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romanna [79]
4 years ago
6

What is the value of b in the equation (y^-9)^b=y^45?

Mathematics
1 answer:
nevsk [136]4 years ago
5 0

Answer:

b = (log(y^45))/log(1/y^9) + (2 i π n)/log(1/y^9) for n element Z

Step-by-step explanation:

Solve for b:

(1/y^9)^b = y^45

Take the logarithm base 1/y^9 of both sides:

Answer: b = (log(y^45))/log(1/y^9) + (2 i π n)/log(1/y^9) for n element Z

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The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. The cost of cultivating corn and wheat (includin
babunello [35]

Answer:

He should plant 100 acres of corn and 400 acres of wheat.

Step-by-step explanation:

This problem can be solved by a siple system of equations.

]x denotes the number of acres of corn

y denotes the number of acres of wheat

Building the system:

The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. This means that:

x + y = 500

The cost of cultivating corn and wheat (including seeds and labor) is $42 and $30 per acre, respectively. Jacob Johnson has $16,200 available for cultivating these crops. This means that:

42x + 30y = 16,200

So, we have the following system

1) x + y = 500

2) 42x + 30y = 16,200

If he wishes to use all the allotted land and his entire budget for cultivating these two crops, how many acres of each crop should he plant?

1) x + y = 500

2) 42x + 30y = 16,200

I am going to write y as a function of x in 1), and replace in 2). So:

x + y = 500 means that y = 500-x

42x + 30y = 16,200

42x + 30(500-x) = 16,200

42x + 15000 - 30x = 16,200

12x = 1,200

x = \frac{1,200}{12}

x = 100

Now, going back to 1:

y = 500 - x = 500 - 100 = 400

He should plant 100 acres of corn and 400 acres of wheat.

5 0
3 years ago
Use a translation rule to describe the translation of ABC that is 6 units to the right and 10 units down.​
vesna_86 [32]

Answer:

(x, y ) → (x + 6, y - 10 )

Step-by-step explanation:

6 units right is + 6 in the x- direction

10 units down is - 10 in the y- direction

the translation rule is

(x, y ) → (x + 6, y - 10 )

6 0
3 years ago
What is the slope intercpet form of a line that goes through (-1,2) and (0,3)
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8 0
3 years ago
I'LL WON'T BE OFFEND IF U DON'T HELP ME WITH THIS
Evgesh-ka [11]

The average is found by adding the numbers and dividing by 2.

Since the average is 17, the total of the two numbers must equal 17 x 2 = 34.


One number is given as 11, so subtract 11 from 34:

34 - 11 = 23

The other number is 23.

Too check: add 11 and 23 and then divide by 2:

11 + 23 = 34

34/2 = 17.

5 0
4 years ago
Read 2 more answers
A 16- ounce bottle of fresh water is $1.76. A 20-ounce bottle of spring water is $2.40. Which statement about the unit price is
PSYCHO15rus [73]

To find the unit price of each item you want to divide:

Fresh water:

$1.76 / 16 = $0.11

Spring water:

$2.40 / 20 = $0.12

So the statement that is true is B) Fresh water has a lower unit price of $0.11/ounce.

Hope this Helps!!

7 0
3 years ago
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