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Papessa [141]
3 years ago
7

The answer please...!!!

Mathematics
1 answer:
tatiyna3 years ago
5 0

Answer:

Answer is B.

Step-by-step explanation:

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The world population in 2013 was about 7.125 billion. In 2003, it was about 6.357 billion. Which number represents the increase
Makovka662 [10]

Answer:

D.

7.68 × 108

Step-by-step explanation:

World population in 2013 was about 7.125 billion

In 2003 , it was about 6.357 billion

Increase = 2013 population- 2003 population

That’s 7.125 billion - 6.357 billion = 0.768 billion

A billion has 9 zeros. When you move The point one place to the right , it reduces the number of zeros by one. you now have

7.68 x 10^8

5 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
Alvin is 11 years younger than Elga. The sum of their ages is 43. What is elgas age
Neporo4naja [7]

Answer:

16

Step-by-step explanation:

Lets assume x is Elgas' age

And y is Alvins age

we know that alvin is 11 years younger than Elga which means,

x=y+11

and the sum of their age is 43

x+y=43

solve it and you get 16

5 0
3 years ago
David wants to pack apples and bananas in his lunch. He has room for 16 fruit. He wants to pack three times as many apples as ba
S_A_V [24]

Answer:

David should pack 12 apples and 4 bananas

7 0
3 years ago
Alfredo tiene 36 cromos más que Iván, y si comprará 10 más , tendría el triple . ¿Cuantos cromos tiene cada uno?
ololo11 [35]

Respuesta:

Alfredo = 59 pegatinas

Ivan = 23 pegatinas

Explicación paso a paso:

Dejar :

Pegatinas de Alfred = a

Pegatinas de Ivan = b

a = b + 36 - - - (1)

a + 10 = 3b- - - (11)

De 1)

a = b + 36

Ponga a = b + 36 en (11)

b + 36 + 10 = 3b

b + 46 = 3b

46 = 3b - b

46 = 2b

b = 23

a = b + 36

a = 23 + 36

a = 59

Alfredo = 59 pegatinas

Ivan = 23 pegatinas

3 0
3 years ago
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