The difference is a binomial with a degree of 6.
What is Degree of polynomial?
The highest power of the variable in a polynomial is called the degree of the polynomial.
The polynomials are given as;
(a³b + 9a²b² - 4ab⁵) and (a³b - 3a²b² + ab⁵)
Now, The difference of the polynomial calculated as;
(a³b + 9a²b² - 4ab⁵) - (a³b - 3a²b² + ab⁵)
a³b + 9a²b² - 4ab⁵ - a³b + 3a²b² - ab⁵
12a²b² - 5ab⁵
Hence, Degree of polynomial = 1 + 5 = 6
So, The difference is a binomial with a degree of 6.
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For each equation, find the center and radius of the circle.
x²+(y+3)²=25
Find the missing term of each arithmetic sequence....., -3 , |||, 8, . . . .
The missing second term of the given arithmetic sequence is: 2.5.
What is arithmetic progression?A series of numbers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.
given: -3, __, 8 is an arithmetic sequence, where a₁ = -3 and a₃ = 8
Now, as [tex]a_n=a_1+(n-1)d[/tex], for the nth term of an arithmetic sequence,
For n = 3, a₃ = -3 + (3 - 1)d
=> 8 = -3 + 2d
=> 11/2 = d
=> d = 5.5
Hence, a₂ will be given as n = 2, in the above formula
=> a₂ = -3 + (2 - 1) (5.5)
=> a₂ = -3 + 5.5
=> a₂ = 2.5
Hence, The missing second term of the given arithmetic sequence is: 2.5.
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ilhan begin her training at 7:22 am. she crossed the finish line at 8:07 pm, after swimming 2.4 miles, cycling 112 miles and running 26.2 miles. find her average speed of the race
Ilhan's average speed in the race is 11.03 miles per hour.
What is the average speed?The average speed is a scalar measure of the total distance divided by the total time.
The average speed shows an object's displacement rate from one point to another.
Speed measures the rate of fastness, while the average speed shows the average rate of fastness of an object in movement.
The average speed is measured in magnitude without direction as a scalar quantity.
Data and Calculations:Beginning time for the race = 7:22 am
Ending time for the race = 8:07 pm
Time used = 12hours 45 minutes or 12.75 hours (8:07 pm - 7:22 am)
Distance:Swimming 2.4 miles
Cycling 112 miles
Running 26.2 mile
Total distance = 140.6 miles
Average speed = Distance/Time
= 11.03 miles per hour (140.6/12.75)
Thus, Ilhan's average speed in the race is 11.03 miles per hour.
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The formula for calculating the volume of a cone is V=1/3(pi)r(to the third power)h. Solve this formula for h.
The expression for the height is given as 3V/pir³
Volume of coneA cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the ape-x or vertex.
The formula for calculating the volume of a cone is expressed according to the equation;
V = 1/3pir³h
We are to make h the subject of the formula;
V = 1/3pir³h
Cross multiply
3V = pir³h
Divide both sides by pir³
3V/pir³ = pir³h/pir³
3V/pir³ = h
Swap
h = 3V/pir³
Hence the expression for the height is given as 3V/pir³
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What is the slope of y= 3
Answer:
{36+7[6-2(10÷)+9(2)]}÷4
1) True OR
False
18+27 is equal to 3(6 + 27)
Answer:
false
Step-by-step explanation: You start by answering what's n parenthesis first (pemdas) 3(27 + 6) =
. 3 • 33=
. 99 then answer the second. Problem 18 + 27= 45
So now you know 99>45 which means answer is false
Jackson Middle School sells bags of popcorn on Fridays for $2.50. Amal borrowed popcorn money from Bella for three weeks, and paid back 1/2. Which
expression shows how much money Amal owes Bella.
O x 3(-2.5)
O-2.5 (3)
O + 2.5 (3)
○ 3 (2.5)
Correct answer is A. Amal owes Bella x 3(-2.5)
What is linear equation?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) component are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
Given,
School sells bags of popcorn on Fridays for $2.50.
money paid back to Bella after 3 weeks - 1/2
⇒ Amal owes Bella = x 3(-2.5)
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Determine whether each infinite geometric series diverges or converges.
If the series converges, state the sum. 1+ 1/4 + 1/16 + . . . .
Determine whether each infinite geometric series diverges or converges. The series converges.
If the series converges, state the sum. 1+ 1/4 + 1/16 + . . . .
The sum of the infinite series is 4/3
What is the sum of the infinite series?
