1.)
3,6,12
a=3 and r=6/3, 12/6 =2
r=2
a•r ^n-1
3(2)^n-1
2.) horizontal translation right 5 units
Answer:
The probability of rolling a number that is even and a multiple of 3 is
Step-by-step explanation:
The total possible outcomes of cube = { 1, 2, 3 , 4 , 5 , 6}
Now, let E: Event of getting an even number and a multiple of 3
So, out of all the outcomes, {6) is the ONLY possible favorable outcome.
or,
Hence, the probability of rolling a number that is even and a multiple of 3 is
Let x = cups of 11% wheat, and y = cups of 63% wheat
He wants 12 cups in total, so we need:
x + y = 12
These 12 cups need to have 50% wheat, which means we are looking at 12*.5 = 6 cups of wheat in total, so our second equation is:
.11x + .63y = 6
We have two equations and two variables. So we can solve by using any means you want. I used substitution:
x = 12 - y
.11(12-y) + .63y = 6
1.32 -.11y + .63y = 6
.52y = 4.68
y = 9
Which means x = 3
Thus, 3 cups of 11% and 9 cups of 63%.
Answer:
the density of copper is 90.03g/cm³
Step-by-step explanation:
This problem bothers on the density of a substance, this case for a copper material
Given data
Mass of copper m = 1355g
Volume of copper block v= l*b*h
10*5*3=150cm³
We know that the density
ρ= mass/volume
ρ= 1355/150
ρ= 90.03g/cm²
The density of a substance is defined as the mass of the substance per unit volume
Slope = 1/2 y-intercept = 5/3 so y=1/2x+5/3