To find the number of words she can read per minute, we would do 560 divide by 7 minutes
560/7 = 80 words per minute
Hope this helps
        
                    
             
        
        
        
Hello from MrBillDoesMath!
Answer:
Solutions: x = +\- 5i or x = +\- sqrt(5) 
Discussion:
Factor x^4 - 25:
x^4 - 25     = (x^2+5) (x^2-5)                              =>  factor x^2 - 5
x^4 - 25 =   (x^2+5)(x + sqrt(5)) (x - sqrt(5))       => factor x^2 + 5
x^4 = 25  = (x +5i)(x-5i) (x + sqrt(5)) (x - sqrt(5))   
Hence the solutions are
x = +\- 5i and x = +\- sqrt(5) 
Thank you,
MrB
 
        
             
        
        
        
Answer is 12240 watts of power that a 12 square meter solar panel absorb. 
        
                    
             
        
        
        
Answer:
(a) B. G(x) is an antiderivative of f(x) because G'(x) = f(x) for all x.
(b) Every function of the form  is an antiderivative of 8x
 is an antiderivative of 8x
Step-by-step explanation:
A function <em>F </em>is an antiderivative of the function <em>f</em> if

for all x in the domain of <em>f.</em>
(a) If  , then
, then  is an antiderivative of <em>f </em>because
 is an antiderivative of <em>f </em>because

Therefore, G(x) is an antiderivative of f(x) because G'(x) = f(x) for all x.
Let F be an antiderivative of f. Then, for each constant C, the function F(x) + C is also an antiderivative of <em>f</em>.
(b) Because

then  is an antiderivative of
 is an antiderivative of  . Therefore, every antiderivative of 8x is of the form
. Therefore, every antiderivative of 8x is of the form  for some constant C, and every function of the form
 for some constant C, and every function of the form  is an antiderivative of 8x.
 is an antiderivative of 8x.
 
        
             
        
        
        
Answer:
a)148.47
b)148.34
Step-by-step explanation:
Let π(x) be the prime-counting function that gives the number of primes less than or equal to x, for any real number x. For example, π(7) = 4 because there are four prime numbers (2, 3, 5, 7) less than or equal to 7.
We can see that π(7)=π(10) because there are four prime numbers (2,3,5,7) less than or equal to 10.
A good aproximation for π(x) is x / log x, where log x is the natural logarithm of x.
a)The number of primes between 1 and 1030.
1030/log(1030)=148.47
b) The number of primes between 1 and 1029.
1029/log(1029)=148.34
  Extra: π(1029)=π(1030) because 1030 is not a prime.