Answer:
rectangle
Step-by-step explanation:
ANSWER
When 
is written in the form 
, it looks like 
EXPLANATION
To write in the form , we have to complete the squares.
We add and subtract half the coefficient of 
square.
The first three terms of the function is now a perfect square.
We now simplify rto obtain,
Total distance walked by Tarik is 0.75 miles according to the given equation.
What is equation?
In arithmetic, an equation could be a formula that expresses the equality of 2 expressions, by connecting them with the sign =.
Main body:
Given that
The expression that represents the Tarik's distance is
=> f(x) = 3∣x−0.5∣
And also given that at 7.15 am he is some distance away from the store
Let Tarik is 'a' miles away from the store at 7.15 am
The time taken to walk 'a' miles = 7.15 - 7.00 = 15 minutes
As we know 60 minutes = 1 hr
=> 15 minutes = 15/60 = 0.25 hrs
The given expression to find the Distance is
f(x) = 3 ∣x − 0.5∣ where x is number of hours
At x = 0.25
f(0.25) = 3 |0.25 - 0.5|
= 3 |- 0.25|
= 0.75 miles
Therefore,Tarik is 0.75 miles away from the store.
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Answer:
<h2>
$5.03</h2>
Step-by-step explanation:
Given data
Sample Mean (M): $48.77
Sample Size (n): 20
Standard Deviation (σ) : $17.58
Confidence Level: 80%
we know that z*-Values for 80% Confidence Levels is 1.28
the expression for margin of error is given bellow\
MOE= z*σ/√n
We can now substitute into the expression and solve for the MOE as
MOE= 1.28*17.58/√20
MOE= 22.502/4.47
MOE= 22.502/4.47
MOE= 5.03
The margin of error for a 80 % confidence interval is $5.03
The correct answer is option B which is the volume of the prism is 216 km³.
<h3>What is the volume of the prism?</h3>
A prism is a three-dimensional solid with a triangular base called a triangular prism. The volume of the triangular prism is equal to the product of the area of the base and the height of the prism.
The volume of the prism will be calculated by using the formula below:-
V = Area of the base x Height
Since the base is a right-angle triangle so we will calculate the area of the right-angle triangle.
V = Area of the triangle x Height
V = ( 1/2 ) x 8 x 6 x ( 9 )
V = 216 km²
Therefore the correct answer is option B which is the volume of the prism is 216 km³.
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