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Annette [7]
3 years ago
12

The graph shows the influence of the temperature T on the maximum sustainable swimming speed S of Coho salmon. (b) Estimate the

values of S '(5) and S '(25).

Mathematics
2 answers:
Alex17521 [72]3 years ago
3 0
From the graph it appears that S′(5) 2 ≈ and S′(25) 2 ≈ − . The important thing is that they do have opposite signs. The first means that at about 5ºC the Coho gains about 2 cm/sec while at 25ºC it loses about 2 cm/sec in maximum sustainable speed.
ivann1987 [24]3 years ago
3 0

Answer:

From the graph of S, we want to have information about S' (the derivate of S)

For S'(5) we need to look at the beginning of the curve, we can see that S(5) is a value around the 15cm/s, and it increases after that point, so S'(5) must be a positive number, this means that the neighborhood of T = 5°C, the speed will increase as the temperature increases.

For S'(25) we can see that the graph decreases after that point, so S'(25) is a negative number, this means that after the 25°C, if we keep increasing the temperature we will have a decrease in the speed.

We can make an estimation about the values:

now, the average rate of change in an interval can be calculated as:

S' = (Y2 - Y1)/(X2 - X1)

S is almost linear between T = 5°C and 10°C and we have that

S(5) = 15cm/s and S(10) = 20cm/s

so we can find the average rate of change in that interval as:

S' = (20cm/s - 15cm/s)/(10°C  - 5°C) = 1(cm/s°C)

So we can estimate that S'(5) is around 1 (cm/s°C)

We can do something similar for S'(25)

we can estimate that S(20) = 25cm/s and S(25) = 20cm/s

so the average rate of change is:

S' = (20cm/s - 25cm/s)/(25°C - 20°C) = -1 (cm/s°C)

So we can expect that S'(25) is around -1 (cm/s°C)

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Rewrite (123 + 456) + 789 using the Associative Law of Addition
adelina 88 [10]

Answer:

123 + (456 + 789)

Step-by-step explanation:

since this is an addition problem, the parenthesis don't matter, and they can be put wherever you want.

(123 + 456) + 789

123 + 456 + 789

(123 + 456 + 789)

123 + (456 + 789)

technically, any of these would work, but I think the kind of answer the problem is looking for is;

123 + (456 + 789)

5 0
3 years ago
12x15y=4140; x+y= ? <br> solve.
Semenov [28]

Answer: The number of $12 tickets and $15 sold are 120 and 180 respectively.

Step-by-step explanation:

The given equation is:

12x + 15y = 4140             .....(1)

Where,

x stands for $12 tickets and y stands for $15 tickets

According to the question:

x + y = 300           ....(2)

Now solving equation 1 and 2.

From equation 2:

x = 300 - y

Now putting this expression in equation 1.

12x + 15y = 4140

12(300 - y) + 15y = 4140

3600 - 12y + 15y = 4140

3600 + 3y = 4140

3y = 4140 - 3600

3y = 540

y = 180

And,

x = 300 - y = 300 - 180 = 120

The number of $12 tickets sold = x = 120

The number of $15 tickets sold = y = 180

Thus, the number of $12 tickets and $15 sold are 120 and 180 respectively.

4 0
3 years ago
Quadrilateral ABCD is a square. if m
olganol [36]
The answer is B. 18

Explanation:

We know that a square has 4 right angles. A right angle is 90°.

5x° = 90°
5(18)° =90°
90°=90°

Hope this helps some
4 0
3 years ago
Find the volume of this square pyramid to the nearest tenth.<br> 16 cm<br> 7 cm
V125BC [204]

Answer:

16 cm

Step-by-step explanation:

3 0
3 years ago
Can someone help me for this question please? I just keep getting wrong answer! Pls someone explain to me step by step! ASAP!!!
Kobotan [32]

Answer:

  84 feet

Step-by-step explanation:

This problem involves several steps. The first step is to realize that the given figure does not show the required number of vertical stringers. It shows 5, but there will be 7 of them. The given diagram is helpful in that it shows a vertical stringer on the centerline of the arches.

The second step is to write a function that will tell you how long the stringer will be. I find it convenient to write the equation for an arch shape such as this using the parent function h(x) = 1-x^2. This parent function gives an arch of height 1 and width 1 from center (a total width of 2). You want an arch that is 16 ft high and 40 ft wide (one side from center), so you must scale this parent function both horizontally (by 40) and vertically (by 16). It becomes ...

  H(x) = 16(1 -(x/40)^2)

The taller arch is twice this height, so the length of a vertical stringer at position x is

  vertical length = 2H(x) -H(x) = H(x)

That is, the function H(x) we defined can be used to find the length of the stringers.

The third step is to find the stringer lengths. It can save some energy if you realize that the problem is symmetrical, so that the stringer at x=-30 is the same length as the one at x=30. We need to find stringer lengths every 10 feet from -40 feet to +40 feet. Of course, the ones at ±40 feet are zero length, because that is where the two arches meet.

  H(-30) = 16(1 -(3/4)^2) = 7

  H(-20) = 16(1 -(1/2)^2) = 12

  H(-10) = 16(1 -(1/4)^2) = 15

  H(0) = 16

Then the fourth step is to add up the stringer lengths, rounding the result as required.

  7 +12 +15 +16 +15 +12 +7 = 16 + 2(34) = 84 . . . . feet (no rounding needed)

Finally, you need to answer the question asked:

  The sum of vertical stringer lengths is 84 feet.

5 0
3 years ago
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