Andy and Samantha are performing an experiment in a science lab. The number of bacteria cells recorded by Andy in his experiment
is represented by the equation below, where B represents the number of bacteria, x hours after beginning the experiment.
B = 6x + 5
The number of bacteria cells recorded by Samantha in her experiment is represented by the equation below, where B represents the number of bacteria, x hours after beginning the experiment.
B = 2^x + 3
Using graphing technology, complete the statements.
After answer hours, the total number of bacteria cells for both experiments will be the same.
The total number of bacteria cells at that hour will be answer .
B = 6x + 5
The number of bacteria cells recorded by Samantha in her experiment is represented by the equation below, where B represents the number of bacteria, x hours after beginning the experiment.
B = 2^x + 3
Using graphing technology, complete the statements.
After answer hours, the total number of bacteria cells for both experiments will be the same.
The total number of bacteria cells at that hour will be answer .
2 answers:
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Answer:
The sum of the two vectors is the vector <-0.5 , 4+3.5 >
Step-by-step explanation:
The horizontal component (x) of a vector whose magnitude is b units and its direction is Ф° is b cos Ф
The vertical component (y) of a vector whose magnitude is b and its direction is Ф is b sin Ф
The vector is <b cos Ф , b sin Ф>
∵ The vector goes 7 units at an angle
- That means its magnitude is 7 and its direction is
∴ x = 7 cos( )
∴ y = 7 sin( )
∵ cos( ) =
∵ sin( ) =
- Substitute them in x and y
∴ x = (7)( )
∴ x = -3.5
∴ y = (7)( )
∴ y = 3.5
∴ The vector is <-3.5 , 3.5>
Now lets add the vectors by adding xs and ys components
∵ <3 , 4> + <-3.5 , 3.5 > = <3 + -3.5 , 4 + 3.5
>
∴ <3 , 4> + <-3.5 , 3.5> = <-0.5 , 4+3.5
>
∴ The sum of the two vectors is the vector <-0.5 , 4+3.5 >