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photoshop1234 [79]
3 years ago
6

A feasible region has vertices at (4, 6), (-2, 3), (2, -2), and (3, 1). At which point is the maximum value of the function f(x,

y) = 2x + y?
a. f(3, 1)
c. f(4, 6)
b. f(2, -2)
d. f(-2, 3)
Mathematics
1 answer:
anygoal [31]3 years ago
6 0
Ans: C

To deduce this, plug in each of the vertices points into f(x,y) and see which one spits out the greatest number. It happens that f(4,6)=14 > f(3,1) > f(2,-2) > f(-2,3)
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A population mean of 360, a standard deviation of 4, and a margin of error of 2.5%
Ad libitum [116K]

Answer:

(351.04, 368.96)

Step-by-step explanation:

Given that population mean= 360

Std devitaion = 4

margin of error = 2.5%= 0.025

Since population std deviation is known we can use Z critical value

For two tailed critical value for 2.5% would be

2.24

Margin of error = ±Critical value*std deviation

= ±2.24(4)

= ±8.96

Confidence interval =(Mean - margin of error, mean + margin of error)

=(360-8.96, 360+8,.96)\\= (351.04, 368.96)

3 0
4 years ago
Given that sectheta = -37/12 what is the value of cottheta for pi/2 < theta< pi?
lys-0071 [83]

Answer:

cotg(\theta) = -\frac{12}{35}

Step-by-step explanation:

The cotangent of theta is:

cotg(\theta) = \frac{\cos{\theta}}{\sin{\theta}}

For pi/2 < theta< pi

This means that the angle is in the second quadrant. In the second quadrant, the cosine is negative and the sine is positive. This means that the cotangent will be negative.

Secant:

sec(\theta) = \frac{1}{\cos{\theta}}

In this question

sec(\theta) = -\frac{37}{12}

So

-\frac{37}{12} = \frac{1}{\cos{\theta}}

Using cross multiplication

-37\cos{\theta} = 12

37\cos{\theta} = -12

\cos{\theta} = -\frac{12}{37}

Now we apply the following trigonometric identity:

\sin{\theta}^{2} + \cos{\theta}^{2} = 1

\sin{\theta}^{2} + (-\frac{12}{37})^{2} = 1

\sin{\theta}^{2} = 1 - (-\frac{12}{37})^{2}

\sin{\theta}^{2} = 1 - \frac{144}{1369}

\sin{\theta}^{2} = \frac{1369 - 144}{1369}

\sin{\theta} = \pm \sqrt{\frac{1225}{1369}}

Since the angle is in the second quadrant, the sine is positive.

\sin{\theta} = \frac{35}{37}

Finally, the cotangent:

cotg(\theta) = \frac{\cos{\theta}}{\sin{\theta}}

cotg(\theta) = \frac{-\frac{12}{37}}{\frac{35}{37}}

cotg(\theta) = -\frac{12}{35}

4 0
4 years ago
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FrozenT [24]

jill will make less money if they work for 4 hours

6 0
4 years ago
At the park there are 243 dogs there are 512 more cats than dog how many animals are there at the park
bagirrra123 [75]

Answer:

There are 998 animals.

Step-by-step explanation:

243 + 512 = 755.

243 ( dogs) + 755 (cats) = 998

6 0
3 years ago
What is the solution to the system of equations?
sineoko [7]

Answer:

A solution to a system of equations is a set of values for the variable that satisfy all the equations simultaneously. In order to solve a system of equations, one must find all the sets of values of the variables that constitutes solutions of the system.

Step-by-step explanation:

3 0
4 years ago
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