOT true.</u>
Answer:
3⁷
Step-by-step explanation:
it's kinda messy but my step by step is in the picture. practically when you "multiply" an exponent (as long as they have the same base number) with another like 3⁴×3⁵ or (3⁴)⁵ you add the exponents together so you'd get 3⁴×3⁵=3⁹
when dividing an exponent by another exponent (with again, the same base number) you subtract the exponents like this: 3⁶÷3² or 3⁶/3² would equal 3⁴
Answer:
y=6/5y-9/5
Step-by-step explanation:
5y=6x-9
y=6/5y-9/5
Answer:
73 degrees
Step-by-step explanation:
Given that the temperature during a day can be modeled by a sinusoid.
At 4 am. lowest = 53 deg and at 4 pm highest = 99 deg
Amplitude = (99-53)/2 = 23
Mean temp = 76 deg
If 4 am is taken as t =0 then we have middle temp = 46 degrees at 10 a.m.
Hence equation would be of the form
T(t) =23 sin (pi t/12)+53 where T is the temperature and t is time in hours from 4 a.m.
At 8 am t =4
So T(4) = 23 sin pi/3 +53 = 19.92+53 =72.92
Nearly 73 degrees