Given:
[tex]a(\text{ the first term })=1\\\\r=\frac{a_{2} }{a_{1} } =\frac{1/4}{1} =\frac{1}{4}\\[/tex]
Since [tex]\vert r \vert < 1[/tex] , the infinite series converges.
The sum of infinite geometric series is:
[tex]S_\infty=\frac{a}{1-r} ; -1 < r < 1\\\\S_\infty=\frac{1}{1-\frac{1}{4}}=\frac{4}{3}[/tex]
The sum of the infinite series is 4/3
What is an infinite geometric series?
The result of an endless geometric sequence is an infinite geometric series.There would be no conclusion to this series.The total of all finite geometric series can be determined.However, if the common ratio of an infinite geometric series is bigger than one, the terms in the sequence will grow steadily larger, and adding the larger numbers together will not yield a solution.To learn more about infinite geometric series, refer:
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Suppose you pull a card from a standard 52-card deck. Find the probability of following event. The card is a 4 .
1/2 is the probability of following event. The card is a 4 .
In statistics, what does a probability mean?
The probability serves as a gauge for how likely an event is to occur. It gauges how likely an event is. P(E) = Number of Favorable Outcomes/Number of Total Outcomes is the formula for probability.In a standard 52 card deck, there are 4 categories each having 13 cards.
Spades ; Hearts ; Diamonds ; Clubs
Hearts and Diamonds are red.
No. of red cards= 13 x 2 = 26
Probability, P(r) = No. of red cards/ Total no. of cards
P(r) = 26/52 = 1/2
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What is the answer to this problem?
Answer:
7 + 3 * x = 52
x = 15
Step-by-step explanation:
Let's call the number x.
The sum of seven and three times a number is 52
Let's substitute x for "a number" and write it mathematically:
7 + 3 * x = 52
3 * x = 52 - 7
3 * x = 45
x = 15
2 (x + 6) simplify
will give brainlist if show me steps with numbers, please help!
Answer:
2x + 12
Step-by-step explanation:
Use the distributive property of multiplication over addition.
2(x + 6) = 2 × x + 2 × 6 = 2x + 12
6(-3) exponets 2 + 4(7)
Answer: 82
Step-by-step explanation:
WILL GIVE BRAINLIEST
Describe at least one similarity between the perfect square trinomial and the difference of squares. You can use either the form you wrote in 1a and 2a, or you can use their factored form from 1b and 2b. Write your answer using complete sentences.
b. Describe at least one difference between the perfect square trinomial and the difference of squares. You can use either the form you wrote in 1a and 2a, or you can use their factored form from 1b and 2b. Write your answer using complete sentences.
Answer:
Similarities: They both are polynomials of degree 2, both of their graphs is a parabola, both have either 2 or 0 real solutions, they are both continuous functions over R
(DOS= difference of two squares, PST=perfect square trinomial
Differences: PST has three terms, whereas the difference of squares has 2. PST's factors are both the same, whereas DOS's elements are conjugates of each other. DOS can always be factored into two distinct polynomials with rational coefficients, whereas PST has two same polynomial factors.
Step-by-step explanation:
Three cards are randomly chosen from a deck of 52 cards without replacement. What is the probability that they will all be red?
The probability that all three cards will be red is [tex]\frac{2}{17}[/tex]
In a deck of cards, the total number of cards is 52.
The total number of red cards in a deck is 26 i.e., half the total number of cards.
Selection of 3 cards from 52 cards is done according to 52C3.
Selection of 3 cards from 26 red cards is done according to 26C3.
∴ Probability = [tex]\frac{Favorable Outcomes}{Total Outcomes}[/tex]
= [tex]\frac{26C3}{52C3}[/tex]
= [tex]\frac{2600}{22100}[/tex]
= [tex]\frac{2}{17}[/tex].
Hence, the probability that all three chosen cards from the deck of 52 cards will be red is [tex]\frac{2}{17}[/tex].
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sowjjwhsixjsbisisjss isjdheukshsbwikwwn jwkejhwwbbsjkskd
thanks man you gudjkkhshsj
The grounds crew needs to mow the football field before their next game. Mr. Comb can mow the field in 5 hours, and Mr. Ramset can mow the same field in 4.5 hours. If they worked together, how long would it take for both of them to mow the field if they worked together? Round your answer to the nearest minute.
Answer:
2 hours and 22 minutes
Step-by-step explanation:
Rate x Time = jobs
Mr. Comb's rate is 1 field in 5 hours or 1/5.
