38) -first you have to subtract 4-2=2
-then solve for 2^5=32
-subtract 32-20=12
-and finally multiply 12*3=36
40) -you have to solve for the numerator and denominator first
-the denominator is simple because you just have to do 2^3 which is 8
-to solve for the numerator you have to do what's in the parentheses first (3^4-7^2) which gives you 32
-the equation you should have now is 22+1^3+32 all divided by 8
-1^3 just equals 1and then you just solve for the numerator
-to solve for the numerator you have to add 22+1+32 which gives you 55 as the numerator
-since 55 cannot be divided by 8, your answer will be 55/8 or 6.875
42) -first you have to solve for the parentheses in the brackets so solve for (67-2^6) which equals to 3
-now your numerator should look like this: 2[8+(3)^3]
-you have to solve for 3^3 which is 27
-now you solve what you have left in the brackets [8+27] =35
-multiply 2*35 which gives you 70
-70 cannot be divided by 9 so your answer is 70/9 or 7.777777778
The recursive formula of the explicit rule an = (n + 1)² is
where a1 = 4
<h3>How to determine the recursive formula?</h3>
The explicit formula is given as:
an = (n + 1)²
This means that:
a1 = (1 + 1)² = 4
a₂ = (2 + 1)² = 9
a₃ = (3 + 1)² = 16
Rewrite as:
a₂ = 4 + 2 * 2 + 1 = 9
a₃ = 9 + 2 * 3 + 1 = 16
Substitute a₂ = 9
a₃ = a₂ + 2 * 3 + 1 = 16
Express 2 as 3 - 1
a₃ = a₃₋₁ + 2 * 3 + 1
Express 3 as n

Evaluate the product

Hence, the recursive formula of the explicit rule an = (n + 1)² is
where a1 = 4
Read more about explicit rules at:
brainly.com/question/1275192
#SPJ4
Answer:
The lengths of the three sides are 10 cm, 9.49 cm and 3.16 cm
Step-by-step explanation:
Let
c ------> the length of the hypotenuse of a right triangle
x -----> the length of one leg
y -----> the length of the other leg
we know that
-----> equation A (Pythagoras Theorem)
----> equation B
-----> equation C
Substitute equation B and equation C in equation A and solve for y





Find the value of x
therefore
The lengths of the three sides are 10 cm, 9.49 cm and 3.16 cm
Answer:
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