Evaluating numeric expressions 16^5/4X16^1/4/(16^1/2)^2=?
2 answers:
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For this case we propose a rule of three according to the data of the statement. To do this, we convert the mixed number into an improper fraction:
cups
4 ---------->
10 ----------> x
Where the variable "x" represents the amount of chopped of vegetables needed for 10 people.
This is equivalent to cups.
Answer:
cups
Answer:
The height of the pole is 167 m
Step-by-step explanation:
The given parameters are;
Increase in the length of the shadow = 90 m
Initial angle of elevation of the Sun = 58°
Final angle of elevation of the Sun = 36°
We have a triangle formed by the change in the length of the shadow and the rays from the two angle of elevation to the top of the pole giving an angle 22° opposite to the increase in the length of the shadow
We have by sin rule;
90/(sin (22°) = (Initial ray from the top of the pole to the end of the shadow's length)/(sin(122°)
Let the initial ray from the top of the pole to the end of the shadow's length = l₁
90/(sin (22°) = l₁/(sin(122°)
l₁ = 90/(sin (22°) ×(sin(122°) = 283.3 m
Therefore;
The height of the pole = 283.3 m × sin(36°) = 166.52 m
The height of the pole= 167 m to three significant figures.
Answer:
The domain of f(x) is {x : x ∈ R} and the range is {y : y ≥ -8}
Step-by-step explanation:
- The domain of the function is the values of x which make the
function defined
- The rang is the corresponding values of y with the domain
- The parent function of f(x) is g(x) = IxI
- The graph of this function represented by 2 lines starting from
the origin, one of them with positive slope and the other with negative
slope and both of them over the x-axis
- The Domain of g(x) is {x : x ∈ R} where R is the set of real numbers
- That mean the domain of g(x) is all real numbers
- The range of g(x) is {y : y ≥ 0}
- That mean the range is all real numbers greater than or equal to zero
- f(x) is the image of g(x) after some transformations
- g(x) multiplied by 2 that mean vertical stretch.
- Then x add by 2 that mean horizontal translation to the left by 2 units
- Then subtract 8 from it means vertical translation down by 8 units
- The figure of f(x) is the same lines but stretched vertically away from
x-axis and moved to the left 2 units and down 8 units
- That means the image of the origin is (-2 , -8)
- So the domain does not change it is the all real numbers
- The domain of f(x) is {x : x ∈ R}
- But the range changes is because the graph of the function starts
from -8 not from 0
- Then the range of f(x) is {y : y ≥ -8}
* The domain of f(x) is {x : x ∈ R} and the range is {y : y ≥ -8}
- <em>Look to the attached graph for more understand</em>
