Answer:
Train A = 128
Train B = 68
Step-by-step explanation:
We can set up a system of equations for this problem
Let A = # of tons of Train A
Let B = # of tons of Train B
A + B = 196
A = B + 60
Now, we plug in A for the first equation, using substitution
(B+60) + B = 196
2B + 60 = 196
Subtract 60 from both sides
2B = 136
Divide both sides by 2
B = 68
Plug in 68 for B in the 2nd equation
A = 68 + 60
A = 128
Checking work: 128 + 68 = 196 :D hope this helped
A) x * y = 42 (or x = 42/y)
B) x + y = 23
B) 42/y + y = 23
42 + y^2 = 23y
y^2 -23y + 42 = 0
The numbers are 21 and 2
Answer:
Step-by-step explanation:
(1)The units for measuring angles are degrees and radians
A circle is 360° which is equal to 2π radians
1°=π/180
To convert angle measurement from degrees to radians multiply the value of degrees by π/180
(11)
To convert angle measurement from radians to degree multiply the value of radian by 180/π
(111)Yes it matters because you will use different formulas to calculate the length of the arc
For example , when the central angle is in radians, the formula to apply is;
⇒ S=rФ -------------where r is the radius of circle and Ф is angle in radians and S is the arc length.
⇒ When the central angle value is in degrees , the formula to apply is
Arc length =2πr×(Ф/360) where Ф is in degrees , r is radius of circle
2.
we know π=180°
hence 17/6 π=?---------------cross multiply
Apply trigonometry
Find sine 510°
Sine (510°-360°)= sine 150°
Sine 150° = sine 30° = 1/2-----------------2nd quadrant
This means sine 510° = 1/2
Answer:
You begin with 1 bacteria, and after 1 hour it has tripled so you now have 1 x 3=3.
Next hour, it triples again so you now have 1 x 3 x 3=9
You can see the pattern shows that the number of bacteria is multiplying every hour by a factor of 3. An exponent denotes how many times we are multiplying a number by itself, for example: 34 means we are multiplying the number 3 a total of 4 times (3 x 3 x 3 x 3).
Therefore the question is requiring us to triple the number of bacteria every hour for 24 hours, which means we are multiplying by 3 a total of 24 times. This gives us:
n x 324 where n is the number of bacteria you begin with.
Since you begin with 1 bacteria, the solution is 1 x 3 to the power 24 and u will get ur answer
F(x) means "function of" and x represents the day number, example: day 6 would be f(6)=(20×6)+95