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Inessa [10]
3 years ago
11

A line that is parallel to the graph of y=1/2+6 with a y-intercept of(0,-2)

Mathematics
1 answer:
Elena L [17]3 years ago
5 0
1/2x-2 is one answer
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A rectangular tank that is 5324 ft cubed with a square base and open top is to be constructed of sheet steel of a given thicknes
marishachu [46]

Answer:

Side of 22 and height of 11

Step-by-step explanation:

Let s be the side of the square base and h be the height of the tank. Since the tank volume is restricted to 5324 ft cubed we have the following equation:

V = s^2h = 5324

h = 5324 / s^2

As the thickness is already defined, we can minimize the weight by minimizing the surface area of the tank

Base area with open top s^2

Side area 4sh

Total surface area A = s^2 + 4sh

We can substitute h = 5324 / s^2

A = s^2 + 4s\frac{5324}{s^2}

A = s^2 + 21296/s

To find the minimum of this function, we can take the first derivative, and set it to 0

A' = 2s - 21296/s^2 = 0

2s = 21296/s^2

s^3 = 10648

s = \sqrt[3]{10648} = 22

h = 5324 / s^2 = 5324 / 22^2 = 11

4 0
3 years ago
Graph the first six terms of a sequence where a1 = −10 and d = 3.
Neko [114]

notice the first term is -10, and the common difference is 3, so we add 3 to get the next term.

\bf \begin{array}{cccll}\stackrel{x}{n}&term&\stackrel{y}{value}\\\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\1&a_1&-10\\\\2&a_2&\stackrel{-10+3}{-7}\\\\3&a_3&\stackrel{-7+3}{-4}\\\\4&a_4&\stackrel{-4+3}{-1}\\\\5&a_5&\stackrel{-1+3}{2}\\\\6&a_6&\stackrel{2+3}{5}\end{array}

check the picture below.

8 0
3 years ago
12, 15, 10, 15, 11, 12, 15.
malfutka [58]

Answer:

1. ≈ 12.85

2. 15

3. -38

4. 41 miles

5. 88

Step-by-step explanation:

3 0
3 years ago
If f(x)=3x-1 and g(x)=x+2 find (f+g)(x)
galben [10]
(f+g)(x)=3x-1+x+2=4x+1
5 0
3 years ago
which of the following us an equation of the line whose graph in the coordinate plane passes through the points (-2, 0) and (3,
son4ous [18]

Answer:

x-5y+2=0

Step-by-step explanation:

HOPE THIS HELPS YOU.

5 0
2 years ago
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