Math Questions

The milligrams of aspirin in a person's body is given by the equation a = 500 (3/4)^t, where t is the number of hours since the patient took the medicine. a. How much aspirin will be in the patient's body after two hours? b. In the equation, what does the 500 tell us about the situation? c. In the equation, what does the % tell us about the situation? d. Graph the equation for values of t between 0 and 4.

Evaluate each logarithm. Round to the nearest thousandth when necessary. (Use a calculator for "log" and "In." If the log as a base number, use the Change of Base Formula: loga c= logc/loga 9) log 17 10) In 0.5 11) log3 4

A blueprint of a house shows a living room that is 15 square inches. If the blueprint's scale is 1 inch : 4 feet, what is the actual square footage of the living room space? square feet

If triangle LMN has an obtuse angle at vertex M, which statements could be true? Check all that apply. Triangle LMN is an obtuse triangle. The angle at vertex L is acute. The angle at vertex L is right. The angle at vertex N is right. The angle at vertex N is acute. Triangle LMN is a right triangle.

Imagine a very large connected graph that has 650 even vertices and no odd vertices. a) Does an Euler path exist for this graph? Explain. b) Does an Euler circuit exist for this graph? Explain. a) Choose the correct answer below. A. Yes. There are no odd vertices. B. Yes. The graph is sufficiently large that an Euler path will exist regardless of the number of even and odd vertices. C. No. There are too many even vertices for an Euler path to exist regardless of the number of odd vertices. D. Yes. There are sufficiently many even vertices that an Euler path will exist regardless of the number of odd vertices. E. No. The graph is too large for an Euler path to exist regardless of the number of even or odd vertices. F. No. There are no odd vertices.

Amy wants to paint the ceiling of her restaurant. The ceiling is in the shape of a square. Its side lengths are 44 feet. Suppose each can of paint will cover 242 square feet. How many cans will she need to paint the ceiling?

A furniture store bought a couch for $425 and marked the price up by 70%. Angela bought the couch with a 6% tax. How much did Angela pay for the couch?

Equation x-x1/cosθ = y-y1/sinθ = r, may represents - (A) Equation of straight line, ife is constant and r is variable. (B) Equation of a circle, if r is constant & is variable. (C) A straight line passing through a fixed point & having a known slope (D) A circle with a known centre and given radius.

Matthew purchased a desk that was on sale for 45% off the original price of $480. If the sales tax was 8% (of the sale price), how much did Matthew spend on the desk?

Carmen uses 2/7 of a bag of flour to make 1/2 of a batch of her special homemade cookies. How many bags of flour does it take to make 3 batches of the cookies? Simplify your answer completely.

When 2 grams of Helium are added to a weather balloon, its volume is 8.0 L. If the pressure and temperature do not change, and 1 more gram is added, what is the final volume of the balloon?

A gas that exerts a pressure of 537 torr in a container with a volume of 5.30 L will exert a pressure of 255 torr when transferred to a container with a volume of L.

When the volume of a gas is changed from 800.0 cm³ to 400.0 cm3, the temperature will change from 115°C to °C.

The revolving restaurant on top of a hotel in San Francisco, California takes 45 minutes to complete a full counterclockwise rotation. A table that is 30 ft from the center of the restaurant starts at position (30, 0). What are the coordinates of the table after 9 minutes? Round to the nearest tenth. (9.3, 28.5) (11.3, 17.3) (28.5.9.3) (23, 19.3)

A line has a slope of and passes through the point (-1, -10). What is its equation in point-slope form? Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.

Use Cramer's rule to find the solution to the following system of linear equations. 5x-4y=-8 3x+y=3

Mia works at a bakery. Mia prepared 10 kg of dough after working 2 hours. How many kilograms (x) of dough did Mia prepare if she worked for 9 hours? Assume the relationship is directly proportional. A) 45 kg B) 50 kg C) 55 kg D) 60 kg

Which of the following is a feature of the pattern? Select all that apply. A. All of the house numbers are even. B. All of the house numbers are odd. C. The house numbers alternate odd and even. D. The house numbers are multiples of 3. E. The house numbers increase by 3.

Find the scale factor that was used to change the Original (O) to the Scaled Image (S). S 7.8" O 2.6" A. 3 B. 0.33 C. 2.8 D. 5.2

In a 30-60-90 triangle how do we go from the longer leg to the shorter leg? * divide by the square root of 2 multiply by the square root of 2 multiplyby the square root of 3 divide by the square root of 3

At the beginning of April, a colony of ants has a population of 5,000 ants. a. The colony decreases by 1/5 during April. Write an expression for the ant population at the end of April. b. The colony continues to decrease by % of its size each month. Write an expression for the ant population after 6 months.

An organization will give a prize to a local artist. The artist will be randomly chosen from among 6 painters, 2 sculptors, and 9 photographers. What is the probability that the artist chosen will be a painter or a sculptor? Write your answer as a fraction in simplest form.

A couple needs to get a loan of $5,000 and has to choose between three options. Option A: 21% compounded quarterly Option B: 3% compounded every 4 months Option C: 4-1% compounded semi-annually If they make no payments for 5 years, which option will give them the least amount owed after 5 years? Use a mathematical model for each option to explain your choice.

Julian owns a small business selling ice-cream. He knows that in the last week 52 customers paid cash, 22 customers used a debit card, and 5 customers used a credit card. Based on these results, express the probability that the next customer will pay with a credit card as a fraction in simplest form.

