The gravitational force of attraction between two masses m and M at a distance apart of R is F=(GmM)/R2 Where G is the universal gravitational constant. Suppose that m is the mass...

The gravitational force of attraction between two masses m and M at a distance apart of R is F=(GmM)/R2 Where G is the universal gravitational constant. Suppose that m is the mass...

The length of a rectangle is 2 meters longer than three times the width. Use l for the length and w for the width of the rectangle

investor has deposited $80,000 in an account that pays 5.3% annual interest, compounded continually. How long will it take until the accounts balance is $100,000?

The cost, C(x), of producing x Totally Cool Coolers is modeled by the function C(x) = 0.005 x^2 -0.25 x + 24 How many coolers need to be produced and sold in order to minimize the...

In 1997, lowe's had 427 stores nationwide. By 1999, this total had grown to 520. If the number of stores continues to grown exponentially at this rate, how many stores will there be in 2017? ...

An investor has deposited $80,000 in an account that pays 5.3% annual interest, compounded continually. How long will it take until the accounts balance is $100,000?

Find an equation for the parabola described by its vertex, directrix, and focus point: vertex (√2, -√3), directrix x=2√2, focus (0, -√3)

Suppose that f(100,50)=230 and fx(100,50)=2 and fy(100,50)=−3. What value should y be in order that f(101,y) = 230? I tried 50(2/3) but it didn't like that answer. Help...

Given the exponential equation:(5/3)6x+2=(9/25)-x+2, find a common base and solve for x. a) -2/3 b) -3/2 c) 3/2 d) 2/3

Conditional Probability & Independent Events

Given the exponential equation:(5/3)6x+2=(9/25)-x+2, find a common base and solve for x. a) -2/3 b) -3/2 c) 3/2 d) 2/3

Given the center, a vertex, and one focus, find an equation for the hyperbola: center: (4, −2); vertex (4, 2); one focus (4, -2+4√5)

Given the equation of an ellipse, identify the center point: 4x2 + 40x + 25y2 - 100y + 100 = 0

For the rational function f(x)=(x2-1)/(x3+9x2+14x), find the domain. a) (-∞, -7)∪(-7, -2)∪(-2, ∞) b) (-∞, -7)∪(-7, -2)∪(-2, 0)∪(0, ∞) c) (-∞, 0)∪(0, ∞) d) (-∞, 0)∪(0, 2)∪(2,...

Given the vectors, a = 3i + 4j, b = -2i + 5j, c = 10i -j, find a + (b - c) = ?

A force of 50 pounds is directed 30 from the horizontal, find the vector that represents this force

I need help! 1)Graph the parametric curve. x(t)=3t y(t)+9t^2 t=1 2) graph the polar equation r=theta^2 3) graph the polar equation. r=5cos(theta) 4)graph...

You wish to build a rectangular pen facing north-south and east-west. there will be one north-south interior fence from the southern border to the northern border. the north-south fence costs $3 per...

A cup of coffee was made at a temperature of 90°C and cools according to Newton's law of cooling. The room temperature is 30°C. If the temperature of the coffee 20 minutes after being made was 40°C (a)...

Solve the equation x′=3(100−x) with the initial condition x(0)=80. For what value of t is x(t)=40? (university level math)

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