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A sailor judges the distance to a lighthouse by holding a ruler at arm's length and measuring the apparent height of the lighthouse. He knows that the lighthouse is actually 60 feet tall. If it appears to be 3 inches tall when the ruler is held 2 feet from his eye, how far away is it?

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general 10 months ago 3610

A population of bacteria begins with 1 bacterium and triples every hour. Which equation can be used to model this situation?A. y = 3xB. y = 3x^2C. y = x^3D. y = 3^x

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general 10 months ago 3255

Heather and Isabelle play a two-person game which is won by the first person to accumulate 10 points. At each turn Heather gains a point with probability of $\frac{2}{3}$ . If she doesn't get a point then Isabelle gets a point. Isabelle is now ahead 9 to 6. What is the probability that Isabelle will win? Express your answer as a common fraction.

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general 10 months ago 4365

A lottery exists where balls numbered 1 to 17 are placed in an urn. to win, you must match 6 balls chosen in the correct order, how many possible outcomes are there for this game

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general 10 months ago 3044

Dr. Potter provides vaccinations against polio and measles.Each polio vaccination consists of 444 doses, and each measles vaccination consists of 222 doses. Last year, Dr. Potter gave a total of 606060 vaccinations that consisted of a total of 184184184 doses.How many polio vaccinations and how many measles vaccinations did Dr. Potter give last year?

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general 10 months ago 2751

Assuming that a cheese sandwich consists of 2 slices of bread and 3 slices of cheese, determine the number of whole cheese sandwiches that can be prepared from 28 slices of bread and 45 slices of cheese.

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general 10 months ago 4169

Two similar trapezoids have areas of 49 cm2 and 9 cm2. find their similarity ratio.

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general 10 months ago 3735

Use complete sentences to explain the process of converting a logarithmic equation to its equivalent exponential form to obtain solutions to the graph of the logarithmic equation.

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general 10 months ago 9948

Jerrod owes $2,000 on a credit card that charges him an annual percentage rate of 18%. if jerrod stopped making payments, how long would it be before the balance on his credit card reached $4,000?

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general 10 months ago 4904

For bone density scores that are normally distributed with a mean of 0 and a standard deviation of 1, find the percentage of scores that area. significantly high (or at least 2 standard deviations above the mean).b. significantly low (or at least 2 standard deviations below the mean).c. not significant (or less than 2 standard deviations away from the mean).

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general 10 months ago 5749

Which of the following is the equation of a line in slope-intercept form for a line with slope = 1/3 and y-intercept at (0, -4)? A. y =1/3 x + 4 B. y =1/3 x - 4 C. y = -1/3x - 4 D. x = 1/3y - 4

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general 10 months ago 6750

simone has discovered a blow out sale at a shop in the mall. the cost of the 2 sweaters , 5 shirts and 3 pairs of pants is 172. the cost of the 5 sweaters and 8 pairs of pants is 269. the cost of 4 shirts and 1 pair of pants is 74 if x represents sweaters, y represents shirts and z represents pants which systems of equations can be used to determine the sale price of the sweaters the shirts and the pants

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general 10 months ago 7618

Find 10 partial sums of the series. (round your answers to five decimal places.) ∞ 15 (−4)n n = 1

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general 10 months ago 7023

An Indy car driver has to be a certain height to fit into the race car. The following inequality 175<_3x-17<_187, where x represents the height of the driver in inches. What is the range for the height of an Indy car driver?

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general 10 months ago 3802

The displacement, d, in millimeters of a tuning fork as a function of time, t, in seconds can be modeled with the equation mc001-1.jpg. What is the maximum displacement of the tuning fork? 0.2 mm 0.4 mm 0.8 mm 2.5 mm

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general 10 months ago 6109

ming rolls a number cube, tosses a coin, and chooses a card from two cards marked a and b. if an even number and heads appears, ming wins, no matter which card is chosen. otherwise lashonda wins. find p(ming wins)

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general 10 months ago 8738

A jewelry box with a square base is to be built with silver plated sides, nickel plated bottom and top, and a volume of 30 cm3. if nickel plating costs $1 per cm2 and silver plating costs $3 per cm2, find the dimensions of the box to minimize the cost of the materials

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general 10 months ago 7628

A candy store sells a bag of cotton candy for $0.70 and chocolate bars for $0.50. Sheila bought some cotton candy and several chocolate bars from the store and spent a total of $6.30. How many bags of cotton candy and bars of chocolate did Sheila purchase?A 4B 7C 11D 13E 17

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general 10 months ago 4236

The weight of corn chips dispensed into a 14-ounce bag by the dispensing machine has been identified as possessing a normal distribution with a mean of 14.5 ounces and a standard deviation of 0.2 ounce. suppose 100 bags of chips are randomly selected. find the probability that the mean weight of these 100 bags exceeds 14.6 ounces.

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general 10 months ago 8440

A parabola has its focus at (1,2) and its directrix is y=-2. the equation of this parabola could be

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general 10 months ago 2979