Answer:
17
Step-by-step explanation:
Answer:
Option D, there are no solutions
Answer:
36
Step-by-step explanation:
Okay! This question is a very simple one, but without a calculator, your answer could easily vary from others! So, let´s do this one together!
The equation:
0.810x0.00048/0.000400x0.027
Let´s do the top :
0.810 x 0.00048 = 0.0003888
I will leave these numbers the same until the last part, lets not round them.
Bottom:
0.0004 x 0.027 = 0.0000108
And again I am not going to round this number.
Now we can divide!
0.0003888/0.0000108 = 36
I hope this helped!
Part A: To find the lengths of sides 1, 2, and 3, we need to add them together. We can do this by combining like terms (terms that have the same variables, or no variables).
(3y² + 2y − 6) + (3y − 7 + 4y²) + (−8 + 5y² + 4y)
We can now group them.
(3y² + 4y² + 5y²) + (2y + 3y + 4y) + (-6 - 7 - 8)
Now we simplify
12y² + 9y - 21
Part B: To find the length of the 4th side, we need to subtract the combined length of the 3 sides we know from the total length (perimeter).
(4y³ + 18y² + 16y − 26) - (12y² + 9y - 21)
Simplify, subtract like terms.
4y³ + (18y² - 12y²) + (16y - 9y) + (-26 + 21)
4y³ + 6y² + 7y - 5 is the length of the 4th side.
Part C (sorry for the bad explanation): A set of numbers is closed, or has closure, under a given operation if the result of the operation on any two numbers in the set is also in the set.
For example, the set of real numbers is closed under addition, because adding any two real numbers results in another real number. Likewise, the real numbers are closed under subtraction, multiplication and division (by a nonzero real number), because performing these operations on two real numbers always yields another real number.
<em>Polynomials are closed under the same operations as integers. </em>
To calculate the sum of the first thirteen terms of the geometric series, we use the formula below.
Formula:
- S₁₃ = a(rⁿ-1)/(r-1).............. Equation 1
Where:
- S₁₃ = Sum of the first thirteen terms of the geometric series.
- a = First term of the series
- r = Common ratio
Given:
Substitute these values into equation 1
- S₁₃ = -10(3¹³-1)/(3-1)
- S₁₃ = -7971615
