Answer:
11
Step-by-step explanation:
First subtract
19-8= Z
So solution would be
Z=11
Answer:
a. 1/2
b. 5/3
c. 0
d. undefined
Step-by-step explanation:
Answer:
The value of x that maximizes the volume enclosed by this box is 0.46 inches
The maximum volume is 3.02 cubic inches
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The volume of the open-topped box is equal to
where
substitute
Convert to expanded form
using a graphing tool
Graph the cubic equation
Remember that
The domain for x is the interval -----> (0,1)
Because
If x>1
then
the width is negative (W=2-2x)
so
The maximum is the point (0.46,3.02)
see the attached figure
therefore
The value of x that maximizes the volume enclosed by this box is 0.46 inches
The maximum volume is 3.02 cubic inches
If Fabio drinks 2 quarts of water each day, he would drink 8 cups of water in accordance with direct proportion.
<h3>What is a proportion?</h3>
A proportion can be defined as an equation which is typically used to represent (indicate) the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.
Mathematically, a direct proportion can be represented by the following equation:
y = kx
Where:
- y and x are the variables.
- k represents the constant of proportionality.
By applying direct proportion, we have:
1 quarts = 4 cups
2 quarts = X cups
Cross-multiplying, we have:
X = 4 × 2
X = 8 cups.
In conclusion, the quantity of water which Fabio drinks each day is equal to 8 cups.
Read more on direct proportion here: brainly.com/question/1266676
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Answer:
It's 4
Step-by-step explanation:
every integer is the rational number, so, a whole number 6 can be written as 6/1. 2/3 x 6 = 12/3 as simplified as 4/1 in fraction form.
