15,254 Answered Questions for the topic precalculus

Precalculus

01/02/24

What is the value of cot(113pi/12)?
What is the value of cot(113pi/12)?
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Precalculus

12/30/23

I need help solving this problem

Determine the equation of the line that passes through the points (2, 4) and (-3, 14). Write it in slope-intercept form.
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Precalculus Math Calculus Sat Math

12/20/23

Check orthogonality of these curves
How do you check orthogonality condition for these curves, I know only the answer that they are but I can't seem to move forward with the solution. I appreciate your help.
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Expert Answers •3
Precalculus Calculus

12/18/23

Related Rates / Conical Tank
A right conical tank with the point oriented down, a height of 18 feet, and a radius of 4 feet has sprung a leak. How fast is the volume of water in the tank changing when the water is 13 feet high... more
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Precalculus Calculus

12/14/23

The angle of elevation of the sun is decreasing at 1/4 rad/h. How fast is the shadow cast by a building of height 30 m lengthening, when the angle of elevation of the sun is π/4?
The angle of elevation of the sun is decreasing at 1/4 rad/h. How fast is the shadow cast by a building of height 30 m lengthening, when the angle of elevation of the sun is π/4? Leave your answer... more
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Precalculus Math Calculus

12/14/23

How fast is the tip of her shadow moving when she is 35 ft from the base of the pole?
A street light is at the top of a 14 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a straight path. How fast is the tip of her shadow moving when she is 35... more
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Precalculus Math Calculus

12/14/23

The radius of a sphere is increasing at a rate of 5 meters per hour. When the radius is 12 meters, then how fast is the VOLUME changing?
The radius of a sphere is increasing at a rate of 5 meters per hour. When the radius is 12 meters, then how fast is the VOLUME changing?Note: Volume of a sphere = (4/3) ⋅ π ⋅ (radius)3The rate of... more
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Precalculus Math Calculus

12/14/23

A circle is inside a square. The radius of a circle is increasing at a rate of 4 meters per day and the sides of the square are increasing at a rate of 3 meters per day.
A circle is inside a square.The radius of a circle is increasing at a rate of4 meters per day and the sides of the squareare increasing at a rate of 3 meters per day.When the radius is 3 meters,and... more
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Precalculus Math Calculus

12/14/23

Find the position function s(t) of a particle in motion if it is known that:
Find the position function s(t) of a particle in motion if it is known that: the particle's acceleration is constant with a(t)= -6 m/s2 the velocity of the particle at time t=2 is: -27 m/s the... more
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Precalculus Math Calculus

12/12/23

Let A be the area of a circle with radius r. If dr/dt=5, find dA/dt when r=3. Round your answer to the nearest tenth.
Let A be the area of a circle with radius r. If dr/dt=5, find dA/dt when r=3. Round your answer to the nearest tenth.
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Precalculus

12/08/23

nth distinct root
How do I show (1+i)^n = -9 algebraically and graphically.I figured out that polar form form 1+i. Not sure what to do with -9sqrt 2^p(cos (p⋅45°)+ i sin (p⋅45°).please show work
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Precalculus

12/08/23

Find all solutions on the interval [0,2pi). (Answer as a comma-separated list. Round answer to four decimal places)
cos(5x)cos(4x) + sin(5x)sin(4x) =1
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Precalculus

12/08/23

Understanding the algebra problem
A ball is thrown upward and outward from a height of 6 feet. The height of the ball, 𝑓(𝑥), in feet, can be modeled by 𝑓(𝑥) = −0.6𝑥^2 + 2.7𝑥 + 6 where 𝑥 is the ball’s horizontal distance, in feet,... more
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Precalculus

12/08/23

Pre-cal with Algebra
A ball is thrown upward and outward from a height of 6 feet. The height of the ball, 𝑓(𝑥), in feet, can be modeled by 𝑓(𝑥) = −0.6𝑥^2 + 2.7𝑥 + 6 where 𝑥 is the ball’s horizontal distance, in feet,... more
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Expert Answers •1
Precalculus

12/08/23

Pre-cal with Algebra
A ball is thrown upward and outward from a height of 6 feet. The height of the ball, 𝑓(𝑥), in feet, can be modeled by 𝑓(𝑥) = −0.6𝑥^2 + 2.7𝑥 + 6 where 𝑥 is the ball’s horizontal distance, in feet,... more
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Expert Answers •1
Precalculus

12/08/23

Pre-cal with Algebra
A ball is thrown upward and outward from a height of 6 feet. The height of the ball, 𝑓(𝑥), in feet, can be modeled by 𝑓(𝑥) = −0.6𝑥^2 + 2.7𝑥 + 6 where 𝑥 is the ball’s horizontal distance, in feet,... more
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Expert Answers •1
Precalculus

12/08/23

Understanding the algebra problem
A ball is thrown upward and outward from a height of 6 feet. The height of the ball, 𝑓(𝑥), in feet, can be modeled by 𝑓(𝑥) = −0.6𝑥^2 + 2.7𝑥 + 6 where 𝑥 is the ball’s horizontal distance, in feet,... more
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Expert Answers •1
Precalculus

12/08/23

Understanding the algebra problem
A ball is thrown upward and outward from a height of 6 feet. The height of the ball, 𝑓(𝑥), in feet, can be modeled by 𝑓(𝑥) = −0.6𝑥^2 + 2.7𝑥 + 6 where 𝑥 is the ball’s horizontal distance, in feet,... more
Follows • 1
Expert Answers •1
Precalculus

12/08/23

Understanding the algebra problem
A ball is thrown upward and outward from a height of 6 feet. The height of the ball, 𝑓(𝑥), in feet, can be modeled by 𝑓(𝑥) = −0.6𝑥^2 + 2.7𝑥 + 6 where 𝑥 is the ball’s horizontal distance, in feet,... more
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Expert Answers •1
Precalculus

12/07/23

please, I need help solving this
This exercise uses the exponential growth model.It is observed that a certain bacteria culture has a relative growth rate of 15% per hour, but in the presence of an antibiotic the relative growth... more
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Precalculus

12/07/23

need help solving this
Consider the following.200(1.02)6t = 1,100(a)Find the exact solution of the exponential equation in terms of logarithms.t = (b)Use a calculator to find an approximation to the solution, rounded to... more
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Precalculus

12/06/23

Precalculus 12 grade
Given the three functions below, which expression equals (b o v o k) (x) ? b(x)=IxI+7, k(x)=2^x, v(x)=9x
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Precalculus

12/06/23

pre calculus 12 grade
Given three functions below, which expression equals ( s o h o v) ( x)?h(x)= 2x^3, s(x)= square root of x-5, v(x)= I3xI
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12/06/23

Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and express P in the form P(x) = D(x) · Q(x) + R(x).
P(x)= 6x4+4x3+5x2, D(x) = 2x2+1
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Precalculus

12/06/23

I need help solving this
This exercise uses Newton's Law of Cooling.A roasted turkey is taken from an oven when its temperature has reached 185°F and is placed on a table in a room where the temperature is 76°F.Find the... more
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