The recursive sequence that would produce the sequence 8,-35,137,… is T(n + 1) = -3 - 4T(n) where T(1) = 8
<h3>How to determine the recursive sequence that would produce the sequence?</h3>
The sequence is given as:
8,-35,137,…
From the above sequence, we can see that:
The next term is the product of the current term and -4 added to -3
i.e.
Next term = -3 + Current term * -4
So, we have:
T(n + 1) = -3 + T(n) * -4
Rewrite as:
T(n + 1) = -3 - 4T(n)
Hence, the recursive sequence that would produce the sequence 8,-35,137,… is T(n + 1) = -3 - 4T(n) where T(1) = 8
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Answer:
Each of the other cats have 45 whiskers on average.
Step-by-step explanation:
Let x represent the average number of whisker of each cat.
We have been given that there are 7 cats in my neighborhood, with an average of 41 whiskers each.
The total number of whiskers of six cats would be
.
Since one of the cats has 17 whiskers, so the total number of whiskers of 7 cats would be 
We will use average formula to solve our given problem.

Upon substituting our given values, we will get:

Let us solve for x.




Switch sides:



Therefore, the each of the other cats have 45 whiskers on average.
In isosceles right triangle, legs are equal. Let each leg is of x units . And the given hypotenuse is 5 square 6. We use pythagorean identity here, which is

Where a=b=x and c= 5 square root 6




And that's the length of both the legs . ANd that's the required answer .
Answer:
9 cm.
Step-by-step explanation:
Let the height of the pyramid be h cm, then the height of the cuboid is (15 - h) cm.
Volume of the pyramid:
= 1/3 * h * s^2 where s is the length of a side of the square base.
= hs^2/3 cm^3
Volume of the cuboid:
= s^2(15 - h).
So we have:
hs^2/ 3 = 300.......................(1)
s^2(15 - h) = 600..................(2)
From equation (1) :
h s^2 = 900
s^2 = 900/h
Now substitute for s^2 in equation (2) :
(900/h)(15 - h) = 600
Multiply through by h:
900(15 - h) = 600h
13500 - 900h = 600h
1500h = 13500
h = 9 cm (answer). brainliest?
Answer: 3/5
Step-by-step explanation: To find the reciprocal of 1 and 2/3, we first need to convert 1 and 2/3 to an improper fraction.
To write a mixed number as an improper fraction, first multiply the denominator times the whole number, then add the numerator.
So here, we multiply the denominator, 3, times the whole number, 1, then we add the numerator. So we have (3 x 1) + 2 or 3 + 2 which is 5.
Now we put our new number over our old denominator and we get 5/3.
However, we're not done yet. We still need to find the reciprocal.
The reciprocal describes a fraction so when we're asked to find the reciprocal of 5/3, we want to switch the numerator and denominator.
So if we switch 5/3, we get the proper fraction 3/5.
Therefore, the mixed number 1 and 2/3 is equivalent to the improper fraction 5/3, and if we switch the top and bottom numbers, we get 3/5.