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Romashka [77]
3 years ago
6

Find the slope of each line. 1) ا ا ا ا ا ا ا ا

Mathematics
1 answer:
kirza4 [7]3 years ago
8 0

Answer:

1111111 is the answer

Step-by-step explanation:

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Nina has some nickels and 9 pennies in her pocket. Her friend, Maurice has twice as many nickels as Nina. Together these coins a
algol13

So Maurice would have 2N nickels  

Total number of coins is N + 2N + 9 = 3N + 9  

Each nickel is 5 pennies  

3N of nickels = 15N pennies  

-----------  

Their worth is 84 cents  

15N + 9 = 84  

15N = 75  

N = 75/15 = 5  

N = 5  


This means Nina has 5 nickels.

4 0
3 years ago
An open box is to be made out of a 12-inch by 20-inch piece of cardboard by cutting out squares of equal size from the four corn
Natali5045456 [20]

Answer:

Length = 15.14, width = 7.14 and height = 2.43  inches.

( correct to the nearest hundredth).

Step-by-step explanation:

Let the lengths of the squares cut out be x inches.

Then the width of the box will be 12 - 2x and the length will be

20 - 2x inches.

The height of the box is x inches.

Volume V = x(20-2x)(12-2x)

To find the value of x when V is a maximum we find the derivative and equate it to zero.

V = x( 240 - 64x + 4x^2)

V = 4x^3 - 64x^2 + 240x

dV/dx = 12x^2 - 128x + 240 = 0

4(3x^2 - 32x + 60) = 0

This won't factor so we use the formula:

x = [-(-32) +/- √((-32)^2 - 4*3*60)] / 6

= 8.24, 2.43.

So one of these gives a maximum Volume.

The second derivative

d^2V/dx^2 = 24x - 128

When x = 8.24,  this = 69.6 (positive) so this gives a minimum.

x = 2.43 gives a negative  value ( -49.7)  so this is the maximum

So the dimensions are:-

length = 20 - 2(2.43) = 15.14

width = 12 - 2(2.43) = 7.14

height = 2.43.

7 0
2 years ago
16e^2-88e+121<br> pls help me
Rufina [12.5K]

Step-by-step explanation:-8.8e +122

7 0
3 years ago
Subtract. (11x2+3x−9)−(2x2+2x+7)
Alexeev081 [22]

Answer:

-267

Step-by-step explanation:

this is because 11 ×2=22,22+3=25,25×-9= -225 and then the other bracket when I solved I had 42 and so -225-42 = -267

4 0
3 years ago
Which choices are solutions to the following equations x^2+8x-2=18
Olin [163]

Answer:

-4 ± 2√6

Step-by-step explanation:

Rewritten in standard quadratic form, x^2+8x-2=18 becomes x^2 + 8x - 20 = 0.

Here the quadratic coefficients are a = 1, b = 8 and c = -20 and so the discriminant is b^2 - 4ac, or 8^2 - 4(1)(-20), or 96.

Because the discriminant is positive, we know that this quadratic has two different real roots.  These roots are:

      -b ± √(b² - 4ac)

x = -------------------------

                 2a

which in this case comes out to:

       -8 ± √96          -8 ± 4√6          

x = ------------------ = ------------------- = -4 ± 2√6

             2                        2

4 0
2 years ago
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