Answer:
−p3q2r−p3qr2−p2q3r−p2q2r2−p2qr3+pq3r2+pq2r3
Step-by-step explanation:
(p2qr+pq2r+pqr2)((−p)(q)+qr+−pr)
(p2qr)((−p)(q))+(p2qr)(qr)+(p2qr)(−pr)+(pq2r)((−p)(q))+(pq2r)(qr)+(pq2r)(−pr)+(pqr2)((−p)(q))+(pqr2)(qr)+(pqr2)(−pr)
−p3q2r+p2q2r2−p3qr2−p2q3r+pq3r2−p2q2r2−p2q2r2+pq2r3−p2qr3
−p3q2r−p3qr2−p2q3r−p2q2r2−p2qr3+pq3r2+pq2r3
[tex]\large\underline{\sf{Solution-}}[/tex]
Given that:
[tex]\sf\longmapsto(p^2qr+pq^2r+pqr^2)(-pq+qr-pr)[/tex]
Opening the brackets,
[tex]\sf\longmapsto p^2qr(-pq+qr-pr) + pq^2r(-pq+qr-pr) + pqr^2(-pq+qr-pr)[/tex]
Opening the next brackets,
[tex]\sf\longmapsto p^2qr(-pq)+ p^2qr(qr)- p^2qr(pr) + pq^2r(-pq)+ pq^2r(qr)- pq^2r(pr) + pqr^2(-pq)+ pqr^2(qr)- pqr^2(pr)[/tex]
So,
[tex]\sf\longmapsto -p^3q^2r+ p^2q^2r^2- p^3qr^2 - p^2q^3r+ pq^3r^2- p^2q^2r^2-p^2q^2r^2+ pq^2r^3- p^2qr^3[/tex]
[tex]\sf\longmapsto -p^3q^2r- p^3qr^2 - p^2q^3r+ pq^3r^2+ pq^2r^3- p^2qr^3+ p^2q^2r^2-2p^2q^2r^2 [/tex]
[tex]\sf\longmapsto -p^3q^2r- p^3qr^2 - p^2q^3r+ pq^3r^2+ pq^2r^3- p^2qr^3- p^2q^2r^2 [/tex]
Hence, the product is,
[tex]\longmapsto\bf -p^3q^2r- p^3qr^2 - p^2q^3r- p^2qr^3+ pq^3r^2+ pq^2r^3 - p^2q^2r^2 [/tex]
1.
D x y
a dxdy
2
S D r 4 .
Answer:
ok
Step-by-step explanation:
ok fjFjxggkgclclcchlclcullcucuclcvuullulj
Q1: The first three stages of a pattern are shown below. Each stage of the pattern is made up of small squares. Each small square has an area of one square unit. Stage 1 Stage 2 (a) Draw the next two stages of the pattern. (b) The perimeter of Stage 1 of the pattern is four units. The perimeter of Stage 3 Stage 2 of the pattern is 12 units. Find a general formula for the perimeter of Stage n of the pattern, where # EN. (c) Find a general formula for the area of Stage n of the pattern, where E N. (d) What kind of sequence (arithmetic, quadratic, geometric, or none of these) do the areas follow? Justify your answer.
9514 1404 393
Answer:
a) see attached for the drawings
b) p = 8n -4
c) a(n) = 4n(n -3) +13 for n > 1; a(1) = 1
d) none
Step-by-step explanation:
a) The overall dimensions of the next two stages of the pattern will be 7×7 and 9×9. Excluding the 4 "ears", the central squares are 5×5 and 7×7. The drawings are shown in the attachment.
__
b) The sequence of perimeter values is ...
4, 12, 20, 28, 36, ...
This is an arithmetic sequence with a common difference of 8. A suitable formula for the perimeter p of stage n is ...
p = 8n -4
__
c) The sequence of area values is ...
1, 5, 13, 29, 53, ...
The first differences are ...
4, 8, 16, 24, ...
and the second differences are ...
4, 8, 8, ...
At no level are the differences "common", so this sequence cannot be described by a polynomial function. After the first one, the second differences are common, so the sequence after the first term can be described by a quadratic function.
The function describing the sequence must be defined in two parts:
[tex]a(n)=\begin{cases}1&\text{ for $n = 1$}\\4n(n-3)+13&\text{ for $n>1$}\end{cases}[/tex]
__
d) Because the function must be piecewise defined, the area sequence is not any of the types of sequences listed. After the first term, it is a quadratic sequence.
_____
Additional comment
The leading coefficient of the quadratic formula for the area sequence is half the second difference. When 4n² is subtracted from the sequence of areas, the remaining arithmetic sequence has a common difference of -12. In order to bring the total of these quadratic and arithmetic sequences up to the correct area value, 13 must be added. This formula would give a(1) = a(2) = 5, which is not the correct value for a(1). Hence, that must be defined separately.
