3. find the dimension of the range and kernel of the following linear transformations, and use your answers to determine if they are onto, one-to-one, both or neither. a) f(x, y, z]t = ( x + 2z , 5y â 52 , 2x + 3y +z ]t b) f(x, y, z]t = ( x + 2, 5y â 52 , 2x + 3y +z]t c) f(x, y, z]t = [ x+y+z, x + 2y + 32 ]t d) f(x, y]t = ( x + 2y , 3y , 2x+y]t

You are responsible for designing a new city. you are inspired by pierre charles l'enfant, who laid out the streets of our nation's capital. numbered streets run north and south, and lettered streets run east and west. avenues are named after states, and they intersect the streets on a diagonal. the streets are parallel and the intersections form similar triangles. 18th st. is 454 meters long and the intersection of 18th and k st. is 207 meters from connecticut ave. if 19th st. and k st. is 385 meters from connecticut ave., what is the length of 19th st.?

Im literally having a mental breakdown

He mass of a single atom of carbon can be found by dividing the atomic mass (12.01 g) by 6.022 x 10^23. which is the mass of a single carbon atom, correctly written in scientific notation with the correct number of significant figures?