The financial planner for a beauty products manufacturer develops the system of equations below to determine how many combs
must be sold to generate a profit. The linear equation models the income, in dollars, from selling x plastic combs; the quadratic
equation models the cost, in dollars, to produce x plastic combs. According to the model, for what price is each comb being sold?
y=-0 03(x-95)+550

Can someone me out here number 4 plz

At wind speeds above 1000 centimeters per second (cm/sec), significant sand-moving events begin to occur. wind speeds below 1000 cm/sec deposit sand and wind speeds above 1000 cm/sec move sand to new locations. the cyclic nature of wind and moving sand determines the shape and location of large dunes. at a test site, the prevailing direction of the wind did not change noticeably. however, the velocity did change. fifty-nine wind speed readings gave an average velocity of x = 1075 cm/sec. based on long-term experience, σ can be assumed to be 245 cm/sec. (a) find a 95% confidence interval for the population mean wind speed at this site. (round your answers to the nearest whole number.) lower limit cm/sec upper limit cm/sec

Use the second shift theorem to find the inverse laplace transform of (e^−3s) / (s^2 + 2s − 3)