2 square root x • 4x= 22
2x=22
x=11
Answer is 11
Answer:
Step-by-step explanation:
<em>Cost of game = $120</em>
<em>Current savings = $30</em>
<em>Rate for babysitting (per hour) = $5/hour</em>
<em></em>
<em>So, required equation is :-</em>
<em>120 = 5h + 30</em>
<em>5h = 90</em>
<em>h = 18</em>
<em></em>
<em>She must make $90 by babysitting for 18 more hours.</em>
Answer:
It's always longer than either of the legs
Step-by-step explanation:
The hypotenuse is always longer than either of the legs.
By using the arc length formula, we will see that the length of the curve is L = 1.48
<h3>
How to use the arc length formula?</h3>
Here we have the curve:
y = 2 - x^2 with 0 ≤ x ≤ 1
And we want to find the length of the curve.
The arc length formula for a curve y in the interval [x₁, x₂] is given by:

For our curve, we have:
dy/dx = -2x
And the interval is [0, 1]
Replacing that we get:

This integral is not trivial, using a table you can see that this is equal to:

evaluated from x = 1 to x = 0, when we do that, we will get:

That is the length of the curve.
If you want to learn more about curve length, you can read:
brainly.com/question/2005046
Answer:
4.4 * 10^21
Step-by-step explanation:
Given :
Number of pop, n(p) = 10
Number of reggae, n(r) = 25
Number of blues, n(b) = 10
Total number of songs to select (n) = 15
If she wants equal Number if the 3 genres
Each genre will have : 15/3 = 5 songs each
Hence,
(10C5 * 25C5 * 10C5) * n!
Combination formula :
pCr = p! / (p-r)! r!
Using calculator to save computation time :
(10C5 * 25C5 * 10C5) * n!
(252 * 53130 * 252) * 15!
= 4412050844368527360000
= 4.4 * 10^21