Answer:
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Step-by-step explanation:
Answer:
35 is the integer that represents the change in number of gallons of water in the tank after 7 days
Step-by-step explanation:
The water tank leaks 5 gallons in one day.
So if there is leakage of 5 gallons a day, then after 7 days the total leakage will be:
Total Leakage = Leakage per day * Total number of days
= 5 Gal/day * 7 day
= 35 Gallons
So, 35 is the integer that represents the change in number of gallons of water in the tank after 7 days ..
Answer:
$50,100
Step-by-step explanation:
Given the scatter plot and the linear model, we can estimate that the total sales for the company after 40 months will be close to $50,000. However, in order to get a more precise answer, we can solve for the total sales, 'y', based on the number of months, 'x', in the given linear model:
y = 0.94(40) + 12.5 = 37.6 + 12.5 = 50.1
Since the amount of sales is in multiples of $1000:
50.1 * 1,000 = $50,100
The potential energy, E, of the penny is given by E=mgh. The energy, Q, required to raise the temperature of an object by an amount ΔT is given by Q=mcΔT. We can equate these two to get the result but we must use proper units and include the 60%:
(0.6)mgh=mcΔT
We see we can divide out the mass from each side
0.6gh=cΔT, then 0.6gh/c=ΔT
(0.6)9.81(m/s²)50m/385(J/kg°C) = 0.7644°C
since this is the change in temperature and it started at 25°C we get
T=25.7644°C
As you can see the result does not depend on mass. The more massive the copper object the more potential energy it will have to contribute to the heat energy, but the more stuff there will be to heat up, and the effect is that the mass cancels.
Elsa's answer is incorrect since there is a solution of the given equation. In the given logarithmic problem, we need to simplify the problem by transposing log2(3x+5) in the opposite side. The equation will now be log2x-log2(3x+5)=4. Using properties of logarithm, we further simplify the problem into a new form log (2x/6x+10)=4. Then transform the equation into base form 10^4=(2x/6x+10) and proceed in solving for x value which is equal to 1.667.