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.
Using the area, the number of tiles needed to cover the floor is 6.
<h3>What is area?</h3>
The area is the region bounded by the shape of an object.
Therefore, the bathroom floor measures 3 yards by 3yards.
Hence the area of the bathroom floor can be calculated as follows;
area of the bathroom floor = 3 × 3
area of the bathroom floor = 9 yards²
The area of the custom tiles that makes the flooring is 1 1 /2 square yards.
Hence,
number of tiles needed to cover the floor = 9 ÷ 3 /2
number of tiles needed to cover the floor = 9 × 2 / 3
number of tiles needed to cover the floor = 18 / 3
number of tiles needed to cover the floor = 6
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0.00037 = 3.7×10^-4
37,000 = 3.7×10^4
_____
The exponent of 10 is the place-value multiplier that the most-significant digit has.
In the first number, the most-significant digit (3) is multiplied by 0.0001 to find its place value. Of course 0.0001 = 10^-4.
In the second number, the most significant digit (3) is multiplied by 10,000 to find its place value. You know that 10,000 = 10^4.
Answer:
P=0.00564
Step-by-step explanation:
From Exercise we have 52 cards.
We calculate the number of combinations to draw 5 cards from a deck of 52 cards. We get
{52}_C_{5}=\frac{52!}{5!(52-5)!}=2598960
We now count the number of favorable combinations:
{13}_C_{1} · {48}_C_{2}= 13 · \frac{48!}{2!(48-2)!}=14664
Therefore, the probabilitiy is
14664/2598960=0.00564
P=0.00564
Answer:
(B) π/12 + π/6 k
Step-by-step explanation:
Points of inflection are where f"(x) = 0 and changes signs.
f(x) = cos²(3x)
f(x) = (cos(3x))²
f'(x) = 2 (cos(3x))¹ × -sin(3x) × 3
f'(x) = -6 sin(3x) cos(3x)
Using double angle formula:
f'(x) = -3 sin(6x)
f"(x) = -3 cos(6x) × 6
f"(x) = -18 cos(6x)
0 = -18 cos(6x)
0 = cos(6x)
6x = π/2 + 2πk or 6x = 3π/2 + 2πk
We can simplify this to:
6x = π/2 + πk
x = π/12 + π/6 k
