Tutor profile: Isaiah B.
Round 32,399 to the thousands place.
When rounding, always look at the number to the right of the number you are rounding. In this example, we will focus on the 3 in the hundreds place, as this is to the right of the thousands place, which we have been asked to round to. If it is 5 or greater, we round up. If it is less than 5, we round down. In this case 3 is less than 5, so we will round down to 32,000.
Simplify the following into one single exponent: (x^-3)(x^0)/(x^6)
First, simplify x^0 into 1. Any number to the power 0 will always be equal to 1. Then, turn x^-3 into 1/(x^3). Now multiply (1/x^3)(1/x^6). This simplifies to 1/x^9, which equals x^(-9).
A truck covers a distance of 15 km with a force causing it to accelerate at a rate of 0.7 m/s^2. Calculate the work done on the truck.
Work can be calculated using this formula: W=Fd (Work equals force times distance) In this case F=0.7 m/s^2 and d=15 km Therefore, work=W=Fd=(0.7 m/s^2)(15 km) = 10.5 J
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