To be able to compare the rates, we will write them in fraction form.
The fraction that represents Joe's rate is:

and the fraction that represents Bob's rate is:

Simplifying the above fractions, we get:

Since:

then Bob and Joe did not work at the same rate.
Answer:
No, Bob and Joe did not work at the same rate.
Answer: a) Dimensions of miniature is 0.17 × 0.08 × 0.5, b) 0.006 ft³.
Step-by-step explanation:
Since we have given that
Height of building = 1250 feet
Length of building = 424 ft
Width of building = 187 ft
Now, we know that The miniature version is just 1/ 2500 of the size of the original.
So, Height of miniature would be

Length of miniature would be

Width of miniature would be

a) What are the dimensions of the miniature Empire State Building?
Dimensions of miniature is 0.17 × 0.08 × 0.5
b. Determine the volume of the miniature building. Explain how you determined the volume.

Hence, a) Dimensions of miniature is 0.17 × 0.08 × 0.5, b) 0.006 ft³.
There are 8 possible outcomes for a marble being drawn and numbered.
{1,2,3,4,5,6,7,8}
There are 4 possible outcomes for a card being selected from a standard deck.
{ <span>hearts, diamonds, clubs, spades}
So the number of outcomes in the sample space would be 8 x 4 = 32.
In the event "an even number is drawn", there are only 4 possible outcomes for a marble being drawn, {2,4,6,8}, whereas there are still 4 possible outcomes for a suit. So the number of outcomes in the event is 4 x 4 = 16.
</span><span>In the event "a number more than 2 is drawn and a red card is drawn", there are 6 possible outcomes for the marble being drawn, {3,4,5,6,7,8}, whereas there are only two possible suits for a card being selected as red, {heart, diamond}. So the number of outcomes in this event is 6 x 2 = 12.
In the event </span><span>"a number less than 3 is drawn or a club is not drawn", the number drawn could be 1 or 2 whereas a spade/heart/diamond could be selected. So the number of outcomes is 2 x 3 = 6.</span><span>
</span>
Answer:
15.7 cm
Step-by-step explanation:
Circle x's circumference is 15 * pi = 47.1 cm
Circle y's is 20 * pi = 62.8
The difference is 62.8 - 47.1 = 15.7
Using a differential equation, it is found that the temperature dropped 72 degrees Celsius between sundown and 3 hours after sundown.
<h3>What is the differential equation that describes the temperature in t hours after sundown?</h3>
The rate at which the temperature is dropping is
degrees Celsius per hour t hours after sundown, hence the <em>differential equation</em> is:

Applying <em>separation of variables</em>, we find the solution as follows:




In which T(0) is the temperature at sundown.
In 3 hours, the change will be of:

Hence:

The temperature dropped 72 degrees Celsius between sundown and 3 hours after sundown.
You can learn more about differential equations at brainly.com/question/24348029