Mr. Ramset's rate is 1 fiend in 4.5 hours.
If we take the time and rate that it takes Mr. Comb's to mow one field and add it to the time and rate that it takes Mr. Ramset's to move one field we can find out how long it takes them to mow one field together
RT + RT = 1 (job)
1/5T + 1/4.5T = 1 We need a common denominator. I just multiplied 5 x 4.5 for get 22.5 Rewrite 1/5 and 1/4.5 with a common denominator or 22.5 we get the equivalent fractions that we can add together.
4.5/ 22.5T + 5/22.5T = 1 Add the fractions together
9.5/22.5T = 1 We want to solve for T, so we will multiply both sides of the equation by 22.5/9.5
9.5/22.5(22.5/9.5)T= 1 22.5/9.5
T = 22.5/9.5 When I divide these, I get 2 35/95 hours. I need to change the fraction part of an hour to minutes. I will use the unit multiplies 60 minutes/ 1 hour.
35hours/95 (60 minutes/1 Hour) = 22.10526331579. I need to round this to the nearest minutes which will be 22 minutes.
For which value of a are the graphs of –4 = 3x + 6y and ax – 8y = 12 parallel?
a = –4
a =
a =
a = 2
For both graphs to be parallel, the value of a = -1/2.
What are the Equations of Parallel Graphs?If two graphs are parallel, their equation expressed in slope-intercept form y = mx + b, will have the same value of m which is the slope of the graphs.
Given, 4 = 3x + 6y, rewrite both equations in slope-intercept form:
4 = 3x + 6y
-3x + 4 = 6y
-3x/6 + 4/6 = 6y/6
-1/2x + 2/3 = y
y = -1/2x + 2/3 [slope (m) = -1/2]
This means that for both graphs to be parallel, the value of a = -1/2.
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Answer:
-4 smh
Step-by-step explanation:
ono edge
I’m confused on this one so help would be great
Answer:
Step-by-step explanation:
Of the flowers in Rey's yard, 1/3 are tulips and
1/13 are roses. What
fraction of the flowers in Rey's yard are either tulips or roses?
are tulips and
Answer:
16/39
Step-by-step explanation:
1/3=13/39
1/13=3/39
13/39+3/39=16/39
PLEASE HELPP
URGENT ! :3
Answer:
first is positive
second is also positive
third id negative
forth is also negative
Step-by-step explanation:
1) and 2) It is because there is no sign before the solution.
for 3) and 4) there is a - (minus) sign before the product so the solution is negative.
you buy 3.7 pounds of trail mix the mix cost 2.92 per pound what is the total price for the mix
Answer
3.7lb=
2.92=
lb=
6.63
Step-by-step explanation:
My little sister, Savannah, is three years old and has a piggy bank that she wants to fill. She
started with five pennies and each day when I come home from school, she is excited when I give
her three pennies that are left over from my lunch money. How much money will Savannah have
after 10 days? How many days will it take for her to have at least $1.50? Justify your answer with
a mathematical model of the problem situation.
Answer:
35 pennies
Step-by-step explanation:
Savannah started with 5 pennies. You gave her 3 pennies each day for 10 days. The first day you gave her 3 pennies she now has 8. Now the for the second day you add 3 to 8 which 11. You keep adding 3 each day for 10 days.
Easiest way: 10×3=30 30+5=35
She will have 35 pennis after 10 days.
I answered the first question where it asked: "How much money will Savannah have after 10 days."
The length of a rectangle is 4 less than 5 times its width? If the perimeter of the
rectangle is 112 square feet, what is the length and width of the rectangle?
The length and width of the rectangle is 46 feet and 10 feet respectively.
Let the length of the rectangle be x and the width of the rectangle be y.
Now, the length of the rectangle is 4 less than 5 times its width.
Therefore,
x = 5y - 4
The perimeter of a rectangle is given as two times the sum of its length and breadth.
Perimeter = 2( length + breadth)
P = 2( x + y)
Now, the perimeter of the rectangle is 112 square feet.
Therefore,
112 = 2( 5y - 4 + y)
( 112 /2) = 5y - 4 + y
6y - 4 = 56
6y = 56 + 4
6y = 60
y = ( 60 / 6)
y = 10
Now,
x = 5y - 4
x = 5 × 10 - 4
x = 50 - 4
x = 46
So, the length of the rectangle is x = 46 feet and the breadth of the rectangle is y = 10 feet.
