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aalyn [17]
3 years ago
7

Plz help really need it its my final grade

Mathematics
1 answer:
Paha777 [63]3 years ago
5 0

Answer:

C

Step-by-step explanation:

48 × 19.5 = 936in

936in = 78ft

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antiseptic1488 [7]
The answer is A, -2x^4 + 6x^2 +3x +4
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Traveling with the current, a boat can travel 48 miles in 3 hours. Against the current, it takes 6 hours to go the same distance
drek231 [11]

Answer:

I

Step-by-step explanation:

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3 years ago
Please help me with these questions! Thanks
sergiy2304 [10]
You can use this rule

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A map has a scale of 1 in: 25 mi. Two cities are 175 mi apart. How far apart are they on the map?
myrzilka [38]
Ratio = 1/25
Let, the distance b/w cities on map = x

It would be: 1/25 = x/175
x = 175/25
x = 7

In short, Your Answer would be 7 in

Hope this helps!
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
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