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babunello [35]
3 years ago
6

Choose an equivalent expression for 123 • 129 • 124 • 122. 124 1218 1235 12216

Mathematics
1 answer:
mihalych1998 [28]3 years ago
3 0

Question:

Choose an equivalent expression for 12^3 • 12^9 • 12^4 • 12^2

A. 12^4 B. 12^18 C. 12^35 D. 12^216

Answer:

12^{18}

Step-by-step explanation:

Given

12^3 . 12^9 . 12^4 . 12^2

Required

Determine the equivalent

Applying law of indices, we have:

12^{3 + 9 + 4 + 2}

12^{18}

Hence:

12^3 . 12^9 . 12^4 . 12^2 = 12^{18

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Prove that there does not exist integers m and n such that 2m+4n=7
slamgirl [31]
2m+4n=7\iff m+2n=\dfrac72

There is no choice of integers (m,n) such that the left hand side is a rational number.
8 0
3 years ago
HELP QUICK PLEASE!!!!
Simora [160]

Answer:

<em>41.8°, 138.2° and 401.8°</em>

Step-by-step explanation:

Given the expression;

3sin^2x + 4sinx - 4  = 0

Let P = sinx

The expression becomes;

3P²+4P - 4 = 0

Factorize

3P²+6P-2P - 4 = 0

3P(P+2)-2(P+2) = 0

3P-2 = 0 and P+2 = 0

P = 2/3 and -2

When P = 2/3

sinx = 2/3

x = arcsin 2/3

x = arcsin 0.6667

x = 41.8 degrees

Also if P = -2

sinx = -2

x = arcsin (-2)

x will not exist in this case

To get other values of x

sin is positive in the second quadrant

x = 180 - 41.8

x = 138.2°

x = 360+41.8

x = 401.8°

<em>Hence the values of x within the interval are 41.8°, 138.2° and 401.8°</em>

7 0
3 years ago
For the function f(x) = 6x - 8, identify the values of f(o), f(1/2), and f(-2).
igor_vitrenko [27]

Answer:

-8, -5, -20.

Step-by-step explanation:

f(0) = 6(0) - 8  = -8

f(1/2) = 6(1/2) - 8 = -5

f(-2) = 6(-2) - 8 = -20.

5 0
3 years ago
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Find 2 irational numbers<br>between 1.25 &amp; 1.23​
Luden [163]

Step-by-step explanation:

Anything that goes on forever and between each number

4 0
3 years ago
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Which is a sketch of the cross section of a square pyramid that is cut parallel to its base? Describe the cross section.
Natasha_Volkova [10]
<em><u>d.</u></em>
<em>Square cross section </em>
<em>Also, the smaller pyramid created is similar to the big one.</em>
4 0
3 years ago
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