For ever 4 inches, you have 25 miles. Therefore if you have only one, you multiply to find the other. Now, since you have miles, you need to find inches. Therefore, 120 divided by 4, because every 4 inches is equal to 25 miles. Your answer should be 30 inches
1. Using the exponent rule (a^b)·(a^c) = a^(b+c) ...

Simplify. Write in Scientific Notation
2. You know that 256 = 2.56·100 = 2.56·10². After that, we use the same rule for exponents as above.

3. The distributive property is useful for this.
(3x – 1)(5x + 4) = (3x)(5x + 4) – 1(5x + 4)
... = 15x² +12x – 5x –4
... = 15x² +7x -4
4. Look for factors of 8·(-3) = -24 that add to give 2, the x-coefficient.
-24 = -1×24 = -2×12 = -3×8 = -4×6
The last pair of factors adds to give 2. Now we can write
... (8x -4)(8x +6)/8 . . . . . where each of the instances of 8 is an instance of the coefficient of x² in the original expression. Factoring 4 from the first factor and 2 from the second factor gives
... (2x -1)(4x +3) . . . . . the factorization you require
Answer:
t = 2.11 seconds
Step-by-step explanation:
A toy rocket is launched from the top of a 48 foot hill. The rockets initial upward velocity is 32 feet per second and its height h at any given second t is modeled by the equation:

Let us assume that we need to find the time by it to reach the ground. It means h = 0

The above is a quadratic equation. The value of t is given by :

So, it will take 2.11 seconds to reach the ground.
Answer:
-11.8
Step-by-step explanation:
<u>Given:</u>
-3.4 to 12.4 increased (difference = 15.8)
12.4 to 20.4 decreased (difference = 8)
20.4 to 3.2 increased (difference = 17.2)
<u>To find:</u>
Final temperature.
Solution:
As we noticed, this is a pattern of increase, decrease, increase... (and so on and so forth). From this alone, we have gotten the clue that the temperature is going to decrease. But here is the thing, How far will it decrease?
Use the difference of the starting result to find the ending result.
3.2 - 15
= -11.8
Therefore, the final temperature is -11.8.
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