The actual speed of the plane with the wind:
v² = ( 150 + 50 · cos 45°)² + ( 50 · sin 45°)²
v² = ( 150 + 35.355 )² + 35.355²
v² = 34,356.467 + 1,249.976
v = √35,606.452
v = 188.7 mph
<h2><u>Part A</u>: He started with
4 miles. </h2>
<u>Explanation Part A</u>: 51.664 = (x((1.2⁷)-1)) / 0.2
<h2>
<u>Part B</u>: The equation is
51.664 = (x(1.2⁷)-1)/0.2</h2>
<u>Explanation</u>: n = 7 and on day 7 he traveled 51.664 so Sn = 51.664.
We get the second part of the equation because each day is increased by 20% so we have r = (1.2x) / x = 1.2
So our top half will be x multiplied by ((1.2)⁷-1) because it's the 7th day and we are increasing by 1.2x - 1.
Our bottom half is 1.2 - 1 which equals 0.2
<h2><u>Part C</u> :
103.83 miles</h2>
<u>Explanation: </u> We now have x which is 4 so we plug x into the equation above and remove the 51.664. We also change the 1.2⁷ to 1.2¹⁰ because it's the 10th day not the 7th.
Our equation now looks like (4(1.2¹⁰)-1) / 0.2 which is equal to 103.83 miles.
Answer:
C) -2 ≤ x ≤ 2
Step-by-step explanation:
Domain is the set of x-values that can be inputted into function f(x).
We see that our x-values span from -2 to 2. Since they are both closed dots, we include them in the domain:
[-2, 2] or -2 ≤ x ≤ 2
Answer:
E. x^2 = 39 + 10x
Step-by-step explanation:
It helps to do one piece of the sentence at a time.
"A number, x, squared is 39 more than the product of 10 and x"
x
"A number, x, squared is 39 more than the product of 10 and x"
x^2 =
"A number, x, squared is 39 more than the product of 10 and x"
x^2 = 39 +
"A number, x, squared is 39 more than the product of 10 and x"
x^2 = 39 + 10x
Answer: E. x^2 = 39 + 10x
If sandys friends ate 0, 2, 3, 4, 6, 6, and 7 pretzels, the mean of the data would be 4. So yes sandy is correct.
