x=10
Step-by-step explanation:
10 times -4 is -40 since if you multiply a negative number by a positive you get a negative
Let the first integer be 
. So, the next even number is 
Let's translate the formula: the square of the second is 
, twice the first is 
. So, the equation is
Expand the square to get
The solutions to this equations are
So, the possible consecutive even numbers are
Answer:
Step-by-step explanation:
No idea what a gouilleul Sequence is, but hopefully it will help to show how I would find the answer.
A geometric sequence means a term is multiplied by something over and over So say we start with 100 and the common ratio is .5 then the sequence would go 100,50,25,12.5,6.25 and so on. Another way of writing it is:
100*.5^0 = 100
100*5^1 = 50
100*.5^2 = 100*.25 = 25
and so on.
ANyway, here we have the first and fourth term. so that's 3.5*x^0 and 3.5*x^3. Keep in mind the exponent will be n-1 when the term you want to find is the nth term. Anyway, we know 3.5*x^3 = 28, so we just use algebra to find x, which is the common ratio.
3.5*x^3 = 28
x^3 = 8
x = 2
So the common ratio is 2, or in other words it keeps doubling. You could try it real quick, keep doubling the starting term 3.5
3.5, 7, 14, 28 and 28 is the fourth term.
So we know the common ratio. you could just add the four terms listed then for part b, but there is an equation, for in case they ask you to find the sum of say the first 100 terms. that wouldn't be fun. Anyway, the formula is a((1-r^n)/(1-r)) where a is the starting term, r is the common ratio and n is the number term. In your case that's 3.5((1-2^4)/(1-2)) = 52.5. You can actually check since it's only 4 terms. 3.5 + 7 + 14 + 28 = 52.5.
If you want to know how that formula was gotten let em know and I can explain or give a link to a video or something to show.
She has five dimes and seven nickels with a total of $.85
I have the answer for the first question, the second one idk how to do. To solve mean add all the numbers and divide by how many there are. 300/5 = 60 so that is the mean. For standard deviation subtract mean from every number in the list and square it. 225, 100,0, 25, and 225. Average these numbers and you will get the standard deviation of 115. Im sorry I cant do the second question but I hope this helped for the first one.
