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Assoli18 [71]
3 years ago
5

A 1 ​ =7 and a_n=a_{n-1}+4a n ​ =a n−1 ​ +4

Mathematics
1 answer:
user100 [1]3 years ago
3 0

Answer:

dhhshdhhdjejxj

Step-by-step explanation:

potanginaaaa

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Packaging By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting fl
Vikki [24]

Answer:

Height: 3/2 inches

Length:  12 inches

Width: 4 inches

Step-by-step explanation:

Let x is the side length of the square

The height of the box by cutting squares off :x

  • The new length of the cardboard = 15 -2x (because we cut from 4 corners)
  • The new width of the cardboard = 7 -2x (because we cut from 4 corners)

The new volume of it is:

V = (15 -2x) (7 -2x) x

<=> V = 4x^3 -44x^2 +105x

To maximum volume, we use the first derivative of the volume

\dfrac{dV}{dx} = 0

<=> 12x^2-88x+105=0

<=> \left(2x-3\right)\left(6x-35\right) = 0

<=> 2x -3 = 0 or 6x -35 = 0

<=> x = 3/2 or x = 35/6

To determine which value of x gives a maximum, we evaluate

\dfrac{d^2V}{dx^2} = 24x -88

  • If  x = 3/2, we have:

\dfrac{d^2V}{dx^2}= 24(3/2) -88  = -52

  • If x = 35/6, we have:

\dfrac{d^2V}{dx^2} = 24(35/6) -88 = 52

We choose x = 3/2 to have the maximum volume because the value of x that gives a negative value is maximum.

So the dimensions (in inches) of the box is:

Height: 3/2 inches

Length: 15-2(3/2) = 12 inches

Width: 7 - 2(3/2) = 4 inches

5 0
3 years ago
(7•8) + 1/2 (3•3)<br> 1/2(7•8)+1/2(3•3)<br> (7•8)+(3•3)<br> 1/2(7•8)+(3•3)
AfilCa [17]

Answer:4.5 for triangle + 56= 60.5 squuare units

Step-by-step explanation:

8 0
2 years ago
A semicircular archway is built in front of a garden using 8 congruent granite tiles, as shown in the diagram. Find the area of
crimeas [40]
So there's 8 tiles.
Radius from archway to the outer edge would be : 7 +1 = 8ft

You can use this formula to count the area of semi circle : π r^2/2

A = 3.14 x 8ft^2 = 100.48 ft ^2
A = 3.14 x 7ft^2=  76.92  ft^2

100.48 - 76.92 = 23.55 ft^2

Then you have to divide it with the total tiles 
23.55/8 = 2.94 ft^2 per tile >> (rounded to nearest tenth)

hope this helps
5 0
3 years ago
What’s the answer to the math problem? (3x+2)(2x2+x+3
sergey [27]

{6x}^{3}  +  {7x}^{2}  + 11x + 6
factor out the function
8 0
3 years ago
5 biscuits cost 40p altogether how much do 3 biscuits cost
STALIN [3.7K]
If 5 biscuits cost 40p

1 biscuit would cost (40p divided by 5) 8p

8p multiplied by 3 (to get 3 biscuits) would cost 24p

3 biscuits cost 24p
7 0
3 years ago
Read 2 more answers
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