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Rudiy27
3 years ago
10

A plane can carry a maximum cargo weight of 160,000 pounds. A company uses one of these planes to ship 2,000-pound containers. T

he total cargo weight is a function of the number of containers in the plane. What is the greatest value in the domain for this situation
Mathematics
1 answer:
Yuliya22 [10]3 years ago
8 0

Answer:

80 containers are able to be flown

Step-by-step explanation:

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7
natulia [17]

Answer:

diagonal = = 12.8 inches (to the nearest tenth of an inch)

Step-by-step explanation:

As shown in the diagram attached to this solution:

Let the Length of the rectangular board = a

Let the width = b

Let the diagonal = d

where:

a = 10 inches

b = 8 inches

d = ?

Triangle ABC in the diagram is a right-angled triangle, therefore, applying Pythagoras theorem:

(hypotenuse)² = (Adjacent)² + (Opposite)²

d² = 10² + 8²

d² = 100 + 64

d² = 164

∴ d = √(164)

d = 12.806 inches

d = 12.8 inches (to the nearest tenth of an inch)

<em>N:B Rounding off to the nearest tenth of an inch is the same as rounding off to 1 decimal place.</em>

3 0
2 years ago
What does 2⁸ equal and how did you find the answer<br>#easypoints​
Tom [10]

Answer:

It equals 256 because 2x2x2x2x2x2x2x2= 256

3 0
3 years ago
Read 2 more answers
Which statement is true about the graphs of the two lines y = –6 and x = 1/6<br>?
ivanzaharov [21]
The lines are perpendicular to each other because the graph of y = –6 is a horizontal line with a slope that is undefined, and the graph of x = 1/6 is a vertical line with a slope of 0.
The lines are perpendicular to each other because the graph of y = –6 is a vertical line with a slope that is undefined, and the graph of x =1/6 is a horizontal line with a slope of 0.
The lines are perpendicular to each other because the graph of y = –6 is a vertical line with a slope of 0, and the graph of x =1/6 is a horizontal line with a slope that is undefined.
<span> The lines are perpendicular to each other because the graph of y = –6 is a horizontal line with a slope of 0, and the graph of x =1/6 is a vertical line with a slope that is undefined. </span>
4 0
3 years ago
Derive the equation of the parabola with a focus at (−5, 5) and a directrix of y = −1. (2 points)
umka2103 [35]

Focus of the parabola is (-5,5) and directrix is y = -1.

Let's assume a point (x,y) on parabola.

According to definition of parabola, the distance between point (x,y) and focus (-5,5) would be same as the distance between the point (x,y) and directrix y = -1.

\sqrt{(x+5)^2+(y-5)^2} = \sqrt{(y+1)^2} \\\\(x+5)^2+(y-5)^2=(y+1)^2 \\\\(x+5)^2 + y^2 - 10y +25 = y^2 +2y +1 \\\\(x+5)^2 =  -y^2 +10y -25 + y^2 +2y +1 \\\\(x+5)^2 = 12y -24 \\\\12y =  (x+5)^2  +24 \\\\ y = \frac{1}{12} (x+5)^2  +2

Hence, option D is correct, i.e. f(x) = one twelfth (x + 5)2 + 2.

7 0
3 years ago
Read 2 more answers
How can you quickly determine the number of roots a polynomial will have by looking at the equation?
Goryan [66]
First, you need to get delta which is b squared minus 4ac. If delta is higher than cero, the polynomial has two solutions, if it is less, the polynomial has no real solutions and if it is the same, it has one solution.
Although that is only for second grade ecuations
7 0
3 years ago
Read 2 more answers
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