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in an optimal environment, a bacterial population grows exponentially. At noon in the sewage treatment plant, experimenters introduce specially cultured bacteria into a barrel full of rich nutrients. We will assume that the bacteria population in the barrel is modeled by an exponential function.
Let N(t) be the number of bacteria after t days. Then N(t)= Pa^t for some constants P and a. Measurements indicate that N(2)= 5400 and N(6)= 382000.
Write down 2 equations to compute a and P, one when t=2 and the other when t= 6.
Use these equations to compute P and a. Round your values to three sig digits.
Given a set of all real numbers containing 4s and 5s in their decimal representation. Determine the given set is countable or uncountable.
A rectangular study plot is to be enclosed by 625 m of fencing. What are the dimensions of the study plot that will have the largest area?
Suppose S is a linear space defined below. Are the following mappings L linear transformations from S into itself? If answer is yes, find the matrix representations of formations (in standard basis):
a steep mountain is inclined 79 degrees to the horizontal and rises 3100 ft. above the surrounding plain. a cable car is to be installed from a point 900ft from the base of the mountain. find the shortest length of cable needed?
Please provide your own real-world example from your work or life using the slope and y-intercept. What are the slope and y-intercept in your example?
Give the y values for x = -2, -1, 0, 1, 2, 3. Using these points, draw a curve.
Give examples of Quadratic relationships in either nature or business, Remember, a quadratic relationship
A wrench 0.2 meters long lies along the positive y-axis, and grips a bolt at the origin. A force is applied in the direction of at the end of the wrench. Find the magnitude of the force in newtons needed to supply 100 newton-meters of torque to ..
If a plant was designed to produce 7,000 hammers per day but is limited to making 6,000 hammers per day because of time needed to change equipment between styles of hammers, what is the utilization? Format as xx.x% (include the % sign.)
Assume that, at a certain college, 33% of all physics majors belong to ethnic minorities. Given a random sample of 10 physics majors, find the probability of the indicated event. Round your answer as appropriate.
Evaluate the length and width of the given rectangle using the area and the relation of length and width.
How do I go about solving and then graphing the following system?
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