08/25/23

An arrow is shot vertically upward from a platform 8ft high at a rate of 157ft/sec. When will the arrow hit the ground? Use the formula: h=−16t2+v0t+h0 . (Round your answer to the nearest tenth.)
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08/24/23

Distance/midpoints

If point k is 1/n of the way from J (4,-5) to L(0.-7) n=4what is a formula for the coordinates of k for any m?
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08/19/23

Parabola of a Function
Find b and c so that y=−13x2+bx+c has vertex (2,6). 
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08/19/23

Please help me!
Find the point on the line 2x+5y-5=0 which is closest to the point (-4,-1).
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08/18/23

bacteria popluation growth
Example. A bacteria population experiences exponential growth with a constant growth rate of r. After 4 hours, the population increases by 30%. When will the population double?Solution: We will... more
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08/11/23

If x is the number of copies made and y is the amount charged for the​ copies, what is the formula for the amount​ charged?
Cost for copies is a linear function of the number of copies. If 75 copies cost $17.25​, and 100 copies cost $22.00​, write a formula for copy cost as a linear function of the number of copies.... more
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08/11/23

please help with this
At noon, ship A is 20 nautical miles due west of ship B. Ship A is sailing west at 18 knots and ship B is sailing north at 24 knots. How fast (in knots) is the distance between the ships changing... more
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08/10/23

At what point(s) on the curve x = 6t2 + 2, y = t3 − 8 does the tangent line have slope 1 2 ? (x, y) =

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08/08/23

Find the arclength of the curve with x=3t-1, y=4t+9 with 2<t<6
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08/03/23

Calculate length

Calculate the length of the following parameterized curve over the given interval. r(theta) = <sin(theta) - theta cos(theta), cos(theta) + theta sin(theta)> , 0 <= theta <= 5
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08/02/23

Suppose the position equation for a moving object is given by

Suppose the position equation for a moving object is given by s(t)=6t2-5t+4 where S is measured in meters and T is measured in seconds. a) find the average velocity on the interval [1, 4] b) Find... more
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08/01/23

Can you help me solve this calculus question
Estimate the area under the graph of f(x) = 1/(x+3) over the interval over the interval [-2, 1] using eight approximating rectangles and right endpoints. Rn= Ln=
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08/01/23

How do I solve with binomial theorem here?
Use the binomial theorem to find the term containing x^-19 in the expansion (-3x+1/x^6)^9
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07/29/23

pilot vectors problem
A pilot flies at 300 km/h with a heading of 110°. A 30 km/h wind comes from 250°. Find the bearing and speed of the plane’s resultant travel.
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07/28/23

Find an equation for the population
 A population of mice is at its lowest in January (t=0) and oscillates 17 above and below an average of 93 during the year.Find an equation for the population, P, in terms of the months since... more
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07/28/23

algebra fraction
At the Club, everybody likes windsurfing and parasailing or both. 3/5 of those who like windsurfing also like parasailing. 1/4 of those who like parasailing also like windsurfing. Find, in... more
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07/27/23

wire problem for calculus
An artist has 9 m of wire. They will cut it into two pieces. One will be bent into a square while the other will be bent into a circle. Where on the wire should they cut to get the smallest total... more
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07/27/23

Math Calculus word problem
An open-topped storage box with a square base has a capacity of 5 m3. The material for the sides costs $1.60/m2 while the material for the bottom costs $2.00/m2. Find the dimensions that will... more
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07/24/23

An airplane is flying at 400 km/h on a heading of 050°. The wind is blowing at 30 km/h at a bearing of 153°. Determine the ground velocity of the airplane and the direction of flight.
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07/24/23

Uranus is approx 2.74 x 10^9 km away from Sun at perihelion and 3.00 x 10^9 km at aphelion. Find eccentricity of Uranus's orbit given that the perihelion is r = a(1 - e) and aphelion is r = a(1 + e).
a. e ≈ 0.0853 kmb. e ≈ 0.0453 kmc. e ≈ - 0.0453 kmd. e ≈ -0.0853 km
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07/22/23

Algebra. Question

20+t=36t/18Find t
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07/22/23

The doubling period of a bacterial population is 20 minutes.
At time t=120 minutes, the bacterial population was 60000. What was the initial population at time t=0 ? Find the size of the bacterial population after 4 hours
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07/22/23

Precalc question
You go to the doctor and he gives you 17 milligrams of radioactive dye. After 16 minutes, 7.5 milligrams of dye remain in your system. To leave the doctor's office, you must pass through a... more
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07/22/23

definite integral b= 2 a = 0 x(x-3)dx
evaluate the integral
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07/20/23

secxcscx(tan x + cot x) = 2 + tan^2 x + cot^2 x
solve secxcscx(tanx + cot x) on the left hand side which equals 2 + tan^2 x + cot^2 x
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