A)
a³ * a⁵ = a⁵⁺³
= a⁸
b)
b⁶ / b³ = b⁶⁻³
= b³
c)
4c⁷ * 3c⁵ = (4 * 3)c⁷⁺⁵
= 12c¹²
d)
12p⁶ / 4p² = (12 / 4)p⁶⁻²
= 3p⁴
e)
(3p²q³)³ = (3)³(p²)³(q³)³
= 27p²⁽³⁾q³⁽³⁾
= 27p⁶q⁹
f)
Shaded area = Area of large rectangle - Area of smaller rectangle
Area of large rectangle = 5(4x - 2)
= 20x - 10
Area of smaller rectangle = 3(2x - 3)
= 6x - 9
Shaded area = (20x - 10) - (6x - 9)
= 20x - 6x - 10 + 9
= 14x - 1
Step-by-step explanation:
To prove :
( 1 - sin x ) ( 1 + sin x ) = sec² x
LHS : -
( 1 - sin x ) ( 1 + sin x )
Formula / Identity : -
( a - b ) ( a + b ) = a² - b²
Here,
a = 1
b = sin x
( 1 - sin x ) ( 1 + sin x )
= 1 - sin² x
Identify : -
sin² θ + cos² θ = 1
cos² θ = 1 - sin² θ
Similarly,
1 - sin² x
= cos² x
= RHS
Hence verified.
You cut the cookie in 4 parts and give them 3 pieces
Answer:
x = 1.71
Step-by-step explanation:
![x^3-20=-15\\x^3=-15+20\\x^3=5\\\sqrt[3]{x^3} =\sqrt[3]{5} \\x=1.71](https://tex.z-dn.net/?f=x%5E3-20%3D-15%5C%5Cx%5E3%3D-15%2B20%5C%5Cx%5E3%3D5%5C%5C%5Csqrt%5B3%5D%7Bx%5E3%7D%20%3D%5Csqrt%5B3%5D%7B5%7D%20%5C%5Cx%3D1.71)
Given : Brandon buys a radio for $45.99 .sales tax rate is 7%.sales tax is a consumption tax imposed by the government on the sale of goods and services.
Let the price of Radio before the sales tax be $x. Sales tax on $x is 7% x.
Price before sales tax + Amount of sales tax= Cost of Radio.
x+7%x =45.99
Or x+0.07x=45.99
1.07x=45.99
Dividing both sides by 1.07.
x= 41.11
Cost of Radio before tax = $41.11
Sales tax paid = 43.99-41.11= 2.88
Tax paid = $2.90 (To nearest cent)
