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Ipatiy [6.2K]
3 years ago
9

Can someone please answer my last question

Mathematics
1 answer:
mash [69]3 years ago
7 0
Sure, what was your last question?
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Could you help me with this question
mariarad [96]

Answer:

180 degree angles.

Step-by-step explanation:

180 degree angles are straight lines.

3 0
4 years ago
Find an explicit rule for the nth term of the sequence.The second and fifth terms of a geometric sequence are 18 and 144, respec
vova2212 [387]

Given:

second term = 18

fifth term = 144

The nth term of a geometric sequence is:

\begin{gathered} a_n\text{ = ar}^{n-1} \\ Where\text{ a is the first term} \\ r\text{ is the common ratio} \end{gathered}

Hence, we have:

\begin{gathered} \text{ar}^{2-1}\text{ = 18} \\ ar\text{ = 18} \\  \\ ar^{5-1}=\text{ 144} \\ ar^4\text{ =144} \end{gathered}

Divide the expression for the fifth term by the expression for the second term:

\begin{gathered} \frac{ar^4}{ar}\text{ = }\frac{144}{18} \\ r^3\text{ = }\frac{144}{18} \\ r\text{ = 2} \end{gathered}

Substituting the value of r into any of the expression:

\begin{gathered} ar\text{ =  18} \\ a\text{ }\times\text{ 2 =  18} \\ Divide\text{ both sides by 2} \\ \frac{2a}{2}\text{ =}\frac{18}{2} \\ a\text{ = 9} \end{gathered}

Hence, the explicit rule for the sequence is:

a_n\text{ = 9\lparen2\rparen}^{n-1}

5 0
2 years ago
What is the mean of 14,22,15,7,0,12
Oksana_A [137]
The mean is 11.666666666667
The median is 13
The mode is 14, 22, 15, 7, 0, 12
Hopefully it helps u
8 0
2 years ago
Read 2 more answers
Evaluate C(9, 3). a)504 b)84 c)60480 d)5040
melomori [17]

Answer:

b

Step-by-step explanation:

Evaluate using the definition

nC_{r} = \frac{n!}{r!(n-r)!}

where n ! = n(n - 1)(n - 2)(n - 3)..... × 3 × 2 × 1

Given

9C_{3}

= \frac{9!}{3!(9-3)!}

= \frac{9.8.7.6.5.4.3.2.2.1}{3!.6!}

= \frac{9.8.7.6.5.4.3.2.1}{3.2.1(6.5.4.3.2.1)}

Cancel 6.5.4.3.2.1 on numerator and denominator, leaving

= \frac{9.8.7}{3.2.1}

= \frac{504}{6}

= 84 → b

3 0
3 years ago
Sam is using the expression x4y What is the value of the expression when x/4y = 10 and y = 1/2 ?
True [87]
The most important thing is the fact that you can get a chance to share
7 0
3 years ago
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