Answer:
6=p
Step-by-step explanation:
We want to isolate p, so we can first multiply by p on both sides.
24/p=4
24=4p
Then, divide by 4.
6=p
Given:
and
where
.
To find:
The explicit formula for the given recursive formula.
Solution:
We know that recursive formula of an AP is:

Where, d is the common difference.
We have,

Here, d=9.
The first term of the AP is
.
The explicit formula for an AP is:

Substituting
and
, we get



Therefore, the required explicit formula for the given sequence is
.
Answer: 3x + 6 -4x = 1
Simplify to -x + 6 = 1 because 3x - 4x = -1x
Already have: 3/6 cups
need : 1/5
3/6 - 1/5=
15/30 - 6/30=
9/30=
3/10
so you wil have 3/10 of brown sugar left
Answer:
Find the answers below
Step-by-step explanation:
Using m<X as the reference angle
Opposite YZ = 7
Adjacent XY = 10
Hypotenuse XZ = √149
Using the SOH CAH TOA identity
sinX = opp/hyp
sinX =YZ/XZ
sinX = 7/√149
For cos X
cos X = adj/hyp
cos X =10/√149
Using m<Z as reference angle;
Opposite XY = 10
Adjacent YZ = 7
Hypotenuse XZ = √149
Using the SOH CAH TOA identity
sinZ = opp/hyp
sinZ =10/√149
sinZ = 7/√149
For cos Z
cosZ = 7/√149