Answer:
First, remember the relation:
Distance = Speed*Time.
We know that the distance is 120mi.
A) For the biker we know that:
Time = 8hours.
Speed = Distance/Time = 120mi/8h = 15 mi/h.
B) For the bus we know that:
Time = 2 hours.
Speed = Distance/Time = 120mi/2h = 60 mi/h.
C) For the truck we know that:
Time = 2.5 hours.
Speed = Distance/Time = 120mi/2.5h = 48 mi/h.
D) For the rider on a horse we know that:
Time = 18.75 hours.
Speed = Distance/Time = 120mi/18.75h = 6.4 mi/h.
E) The equation for the speed is:
Speed = Distance/Time.
You can see that time is in the denominator, this means that if for a fixed distance, the time increases, then the denominator increases, which would imply that the speed decreases.
Then the speed is inversely proportional to the time when the distance is fixed.
The simplification form of the number expression (2⁴)⁻¹ is 1/2⁴ option (B) one over two raised to the fourth power is correct.
<h3>What is an integer exponent?</h3>
In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
It is given that:
The number expression is:
= (2⁴)⁻¹
Using the properties of the integer exponent:
= 1/2⁴
The above number is one over two raised to the fourth power
Thus, the simplification form of the number expression (2⁴)⁻¹ is 1/2⁴ option (B) one over two raised to the fourth power is correct.
Learn more about the integer exponent here:
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Answer:
Science is a set of tools people used to build robust predictions. The tools are called The Scientific Method. (Some people prefer to say that Science creates explanations. That's fine. They are explanations in the form of predictions.)
The first step is to come up with a falsifiable hypothesis. That's a claim which can, in theory, be proven wrong. The next step is to try to prove it wrong via careful observation and experimentation.
If you manage to falsify the hypothesis or are unable to falsify it, you will be able to use it to make predictions.
I would define mathematics as the study of structure divorced from context.
In mathematics, we study various structures: numbers, groups, geometric objects, etc. We study their patterns and figure out how they work and interconnect. I would make the argument that anything existing in the universe and anything that can be cooked up by the human mind that has some sort of structure to it can be studied mathematically.
Of course, what one might argue is that disciplines like physics, chemistry, and biology do the same thing: they search for the physical patterns and structures that exist out in the world.
Step-by-step explanation:
please give me brainliest
Answer:
80
Step-by-step explanation:
I used a calculator to solve
