Answer:
A has to be 2
Step-by-step explanation:
In the expression 
, the multiplicative factor A represents what is called the "amplitude of the wave-shaped function that you obtain as the graph. Such amplitude is understood as half of the crest-to-through distance of the wavy curve.
From the drawing, the crest is at y=2 and the through at y=-2 (a distance of 4 units) therefore the value of A should be half of that distance: 4/2 = 2
House to beach + beach to store = house to park + park to store - 2
(x + 2) + (2x + 2) = (4x) + (x) - 2
3x + 4 = 5x - 2
3x + 6 = 5x
6 = 2x
x = 3
Check this:
(3 + 2) + (2[3] + 2) = (4[3]) + (3) - 2
5 + 8 = 12 + 3 - 2
13 = 13
So the route from home to the beach and the beach to the store is 13 miles, and the route from home to the park and from the park to the store is 15 miles.
Step-by-step explanation:
Area of a parallelogram=base×height
=10×4
=40cm^2
Using the given equation of,
V = lwh
The volume of the given prism in the figure is,
V = (x² - x / 4x + 1) (2x - 5)(24x² + 6x / x - 1)
By factoring,
V = ((x)(x - 1) / (4x + 1))(2x - 5)((6x)(4x + 1) / (x - 1))
Eliminating terms appearing in both the denominator and numerator,
V = (x)(2x -5)(6x)
Answer:
21 / 400
Step-by-step explanation:
Given 8 cherry, 5 grape, and 7 orange gummy vitamins out of the multivitamin container.
The probability that Julio will select an orange multivitamin is
7 ÷ 8 + 5 + 7 = 7/20
Also, given 11 berry, 3 lemon, and 6 pineapple gummy vitamins out of the calcium container
The probability that Julio will select a lemon calcium is
3 ÷ 11 + 3 + 6 = 3/20
Therefore, since the event of selecting are independent of each other
probability that Julio will select an orange multivitamin and a lemon calcium vitamin is
7/20 × 3/20
= 21 / 400
