Answer:
4
Step-by-step explanation:
-8+12=4
4-12=-8
Answer:
A. The explanatory variable is the number of items viewed. This explanatory variable is quantitative.
Step-by-step explanation:
The variable that we can change is called the Explanatory Variable.
The Response variable depends upon the explanatory variable, as we change the value of the explanatory variable the value of the response variable is also get changed.
When the data is in the form of numeric, it is called quantitative.
When the data is not in the numeric form, it is called qualitative.
Here, we have to determine which web page design is better and it depends on the number of the item viewed by a visitor to that site.
Thus, the Explanatory variable is the "number of items viewed".
and the number of items viewed is numeric data, so it is quantitative.
Hence, option (A) is correct.
Distance of Sun and Mercury = 58,000,000 km.In Scientific notation, it would be: 5.8 × 10⁷ Km
Diameter of a human hair = 0.0025 cmIn scientific notation, it would be: 2.5 × 10⁻³ cm
Before Comparison, we need to bring cms to Kms or vice-versa, so we can easily calculate then, here, we will go from cm to Km.2.5 × 10⁻³ × 10⁻⁵ Km = 2.5 × 10⁻⁸
Now, we can compare the values, 5.8 × 10⁷ Km > 2.5 × 10⁻⁸
[ reason. - power of a smaller number is in negative, it means, it is denominator, which would be very small as compared to other ]
Hope this helps!
Answer:
x= 0 , 
, 
Step-by-step explanation:
Given, equation is ![\sqrt[3]{15x-1}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B15x-1%7D)
+ ![\sqrt[3]{13x+1}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B13x%2B1%7D)
= ![4\sqrt[3]{x}](https://tex.z-dn.net/?f=4%5Csqrt%5B3%5D%7Bx%7D)
. →→→ (1)
Now, by cubing the equation on both sides, we get
( + )³ = ()³
⇒ (15x-1) + (13x+1) + 3×× ( + ) = 64 x.
⇒ 28x + 3×× () = 64x.
(since from (1), + = )
⇒ 12× × (![\sqrt[3]{x}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%7D)
)= 36x.
⇒ 3x = ![\sqrt[3]{(15x-1)(13+1)(x)}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%2815x-1%29%2813%2B1%29%28x%29%7D)
.
Now, once again cubing on both sides, we get
(3x)³ = ()³.
⇒ 27x³ = (15x-1)(13x+1)(x).
⇒ 27x³ = 195x³ + 2x² - x
⇒ 168x³ + 2x² - x = 0
⇒ x(168x² + 2x -1) = 0
⇒ by, solving the equation we get ,
x = 0 ; x = ; x =
therefore, solution is x= 0 , ,
Answer:
A square has 4 sides with equal length.
So the perimeter of a square is equal to 4 times the length of one side.
Now, suppose that we know that the length of one side of the garden is x.
Then the total length of the fence that surrounds the square is:
L = 4*x.
Now let's define proportional quantities:
x and y are proportional quantities if:
x = k*y
where k is a constant of proportionality.
In the case of our problem, we have a relation between L (total length of the fence) and x (length of one side of the garden)
L = 4*x
This is a proportional relation, and 4 is the constant of proportionality.
