Answer:
560 ft/min
Step-by-step explanation:
Let r represent Samantha's running rate in feet per minute. Then r-230 is her walking rate. We can use the relation ...
distance = speed × time
to write an equation for the total distance Samantha went.
20r + 15(r -230) = 16150
35r - 3450 = 16150 . . . . eliminate parentheses, collect terms
35r = 19600 . . . . . . . . . . add 3450
r = 560 . . . . . . . . . . . . . . divide by the coefficient of r
Samantha ran 560 feet per minute.
Answer:
The slope of the graph is 3/5
Step-by-step explanation:
We know that slope is nothing but rise over run. In this equation, the spacing is 3 points different vertically and 5 horizontally. If we do Rise Over Run, we will get 3/5 as our answer.
Answer:
Step-by-step explanation:
Given that,
Mass of a sample, m = 12 g
Heat absobed by the sample, Q = 96 J
It was heated from 20°C to 40°C.
We need to find the specific heat of a material. The heat absorbed by a sample is given by :
So, the specific heat of the material is 
.
Answer:
B) 1) -10 2) 4
C) 1) 16 2)-178 3)-315 4) 144
Step-by-step explanation:
input the f(x) number wherever the x is.
For example B) 1)f(x)= -1; 9- -1 -6 times -1
9 + 1 -6(-1) = 10 + 6 = 16
The easiest method of multiplying polynomials, in my experience, is the FOIL method. Honestly, I couldn't tell you what the letters stand for anymore, but I definitely remember how to do it. It's just distribution.
(6x+1)(5x+8)
Multiply the 6x by 5x and 8, then the 1 by 5x and 8:
30x²+48x+5x+8
Then combine like terms:
30x²+53x+8
