Answer:
The answer is explained below
Step-by-step explanation:
The question is not complete we need point P and point Q.
let us assume P is at (3,1) and Q is at (-2,4)
To find the coordinate of the point that divides a line segment PQ with point P at
and point Q at
in the proportion a:b, we use the formula:

line segment PQ is divided in the ratio 5:3 let us assume P is at (3,1) and Q is at (-2,4). Therefore:

Answer:
y = 0.5 cosine (4 (x - pi/2)) - 2
Step-by-step explanation:
Taking the general form:
y = A cosine (Bx - Cπ)) + D
In the following case. the constants are:
y = 0.5 cosine (4x - 2π)) - 2
A: 0.5
B: 4
C: 2π
D: -2
The range of this function is:
range = [-|A|+D, |A|+D]
range = [-0.5-2, 0.5-2]
range = [-2.5, -1.5]
Which coincides with "It has a maximum at negative 1.5 and a minimum at negative 2.5"
At x = 0, the function value is:
y = 0.5 cosine (4(0) - 2π)) - 2
y = 0.5 - 2 = -1.5
As indicated in "a curve crosses the y-axis at y = negative 1.5"
The period of the function is:
period: 2π/B
period = 2π/4 = π/2 or 2 cycles at π
as described in "It goes through 2 cycles at pi."
7/24 divided by 35/48= 2/5 simplified to its lowest term
Answer:
9 stamp
Step-by-step explanation:
In a deck of 52 cards, 13 are hearts. Assuming you do not put the cards back in after drawing them, the first card's chance of being hearts would be 13/52, or 1/4. Since on heart card is gone from the deck, the next card's chances of being hearts are 12/51, or 4/17. Now that two hearts are gone from the deck, the third card's chances of being hearts is 11/50. Finally, we have to multiply all three fractions. 1/4 x 4/17 x 11/50 = 44/340, or 11/85. Therefore, our answer is 11/85.
Hope this helps!