Given that z is inversely proportional to x, then:
zα1/x
hence;
z=k/x
where k is the constant of proportionality;
this implies that:
k=xz
when x=6,z=0.5
thus;
k=0.5*6
k=3
hence;
z=3/x
when x=10,
z=3/10
the answer is 3/10
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Answer:
Relative minima at 
, and relative maxima DNE.
Step-by-step explanation:
The given function is f(x) = x (x + 7) ...... (1)
We have to calculate the relative maxima and relative minima at point (x, y).
Rearranging the function given above we get.
⇒ 
Now, this is an equation of parabola having vertex at and the axis is parallel to positive Y-axis.
Therefore, the function(1) has a relative minima at , and the relative maxima DNE. (Answer)
Answer: There are 34.35 liters left in the test tube.
Step-by-step explanation:
Since we have given that
Depth of the tube = 9 inches
Circumference of base=4 inches
As we know the formula of circumference ,
Now, we need to find the volume of tube is given by
Since we have also given that,
Of 1 cubic inch of space holds 3 liters of water,
So,
Hence, there are 34.35 liters left in the test tube.
Hello! In order to understand this question, we need to take a look at the content that is involved.
Lupita pays $40.03 in total. Meaning that's where we are going to start if we want to find out how many miles her ride was. Since the taxi charges a flat rate of $6.75. We would want to subtract it from her total value because we only work with that flat rate once. Which ends up giving us $33.28. From there, we don't need to worry about the flat rate anymore and we now focus on the mileage. If it costs $3.20 per mile, then we can simply divide the amount after to flat rate by the cost per mile, to figure out how many miles she has gone. In the end, you will get 10.4 miles.
