3 years ago

Simplify 3 to the second exponent ⋅ 3 to 5th the exponent .

Mathematics

1 answer:

inysia [295]3 years ago

3 0

3^2 * 3^5 =
3*3=9 * 3*3*3*3*3= 243

I think you can figure out it from there

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In a geometric sequence, if a3 = ‒5 and a6 = 40, determine a1, r, and an. Then write the first three terms of the sequence.

Tresset [83]

$a_4=ra_3$
$a_5=ra_4=r^2a_3$
$a_6=ra_5=r^3a_3$

$40=-5r^3\implies r^3=-8\implies r=-2$

$a_3=ra_2=r^2a_1$

$-5=(-2)^2a_1\implies a_1=-\dfrac54$

You know the first and third terms, $a_1$ and $a_3$ , so you just need to find the second term $a_2$ :

$a_2=ra_1\implies a_2=-2\left(-\dfrac54\right)=\dfrac52$

7 0

3 years ago

Calculate the measure of the arc PQ.

tresset_1 [31]

Answer:

arc PQ = 124°

Step-by-step explanation:

The inscribed angle PRQ is half the measure of its intercepted arc PQ, so

arc PQ = 2 × 62° = 124°

5 0

2 years ago

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