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denis23 [38]
3 years ago
11

There are 18 fish in a pond. 9 carp, 8 koi,

Mathematics
1 answer:
svetlana [45]3 years ago
7 0

Answer:18/5

Step-by-step explanation:

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P(x) = 2x^4 - x^3 + 2x^2 - k where k is an unknown integer. P(x) divided by (x+1) has a remainder of 2. What is the value of k?
loris [4]

Answer:

k = - 3

Step-by-step explanation:

Look at the picture*

6 0
3 years ago
An open metal tank of square base has a volume of 123 m^3
snow_lady [41]

Answer:

  a) h = 123/x^2

  b) S = x^2 +492/x

  c) x ≈ 6.27

  d) S'' = 6; area is a minimum (Y)

  e) Amin ≈ 117.78 m²

Step-by-step explanation:

a) The volume is given by ...

  V = Bh

where B is the area of the base, x^2, and h is the height. Filling in the given volume, and solving for the height, we get:

  123 = x^2·h

  h = 123/x^2

__

b) The surface area is the sum of the area of the base (x^2) and the lateral area, which is the product of the height and the perimeter of the base.

S=x^2+Ph=x^2+(4x)\dfrac{123}{x^2}\\\\S=x^2+\dfrac{492}{x}

__

c) The derivative of the area with respect to x is ...

S'=2x-\dfrac{492}{x^2}

When this is zero, area is at an extreme.

0=2x -\dfrac{492}{x^2}\\\\0=x^3-246\\\\x=\sqrt[3]{246}\approx 6.26583

__

d) The second derivative is ...

S''=2+\dfrac{2\cdot 492}{x^3}=2+\dfrac{2\cdot 492}{246}=6

This is positive, so the value of x found represents a minimum of the area function.

__

e) The minimum area is ...

S=x^2+\dfrac{2\cdot 246}{x}=(246^{\frac{1}{3}})^2+2\dfrac{246}{246^{\frac{1}{3}}}=3\cdot 246^{\frac{2}{3}}\approx 117.78

The minimum area of metal used is about 117.78 m².

3 0
2 years ago
A manatee swims 1/4 mile in 3 minutes. What is its swimming speed in miles per hour?
Fynjy0 [20]

Step-by-step explanation:

I believe that the manatee can swim 5 miles per hour

5 0
3 years ago
Help me plz with this 4x-3=15
prohojiy [21]

Answer:

18/4

Step-by-step explanation:

4x -3 = 15

4x = 15+3

4x = 18

x = 18/4

7 0
3 years ago
Read 2 more answers
There are 9 apples.there are 6 fewer apples than oranges.how oranges are there
serious [3.7K]

Answer:

2

Step-by-step explanation

Either your 5, your just trying brain.ly out, or your trolling don't care either way

8 0
2 years ago
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