your messageConvert to number of atoms 294 grams AuTo convert 294 grams of Au to the number of atoms, we need to use the Avogadro's number, which is 6.022 x 10^23 atoms/mole. First, we need to find the number of moles of Au in 294 grams: 294 grams Au / 196.97 g/mole = 1.49 moles Au Next, we can calculate the number of atoms: 1.49 moles Au x 6.022 x 10^23 atoms/mole = 8.97 x 10^23 atoms Au Therefore, there are approximately 8.97 x 10^23 atoms of gold in 294 grams.PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!This figure is a rectangle with a semicircle on the shorter side.What is the perimeter of this figure?Use 3.14 for pi.A. 20.28 ftB. 30.28 ftC. 46.28 ftD. 74.24 ftTo find the perimeter of the figure, we need to add up the lengths of all the sides. Let's call the length of the rectangle "L" and the width "W". The rectangle has two sides of length L and two sides of length W, so the perimeter of the rectangle is: 2L + 2W The semicircle has a diameter equal to the width of the rectangle (W), so the circumference of the semicircle is: 1/2 (pi) W To get the total perimeter, we need to add the circumference of the semicircle to the perimeter of the rectangle. Since the semicircle only covers half of the width of the rectangle, we only need to add one width (W) to the perimeter of the rectangle. So the total perimeter is: 2L + 3W + 1/2 (pi) Wevaluate C(4,2)C(4,2) represents the number of ways to choose 2 items from a set of 4 distinct items. The formula for C(n,r) is n! / (r! * (n-r)!), where n is the total number of items and r is the number of items being chosen. Plugging in the values for C(4,2), we get: C(4,2) = 4! / (2! * (4-2)!) = 24 / (2 * 2) = 6 Therefore, there are 6 ways to choose 2 items from a set of 4 distinct items.Let f(x)=\sqrt(x) and g(x)=5\sqrt(x). Find (f-g)(x).(f-g)(x) represents the difference between f(x) and g(x). So we can write: (f-g)(x) = f(x) - g(x) Substituting the given expressions for f(x) and g(x), we get: (f-g)(x) = sqrt(x) - 5sqrt(x) To simplify this expression, we can factor out sqrt(x) as a common factor: (f-g)(x) = sqrt(x) * (1 - 5) Simplifying the expression in the parentheses, we get: (f-g)(x) = -4sqrt(x) Therefore, (f-g)(x) = -4sqrt(x)