Solve the equation x′=3(100−x) with the initial condition x(0)=80. For what value of t is x(t)=40? (university level math)

Solve the equation x′=3(100−x) with the initial condition x(0)=80. For what value of t is x(t)=40? (university level math)

given cos(theta)=3/5 in quadrant IV, find sin(theta)

Assume that there's no damping, an object stretches a spring 4 inches in equilibrium. Find its displacement for t>0 if it's initially displaced 36 inches above equilibrium and given a downward...

try to find out her total body weight from before

I'd appreciate it if you could show step by step i'm not very good at this and would like to know how to do it.

Two angles are complementary. Twice one angle plus the other is 148°. Find the measure of each angle.

The terminal velocity of a person falling through air is about 400Km/hr. The acceleration due to gravity is 10ms−2. Use this information to find out what C is in the equation v′=C(g/C−v), where g...

Explain In CDC format

Ellen wishes to mix candy worth $1.01 per pound with candy worth $2.62 per pound to form 30 pounds of a mixture worth $1.98 per pound. How many pounds of the more expensive candy should she use? Round...

When a ball is thrown through the air, or a person skydives from a plane, quadratic functions (and parabolas) describe their motions. Gravity causes items to fall at an acceleration rate of 32 feet...

I have to express each equation in slope-intercept form. Without graphing the equation, state whether the system of equations has exactly one solution, no solution, or an infinitive number of solutions...

A weight stretches a spring 1.5 inches in equilibrium. The weight is initially displaced 8 inches above equilibrium and given a downward velocity of 4 ft/s. Find its displacement for t>0. y"+(k/m)y=0 I...

15% of $200.00 what is my total cost

A tree trunk is approximated by a circular cylinder of height 50 meters and diameter 3 meters. The tree is growing taller at a rate of 4 meters per year and the diameter is increasing at a rate of...

An object stretches a spring 5 cm in equilibrium. It is initially displaced 10 cm above equilibrium and given an upward velocity of 0.25 m/s. Find its displacement for t>0. Find the frequency,...

Using standard form Ax+By=C

This question did not mention the need of the answer. Can it be found in finding x and y.

A mass of gas at pressure P and temperature T (degrees Kelvin) and volume V satisfies the equation T = KPV where K is a constant. The initial temperature is 250 degrees Kelvin, the inital volume is...

A spring with natural length 0.5 m has length 50.5 cm with a mass of 2 gm suspended from it. The mass is initially displaced 1.5 cm below equilibrium and released with zero velocity. Find its displacement...

Given a grid with 15 sections, determine how many sections in the grid need to be shaded so the probability of a point chosen at random in the shaded area is exactly 0.8. Explain your reasoning...

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