𝑥2+𝑦2−12𝑥+12𝑦+68=0 x 2 + y 2 − 12 x + 12 y + 68 = 0 is the equation of a circle with center (ℎ,𝑘) ( h , k ) and radius 𝑟 r for: h= and k= and r =
A cube is placed in a pool of water. If the cube is 12 cm long on each side, what is the weight of the cube? (Use 1000 kg/m3 for the density of water)
please answer this :
A charged capacitor is being discharged through a resistor. At the end of one time constantthe charge has been reduced by (1 – 1/e) = 63% of its initial value. At the end of two timeconstants the... more
Solve the quadratic inequality x2-4x-21 ≤ 0 then write the solution in interval notation.
I need help with a trig problem
evaluate the limit
evaluate lim x→-∞ x^2+2x/x-3x^2
The population of a certain city was 120,000 in 2014, and the observed doubling time for the population is 19 years. a) Find an exponential model n(t) = n02^t/a for the population t years after... more
Calculate the width of the central maximum for the 0.04 mm slit assuming all other dimensions remain the same.
Assume that you had used an argon laser (wavelength = 488 nm) instead of the HeNe laser. Calculate the width of the central maximum for the 0.04 mm slit assuming all other dimensions remain the same.
Change 2cis30° to exact rectangular form.
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Use appropriate sum or difference identities to find the exact value. cos 15°
A spring has a spring constant of 200N/m. what force is required to compress it 0.1m?
How much force is the seat exerting on the person?
A 59.8kg person is riding on a Ferris wheel that has a radius of 16.3m. When passing through the bottom of the Ferris wheel the person is moving at 8.2 m/s. How much force is the seat exerting on... more
How much force do the students need to exert (combined) if they want to give the car a forward acceleration of 0.5 m/s2
Two students are pushing a stalled car down the street. The car has a mass of 1500 kg and experiences a friction force between the tires and the road of 350 N. How much force do the students need... more
Newton’s third law and conservation of momentum
When a bird flies, it’s wings push air downward. As a result the air pushed back upward on the bird, which law of motion most applies to the way the wings of a bird beat?
The initial and terminal points of a vector are given. Write the vector as a linear combination of the standard unit vectors i and j. Initial Point: (-1, 5) Terminal Point: (9, −8)
Find the differential dy of the given function. (Use "dx" for dx.)
y=x+1/4x-9I got -13/(4x-9)^2 but it got marked wrong. Help?
A 120 kg mass is blown apart into a 80 kg piece and a 40 kg piece. After the blast, the two masses are moving apart with a relative velocity of 60 m/s. The velocity of the 80 kg mass is?Hint:... more
Find the absolute maximum and absolute minimum values of f on the given interval.f(x) = 6x3 − 18x2 − 54x + 9, [−2, 4]
A 50 kg person standing still in ice skates throws their 2.0 kg helmet to the right at 25 m/s while on a frictionless surface. What is the final speed ?
Physical Science Questions
A thick wire will have ____ resistance than a thin wire of the same material.(A) open(B) marginal(C) greater(D) less (E) none of the above 2. The thin wire in the previous question will... more
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specifed line.
Find the volume of the solid obtained by rotating the regionbounded by the given curves about the specifed line. Sketch theregion, the solid, and a typical disk or washer. x=2sqrt(y), x= 0, y= 9;... more
Constant velocity and acceleration
A family road trip starts out in a van traveling 50km at a velocity of 75km/hr followed by a spot of a slow traffic where they travel 10km at a velocity of 25km/hr. What is the average velocity... more
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