Mathematics

A 5 m long car is overtaking a 19 m long bus. The bus is travelling at a constant speed of 25 m/s. The car takes 3 s to overtake the bus. We assume that overtaking starts when the frontmost part of the car crosses the backmost part of the bus and ends when the backmost part of the car crosses the frontmost part of the bus. So at what constant speed (in m/s) is the car driving?
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5. The formula below relates the velocity,v, of a moving object (in meters persecond), to the kinetic energy, E, of theobject (in joules), and the object's mass,m (in kilograms).V=2.EmWhat is the velocity, in metersper second, of a bowling ball thathas a mass of 5.5 kilograms and isproducing 2223 joules of kineticenergy?
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Kevin works 3z hours each day from Monday to Friday. He works (4z-7) on Saturday. Kevin does not work on Sunday. Find the number of hours Kevin works in one week in terms of z
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After an antibiotic is taken, the concentration of the antibiotic in the bloodstream is modeled by the function C(t) = 4te^{-39t}, where t is measured in ug/mg hours and C is measured in Use the closed interval methods to detremine the maximum concentration of the antibiotic between hours 1 and 7. Write a setence stating your result, round answer to two decimal places, and include units.
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Help with math problems
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pls help with this geometry asap
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A man borrows birra 800 for 2 years at a simple interest rate of 20 percent. What's the total amount that nyatta be repaid
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The pattern of a soccer ball contains regular hexagons and regular pentagons. The figure below shows what a section of the pattern would look like on a flat surface. What is the measure of each gap between the hexagons in degrees?
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Given ABC, what is the measure of angle B question mark Triangle ABC with measure of angle A equal to 33 degrees and side c measuring 13 and side b measuring 10 7.138 49.734 50.946 97.266
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Which ordered pair is a solution to the following system of inequalities?y < x2 + xy > x2 4 (0, 1) (1, 1) (2, 3) (3, 6)
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A spherical balloon has a 20-in. diameter when it is fully inflated. Half of the air is let out of the balloon. What is the volume of the fully-inflated balloon?
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I went to two different banks to find the best savings program. td bank offered my 6% interest for 7 years and wells fargo offered me 5% interest for 9 years. if i deposit $10,000, which bank has the better program to make me the most money? how much more money will i make at one bank than the other? round to the nearest dollar.
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consider the rabin cryptosystem with key n = 1 359 692 821 = 32359 42019. (a) encode the plaintext m = 414 892 055. (b) find the four decodings of the ciphertext c = 823 845 737.
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Molly's cafe has regular coffee and decaffeinated coffee. this morning, the cafe served 30 coffees in all, 40% of which were regular. how many regular coffees did the cafe serve?
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This stop sign is a regular octagon. The length of one side is 8 inches and the length of the apothem is 9.65 inches. Find the area of the stop sign.
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PLEASE HELP ME THIS IS AN COMPOSITE FIGURES
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(40 POINTS) Data based on past observations can sometimes predict future performance.a. Give an example where past performance does predict future performance. Explain your reasoning. b. Give an example where past performance does not predict future performance. Explain your reasoning.
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Kevin can clean a large aquarium tank in about 7 hours. When Kevin and Lara work together, they canclean the tank in 3 hours. Enter and solve a rational equation to determine how long, to the nearest tenthof an hour, it would take Lara to clean the tank if she works by herself? Complete the explanation as towhether the answer is reasonable. It would take Lara about 7hours to clean the tank by herself. The answer is reasonable because itis (select) and, when substituted back into the equation, the equation is true.
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A velociraptor runs 5m [E] , 10 m [W], 3m [S], & 2m [W] in 10 seconds. Calculate speed & velocity
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A baker uses 2 lbs of butter to make 7dozen cookies. How many pounds ofbutter would be used to make 132cookies?
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question subtract. write your answer as a fraction in simplest form. 19(29)=
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4. The cost of purchasing songs from a particular online service can be found by using the following equation: c= 1. 390 + 3. 50 Where c represents the total cost and d represents the number of songs downloaded. If Josh spent a total of $20. 18, how many songs did he download? A 12 B 6 C 11 D 7
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Intelligence Quotient (IQ) scores are often reported to be normally distributed with =100. 0 and =15. 0. A random sample of 45 people is taken. Step 1 of 2 : What is the probability of a random person on the street having an IQ score of less than 96? Round your answer to 4 decimal places, if necessary
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Liz opened a savings account and deposited $1,000.00 as principal. The account earns 8% interest, compounded quarterly. What is the balance after 4 years?
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