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IgorLugansk [536]
3 years ago
14

How many and what type of solutions?

Mathematics
1 answer:
kolbaska11 [484]3 years ago
3 0
Hello,

2k²-3k-9=0
==>k=3 or k=-3/2

Answer C two rational solutions.
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Add your two totals together,
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Find the first partial derivatives of the function f(x,y,z)=4xsin(y−z)
Amanda [17]

Answer:

f_x(x,y,z)=4\sin (y-z)

f_x(x,y,z)=4x\cos (y-z)

f_z(x,y,z)=-4x\cos (y-z)

Step-by-step explanation:

The given function is

f(x,y,z)=4x\sin (y-z)

We need to find first partial derivatives of the function.

Differentiate partially w.r.t. x and y, z are constants.

f_x(x,y,z)=4(1)\sin (y-z)

f_x(x,y,z)=4\sin (y-z)

Differentiate partially w.r.t. y and x, z are constants.

f_y(x,y,z)=4x\cos (y-z)\dfrac{\partial}{\partial y}(y-z)

f_y(x,y,z)=4x\cos (y-z)

Differentiate partially w.r.t. z and x, y are constants.

f_z(x,y,z)=4x\cos (y-z)\dfrac{\partial}{\partial z}(y-z)

f_z(x,y,z)=4x\cos (y-z)(-1)

f_z(x,y,z)=-4x\cos (y-z)

Therefore, the first partial derivatives of the function are f_x(x,y,z)=4\sin (y-z), f_x(x,y,z)=4x\cos (y-z)\text{ and }f_z(x,y,z)=-4x\cos (y-z).

4 0
3 years ago
In a fast food study a researcher finds that mean sodium content of 32 Wendy's fish sandwiches is 1080 milligrams with a standar
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Answer:

Since 95% confidence interval contains 0 we conclude at 95% confidence level that the two means are equal.

Step-by-step explanation:

Given that in a  fast food study a researcher finds that mean sodium content of 32 Wendy's fish sandwiches is 1080 milligrams with a standard deviation of 75 milligrams. The mean sodium content of 39 Long John Silver's fish sandwiches is 1120 milligrams with a standard deviation of 100 milligrams

H0: The two means are equal

Ha: The two means are not equal

(Two tailed test at 5% level)

Variable A Variable B

Mean 1080.00 1120.00

SD 75.00 100.00

SEM 13.26 16.01

N 32 39

95% CI: -82.65 to 2.65

Since 95% confidence interval contains 0 we conclude at 95% confidence level that the two means are equal.

7 0
2 years ago
QUESTION 7 7.1 The fifth term of an arithmetic sequence is zero and the thirteenth term is equal to 16. Determine: the common di
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Answer:

2

Step-by-step explanation:

The first term is our fifrth and 13th is our 9th term in the new sequence. So each step has to be 2. 2 * 8 = 16

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