The radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the bones from a mastodon had lost 76.17% of their carbon-14. How old were the bones at the time they were discovered? Solution Hi. The way…
Sarah Meehan blends coffee for tasti-delight. She needs to prepare 190 pounds of blended coffee beans selling for $3.95 per pound. She plans to do this by blending together a high quality bean costing $5.00 per pound and a cheaper…
P^2 q – pq^2 – rp^2 q + rpq^2 Solution Answer: pq(1-r)(p-q) Looking at the equation we can see “pq” in each term. Therefore we can factor it out first and get pq(p-q-rp+rq) Using the grouping method we can do…
Please help solve this and show why Solution
Solution The angle must be in quadrant 4 (plot the given point!) The given point is on an isosceles right triangle, in quadrant 4, therefore, the angle is 315. (Note: the acute angle is 45°—but it must be in quadrant…
-8x-24=-8y 1=-1/3x+3/10y Solution -8x + 8y = 24 (-1/3)x + (3/10)y = 1 Divide the first equation by -8 and multiply the second equation by 30: x – y = -3…
2log(base 3)(x-4)+log(base 3)3=3 Solution Answer: x=7, 1 First, use the properties of logarithms to move the 2 up front. It can become an exponent: log3(x-4)2 + log33=3 Use properties of logarithms again to combine the two logs, since they have…
If x>0, simplify the expression below sqrt((x)/(1-(x-1)/(x))) Solution IN the denominator of the complex fraction, the Least common denominator is X: 1 – (x-1)/x = (x-(x-1))/ x = (x – x +1)/x = 1/x SInce the 1/x is in…
The following table gives information on the amount of sugar (in grams) and the calorie count in one serving of a sample of 13 varieties of Kellogg’s cereal. Sugar (grams)4151211867271420313Calories12020014011012080190100120190190110120 1. Which is the dependent variable and which is the independent…
Suppose two dice (one red, one green) are rolled. Consider the following events. A: the red die shows 4; B: the numbers add to 2; C: at least one of the numbers is 5; and D: the numbers do not…
