Find the volume and surface area. Round to the nearest hundredth when necessary.
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Water coming out from a fountain is modeled by the function f(x)= -x^2+5x+4 where f(x) represents the height, in feet, of the water from the fountain at different times x, in seconds. What does the average rate of change of f(x) from x=3 to x=5 represent?A. The water falls down with an average speed of 3 ft./s from three seconds to five seconds. B. The water falls down with an average speed of 5 ft./s from three seconds to five seconds. C. The water travels an average distance of 3 feet from 3 seconds to 5 seconds. D. The water travels an average distance of 5 feet from 3 seconds to 5 seconds.
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Determine the number of significant digits in the measurement of 0.00025 km
Which double-angle or half-angle identity would you use to verify that sin2x/2sin^2x=cotx
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Answer:
Step-by-step explanation:
The given function is f(x) = 32 - 6x, where b is a real number.
To understand the key aspects of the graph of this function, we can analyze its equation.
1. Slope: The coefficient of x in the equation is -6. This represents the slope of the graph. A negative slope indicates that the graph is decreasing as x increases. In this case, for every unit increase in x, the graph of f(x) decreases by 6 units.
2. Y-intercept: The constant term in the equation is 32. This represents the y-intercept, which is the point where the graph intersects the y-axis. In this case, the graph intersects the y-axis at the point (0, 32).
3. X-intercept: To find the x-intercept, we set f(x) = 0 and solve for x.
32 - 6x = 0
-6x = -32
x = 32/6 = 16/3
Therefore, the x-intercept is (16/3, 0).
4. Shape: Since the coefficient of x is negative, the graph of f(x) will be a downward-sloping line.
5. Domain and Range: The domain of f(x) is all real numbers since there are no restrictions on x. The range of f(x) is also all real numbers because the graph extends infinitely in the downward direction.
To summarize, the key aspects of the graph of f(x) = 32 - 6x are:
- A negative slope of -6, indicating a decreasing graph as x increases.
- A y-intercept at (0, 32).
- An x-intercept at (16/3, 0).
- A downward-sloping line.
- A domain and range of all real numbers.
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but then I fixated it with my steely burning gaze and it fell apart for me.
The volume of a pyramid is (1/3) (base area) (height)
Each of these pyramids has the same base area and the
same height, so ...
Volume of the lower pyramid = (1/3) (base area) (height)
Volume of the upper pyramid = (1/3) (base area) (height)
Combined volume of both pyramids = (2/3) (base area) (height) .
Now, how do the pyramids relate to the rectangular prism ?
Their base area is (length x width) of the prism, and
their height is (1/2 the height) of the prism.
From here, we'll work with the dimensions of the prism ... L, W, and H .
Combined volume of the pyramids = (2/3) (L x W) (1/2 H)
= (1/3) (L x W x H) .
Volume of the prism = (L x W x H)
The pyramids occupy 1/3 the volume of the prism.
The ratio is 1/3 .
Answer:
Answer 1/3
Step-by-step explanation:
8,9,9
1,5,8
1,1,1
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These are the numbers ur welcome
ANSWER your answer is (8) (9) (9) (5) these numbers are a total of 31 8+9+9+5=31 so if u did 1+1+1+1+5+8 it would =17 now if u did 5+8+9+8+1 would also make 31 and 5+9+9+8 would also make 31 but the question says "circle 6 numbers for a total of 31 " and nun of those have 6 numbers to make 31 5+9+8=22 so 22+1+1+1+1+8=34 let just take 3 of those 1's out and put it all together it is 31 but it only haves 5 numbers and we need 6 so it kinda makes no sence to me but i do have a strong feeling it is (8) (9) (9) (5)
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A real life situation would be miles per hour, so, for the x axis (hours) it said 1, and for the y axis (miles) it would be 60, this means in a duration of 1 hour you went 60 miles. Well, lets say you went 2 hours driving, the miles would be 120.
For 3 hours, it would be 180. The function here is y= x60!
If you have any questions ask me!
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= 0.3714
= 37.14% which is your answer.