Answer:
There are 479,001,600 arrangments of 12 distinct items.
Step-by-step explanation:
Arrangements of n items:
The number of possible arrangements of n itens is given by the factorial of n, that is:
[tex]A_{n} = n![/tex]
12 items:
[tex]A_{12} = 12! = 479001600[/tex]
There are 479,001,600 arrangments of 12 distinct items.
The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing (in mm3/s) when the diameter is 40 mm
Answer:
[tex]\dfrac{dV}{dt}=502.65\ mm^3/s[/tex]
Step-by-step explanation:
The volume of a sphere is given by :
[tex]V=\dfrac{4}{3}\pi r^3[/tex]
The rate of change of volume means,
[tex]\dfrac{dV}{dt}=\dfrac{d}{dt}(\dfrac{4}{3}\pi r^3)\\\\\dfrac{dV}{dt}=\dfrac{4}{3}\pi \times 3r\times \dfrac{dr}{dt}[/tex]
We have, [tex]\dfrac{dr}{dt}=2\ mm/s\ and\ r=40\ mm[/tex]
So,
[tex]\dfrac{dV}{dt}=\dfrac{4}{3}\pi \times 3\times 20\times 2\\\\=502.65\ mm^3/s[/tex]
So, the volume is increasing at the rate of [tex]502.65\ mm^3/s[/tex].
4) find the first five terms of the recursively defined sequence.
a1=5, an+1=-3an+1
Answer:
566556565*7*7/*7+666364
ABCD is a rhombus with diagonals intersecting at E. If mABC is three times mBAD, find mABC.
And the answer is : 4m+m=180.
Do hope you will find it helpful!
Step-by-step explanation:
f(x) = -22 + x + 14
Find f(2)
Answer:
sln
f(x) =-22+x+14 put 2 in x
f(2)=-22+2+14
f(2) =38
Zach bought a video game that was 30% off. He paid $40 for the video game. How much was the game ORIGINALLY? (40 is the AMOUNT PAID so what Percent was me use to match that PART?)
Answer:
57.14$
Step-by-step explanation:
70/100 ( Remember 30% off so only paid 70% of original price) = 40/x ( 40$ is the price paid, x is the unknown original price)
70 = 40
100 X
40×100 = 4,000
4,000÷ 70X = 57.14
Assignment
os
Calculate the volunce the solid.
een
Answer:
2000ffdtsyjeauets esy siy eut aiteais6i6 es i6sei6 s3
what happened to tansen when he sang the deepak raga with great vigour
[tex]7x5[/tex]
A square pyramid and a cube have the same total surface area. The width of the cube is 8 centimeters. The base of the pyramid is equal to base of the cube. What is the slant height of the square pyramid?
Answer:
Step-by-step explanation:
surface area of cube = 6×8² = 384 cm²
lateral area of pyramid = surface area of pyramid - base area
= 384 - 8²
= 320 cm²
area of triangular face = 320/4 = 80 = ½(base)(slant height) = ½(8)(slant height)
slant height = 20 cm
What is the slope of the line?
Answer:
Slope: -1
Step-by-step explanation:
(0, -2) and (1, -3)
m= (y2-y1)/(x2-x1)
m= (-3+2)/(1-0)
m= (-1)/(1)
m = -1
77006
75863
Subtract
Answer:
1143
Step-by-step explanation:
can you please help me with this question?
Answer: 32, 25, and 13 are possible side lengths.
Step-by-step explanation:
The lengths of any two sides of a triangle must sum up to more than the length of the third side.
15 + 27 = 42
42 = 42
The sum has to be MORE than the third side.
15 + 27 = 42
42 > 11
15 + 11 = 26
26 < 27
The sum of two sides can't be LESS than the third side.
15 + 27 = 42
42 > 32
15 + 32 = 47
47 > 27
27 + 32 = 59
59 > 15
Possible Side Length!
15 + 27 = 42
42 < 45
Can't be less
15 + 27 = 42
42 > 25
15 + 25 = 40
40 > 27
27 + 25 = 52
52 > 15
Possible Side Length!
15 + 27 = 42
42 > 13
15 + 13 = 28
28 > 27
27 + 13 = 40
40 > 15
Possible Side Length!
Use long division to find the value of 1875 ÷ 15 THIS IS A DIVISON PROBLEM SINCE THE OTHER ONE I WROTE A MULTIPLICATION PROBLEM
The division is given below.
The quotient is 125 and the remainder is 0.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
1875 ÷ 15
This can be written as,
15 ) 1875 ( 125
15
37
30
75
75
0
Thus,
The quotient is 125 and the remainder is 0.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
I need help with this
Answer:
105 by alternate interior
Step-by-step explanation:
105 by alternate interior
Find three consecutive numbers whose sum equals
999.
Answer:
332, 333, 334
Step-by-step explanation:
First, we acknowledge that the equation that we need to solve will be "x+(x+1)+(x+2)=999" This is because x represents the smallest of three consecutive numbers whose sum is 999. Simplifying this equation will leave us with 3x+3=999 which is simplified further to 3x=996 and again simplified to x=332. X is the smallest number of the three.
-6y+11x=-34
-4y+7x=-24
Answer:
no idea but mabye someone whose NOT in 3rd grade will know?
