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Damm [24]
3 years ago
8

PLEASE HELP ME OUT PLEASE PLEASE IT WOULD BE HELPFUL THANK YOU

Mathematics
1 answer:
weeeeeb [17]3 years ago
8 0

Answer:

D

Step-by-step explanation:

Starts with 2

2 x 2 = 4

4 x 2 = 8

8 x 2 = 16

and so on

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Thomas needs to buy a cardboard sheet that will allow him to make his 224 in 3 box. To help construct the box, he decided to cut
Slav-nsk [51]

Answer:

Part 1; The volume of the box Thomas wants to make is 224 = 2·w² + 12·w

Part 2; The zeros for the equation of the function, are w = -14, or w = 8

Part 3

The width of the box is 8 inch

The length of the box, is 14 inches

The height of the box, is given as 2 inches

Part 4

Please find attached the graph of the function

Step-by-step explanation:

Part 1

The volume of the box Thomas wants to make, V = 224 in.³

The dimensions he cuts out from the length and width = 2 in² each

The length of the box = 6 inches + The width of the box

Let <em>l</em> represent the length of the box and let <em>w</em> represent the width of the box, we have;

l = 6 + w

The height of the box, h = The length of the cut out square = 2 inches

The volume of the box, V = Length, l × Width, w × Height, h

∴ V = l × w × h

l = 6 + w, h = 2

∴ V = (6 + w) × w × 2

V = 2·w² + 12·w,

The equation of the volume of the box, V = 2·w² + 12·w, where, V = 224

∴ 224 = 2·w² + 12·w

Part 2

The zeros of the equation for the volume of the box, V = 2·w² + 12·w, where, V = 224 are found as follows;

V = 224 = 2·w² + 12·w

∴ 2·w² + 12·w - 224 = 0

Dividing by 2 gives;

(2·w² + 12·w - 224)/2 = w² + 6·w - 112 = 0

∴ (w + 14) × (w - 8) = 0

The zeros for the equation of the function, are w = -14, or w = 8

Part 3

We reject the value, w = -14, therefore, the width of the box, w = 8 inch

The length of the box, l = 6 + w

∴ l = 6 + 8 = 14

The length of the box, l = 8 inches

The height of the box, <em>h</em>, is given as h = 2 inches

Part 4

The graph of the function created with MS Excel is attached

4 0
3 years ago
Please help me with the questions below
iren2701 [21]

Answer:

2) 3/4 of the girls did not have 1 piece bathing suits

3) 4/6 were at the kiddie pool

4) 1/3 was boys

sorry if this was wrong

6 0
2 years ago
Read 2 more answers
In a school, the ratio of soccer players to volleyball players is 4 : 1.
VLD [36.1K]
4:1 means for every four soccer player there is 1 volleyball player

that means there are four times the number of soccer players than volleyball players
7 0
3 years ago
Jason eats 10 ounces of candy in 5 days. How many pounds does he eat per day?
Anna007 [38]

Answer:

He eats 2 oz of candy every day.

Step-by-step explanation:

10oz divided by 5d equals 2 oz per day.

3 0
3 years ago
Read 2 more answers
Whats the normal arm span for these heights? : 4'10,4'11,5'0,5'4,5'5,5,'7,5'8,5'9,5'10,5'11,6'0
Svetllana [295]

 

In adults, the arm span is approximately 5 cm greater than the height in adult males and 1.2 cm in adult females. To calculate the arm span for the heights given, we add 5cm to their height. The following are the results:

 

Height                   Arm Span Length (in cm)

4’10                        152.32

4’11                        154.86

5’0                          157.4

5’4                          167.56

5’5                          170.10

5’7                          175.18

5’8                          177.72

5’9                          180.26

5’10                        182.80

5’11                        185.34

6’0                          187.88

 

To add, the total measurement of the length from the furthermost part of an individual's arms to the other end when raised equidistant to the ground at shoulder height at a 90º angle is called the arm span or wingspan.

7 0
3 years ago
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