Answer:
3(9e + 8)
Step-by-step explanation:
the highest common factor is 3 so factor it out.
Answer:
Part a) 
Part b) 
Step-by-step explanation:
Part a) Write an equation for T (d)
Let
d ----> the number of days
T ---> the time in minutes of the treadmill
we know that
The linear equation in slope intercept form is equal to
where
m is the slope or unit rate
b is the y-intercept or initial value
In this problem we have
The slope or unit rate is
The y-intercept or initial value is
substitute
Part b) Find T (6), the minutes he will spend on the treadmill on day 6
For d=6
substitute in the equation and solve for T
Answer:
add 4 on both sides
Step-by-step explanation:
Answer:LetAbe the event that the person is taking the drug. We are told thatP(A) = 0.05.LetBbe the event that the person has migraines. We are told thatP(B) = 0.1.Further, we are told thatP(B|A) = 0.3. Using the rules for conditional probability,P(A|B) =P(A∩B)P(B)=P(B|A)P(A)P(B)=0.3·0.050.1=0.15.The probability that a migraine sufferer takes the drug is 15%.
Step-by-step explanation:
Answer:
<h2><em>
5i+14j-7k</em></h2>
Step-by-step explanation:
Given the vectors u = (4,7,-3) and v=(2,-7,5), both vectors are 3-dimensional in nature and can also be rewritten as;
u = 4i+7j-3k and v = 2i-7j+5k
To get 3u-v, we will substitute the given vectors into the expression;
3u-v = 3(4i+7j-3k) - (2i-7j+5k)
open the parenthesis
3u-v = 12i+21j-9k - 2i + 7j - 5k
collect like terms
3u-v = (12i - 2i) + (21j + 7j) (-9k-5k)
3u - v = 10i+28j-14k
To simplify the answer, we will divide through by 2
3u - v = 10i/2+28j/2-14k/2
<em>3u - v = 5i+14j-7k</em>
<em>Hence the simplified form of the expression is 5i+14j-7k</em>
