Answer:
a) response variable
Step-by-step explanation:
The response variable is the variable that depends on other variables such as the independent or explanatory variable, it is the variable that is being tested. The response variable is also called the dependent variable.
In linear regression, the y variable is referred to as the response variable while the x variable is referred to as the explanatory or independent variable.
In this case the y variable is "the number of times they cough in a day" and this variation depends on the x variable "number of cigarettes a person smokes in a day".
<span>the line over the 28 means the 28 repeats forever.
1.282828.... and so on
let x be the rational number 1.28...
we can use this trick:
100*1.282828....= 128.282828... (the decimal 28 part repeats)
100x = 128.28...
next:
100x - x = 128.282828... - 1.282828...
the .282828... part will be subtracted away
99x = 127
divide both sides by 99 to get
x= 127/99</span>
Step-by-step explanation:
2x^2+7x-3=0
by doing splitting the middle term we get/ <u>using quadratic eq we get-</u>
Let's solve your equation step-by-step.
2x2+7x−3=0
For this equation: a=2, b=7, c=-3
2x2+7x+−3=0
Step 1: Use quadratic formula with a=2, b=7, c=-3.
x=
−b±√b2−4ac
2a
x=
−(7)±√(7)2−4(2)(−3)
2(2)
x=
−7±√73
/4
x=
−7
4
+
1
4
√73 or x=
−7
4
+
−1
4
√73
Answer:
x=
−7
4
+
1
4
√73 or x=
−7
4
+
−1
4
√73
please mark me as the brainliest:)
Answer:
261.98 is the value of the given expression.
Step-by-step explanation:
We have to find the value of the following expression:
Using the associative property, we can write and solve the given expression as:
Rounding off the answer, we get,
Thus, 261.98 is the value of the given expression.
Answer:
The equivalent expression to the given expression is ![\sqrt[3]{32x^8y^{10}}=2x^2y^3\sqrt[3]{4x^2y}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B32x%5E8y%5E%7B10%7D%7D%3D2x%5E2y%5E3%5Csqrt%5B3%5D%7B4x%5E2y%7D)
Step-by-step explanation:
The given expression is ![\sqrt[3]{32x^8y^{10}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B32x%5E8y%5E%7B10%7D%7D)
To find the equivalent expression:
![\sqrt[3]{32x^8y^{10}}=(32x^8y^{10})^{\frac{1}{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B32x%5E8y%5E%7B10%7D%7D%3D%2832x%5E8y%5E%7B10%7D%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D)
We may write the above expression as below:
(using square root properties)
![=(2\sqrt[3]{4})(x^2\sqrt[3]{x^2})(y^3\sqrt[3]{y})](https://tex.z-dn.net/?f=%3D%282%5Csqrt%5B3%5D%7B4%7D%29%28x%5E2%5Csqrt%5B3%5D%7Bx%5E2%7D%29%28y%5E3%5Csqrt%5B3%5D%7By%7D%29)
(combining the like terms and doing multiplication )
![=2x^2y^3\sqrt[3]{4x^2y}](https://tex.z-dn.net/?f=%3D2x%5E2y%5E3%5Csqrt%5B3%5D%7B4x%5E2y%7D)
Therefore
Therefore the equivalent expression to the given expression is
