An expression is defined as a set of numbers, variables, and mathematical operations. The polynomial expression that represents the sum of cubes is (s+6)(s²-6s+36).
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The sum of the cubes of a polynomial expression can be written as,
[tex]a^3+b^3=(a+b)(a^2-ab+b^2)[/tex]
Therefore, we need to find the polynomial expression which looks similar to the above expression,
[tex]s^3+6^3=(s+6)(s^2-6s+36)[/tex]
Thus, the polynomial expression that represents the sum of cubes is [tex](s+6)(s^2-6s+36)[/tex].
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Answer:
(6 + s)(s2 – 6s + 36)
Step-by-step explanation:
2022
The park district is building new bleachers for the softball feild. One row of bleachers will seat 9 people. What is the minimum number of rows needed to seat atleast 150 people?
Answer:
17
Explanation:
First, we observe that 1 row will seat 9 people.
Second, we take 150 and divide that by 9 to get our conversion factor for the amount of bleachers that are needed. Our answer comes out to 16.67, which we can assume that the question is asking for enough to seat all 150 of those people.
So we round up to 17, since 16.67 bleachers simply doesn't exist.
Johnny’s monthly expenses and income are listed below. calculate johnny’s debt-to-income (dti) ratio. johnny's monthly debt and income housing: rent $950.00 renter's insurance $25.00 credit: student $250.00 car $239.00 credit card
Answer:
c
Step-by-step explanation:
Find the distance between the points (8,9) and (-3, 3).
Answer:
11, 6
just do 8 - (-3) and 9 - 3
Select the correct answer.
Sharla wanted to know how many minutes per hour a radio station typically plays music. She collected the following data from seven radio
stations
30,31,37,36,31,35, 34
By how many minutes would her median time change if she added another radio station playing 37 minutes?
a. 0.4
b. 0.5
c. 0.45
Answer:
b. 0.5
Step-by-step explanation:
Arranging the given data
30, 31, 31, 34, 35, 36, 37Median is the middle term⇒ Median = 34 minutesUpon adding 37 to the data set,
30, 31, 31, 34, 35, 36, 37, 37Median is the arithmetic mean of the middle two data pointsMedian = 34 + 35/ 2 = 34.5Change in Median
New Median - Original Median34.5 - 340.5x intercept of y=x^2+5x-24
Answer:
Explanation: to find the x-intercepts, that is the points on the x-axiswhere the graph crosses
x2−5x−24=0←in standard formfactorise the quadratic using the a-c methodthe factors of - 24 which sum to
- 5 are - 8 and + 3⇒(x−8)(x+3)=0equate each factor to zero and solve for
xx−8=0⇒x=8←x-interceptx+3=0⇒x=−3←x
-interceptgraph{x^2-5x-24 [-10, 10, -5, 5]}
Beau spun a tri-colored spinner 30 times. The spinner stopped 12 times on yellow, 5 times on red, and 13 times on blue. Based on this data, if Beau spins the spinner 420 times, how many times would the spinner be expected to stop on red?
Answer:70
Step-by-step explanation:30 divided by 6 equals 5. And 420 divided by 6 equals 70
Omar measured a summer camp and made a scale drawing. In real life, the sand volleyball court is 9 meters wide. It is 12 centimeters wide in the drawing. What scale did Omar use for the drawing?
Step-by-step explanation:
9 metres = 900cm
Scale = Object length :image length
= 900:12
= 75:1
This means that every 75cm length of the court is represented by 1cm on the drawing paper.
Which integer has the greatest value (-17,-7,-3,-23)
Answer:
that would be -3 becuase it's the least negative out of all the choices
Step-by-step explanation:
What is the value of the expression below?
56 +1/17
A1/952
B17/56
C35/17
D952
Answer:
[tex]56 \frac{1}{17} [/tex]
Step-by-step explanation:
[tex] 56 + \frac{1}{17} = \frac{56}{1} + \frac{1}{17} \\ \\ lcm \: of \: 17 \: and \: 1 \: = 17 \\ \\ \frac{952 + 1}{17} = \frac{953}{17} = 56 \frac{1}{17} [/tex]
What is the coefficient of the x'y term in the expansion of (x – 2y)??
