=4n - 1
Since the sequence is add 4 and 3-4 = -1
20 x 4n = 80-1 = 79
Answer:
x = 13
∠F = 28°
∠S = 28°
y = 9
DE = 38 ft
Step-by-step explanation:
We are told that △DEF = △QRS
Looking at both triangles and by comparison, it is clear that;
∠R = ∠E = 123°
∠Q = ∠D = 29°
∠S = ∠F = 180 - (123 + 29) = 28°
Also,QR = DE
Thus; 5y - 7 = 38
5y = 38 + 7
5y = 45
y = 45/5
y = 9
Thus,y = 9 and DE = 38 ft
We see in the image that ∠S = (2x + 2)°
From earlier we deduced that ∠S = 28°
Thus; 2x + 2 = 28
2x = 28 - 2
2x = 26
x = 26/2
x = 13
Answer:
0
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
An approximation of an integral is given by:
First, find Δx. Our a = 2 and b = 8:
The left endpoint is modeled with:
And the right endpoint is modeled with:
Since we are using a Left Riemann Sum, we will use the first equation.
Our function is:
Therefore:
By substitution:
Putting it all together:
Thus, our answer is C.
*Note: Not sure why they placed the exponent outside the cosine. Perhaps it was a typo. But C will most likely be the correct answer regardless.
Setup
0.8x + 0.4y = 50
0.1x + 0.2y = 10 - Multiply by -2 and add
get
0.6x = 30
x = 50 mg compound A
.1 (50) + .2y = 10
5 + .2y = 10
.2y = 5
y = 25 mg compound B