Answer: The first question (How much volume is left after 10 minutes) is C or 3,019.92 cubic millimeters. The second question (About how many minutes will it take for the icicle to completely melt? Round to the nearest tenth) is B or 50.3 minutes.
Step-by-step explanation:
It will take 50.2 minutes for the icicle to completely melt.
How to Find out how many minutes will it take for the icicle to completely melt? Round to the nearest tenth.
Given that An icicle has a volume of 3,7369.91 mm3.
If the icicle drips at a rate of 75 mm3 per minute
then the full volume of 3,769.91 mm3 drips at = 3,769.91mm^3/75mm^3
=> 50.2654 mins.
which is equal to 50.2 to the nearest 10th.
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a box contains 3 red marbles 6 blue marbles and 1 white marble. find the following probability. P(red and white and blue) without replacement
Answer:
3% unlikely
Step-by-step explanation:
if there are 10 marbles you can try to get 1 white, 1 blue, 1 red is't 3/10 = .3
Answer:
Blue 60%
Red 30%
White 10%
The rent for an apartment is $800 per month. The landlord charges one month’s rent as a deposit plus a nonrefundable damage cost of $250. The expression 800(n + 1) + 250 represents the cost of the renting the apartment for n months. Simplify the expression.
How much does the apartment cost to rent for 2 years?
The cost of renting the apartment for n months can be simplified to 800n + 1050. To rent the apartment for 2 years, the cost is $20,250.
Explanation:To simplify the expression, we can distribute the 800 to both terms inside the parentheses:
800 * n = 800n800 * 1 = 800Combining these terms gives us:
800n + 800 + 250
By combining like terms, we get the simplified expression:
800n + 1050
To find the cost of renting the apartment for 2 years (24 months), we substitute n = 24 into the simplified expression:
800(24) + 1050 = 20,250
Therefore, the apartment costs $20,250 to rent for 2 years.
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What is the complete factorization of x2 + 4x - 45?
OOO
A. (x + 15)(x - 3)
OB. (x-9)(x + 5)
C. (x+ 9)(x - 5)
D. (x - 15)(x+3)
Answer: c
Step-by-step explanation:
[tex]x^2+4x-45[/tex]
[tex](x+9)(x-5)[/tex]
Answer:
c
Step-by-step explanation:
A bag contains 24 blue tiles, 6 navy tiles, 10 pink tiles, and 10 orange tiles. A tile is drawn at random. What is the theoretical probability, as a decimal, of drawing a blue tile?
Answer:
.48
Step-by-step explanation:
The total number of tiles is
24+6+10+10 =50 tiles
P(blue) = number of blue tiles/total
= 24/50
=.48
Line segment MN is shown below. If point P(x,y) partitions the line segment
into the ratio MP:PN = 1:2 then determine the values of x and y.
Line segment:
Point M: (-6,2).
Point N: (9. – 4)
Answer:
P (-1 , 0)
Step-by-step explanation:
M (-6 , 2) N (9 , -4) P (x , y)
horizontal distance of M and N = 9 - (-6) = 15
vertical distance of M and N = 2 - (-4) = 6
1/3 from x coordinate of M (-6): -6 + 15/3 = -1 This is x coordinate of point P
1/3 from y coordinate of M (2): 2 - 6/3 = 0 This is y coordinate of point P
P (x , y) i.e P (-1 , 0)
check: distance of MP = √(-1 - (-6))² + (0 - 2)² = √29 = 5.385
distance of PN = √(-1 - 9)² + (0 - (-4))² = √116 = 10.77
MP / PN = 5.385 / 10.77 = 0.5 = 1/2
The values of x and y that partition the line segment MN into the ratio 1:2 are x = 3 and y = -4.
Explanation:To determine the values of x and y that partition the line segment MN into the ratio MP:PN = 1:2, we can use the section formula. The section formula states that the coordinates of a point P(x,y) that partitions a line segment with endpoints M(x1, y1) and N(x2, y2) into the ratio m: n are given by:
x = (nx1 + mx2) / (m + n)
y = (ny1 + my2) / (m + n)
In this case, M(-6, 2) and N(9, -4), and the ratio is 1:2. Plugging these values into the section formula, we get:
x = (2*9 + 1*(-6)) / (1 + 2) = 3
y = (-4*2 + 2*(-4)) / (1 + 2) = -4
Therefore, the values of x and y that partition the line segment MN are x = 3 and y = -4.