Type the missing number in this sequence:
16, 7, __, -11, -20
-2
The difference between 16 and 7 is 9 and the difference between-11 and -20 is 9 as well meaning that the numbers go down in 9
therefore 7-9 is -2
Hope this helped you- have a good day bro cya)
45 to 60 using percent of change unit.
Answer:
A change from 45 to 60 represents a positive change (increase) of 33.3333333333%
Step-by-step explanation:
Percent change = 60 - 45
45
× 100 = 33.333333333333 % (increase)
Answer:
33.3% increase
Step-by-step explanation:
Percent of Change =
[tex] \frac{change}{original} [/tex]
The change would be 15:
60 - 45 = 15
So the percent of change would be:
15/45 = 1/3 = 33.3% increase
Hope this helps! Brainliest would be appreciated!
• A man observes the angle subtended by a pole to be 30'. He walks 10 metres towards its base and finds that it subtends an angle of 45'. Find the height of the pole.
(A) 12.65 m (B) 13.66 m (C) 15 m (D) 14 m
Answer:
13.66m
Step-by-step explanation:
48 cookies; 50% increase
Answer:
72
Step-by-step explanation:
48÷2= 24
48+24= 72
Hope this helps! :)
Answer:
its 72.00
Step-by-step explanation:
48.00 increased by 50% is 72.00
The increase is 24.00
3 (1 2t) = 3t + 5 !!
Answer:
2/3
Step-by-step explanation:
3+6t=3t+5
like terms together
6t-3t=5-3
3t=2
t=2/3
Noah’s remote control car moved 12 feet in 6 seconds. Which graph has a slope that best represents Noah’s car’s average rate of speed?
We want to find a graph that represents Noah's average speed.
We define the average speed as the quotient between the distance moved and the time it takes to move that distance, then in this case we will have:
s = 12ft/6s = 2ft/s
Then we can define a linear equation:
y = (2ft/s)*x
As the distance that Noah travels in x seconds.
The graph of the given linear function can be seen below, and that is the graph with the slope that best represents Noah's average speed.
If you want to learn more, you can read:
https://brainly.com/question/11897796
what does N equal because i dont know
Answer:
N = Natural numbers
State if the triangle are congruent by sss sas asa aas or not congruent
Answer:
(a) SSS
.........................
what is the answer to 12 divided by 51.6??? can i have an explanation to please if you guys don't mind??
Answer:
will u give the brainliest?
How many unique three-letter sequences can be made from the word COMBINATORICS where no 2 letters can be the same?
Answer:
BIN
TIC
SIT
BIT
MOB
ROT
SIR
BAN
BAM
TAN
RAT
ROB
theres tons of words you can make, just take a few seconds and find as many as you can
Answer:
720
Step-by-step explanation:
the way I read this problem is like a Scrabble set. Start by getting a unique set of letters:
COMBINATRS
10 unique letters
10! / (10-3)!
10! / 7!
720
Six more than a number is 17
The unknown number given from the expression Six more than a number is 17 is 11
How to solve linear equation?let
The unknown number = x
x + 6 = 17
subtract 6 from both sidesx = 17 - 6
x = 11
check:
x + 6 = 17
11 + 6 = 17
Learn more about equation:
https://brainly.com/question/1214333
#SPJ1
4x^2y^7(-7x^6z^9+2y^3+6z^3)
Answer:
-28x⁸y⁷z⁹ + 8x² y ¹⁰ + 24x²y⁷z³
Step-by-step explanation:
1) Distribute
4x²y⁷(-7x⁶z⁹ + 2y³ + 6z³)
-28x⁸y⁷z⁹ + 8x² y ¹⁰ + 24x²y⁷z³
Answer:
-28x^8y^7z^9 + 8x^2y^10 + 24x^2y^7z^3.
Step-by-step explanation:
4x^2y^7(-7x^6z^9+2y^3+6z^3)
Expanding:
= -28x^8y^7z^9 + 8x^2y^10 + 24x^2y^7z^3.
100 POINTS FOR THE CORRECT ANSWER
(03.03 MC)
A marine biologist is studying the growth of a particular species of fish. She writes the following equation to show the length of the fish, f(m), in cm, after m months:
f(m) = 3(1.09)m
Part A: When the marine biologist concluded her study, the length of the fish was approximately 5.98 cm. What is a reasonable domain to plot the growth function? (4 points)
Part B: What does the y-intercept of the graph of the function f(m) represent? (2 points)
Part C: What is the average rate of change of the function f(m) from m = 2 to m = 8, and what does it represent? (4 points)
Answer:
I hope this helped. Look throught the pictures
Step-by-step explanation:
Answer:
Part A: 0<x<9
Part B: The y-intercept 3 represents how big the fish was when she first started her study.
Part C: The average rate of change from m=2 to m=8 is 2.09, and it represents the growth of the species of fish.
I don't know about Part C, but I hope this helps!
Guided Practice
Find the slope of a line parallel to y=1/2x+2.3.
A.
1/2
B.
−1/2
C.
