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Questions in mathematics

[Free] I'm having trouble finding facts that are in scientific notation. A good example is: a microbe is [tex]1.23 \times 10^{-3}[/tex] small. (This is not a real fact; I just made this up.)

[Free] The ratio of pink marbles to white marbles in samaras bag is equal to 1:5. If there are 100 white marbles, how many are pink?

[Free] Which of the following ratios is equivalent to \( \frac{1}{\cos} \)?

[Free] A piece of art is in the shape of an equilateral triangle with sides of 25 inches. Find the area of the piece of art. Round your answer to the nearest tenth. Answers: A. 221 in² B. 270 in² C. 541.3 in² D. None of these

[Free] A conveyor belt carries supplies from the first floor to the second floor, which is 15 ft higher. The belt makes a 60-degree angle with the ground. 1. How far do the supplies travel from one end of the conveyor belt to the other? Round to the nearest foot. 2. If the belt moves at 75 ft/min, how long, to the nearest tenth of a minute, does it take the supplies to move to the second floor? A. 17 ft, 0.2 min B. 21 ft, 12.8 min C. 26 ft, 24 min D. 9 ft, 0.9 min

[Free] What is vector \(\mathbf{v}\) in terms of \(\mathbf{i}\) and \(\mathbf{j}\) when \(P_1 = (5, 5)\) and \(P_2 = (-3, -2)\)?

[Free] Evaluate \( \frac{156}{8x+14} \) when \( x = 8 \).

[Free] If Julie ran 3.6 miles from home to the gym and then walked 0.7 miles to the store, she then ran from the store back home. If her total distance covered after she returned from the store was 7.2 miles, how far is it from the store to her home? Write and simplify an expression that would represent the distance she covered.

[Free] Michael decided to make French toast. He finds a recipe that calls for the following ingredients: - 8 slices of bread - 4 eggs - 1 cup of milk - 1 teaspoon of cinnamon How much egg is used for each slice of bread? Write your answer as a comparison statement.

[Free] The cup space is 10 inches by 10 inches. Each cup is 3 inches by 3 inches. The top of the space is closed, so you cannot stack the cups. How many cups can you place in the cup space?