01/26/24

In this question, we discover the height of a mountain which is surrounded by rugged terrain.
In this question, we discover the height of a mountain which is surrounded by rugged terrain. Suppose A and B are two towns located nearby a mountain whose base is at M and whose peak is at N. The... more
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12/14/22

Simple harmonic motion question
I was working through my textbook and came across these 2 questions:An object is undergoing SHM with period 0.900 s and amplitude 0.320 m. At t = 0 the object is at x = 0.320 m and is... more
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12/14/22

Find the missing values assuming continuously compounded interest.
Initial Investment = 650Annual % Rate = ?Time to double = 6,1/5 yrAmount after 10 years = ?
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12/14/22

An arrow is shot at an angle 20 degrees from the horizontal. If its height is increasing at 250 km/hr, how fast is the arrow itself going? (Not the horizontal speed, but it's actual diagonal speed.)
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12/03/22

Projectile Motion
Someone in a car going past you at the speed of 39 m/s drops a small rock from a height of 1.5 m. How far from the point of the drop will the rock hit the ground? The acceleration due to gravity is... more
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12/03/22

Projectile Motion
A hiker makes four straight-line walksA 21 km at 269 ◦ B 12 km at 155 ◦C 23 km at 33 ◦D 21 km at 161 ◦in random directions and lengths starting at position (41 km, 41 km),How far from the starting... more
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12/03/22

Write an equation in standard form for the line that passes through the given points.
(0,2) and (3,0)
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12/03/22

csc(x)=cot(x)-1
csc(x)=cot(x)-1
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12/02/22

Use a cosine function to describe the height of the tides of the ocean if high tide raises the water level to 5 m at noon and low tide drops it down to 1 m at 4 p.m. Let t = 0 be 12 noon.
Use a cosine function to describe the height of the tides of the ocean if high tide raises the water level to 5 m at noon and low tide drops it down to 1 m at 4 p.m. Let t = 0 be 12 noon.Grade 12... more
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11/28/22

Find the unique polynomial with real coefficients that meets these conditions----- Degree 4, zeros at x=3, x=-4, x=2-i; f(0)= -120
find f(x)A similar problem but with different degrees and zeros answer was: 2x4- 8x3+12x2-8x-30
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11/28/22

What is the image of (4,-1)(4,−1) after a reflection over the line y=xy=x?
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11/28/22

Precalculus: Find z. w and z/w. Write your answer in both polar form and exponential form.
Let z=2(cos 2pi/3 + isin 2pi/3),w=4(cos 5pi/9 + isin 5pi/9).Find z. w and z/w. Write your answer in both polar form and exponential form.
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11/26/22

Precalculus: triangle word problem
A sailboat leaves port on a bearing of S72 degrees W. After sailing for two hours at 12knots, the boat turns 90 degrees toward the south. After sailing for three hours at 9 knots on this course,... more
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11/26/22

Precalculus: Solve the equation on the interval 0 ≤ 𝜃 < 2𝜋. sin(2theta) + sin theta = 0
Solve the equation on the interval 0 ≤ 𝜃 < 2𝜋. sin(2 theta) + sin theta = 0
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11/26/22

Precalculus: Establish the identity. sin(2theta) tan theta+ cos(2 theta) = 1
Establish the identity. sin(2theta) tan theta+ cos(2 theta) = 1
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11/26/22

Precalculus: Graph the Tan function
Graph the function. y = tan(1/4 𝑥) + 1
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11/26/22

precalculus: Graph the cosine function
Graph the function. Show at least one period.  y=2cos(−5𝑥+𝜋)
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11/24/22

The recursive formula, an = an-1 - 12 with a0 = 84 describes the amount of water left, in gallons, in a bathtub n after the drain stopper was pulled
The recursive formula, an = an-1 - 12 with a0 = 84 describes the amount of water left, in gallons, in a bathtub n after the drain stopper was pulled. Find a5, he amount of water left in the tub... more
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11/24/22

Wiyot is earning money for a longboard by selling lemonade at the soccer fields
Wiyot is earning money for a longboard by selling lemonade at the soccer fields. Being a precocious and poorly-supervised 12 year old, Wiyot has no transportation and decides to use water from a... more
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11/23/22

Ships in nautical miles
At noon, ship A is 10 nautical miles due west of ship B. Ship A is sailing west at 15 knots and ship B is sailing north at 17 knots. How fast (in knots) is the distance between the ships changing... more
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11/21/22

A daredevil is shot out of a cannon at 44.0 ◦ to the horizontal with an initial speed of 29.1 m/s.

A net is positioned at a horizontal distance of 47.7 m from the cannon from which the daredevil is shot. The acceleration of gravity is 9.81 m/s 2 . At what height above the cannon’s mouth should... more
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11/10/22

A hiker makes four straight-line walks A 32 km at 140 ◦ B 27 km at 291 ◦ C 12 km at 55 ◦ D 18 km at 302 ◦
How far from the starting point is the hiker after these four legs of the hike? All angles are measured in a counter-clockwise direction from the positive x-axis. Answer in units of km.
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06/15/22

2. What is the rate of change of the pressure of the atmosphere as altitude increases in meters? Write a sentence answering this question using the phrase “rate of change.”
1. At the beach in San Francisco (0 meters) the pressure of the atmosphere is 101.325 kPa(kilopascals) and in Denver, 1609.344 meters above sea level, the pressure of the atmosphereis about 83.437... more
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06/12/22

I've been given a graph: Q equals 16e^-0.15t shown in the image below: A. What's the initial value of Q when t equals 0? so Q (0) = ? B. And this quantity decays at a continuous rate of what %?

C. Now estimate the value of t when Q equals 4 using the graph below: so t≈D. Now use logs to find exact value of t when Q = 4, so t = ?
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06/09/22

Angle of depression
From the top of a building the angle of depression of the top and the base of a flagpole is 20 degrees and 43 degrees respectively the flagpole is 12 meters away from the base of the building than... more
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