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Q: How many four-digits numbers can be formed under the following conditions?
(a) Leading digits cannot be zero.
(b) Leading digits cannot be zero and no repetition of digits is allowed.
(c) Leading digits cannot be zero and the number must be a multiple of 5.
Find the equation for each of the following items below- A line that passes through (6,2) and has a slope of 2. A line that passes though the points (2,4) and (8,16) and A circle with a radius of 9 and a midpoint at (3,3).
What is the velocity (vector) of the particle as it passes through the point P? Find an expression for the kinetic energy E of the particle, given in terms of its mass m and its speed v by E = 0.5mv2.
the population of a city was 94 thousand in 1992. the exponential growth rate was 1.6 per year. find the exponential
Perform the following division
A gardener bought five geraniums, three rose bushes and four evergreen bushes from a nursery that had fourteen geraniums, twelve rose bushes and only five evergreen bushes. How many choices did the gardener have?
Randy invested his inheritance in an account that paid 6.1% interest, compounded continuously. After 5 years, he found that he now had $51,426.94. What was the original amount of his inheritance?
A car dealership has 8 red ,9 silver and 5 black cars on the lot . Ten cars are randomly chosen to be displayed in front of the dealership.
During a marathon, Kim our champion cyclist is having struggles. At the halfway checkpoint she is behind the leader, Allison by 10 miles. Kim still has a lot of energy left and pacing herself at a constant 15 miles per hour.
Verify that the function f(x) = e^-2x satisfies the hypothesis of mean value theorem on the interval [0, 3] and find all the number c that satisfy the conclusion of the mean value theorem.
What is the total amount of money you are willing to invest in this business and what item are you going to make and sell? Why?
its believed that as many as 22 of adults over 50 never graduated from high school. we wish to see if this percentage
Solve the given expression
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