Answer:

Step-by-step explanation:
I'm guessing you have to simplify the expression so...
first, on the top of the fraction there is a 5^2 which is just 25. 25*25 = 625, so the top of the fraction bar changes to 625 * t^8
The denominator is 10^3 = 1000. this changes it to 1000 * t^4
The hard part now is to simplify this. t^8 is just t*t*t*t*t*t*t*t. similarly t^4 is just t*t*t*t
Since there are 4 t's in both the numerator and denominator, this cancels it out and changes this to
which simplifies to
.
To get rid of the denominator, we multiply 8/8 to the fraction to get:
, which if we distribute the 8 we get:
. Which is our answer!
Hope this helps!
Answer:
13
Step-by-step explanation:
(12) - (3) + (4) = 13
you just insert the numbers into the equation
The 5 in the thousands place is greater than the 5 in the hundreds place
Considering the linear function described, 500 liters of fuel were initially in the tank.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Researching this problem on the internet and looking at the graph, we have that when x = 0, y = 500, that is, the y-intercept is of 500. From the bullet points, the y-intercept is the initial value, hence 500 liters of fuel were initially in the tank.
More can be learned about linear functions at brainly.com/question/24808124
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Answer:
28 bikes are blue
Step-by-step explanation:
Set up the ratio:
Blue : Black
4 : 5
Find the total # of bikes in the ratio:
4 + 5 = 9
Find the relationship between 63 and 9:
63/9 = 7
Multiply both sides of the ratio by 7:
4(7) = 28
5(7) = 35
28 : 35
Therefore, the number of blue bikes is 28.