Answer:
B) ( x+3)² - 5
Step-by-step explanation:
Given expression
x²+6x+4
Adding '9' and subtracting '9' of given expression
⇒ x² + 2 (3) (x) +(3)² -(3)² +4
(a + b)² = a² + 2 a b + b²
⇒ ( x+3)² - 9 +4
⇒ ( x+3)² -5
Answer:
Apparent Increase in Wave Frequency
As the ambulance approaches you, the distance between the source of the waves and the observer decreases. Consequently, the siren sounds more shrill as the pitch of the wailing siren 'sounds' higher than its original value, as sound waves reach you 'more frequently'.
Step-by-step explanation
hope this helps
Answer:
The answer is below
Step-by-step explanation:
From the table, the mean (μ) = 1390.75 and the standard deviation (σ) = 518.75
The confidence level (C) = 90% = 0.9
α = 1 - C = 1 - 0.9 = 0.1
α/2 = 0.1 / 2 = 0.05
The z score of α/2 (0.05) is the same as the z score of 0.45 (0.5 - 0.05) which is equal to 1.645.
The margin of error (E) is given as:
The confidence interval = μ ± E = 1390.75 ± 228.07 = (1162.68, 1618.82)
The confidence interval is between 1162.68 and 1618.82.
Let our basis be worth 1 dollar. A nickel's worth is $0.05. In order to come up with $1, the number of nickels should be:
Number of nickels = $1 * 1 nickel/$0.05 = 20 nickels
Thickness of 20 nickels = 20 nickels * 1.95 mm = 39 mm
Let's do the same for the quarters. Each quarter is worth $0.25.
Number of quarters = $1 * 1 quarter/$0.25 = 4 quarters
Thickness of 4 quarters = 4 quarters * 1.75 mm = 7 mm
Find the ratio of the two:
39 mm/7 mm = 5.57
Therefore, a stack of nickels is 5.57 times thicker than a stack of quarters worth one dollar.
Answer:
hi
Step-by-step explanation:
