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attashe74 [19]
3 years ago
9

I need help on this the full answer

Mathematics
1 answer:
Elan Coil [88]3 years ago
5 0

Answer:

t > 3

Step-by-step explanation:

1 hour = 194

582 / 194 = 3

She needs to ride for 3 hours to burn 582 calories

She needs to ride for more than 3 hours to burn more than 582 calories

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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
Can anyone figure this out
sergey [27]

Answer:

I know it.

Step-by-step explanation:

triangles always add up to 180 degrees so add 43 and 32 together and you will get 75 so then you take 75 off 180 and you will get 105

that's your answer

A = 105

7 0
2 years ago
Please explain the steps or this equation 3+p=8
ladessa [460]

Answer:

5

Step-by-step explanation:

We can subtract both sides of the equation by 3, getting 3 + p - 3 = 8 - 3.

Then we can evaluate, getting p = 8 - 3 = 5.

3 0
3 years ago
Read 2 more answers
The midpoint of a line segment is the point halfway between its endpoints.<br><br> True or False?
horrorfan [7]
This is true. You can remember by it saying mid, as in middle.
5 0
3 years ago
Read 2 more answers
Solve for t.
Greeley [361]
The answer is 5. Hope this helps
6 0
3 years ago
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