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
Answer:
BEANSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
Step-by-step explanation:
I will help you on two conditions: 1) that you never again call yourself "stupid," and that you ask no more than 1 or 2 questions per post.
I'll focus on #5. Recall that distance = rate times time: d = r*t.
You want distance and are given rate and time: rate 1.8 km/min; time 48 min.
I see you write "distance" next to "1.8 km;" that is not correct, because
the problem states that "the rate is 1.8 km per minute." 1.8 km is a distance; 1.8 km / min is not (it's a rate).
So, again, to find the distance traveled, mult. the rate by the elapsed time:
distance = (1.8 km/min)(48 min) = 86.4 km, or about 54 miles.
Answer:
343x^6y^3z^3
Step-by-step explanation:
One of the rules of exponents demands:
where a, b, c and m are coefficients.
Furthermore, you use the following rule for exponents of variables that already have an exponent:
Thus, you can apply this rules in the following way:
hence, the answer is 343x^6y^3z^3
Answer:
Tuesday A (40) B(12)
A(15 feet )B(3,2,1)
Step-by-step explanation:
