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
Say the percentage increase is 25%. If you have the whole number of 30 then you would multiply 30 by .25. You should therefore get 7.5 once both are multiplied. That means you should add 7.5 to 30, and your final answer will be 37.5.
Answer:
Private mortgage insurance, also called PMI, is a type of mortgage insurance you might be required to pay for if you have a conventional loan. i hope this helped <3
Step-by-step explanation:
Answer:
1800
Step-by-step explanation:
→ First of all we need to find the prime factorisation of the numbers.
18 = 2 × 3 × 3 or 2 × 3²
40 = 2 × 2 × 2 × 5 or 2³ × 5
75 = 3 × 5 × 5 or 5² × 3
→ Now find the number that appear twice or more and write them down
3 and 3 from 18
2, 2 and 2 from 40
5 and 5 from 75
→ Now multiply all of these numbers together
3 × 3 × 2 × 2 × 2 × 5 × 5 = 3² × 2³ × 5² = 1800
Answer:
7. n>9
8. put an open dot a 9 and draw arrows to the right
9. x≤55
10. put a close dot on 55 and draw arrow to the left
move those numbers to the right or left sideeee
