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Anna007 [38]
3 years ago
11

Can someone explain to me this derivative : y=3x√x

Mathematics
1 answer:
dimaraw [331]3 years ago
6 0

Answer:

(9/2)√x.

Step-by-step explanation:

Convert the radical to an exponent.

x√x = x^1 * x^1/2

= x^(1 + 1/2)

= x^3/2

So the derivative of 3x^3/2 is found as follows:

y' = 3 * 3/2x^(3/2 - 1)

= (9/2)x^1/2

= (9/2)√x.

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Help please!! I will mark brainilist and give a lot of points.
julia-pushkina [17]

Answer:

a = 23.588

Step-by-step explanation:

a^2 = 17 1/3^2 + 16^2

a^2 = 300.4 + 256

a^2 = 556.4

a = 23.588 (I rounded to thousandths but you can round to whatever)

8 0
2 years ago
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Many studies have found an association between red meat consumption and an increased risk of chronic diseases. What is the relat
hoa [83]

Answer:

1. This is an observational study.

2. The explanatory variable is A. red meat consumption

3. The response variable is B. Whether or not a subject dies.

Step-by-step explanation:

1. An observational study is a type of study where the researcher would observe the effects and he would also make no attempt to change the outcome

2. The explanatory variable is also called the independent variable and in this case it is red meat consumption because it is what would be used to predict the dependent variable

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5 0
3 years ago
Simplify (3s^8)^-5 write your answer using only positive exponents. help please!!
loris [4]

Answer:

1 / ( 243s^40 )

Step-by-step explanation:

For this problem, we need to know that a negative exponent simply can be rewritten in the opposing part of the fraction, for this case, the denominator.  So we can simplify as shown:

(3s^8)^-5

= 1 / (3s^8)^5

= 1 / 3^5 * s^8^5

= 1 / 243 * s^40

= 1 / ( 243s^40 )

Cheers.

3 0
2 years ago
Rate con<br>Show step by step and ASAP
Katarina [22]
You just use what you already know. You know that 1 week is equal to 7 days so you just do 1 * 7 = 7 or 1 week. Then 54 * 7 = 378
8 0
3 years ago
How do you write 0.045 as a reduced fraction
Anvisha [2.4K]
0.045 = 45/1000

Divide top and bottom by their greatest common factor.
It looks to me as though the greatest common factor of  45  and  1,000  is  5 .
Divide top and bottom by  5  and we have  <u>9/200</u> .  That's the simplest form.
6 0
2 years ago
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