12/03/23

How do I find equations of both tangent lines to the graph of the ellipse 𝑥^2/4+𝑦^2/9=1 that passes through the point (0,4)

The answer is y=4x/3 + 4 and y= -4x/3 + 4; but when I solve for the dy/dx I get the slope is = 0 so there is only one equation y=4; However when I graphed this and it is not tangent to the eclipse.... more
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12/03/23

Find Recurrence relation

3,5,11,21,43, 85
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12/03/23

Simple interest rate
The principal P is borrowed at a simple interest rate r for a period of time t. Find the simple interest owed for the use of the money. Assume 365 days in a year.P​ = ​$9000​, r​ = 7.5​%, t​ = 18... more
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12/03/23

Calculus Question
A stone is thrown straight down from the edge of a roof, 1125 ft above the ground, at a speed of 5 ft/sec.A. Given that the acceleration due to gravity is -32 ft/sec2, how high is the... more
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12/03/23

Calculus Question
A stone is dropped from the edge of a roof, and hits the ground with a velocity of −100 feet per second. Assume the acceleration due to gravity is -32 feet per second squared. How high (in feet) is... more
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12/03/23

A car traveling at 43 ft/sec decelerates at a constant 8 feet per second per second. How many feet does the car travel before coming to a complete stop? .
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12/03/23

write an equation in point-slope form of the line that passes through the point (5,6) with slope (3,5)
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12/03/23

write an equation in point-slope form of the line that passes through the point (5,6) with slope (3,5)
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12/02/23

orginal price math
Today only, a suit is being sold at a 20% off discount. The sale price is $284 What was the original price ?
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12/02/23

Easiest way of mathematical question to solve without calculator.

X² of large number
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12/02/23

At the movie theater child admission is $5.30 and adult admission is $9.40 . On Tuesday 157 tickets were sold for a total sales of $1078.10 . How many child tickets were sold that day?
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12/02/23

What was the initial population at time t=0?  Find the size of the bacterial population after 3 hours. 
The doubling period of a bacterial population is  10 minutes. At time t=90 minutes, the bacterial population was 60000.What was the initial population at time t=0?    Find the size of the bacterial... more
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12/02/23

Complex Numbers
Explain the difference between rectangular form and polar form of a complex number.Explain why there are two possible distinct results when simplifying (a+bi)^1/2
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12/02/23

Transformations
TransformationsExplain how each transformations below would alter the graph of f(x). f(x + 2):f(x) + 2::Use the f(x) given below to determine the transformed functions. Given: f(x) = 3x + 1,... more
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12/02/23

Find the magnitude and direction angle of the vector v.
v = 9i − 9j
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12/02/23

Find a unit vector in the direction of the given vector. Verify that the result has a magnitude of 1.
w = 7j − 4i
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12/02/23

find the component form of v given its magnitude and the angle it makes with the positive x-axis.
magnitude: ||v|| = 7/8angle: 150 degrees
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12/02/23

Find the component form of v, where u = 4i − j and w = i + 2j.
v = u - 4w
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12/02/23

Quadratic Word Problems
Katie makes and sells t-shirts. Her profit can be modeled by the function P(x) = -25x^2 + 625x - 2500, where x is the selling price of the shirt and P (x) is the profit made for each different... more
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12/02/23

Quadratic Word Problems
At a swim meet, Janet dives from a diving board. Her position above the water is represented by the equation h(t) = -16t^2+24t+40, where t represents the time in seconds at h(t) represents the... more
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12/01/23

Line a passes through the points (−1, 2) and (3, 4). Line b passes through the points (−5, 0) and (3, 4).

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12/01/23

The dolphin dives 20 feet below the surface of the ocean. What is its new elevation?

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12/01/23

What was the number of families who had incomes less than 35,000 per year 9 years ago
In a local town, 31,500 families have incomes less than $35,000 per year. This number of families is 70% of the families that had this income level 9 years ago. What was the number of families who... more
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12/01/23

Plane what time will they be at the same altitude.
an air traffic controller is tracking two planes. To start, Plane A is at an altitude of 2651 feet and Plane B is just taking off. Plane A is gaining altitude at 25.5 feet per second and Plane B is... more
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12/01/23

A line that includes the points ( – 4, – 6) and (d,4) has a slope of 10 7 . What is the value of d?
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