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3 years ago

Find the eighth term of the

Mathematics

1 answer:

Pie3 years ago

7 0

Answer:

see explanation

Step-by-step explanation:

The n th term of a geometric sequence is

$a_{n}$ = a₁ $(r)^{n-1}$

where a₁ is the first term and r the common ratio, hence

$a_{8}$ = 6 × $(-1/3)^{7}$ = 6 × - $\frac{1}{3^{7} }$ = 6 × - $\frac{1}{2187}$ = - $\frac{2}{729}$

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What is log(z^4/5) written in expanded form?

Ostrovityanka [42]

To get answer:

$\mathrm{Apply\:log\:rule}:\quad \log _c\left(\frac{a}{b}\right)=\log _c\left(a\right)-\log _c\left(b\right)\\\log _{10}\left(\frac{z^4}{5}\right)=\log _{10}\left(z^4\right)-\log _{10}\left(5\right)\\=\log _{10}\left(z^4\right)-\log _{10}\left(5\right)\\\mathrm{Simplify}\:\log _{10}\left(z^4\right)\\\log _{10}\left(z^4\right)\\\mathrm{Apply\:log\:rule\:}\log _a\left(x^b\right)=b\cdot \log _a\left(x\right),\:\quad \mathrm{\:assuming\:}x\:\ge \:0\\=4\log _{10}\left(z\right)\\$

Answer: $4\log _{10}\left(z\right)-\log _{10}\left(5\right)$

Answer: 4logz−log5

4 0

4 years ago

Mrs. Carpenter received a bill for a car repairs. :Car repairs $134.00: About how much was the oil change if the other repairs w

Kaylis [27]

Answer:

About $32

Step-by-step explanation:

134-102

4 0

3 years ago

Which angle corresponds to 1/6 of a circle? pi/4 pi/6 pi/3 or 180 degrees

Luba_88 [7]

The best and most correct answer among the choices provided by your question is the third choice or letter C "pi/3."

Since 1/6 of a circle = 360/6 = 60 degrees:
60 degrees in radians is pi/3

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

8 0

3 years ago

Write the result of (4+9i)(7-4i) in a+bi form

Serhud [2]

ANSWER

$(4 + 9i)(7 - 4i) = 64 + 47i$

EXPLANATION

The given complex number expression is:

$(4 + 9i)(7 - 4i)$

We expand using the distributive property to get;

$(4 + 9i)(7 - 4i) = 4(7 - 4i) + 9i(7 - 4i)$

$(4 + 9i)(7 - 4i) = 28- 16i + 63i - 36 {i}^{2}$

Recall that,

${i}^{2} = - 1$

Our expression now simplifies to:

$(4 + 9i)(7 - 4i) = 28 + 47i + 36$

$(4 + 9i)(7 - 4i) = 64 + 47i$

4 0

4 years ago

Read 2 more answers

Jethro used dimensional analysis to convert one rate of speed to another. Two of the conversion factors he used are 5280 ft/1 mi

NNADVOKAT [17]

The units of the initial and final rates of speed are;

Initial rate of Speed = ft/hr

Final rate of speed = mi/min

We are told that the conversion factors he used are;

5280 ft/1 mi and 1 hr/60 min

Now, the meaning of 5280 ft/1 mi denotes that;

5280 ft mile is equivalent to 1 mile

This means that the initial distance unit used was ft while the final one was mile

Also, 1 hr/60 min denotes that;

1 hour is equivalent to 60 minutes.

This means that the initial time units used was hour while the final one was minute.

In conclusion, since we know the initial time and distance units used, we can say that the initial rate of speed ft/hr while final speed rate was miles/minutes.

Read more at; brainly.com/question/17734333

3 0

3 years ago