Answer:
t=12
Step-by-step explanation:
Step 1: Subtract t from both sides.
−t+5−t=t−19−t
−2t+5=−19
Step 2: Subtract 5 from both sides.
−2t+5−5=−19−5
−2t=−24
Step 3: Divide both sides by -2.
−2t−2=−24−2
Answer:
y = 2(x - 1)² + 1
Step-by-step explanation:
The equation of a quadratic function in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (1, 1), thus
y = a(x - 1)² + 1
To find a substitute (4, 19) into the equation
19 = a(4 - 1)² + 1
19 = 9a + 1 ( subtract 1 from both sides )
18 = 9a ( divide both sides by 9 ), thus
a = 2
y = 2(x - 1)² + 1 ← in vertex form
Answer:
Step-by-step explanation:
Remark
The measurement of the arc is 3Pi
that represents 108 / 360 of the circle.
Equation
108/350 2 * pi * R = 3* pi
Solution
Pi is on both sides of the equation. They both cancel.
108/360 = 0.3
0.3 * 2 * R = 3
0.6 * R = 3
R = 3/0.6
R = 5
Answer:
2%
Step-by-step explanation:
Answer:
£103.70
Step-by-step explanation:
Payment per hour = £8.50
Overtime payment = 1.4 × 8.50
= £11.90
Ben worked for 11 hours.
Normal time = 8 hours
Overtime = 3 hours
Total earnings = (8 hours × 8.50) + (3 hours × 11.90)
= £68 + £35.7
= £103.70
Ben earned £103.70 for working for 11 hours
