Answer:
(x, y) ⇒ (-x, -y)
Step-by-step explanation:
There are a couple of ways you can go at this.
1) Rotation by 180° in either direction is the same as reflection across the origin. That reflection is identical to reflection across both the x- and y-axes, in either order, so negates both coordinates. The transformation rule is ...
(x, y) ⇒ (-x, -y)
__
2) The rule for a general rotation by angle α is ...
(x, y) ⇒ (x·cos(α) -y·sin(α), x·sin(α) +y·cos(α))
For α = 180°, sin(α) = 0 and cos(α) = -1. This makes the rule for rotation by 180° be ...
(x, y) ⇒ (-x, -y)
Answer:
17pi/15
Step-by-step explanation:
s = r *theta where r is the radius and theta is the central angle in radians
Convert 51 to radians
51 * pi/180 = 51pi/180
s = 4 * 51pi/180
= 17pi/15
Answer:
The function that represents the mass of the sample after t days is .
The percentage rate of change per hour is of -2.46%.
Step-by-step explanation:
Exponential amount of decay:
The exponential amount of decay for an amount of a substance after t days is given by:
In which A(0) is the initial amount, and r is the decay rate, as a decimal.
Element X is a radioactive isotope such that its mass decreases by 59% every day. The experiments starts out with 390 grams of Element X.
This means, respectively, that
So
The function that represents the mass of the sample after t days is .
Hourly rate of change:
Decreases by 59% every day, which means that for 24 hours, the rate of change is of -59%. So
-59%/24 = -2.46%
The percentage rate of change per hour is of -2.46%.
Answer:
She needs 26 plastic bags.
Step-by-step explanation:
Given:
Amount of cups of snacks mix = 8 2/3
Rewriting 8 2/3 we get,
Amount of snacks mix =
Number of Cups in each bag =
She puts all the snacks mix in plastic bags
We need to find the number of plastic bags required to put all the snacks mix
Let number of plastic bag be x.
hence we can say that Number of Cups in each bag multiplied by number of plastic bag is equal to Amount of snacks mix.
Hence total number of plastic bags she needs is 26.
Answer:
8
Step-by-step explanation:
40 grouped into 5 = 40/5 = 8