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vivado [14]
4 years ago
8

Evaluate the following expression. 2 cubed A.) 69 B.) 27 C.) 5 D.) 8

Mathematics
2 answers:
DanielleElmas [232]4 years ago
8 0

Answer:

D) 8

Step-by-step explanation:

2^3 means 2 times itself 3 times:

2*2*2

2*2 is 4 so:

4*2

4*2 is 8 so the answer is D, 8!

nlexa [21]4 years ago
6 0

Answer:

D; 8

Step-by-step explanation:

2³ = 2 x 2 x 2 = 8

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If the parent function is f(x) = x2 and its transformed function is g(x) = 2(x − 1)2 + 2, how is the graph of g(x) transformed f
Galina-37 [17]
The answer is A. g(x) is a vertical stretch and shift over both axes.
7 0
4 years ago
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A family swimming pool membership costs $27.50 per month plus a one-time registration fee of $25. If a family has paid a total o
Anna [14]

Answer:

5 months

Step-by-step explanation:

y=mx+b

162.50=27.50x+25

162.50-25=27.50x+25-25

137.50=27.50x

137.50/27.50=x

5=x

hope this helps :)

8 0
4 years ago
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Find the indicated nth term <br> show your solution 8,15,22,29,...,a18
Damm [24]

Answer:

127

Step-by-step explanation:

Hey there! :)

Let us find the 18th term — first, there are two main types of sequences.

  • Arithmetic Sequence — a sequence that has same difference or common difference.
  • Geometric Sequence — a sequence that has same ratio.

But if you notice, it cannot be geometric sequence because if we do ratio test, there are no common ratios.

Hence, it can only be arithmetic sequence.

<u>C</u><u>o</u><u>m</u><u>m</u><u>o</u><u>n</u><u> </u><u>D</u><u>i</u><u>f</u><u>f</u><u>e</u><u>r</u><u>e</u><u>n</u><u>c</u><u>e</u>

\displaystyle \large{a_{n + 1} - a_n = d}

d is our common difference.

a_n+1 is the next term of a_n.

Let's check the common difference!

15-8 = 7

22-15 = 7

29-22 = 7

Therefore, 7 is our common difference.

<u>G</u><u>e</u><u>n</u><u>e</u><u>r</u><u>a</u><u>l</u><u> </u><u>T</u><u>e</u><u>r</u><u>m</u><u>s</u><u> </u><u>o</u><u>f</u><u> </u><u>A</u><u>r</u><u>i</u><u>t</u><u>h</u><u>m</u><u>e</u><u>t</u><u>i</u><u>c</u><u> </u><u>S</u><u>e</u><u>q</u><u>u</u><u>e</u><u>n</u><u>c</u><u>e</u>

\displaystyle \large{a_n = a_1  + (n - 1)d}

We know that a1 is the first term of sequence which is 8.

Our common difference is 7.

We want to find the 18th term — therefore,

\displaystyle \large{a_{18} = 8  + (18 - 1)7} \\  \displaystyle \large{a_{18} = 8  + (17)7} \\  \displaystyle \large{a_{18} = 8  + 119} \\  \displaystyle \large{a_{18} = 127}

Therefore, the 18th term is 127.

4 0
3 years ago
Can someone help with 8&amp;10
stiv31 [10]

8. Answer:  (C) 101.3

<u>Step-by-step explanation:</u>

Use the Law of Cosines:

c² = a² + b² - 2ab·cos C

28.2² = 16.9² + 19.5² - 2(16.9)(19.5)·cos C

795.24 = 285.61 + 380.25 - 659.1 cos C

795.24 = 665.76 - 659.1 cos C

129.38 = - 659.1 cos C

-0.196 = cos C

cos⁻¹ (-0.196) = cos⁻¹ (cos C)

101.3 = C

**********************************************************

10. Answer:  (A) 27.9

<u>Step-by-step explanation:</u>

Use the Law of Cosines:

c² = a² + b² - 2ab·cos C

c² = 25² + 18² - 2(25)(18)·cos 79

c² = 625 + 324 - 900 cos 79

c² = 949 - 171.7

c² = 777.3

√c² = √777.3

c = 27.9

3 0
3 years ago
Solve the following equation algebraically:
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Answer:

A. X~+3.46

Step-by-step explanation:

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