Solve the problem.Anne and Nancy use a metal alloy that is 17.68% copper to make jewelry. How many ounces of a 10% alloy must be mixed with a 22% alloy to form 100 ounces of the desired alloy?
A. 38 ounces
B. 64 ounces
C. 69 ounces
D. 36 ounces
Answer: D
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Solve.Two radio transmitters are located 400 miles apart on a shore and send simultaneous signals to a ship that is 200 miles offshore. The signal from transmitter T arrives at the ship 300 microseconds after the signal from transmitter S. The signals travel at the speed of 0.186 miles per microsecond. Find the equation of the hyperbola with foci S and T on which the ship is located. Let the center point between the transmitters correspond to the point (0, 0) and let the x-axis be oriented such that it contains the two transmitters. (Hint: For any point along the hyperbola, the absolute value of the difference of its distances from the foci is 2a.)
A. -
= 1
B. -
= 1
C. -
= 1
D. -
= 1
Show that the set has cardinal number ?0 by establishing a one-to-one correspondence between the natural numbers and the given set. Be sure to indicate the general correspondence.{8, 13, 18, 23, 28, ...}
A.
1, | 2, | 3, | 4, | 5, ..., n, ... |
? | ? | ? | ? | ? | ? |
8, | 13, | 18, | 23, | 28, ..., 5n + 2, ... |
B.
1, | 2, | 3, | 4, | 5, ..., n, ... |
? | ? | ? | ? | ? | ? |
8, | 13, | 18, | 23, | 28, ..., 4n - 2, ... |
C.
1, | 2, | 3, | 4, | 5, ..., n, ... |
? | ? | ? | ? | ? | ? |
8, | 13, | 18, | 23, | 28, ..., 4n + 3, ... |
D.
1, | 2, | 3, | 4, | 5, ..., n, ... |
? | ? | ? | ? | ? | ? |
8, | 13, | 18, | 23, | 28, ..., 5n + 3, ... |
Use the order of operations to evaluate each problem.3 ? (7 - 1) +
A. 31 B. 25 C. 39 D. 27
Use a calculator to find the trigonometric values. Express your answers in hundredths.cos 37°
A. 0.65 B. 0.77 C. 0.80 D. 0.92