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makvit [3.9K]
3 years ago
15

(6t^4-t+1) - (6t^3-4t)

Mathematics
1 answer:
goldenfox [79]3 years ago
5 0

Answer:

= 6 {t}^{4}   - 6 {t}^{3}  + 3t + 1

Step-by-step explanation:

6 {t}^{4}  - t + 1 - 6 {t}^{3}  + 4t \\  = 6 {t}^{4}   - 6 {t}^{3}  + 3t + 1

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A container built for transatlantic shipping is constructed in the shape of a right rectangular prism. Its dimensions are 7.5 ft
Yuri [45]

Considering the definition of right rectangular prism and its volume,  the total weight of the contents is 38.81 pounds.

<h3>Right rectangular prism</h3>

A right rectangular prism (or cuboid) is a polyhedron whose surface is formed by two equal and parallel rectangles called bases and by four lateral faces that are also parallel rectangles and equal two to two.

<h3>Volume of right rectangular prism</h3>

To calculate the volume of the rectangular prism, it is necessary to find the product of its dimensions, or of the three edges that converge at a certain vertex.

That is, to calculate the volume of a rectangular prism, multiply its 3 dimensions: length×width×height.

<h3>Volume of the container </h3>

In this case, you know that:

  • the dimensions of the container built are 7.5 ft by 11.5 ft by 3 ft.
  • the container is entirely full and, on average, its contents weigh 0.15 pounds per cubic foot.

So, the volume of the container is calculated as:

7.5 ft× 11.5 ft× 3 ft= <u><em>258.75 ft³</em></u>

Then, the total weight of the contents is calculated as:

258.75 ft³×  0.15 pounds per cubic foot= <u><em>38.8125 pounds≅ 38.81 pounds</em></u>

Finally, the total weight of the contents is 38.81 pounds.

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8 0
2 years ago
Help me plz this is hard
cricket20 [7]

you first use distributive property for the multiplication

[(2*4x)-(2*11)]+9=19

8x-22+9=19

Then, you need to leave the variable alone moving all the other numbers with the opposite operation (addition to substraction, substraction to addition, multiplication to division, division to multiplication)

8x=19+22-9

8x=(19+22)-9

8x=41-9

8x=32

Then as 8 and x are multiplying you pass it dividing

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x=4

3 0
3 years ago
For the function f(x) = x + 9, find (f o f-1)(5) A. 14 B. 5 C. -5 D. 25
Alex Ar [27]
F-1:
y=x+9
y-9=x
x-9=f-1
f-1(14)=14-9=5 f-1(5)=5-9=-4  f-1(-5)=-5-9=-14 f-1(25)=25-9=16
f(14)=14+9=24 f(5)=5+9=14 f(-5)=9-5=4 f(25)=25+9=34
5 0
3 years ago
Emily worked 4/5 of her normal 40 hr week if she makes 18 million per hour how much money did she earn for the week
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Answer:

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Step-by-step explanation:

well, 4/5 of 40 hours is 32 hours. so you multiply 32 hours a week by 18 million per hour you get 576 million dollars that week.

6 0
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