describes a circle of radius 2 centered at (0,2). A revolution of this region about the y-axis would give you a sphere of radius 2, so the volume would be
.
Answer:
9 songs
Explanation:
Given:
The slideshow is 31 whole number 1/2 minutes long
convert to an improper fraction
31×2+1/2 = 63/2
The songs are each 3 whole number 1/2 minutes long
convert to an improper fraction
3×2+1/2 = 7/2
To find the number of songs that Marcus is picking to play during a slideshow, divide the slideshow by the long of one song
(63/2) / (7/2)
= 9 songs.
Answer:
try and move the line to touch more dots.
Step-by-step explanation:
then salve for y intersept
9514 1404 393
Answer:
22
Step-by-step explanation:
Put -3 where x is and do the arithmetic.
f(-3) = 3(-3)² -2(-3) -11 = 27 +6 -11
f(-3) = 22
_____
<em>Additional comment</em>
Sometimes evaluation is easier if you rewrite the polynomial in Horner form:
f(x) = (3x -2)x -11
f(-3) = (3(-3) -2)(-3) -11 = -11(-3) -11 = 33 -11 = 22
Both by Pythagorean theorem and dot product approaches, we find that the magnitude of the vector <u>u</u> = <4, 7> is equal to √65.
<h3>What is the magnitude of a vector?</h3>
Vectors are characterized by two elements: Magnitude and direction, the magnitude is a scalar that represents the <em>"length"</em> of the vector, while the direction indicate the <em>"orientation"</em> of the vector. There are two methods to find the magnitude of the vector u:
Method 1 - Pythagorean theorem
<u>u</u> = <4, 7>
u = √(4² + 7²)
u = √65
Method 2 - Dot product
<u>u</u> = <4, 7>
u = √(u • u)
u = √[(4, 7) • (4, 7)]
u = √(4² + 7²)
u = √65
Both by Pythagorean theorem and dot product approaches, we find that the magnitude of the vector <u>u</u> = <4, 7> is equal to √65.
To learn more on vectors: brainly.com/question/13322477
#SPJ1
