Ava will have 4 cupcakes because Emme is 3x and Ava is 1x. 4x will be equal to 16. 16 divided by 4 is 4 so Ava has 4 and Emme has 12.
~JZ
#sol1
a1=1×4-1=3
a2=2×4-1=7
a3=3×4-1=11
a4=4×4-1=15
a5=5×5-1=19
#sol2
f(1)=1×4-1=3,
f(n+1)=f(n)+4,
so .... you know.
Answer:
B
Step-by-step explanation:
(Sorry about the crude drawing)
The drawing shows what the triangle with a terminal side in Quadrant IV looks like.
Secant is the ratio of the hypotenuse to the adjacent side of the angle. In the given ratio, we can set 5 as the hypotenuse and 2 as the adjacent side (you can see them labeled in the picture).
Now, we want to find sin, which is (opposite)/(hypotenuse). However, we don't know the opposite. We can find it by using the Pythagorean Theorem:
So, the opposite side is . But, we see that since it's in the fourth quadrant, it must be negative, so we have opposite = . Now, we can find the ratio because hypotenuse = 5:
sin(θ) = .
Thus, the answer is B.
Hope this helps!
Answer:
The translation rule is described by .
Step-by-step explanation:
According to Linear Algebra, a translation consists in sum a given vector (original point in this case) with another vector (translation vector). We can define translation as follows:
(Eq. 1)
Where:
- Original vector with respect to origin, dimensionless.
- Translated vector with respect to origin, dimensionless.
- Translation vector with respect to original vector, dimensionless.
From (Eq. 1) we get that translation vector is:
If we know that and , then the translation vector is:
And we find the translation rule by assuming that and in (Eq. 1):
The translation rule is described by .