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Vijay has a collection of 50 number cubes that are each 1 cubic inch. He finds a box that is 2 inches high. He fits 10 cubes into the bottom of the box. Can Vijay fit all his number cubes into the box? How many can he fit in?
Answer:
Vijay cannot fit all the cubes into the box, he can only fit 20 cubes into the box
10 x 2 = 20 cubes
He would need 5 boxes to fit all the cubes
Hope this helps <3
Tim has two spinners , spinnerA and spinner B. Each spinner can only land on red or blue . The probability that spinner A will land on red is 0.5. The probability that spinnerB will land on red is 0.6. Tim spins spinner A once and he spins spinnerB once. He does this a number of times . The number of times both spinners land on red is 84. Workout an estimate for the no of time both spinners land on blue.
Answer:
56Step-by-step explanation:
Spinner A
Probability of red = 0.5, Probability of blue = 0.5Spinner B
Probability of red = 0.6, Probability of blue = 0.4Probability of both A and B land on red:
0.5*0.6= 0.3Number of attempts to get outcome of 84 red on both spinners is:
84/0.3= 280Probability of both spinners land on blue:
0.5*0.4= 0.2Estimated number of both spinners land on blue:
280*0.2= 56The estimated number of times that both spinners will land on blue is 56 times. This was calculated based on the number of times both spinners land on red and the probabilities of each spinner landing on blue.
Explanation:This problem deals with the subject of probability. Since we know that the number of times both spinners (A and B) land on red is 84, we can use this as a base to find the probability for each to land on blue.
The probability of spinner A landing on red is 0.5, therefore the probability of it landing on blue will also be 0.5 (1-0.5=0.5). Similarly, the probability of spinner B landing on red is 0.6, thus the probability of it landing on blue is 0.4 (1-0.6=0.4).
To get the overall probability of both spinners landing on blue, we multiply the probabilities for each individual spinner. Hence, the overall probability is 0.5 * 0.4 = 0.2.
Finally, to find the estimated number of times both spinners will land on blue, we can divide the number of times both spinners land on red (84) by the ratio of the probability for both landing on blue to the probability for both landing on red, yielding an estimate of 84 * (0.2 / 0.3) = 56 times.
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What is the equation used to find the nth term of the arithmetic sequence: -9, -4 1, 6, 11...
a^n =-9-5n
a^n =5-9 (n-1 )
a^n =−9+(n−1)⋅5
a^n=-9 (5)^(n-1)
Answer:
a^n=-9+(n-1).5
Step-by-step explanation:
Arithmetic sequence=a+(n-1)d
a=-9
n=?
d=+5
Arithmetic sequence=-9+(n-1)5
=-9+5n-5
Collect like terms
-9-5+5n
-14+5n
So the final answer is
an=-9+(n-1).5
The diameter of a circle is 8 inches. What is the area?
8 pi inches squared
16 pi inches squared
32 pi inches squared
64 pi inches squared
Answer:
1 6 p i s q u a r e s i s m y f i n a l a n s w e r ! ! ! y o u r w e l c o m e
A cone frustum is inscribed in a sphere of radius 13. If one of the bases of the frustum is a great circle of the sphere, and the other base has radius 12, what is:
The height of the frustum?
Answer:
5
Step-by-step explanation:
According to the question, A cone frustum is inscribed in a sphere of radius 13. If one of the bases of the frustum is a great circle of the sphere, and the other base has radius 12.We are now asked to find the height of the frustum.
---The height of this frustum is equal to the distance of its smaller base from the center of the sphere.
Therefore,it is assigned the pattern
H = √(r1² - r2²
Where r1 is the radius of the sphere
And r2 is the radius of the other base of the frustum
H is the height that we are looking for
H = √(13² - 12²)
= √( 169 - 144 )
= √ 25
H = 5
Final answer:
The height of the frustum inscribed in a sphere with a radius of 13 and one base having a radius of 12 is found to be 10 units using the Pythagorean theorem.
Explanation:
To find the height of the frustum inscribed in a sphere of radius 13, where one base is a great circle of the sphere, and the other base has radius 12, we can use geometry and Pythagorean theorem.
