PLEASE HELP A cylinder and a cone have congruent heights and radii. What is the ratio of the volume of the cone to the volume of
1 answer:
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We have that
f(x)=(x-4)^2-1 in the question and f(x)=-(x-4)^2-1 in the picture
<span>so
</span><span>I'm going to analyze the two cases
</span><span>
using a graph tool
case 1)
</span>f(x)=(x-4)^2-1<span>
the vertex is the point (4,-1)
the x intercepts are the points (3,0) and (5,0)
the y intercept is the point (0,15)
</span><span>the axis of symmetry is x=4
</span>see the attached figure N 1
case 2)
f(x)=-(x-4)^2-1
the vertex is the point (4,-1)
there is no x intercepts
the y intercept is the point (0,-17)
the axis of symmetry is x=4
see the attached figure N 2
the answer
<span>considering the case N 2 </span>is
vertex (4,-1)------> is correct
y intercept (0,-17)-----> is correct
axis of symmetry x=4-----> is correct
f(x)=(x-4)^2-1 in the question and f(x)=-(x-4)^2-1 in the picture
<span>so
</span><span>I'm going to analyze the two cases
</span><span>
using a graph tool
case 1)
</span>f(x)=(x-4)^2-1<span>
the vertex is the point (4,-1)
the x intercepts are the points (3,0) and (5,0)
the y intercept is the point (0,15)
</span><span>the axis of symmetry is x=4
</span>see the attached figure N 1
case 2)
f(x)=-(x-4)^2-1
the vertex is the point (4,-1)
there is no x intercepts
the y intercept is the point (0,-17)
the axis of symmetry is x=4
see the attached figure N 2
the answer
<span>considering the case N 2 </span>is
vertex (4,-1)------> is correct
y intercept (0,-17)-----> is correct
axis of symmetry x=4-----> is correct
Answer:
Part 1) see the explanation
Part 2) see the explanation
Part 3) see the explanation
Part 4) see the explanation
Step-by-step explanation:
<u><em>The question in English is</em></u>
Read the situations and do the following with each one:
Write down the magnitudes involved
Write which magnitude is the independent variable and which is the dependent variable
It represents the function that describes the situation
SITUATIONS:
1) A machine prints 840 pages every 30 minutes.
2) An elevator takes 6 seconds to go up two floors.
3) A company rents a car at S/ 480 for 12 days.
4) 10 kilograms of papaya cost S/ 35
Part 1) we have
A machine prints 840 pages every 30 minutes
Let
x ----> the time in minutes (represent the variable independent or input value)
y ---> the number of pages that the machine print (represent the dependent variable or output value)
Remember that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
In this problem
we have a a proportional variation
so
The value of the constant of proportionality is equal to
we have
substitute
The linear equation is
Part 2) we have
An elevator takes 6 seconds to go up two floors.
Let
x ----> the time in seconds (represent the variable independent or input value)
y ---> the number of floors (represent the dependent variable or output value)
Remember that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
In this problem
we have a a proportional variation
so
The value of the constant of proportionality is equal to
we have
substitute
The linear equation is
Part 3) we have
A company rents a car at S/ 480 for 12 days.
Let
x ----> the number of days (represent the variable independent or input value)
y ---> the cost of rent a car (represent the dependent variable or output value)
Remember that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
In this problem
we have a a proportional variation
so
The value of the constant of proportionality is equal to
we have
substitute
The linear equation is
Part 4) we have
10 kilograms of papaya cost S/ 35
Let
x ----> the kilograms of papaya (represent the variable independent or input value)
y ---> the cost (represent the dependent variable or output value)
Remember that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
In this problem
we have a a proportional variation
so
The value of the constant of proportionality is equal to
we have
substitute
The linear equation is