Tara has 19 feet of yarn. She is making friendship bracelets that each need 1/2 of a foot of yarn. How many bracelets can Tara make? A.9 1/2 B.10 C.18 1/2 D. 38

A ticket to the state fair cost $15. The equation y = 15x relates the total cost of tickets (y) to the number of tickets purchased (x). Identify the unit rate in the equation. x y 15 15x

Davis can read 4/5 of a page in one minute. How many pages can he read in 4 1/2 minutes? Simplify your answer completely.

Let u = -5i +2j and v=-5i-5j. Decompose u into two vectors u1, and u₂, where u1, is parallel to v and u2, is orthogonal to v. Write your answers in the form ai+bj.

Cory can eat 21 boiled eggs in 6 minutes. He wants to know how many minutes (m) it would take him to eat 35 boiled eggs if he can keep the same pace. How many minutes would Corey need to eat 35 boiled eggs? 8 minutes 9 minutes 10 minutes 12 minutes

Two fishermen go ice fishing one morning. By noon, Fisherman Bob has 6 fish and is catching 2 fish per hour. Fisherman Bill has 4 fish and is catching 3 fish per hour. Assume they will continue catching fish at the same rate. 1. Write a system of equations that relates the time to the total fish caught. 2. Algebraically solve the system of equations. At what time will they have the same number of fish?

When the pressure that a gas exerts on a sealed container changes from 53.0 bar to 35.2 bar, the temperature changes from .... °C to 12.0°C.

Identify the type of observational study described. A researcher plans to obtain survival rate data for patients whose cancer has gone into remission by following them for the next five years. prospective retrospective cross-sectional

Suppose a new car that costs $25,000 depreciates by 12% each year. In about how many years will the car be worth $15,000? Use the equation 15,000 = (25,000)(0.88)^x and round the value of x to the nearest year. 7 4 5 6

Select the correct labeling of a, b, and c to the standard form of the quadratic equation. a = 4, b = -2, and c = 7 4x² + 5x - 2 = 0 x² + 2x-5 = 0 x²-5=0 4x² - 2x +7=0 x² + 2x = 0

Sarah purchased a manufacturing machine worth $30,000 for her factory. The value of the machine decreases every year by $1,250. Which explicit equation represents the value, v, of the machine t years after the purchase? v = 30,000t - 1,250 v = 30,000 -1,250t v = 30,000 -1,250-t v = 30,000 -1,250+t

The first term in a sequence is -18, and each term after the first is 4 times the preceding term, Which of the following recursive functions defines the sequence described above? A. f(1) = -18 f(n)=4f(n-1),n> 1 B.f(1) = -18 f(n)=4+ f(n-1),n> 1 C.f(1) = -18 f(n)=4f(n+1),n> 1 D.f(1) = -18 f(n)=4+ f(n+1),n> 1

Solve, using a proportion. If Joe travels 434 miles in 7 hours, how far will he travel in 10 hours at the same speed? ..... miles

Solve, using a proportion. If 4 quarts fill 16 cups, then 6 quarts will fill .... cups.

Mike pays $20 per hour for algebra tutoring. The equation y=20x relates the cost of tutoring (y) to the number of hours (x) he is tutored. Identify the unit rate in the equation. x y 20 20x

When the volume of a gas is changed from 11.5 cm³ to ...... cm3, the temperature will change from 415.0 K to 200.0 K.

Colton has a bag that contains orange chews, lemon chews, and peach chews. He performs an experiment. Colton randomly removes a chew from the bag, records the result, and returns the chew to the bag. Colton performs the experiment 49 times. The results are shown below: A orange chew was selected 18 times. A lemon chew was selected 6 times. A peach chew was selected 25 times. Based on these results, express the probability that the next chew Colton removes from the bag will be orange or lemon as a decimal to the nearest hundredth.

Draw the polygon whose vertices are (3, 1), (3, 7), (-2, 3), and (-2, -3). Then choose the best description of the polygon from the choices below. Triangle Rectangle Parallelogram None of these

A gas that exerts a pressure of 14 bar in a container with a volume of 312 mL will exert a pressure of ........ when transferred to a container with a volume of 652 mL. bar

Tammy deposited $3000 into an account with a 5.6% annual interest rate, compounded semiannually. Assuming that no withdrawals are made, how long will it take for the Investment to grow to $45397 Do not round any intermediate computations, and round your answer to the nearest hundredth.

1. What type of action do progressive verbs show? A. Continuous B. Future C. Present perfect D. Singular

For the given function, state the amplitude and the minimum output for the function: f(t)= 3cos (t+π/6) The amplitude is 3 and the minimum output value is y=-3. The amplitude is 3 and the minimum output value is y=-π/6 The amplitude is π/6 and the minimum output value is y=-3 The amplitude is π/6 and the minimum output value is y=-π/6

Identify the problem with the following study. It was found that a third of all people in the United States live in urban centers. This finding is based on a study involving 3 randomly selected individuals. missing data loaded question reported results small sample

Kyndal wants to buy a lamp that originally cost $82, but went on sale for 20% off. The store is having an additional sale that is 40% off the sale price. What is the price of the lamp?

Sydney described a ruler as a length of plastic that starts at 0 and continues on to 12 inches. The geometric term that best describes Sydney's description is a

Ruby has a bag that contains orange chews, cherry chews, and lime chews. She performs an experiment. Ruby randomly removes a chew from the bag, records the result, and returns the chew to the bag. Ruby performs the experiment 42 times. The results are shown below: A orange chew was selected 4 times. A cherry chew was selected 13 times. A lime chew was selected 25 times. Based on these results, express the probability that the next chew Ruby removes from the bag will be orange or lime as a fraction in simplest form.