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yaroslaw [1]
3 years ago
14

Im Triggered Pls Dont DELETE!

Mathematics
2 answers:
Alex777 [14]3 years ago
8 0

2ex + 10x

The derivative is 2e + 10

stepladder [879]3 years ago
7 0

I'm assuming you mean f(x) = (e^x + 5x)^2, not f(x) = (e x + 5x)2, like your prompt suggests.


First, let's figure out what rule we can use. A likely noticeable one is the Power Rule, which says the following:

\dfrac{d}{dx} [u^a] = a(u)^{a-1} du


Applying this, we can solve for the derivative:

f'(x) = 2(e^x + 5x) (e^x + 5)

  • Apply the Power Rule

While you can simplify the expression to your liking, I believe that this form is not overly complex and will thus leave it as is.


Thus, our answer is:

f'(x) = \boxed{2 (e^x + 5x)(e^x + 5)}

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3. The average distance from the sun to the planet Jupiter is about 483,800.000. The average
MArishka [77]

Answer:

The answer to your question is:

a) sun to jupiter =  4.838 x 10 ⁸ miles

   sun to earth = 9.296 x 10 ⁷ miles

b) 5.2 times

Step-by-step explanation:

distance sun to jupiter = 483 800 000 miles

distance sun to earth = 92 960 000 miles

a)

      sun to jupiter =  4.838 x 10 ⁸ miles  just move the decimal point eight places to the left.

      sun to earth = 9.296 x 10 ⁷ miles   just move the decimal point seven places to the left.

b)

divide distance sun to jupiter by distance sun to earth =

                                  = 4.838 x 10 ⁸ / 9.296 x 10 ⁷

                                 

First divide   4.838 by 9.296    or   4.838 / 9.296 = 0.52

Then we substract the powers:  8 minus 7  or 8 -7 = 1

So we get              0.52 x 10¹  or 0.52 x 10 = 5.2 times

5 0
3 years ago
Write a series of rigid motions that transform pentagon ABCDE to pentagon A′B′C′D′E′
worty [1.4K]

Answer:

We need the following three rigid motions:

i) Reflection around y-axis, ii) Translation three units in the -y direction, iii) Translation four units in the -x direction.

Step-by-step explanation:

We need to perform three operations on pentagon ABCDE to create pentagon A'B'C'D'E':

i) Reflection around y-axis:

(x',y') = (-x,y) (Eq. 1)

ii) Translation three units in the -y direction:

(x'',y'') = (x', y'-3) (Eq. 2)

iii) Translation four units in the -x direction:

(x''',y''') = (x''-4, y'') (Eq. 3)

We proceed to proof the effectiveness of operations defined above by testing point D:

1) D(x,y) = (-1, 4) Given.

2) (x',y') = (1,4) By (Eq. 1)

3) (x'',y'') = (1, 1) By (Eq. 2)

4) D'(x,y) = (-3,1) By (Eq. 3)/Result

7 0
3 years ago
Only 3 alligators can Set at the round table
user100 [1]
What is the problem? I don't understand
8 0
3 years ago
Somebody explain pls!!!!!
Furkat [3]

Step-by-step explanation:

Using log properties

log_{7}(rz {}^{12} )

log_{7}(r)  +  log_{7}(z {}^{12} )

Then

log_{7}(r)  + 12 log_{7}(z)

Plug in the knowns

- 7.87 + 12( - 12.59)

- 158.95

5 0
1 year ago
Which polynomial action could be represented by the graph below?
Anastasy [175]
I think it’s gas because it look a like it
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