4w+5+33=90
4w=90-5-33
4w=52
w=13
Answer:
a. V = (20-x) 
b . 1185.185
Step-by-step explanation:
Given that:
- The height: 20 - x (in )
- Let x be the length of a side of the base of the box (x>0)
a. Write a polynomial function in factored form modeling the volume V of the box.
As we know that, this is a rectangular box has a square base so the Volume of it is:
V = h *
<=> V = (20-x)
b. What is the maximum possible volume of the box?
To maximum the volume of it, we need to use first derivative of the volume.
<=> dV / Dx = -3 + 40x
Let dV / Dx = 0, we have:
-3 + 40x = 0
<=> x = 40/3
=>the height h = 20/3
So the maximum possible volume of the box is:
V = 20/3 * 40/3 *40/3
= 1185.185
Answer:
The simplest way to teach middle school math scale drawings is to use real pictures to relate to each other to explain the concept. For example, scaling a red ball of 1" to a ball of 2" and so on. This will show how the ball increases by size by adding 1" each time.
Answer:
Step-by-step explanation:
Answer:
Answer/Step-by-step explanation: A. If a scatter plot shows an upward trend, it means there is a positive correlation between the x and y variables. That is, as one variable increases, the other also increases. The value of correlation coefficient, r, would be a positive value. Also, when the data points plotted are fairly far apart or moderately spread out along the line if best fit, the value of the correlation coefficient would be far from -1 but also far from 1. Therefore, if a computer software gives us a correlation coefficient of, r = 0.51, it is most likely an accurate value for the given data because it shows a positive correlation with data points moderately spread out and farther apart along the line of best fit. B. A scenario that can be written as a casual relationship for pumpkins picked can be: Number of pumpkins picked versus the amount of nutrient given per kg of fertilizer applied.
Step-b-step explanation:
