The remainder of the given expression will be 66.
<h3>What is division?</h3>
Division is a method of distributing a group of things into equal parts. It is one of the four basic operations of arithmetic.
The given polynomlal x⁴+3x³-6x²-12x-8 will be divided by x-3 so we need to find the remainder:-
x-3) x⁴+3x³-6x²-12x-8 ( x³-6x²+12x+24
x²-3x³
_______________
6x³-6x²-12x-8
6x³-18x²
________________________
12x²-12x-8
-12x²-36x
_____________________
24x-8
24x-72
_______________________
66
Hence the remainder of the given expression will be 66.
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Answer:
x = 12
Step-by-step explanation:
First you figure out which function your going to use. I notice that from the angle we have 5 which is the opposite side and 23 which is the adjacent side. This means we have to use tangent.
Then set up your equation: tan(x)=5/23. This is because the opposite side is 5 and the adjacent is 23 and it must be set up in that order.
Next get x alone by making the equation: x=tan^-1(5/23).
Then put it into the calculator and round to get 12.
Step-by-step explanation:
By arc sum Postulate of a circle:
2 x + 3x + 4x = 360°
9x = 360°
x = 360°/9
x = 40°
3x = 3* 40° = 120°
By inscribed angle theorem:
By tangent secant theorem:
Since, measure of central angle is equal to the measure of its corresponding minor arc.
By angle sum Postulate of a triangle:
Answer:
888.89 km
Step-by-step explanation:
Write the given question as an equation and solve.
80 km = 0.09 × (what distance)
(80 km)/0.09 = what distance . . . . . divide by the coefficient of the variable
888.89 km ≈ what distance
80 km is 9% of 888.89 km
Suppose you performed a regression analysis. The mse for this scenario is 0.105
Regression is a statistical method used in finance, making an investment, and different disciplines that attempt to determine the electricity and man or woman of the relationship between one established variable (commonly denoted through Y) and a sequence of different variables (called independent variables).
We are able to say that age and peak can be described through the usage of a linear regression version. because someone's peak will increase as age will increase, they have got a linear courting. Regression fashions are commonly used as statistical proof of claims regarding regular statistics.
"Regression" comes from "regress" which in turn comes from Latin "regresses" - to head returned (to something). In that feel, regression is the approach that permits "to head again" from messy, hard-to-interpret data, to a clearer and more significant version.
y ypred (y-ypred)^2
1 1.1 0.01
1.5 1.3 0.04
2.8 3.2 0.16
3.7 3.7 0
The error sum of the square is given by
ESS = (y- )
ESS=0.21
The mean square error is given by
ESS MSE = ESS/dfe
MSE = \frac{0.21}{2}
MSE = 0.105
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