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determine measure of the third angle
Answer:
48°
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180°.
We can use this information to find the value of third angle, represented with x.
70 + 62 + x = 180 add like terms
132 + x = 180 subtract 132 from both sides
x = 48°
Daniel and Lolita are translating ΔXYZ along <2,2> and reflecting it in the line y = 2. Daniel says that the transformation is a glide reflection. Lolita disagrees and says that the transformation is a composition of transformations. Is either of them correct? Explain your reasoning.
A glide reflection is a translation followed by a reflection in a line parallel to the translation vector.
A glide translation is what?
A glide reflection is made up of a translation and a reflection in which the translation and the reflection are parallel to each other or the direction of the translation. A gliding reflection has opposite isometry and is -commutative.when a figure is subjected to one transformation before another is applied?
A(n) example of this is when a transformation is applied to a figure, and then a different transformation is applied to its image (composition of transformations, order of symmetries).Composition of transformations; the number of times a figure maps to itself when rotated is determined by the order of symmetries. 2.Learn more about glide reflection
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Type the correct answer in the box. use numerals instead of words. jon is 3 years younger than laura. the product of their ages is 1,330. if j represents jon’s age and represents laura’s age, what value of j could be jon’s age?
The Jon's age is 35 years.
We are given the product of ages of both the persons. Also, we are given Jon's age = j years and Laura's age = (j + 3) years. So, representing the given information in mathematical expression form -
j × (j + 3) = 1330
Performing multiplication on Left Hand Side of the equation to find the value of j
j² + 3j = 1330
Shifting 1330 to Left Hand Side of the equation to find the value of j
j² + 3j - 1330 = 0
Solving the mentioned quadratic equation by factorization -
j² + 38j - 35j - 1330 = 0
Further solving the quadratic equation -
j (j + 38) -35 (j + 38) = 0
(j + 38) (j - 35) = 0
j = 35, -38
The age of Jon can not be negative. So, the age of Jon will be 35 years.
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The complete question is -
Jon is 3 years younger than Laura. The product of their ages is 1,330. If j represents Jon's age and j + 3 represents Laura's age, what value of j could be Jon's age?
Approximate 11 plus cube root of 49 to the nearest tenth.
A. 12.3
B. 13.7
C. 14.7
D. 18.0
Answer:
C. 14.7
Step-by-step explanation:
I did it on my calculator
How many ways can five of the letters of the word ALGORITHM be selected and written
in a row if the first two letters must be TH?
There are 210 ways to write 5 of the letters of the word ALGORITHM in a row if the 2 two letters must be TH
Given data
the word ALGORITHM
the first two letters must be TH
How to find number of ways 5 letters of the word AGORITHM will be selected and written in a row if the first two letters must be THALGORITHM has 9 letters and order of writing the letters is important, so we use Permutation to solve this
The 2 letters TH are fixed and this reduces the number of letters in the word from 9 to 7. Also, the the first two being fixed reduces the letters arrangement to be 3.
This means that we have the arrangement as follows:
7P3
= 7! / ( 7 - 3 )!
= 7! / 4!
= 7 * 6 * 5 * 4! / 4!
= 7 * 6 * 5
= 210 ways
Hence there are 210 ways to write 5 of the letters of the word ALGORITHM in a row if the 2 two letters must be TH
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Show Answer
80. Cowboys The 2011 roster of the Dallas Cowboys professional football team included
7 defensive linemen. Their weights (in pounds) were 321, 285, 300, 285, 286, 293,
and 298. Calculate the mean. Show your work.
Mean = 295.4
321, 285, 300, 285, 286, 293,298
Solution:
The mean refers to the average of a set of values. The mean can be computed in a number of ways, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations), the geometric mean, and the harmonic mean
or
Mean is nothing but the average of the given set of values. It denotes the equal distribution of values for a given data set. The mean, median and mode are the three commonly used measures of central tendency.
Mean :
Mean is a statistical concept that carries a major significance in finance and is used in various financial fields and business valuation. Mean, median, and mode are the three statistical measures of the central tendency of data.
Let there be "n" number of items in a list.
mean of data = sum of data/number of data
= 321 + 285 + 300 + 285 + 286 + 293 + 298 / 7
= 2098/7
= 295.4
Mean = 295.4
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Translate the triangle. Then enter the new coordinates.
question down below^^
Answer:
a = 2, 4
b = 3,0
c =1,2
Step-by-step explanation:
