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topjm [15]
2 years ago
11

On a rectangular plece of cardboard with perimeter 16 inches, three parallel and equally spaced creases are made. (See Figure 1.

) The cardboard is then folded
along the creases to make a rectangular box with open ends. (See Figure 2.) Letting x represent the distance (in inches) between the creases, use the ALEKS
graphing calculator to find the value of x that maximizes the volume enclosed by this box. Then give the maximum volume. Round your responses to two
decimal places.
Mathematics
1 answer:
Nuetrik [128]2 years ago
5 0
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Martin is considering the expressions 1/2(7x + 48) and -[1/2x - 3]+ 4(x + 5). He wants to know if one expression is greater than
pentagon [3]
Part A
 The first thing we must do for this case is to rewrite both expressions.
 We have then:
 1/2 (7x + 48) = (7/2) x + 24
 - [1 / 2x - 3] + 4 (x + 5) = - (1/2) x + 3 + 4x + 20 = (7/2) x + 23
 Answer: 
 We note that the first expression is greater than the second for all values of x. 
 Part B:
 A new expression that is greater than both written expressions is:
 (7/2) x + 25
 For all values of x, this expression is always greater.
 Answer:
 (7/2) x + 25
5 0
4 years ago
A circus acrobat is shot out of a cannon. The equation for the acrobat's pathway can be modeled by h= -16t^2+25. How long will i
Alex_Xolod [135]
For this we almost have the following equation:
 h = -16t ^ 2 + 25

 We must match the equation to zero:
 -16t ^ 2 + 25 = 0

 From here, we clear the value of t.
 We have then:
 16t ^ 2 = 25

t ^ 2 = 25/16
 We discard the negative root because we are looking for time:
 t =  \sqrt{ \frac{25}{16} } 


 t =  \frac{5}{4}
 Answer:
 
it will take him to reach the ground about:
 
t = \frac{5}{4} seconds
5 0
3 years ago
Please help me on math and explain how to get the answer.
Lynna [10]

Answer:

x = 128

Step-by-step explanation:

ill name the empty angle y for clarification

y + 38 + 90 = 180

y + 128 = 180

y = 52

180 - y = x

180 - 52 = x

x = 128

4 0
3 years ago
Read 2 more answers
Jane eats 2/5 of a pizza. joe eats 1/7.<br> how many times more pizza has jane eaten then joe
jolli1 [7]
2/5 = 14/35
1/7 = 5/35

14/35 - 5/35 = 9/35

Answer: Jane ate 9/35 more pizza than Joe

Simply convert the fractions so that they will have the same denominator then subtract.
7 0
4 years ago
21(2-y)+12y=44 find y​
miss Akunina [59]
Answer: y= -2/9
Explanation:
21(2-y)+12y=44
42-21y+12y=44
42-9y=44
-9y=2
y=-2/9
8 0
3 years ago
Read 2 more answers
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