Answer:
64
Step-by-step explanation:
2 x 2=4
4x 2= 8
8 x 2= 16
16 x 2=32
32 x 2= 64
Answer:
to increase an organisms chance of survival
Answer:
32.63 F
Step-by-step explanation:
The function:
![s = 21.9 \; \sqrt{ 5 t + 2457 }](https://tex.z-dn.net/?f=s%20%3D%2021.9%20%5C%3B%20%5Csqrt%7B%205%20t%20%2B%202457%20%7D)
represents sound travels s at feet per second, where t is the temperature at Fahrenheit degrees.
We know that sound traveled at a rate of 1121 ft/sec. To find the temperature we need to replace with s value and isolate t for the above function.
![1121 = 21.9 \; \sqrt{ 5 t + 2457 }](https://tex.z-dn.net/?f=1121%20%3D%2021.9%20%5C%3B%20%5Csqrt%7B%205%20t%20%2B%202457%20%7D)
![\frac{1121}{21.9} = \sqrt{ 5 t + 2457 }](https://tex.z-dn.net/?f=%5Cfrac%7B1121%7D%7B21.9%7D%20%3D%20%5Csqrt%7B%205%20t%20%2B%202457%20%7D)
![51.19^2 = 5 t + 2457](https://tex.z-dn.net/?f=51.19%5E2%20%3D%205%20t%20%2B%202457)
![2620.13 - 2457 = 5 t](https://tex.z-dn.net/?f=2620.13%20-%202457%20%3D%205%20t)
![\frac{163.13}{5} = t](https://tex.z-dn.net/?f=%5Cfrac%7B163.13%7D%7B5%7D%20%3D%20t)
![32.63 \; F= t](https://tex.z-dn.net/?f=32.63%20%5C%3B%20F%3D%20t)
Answer:
3.5 * 10^-12.
Step-by-step explanation:
(7 * 10^-5 ) * (5 * 10^-8)
= 35 * 10^-13
= 3.5 * 10^-12.
Note the first number must be between 1 and 10.
Answer with Step-by-step explanation:
We are given that V be a vector space, ![v,u\in V](https://tex.z-dn.net/?f=v%2Cu%5Cin%20V)
![T_1:V\rightarrow V](https://tex.z-dn.net/?f=T_1%3AV%5Crightarrow%20V)
![T_2:V\rightarrow V](https://tex.z-dn.net/?f=T_2%3AV%5Crightarrow%20V)
be linear transformation such that
![T_1(v)=3v+2u](https://tex.z-dn.net/?f=T_1%28v%29%3D3v%2B2u)
![T_1(u)=-7v+6u](https://tex.z-dn.net/?f=T_1%28u%29%3D-7v%2B6u)
![T_2(v)=3v-5u](https://tex.z-dn.net/?f=T_2%28v%29%3D3v-5u)
![T_2(u)=7v-2u](https://tex.z-dn.net/?f=T_2%28u%29%3D7v-2u)
We have to find the images of v and u under the composite of
and ![T_2](https://tex.z-dn.net/?f=T_2)
![T_2T_1(u)=T_2(T_1(u)=T_2(-7v+6u)=-7T_2(v)+6T_2(u)](https://tex.z-dn.net/?f=T_2T_1%28u%29%3DT_2%28T_1%28u%29%3DT_2%28-7v%2B6u%29%3D-7T_2%28v%29%2B6T_2%28u%29)
![T_2T_1(u)=-7(3v-5u)+6(7v-2u)=-21v+35u+42v-12u=21v+23u](https://tex.z-dn.net/?f=T_2T_1%28u%29%3D-7%283v-5u%29%2B6%287v-2u%29%3D-21v%2B35u%2B42v-12u%3D21v%2B23u)
![T_2T_1(u)=21v+23u](https://tex.z-dn.net/?f=T_2T_1%28u%29%3D21v%2B23u)
![T_2T_1(v)=T_2(T_1(v))=T_2(3v+2u)=3T_2(v)+2T_2(u)](https://tex.z-dn.net/?f=T_2T_1%28v%29%3DT_2%28T_1%28v%29%29%3DT_2%283v%2B2u%29%3D3T_2%28v%29%2B2T_2%28u%29)
![T_2T_1(v)=3(3v-5u)+2(7v-2u)](https://tex.z-dn.net/?f=T_2T_1%28v%29%3D3%283v-5u%29%2B2%287v-2u%29)
![T_2T_1(v)=9v-15u+14v-4u](https://tex.z-dn.net/?f=T_2T_1%28v%29%3D9v-15u%2B14v-4u)
![T_2T_1(v)=23v-19u](https://tex.z-dn.net/?f=T_2T_1%28v%29%3D23v-19u)