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Usimov [2.4K]
3 years ago
11

When they invest K dollars, a fishery can produce Q(K) pounds of fish per month, where Q(K) = 111 K1/3. In t months from now, th

eir total investment will be K(t)=0.5t2+100 t +517 dollars. At what rate is the production of fish changing with respect to time 4 months from now? In 4 months from now, the fisher's production will be

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
4 0

Answer:

a) The rate of production of fishers per month is changing with time at a rate of 40.5 in 4 months from the start of operations.

b) In 4 months from now, the fisher's production will be 1081.53 pounds of fishes per month.

Step-by-step explanation:

The calculation is presented in the attached images to this solution.

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7 0
2 years ago
There are (4 over 3)2 ⋅ 40 strawberries on a farm. What is the total number of strawberries on the farm? (1 point)
djverab [1.8K]

The total number of strawberries on the farm is approximately 107

<h3>Total strawberries</h3>

The total number of strawberries on the farm can be solved by evaluating the expression (4 over 3)2 ⋅ 40.

Evaluation is the completion of a mathematical operation.

Number of strawberries on the farm = (4 over 3)2 ⋅ 40

= (4/3)2 × 40

= 8/3 × 40

= (8 × 40) / 3

= 320/3

= 106.6666666666666

Approximately,

Number of strawberries on the farm = 107

A strawberry is a sweet, usually red, edible fruit of certain plants of the genus Fragaria.

A farm is a piece of land where plants are cultivated and animals are reared by the farmer.

Therefore, the total number of strawberries on the farm is approximately 107.

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6 0
1 year ago
A given line has the equation 10x 2y=−2 . what is the equation, in slope-intercept form, of the line that is parallel to the giv
aivan3 [116]

The equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12) is y = -5x + 1

<h3>Equation of a line</h3>

A line is the distance between two points

Given the equation of a line expressed as 10x + 2y = -2. Determine the slope

2y = -10x -2

y = -5x - 1

Slope of the line is -5

The equation of a line in point-slope form is y - y1 = m(x-x1)

Substitute the point and the slope of the parallel line

y - 12 = -5(x  - 0)
y - 12 = -5x
y = -5x + 12

Hence the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12) is y = -5x + 12

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3 0
1 year ago
Find the solution to the system of equations by using either graphing or substitution.
Minchanka [31]

Answer: The answer is (-7,12)

Step-by-step explanation:

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3 years ago
Find the midpoint of the segment with the following endpoints. (7,-6) and (4, -10)​
Firlakuza [10]

Answer:

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Step-by-step explanation:

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(-6 + -10)/2 = -8

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3 years ago
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