Answer
t = 2
Step-by-step explanation
Simplify 5-(t+3).
-t+2=-1+2t-3
Subtract 3 from -1
-t+2=2t-4
Move all terms containing to the left side of the equation.
-3t+2=-4
Move all terms not containing t to the right side of the equation.
-3t=-6
Divide each term by -3 and simply.
t = 2
The transformation (x,y) --> (x,-y) is reflection over x axis. while the x coordinates in the image stay the same as the original, y coordinates change the sign.
Therefore coordinates of original image and final image after reflection
E - (0,3) --> E' (0,-3)
F - (2,2) --> F' (2,-2)
G - (1,1) --> G' (1,-1)
The diagram attached shows both the original image and image after reflection
Answer:
Step-by-step explanation:
The standard form for this function is
y = Asin(Bx - C) + D where
A is the amplitude,
B is used to find the period in the formula
,
C is used to find the phase shift in the formula
,
and D is the midline which either moves the function up or down from its natural midline of 0.
We have no given phase shift, so there is no C value. The amplitude is easy; we just fill in A as 4. The period is another story:
and we solve for B by cross multiplying:
3πB = 4π and
so
so the function is

<h2>
Answer:</h2>
The number is:
285
<h2>
Step-by-step explanation:</h2>
It is given that:
1 2/3% of a number is 4.75.
Let the number be x.
We know that:

This means that:

i.e.

Hence, the number is: 285
Answer:
$57.44 per hour
Step-by-step explanation:
Given that :
Hours worked = 360 hours
Production = 132 batches of garment
Of the 152:
52 were flawed (sold at $90 each)
80 were sold at $200 each
Labor productivity ratio: (output value / input value (hours worked))
Output value = [(52*$90) + (80*$200)]
Output value = $20,680
Labor productivity ratio = $20,680 / 360 hours
Labor productivity ratio = $57.44 per hour