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alisha [4.7K]
2 years ago
14

Which expression is equivalent to 3^12 • 7^9

Mathematics
1 answer:
TEA [102]2 years ago
5 0
The answers are...

B. (3 ^3) ^9 * (7 ^3) ^6
D. (3 ^3 + 3 ^9) * (7 ^6 + 7 ^3)
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For some integer n, the first, the third and the fifth terms of an arithmetic sequence are respectively 3n, 5n – 6, and 11n + 8.
Mazyrski [523]

Answer:

a₄=8n+1= -39.

Step-by-step explanation:

1) if a₁=3n; a₃=5n-6 and a₅=11n+8, then it is possible to calculate the difference according to 0.5(a₅-a₃)=0.5(a₃-a₁). Then

2) 0.5(11n+8-5n+6)=0.5(5n-6-3n); ⇔ 6n+14=2n-6; ⇔ n= -5.

3) if n=-5, then the 4th term is:

a_4=\frac{a_5+a_3}{2}; \ = > \ a_4=\frac{11n+8+5n-6}{2}=8n+1;

or a₄=-39.

8 0
2 years ago
Yay someone help me I’ll mark brainlest if ya as ser first!
xxTIMURxx [149]

Answer:

Least to greatest is 81/10, 8 1/9, 8.115 and 9.95

Step-by-step explanation:

3 0
3 years ago
Find the sum <br> 12x^2+9x^2
katen-ka-za [31]
Let's simplify step-by-step.
<span><span>12<span>x^2</span></span>+<span>9<span>x^2
</span></span></span>Combine Like Terms:
<span>=<span><span>12<span>x^2</span></span>+<span>9<span>x^2
</span></span></span></span><span>=<span>(<span><span>12<span>x^2</span></span>+<span>9<span>x^2</span></span></span>)
</span></span><span>=<span>21<span>x^<span>2</span></span></span></span>
5 0
3 years ago
For a direct variation the constant of variation and the slope will always be
Anastasy [175]

Step-by-step explanation:

constant variation is direct and the slope is constant

3 0
3 years ago
Read 2 more answers
The length, in millimeters of each side of a square shaped electronic chip is a rational number. What statement is true about th
AVprozaik [17]

Answer:

The diagonal is irrational because it is a product of a rational and an irrational number

Step-by-step explanation:

The options are not given. However, the question is still answerable.

Given

Shape: Square

Length: Rational

Since the side length is said to be rational, I'll answer the question based on whether the diagonal is rational or not.

Having said that:

The diagonal (d) of a square with side length (l) is calculated using Pythagoras theorem.

d^2 = l^2 + l^2

d^2 = 2l^2

Take positive square root of both sides

d = \sqrt{2l^2}

Split:

d = \sqrt{2} * \sqrt{l^2}

d = \sqrt{2} *l

Recall that the side length (l) is rational.

However, \sqrt 2 is irrational.

So, the product of l and \sqrt 2 will be irrational

Hence:

The diagonal is irrational

8 0
3 years ago
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