A bicyclist ride 1/4 miles 1/60 hours
__________________________
Answer:
1.57
Step-by-step explanation:
Answer:
1.57
Step-by-step explanation:
Circumference = 2pi(r) = 2(3.14)1 = 6.28
1/4x6.28=1.57
Which graph represents the function?
f(x)=−x2+x+6
Can someone do this real quick plz
Answer:
(3.5, 2)
Step-by-step explanation:
From the attachment, we have:
[tex]H = (1,1)[/tex]
[tex]J= (2,3)[/tex]
[tex]K=(6,3)[/tex]
[tex]L = (5,1)[/tex]
Required
Determine the point of intersection
To do this, we simply calculate the midpoints of the diagonals; which are:
HK and JL
Midpoint is calculated as:
[tex]M = \frac{1}{2}(x_1 + x_2,y_1+y_2)[/tex]
For HK:
[tex]M = \frac{1}{2}(1+6,1+3)[/tex]
[tex]M = \frac{1}{2}(7,4)[/tex]
[tex]M = (3.5,2)[/tex]
For JL:
[tex]M = \frac{1}{2}(2+5,3+1)[/tex]
[tex]M = \frac{1}{2}(7,4)[/tex]
[tex]M = (3.5,2)[/tex]
For both diagonals, the coordinate of the midpoint is (3.5, 2).
Hence, the point of intersection is: (3.5, 2)
5 in = ___________ ft
Answer:
0.416667 foot
Step-by-step explanation:
Answer: 0.41666667
Step-by-step explanation:
From the internet
Which scatterplot demonstrates the strongest relationship between two quantitative variables?
A graph has x on the x-axis, and y on the y-axis. Points are scattered throughout the graph.
A graph has x on the x-axis, and y on the y-axis. Points curve up and then down in a line.
A graph has x on the x-axis, and y on the y-axis. Points increase loosely together.
A graph has x on the x-axis, and y on the y-axis. Points decrease loosely together.
The scatterplot demonstrates the strongest relationship is, a graph has x on the x-axis, and y on the y-axis. Points increase loosely together.
What is Correlation coefficient of scatterplot?The correlation coefficient of scatterplot is used to demonstrate the relationship between variables.
When two variables increases together, they are said to have positive correlation.
When one is increasing and another is decreasing, they are said to have negative correlation.
When most of data points form a straight line or lies close to the straight line, it indicates strong linear correlation.
From the given options;
Option A, zero correlation
Option B, less than 1
Option C, 1 or greater than 1
Option D, -1 or less than 1
Thus, the scatterplot demonstrates the strongest relationship between two quantitative variables is option C, "a graph has x on the x-axis, and y on the y-axis. Points increase loosely together".
Learn more about scatterplot here: brainly.com/question/6592115
#SPJ2
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer: C
Step-by-step explanation: The layers of rocks implies superposition and changes in species implies evolution
The number of that grow sugar beet =12
Answer:
I think question is not proper
you should check it again
hope your day will fine
Answer:
Whatttt
Step-by-step explanation:
If x = -8, then which of the following equations makes a true statement?
A. 3x - 5 = -23
B. 2x - 2 = -18
C. 2x - 1 = -10
D. 3x - 1 = -16
Write an expression that is equivalent to 123x + x + 2x
What is a reasonable metric unit for the capacity of a large lake
Answer:
Liters and milliliters are metric units for measuring capacity
Step-by-step explanation:
Answer:
liters
Step-by-step explanation:
Marco bounces a basketball 45 times in 60 seconds.at the rate approximately how many times will Marco bounce the ball 150 seconds?
Answer:
Approximately : 135
Step-by-step explanation:
60sec x 3 = 180sec
45 x 3 = 135
What is the answer for this?
Answer:
Proved
Step-by-step explanation:
Given
[tex](2 * 10^2) * (3 * 10^5) = 3.5 * 10^7 + 2.5 * 10^7[/tex]
Required
Prove
On the right hand side, we have:
[tex]2 * 10^2 * 3 * 10^5 = 3.5 * 10^7 + 2.5 * 10^7[/tex]
Rewrite:
[tex]2 * 3* 10^2 * 10^5 = 3.5 * 10^7 + 2.5 * 10^7[/tex]
[tex]6* 10^2 * 10^5 = 3.5 * 10^7 + 2.5 * 10^7[/tex]
Apply law of indices
[tex]6* 10^{2+5} = 3.5 * 10^7 + 2.5 * 10^7[/tex]
[tex]6* 10^7 = 3.5 * 10^7 + 2.5 * 10^7[/tex]
Express 6 as 3.5 + 2.5
[tex](3.5 + 2.5)* 10^7 = 3.5 * 10^7 + 2.5 * 10^7[/tex]
Open bracket
[tex]3.5 *10^7+ 2.5*10^7 = 3.5 * 10^7 + 2.5 * 10^7[/tex]
Proved
Lucy is standing on a balcony looking down at her friend Grace, as shown in the diagram.
20 feet
Lucy<-] 0
1
14 feet
Grace
To the nearest degree, what is the measure of the angle of depression?
Answer:
35
Step-by-step explanation:
The answer is 35 degrees
What Is The Answer
k3 - 4j +12, when k=8, j=2
Answer:
The answer would be 28
Step-by-step explanation:
You would plug 8 in where k is and 2 where j is
so (8)3 - 4(2) +12
answer is 28