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garri49 [273]
3 years ago
12

If f(x) = (5x^3 - 4)^4, then what is f '(x)?

Mathematics
1 answer:
vlabodo [156]3 years ago
4 0
You apply the rule to put the exponent in front, and lower it by one. But since this is a nested expression, you apply it twice:

4*(5x^3-4)^3 * 3*5x^2 =

60x^2 (5x^3-4)^3
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Can somebody help answer all these right plz!<br> (WILL MARK BRAINLIEST)<br> Thanks!
attashe74 [19]

Answer:

22.8, 28, 3, 12.2, 31.5, 6

Step-by-step explanation:

15.

17-(4.4/2)+8

17-(2.2)+8

25-2.2

22.8

16.

(7^2-7)/3*2

(49-7)/3*2

42/3*2

14*2

28

17.

14/2-16/4

7-4

3

18.

3.2+3*6/2

3.2+18/2

3.2+9

12.2

19.

7*.3*(8.1+6.9)

2.1*(15)

31.5

20.

11-(7.6+7.4)/5

11-(15)/3

11-5

6

Hope it helped!

8 0
2 years ago
Read 2 more answers
How to solve In 14 + In x = 0
EastWind [94]

Answer:

x = 1/14

Step-by-step explanation:

You can work it as is by subtacting ln(14), then taking antilogs:

ln(x) = -ln(14)

x = 14^-1

x = 1/14

___

Or you can rewrite to a single log and then take antilogs:

ln(14x) = 0

14x = 1

x = 1/14 . . . . . divide by the coeffient of x

7 0
2 years ago
I need help on this math problem.!!
vodomira [7]

x = 95°

the polygon has 5 sides so you do n - 2 which is (number of sides - 2) this gives us 3. now multiply 3 times 180, this gives us 540. now add up all the sides that you know, 104, 117, 100, 124, this is 445 now subract 445 from 540 and that is what gives us 95°

6 0
3 years ago
Read 2 more answers
Kalo randomly surveyed 25 students at his school and found that 19 of them have at least one sibling. Based on these data, how m
TEA [102]

Answer:

95 students

Step-by-step explanation:

25 students -- 19 have sibling

1 student -- (19/25)

125 students -- (19/25) * 125 = 95

Therefore, 95 students out of 125 are expected to have at least one sibling.

Thenks and mark me brainliest :))

8 0
2 years ago
Read 2 more answers
John has two jobs. For daytime work at a jewelry store he is paid
djyliett [7]

Given Information:

John's mean monthly commission = μ = $10,000

Standard deviation of monthly commission = σ =  $2,000

Answer:

P(9,000 < X < 11,000) = 0.383\\\\P(9,000 < X < 11,000) = 38.3 \%

The probability that John's commission from the jewelry store is  between $9,000 and $11,000 is 38.3%

Step-by-step explanation:

What is Normal Distribution?

We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.  

We want to find out the probability that John's commission from the jewelry store is  between $9,000 and $11,000?

P(9,000 < X < 11,000) = P( \frac{x - \mu}{\sigma} < Z < \frac{x - \mu}{\sigma} )\\\\P(9,000 < X < 11,000) = P( \frac{9,000 - 10,000}{2,000} < Z < \frac{11,000 - 10,000}{2,000} )\\\\P(9,000 < X < 11,000) = P( \frac{-1,000}{2,000} < Z < \frac{1,000}{2,000} )\\\\P(9,000 < X < 11,000) = P( -0.5 < Z < 0.5 )\\\\P(9,000 < X < 11,000) = P( Z < 0.5 ) - P( Z < -0.5 ) \\\\

The z-score corresponding to 0.50 is 0.6915

The z-score corresponding to -0.50 is 0.3085

P(9,000 < X < 11,000) = 0.6915 - 0.3085 \\\\P(9,000 < X < 11,000) = 0.383\\\\P(9,000 < X < 11,000) = 38.3 \%

Therefore, the probability that John's commission from the jewelry store is  between $9,000 and $11,000 is 38.3%

How to use z-table?

Step 1:

In the z-table, find the two-digit number on the left side corresponding to your z-score. (e.g 1.4, 2.2, 0.5 etc.)

Step 2:

Then look up at the top of z-table to find the remaining decimal point in the range of 0.00 to 0.09. (e.g. if you are looking for 0.50 then go for 0.00 column)

Step 3:

Finally, find the corresponding probability from the z-table at the intersection of step 1 and step 2.

4 0
3 years ago
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