Kevin's body metabolizes caffeine at a rate of 14.4% per hour (so the amount of caffeine in Kevin's body decreases by 14.4% each hour).

1. If Kevin consumes a cup of coffee with 86 mg of caffeine in it, how long will it take for Kevin's body to metabolize half of the 86 mg of caffeine?

2. If Kevin consumes an energy drink with 200 mg of caffeine in it, how long will it take for Kevin's body to metabolize half of the 200 mg of caffeine?

3. If Kevin consumes a cup of coffee with cc mg of caffeine in it, how long will it take for Kevin's body to metabolize half of the cc mg of caffeine? (Hint: your answer will be a numerical value.)

How can geometry be used to promote responsible stewardship? Type Please

Given two circles C1 and C2 in the same plane where C1 has a radius of a and C2 has a radius of b and the centers of the C1 and C2 have a distance of c apart. In terms of a,b, and c describe when the intersection of C1 and C2 would be zero points. prove this

State a possible definition for "small triangle" and comment on why such a definition eliminates the counterexamples allowing SAS to be true on the sphere.

Prove that any isometry maps a dinosaur to a dinosaur.

George wants to use square pavers that are 6 inches on each side to completely surround his flower garden. The garden is 12 feet long and 3 feet wide. How many pavers should George buy ? show work

Use the Law of Cosines to solve the triangle. (Let a = 11.9 ft and c = 12.1 ft. Round your answer for b to two decimal places. Round your answers for A and C to the nearest minute.)

one angle is 50 degrees, 30'

A major coffee supplier has warehouses in Seattle and San Jose. The coffee supplier receives orders from coffee retailers in Salt Lake City and Reno. The retailer in Salt Lake City needs 550 pounds of coffee, and the retailer in Reno needs 300 pounds of coffee. The Seattle warehouse has 800 pounds available, and the warehouse in San Jose has 650 pounds available. The cost of shipping from Seattle to Salt Lake City is $2.50 per pound, from Seattle to Reno $ 3 per pound, from San Jose to Salt Lake City $4 per pound, and from San Jose to Reno $2 per pound. Find the number of pounds to be shipped from each warehouse to each retailer to minimize the cost.

Graph the line with y-intercept ?5 and slope ?2.

use the construction of The circumcircle to construct Euler's line. Describle your construction in detail

Present Herglotz's theorem and its proof.

For triangle ABC, the lines:

- through A, parallel to BC;

- through B, parallel to AC;

- through C, parallel to AB

intersect to form a triangle. Prove that the triangle is similar to triangle ABC.

Find the equations of the line in the half-plane model of the hyperbolic plane that passes through the points (a) (1,1) and (1,6). (b) (2, 2) and (4,4)

type a report illustrating how geometry is used in industry. Be sure to include how the values of community, responsible stewardship and excellence affect the industry you researched.,