Find the difference of the polynomials. Write the result in standard form.
(33r3s3-16rt7+72s5t2) - (24rt7 - 18s5+2 – 47r³s3)
A 8rt7+90s5t2 +80r3s3
B-40rt7 +54s5t2 -14r3s3
C 8rt7+54s5t2 -14r3s3
D-40rt7+90s5t2 +80r3s3

Answers

Answer 1

The difference of the polynomial is -40rt⁷+90s⁵t² +80r³s³. the correct option is D.

What are polynomials?

A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.

The given expression is (33r³s³-16rt⁷+72s⁵t²) - (24rt⁷ - 18s⁵t² – 47r³s³). The difference will be calculated as follows:-

Difference =  (33r³s³-16rt⁷+72s⁵t²) - (24rt⁷ - 18s⁵t² – 47r³s³).

Separate the like terms in the polynomial and solve accordingly.

Difference = (33r³s³+ 47r³s³-16rt⁷- 24rt⁷+72s⁵t²+ 18s⁵t² ).

Difference = 80r³s³- 40rt⁷+ 90s⁵t²  

Therefore, the difference of the polynomial is -40rt⁷+90s⁵t² +80r³s³. the correct option is D.

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Related Questions

please help 8th grade math!

Answers

9 because RQ = 8 and MN=24 are congruent, so divide them (24 divided by 8).
Now that you have three divide again (27 divided by 3) equals 9 which is the missing side.

two times a number increased by three is equal to four times the same number increased by eleven in standard form

Answers

Answer:

n x 2 + 3 = n x 4 + 11

Step-by-step explanation:

n x 2 ("two times a number) + 3 ("increased by three") = ("is equal to") n x 4 ("four times the same number") + 11 ("increased by eleven")

create a linear equation that has infinitely many solutions. Must start with 18=

Answers

Answer:

Step-by-step explanation:

18=18+x-x*x/x

how many nonzero complex numbers zz have the property that 0, z,0,z, and z^3,z 3 , when represented by points in the complex plane, are the three distinct vertices of an equilateral triangle?

Answers

Consequently, there exist four numbers z:

√3/2 ± I 1/2

-√3/2 ± I 1/2

The three unique vertices of an equilateral triangle are 0, z, and z3: (z^3=0)= e ^iπ/3(z -0 ) ⇔ z^3=e^(±iπ/3)z

=(z^2-e^±iπ/3)z=0⟺z=0

or z^2=e^±iπ/3

Since we have z[tex]\neq[/tex]0, z=e^±iπ/6= ±(√3/2 ± I 1/2  )

There are thus four numbers in z:

√3/2 ± I 1/2

-√3/2 ± I 1/2

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The Distributive Property- 6( x + 3)

Answers

Answer:

-6x-18

Step-by-step explanation:

in class

Answer:-24

Step-by-step explanation: you do -6(x)+(-6)(3) and u get -6+-18 and get -24 hope it helps .

what is the answer to 6x+4

Answers

Answer:

2(3x+2)

Step-by-step explanation:

i think that's what it is

Answer:

What do you need done here?

Step-by-step explanation:

6x + 4 means nothing unless you want to factor the binomial.

I assume you want to factor.

Factor out 2.

2(3x + 2)

Is this what you are looking for?

The answer is????????

Answers

Answer:

-7

Step-by-step explanation:

2(-9)+5=-7

[tex]\huge\text{Hey there!}[/tex]


[tex]\mathsf{xy + 5}\\\mathsf{= 2(-6) + 5}\\\mathsf{= -12 + 5}\\\mathsf{= -7}\\\\\\\huge\text{Therefore, your answer should be: \boxed{\mathsf{-7}}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

What is the distance between (-6, 4) and (-8, 6)?

Choose 1 answer:
2
3
√4
√8

Answers

Answer:

The distance between (-6, 4) and (-8, 6) is 4 units.

Step-by-step explanation:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\AB = \sqrt{(-8+6)^2+(6-4)^2}\\AB = \sqrt{(-2)^2+(2)^2}\\AB = \sqrt{16}\\AB = 4[/tex]

Just apply the distance formula, quite simple.

The return train fare from Nottingham to Harwich is £158.80 Asha has a student railcard which gives her 30% off. How much will Asna pay for her return ticket?​

Answers

well, let's check how much is 30% of £158.80

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{30\% of 158.80}}{\left( \cfrac{30}{100} \right)158.80}\implies 47.64~\hfill \underset{ticket~price}{\stackrel{158.8~~ - ~~47.64}{\text{\LARGE \pounds 111.16}}}[/tex]

NEED ASAP PLEASEEEEEE

How many smaller squares can you fit inside a larger square with side length of 31 units?
961 smaller squares
62 smaller squares
31 smaller squares
29,791 smaller squares

Answers

The number of smaller squares that can fit inside a larger square with a side length of 31 units is A. 961 smaller squares if the larger square is a plane.

What is a side length?

A side length is one part of the length of an object.

Determining the number of smaller squares in a larger square depends on if the square is an enclosure or a plane.

