1. You must use the formula for calculate the volume of a rectangular prism, which is:
V=(h)(l)(w)
V: It is the volumen of the rectangular prism (V=1152 inches³).
h: It is the height of the rectangular prism (h=18-w).
l:It is the lenght of the rectangular prism (l=2w+4).
2. When you substitute these calues into the formula, you obtain:
V=(h)(l)(w)
1152=(18-w)(2w+4)(w)
(18-w)(2w+4)(w)-1152=0
3. Then, you should mutiply them:
36w²-2w³+72w-4w²-1152=0
32w²-2w³+72w-1152=0
4. When you factor, you obtain:
2(w-16)(w-6)(w+6)
w1=16
w2=6
w3=-6
5. The problem says that the height is greater than the width, therefore, the widht is:
w=6 inches
6. The length is:
l=2w+4
l=2(6)+4
l=16 inches
7. And the height is:
h=18-w
h=18-6
h=12 inches
What are the dimensions of the bag?
The dimensions of the bag are:
l=16 inches
h=12 inches
w=6 inches
What are the next three terms in the sequence 5, 14, 23, 32, ...? 43, 54, 65 45, 54, 63 41, 50, 59 47, 56, 65
nikitadnepr [17]
Take a careful look at 5, 14, 23, 32. Each new term is equal to the previous term PLUS 9. Thus, 9 is the "common difference."
Next 3 terms?
32 plus 9 is 41
41 plus 9 is 50
50 plus 9 is 59
59 plus 9 is 68.
and so on
So the "next 3 terms in the seq. 5, 14, 23, 32 are 41, 50, 59.
Answer:
theoretical probability
Step-by-step explanation:
This is theoretical probability. The 7 pieces of paper each bear one number from {1, 2, ... , 6, 7}. There is only one piece of paper marked 7. So the probability of drawing a 2 is 1/7.
35.1 is the answer to this question
