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-Dominant- [34]
3 years ago
10

Digby wants to determine how many calories are in his bag of chips. Which calorimeter should he use?

Mathematics
2 answers:
KiRa [710]3 years ago
8 0

Answer:

b. bomb calorimeter

Step-by-step explanation:

Tasya [4]3 years ago
4 0

Answer:  b

Step-by-step explanation:

right answer

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Which identity is the result of using the Pythagorean theorem to show that a triangle with side lengths
disa [49]
C I think but I’m not sure
4 0
3 years ago
An open box is to be made out of a 6-inch by 14-inch piece of cardboard by cutting out squares of equal size from the four corne
lawyer [7]

Answer:

The dimensions of the resulting box that has the largest volume is 1.3 inches x 1.3 inches

Step-by-step explanation:

Card board size is L= 14 inches and

W = 6 inches

Let x be the size of equal squares cut from 4 corners and bent into a box whose size is now;

L = 14 − 2x , W = 6 −2x and h = x inches.

Volume of the box is given as;

V = (14 −2x)(6−2x)x

V =(4x² − 40x + 84)x

= 4x³ − 40x² + 84x.

Now, for the maximum value,

dV/dx =0

Thus,

dv/dx = 12x² - 80x + 84 = 0

Using quadratic formula

x = [-(-80) ± √(-80²) - 4(12 x 84)]/(2 x 12)

x = [80 ± √(6400 - 4032)]/24

x = (80 + 48.66)/24 or (80-48.66)/24

x = 5.36 or 1.31

Looking at the two values, 1.31 would be more appropriate because if we use 5.36,we will get a negative value of the width (W).

Thus, x = 1.31 inches

Let us use the Second Derivative Test to verify that V has a local maximum at x = 1.31.

Thus;

d²v/dx² = 24x - 80 = 24(1.31) - 80 = -48.56

This is less than 0 and therefore, the volume of the box is maximized when a 1.31 inch by 1.3 inch square is cut from the corners of the cardboard sheet.

3 0
3 years ago
Laura is planning a party for her son. She has $50 dollars remaining in her budget and wants to provide one party favor per pers
enyata [817]

Answer:

The system of inequalities that represents this situation is:

x+y≥10

6x+4y≤50

Step-by-step explanation:

As the statement says that Laura wants to provide one party favor per person to at least 10 guests, the first inequality would indicate that the number of stuffed animals plus the number of toy trucks should be equal or greater than 10:

x+y≥10

Also, the statement indicates that miniature stuffed animals cost $6.00 each and the toy trucks cost $4.00 each and that Laura has $50. From this, you would have an inequality that indicates that 6 for the number of miniature stuffed animals and 4 for the number of toy trucks would be equal or less than 50:

6x+4y≤50

The answer is that the system of inequalities that represents this situation is:

x+y≥10

6x+4y≤50

4 0
3 years ago
Solve this equation for A: A ÷ 2 = 4
Natali5045456 [20]
The answer to the equation is 8
5 0
3 years ago
Read 2 more answers
What is the volume of the pyramid? <br> A. 60 ft^3<br> B. 240 ft^3<br> C. 106.7 ft^3<br> D. 80 ft^3
uranmaximum [27]

Answer:

the correct answer is

D. 80 ft^3

vol. of pyramid = (l× w × h)/3

= (6×8×5)/3

= 80 ft^3

7 0
3 years ago
Read 2 more answers
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