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3 years ago

Logarithms (Please do what the question is asking)

Mathematics

1 answer:

svet-max [94.6K]3 years ago

4 0

Answer: 1) 2.059

2) 3.220

Step-by-step explanation:

1) log₆ 40

= log₆(5 x 8)

= log₆5 + log₆8

= 0.898 + 1.161

= 2.059

2) log₆ 320

= log₆ (40 x 8)

= log₆40 + log₆8

= 2.059 + 1.161

= 3.220

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6. Identify the recursive formula for the sequence 3, –15, 75, –375, . . .

vlada-n [284]

Answer:

first option

Step-by-step explanation:

There is a common ratio r between consecutive terms in the sequence, that is

r = - 15 ÷ 3 = 75 ÷ - 15 = - 375 ÷ 75 = - 5

The recursive formula allows a term in the sequence to be found by multiplying the previous term by r , thus

f(n) = - 5f(n - 1) if n > 1

with f(1) = 3 ← first term

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4 years ago

What does |x|=4 equal

Vsevolod [243]

Answer:

x=-4 and x=4

Step-by-step explanation:

|x|= 4

the lines surrounding x means the x is positive and negative.

-x=4 and x=4

x=-4 and x=4

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3 years ago

I need help with 3 math questions, please! 15 points!

GaryK [48]

3. The answer should be : Yes, the number is written in scientific notation.
4. the answer is : Yes, the number is written in scientific notation.
5. The answer is option 3

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3 years ago

The ratio of boys to girls at a movie is 4:7. If there are 21 girls, how many boys are at the movie?

GaryK [48]

Answer:

12 boys

Step-by-step explanation:

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3 years ago

A boat traveled 37 miles in 2 hours. At this rate, how many miles will the boat travel in

Inessa [10]

Answer:

i. The boat will travel 18.5 miles in one hour

ii. The boat will travel 9.25 miles in half an hour

iii. The boat will travel 27.75 miles in one and a half hours

Explanation:

We are given that the boat travel 37 miles in 2 hours

To get the miles traveled, we can simply use cross multiplication

i. Miles traveled by the boat in one hour:

37 miles .....................> 2 hours

x miles ........................> 1 hour

$x = \frac{37*1}{2}=18.5$ miles

ii. Miles traveled in half an hour:

37 miles .....................> 2 hours

x miles ........................> 0.5 hour

$x = \frac{37*0.5}{2}=9.25$ miles

iii. Miles traveled in an hour and a half:

37 miles .....................> 2 hours

x miles ........................> 1.5 hour

$x = \frac{37*1.5}{2}=27.75$ miles

Hope this helps :)

8 0

4 years ago