Answer:
2
Step-by-step explanation:
Identify the correctly formulated null hypothesis:
A factory has a machine that dispenses 80 milliliters of fluid in a bottle. An employee believes the average amount of fluid is not 80 milliliters. Using 40 samples, he measures the average amount dispensed by the machine to be 78 milliliters with a standard deviation of 2. 5.
a
The machine dispenses 80 ml of fluid.
b
Ha: mu=80
c
H0: mu=80
d
The machine does not dispenses 80 ml of fluid
If someone makes as many slices of toast as possible in 4 minutes and
40 seconds, how many slices do you think they can make?
Answer:
probably like 4 slices
Step-by-step explanation:
you figure if a toaster takes about 1-2 minutes to toast a piece of bread and a toaster usually can fit 2 slices at a time i would say 4.
Do employer-sponsored wellness programs work? About 5000 employees at the University of Illinois at Urbana-Champaign volunteered for a study to find out. Researchers randomly assigned 3300 volunteers to a treatment group and the remaining 1534 to a control group. Employees in the treatment group were invited to take paid time off to participate in a wellness program. Those in the control group were not allowed to participate. One measure of the program's effectiveness was employee attrition. In the 2-year period following the start of the study, 356 of the people in the treatment group left their job for any reason, compared to 184 of the people in the control group. Do these results provide convincing evidence at the a= 0. 05 level that offering employees paid time off to participate in a wellness program reduces the proportion who leave their job within 2 years for people similar to the ones in this study?
The research analysis computed do not give supporting evidence that employer-sponsored wellness programs work.
How to analyze the research study?From the information given, the sample proportion for treatment group will be:
= 356/3300 = 0.1078
The sample proportion for the control group will be:
= 184/1534 = 0.1199
The z value is -1.24 and the p value is given as 0.1078. In this case, we fail to reject the null hypothesis.
Therefore, the results do not provide convincing evidence that offering employees paid time off to participate on a wellness program will reduce the proportion of those who leave their job within two years.
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A runner covers the last straight stretch of a race in 4 s. During that time, he speeds up from 5 m/s to 9 m/s. What is the runner’s acceleration in this part of the race?
Given,
Time taken to cover the last last straight stretch of a race = 4 seconds
He speeds up from 5 m/s to 9 m/s
To find,
The acceleration of the runner.
Solution,
We can simply solve this numerical problem by using the following process.
Here,
Initial velocity (u) = 5 m/s
Final velocity (v) = 9 m/s
Time (t) = 4 seconds
Acceleration (a) = ?
According to the formula of kinematics,
a = (v-u)/t
a = (9-5)/4 [By putting the given values.]
a = 4/4 = 1 m/s²
(We have used SI unit of the acceleration, because all the initial physical quantities are also in SI units.)
Hence, the acceleration is 1 m/s²
Just need answer x=
Answer:
[tex]at \: y = 20 \\ x = 20[/tex]
Two points on a circle are points A(-11,7) and B(-9,-3)
1. Determine the equation of a lone containing the center of the circle
2. If the x-coordinate of the center is -5, determine the circle's center: (-5,?)
Answer:
( x + 5 )² + ( y - 3 )² = 52
Step-by-step explanation:
Let find the equation of the line going through A( - 11, 7 ) and B( - 9, - 3 )
m = [tex]\frac{-3-7}{-9+11}[/tex] = - 5
y - 7 = - 5( x + 11 )
y = - 5x - 48
Now, let find the equation of the line passing through midpoint of the segment AB
Coordinates of that midpoint is ( [tex]\frac{-11-9}{2}[/tex] , [tex]\frac{7-3}{2}[/tex] ) = ( - 10 , 2 )
Slope of the perpendicular line is [tex]\frac{1}{5}[/tex] ( opposite reciprocal of ( - 5 )
y - 2 = [tex]\frac{1}{5}[/tex] ( x + 10 )
y = [tex]\frac{1}{5}[/tex] x + 4 ........... (1)
Coordinates of an intersection of two lines (1) and x = - 5 are coordinates of the center of the circle
y = [tex]\frac{1}{5}[/tex] ( - 5 ) + 4 = 3 ⇒ y = 3
O( - 5 , 3 ) is the center
The last!! RADIUS which is OA or OB
r = [tex]\sqrt{(-5+11)^2 +(3-7)^2}[/tex] = √52
( x + 5 )² + ( y - 3 )² = 52
I need help with this problem
Answer:
y = 2x +5
Step-by-step explanation:
f(x) = y means that you want y to be on one side of the equation by itself.
so you need to isolate y.
