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Artist 52 [7]
3 years ago
5

What number would you subtract from each side of the inequality to solve y+3/8>6

Mathematics
1 answer:
suter [353]3 years ago
3 0
3/8

y+3/8> 6
y> 5 5/8

     
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A restaurant has 26 tables in its dining room. It takes the waitstaff 10 minutes to clear and set 4 tables. At this rate, how lo
lutik1710 [3]
Well, its 10 for 4. so 8 is 20, 12 is 30, 16 is 40 20 is 50, and 24 is 1 hour, 2 tabels is half the time so 5 min... so it would take -1 hour and 5 min
5 0
3 years ago
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Researchers at a lake have determined that the percentage of fish in the lake that are intolerant to pollution can be estimated
dusya [7]

Answer:

a. 23.02 %

b. 49%

c. W

Step-by-step explanation:

Solution:-

- A multi-variable function for the percentage of fish in the lake that are intolerant to the pollution is given as:

                     P ( W , R , A ) = 49 - 1.61W - 1.41R - 1.38A

Where,

             W: percentage of wetland

             R: percentage of residential area

             A: percentage of agriculture

- We are to evaluate the percentage of fish intolerant to pollution in the case where W = 3 , R = 15 , A = 0. We will plug in the values in the modeled function P ( W , R , A ) as follows:

                     P ( 3 , 15 , 0 ) = 49 - 1.61*3 - 1.41*15 -1.38*0\\\\P ( 3 , 15 , 0 ) = 23.02\\

- To determine the maximum percentage of fish that will be intolerant to pollution we will employ the use of critical points. The critical point that is defined by the linear relationship between P and all other parameters ( W, R , A ). The maximum value occurs when W = R = A = 0.

                   P ( 0 , 0 , 0 ) = 49 - 1.61*0 -1.41*0 - 1.38*0 = 49

- Hence, the maximum value of the function is 49%.

- The linear relationship between each induvidual parameter ( R, W , A ) and the function ( P ) is proportional in influence. The extent of influence can be quantized by the constant multiplied by each parameter.

- We see that that ( 1.61*W ) > ( 1.41R ) > ( 1.38A ). The greatest influence is by parameter ( W ) i.e the influence of percentage of wetlands .

                   

6 0
3 years ago
Which trigonometric function has a range that does not include 0.4?
Montano1993 [528]
<h2>Hello!</h2>

The answer is: y=cscx

<h2>Why?</h2>

Domain and range of trigonometric functions are already calculated, so let's discard one by one in order to find the correct answer.

The range is where the function can exist in the vertical axis when we assign values to the variable.

First:

y=cosx: Incorrect, it does include 0.4 since the cosine range goes from -1 to 1 (-1 ≤ y ≤ 1)

Second:

y=cotx: Incorrect, it also does include 0.4 since the cotangent range goes from is all the real numbers.

Third:

y=cscx: Correct, the cosecant function is all the real numbers without the numbers included between -1 and 1 (y≤-1 or y≥1).

Fourth:

y=sinx : Incorrect, the sine function range is equal to the cosine function range (-1 ≤ y ≤ 1).

I attached a pic of the csc function graphic where you can verify the answer!

Have a nice day!

8 0
4 years ago
If ab = 10 and a2 + b2 = 30, what is the value of<br> (a + b)^2?
Bogdan [553]
Ab=10
a^2+b^2=30
((a+b)^2=a^2+2ab+b^2=a^2+b^2+2*10=30+20=50

6 0
3 years ago
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Which of these is an open sentence?<br><br> 1. 10-2=8<br> 2. 12+2=15<br> 3. n-3=7<br> 4. 3-3=0
Flura [38]
3. n-3=7 ? Does this answer your question?
4 0
3 years ago
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