Suppose you have entered a 78​-mile biathlon that consists of a run and a bicycle race. During your​ run, your average velocity is 8 miles per​ hour, and during your bicycle​ race, your average velocity is 27 miles per hour. You finish the race in 5 hours.   What is the distance of the​ run? What is the distance of the bicycle​ race?   ____ miles

Q: A job pays a salary of $18,000 the first year. During the next 14 years, the salary increases by 8%…

A: Given first year amount as P = $18000 Time is t = 15 years Rate is r, 8% = 0.08 We use C.I. formula

Q: 11. The value of a car, in dollars, is depreciating according to the formula V = 35,000(3.21)-04x…

A:

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A: to solve this question, we use the concept of projectile.

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A: We have to form an inequality for the acceptable length of nails n.

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A:

Q: show work

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A: From the provided information, The regression equation is as follow: ŷ = 1350 − 1.5x Here x is the…

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A: Population of bacteria

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A: The exponential decay equation is given by:- 'A=P(1-r)t, P=Initia; value, r=rate of decay, t = time

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A:

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Q: Solve for t. (Enter your answers as a comma-separated list.)   700(1.09)t = 1,700

A: Here we solve exponential form for t.

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A:

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A: When a cold drink is taken from a refrigerator, its temperature is 5 ° C. After 25 minutes in a 20 °…

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A:

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A: Given formula , V = 48 T 2  Here V = vertical leap and           T = hang time

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A:

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A: Equation of Motion.

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A:

Q: X=N(210 minutes, 45 minutes)What is Pr(X=243?)? What is pr(x=150)

A: Given a normal distribution with mean 210 and Standard deviation 45.Z score is the distance of a…

Q: Solve for X. Show your work 15 8

A:

Q: 13. A man completed an expedition of 400km at a uniform speed. If the speed had been increased by…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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A: Leakage of 2 ½ gallons in 3 minutes Leakage of 7 ½ gallons in x minutes.

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A: topic - quadratic equations Let Bob's running speed= x Joe's running speed =x+0.5 total distance…

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A:

Q: Jan deposited an amount of money in the bank. If interest rate of the bank decreases from 4 3/43% to…

A: The rate of interests can be simplified as follows: 4343%=17543%,412%=92%

Q: Jane is ?=2 mi offshore in a boat and wishes to reach a coastal village ?=7 mi down a straight…

A: Consider the given information:

Q: A 7 in Зх + 1 44° 44° 14 in

A:

Q: (b) A person standing on the ground throws a ball onto a flat rooftop. The ball rolls around for…

A: In the given question a graph  is drawn between height of the ball and time taken . On x-axis time…

Q: -5.857 +3.721 using your graphing calculator. Round your final answer Solve -7.526x + 5.622 = to…

A: The given expression -7.526x+5.622=-5.857x+3.721.

Q: A state patrol officer saw a car start from rest at a highway on-ramp. She radioed ahead to another…

A: known fact:

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A: Given the time interval 10:17 am to 10: 53 am So the time interval is from [17,53] Average velocity…

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A:

Q: person has weekly salary of x dollars, and gets a raise of 16% which is worth $ 41 . Calculate x ,…

A: Acc to given condition, 16% of x = 41

Q: 124) A catapult is designed to launch circus performers from a raised platform. After launch, the…

A: Given: h(t)=−16t2+80t+32 When the circus performer will be at the ground level then the height will…

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A: If the ball be 34 ft above the ground then h=34We plug h=34 and solve for t.

Q: According to th an average of 1. Saturdays, whic of time the stuc the Internet on A) Between 3. B)…

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Q: The International Space Station orbits Earth at an altitude of about 240 miles. In the dlagram, the…

A: This question is application of Pythagoras Theorem

Q: 8. The distance a jet travels varies directly with the number of hours flown. A jet travels 1,350…

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Q: 5. A fountain has two drainage valves. With the first valve open, the fountain drains completely in…

A: Use the following rational expression to solve the problem.

Q: A man flies a small airplane from Fargo to Bismarck, North Dakota-a distance of 180 mi. Because he…

A: x=speed of an airplane in still air a=wind speed  here distance is d=180 miles for headwind, time…

Q: A ball is thrown into the air with an initial velocity of 32 feet per second from a height of 128…

A:

Q: A ball is thrown into the air with an initial velocity of 16 feet per second from a height of 0…

A: Ball is thrown at 16 ft/sec Height from which it is thrown=0 ftForce of gravity downward=32 ft/sec2

Q: anu as III pur 11. In a race of 60-m total distance, Rabbit ran 5 m/s over, stopped to eat a carrot…

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Q: 231 arginal cost of a product is given by 154 + dollars per unit, where x Is the number of units…

A: Given query is to find the increased in cost.