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KATRIN_1 [288]
4 years ago
12

Please show steps for given question in pic​

Mathematics
1 answer:
professor190 [17]4 years ago
6 0

Answer:

a. 2^4 or 16

b. 324

Step-by-step explanation:

a. I think you can take 4 and put it as the exponent using properties of logs. so it becomes ln 2^4

b. you use the same property and get

ln 6^2 + ln 3^2 and use the addition/multiplication property one to combine them and get

ln 6^2 * 3^2

or ln 36 * 9

or ln 324

hopefully that works

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Henry cut a piece of yarn that was 11/6 feet long into two pieces lost two different pairs of fractions that could show the leng
pishuonlain [190]
I need help on that to. We have a test tomorrow and I can't figure it out and I need help:(

3 0
3 years ago
Assume that adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 20. Find the prob
Ipatiy [6.2K]

Answer:

Randomly selected adult has an IQ less than 136 is 0.9641

Step-by-step explanation:

It is given that, it is normal distribution with mean 100 and SD as 20.

So, let's use the formula of z-score

z=\frac{x-mean}{SD}

For this problem,

x= 136

Plug in this value into the formula

z-score=\frac{136-100}{20}

       =1.8

Now, use z-score table to find the probability

Find the corresponding value for the row 1.8 and the column 0.00, we do get 0.9641

So, Randomly selected adult has an IQ less than 136 is 0.9641

3 0
3 years ago
A new car is purchased for 22400 dollars. The value of the car depreciates at 11% per year. To the nearest tenth of a year , how
m_a_m_a [10]

Answer:

t= 12.9 years

Step-by-step explanation:

Value after t years = initial value ( 1 - r )^t

Where,

Value after t years= $5000

Initial value = $22,400

r= depreciation rate = 11%

t= length of time (years)

Value after t years = initial value ( 1 - r )^t

5000 = 22,400 ( 1 - 0.11)^t

5000 = 22,400(0.89)^t

Divide both sides by 22,400

(0.89)^t = 5000 / 22,400

(0.89)^t = 0.2232

Take the log of both sides

t log 0.89 = log 0.2232

t= log 0.2232 / log 0.89

= -0.6513 / -0.0506

= 12.87

t= 12.9 years

5 0
3 years ago
Please help i'm struggling with this!It's urgent!
Zinaida [17]

Answer:

Step-by-step explanation:

Dilation

7 0
3 years ago
What is the equation of the line that passes through the point (-6,6) and has a slope of -5/3?
Harman [31]

Answer: The equation of the line that passes through the point (-6,6) and has a slope of -5/3 is y = -5/3x + -3.96.

Explanation:

y = 6, x = -6

By putting above values in equation (i)

6 = approximately -1.66 (-6) + b

6 = approximately 9.96 + b

approximately -3.96 = b

b = approximately -3.96

y = -5/3x + -3.96

8 0
3 years ago
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