Answer:
A = 5x³ + 17x² - 35x - 30
Step-by-step explanation:
the shaded area (A) is calculated as
A = outer area - inner area
= (5x + 3)(x² + 4x - 10) - 3x(2x - 1) ← distribute parenthesis
= 5x³ + 20x² - 50x + 3x² + 12x - 30 - (6x² - 3x)
= 5x³ + 23x² - 38x - 30 - 6x² + 3x ← collect like terms
= 5x³ + 17x² - 35x - 30
First, let's count:
there are 26 possible outcomes for E1 (black card)
there are 4x9 = 36 possible outcomes for E2, to pick a numbered card (any color)
there are 2x9 =18 possible outcomes for E1 (black) AND E2 (numbered, spade + clower)
the probability of E1 AND E2 is the ratio of the count of possible outcomes for E1 + E2 and the count of all possible outcomes (52 choices to pick a card from the deck):
P(E1 and E2) = 18/52 (34.6%)
And as asked:
P(E1) = 26/52 = 1/2 (50%)
P(E2) = 36/52 = 9/13 (69.2%)
Answer:
A pair of friends are walking around outside and come across an unknown object. They are not sure if it is a living or a non-living thing. The friends decide to do a quick investigation to determine if it is alive.
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
A= L²
50 = L² (do opposite operation to find L)
L = 7.07
x²= L²+ L²
x²= 7.07² + 7.07²
x² = 100 ( do opposite operation to make x the subject)
x = 10
Note: opposite operation of square is square root
Less than means subtract. So, 0.02 less than 1.423 is 1.423 - 0.02 which equals >>> 1.403
