The volume of the pond is 48 cubic feet. Then the weight of the water in the pond will be 2,976 pounds.
Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as
V = L x W x H
Water weighs about 62 pounds per cubic foot. The pond is 6 feet long and 4 feet wide. If the water pond is 2 feet deep. Then the volume of the water pond is calculated as,
V = L x W x H
V = 6 x 2 x 4
V = 48 cubic feet
Then the weight of the water in the pond will be given as,
W = 62 x 48
W = 2,976 pounds
The volume of the pond is 48 cubic feet. Then the weight of the water in the pond will be 2,976 pounds.
More about the volume of the rectangular prism link is given below.
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I cant see all the question but this is how you find the derivative of your function using the product rule.
Here you use the extension of the product rule to 3 factors which we'll write as:-
f(x), g(x) and h(x):-
Derivative = f'(x) g(x) h(x) + f(x) g'(x) h(x) + f(x) g(x) h'(x)
(3x - 1)(x + 4)(2x - 1)
derivative = 3(x + 4)(2x - 1) + (3x + 1)(1)(2x - 1) + (3x - 1)(x + 4)(2)
= 3(x + 4)(2x - 1) + (3x + 1)(2x - 1) + 2(3x - 1)(x + 4)
Answer:
(-∞, 4)
Step-by-step explanation:
"The function f(x)= -(x+5)(x+1) is down" should be "The function f(x)= -(x+5)(x+1) has a parabolic graph that opens down."
Expanding f(x)= -(x+5)(x+1), we get f(x) = -[x^2 + 6x + 5] = -x^2 - 6x - 5.
Here the coefficients are a = -1, b = -6 and c = -5. Thus, the axis of symmetry is
-(-6)
x = ------------ = -3.
2(-1)
The maximum value of the function occurs when x = -3.
We must also find the actual max value.
It is f(-3) = -(-3)^2 - 6(-3) - 5, or 4.
The max value is 4. Thus, the range of this function is (-∞, 4)
68°
64°
17°
The measure of x in the given figure is equal to 17°
Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines.
In simple words, vertical angles are located across from one another in the corners of the "X" formed by two straight lines.
They are also called vertically opposite angles as they are situated opposite to each other.
Given is figure, where two lines intersects each other and forms angles, we need to find the measure of x, if angle 6 = 4x and angle 7 = 2x + 34
Since, the angles 6 and 7 are vertical angles,
Therefore, the angles are equal,
Therefore,
4x = 2x+34
2x = 34
x = 17
Hence, the measure of x is equal to 17°
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Answer:
17°
Step-by-step explanation: