In the equation S = 8A/P, S varies __________as A and ___________ as P.

Q: Use a variation model to solve for the unknown value. The body mass index (BMI) of an individual…

A: If a varies directly  as b, then it can be written that a∝b. If a varies inversely as b, then it can…

Q: Ixcm 75 cm 145 cm 55 cm 120 cm A rod of length 145 cm is placed inside the water tank. One end of…

A: In this question we face to find the value of x which we can find out using pythogoras theorem

Q: Wind resistance is jointly proportional to velocity and surface area of the object. If an object is…

A: First of all, observe the relationship between the wind resistance to velocity and wind resistance…

Q: An object's velocity after t seconds is v(t) = 36 – 2t feet per second. (a) How many seconds does it…

A:

Q: The period of a pendulum is given by the equation shown below, where L is the length of the pendulum…

A: Let's find.

Q: Heat of a Campfire The heat experienced by a hiker at acampfire is proportional to the amount of…

A: Let 'x' be the amount of wood and 'd' is distance.

Q: Answer with Solution. (box the final answer) 1. The amount of paint p Formulas: p k = A/p = kA…

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

Q: Please show step-by-step solution

A:

Q: An object's velocity after t seconds is u(t) = 26 – 2t feet per second. {a) How many seconds does it…

A:

Q: An object's velocity after t seconds is v(t) = 38 – 2t feet per second. (a) How many seconds does it…

A:

Q: A car traveling at 20 feet per second decelerates at 8 feet per second per second. How long does it…

A:

Q: c) Use you equation to determine the population after 150 min. d) Approximately how many hours would…

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Q: 2. A passenger train left the station going 54mph. An hour earlier a freight train left the station…

A: To find the number of hours takes for the passenger train to catch the freight train

Q: E The power consumed in an electrical resistor is given by P = watts. If E =150 volts and R R=9…

A: Given  P=E2/R

Q: A power P, in watts, that a circular solar cell produces and the radius of the cell r in centimeters…

A: A power in watts, that a circular solar cell produces and the radius of the cell r in centimeters…

Q: Breakwaters affect wave height by reducing energy. (See the figure below.) If a tsunami wave of…

A: As per our guidelines, we can answer only first question in a single request. Kindly re-post the…

Q: An object's velocity after t seconds is v(t) = 40 – 2t feet per second. (a) How many seconds does it…

A: To find the distance traveled by the object over a certain amount of time, we need an equation for…

Q: The body mass index​ (BMI) is used to assess the relative amount of fat in a​ person's body. If w is…

A:

Q: wing problem. Show details and illustrations. 1.The sides of an equilateral triangle are increasing…

A: Consider the given side of an equilateral triangle are increasing at the rate of 3cmmin (a) Let side…

Q: Please

A: Use Pythagoras Theorem and calculate the top to bottom (vertical) distance. we get the equation like…

Q: Two pounds of grapes cost $6. Complete the table showing the price of different amounts c this rate.

A: Given,           Two pounds of grapes cost $6.

Q: Flying against the jet stream, a jet travels 1880 mi in 4 hours. Flying with the jet stream, the…

A: Let the rate of still air be x miles/hr and the rate of the jet stream be y miles/hr.

Q: nating electrical current in amperes (A) is modeled by the equation , where i is the current, I is…

A: In this question, concept of trigonometric function is applied. Trigonometric Function The…

Q: Please show step-by-step solution

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Q: The equation I= Prt gives the amount of interest a bank account receives after a certain period. An…

A: Principal amount (P)=$6000 Rate of interest® =7% =7/100 Interest (I) =$33.60 Let, time in years = t

Q: See attached

A: When it hits the ground then s(x)=0We solve s(x)=0 for x. Answer: 4 seconds

Q: Consider the equation P=100(0.87)" that models the percent of caffeine in your body n hours after…

A: This problem can be solved using the concept of exponents and natural logarithm

Q: 30. Speed of a rocket At t sec after liftoff, the height of a rocket is 312 ft. How fast is the…

A:

Q: An object's velocity after t seconds is v(t) = 32 – 2t feet per second. - (a) How many seconds does…

A:

Q: A rectangle initially has dimensions 6cm by 8 cm. All sides begin increasing in length at a rate of…

A: The initial dimensions of rectangle are 6cm by 8cm, where length is 6cm and width is 8cm.

Q: The cost per hour of running a motor boat is proportional to the cube of the speed. At what speed…

A: To find the speed of boat .

Q: The equation P= 20sin (2Pi t) + 100 models the blood pressure, P, where t represents time in…

A: The blood pressure is represented by the equation P=20 sin2πt+100  ..................(1)

Q: Wind resistance is jointly proportional to velocity and surface area of the object. If an object is…

A: Given,Wind resistance is jointly proportional to velocity and surface area of the objectLet w, v,…

Q: A bicyclist traveling at 14 ft/sec velocity (ft/sec) puts on the brakes to slow down at a constant…

A:

Q: 8A In the equation S : S varies P as A and as P.

A:

Q: (b) How long will it take the projectile to strike the ground?

A: Projectile motion: Projectile motion is a form of motion where an object moves in a bilaterally…

Q: 17. The power required to operate a fan varies as the cube of the speed. If ½ horsepower will drive…

A:

Q: An object's velocity after t seconds is v(t) = 26 – 2t feet per second. (a) How many seconds does it…

A: The velocity function is given as v(t)=26-2t feet per second.

Q: A model for the spread of a rumor is given by the equation p(t)= 1/1+ae^(-kt), where p(t) is the…

A: Given problem:- A model for the spread of a rumor is given by the equation p(t)= 1/(1+ae-kt)…

Q: The period of a pendulum is given by the equation shown below, where L is the length of the pendulum…

A:

Q: 22. The distance D that a spring is stretched by a hanging object varies directly as the weight W of…

A: Answer :- The distance D that a spring is stretched by a hanging object varies directly as the…

Q: E. The intensity I of light varies inversely as the square of the distance d from the light source.…

A: Given query is to find the change in intensi with distance.

Q: Sky Diving The velocity of a sky diver t seconds after jumping is given by v(t) = 80(1 – e-0). After…

A: v(t)=801-e-0.2t

Q: A bicyclist traveling at 12 ft/sec puts on the brakes to slow down at a constant rate, coming to a…

A: Velocity just before the bicyclist puts on the brake is v = 12 ft/sec The cycle comes to stop after…

Q: QUESTION 13 Ray Bond sells handcrafted yard-decorations at county tairs. The variable cost to make…

A:

Q: gie When the altitude is 10 cm and the area is 100 cm², the base of the triangle measures |cm and is…

A:

Q: Sky Diving The velocity of a sky diver t seconds after jumping is given by v(t) = 80(1 - e-0.2).…

A: Given velocity equation is: vt=801-e-0.2t We have to find the time when the velocity becomes 70…

Q: . Gravity The gravitational force F exerted by the earth on an object having a mass of 100 kg is…

A: Given: Given that, Gravitational force, F exerted by the earth on an object having mass of 100 kg is…

Q: (a) If the student can swim at a speed o (b) How much time is required in still wa (c) Intuitively,…

A: Steady speed of river = 0.600 m/s Upstream distance =1.00 km =1000 m Speed of student= 1.25 m/s,…

Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.