Consider the right triangle formed by the radius of the sphere, half of the frustum height (since the center of the sphere is midway of the frustum's height for the configuration given), and the radius of the smaller base of the frustum.
The radius of the sphere is 13, and the radius of the smaller base is 12.
Using the Pythagorean theorem (a² + b² = c²), we can find the half-height of the frustum.
So, we have:
122 + b² = 132
144 + b² = 169
b² = 25 => b = 5
Thus, the full height (h) of the frustum is 10 units.
Find the measure of the angle indicated.
Answer:
110 degrees
Step-by-step explanation:
the angles are alternate exterior angles which means that they are the same
Answer:
110
Step-by-step explanation:
The angles are the same according to the corresponding angle postulate.
PLZZ HELP IM STUPITT SORRY AND HURRYYYY
Answer:
9.9 cm²
Step-by-step explanation:
Base = 2.6x3 which is 7.8/ 2 is 3.9.
Faces = 4x3 which is 12/2 is 6
Then, add those together to get 9.9
A person invests 9500 dollars in a bank. The bank pays 5.75% interest compounded quarterly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 12600 dollars?
To determine the time necessary for an investment to grow from $9,500 to $12,600 at an interest rate of 5.75% compounded quarterly, the compound interest formula is rearranged and solved for time, yielding approximately 6.6 years.
Explanation:To find out how long it takes for an investment to grow from $9,500 to $12,600 with an interest rate of 5.75% compounded quarterly, we use the formula for compound interest: A = P(1 + r/n)^(nt), where:
A is the amount of money accumulated after n years, including interest.P is the principal amount (the initial amount of money).r is the annual interest rate (decimal).n is the number of times that interest is compounded per unit t.t is the time the money is invested for in years.In this case, we're solving for t, so we rearrange the formula: t = ln(A/P) / (n * ln(1 + r/n)). Substituting the provided values:
P = $9,500A = $12,600r = 0.0575 (5.75% expressed as a decimal)n = 4 (since interest is compounded quarterly)Thus, t = ln(12600/9500) / (4 * ln(1 + 0.0575/4)). After calculating, we find that t ≈ 6.6 years, rounded to the nearest tenth of a year.
The person must leave the money in the bank for approximately 5.4 years until it reaches $12600, with interest compounded quarterly.
To find out how long it takes for the investment to reach $12600 at a 5.75% interest compounded quarterly, we can use the formula for compound interest:
[tex]\[ A = P \left(1 + \frac{r}{n}\right)^{nt} \][/tex]
Where:
- A is the amount of money accumulated after t years, including interest.
- P is the principal amount (the initial amount of money).
- r is the annual interest rate (in decimal).
- n is the number of times interest is compounded per year.
- t is the time the money is invested for, in years.
We want to find t, so we can rearrange the formula to solve for t:
[tex]\[ t = \frac{\log\left(\frac{A}{P}\right)}{n \cdot \log\left(1 + \frac{r}{n}\right)} \][/tex]
Given:
- P = 9500
- A = 12600
- r = 0.0575 (5.75% expressed as a decimal)
- n = 4 (quarterly compounding)
Substituting these values into the formula:
[tex]\[ t = \frac{\log\left(\frac{12600}{9500}\right)}{4 \cdot \log\left(1 + \frac{0.0575}{4}\right)} \][/tex]
[tex]\[ t = \frac{\log\left(\frac{12600}{9500}\right)}{4 \cdot \log\left(1 + 0.0575/4\right)} \]\[ t \approx \frac{\log(1.32631579)}{4 \cdot \log(1.014375)} \]\[ t \approx \frac{0.12224324}{4 \cdot 0.00570388} \]\[ t \approx \frac{0.12224324}{0.02281552} \]\[ t \approx 5.361 \][/tex]
Rounded to the nearest tenth, it takes approximately 5.4 years for the investment to reach $12600 at 5.75% interest compounded quarterly.
NEED HELP URGENTLY!!!!
The population of the United States in 2005 was approximately 295,500,000 and the land area was 3,806,000 square miles. The population increased by 5.1% in 2015. To the nearest whole number, how much did the population density, in people per square mile, increase from 2005 to 2015?
3
4
5
6
Answer:
4 people per square mile
Step-by-step explanation:
----Population density = number of people divided by land area.
Back I 2005,the population density of the US was: 295500000/3806000= 77.6 people per square miles.
----If the population increased by 5.1%,the new population of residents in the US will be
100% + 5.1% = 105.1%
105.1/100 × 295500000
= 310,570,500.
--- The new population density of the US in 2015 will be
310,570,500 ÷ 3,806,000
= 81.6 persons per square mile
---- To find out the difference in population from 2005 to 2015,we have to do nothing else but subtract the Population Density (PD) of 2015 from 2005
81.6 - 77.6 = 4 persons per square mile
It’s not A can someone plz help me with this
Answer:
x = 4.92
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hypotenuse
sin 38 = x/8
Multiply each side by 8
8 sin 38 = x/8 *8
8 sin 38 = x
4.925291803 =x
Which is better for value. I need the workings out too
600g of honey for £4.25 or 1kg of honey for £6.99
Can someone please help me and explain how you did it thank you very much! :)
Answer:
Buying the 1kg is a better value.
Step-by-step explanation:
okay so 1000g for every 1kg
so first we will find out how much the 600g would cost if it was 1kg
(ill be using $ instead of £)
600g/$4.25=1000g/? (finding the question mark which will be "x")
you cross multiply so 600x = 4.25×1000
600x = 4250
then cancel out the 600 so x is left, since the 600 is multiplying into the x, you would divide it out to cancel. so
600x=4250
_________ <(dividing)
600 600
so it would be
x= 7.08
which means it is $7.08 which is NOT better for value because it is 9 cents more than just buying the 1kg.
:) How
any nore novies does Student B have than Student A?
Sudent A OOOO
Sudent B 0000000
2 more
8 times as many
4 more
4 times as many
Answer:
student b has 4 more movies
Step-by-step explanation:
Answer:
4 more
Step-by-step explanation:
Which system of equations represents this situation? 25 Points!! Look at pictures
Answer:
C
Step-by-step explanation:
the variables in this system of equations are b and p these represent distance walked.
4b + 5p = 2 represents the total amount of time the walk takes
b + p = 8 represents the total distance walked :)
The answer isn't A only because the word problem states that from her house to the beach, it should be represented as b. And p for the beach to the park.
Find the 5th term of the expansion of ( 6x + 6y)^11
The 5 th term of the given expression is 330[tex](6x)^{7}( 6y)^{4}[/tex].
Step-by-step explanation:
Given,
[tex](6x+6y)^{11}[/tex]
To find the 5th term of the given expression.
Formula
In a binomial series [tex](a+b)^{n}[/tex], the r th term is = nC(r-1) [tex]a^{n-r-1} b^{r-1}[/tex], where,
nC(r-1) = [tex]\frac{n!}{(r-1)!(n-r+1)!}[/tex]
Now,
Putting, n=11, r = r, a=6x and b=6y we get,
5 th term = 11C4[tex](6x)^{7}( 6y)^{4}[/tex]
= [tex]\frac{11!}{4!7!}[/tex][tex](6x)^{7}( 6y)^{4}[/tex]
= [tex]\frac{11X10X9X8X7!}{7!X4X3X2X1}[/tex][tex](6x)^{7}( 6y)^{4}[/tex]
= 330[tex](6x)^{7}( 6y)^{4}[/tex]
Here is the answer.
Help :( I suck at math
Answer:
D
Step-by-step explanation:
For some side lengths to create a triangle, any two of the side lengths must have an added length together of less than the third leg. Otherwise, the vertices would simply not be able to be connected by the lines. In a), 3+5=8, but since it is not more, the triangle will not be able to be formed (it would basically just be a line.) In B, 7+8< 16. In C, there is the same situation as with the first example (4+15=19). Finally, in the last one, 5+7>12, and all of the side lengths work out. Therefore, the correct answer is D. Hope this helps!
john made two candles in the shape of rectangular prisms. The first candle is 12cm high, 4 cm long, and 6 cm wide. The second candle is 4 cm higher, but has the same length and width. How much additional wax was needed to make the taller candle?
