Answer:

Step-by-step explanation:
The formula for the length of a vector/line in your case.
![L = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} = \sqrt{[4 - (-1)]^2 + [2 -(-3)]^2} = \sqrt{5^2 + 5^2} = \sqrt{50} = 5\sqrt{2}](https://tex.z-dn.net/?f=L%20%3D%20%5Csqrt%7B%28x_2-x_1%29%5E2%20%2B%20%28y_2-y_1%29%5E2%7D%20%3D%20%5Csqrt%7B%5B4%20-%20%28-1%29%5D%5E2%20%2B%20%5B2%20-%28-3%29%5D%5E2%7D%20%3D%20%5Csqrt%7B5%5E2%20%2B%205%5E2%7D%20%3D%20%5Csqrt%7B50%7D%20%3D%205%5Csqrt%7B2%7D)
Okay so in a gallon there are 16 cups, in this case 100 cups is equivalent to 6.25 gallons. 6.25 times 3.12= 19.5
Therefore $19.5 is how much the gas cost!
<span>6.8 x 10^-2
The scientific notation of 70, 030, 000. To find the scientific notation of this value </span><span><span>
1. </span>We first move the period which separates the whole number from the decimal number which is located after the numbers of the given value.</span>
<span><span>2. </span>We move it in the very recent order number which is seventy million, seven and zero.</span> <span><span>
3. </span>It becomes 7.003</span>
<span><span>4. </span>Thus we count how many moves we did from the tens to the ten million order place.</span> <span><span>
5. </span>7.003 x 10^7<span>
</span></span>
<h2>A)</h2>


<h2>B)</h2><h3>Since we only have 75 tickets to sell, the domain is:</h3><h2>t ε [ 0 , 75 ]</h2>
<h2>Range: (extra)</h2><h2>m ε [ 0 , 225 ] </h2>
Answer:
The number c is 2.
Step-by-step explanation:
Mean Value Theorem:
If f is a continuous function in a bounded interval [0,4], there is at least one value of c in (a,b) for which:

In this problem, we have that:

So 
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The number c is 2.