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
12/06/23
i need help solving this
This exercise uses the exponential growth model.The count in a culture of bacteria was 200 after 2 hours and 12,800 after 6 hours.(a)What is the relative rate of growth of the bacteria population?...
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12/06/23
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...
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The Normal Distribution
IQ is normally distributed with a mean of 100 and a standard deviation of 15.
a) Suppose one individual is randomly chosen. Find the probability that this person has an IQ greater than 95.
Write...
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12/06/23
The height, in meters, above sea level of a NASA launched rocket is given by h ( t ) = − 4.9 t^2 + 301 t + 94
The height, in meters, above sea level of a NASA launched rocket is given by h(t)=−4.9t2+301t+94 where t represents the number of seconds since the rocket was launched.Assuming that the rocket will...
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12/05/23
Stuck on question
If a and b are both odd integers, which of the following MUST also be an odd integer?a+ba-baxba/b
12/05/23
Stuck on math problem
The radius of the circular top or bottom of a tin can with a surface area S and a height h is given by r = (- h + sqrt(h ^ 2 + 0.64S))/2 What radius should be used to make a can with a height of 15...
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12/05/23
Stuck on problem
At the Museum of Transportation it was estimated 42% of all visitors are from in state. On Saturday, 6,000 people attended the museum. What is the number of out of state people in attendance?
12/05/23
Quadratic equations
Write the quadratic equation in the form of ax2+bx + c=0 with the roots d abd f.
12/05/23
At 1 PM, ship A is 5 kilometers strictly to the west of ship B. Ship A is sailing west at speed 20 km/hour and ship B is sailing north at 30 km/hour. Distance between ships changing at 3 PM?
Here's the full question. PLEASE help asap. At 1 PM, ship A is 5 kilometres strictly to the west of ship B. Ship A is sailing west at speed 20 km/hour and ship B is sailing north at 30 km/hour....
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12/05/23
Stuck on problem
3. A rectangle has a length of sqrt(171) and a width of sqrt(51) . What is the best estimate for its area?
12/05/23
piecewise-defined function: f(x) = ( − sin(a x) if x ≤ 0 x if x > 0 (a) For what values of a, if any, is the function f(x) continuous at x = 0? what parameter a that makes f differentiable at every x?
Consider the following piecewise-defined function: f(x) = ( − sin(ax) if x ≤ 0 ( x if x > 0 (a) For what values of a, if any, is the function f(x) continuous at x = 0? (b) Is there a...
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12/05/23
A 1-year loan with a 5% APR will have the most interest charged with what type of compounding?
12/05/23
The half-life of a certain substance is 30 years. How long will it take for a sample of this substance to decay to 80% of its original amount?
Need some help lol
12/05/23
help please i dont understand.....
Suppose that you and a friend are playing cards and you decide to make a friendly wager. The bet is that you will draw two cards without replacement from a standard deck. If both cards are clubs,...
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12/05/23
ind the angle 𝜃 (in degrees) between the vectors. (Round your answer to two decimal places.)
u= 3i + 4jv= -7i + 5j𝜃 =
12/05/23
Solve the system by the method of elimination. (If there is no solution, enter NO SOLUTION. If the system is dependent, enter a for x and enter y in terms of a.)
25x - 5y = -15-5x + y = 3 (x,y)=
12/05/23
The initial and terminal points of a vector are given. Write the vector as a linear combination of the standard unit vectors i and j.
initial point: (-2,1)terminal point: (5,-5)
12/05/23
what is the slope of (-6,9),(7,-9)
12/04/23
how do i find matrices?
12/04/23
How do I find B?
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