Answer:
96[tex]cm^3[/tex]
Step-by-step explanation:
To determine how much additional wax was needed to make the taller candle, we determine the volume of each of the candles and find the difference in their volumes
First Candle
Height=12cmLength=4 cmWidth= 6 cmVolume=Height X Length X Width
=12 X 4 X 6
=288[tex]cm^3[/tex]
Second Candle
The second candle is 4cm higher
Height=12+4=16cmLength=4 cmWidth= 6 cmVolume=Height X Length X Width
=16 X 4 X 6
=384[tex]cm^3[/tex]
Difference in Volume = 384-288 =96[tex]cm^3[/tex]
Therefore, 96[tex]cm^3[/tex] of additional wax was used to make the second candle.
There are 7 math folders on a classroom shelf. This is 1/3 of the total number of math folders in the classroom. what is the total of number of math folders in the classroom?
Answer: 21
Step-by-step explanation:
1/3 = 7
7 * 3 = 21
1/3 = 7/21
Answer:
21
Step-by-step explanation:
The Cold Be Gone Company conducted a study where 100 participants were assigned to either receive a cold
medicine or not receive a cold medicine. The Cold Be Gone Company then recorded whether the participant's
cold lasted 7 days or longer. The Venn diagram below shows their data.
Complete the following two-way frequency table.
Received cold medicine
Did not receive cold medicine
Cold lasted longer than 7 days
Cold did not last longer than 7 days
Cold medicine
Cold longer than 7 days
27
23
20
30
Answer: Received cold medicine Did not receive cold medicine
Cold lasted longer than 7 days 23 20
Cold did not last longer than 7 days 27 30
Step-by-step explanation:
i hope it helps
To complete the two-way frequency table, calculate the values for each cell based on the given information.
Explanation:To complete the two-way frequency table, we need to fill in the missing values. Given that there are 100 participants in total, we can calculate the value for each cell. Starting with the top left cell, which represents participants who received the cold medicine and had their cold last longer than 7 days, the value would be 27. Similarly, we can calculate the values for the other cells in the table.
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A bowling team participates in a two-day tournament and records the scores for each team member on both days. The scores for both days are represented by the box plots below.
A. The scores on Friday and the scores on Saturday have the same median and interquartile range.
B. The scores on Friday have a greater median and a greater interquartile range than the scores on Saturday.
C. The scores on Friday have a greater interquartile range than the scores on Saturday, but both data sets have the same median.
D. The scores on Friday have a greater median than the scores on Saturday, but both data sets have the same interquartile range.
The scores on Friday have a greater median than the scores on Saturday, but both data sets have the same interquartile range.
What is Median?The median is the value that's exactly in the middle of a data set when it is ordered. It's a measure of central tendency that separates the lowest 50% from the highest 50% of values. The steps for finding the median differ depending on whether you have an odd or an even number of data points
Arrange the data points from smallest to largest.
If the number of data points is odd, the median is the middle data point in the list.
If the number of data points is even, the median is the average of the two middle data points in the list.
Given data ,
From the given boxplot we can deduce the following points:
On Friday: Q₁ = 200, Q₂ = 215, Q₃ = 220 and IQR = 20.
On Saturday: Q₁ = 190, Q₂ = 205, Q₃ = 210 and IQR = 20.
And , the median of the data on Friday is M₁ = 220
And , the median of the data on Saturday is M₂ = 205
So , scores on Friday have a greater median than the scores on Saturday
Hence , the median is solved
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The complete question is attached below :
A bowling team participates in a two-day tournament and records the scores for each team member on both days. The scores for both days are represented by the box plots below.
A. The scores on Friday and the scores on Saturday have the same median and interquartile range.
B. The scores on Friday have a greater median and a greater interquartile range than the scores on Saturday.
C. The scores on Friday have a greater interquartile range than the scores on Saturday, but both data sets have the same median.
D. The scores on Friday have a greater median than the scores on Saturday, but both data sets have the same interquartile range.
If the technician charged $327.50, then the technician worked ___
hours.
If the technician charges $327.50, then the technician worked 5.95 hours.
To determine how many hours the computer technician worked, we need to set up an equation based on the information provided. Let:
- [tex]\( F \)[/tex] represent the flat rate for home visits.
- [tex]\( h \)[/tex] represent the number of hours worked.
