Suppose NASA launches a rocket and that its height, in meters above sea-level, tt seconds after launch is given by h=−4.9 t2+229 t+283h=-4.9 t2+229 t+283 Assuming the rocket will splash down into the ocean, how long after launch does that occur? The rocket splashes down after  seconds. How high above sea-level does the rocket get at its peak? The rocket peaks at  meters above sea-level. Round your answers to the nearest whole number. Hint: Splashdown occurs at an x-intercept. The maximum height occurs at the vertex.

Q: A culture of bacteria has an initial population of 920 bacteria and doubles every 7 hours. Using the…

A: We will use the given formula that determines the population after t hours to find the population…

Q: Solve for x in e5x 6. A. xVe In 6 B. x =- C. xVe In 5 D. X = 6.

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Q: Solve for r. 2x - 10 R x+8 -1 О-11 O 9 O 1

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Q: A culture of bacteria has an initial population of 790 bacteria and doubles every 4 hours. Using the…

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Q: (2.x – 7) In(x + 2) > 0 -

A: We have to find the value of x for this inequality.

Q: The number of people attending an outdoor concert, pre COVID, can be modeled by c(p) = 0.07V 400 · ,…

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Q: Show that the equation e +-23D0 has no real root which is less than 1.

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Q: A cyclist, after riding a certain distance, stopped for half an hour to repair his bicycle, after…

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Q: 14. Louis is running at a constant speed and 1 traveled 3 miles in 9 minutes. How long would it take…

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Q: (3) If a projectile is launched into the air at 29.4 feet per second from a height of 60 feet, its…

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Q: If a ball is thrown upward at 128 feet per second from the top of a building that is 120 feet high,…

A: Consider the given height equation of the ball S=-16t2+128t+120.

Q: An object is thrown upward at a speed of 170 feet per second by a machine from a height of 19 feet…

A: Please see the explanation below

Q: • A body having a temperature of 100°C was placed in a room where the temperature is 5°C. At the end…

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Q: The value V of a Chevy Cruze LS that is t years old can be modeled by V(t) = 18,700(0.84)t .(a)…

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Q: ach equation by graphing the corresponding function. 1.x2-8=2x 2.n2-4n=-4 3.2s2+12s+18=0…

A: 1) The graph is shown below:

Q: A marathoner ran the 26.2-mi New York City Marathon in 2.2 hours. Show that at least twice the…

A: Given:Total distance travelled is 26.2 miTotal time taken = 2.2 hours.

Q: Solve for r. n-6 Σχ-202 ΣΥ-409 Exy=13937 Ex^2=7280 Ey^2=28365

A: We have to find value of r.

Q: If a ball is thrown upward at 96 feet per second from the top of a building that is 120 feet high,…

A: Consider that a ball is thrown upward from the top of a 120 feet high building with an velocity of…

Q: The winning times (in seconds) in a speed-skating event for men can be represented by the 34)…

A: Given, the winning times (in seconds) in a speed-skating event for men is represented by the formula…

Q: An object is thrown upward at a speed of 170 feet per second by a machine from a height of 19 feet…

A: Given the equation which represent the the height h of the object after t seconds h=−16t2+170t+19

Q: An object is thrown upward at a speed of 99 feet per second by a machine from a height of 7 feet off…

A: The height of the object after t sec is given by the function Initial speed of an object  =99…

Q: |49 Car A and Car B are 60 miles apart. If they start driving towards each other with Car A going at…

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Q: 5. Solve for x 271° -4 + 14 x T. 9x + 6 75

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Q: 4) Solve for x. Verify that your solution is correct using substitution. – 12) + 3x = 24

A: The objective of the question is solve the given equation and verify .

Q: In a murder investigation, a corpse was found by a detective at exactly 8 P.M. Being alert, the…

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Q: A firework rocket is shot upward at a rate of 609 ft/sec. Use the formula h =-16t^ 2 +v 1 t to…

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Q: Use an algebraic method of successive approximation to solve 3x + 5x - 17 = 0, correct to 3…

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Q: You attach a meter stick to an oak tree, such that the top of the meter stick is 1.47 meters above…

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Q: An oil tanker can be emptied by the main pump in 4 hours. An auxiliary pump can empty the tanker in…

A: Given: An oil tanker can be emptied by the main pump in 4 hours. An auxiliary pump can empty the…

Q: Find the interval in which the root of equation e +x -8 = 0 lies.

A: given equation is ,                       ex+x-8=0 here,…

Q: A culture of bacteria has an initial population of 220 bacteria and doubles every 8. hours. Using…

A: Formula: Pt=P0 2td P0 initial population d is doubling time Given: Doubling time =8hours initial…

Q: (c) Two cars are driven off from the same point. One car starts out driving north at 35kmh-1 and 2…

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Q: During the first 45 seconds of a rocket flight, the rocket is propelled straight up so that in t…

A: Now we will find the solution of the given problem.  Given t= 45 second

Q: Oil tanker can be emptied by the main pump in four hours and auxiliary pump can empty the tank in…

A: Given Oil tanker can be emptied by the main pump in four hours and auxiliary pump can empty the tank…

Q: A culture of bacteria has an initial population of 860 bacteria and doubles every 9 hours. Using the…

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Q: Solve for the exact value of x. 4 In(7x - 4) – 2 = 26 Answer: Submit Answe

A: we have to find the exact value of x

Q: Solve for X and express the answer as a fraction in the lowest terms. Show work 4x+2 = 43x+1

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Q: 3. Solve for the root using false position method with initial guess of [0,6]=0.01% f(h) = h – 9h?…

A: Given:       fh=h3-9h2+3.8197=0  here h 0 1 2 3 4 5 6 f(h) 3.8197 -4.1803 -24.1803 -50.1803…

Q: 5. Solve for x. 10r+44 &r- 23

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Q: The height h, in feet, of a ball above the ground t seconds after being thrown upward with a…

A: The height h, in feet, of a ball above the ground t seconds after being thrown upward with a…

Q: Suppose that x liters of pure acid are added to 200 liters of a 35% acid solution.a. Write a formula…

A: x liters of pure acid are added to 200 liters of a 35% acid solution. a). Concentration C of the new…

Q: The height, H, in feet, of an object dropped from the top of a building after t seconds is given by…

A: The height of the object dropped from the top of the building is given by H(t)=-16t2+144.

Q: if kim can do a certain job in 5 hours, then at the end of  h hours she will have completed 5/h of…

A: Consider that the Kim can do a work in 5 hours. Then, the rate of doing job is 15 of the job. Thus,…

Q: 7. Solve for x. (Sr+13) (9x-31)

A: Here we solve this problem by using property of parallelogram.

Q: At 8:30 a.m., a coroner was called to the home of a person who had died during the night. In order…

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Q: Solve for r. n- 12 Σχ= 62 ΣΥ-168 Σχy-8799 ΣΧ2-3324 ΣΥ2-23707

A: The correlation coefficient (r) is defined as the degree to which two variables are said to be…

Q: A culture of bacteria has an initial population of 37000 bacteria and doubles every 2 hours. Using…

A: Given,P0 = Initial population = 37000 bacteriad= doubling time = 2 hourst = time in hours = 7…

Q: Three men can dig 2 identical trenches in 5 hours. Assuming that all the men work at the same rate,…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.