Answer:
0,00003
Step-by-step explanation:
3×10-5
3/100000
=0,00003
Answer:
Step-by-step explanation:
total marbles=5+8+4+3=20
when he is drawing without replacing means red marble is drawn from 20 marbles.
Blue marble is drawn from 19 marbles.
when he is drawing with replacing means he draws one red marble from 20 marbles.Then he replaces it and draws blue marble from 20 marbles also.
Answer:
In 4 months the cost of both gyms will be the same.
Step-by-step explanation:
At first we need to model the function to calculate the cost of the 2 gyms.
Slope-intercept equation of linear function
where
slope of line
y-intercept
Let linear function to calculate total cost of gym be:
where
total cost of gym
cost per month (slope)
number of months
start-up fee (y-intercept)
For Gym 1
, 
For Gym 2
, 
In order to find the number of months the cost of both gyms will be the same, we need to equate both functions and solve for number of months 
So,
In 4 months the cost of both gyms will be the same.
Answer:
71.6 degrees
Step-by-step explanation:
Given the vectors
u= <8,4> v = <9.-9> (5 points)
u*v = (8, 4)*(9, -9)
u*v = 8(9)+(4)(-9)
u*v = 72 - 36
u*v = 36
|u| = √8²+4²
|u| = √64+16
|u| = √80
|v| = √9²+9²
|v| = √81+81
|v| = √162
Using the formula
u*v = ||u||v| cos theta
36 = √80(√162)cos theta
36 = √12960 cos theta
cos theta = 36/√12960
cos theta = 36/113.8
cos theta = 0.3162
theta = arccos(0.3162)
theta = 71.56 degrees
Hence the angle between the given vectors to the nearest tenth of a
degree is 71.6 degrees
Answer: 3(5x - 4)
Step-by-step explanation: You first renarange your terms. Then you distribute them. Then you combine the the like terms. Then you find the common factor by factoring by group.
