Answer: - 5
Explanation:
1) Some information in the question is missing: the height of the roller coaster at the bottom of the drop.
2) Here is the complete question: "Across a horizontal distance of 25 feet, a roller coaster has a steep drop. The height of the roller coaster at the bottom of the drop is -125 feet, compared to its height at the top of the drop. What is the average amount that the roller coaster's height changes over each horizontal foot"
3) Now, you can calculate the average amount that the roller coaster's height changes over each horizontal foot, using this formula:
Average change = [change in height] / [change in horizontal]
4) Change in height = [final height - initial height] = - 125 feet
5) Change in horizontal distance = 25 feet
6) Answer: - 125 feet / 25 feet = - 5.
The negative sign means that the height decreased.
Answer:
-1
Explanation:
The slope is equal to the rise/run of the line, or in other words, the number of units the line travels upwards per the number of times the line travels to the right.
We can see that for every -1 units the line travels upwards, the line travels right 1 unit. Therefore, the slope is -1/1, which is the same as -1.
I hope this helps!
Answer:
C
Step-by-step explanation
Since 1 2/3 is too large for the blank, and 0.153 is too small, we try C, which is 22%. Convert it to a fraction to make 11/50. If you cross multiply, we would find out that 11/50 is a greater fraction than 2/11 and less than 1.42. Hence, we get C as our answer.
Answer: (2*p + 3)/q
Step-by-step explanation:
First, let's remember the relationships:
Logₙ(a) = Ln(a)/Ln(n)
Ln(A*B) = Ln(A) + Ln(B)
Ln(a^n) = n*Ln(a)
Now, we know that:
Logₓ(2) = p
Logₓ(7) = q
We want to express:
Log₇(4*x^3) in terms of p and q.
First, we can rewrite the first two relations as:
Ln(2)/Ln(x) = p
Ln(7)/ln(x) = q
then we have:
Ln(2) = p*Ln(x)
Ln(7) = q*Ln(x)
Ok:
Now let's play with our equation:
Log₇(4*x^3)
First, this is equal to:
Ln(4*x^3)/Ln(7)
We now can rewrite this as:
(Ln(4) + Ln(x^3))/Ln(7)
= (Ln(2^2) + Ln(x^3))/Ln(7)
= (2*Ln(2) + 3*Ln(x))/Ln(7)
Now we can replace Ln(2) by p*Ln(x) and Ln(7) by q*Ln(x)
(2*p*Ln(x) + 3*Ln(x))/(q*Ln(x)) = (2*p + 3)/q
This is the expression we wanted.
Step-by-step explanation:
A. Rational Number
square root 36 = 6/1
It can be write in a ratio.
