Answer:
(s - 1)(s² + s + 1)
Step-by-step explanation:
s³ - 1 ← is a difference of cubes and factors in general as
a³ - b³ = (a - b)(a² + ab + b²) , then
s³ - 1
= s³ - 1³
= (s - 1)(s² + s + 1)
The required factorized form of the given expression is (s - 1)(s² + s + 1).
What is the Factorization?Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original. For example, the number 21 factors into primes as 3 × 7, and the polynomial x² − 9 factors as (x+3)(x-3).
We have been given that the expression below as
s³ - 1
We have to determine the factor of the given expression
As per the question, we have
s³ - 1
This is a difference between cubes and factors in general as
a³ - b³ = (a - b)(a² + ab + b²) , then
⇒ s³ - 1 = s³ - 1³
⇒ (s - 1)(s² + s + 1)
Thus, the required factorized form is (s - 1)(s² + s + 1).
Learn more about the Factorization here:
brainly.com/question/4184435
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using this distribution find the probability that a teenager has 3 or fewer pairs of shoes in their closet(answer in decimal form)
Answer:
.7
Step-by-step explanation:
what type of association is there ??
hi i just need some points rq tyStep-by-step explanation:
7. What is the slope of a line that passes through the
origin and (-3,-2)?
Answer:
Step-by-step explanation:
( 0, 0) and (-3 , -2)
Slope = Change in y ÷ change in x
[tex]= \frac{-2-0}{-3-0}\\\\=\frac{-2}{-3}\\\\=\frac{2}{3}[/tex]
*update* Don't answer, I solved it already.
1) Given the equation y = 35(0.57)^x
a) Does this equation represent growth or decay? ______Decay_________
b) What is the rate of growth or decay? _______43%________ (in percent)
1-0.57=0.43 100x0.43=43%
c) What is the initial value? _____35________
d) Evaluate for x = 3
y=(35)(0.57)^(3)
=(35)(0.185193)
=6.481755
Answer:
1) Given the equation y = 35(0.57)^x
a) Does this equation represent growth or decay? ______Decay_________
b) What is the rate of growth or decay? _______43%________
1-0.57=0.43 100x0.43=43%
c) What is the initial value? _____35________
d) Evaluate for x = 3
y=(35)(0.57)^(3)
=(35)(0.185193)
=6.481755
You put $200 in a savings account. The account earns 2% simple interest
per year. What is the interest earned after 5 years? (*hint: just the
interest, NOT the total)
Use the formula I = p.r.t
Answer:
interest total after 5 years is $20.82
Step-by-step explanation:
If Savannah increases her protein intake from 45g to 54g in order to stay competitive in volleyball. What is the percentage increase of her protein intake?
Please answer I will mark brainliest
Answer:
Should be 63 degrees
Step-by-step explanation:
I can't tell if that's one of your options.
Martha ordered 3 cheesecakes. She will cut each cake into fourths. How many pieces of cake will she have?
Use the data for the books each class donated for a book drive.
Books Donated
28
15
40
45
27
19
50
36
42
37
21
25
Find the Median.
Answer:
rearrange in ascending order
15,19,21,25,27,28,36,37,40,42,45,50
using formula (n\2)th + (n/2)+1)th/2
(12/2)th + (12/2)+1)th/2
6th +7th/ 2
the 6th number=28and the 7th number=36
28+36/2
64/2
32
median =32
A CD usually sells for $18.00. If the CD is 10% off, and sales tax is 7%, what is the total price of the CD, including tax?
A. $18.30
B. $17.33
C. $17.46
D. $17.50
Answer:
b
Step-by-step explanation:
Simplify the expression: 20x − 6 − 13x + 19
A. 13x − 6
B. 7x + 13
C. 5x − 7
D. 10x + 11
Answer: B
Step-by-step explanation:
20x-13x-6+19
=7x+13
Find the area of each figure and round to the nearest tenth if necessary
Given:
The figure of two semicircles with diameters 6 cm and 5 cm.
To find:
The area of the combined figure.
Solution:
It is given that the diameters of the semicircles are 6 cm and 5 cm so their radii are 3 cm and 2.5 cm respectively.
Area of a semicircle is:
[tex]A=\dfrac{1}{2}\pi r^2[/tex]
So, the combined area of two semicircles with radii 3 cm and 2.5 cm is:
[tex]Area=\dfrac{1}{2}\pi (3)^2+\dfrac{1}{2}\pi (2.5)^2[/tex]
[tex]Area=\dfrac{1}{2}\pi (9)+\dfrac{1}{2}\pi (6.25)[/tex]
[tex]Area=14.137167+9.817477[/tex]
[tex]Area=23.954644[/tex]
Round the value to the nearest tenth (one decimal place.
[tex]Area\approx 24.0[/tex]
Therefore, the area of given figure is 24.0 sq. cm.
Find the area of trapezoids
Answer:
Area is 10.5
Step-by-step explanation:
We can use the trapezoid formula of
[tex]A = \frac{a+b}{2}h[/tex]
A = (2 + 5) / 2 * 3 = 3.5 * 3 = 10.5
or break it into a rectangle and a triangle (natural split by y axis).
