Answer:
The ratio of their volumes is: 
Step-by-step explanation:
If the cones are similar, then the ratio of their heights should equal the ratio of their radiuses. If we call R the radius of the larger cone (the one of height 9 cm) and r the radius of the smaller cone (the one of height 4 cm), then the following proportion should be verified:
where we have solved for "R" in terms of "r".
Now we input this information in the formula for the volume (V) of the largest cone, and for the volume (v) of the smaller cone, recalling that the volume of a cone is the product of the area of the cone's circular base (
).
So now the ratio of their volumes (V/v) can be obtained:
Answer:
Step-by-step explanation:
To solve this problem, we need to find the linear function. We know that the constant rate of change is -0.5° Celsius per minute. Also, after 60 minutes the temperature was 10° Celsius. So, we have a one point and the slope of the linear function, let's use the point-slope formula
Where the y-intercept is at (0, 40).
Now, we have two points to graph the relation between minutes and Celsius degrees.
Therefore, the room's temperature as a function of time is
Its graph is attached.
Answer:
1.21 g/day
Step-by-step explanation:
We are given that
The mass of a colony of bacteria (in (grams) is given by
Where t=Time(in days)
Differentiate w.r.t t
By using the formula 
We are given P(t)=6
Substitute the value
Substitute the value of t
We know that 
Using the formula
By using 
g/day
Hence,the instantaneous rate of change of the mass of the colony=1.21g/day
Answer:
The change received by the customer is $7.
Step-by-step explanation:
First, write the given expression for the change when paying with $50.
Evaluate the parentheses:
Now add the numbers inside the parentheses.
Subtract the numbers.
Hence, the change received by the customer is $7.
<span>D) Angles BAC and DCA are congruent by the Alternate Interior Angles Theorem.</span>
