Answer:
(Véase la explicación para mayores detalles/See the explanation for further details)
Step-by-step explanation:
a) Tres al cubo (Three to cube):
![x = 3 \times 3 \times 3](https://tex.z-dn.net/?f=x%20%3D%203%20%5Ctimes%203%20%5Ctimes%203)
![x = 3^{3}](https://tex.z-dn.net/?f=x%20%3D%203%5E%7B3%7D)
![x = 27](https://tex.z-dn.net/?f=x%20%3D%2027)
b) Seis al cubo (Six to cube):
![x = 6 \times 6 \times 6](https://tex.z-dn.net/?f=x%20%3D%206%20%5Ctimes%206%20%5Ctimes%206)
![x = 6^{3}](https://tex.z-dn.net/?f=x%20%3D%206%5E%7B3%7D)
![x = 216](https://tex.z-dn.net/?f=x%20%3D%20216)
c) Cinco al cuadrado (Five squared):
![x = 5 \times 5](https://tex.z-dn.net/?f=x%20%3D%205%20%5Ctimes%205)
![x = 5^{2}](https://tex.z-dn.net/?f=x%20%3D%205%5E%7B2%7D)
![x = 25](https://tex.z-dn.net/?f=x%20%3D%2025)
d) Ocho al cuadrado (Eight squared):
![x = 8 \times 8](https://tex.z-dn.net/?f=x%20%3D%208%20%5Ctimes%208)
![x = 8^{2}](https://tex.z-dn.net/?f=x%20%3D%208%5E%7B2%7D)
![x = 64](https://tex.z-dn.net/?f=x%20%3D%2064)
e) Dos a la quinta (Two to five):
![x = 2 \times 2 \times 2 \times 2 \times 2](https://tex.z-dn.net/?f=x%20%3D%202%20%5Ctimes%202%20%5Ctimes%202%20%5Ctimes%202%20%5Ctimes%202)
![x = 2^{5}](https://tex.z-dn.net/?f=x%20%3D%202%5E%7B5%7D)
![x = 32](https://tex.z-dn.net/?f=x%20%3D%2032)
f) Diez a la cuarta (Ten to four):
![x = 10\times 10 \times 10 \times 10](https://tex.z-dn.net/?f=x%20%3D%2010%5Ctimes%2010%20%5Ctimes%2010%20%5Ctimes%2010)
![x = 10^{4}](https://tex.z-dn.net/?f=x%20%3D%2010%5E%7B4%7D)
![x = 10000](https://tex.z-dn.net/?f=x%20%3D%2010000)
Answer: (4.9x) - 3
Step-by-step explanation: the reason i didn't add an extra line thing is because the negative becomes the minus. the 4.9 is self evident
6 ft into meters would be 1.829, rounding to to nearest tenth would be 1.8
Answer:
a.![V(x)=x(10-2x)(6-2x)](https://tex.z-dn.net/?f=V%28x%29%3Dx%2810-2x%29%286-2x%29)
b.![S(x)=4(15-x^2)](https://tex.z-dn.net/?f=S%28x%29%3D4%2815-x%5E2%29)
Step-by-step explanation:
Dimensions of rectangular piece of cardboard=![10\times 6](https://tex.z-dn.net/?f=10%5Ctimes%206)
According to question
Length of box,l=10-2x
Breadth of box,b=6-2x
Height of box,h=x
a.
Volume of box=![l\times b\times h](https://tex.z-dn.net/?f=l%5Ctimes%20b%5Ctimes%20h)
Substitute the values in the formula
Volume of box=![x(10-2x)(6-2x)](https://tex.z-dn.net/?f=x%2810-2x%29%286-2x%29)
![V(x)=x(10-2x)(6-2x)](https://tex.z-dn.net/?f=V%28x%29%3Dx%2810-2x%29%286-2x%29)
b.Surface area of box=![2(b+l)h+lb](https://tex.z-dn.net/?f=2%28b%2Bl%29h%2Blb)
Because the box has no lid
Substitute the values in the formula
Surface area of box=![2(10-2x+6-2x)x+(10-2x)(6-2x)](https://tex.z-dn.net/?f=2%2810-2x%2B6-2x%29x%2B%2810-2x%29%286-2x%29)
Surface area of box=![2(16-4x)x+60-20x-12x+4x^2](https://tex.z-dn.net/?f=2%2816-4x%29x%2B60-20x-12x%2B4x%5E2)
Surface area of box=![32x-8x^2+60-32x+4x^2](https://tex.z-dn.net/?f=32x-8x%5E2%2B60-32x%2B4x%5E2)
Surface area of box=![60-4x^2=4(15-x^2)](https://tex.z-dn.net/?f=60-4x%5E2%3D4%2815-x%5E2%29)
Surface area of box, S(x)=![4(15-x^2)](https://tex.z-dn.net/?f=4%2815-x%5E2%29)