2
Answer:
A. 1/2
Step-by-step explanation:
GradPoint answer
I got it correct on the lesson.
The mean of the numbers 15, 21, 17.26. 18,29
is 21. Calculate the standard deviation of the
numbers
Answer:
6
Step-by-step explanation:
=15+21+17+26+18+29/
/ 21
=126/21
=6
the 4.1 m of concrete is made into the shape of a cylinder. The base has radios 0.5 metres. work out the height of the cylinder ( photo attached)
Answer:
5.22m
Step-by-step explanation:
Rearrange the formula - volume = π × r² × h:
h = volume ÷ (π × r²)
volume = 4.1m³r = 0.5Plug in the numbers:
h = 4.1 ÷ (π × 0.5²)
h = 5.22028... ≈ 5.22m
Hope this helps!
At a movie theater, the price of 2 adult tickets and 4 child tickets is $48. The price of 5 adult tickets and 2 child tickets is $64. What is the ticket price for one adult and for one child?
Adult: Child:
Answer:
adult=10
Child=7
One adult and one child=10+7=17
Step-by-step explanation:
Let a be the price of an adult ticket
c = price of the child ticket
2a+4c = 48
5a+2c = 64
Multiply the second equation by -2 and add to the first equation
2a+4c = 48
-10a-4c = -128
---------------------
-8a +0c = -80
Divide by -8
-8a/-8 = -80/-8
a = 10
Now find c
2a+4c=48
2(10)+4c=48
20+4c=48
4c=48-20
4c=28
4c/4=28/4
c=7
Answer:
look at the photo..........
Customer account “numbers” for a certain company consists of 2 letters followed by 2 single-digit numbers. How many different account numbers are possible if repetition of letters and digits are allowed?
Answer:
67600Step-by-step explanation:
Let the format be:
LLDD- where L stands for letter and D- digitFor each L we have 26 (English alphabet) and for each D we have 10 options.
Number of possible accounts:
26*26*10*10 = 6760010 cm 10 cm 30 cm. 14.1 cm
answer; you
Step-by-step explanation:
I dont know
sssooooooorrrrrrrrrryyyyyyyyyyyy
1. What reasons did the members of the Constitutional Convention have for creating the Electoral College?
2. How have voters in America changed since the Constitution was created?
3. Should the Electoral College continue to be used? Why or why not? Use examples from your research to support your answer.
Please help me~!!
Answer:
Non veg se mujhe Run movie ka kawuaa biryaani yaad aa gya
Step-by-step explanation:
Accha bhai koi mujhe batao
Pahle murgi ya anda
Wait your answer
Helpp i have 12 minutes
Answer:
the answer is 924.8 round it up and you get 925
Step-by-step explanation:
Veggie’s Market sells 5 avocados for $2.30 and 3 tomatoes for $2.97. Martina buys 2 avocados and 1 tomato. What is the total cost of her veggies?
Answer:
$1.91
Step-by-step explanation:
$2.30 / 5 = $0.46
$2.97 / 3 = $0.99
2 * $0.46 + $0.99 = $1.91
Answer:
1.91
Step-by-step explanation:
divide 2.30 by 5 and u get 0.47 and she bought 2 avocados so 0.47 plus 0.47 is 0.92 and 2.97 divided by 3 is 0.99 so 0.99 plus 0.92 is 1.91 dollars
10.com
Leg, width
and height
Answer:
420 cm^3
Step-by-step explanation:
1. The volume of a rectangular prism is [tex]l * w * h[/tex], where l = length, w = width, and h = height.
2. (Solving)
[tex]6*7*10[/tex] [tex]42*10[/tex] [tex]420[/tex] 420 cm^3Therefore, the volume is 420 cm^3.
Needs to show work.
1. Refer to the equation 2x − 6y = 12.
(a) Write the equation in Slope Intercept Form.
Answer:
y = 1/3x - 2
Step-by-step explanation:
2x − 6y = 12
-6y = -2x + 12
y = 1/3x - 2
rick haskins is payed $18 an hour as a pastry chef for a regular 35-hour week his over time rate is 1.5 times his regular hourly rate this week he worked his regular 35 hours plus 8 hours of overtime what is ricks total pay
i have so many points help me
Divide.
(−15)÷(−45)
What is the quotient?
Enter your answer as a simplified fraction in the box.
Estimate the sums and difference of 38.12 + 12.24 and round to the nearest tenth
Answer:
50.4
Step-by-step explanation:
38.12 + 12.24 = 50.36
6 is near 10
50.36 = 50.4
The picture shows a sandwich box:
A sandwich box is shown with a right triangle side. The right triangle has hypotenuse 14 cm and base 12 cm.
What is the approximate minimum height of a shelf in which this box can fit in the position shown in the pi
Answer:
the answer is 7.2 cm
Step-by-step explanation:
14^2 is 196
12^2 is 144
196 - 144 = 52
square root of 52 = 7.2
also i did FLVS & got it right lol
