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Dahasolnce [82]
3 years ago
8

The midpoint of AB is M(6,-3). If the coordinates of A are (4, - 7), what are the

Mathematics
1 answer:
Alex Ar [27]3 years ago
7 0

Answer:

(8,1)

Step-by-step explanation:

(8,1) you have to add do to the same to B

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The marginal price per pound (in dollars) at which a coffee store is willing to supply x pounds of Jamaican Blue Mountain coffee
il63 [147K]

Answer:

Thus, the coffee shop is willing to supply 6 pounds per week at a price of $4 per pound.

Step-by-step explanation:

We are given the following information in the question:

The marginal price per pound (in dollars) is given by:

p'(x) = \displaystyle\frac{208}{(x+7)^2}

where x is the supply in pounds.

P(x) = \displaystyle\int p'(x)~dx =\displaystyle\int\displaystyle\frac{208}{(x+7)^2}~dx\\\\P(x) = \frac{-208}{(x+7)} + c\\\\\text{where c is the constant of integration.}

The coffee shop is willing to supply 9 pounds per week at a price of $7 per pound.

Thus, we are given that

P(9) = 7

Putting the values, we get,

P(x) = \displaystyle\frac{-208}{(x+7)} + c\\\\P(9) = 7\\\\\displaystyle\frac{-208}{(9+7)} + c = 7\\\\c = 7 + \frac{208}{16} = 20

P(x) = \displaystyle\frac{-208}{(x+7)} + 20

Now, we have to find how many pounds it would be willing to supply at a price of $4 per pound.

P(x) = 4

P(x) = \displaystyle\frac{-208}{(x+7)} + 20 = 4\\\\\frac{-208}{x+7} = -16\\\\x + 7 = 13\\x = 6

Thus, the coffee shop is willing to supply 6 pounds per week at a price of $4 per pound.

3 0
3 years ago
A function f is​ _____ on an open interval I​ if, for any choice of x1 and x2 in​ I, with 1 less than
Zepler [3.9K]

Answer:

If f(x_1)\leq f(x_2) whenever x_1\leq x_2 f is <em>increasing</em> on I.

If f(x_1)\geq f(x_2) whenever x_1\leq x_2 f is <em>decreasing</em> on I.

Step-by-step explanation:

These are definitions for real-valued functions f:I→R. To help you remember the definitions, you can interpret them in the following way:

When you choose any two numbers x_1\leq x_2 on I and compare their image under f, the following can happen.

  • f(x_1)\leq f(x_2). Because x2 is bigger than x1, you can think of f also becoming bigger, that is, f is increasing. The bigger the number x2, the bigger f becomes.
  • f(x_1)\geq f(x_2). The bigger the number x2, the smaller f becomes so f is "going down", that is, f is decreasing.

Note that this must hold for ALL choices of x1, x2. There exist many functions that are neither increasing nor decreasing, but usually some definition applies for continuous functions on a small enough interval I.

3 0
3 years ago
If DE≅EF, CD = v + 45, and CF = 4v, what is the value of v?
irinina [24]

Answer:

<h2><u>since </u><u>DE≅EF</u></h2>

<u>CD=</u><u>CF </u><u>(</u><u>cpct)</u>

<u>v + 45 = 4v \\ 4v - v = 45 \\ 3v = 45 \\ v =  \frac{45}{3}  \\  v = 15</u>

<h2><u>hope</u><u> it</u><u> helps</u><u> you</u><u><</u><u>3</u></h2>
3 0
2 years ago
3. Factory farming funk - The US Environmental Protection Agency (EPA) recently reported that confined animal feeding operations
Vikentia [17]

Answer:

Step-by-step explanation:

Hello!

There was a survey made in Michigan asking the residents if they were in favor of or against the creation of standards to limit pollution by CAFOs.

Using the results of the survey the student that conducted it estimated the population proportion of Michigan residents that are in favor of the creation of standards to limit pollution by CAFOs.

The calculated 95% CI is [0,7752; 0,8248]

Interpretation: With a 95% confidence level you'd expect that the interval [0,7752; 0,8248] will include the true population proportion of Michigan residents that are in favor of the creation of standards to limit pollution by CAFOs.

i.e. If you were to construct 100 confidence intervals, you'd expect 95 of them to contain the true value of the proportion of Michigan residents that are in favor of the creation of standards to limit pollution by CAFOs.

With this in mind:

Consider all of the following statements and determine which among them is incorrect

1) There is a 95% probability that the actual percent of Michigan residents in favor of pollution standards is between 77.52% and 82.48%. INCORRECT

2) Approximately 95% of MSU students favor pollution standards at a rate of 77.52% and 82.48%. INCORRECT

The confidence level is the probability that the interval will contain the true value of the parameter of interest and the bonds of the interval indicate the possible range of that parameter.

Also in 1) The parameter is not defined correctly, and in 2) the population of interest is incorrect.

3) If this study were repeated many times, we'd expect approximately 95% of future confidence intervals to contain the true rate at which Michigan residents favor the creation of pollution standards. CORRECT

4) With 95% confidence, we estimate the true rate at which Michigan residents favor the creation of pollution standards to be between 77.52% and 82.48%. CORRECT

I hope it helps!

6 0
3 years ago
Whats 1+1 please help
GREYUIT [131]

Answer:

Two haha

Step-by-step explanation:

but thanks for the points (:

8 0
3 years ago
Read 2 more answers
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