Answer: y = 2x + 3, The notebooks are independent and the total price is dependent.
Answer:
32 bacteria exist in the culture after 8 hours.
Answer:
a). V
= 14.6208 litres : b). = 0.29844 Litres/sec
Step-by-step explanation:
a).
Step 1.
Volume when one half of rod is inserted = (50/2)*(2.2) = 55cm³
Step 2.
As we know that,
V
= (ρV
IΔT)
/ (ρL
)
where
= 290 - 4.2 = 285.8K
sepecififc heat of aluminum = 0.215 cal/g
density = 2.7 g/cm3
= (2.7)*(55)*(0.215)*(285.8) / (0.125)*(20900)*(1/4186)
V
= 14.6208 litres
b).
Step 1.
As we know that
P = kA(dT/dx) = 31*2.2*[(290-4.2)/25]
= 779.6624 W
Step 2.
Now, approximate boil rate of helium is:
P/ρL
= [(779.6624)*(10^3g/kg)] / [(0.125)*(20900)]
= 0.29844 Litres/sec
If x = 1, then 3*1 = 3 which when modded with 5, we get 3 as a remainder. In other words, 3/5 = 0 remainder 3. We don't use the quotient at all when it comes to modular arithmetic. All we care about is the remainder.
If x = 2, then 3*2 = 6 which leads to remainder 1 when we divide by 5. Therefore, 3x = 1 (mod 5) when x = 2.
If x = 3, then 3*3 = 9 = 4 (mod 5) because 9/5 = 1 remainder 4.
So 3x = 4 (mod 5) when x = 3.
<h3>The final answer is C) 3</h3>
We don't need to check D since x = 3 is a solution and it's smaller than x = 4.
If you wanted to check x = 4, then 3*4 = 12 = 2 (mod 5) because 12/5 yields a remainder of 2.
Here is a little tip for this: The unit above cancels the unit below. So in this problem you are asked to convert pounds to ounce. So your equation will look like this.
ounce = 2.93 pounds

Your ratio should involve the conversion factor. So 16 and 1 is involved canceling A and D. Then, Notice that you started with poubls. Then the ratio must have pounds at the bottom to cancel the units leaving ounces.