Answer:
He completed 13 courses worth 3 credits and 5 courses worth 4 credits.
Step-by-step explanation:
Let
Number of courses worth 3 credits = x
Number of courses worth 4 credits = y
1. The student completed a total of 18 courses, then
2. The student earned a total of 59 credits, he earned 3x on 3 credits' courses and 4y on 4 credits' courses, so
3. You get the system of two equations:
From the first equation
Substitute it into the second equation:
He completed 13 courses worth 3 credits and 5 courses worth 4 credits.
Answer:
The volume of the solid generated is 52.33 cubic units.
Step-by-step explanation:
Given the triangle ABC
If the ABC triangle is rotated around AB, it would generate a circular cone. The volume of the generated cone can be computed using the following formula.
From the given triangle,
So,
Putting these values in would yield the volume of a circular cone.
Therefore, the volume of the solid generated is 52.33 cubic units.
<em>Keywords: triangle, volume, solid, right circular cone</em>
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You simplify both sides and isolate the variable.
Answer:
Part a) Option d
Part b) Option a
Step-by-step explanation:
Part a
if we look at the options given and the data available
Option a) x^4+9
Putting x= 2 we get (2^4) + 9 =25
Putting x= 3 we get (3^4) + 9 =90 but f(x) =125 so not correct option
Option b) (4^x)+9
Putting x= 2 we get (4^2) + 9 =25
Putting x= 3 we get (4^3) + 9 =73 but f(x) =125 so not correct option
Option c) x^5
Putting x= 2 we get (2^5) =32 but f(x) =25 so not correct option
Option d) 5^x
Putting x= 2 we get (5^2) =25
Putting x= 3 we get (5^3) =125
Putting x= 4 we get (5^4) =625
So Option d is correct.
Part (b)
3(2)^3x
can be solved as:
=3(2^3)^x
=3(8)^x
So, correct option is a
Answer:
2x - 5 = 5x - 2
3x = -3
x=-1
Step-by-step explanation:
Your welcome!!
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