Answer: vector equation r = (7+3t)i + (4+2t)j + (5 - 5t)k
parametric equations: x = 7 + 3t; y = 4 + 2t; z = 5 - 5t
Step-by-step explanation: The vector equation is a line of the form:
r = 
+ t.v
where
is the position vector;
v is the vector;
For point (7,4,5):
= 7i + 4j + 5k
Then, the equation is:
r = 7i + 4j + 5k + t(3i + 2j - k)
<u><em>r = (7 + 3t)</em></u><u><em>i</em></u><u><em> + (4 + 2t)</em></u><u><em>j </em></u><u><em>+ (5 - 5t)</em></u><u><em>k</em></u>
The parametric equations of the line are of the form:
x = 
+ at
y = 
+ bt
z = 
+ ct
So, the parametric equations are:
<em><u>x = 7 + 3t</u></em>
<em><u>y = 4 + 2t</u></em>
<em><u>z = 5 - 5t</u></em>
Just substitute 32 for p in the equation
3(32)+2=m
96+2=m
M=98
Answer:4.265
Step-by-step explanation:
Can it be decimal?
Answer:
Sample: few thousand adults
Population: all the adults
Step-by-step explanation:
A sample is a subset of the population, selected randomly.
In this case:
The sample consist of the few thousand adults selected to determine the opinions about the National polls.
The population consist of all the adults belonging to the said nation.
Consider an example about the new President election.
To determine which of the two candidates (say <em>A</em> and <em>B</em>) has a higher probability of winning the President election, the election society took a random sample of voters and asked who they think will be a better president.
The sample selected will be large enough, probably 10% of the population of all voters.
From this study it can be estimated which candidate has the higher chance of winning.
Answer:
3
Step-by-step explanation:
f(x)=a*b^x - is a formula of exponential function
As we know the point (x=0; y=3) lies at the function's graph.
So we have to put in formula f(x)=a*b^x x=0 f(x)=y=3
3=a*b^0 (b^0=1) => 3=a*1 => 3=a
