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Dominik [7]
3 years ago
15

Write down all the even numbers less than 100 that are prime numbers

Mathematics
1 answer:
densk [106]3 years ago
7 0

Answer:

The answer is only 2 because even numbers are divisible by 2, also 2 is a prime number.

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HELP! 2 problems!
Anit [1.1K]

Answer:

 x=4   (solution)                             x=-14             (extraneous solution )

Step-by-step explanation:

|x+5|=9 -------original equation

Equation can be equal to +9   and -9

x+5 =9                           x+5 =-9

x= 9-5                            x=-9-5

 x=4   (solution)                             x=-14             (extraneous solution )

                                       

for checking  

x+5 = 9                                            x + 5=9

4+5= 9                                             -14+5=9

9=9                                                    -9=-9                                

8 0
3 years ago
If f is a differentiable function, find an expression for the derivative of each of the following functions
almond37 [142]

12a. Answer:  d) x⁶ f'(x) + 6x⁵ f(x)

<u>Step-by-step explanation:</u>

Use the multiplication formula for derivatives:

y = a · b       →     y' = a'b + ab'

<u>y = x⁶ · f(x)     </u>  

a = x⁶          b = f(x)

a' = 6x⁵       b' = f'(x)

<u>y' = a'b + ab'</u>

y' = 6x⁵ f(x) + x⁶ f'(x)

***************************************************************

12b. Answer:  \bold{b)\ y=\dfrac{xf'(x)-9f(x)}{x^{10}}'}

<u>Step-by-step explanation:</u>

Use the division formula for derivatives:

y=\dfrac{a}{b}       →     y' = \dfrac{a'b - ab'}{b^2}

y=\dfrac{f(x)}{x^9}\\\\a=f(x)\qquad b=x^9\\\\a'=f(x)\qquad b'=9x^8\\\\y'=\dfrac{a'b-ab'}{b^2}\\\\y'=\dfrac{x^9f'(x)-9x^8f(x)}{(x^9)^2}\\\\.\ =\dfrac{x^9f'(x)-9x^8f(x)}{x^{18}}\\\\\text{factor out }x^{8}: y'=\dfrac{xf'(x)-9f(x)}{x^{10}}

Note: You can also move the denominator to the top (it will have a negative exponent) and use the multiplication formula for derivatives.

5 0
3 years ago
The ratio of the number of hamsters to the number of mice in a pet store is 3 to 2. How many hamsters are there, if there are 12
aleksandrvk [35]

Answer:

18

Step-by-step explanation:

you can do 12/2 to get 6 (the scale factor) and then multiply 3 by 6 and get 18

6 0
3 years ago
10^7+9+1^3<br> Found it on khan
ryzh [129]
It would be 10000010. Have a good day
5 0
3 years ago
you need 3 sticks of butter for every 24 cookies you bake how many sticks of butter do you need for 16 cookies
ahrayia [7]

Answer: 2

Step-by-step explanation:

24 divided by 3 is 8 so 1 stick of butter makes 8 cookies so 2 sticks of butter make 16 cookies(2 x 8)

6 0
4 years ago
Read 2 more answers
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