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3 years ago

Which expression uses the associative property to make it easier to evaluate

Mathematics

1 answer:

sp2606 [1]3 years ago

3 0

The answer is A 6 ()

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(b+3g)a=9. Solve for a

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A= ______

b+3g

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2 years ago

Which statement must be true?

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SIZIF [17.4K]

Answer:

5, 6 and 9 , 10 so E and F.

Step-by-step explanation:

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2 years ago

Find which term in the geometric sequence 1,3,9,27,... is the first to exceed 7,000.

Zielflug [23.3K]

The common ratio between terms is 3, so the sequence has general $n$ -th term

$a_n=3^{n-1}$

for $n\ge1$ . The term exceeds 7000 when

$3^{n-1}>7000\implies n-1>\log_37000\implies n>1+\log_37000\approx9.06$

which means the first time $a_n$ exceeds 7000 occurs when $n=10$ . Indeed,

$a_{10}=3^{10-1}=19,683$

while the previous term would have been

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3 years ago

A transformer increases the input voltage from 12V to 12,000V. What is the ratio of the number of wire turns on the primary coil

erma4kov [3.2K]

Answer:

$\frac{n_p}{n_s}=\frac{1}{1000}$

Step-by-step explanation:

Given voltage of primary coil is $V_p=12V$

And voltage of secondary coil is $V_s=12,000V$

A transformer is a device that contains primary and secondary coil. These coils are mounted on soft iron. The change in voltage depends upon the number of turns of primary coil $(n_p)$ and secondary coil $(n_s)$ .

Following equation represents the relation between them.

$\frac{V_s}{V_p} =\frac{n_s}{n_p}\\\\\frac{12,000}{12}=\frac{n_s}{n_p}\\\\1000=\frac{n_s}{n_p}$

Then, ratio of the number of wire turns on the primary coil to the number of turns on the secondary coil is

$\frac{n_p}{n_s}=\frac{1}{1000}$

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3 years ago