Answer:
<h2>n = 8</h2>
Step-by-step explanation:
Given the nth term of an arithmetic sequence to be Tn = a+(n-1)d
a = first term of the sequence
n = number of terms
d = common difference.
Given the first element a = 2 and 22nd to be 14
T22 = a+(22-1)d = 14
a+21d = 14
Substtuting a = 2 into the equation to get d
2+21d = 14
21d = 12
d = 12/21
d = 4/7
The nth term of the sequence given a = 2 and d = 4/7 will be expressed as;
Tn = 2+(n-1)4/7
Given Tn = 6
6 = 2+(n-1)4/7
6 = 2+4/7 n - 4/7
6-2+4/7 = 4/7 n
32/7=4/7 n
32 = 4n
n = 32/4
n = 8
Answer: 11 servings
Step-by-step explanation:
To get the number of servings, all we need to do is divide 8 1/4 by 3/4
converting 8 1/4 to improper fraction will yield 33/4
8 1/4 ÷ 3/4
=33/4 ÷ 3/4
= 33/4 ÷ 4/3
The 4 at the numerator will cancel the 4 at the denominator. we will be left with;
=33/3 =11
Therefore, there will be 11 servings.
Hello there!
Answer: ⇒ C. -30
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Step-by-step explanation:
First you had to remove parenthesis.

Then you multiply by the number.

Apply absolute value.


Again apply absolute value.


Simplify it's should be the correct answer.

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Hope this helps!
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-Charlie
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It is an acute triangle bc 8 squared + 14 squared is 260 and that is more than 15 squared (225)
Answer:92.6013
Step-by-step explanation: