Answer:
84x¹²
Step-by-step explanation:
To simplify this expression, we work from left to right:
4x(-3x⁸)(-7x³)
Multiplying the coefficients of the first two, we have 4(-3) = -12. Using the laws of exponents, multiplying powers with the same base means we add the exponents; this gives us x(x⁸) = x¹⁺⁸ = x⁹. This gives us
-12x⁹(-7x³)
Multiplying the coefficients, we have -12(-7) = 84. Using the laws of exponents, for the variable we have x⁹(x³) = x⁹⁺³ = x¹²
This gives us
84x¹²
Answer:
Step-by-step explanation:
The first step is to determine the areas of the inner and the bigger circles.
The formula for determining the area of a circle is expressed as
Area = πr²
Where
r represents the radius of the circle.
π is a constant whose value is 3.14
Considering the inner circle,
diameter = 148.4 cm
Radius = 3 inches
Area = 3.14 × 3² = 28.26 inches²
Considering the bigger circle,
Radius = 7 inches
Area = 3.14 × 7² = 153.86 inches²
The area between the bigger and inner circles is
153.86 - 28.26 = 125.6 inches²
Probability = number of favourable outcome/number of total outcome.
the probability you land inside the bigger circle but outside smaller circle is
125.6/153.86 = 0.82
Answer:
Step-by-step explanation:
-2x -3y = 5
4x + 3y = 17
2x = 22
x = 11
4(2) + 3y = 17
8 + 3y = 17
3y = 9
y = 3
(11,3)
The answer should be. 5x=-12