ANSWER

EXPLANATION
If the graph of y=cosx is transformed to y=a cos (x−c)+d by a vertical compression by a factor of 1/3 and a translation 2 units down,
then
a=1/3
and d=-2.
The 'c' is a phase shift since it is not given, it means it is zero.
Therefore the new equation is:
y=1/3cos(x-0)−2
This simplifies to:
y=1/3cosx−2
The correct option is C.
Menjawab:
y + 2x
Penjelasan langkah demi langkah:
Menulis ulang pertanyaannya
4log5 = x
4log 6 = y
4 log 150 = 4log (2 * 3 * 5 * 5)
= 4log 6 + 4log 5 + 4log 5
Substrat
= y + x + x
= y + 2x
Oleh karena itu ekspresi yang dibutuhkan adalah y + 2x
Answer:
B is correct.
Step-by-step explanation:
Compound Interest Formula:

Tasha invests in two ways
Case 1:
- Principal P=$5,000
- Rate of Interest r=0.06
- Time t=t
- n=1


Case 2:
- Principal P=$5,000
- Rate of Interest r=0.08
- Time t=1
- n=1


Total amount yield by Tasha = ![5000[(1.06)^t+(1.08)^t]](https://tex.z-dn.net/?f=5000%5B%281.06%29%5Et%2B%281.08%29%5Et%5D)
Thomas Investment
- Principal P=$10,000
- Rate r= 0.07
- t=t
- n=1
Total amount yield by Thomas = 
Now we make table for Tasha and Thomas different value of t
t Tasha Thomas
1 $10,700 $10,700
2 $11,450 $11,449
3 $12,254 $12,250
4 $13,115 $13,108
In table we can see Tasha investment will yield more from Thomas.
Thus, Tasha’s investment will yield more over many years because the amount invested at 8% causes the overall total to increase faster.
Answer:
See explanation
Step-by-step explanation:
(4)
Using the sine ratio in the right triangle
sinΘ =
=
, thus
Θ =
(
) ≈ 51.1°
(5)
Using the tangent ratio in the right triangle
tanΘ =
=
, thus
Θ =
(
) ≈ 38.7°
Answer:
1/8
Step-by-step explanation
Every time the number is divided by 2 like 8 divided by 2 is 4 and 4 divided by 2 is 2 and so on so if you divide 1/4 by 2 it would be 0.125 and that in fraction would be 1/8.