Answer:
a_{n} = a_{1} + (n-1)d
a_n = the nᵗʰ term in the sequence
a_1 = the first term in the sequence
d = the common difference between terms
The general term of an arithmetic sequence can be written in terms of its first term a1, common difference d, and index n as follows: an=a1+(n−1)d. ... The nth partial sum of an arithmetic sequence can be calculated using the first and last terms as follows: Sn=n(a1+an)2.
Answer:
tan ∅ = 24 / 7
Step-by-step explanation:
cos ∅ = 7 / 25
sin^2 ∅ + cos^2 ∅ = 1
sin^2 ∅ + (7 / 25)^2 = 1
sin^2 ∅ = 1 - 49 / 625
sin^2 ∅ = 625 - 49 / 625
sin^2 ∅ = 576 / 625
sin ∅ = root 576 / 625
sin ∅ = 24 / 25
tan ∅ = sin ∅ / cos ∅
tan ∅ = 24/25 / 7/25
Therefore, tan ∅ = 24 / 7
OPTION 4. 24 / 7
Answer:
<h2>
x = 15</h2>
Step-by-step explanation:
RQ < PR < PQ
TV < UV < UT
ΔPQR~ΔUTV ⇒ 

Answer:
y=7-(8/5)x
Step-by-step explanation:
To solve for y we need to get Y on one side of the equation all by itself. To start we can move the 8x to the side with the 35 by subtracting 8x on both sides which gets us to 5y=35-8x then we just need to get the 5 detached from the y and we will have solved for Y. To do this we can divide by 5 on both sides to cancel out the 5 with the Y which leaves us with y=7-(8/5)x
I hope this helps and please don't hesitate to ask if there is anything still unclear!
Answer:
0.28
Step-by-step explanation:
Let p be the probability of pasta.
Total probability is = 1
Therefore,
0.3 + 0.42 + p = 1
0.72 + p = 1
p = 1 - 0.72
p = 0.28
The probability that it will be pasta is 0.28