<span>7e^(×/3)=14
</span><span>e^(×/3)=14/7
</span>e^(×/3)=2
take ln of both sides;
lne^(×/3)=ln2
****You should be familiar that lne^x=x as ln is the inverse function of e and vice versa****
then;
x/3=ln2
x=3ln2
x approximately is equal to 2.1
8b - 1 = 24b + 4
Subtract 8b from both sides.
-1 = 16b + 4
Subtract 4 from both sides.
-5 = 16b
Divide by 16 on both sides.
<span>-0.3125 = b</span>
Answer:
b) 5:7 = 15:21
Step-by-step explanation:
This questions tests our understanding of enlargement ratios.
#Determine the decimal equivalents or simplify to see which one is correct:
#a) 5:21 = 7:15

#b) 5:7 = 15:21


#c) 5:7 = 21:15

#d) 21:5 = 15:7

Hence, option b is the correct one as 5:7 = 15:21
Answer:
A midsegment (or midline)
Step-by-step explanation:
In geometry, a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints. A closed line segment includes both endpoints, while an open line segment excludes both endpoints; a half-open line segment includes exactly one of the endpoints.
1, a.) The two specific conjectures are in the first image.
1, b.) The two general conjectures are in the second image.
2, a.) Two specific conjectures for this pattern are:
- The common difference between two consecutive terms is 3.
- And the given difference is A.P.
2, b.) From our observation two general conjecture is that the given sequence is an arithmetic sequence and the common difference is 3.
For finding its nth term we can use the formula: a(n) = a + (n-1) x d.
2, c.) A formula for the given pattern is 5 + (n-1)3, where n is the number of the term.