2y - 4x = 10
first add 4x to both sides of the equation
2y = 4x + 10
then, divide by 2 on both sides to have y by itself
y = 4/2x + 10/2
finally, simplify:
y = 2x + 5
Find the width of a cereal box that has a volume of 2,310 cm3 and is 22 cm long and 21 cm high.
breadth or width = 5cm
hope it helps...!!!
find the area of the figure
thank you <3 will give brainliest
Answer:
13.5
Step-by-step explanation:
A triangles area is base x height divided by two.
Height is 3, and base is 9.
9 x 3 = 27 / 2 = 13.5
if a cars gas tank has 15 gallons of gas in it and the gauge says it the tank is 75% full how many gallons can the entire tank hold
Which equation of a line is perpendicular to y=-1/3x+4?
a. y= -1/3x +4
b. y= 3x+2
c. y= -1/3x-4
d y= 1/3x+4
Answer:
b
Step-by-step explanation:
perpendicular lines have reciprocol slopes,the given line has a gradient of _1/3 nd its reciprocal is 3
Please help i will give brainliest
Answer:
c or a one of the 2
Step-by-step explanation:
What similarities do scales share with rulers?
Answer:
Both are used to measure some things to some kind of extent.
Step-by-step explanation:
For example Rulers and Scales are used in Geometry to measure length but the extent to which a Scale can measure the length is limited wheareas the for the ruler it is unlimited.
Answer:
They both have a measuring system that looks somewhat like a numberline and they both mesure something. (Also both are referred to as a rular
Step-by-step explanation:
In scientific and engineering terminology, a device to measure linear distance and create proportional linear measurements is called a scale. A device for drawing straight lines is a straight edge or ruler. In common usage, both are referred to as a ruler.
Lol help pls ……………….
Answer:
x=23
Step-by-step explanation:
the red angle is equal 136 because a || b . I think its called altering angles or something like that . also the red angle and (x+21) angle are complementary angles (they add up to 180) thats where I got the equasion i wrote from.
use a proportion to change to the given unit
12kL = _____ L
28g = _____ mg
8 km = _____ m
2.2 g = ______ cg
7 dm = ______ m
5.5 cg = _____ dg
The diameter of a circle is 41 ft. Find its area to the nearest whole number.
Answer:A≈1320.25ft²
Step-by-step explanation:
A=1
4πd2=1
4·π·412≈1320.25431ft²
The stock market rose and fell over a
period of five days:
9. 8,-3. 5, 20. 5, 8. 6, -7. 7
Overall what was the net change in the
market?
Answer:
If your stock gains over 20% from the ideal buy point within 3 weeks of a proper breakout, hold it for at least 8 weeks.
Step-by-step explanation:
the money doesn't get redistributed to someone else.
If a point is randomly selected from the rectangular area of the graph, what is the probability that it will be in the blue region? Round answer to the nearest whole percent.
A) 49%
B) 59%
C) 69%
D) 79%
Answer:
D) 79%
Step-by-step explanation:
I had this question on USATestprep and got it right.
Express in simplest form.
Answer:
x-2/x
Step-by-step explanation:
¨/¨ means over
Answer:
(x-2)/x
Step-by-step explanation:
We can factor the numerator and denominator to see if anything simplifies.
[tex]\frac{(x-2) (x+5)}{x (x+5)}[/tex]
because (x-2)(x+5) = x² +5x-2x-10 = x² + 3x -10 and
x(x+5) = x² +5x
Simplify further
[tex]\frac{x-2}{x}[/tex]
because [(x+5) /(x+5)] = 1
Alex simplified the expression 7+(3x 1. 4)+5+2+(5x1. 4) to find the area of the figure on the grid.
What error did Alex make?
He found the perimeter of the figure instead of the area.
He added the lengths of the lines creating the indentation instead of subtracting them.
He used 5x1. 4 and 3 x 1. 4 as the length of each diagonal line instead of 5 and 3.
He added the five lengths together instead of multiplying them.
The error Alex made while simplifying the expression 7+(3x 1. 4)+5+2+(5x1. 4) is "he found the perimeter of the figure instead of the area".
How to find area of an object?The area of an object is the product of the length and width of the objects.
Alex added the dimensions of the grid instead of multiplying them.
7+(3x 1. 4)+5+2+(5x1. 4)
For instance,
Area of a rectangle = length × widthPerimeter of a rectangle = 2(length + width)Therefore, Alex found the perimeter of the figure instead of the area".
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