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Jet001 [13]
2 years ago
6

Nectar foraging by bumblebees Suppose that, instead of the specific nectar function in Example 2, we have an arbitrary function

N with Ns0d − 0, Nstd > 0, N9std . 0, N0std , 0, and arbitrary travel time T.
(a) Interpret the conditions on the function N.
(b) Show that the optimal foraging time t satisfies the equation N9std − Nstd t 1 T
(c) Show that, for any foraging time t satisfying the equation in part (b), the second derivative condition for a maximum value
Mathematics
1 answer:
Anton [14]2 years ago
7 0

Answer:

B

Step-by-step explanation:

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What is the value of n in the equation –negative StartFraction one-half EndFraction left-parenthesis 2 n plus 4 right-parenthesi
fgiga [73]

Answer:

Solution to equation: n = 1

Step-by-step explanation:

We are given the following equation:

-\dfrac{1}{2}(2n + 4) + 6 = -9 + 4(2n + 1)

We have to solve the equation to find the value of n.

Solving the equation, we get,

-\dfrac{1}{2}(2n + 4) + 6 = -9 + 4(2n + 1)\\\\-\dfrac{1}{2}(2n + 4)-4(2n+1) = -9-6\\\\-n-2-8n-4 = -15\\\Rightarrow -9n = -15 + 6\\\Rightarrow -9n = -9\\\Rightarrow n = 1

Thus, value of n is 1.

4 0
2 years ago
A rectangular prism has a volume of 320 cubic cm. Its height is 8 cm. What is the area of its base? A 40 square cm B 4 square cm
Airida [17]
Volume of a prism is height x base x length. the area of the base would be calculated from the volume/ height so 
320/8 = 40 cm squared
3 0
2 years ago
A middle school chess club has 5 members: Adam, Bradley, Carol, Dave, and Ella. Two students from the club will be selected at r
laila [671]

Answer:

Probability that Adam and Ella will be selected:

\displaystyle \frac{1}{10}=0.1

Step-by-step explanation:

Probabilities

The probability of a random event E to occur is a real number between 0 and 1, both inclusive, where 0 indicates an impossible event and 1 a sure event. There are many techniques to compute probabilities depending on the particular situation and distribution.

This question will be solved by simple calculations and logic, given its simplicity. We know the middle school chess club has 5 members: Adam, Bradley, Carol, Dave, and Ella. Two of them are going to be selected at random to participate in the county chess tournament. We can calculate the number of different ways it can be done without any restriction. It's called the sample space.

The sample space of this event is the combination of 5 members regardless of their position. If {a,b,c,d,e} are the five members, then the possible combinations are {ab,ac,ad,ae,bc,bd,be,cd,ce,de}. Notice that there are only 10 possibilities because the combination ab is the same as ba since it's the same team for the tournament.

We can see there is only one combination of two specific letters out of 10. If a=Adam and e=Ella, only one combination is ae, the other 9 don't include both members, so the probability is

\displaystyle P(ae)=\frac{1}{10}=0.1

3 0
2 years ago
Mr. Matthew is testing the online popularity of his custom made belts and wallets that were marketed differently. Some items wer
Tomtit [17]
See the attached figure
===========================
<span>After 3 days, the total number of belts sold will be the same as the total number of wallets sold. The number of belts and the number of wallets Mr. Matthew sold after this many days is 27.
</span>
======================================================
Explanation of the answer:
<span>The equation that represents the number of belts sold = 3^x ⇒⇒⇒ blue graph
</span>
<span>The equation that represents the number of wallets sold = 4x+15 ⇒⇒⇒ red graph
</span>
The point of intersection represents <span>the total number of belts sold will be the same as the total number of wallets sold.</span>

8 0
2 years ago
Read 2 more answers
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
Troyanec [42]
The domain is the x values

y = 2 - x

when x = -3
y = 2 - (-3)
y = 2 + 3
y = 5....so ur points are (-3,5)

when x = -2
y = 2 - (-2)
y = 2 + 2
y = 4....so ur points are (-2,4)

when x = -1
y = 2 - (-1)
y = 2 + 1
y = 3...so ur points are (-1,3)

when x = 0
y = 2 - 0
y = 2....so ur points are (0,2)

when x = 1
y = 2 - 1
y = 1...so ur point are (1,1)

so basically, u plot all of those points
7 0
2 years ago
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