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Over [174]
4 years ago
7

Question 13. thank You so much

Mathematics
1 answer:
Cloud [144]4 years ago
4 0
First thing we need is the volume of the fish tank. We simply multiply the three dimensions to get

V = L*W*H
V = 2.5*1*1.5
V = 3.75

The fish tank can hold 3.75 cubic feet of water if its completely full

-------------------------

We are told that "one cubic foot of water weighs about 62.4 pounds". 

So we have this ratio
1 cubic foot of water: 62.4 pounds

Multiply both sides of that ratio by 3.75 which was the volume of the fishtank

1 cubic foot of water: 62.4 pounds
3.75*1 cubic foot of water: 3.75*62.4 pounds
3.75 cubic feet of water: 234 pounds

The fishtank can hold 234 pounds of water

note: this is assuming that the walls are strong enough to withstand the pressure/weight of water without cracking or breaking

Answer: 234 pounds

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Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros 2+i, 2
mylen [45]
<span>x^3 - 6x^2 + 13x - 10 We have been given the roots 2+i and 2, so two of the factors in the desired polynomial is (x - 2) = 0 (x - 2 -i ) = 0 Let's create a third root by negating the sign of the imaginary component to create the complex conjugate of the known complex root. (x - 2 + i) = 0 Now multiple (x - 2 - i) and (x - 2 + i) (x - 2 - i) (x - 2 + i) x^2 - 2x - xi -2x +4 +2i xi -2i - (-1) x^2 -4x +4 + 1 x^2 -4x + 5 And we've cancelled the imaginary term. Let's multiply this quadratic equation by the remaining factor. x^2 -4x + 5 x - 2 x^3 - 4x^2 + 5x -2x^2 +8x -10 = x^3 -6x^2 + 13x - 10 So the desired polynomial is x^3 - 6x^2 + 13x - 10</span>
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3 years ago
ANALYZE A PROBLEM Describe the x-values for which (a) f is increasing (b) f is decreasing, (c) f (x) &gt; 0 and (d) f (x) &lt; 0
Karolina [17]

The analysis of the graph, that has x-intercepts of (0, 2), and (0, 5), we get;

a. The function increases when x > 4

b. The function decreases when x < 4

c. The function is greater than zero when x < 3, and x > 5

d. The function is less than zero when 3 < x < 5

<h3>What is a point where a function is increasing?</h3>

The location of a point where a function is increasing is where the slope of the function is larger than zero.

The description of the graph of the function are as follows;

The shape of the function  = Concave upwards

The coordinates of the vertex of the function = (4, -5)

The region where the function is decreasing is from -∞ to 4

The region where the function is decreasing is therefore; x < 4

At the vertex, (4, -5), the slope of the function is zero, therefore;

Therefore, the function is increasing where x > 4

The x-intercepts are at point (0, 3) and (0, 5)

Therefore, the function is greater than zero when x < 3, and when x > 5

The function is less than zero in the range 3 < x < 5

Learn more about the graph of functions here:

brainly.com/question/16924356

#SPJ1

7 0
2 years ago
- Will mark brainliest.
Nostrana [21]
I hope that my answer is 100 percent correct I think the answer is b
3 0
3 years ago
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The perimeter of a square shaped garden is (16x+20) feet. Write an expression to represent the length of one side of the garden.
expeople1 [14]
4x+5 feet

A square has 4 sides, and all of them are the same size. Because of this, you divide the whole expression by 4, and you’re left with 4x+5.

16x/4=4x
20/4=5
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3 years ago
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choose the equation of a line that is perpendicular to the y axis and passes through the point (5,-2)​
kondaur [170]

Answer:

y = -2

Step-by-step explanation:

The line that is perpendicular to y-axis will be a horizontal line so it's slope is 0 => y = 0x + b or y = b

Using (5,-2) => -2 = b => b = -2

then y = -2

3 0
2 years ago
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