A = 2 * 3 + 3 * 3 / 2 = 6 + 9 / 2 = 6 + 4.5 = 10.5
Answer:
10.5 units²
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the perpendicular height and b₁, b₂ the parallel bases
Here h = OS = 3 , b₁ = OC = 5 , b₂ = SK = 2 , then
A = [tex]\frac{1}{2}[/tex] × 3 × (5 + 2) = 1.5 × 7 = 10.5 units²
Complete the equations.
look at photo
Answer:
25.8
258.
2580.
Step-by-step explanation:
just move the decimal that many times
Answer:
25.8
258
2580
Step-by-step explanation:
10 to the power of 2 is 100
10 to the power of 2 is 1000
10 to the power of 4 is 10000
100 * 0.258
1000 * 0.258
10000 * 0.258
There are 150 politicians at a meeting.
They each shake hands with everyone
else. How many handshakes were there?
PLEASE HELP ASAP
Answer:
11175Step-by-step explanation:
Person 1 will shake hands with 149 othersPerson 2 ... 148 (excluding the first person)Person 2 ... 147 (excluding the first two persons)...Person 149 ... 1 (with person 150)Person 150 ... none (already had 149 handshakes)Total handshakes:
1 + 2 + ... 149 = 149(1 + 149)/2 = 11175I’m about to spam questions if you can answer them please do .
Answer:
id say anything between 15 to 30 i dont have the stuff i need to answer this 100% accurately
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
90 plus 40 ,then you subtract it from 180
3.2 Simplify the following
3.2.1 -2+3(1 - 4) - 2
Answer:
[tex]-13[/tex]
Step-by-step explanation:
[tex]-2+3(1-4)-2[/tex]
Simplify:
[tex]-2+3(1-4)-2\\-13[/tex]
-13 is your final answer!
Question 5: Find the area of the following rectangle. Hint: multiply the binomials (x-3)(x+6). *
Answer:
B
Step-by-step explanation:
(x-3)(x+6)
x²+6x-3x-18
x²+3x-18
please help no links thank u :)
Answer:
question wdym by links?
Step-by-step explanation:
Help! The picture is with it to see the question
Answer:
8
Step-by-step explanation:
sqrt8*sqrt8 = sqrt8^2 = 8
Plz make sure when you put an answer it is correct I’ll give you brainliest !
Answer:
C. 35 degrees
Step-by-step explanation:
Answer:
35 is your answer 21 plus 51 plus 73 plus 35
Write this word sentence as an equation. 82 is the difference of a number b and 24
Answer:
106 - 24 = 82
Step-by-step explanation:
b = 106, solve 106 - 24 and you get 82.
Hope this helped.
Answer:
b/24=82
Step-by-step explanation:
Since the difference of an equation is the outcome of division we place 82 as the answer.
Also, since 82 is greater than 24 we can assume that the variable "b" is larger than both 82 and 24.
What is the equation of the line shown in the graph?
Answer:
-1/5
Step-by-step explanation:
I couldn't tell whether or not your question was asking for either the slope intercept form or just the slope.
Your answer would be: y = -1/5x + 3 [if your question is asking for the slope intercept form]
OR
Your answer would be: -1/5 [if your question is asking for just the slope]
Write an expression, in its simplest form, for the volume of this cuboid
Answer:
[tex]V=10x^2+35x+15[/tex]
Step-by-step explanation:
Given that,
Length = (2x+1)
Width = (x+3)
Height = 5
We need to find an expression for the volume of this cuboid . The formula for the volume of cuboid is given by :
[tex]V=lbh[/tex]
So,
[tex]V=(2x+1)\times (x+3)\times 5\\\\=(2x+1)\times (5x+15)\\\\=10x^2+30x+5x+15\\\\=10x^2+35x+15[/tex]
So, the volume of this cuboid is equal to [tex]10x^2+35x+15[/tex].
Milton purchases a 7-gallon aquarium for his bedroom. To fill the aquarium with water, he uses a container with a capacity of 1 quart.
How many times will Milton fill and empty the container before the aquarium is full?
Milton will fill and empty the container __ times.
Choose a positive number. Using this number as
the base, evaluate it when the exponent is 3,0,
and -2. Show all work.
Answer:
Step-by-step explanation:
Choose 3.
3^3 = 27;
3^0 = 1; and
3^(-2) = 1/9
3a=a+36 find the value of a
Answer:
a=18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
Step 1: Write out your equation
3a=a+36
Step 2: Subtract a on both sides
2a=36
Step 3: Divide by 2 on both sides
a=18
Hope I helped
la suma de los cuadrados de dos numeros
an average speed of 57 km/h and the remaining 55 km at an average speed of 110 km/h. Find the average speed of the car for its entire journey.
Answer:
83.5km/h
Step-by-step explanation:
To find average you have to add up all the numbers in a given set then divide it by the amount of numbers in that set
Since multiplication is implied algebra we often don't need to actually write the times symbol ‘×'. Re-write this algebraic equation without the times symbol. a × b = 4 × c
Answer:
ab=4c
Step-by-step explanation:
Since a and b are being multiplied, we can just right ab. Since 4 and c are being multiplied, we ca just right 4c.
Answer:
ab=4c
Step-by-step explanation:
Basically, if you see any variables that are together like that or numbers side by side with letters, it means it's just being multiplied! This doesn't however, work with numbers next to numbers. So for example:
Say you have a x b = 5 x 5c
It would be ab = 5 x 5c Because only letters get put next to each other. That's really the only way I know how to explain it. Have a great day and good luck!