The value is 20.
b - 10 = 5
Add 10 to both sides.
b = 15.
15 + 5 = 20
-- A negative exponent means the number is in the denominator.
b⁻³ means 1/b³ .
So 1/b³ = 1/216 . You can do it now.
-- If that number is " 10³ ", it means 1,000 .
If that number is " 103 " and you can't remember
how to do multiplication with a pencil, then you'll
have to use your calculator.
-- Again ... 10⁻³ means 1/10³ or 1/1000 .
So the problem is really 36 divided by 1/1000 .
Be very careful. That means 36 x 1000 .
-- To multiply powers that have the same base,
you add the exponents.
Example: 10⁴ times 10⁵ = 10⁹ .
This question can be rearranged as (2.1 x 4) x (10³ x 10⁻⁷)
(10³) times (10⁻⁷) is 10⁻⁴ .
The value of sin(a)cos(a) = 0.32
Step-by-step explanation:
Step 1: Given details are sin(a) - cos(a) = 0.6
Step 2: Square the given equation on both sides.
⇒ (sin(a) - cos(a))² = (0.6)²
⇒ sin²a + cos²a - 2 sin(a)cos(a) = 0.36
⇒ 1 - 2 sin(a)cos(a) = 0.36 since sin²a + cos²a=1
⇒ - 2 sin(a)cos(a) = - 0.64
⇒ 2 sin(a)cos(a) = 0.64
⇒ sin(a)cos(a) = 0.32
If it is 40% off, it means you have to pay 60% of its price.
$67 × 60/100 = $40.20
the 8% of sales tax is added from the $40.20
$40.20 × 8/100 = $3.22
total price = $40.20 + $3.22 = $43.42