- [tex]\( 55h \)[/tex] represent the hourly charge ($55 per hour).
The total charge is given as $327.50. The equation for the total charge is:
[tex]\[F + 55h = 327.50\][/tex]
Without the flat rate [tex]\( F \)[/tex] provided, we can't determine [tex]\( h \)[/tex] exactly. However, let's assume that [tex]\( F \)[/tex] is included in the total cost as a constant and solve for [tex]\( h \)[/tex] based on the given rate per hour.
First, let's isolate [tex]\( h \):[/tex]
[tex]\[55h = 327.50 - F\\\\h = \frac{327.50 - F}{55}\][/tex]
Since the exact flat rate [tex]\( F \)[/tex] isn't given, let's assume it's zero for this case:
[tex]\[h = \frac{327.50}{55}\][/tex]
Now, calculate [tex]\( h \):[/tex]
[tex]\[h = \frac{327.50}{55} = 5.95 \text{ hours}\][/tex]
Therefore, if the technician charges $327.50 for 5.95 hours worked and assuming no flat rate, the technician worked approximately [tex]\( 5.95 \)[/tex] hours.
The complete question is:
A computer technician charges a flat rate for home visits plus $55 per hour. If the technician charged $327.50, then the technician worked how many hours?
How do you write that in Standard Form?
Please help I will mark brainliest and worth 50 points.
Hope this will help u...
Answer:
9u(v²u+v³-5u³)
Hope this Helps You !!!
Please mark me as Brainliest
PLEASE PLEASE HELP the question is below
Answer:
24
Step-by-step explanation:
First do parenthesis:
3*(9+1)-6 -> 3*(10)-6
Then do multiplication:
3*(10)-6 -> (30)-6
Then complete it with subtraction:
(30)-6 -> (24)
So your answer would be 24!
PEMDAS= Parenthesis, Exponents, Multiplication, Division, Add, Subtract.
(Algebra Word Problems) Janice, Rene, and Lucinda shared a summer
babysitting job. Janice babysat twice as many hours as Rene. Lucinda
babysat 10 more hours than Janice. If r represents the number of hours
that Rene babysat, which expression represents the number of hours that
Lucinda babysat? *
R+10
2r + 10
2(r + 10)
10 x 20
Answer:
r2+A
Step-by-step explanation:
lalalalalalalalalalalalala
Simplify.
(2x^2-5x+3) - (-x^2+4x-5)
Answer:
x^2-9x+8
Step-by-step explanation:
(2x^2-5x+3)-(-x^2+4x-5)
Open the bracket first
2x^2-5x+3+x^2-4x+5
Collect like terms
2x^2+x^2-5x-4x+3+5
x^2-9x+8
So the final answer is x^2-9x+8
Multiplying polynomials and simplifying expressions
Given:
[tex](y-4 x)\left(y^{2}+4 y+16\right)[/tex]
Resulting form = [tex]y^{3}+4 y^{2}+a y-4 x y^{2}-a x y-64 x[/tex]
To find:
The value of a in the polynomial.
Solution:
[tex](y-4 x)\left(y^{2}+4 y+16\right)[/tex]
Using distributive property:
[tex]a(b+c)=a b+a c[/tex]
[tex](y-4 x)(y^{2}+4 y+16)=y(y^{2}+4 y+16)-4 x(y^{2}+4 y+16)[/tex]
Now multiply each of the first term with each of the second term.
[tex]=y y^{2}+y \cdot 4 y+y \cdot 16+(-4 x) y^{2}+(-4 x) \cdot 4 y+(-4 x) \cdot 16[/tex]
Applying plus minus rule: [tex]+(-a)=-a[/tex]
[tex]=y^{2} \cdot y+4 y\cdot y+16 y-4 y^{2} x-4 \cdot 4 y x-4 \cdot 16 x[/tex]
Apply the exponent rule: [tex]a^{b} \cdot a^{c}=a^{b+c}[/tex]
[tex]=y^{3}+4 y^2+16 y-4 y^{2} x-16 y x-64 x[/tex]
Let us compare this with the given resulting form:
[tex]=y^{3}+4 y^{2}+a y-4 x y^{2}-a x y-64 x[/tex]
On comparing above two expression, we get a = 16.
The value of a in the polynomial is 16.