If the square object is an enclosure, then it has three dimensions, length, width, and height, which are squared.  In that case, the number of smaller squares will be 29,791.

But if the square object is a plane with two dimensions, the number of smaller squares is 961.

Side length = 31 units

Area of a square plane = 961 unit² (31 x 31)

Volume of a square enclosure = 29,791 unit³ (31 x 31 x 31)

Thus, the number of smaller squares depends on the dimensions of the larger square.

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a certain town is served by two hospitals. in the larger hospital about 45 babies are born each day, and in the smaller hospital about 15 babies are born each day. as you know, about 50% of all babies are boys. however, the exact percentage varies from day to day. sometimes it may be higher than 50%, sometimes lower.

Answers

the more compact hospital. The Law of Large Numbers, which makes intuitive sense, states that when there are more observations, the experimental average tends to approach the true proportion. Large hospitals have more observations, therefore their results are less likely to deviate from 50% or have a wide range of results.

What is the True proportion?

An equation that states that two ratios are equal is a genuine proportion. You can utilise information about one ratio in a proportion to determine values in the other equal ratio.

The sample proportion, p′ = 0.842, which is the point estimate of the population proportion, must be determined in order to calculate the confidence interval. Given that CL = 0.95 is the requested confidence level, = 1 - CL = 1 - 0.95 = 0.05 ( 2) ( 2) follows..

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Please answer this question to 1 decimal place

Answers

The side x of the rectangle is 36.0 cm

How to find side of a rectangle?

A rectangle is a quadrilateral with opposite sides equal to each other and opposite sides parallel to each other.

All four angles of a rectangle are right angles.

The diagonal of a rectangle are equal in length to each other and they bisect each other at there point of intersection.

Therefore,

∠ COD = 48°

∠OCD = ∠ODC = 132 / 2 = 66°

Using sin law

OD / sin 66  = 16 / sin 48

OD sin 48 = 16 sin 66

OD =  16 sin 66 / sin 48

OD = 14.6167273223 / 0.74314482547

OD = 19.6687105931

OD = 19.7 cm

∠AOD = 180 - 48

∠AOD = 132°

∠OAD = ∠ODA = 48 / 2 = 24°

Hence, using sine law let's find x

19.7 / sin 24 = x / sin 132

x sin 24 = 19.7 sin 132

x = 19.7 sin 132 / sin 24

x = 14.6399530619 / 0.40673664307

x = 35.9935605802

Therefore,

x = 36.0 cm

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An arts academy requires there to be 4 teachers for every 68 students and for every 3 tutors for every 36 minutes. How many students does the academy have per​ teacher? Per​ tutor? How many tutors does the academy need if it has ​72 students?

Answers

The number of students per teacher is 17 and per tutor is 12. For 72 students the academy needs 6 tutors.

The given question is solved using the unitary method.

The arts academy requires 4 teacher for every 68 students

The arts academy requires 1 teacher for every 68/4 students

The arts academy requires 1 teacher for every 17 students

The academy has 17 students per teacher

It requires 3 tutors for every 36 students

3 tutor = 36 student

1 tutor = 36 /3 = 12 students

The academy has 12 students per tutor

For 72 students the total number of tutor required are 72/12 = 6

The number of students per teacher is 17 and per tutor is 12. For 72 students the academy needs 6 tutors.

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IMPORTANT PLEASE HELP QUICK!!!

How would you graph the result of -3 + 5 as a point on the number line? 1.eight places to the right of zero 2.eight places to the left of zero 3.two places to the right of zero 4.two places to the left of zero day​

Answers

Answer:

3. two places to the right of zero

Step-by-step explanation:

-3 + 5 = 2. On a graph, you always move right along the x axis for positive numbers, and left for negative numbers.

The line parallel to y=-2/5x+7 that passes through the point (-1,3)

Answers

Answer:

y=-2/5x +13/5

Step-by-step explanation:

y= -0.4x+b

3=0.4+b

b=2.6

y=-2/5x +13/5

Answer:  [tex]\text{y} = -\frac{2}{5}\text{x}+\frac{13}{5}[/tex]

===============================================

Work Shown:

I'll be using point slope form to get these steps

[tex]\text{y}-\text{y}_1 = \text{m}(\text{x}-\text{x}_1)\\\\\text{y}-3 = -\frac{2}{5}(\text{x}-(-1))\\\\\text{y}-3 = -\frac{2}{5}(\text{x}+1)\\\\\text{y}-3 = -\frac{2}{5}\text{x}-\frac{2}{5}*1\\\\\text{y}-3 = -\frac{2}{5}\text{x}-\frac{2}{5}\\\\[/tex]

[tex]\text{y} = -\frac{2}{5}\text{x}-\frac{2}{5}+3\\\\\text{y} = -\frac{2}{5}\text{x}-\frac{2}{5}+\frac{15}{5}\\\\\text{y} = -\frac{2}{5}\text{x}+\frac{-2+15}{5}\\\\\text{y} = -\frac{2}{5}\text{x}+\frac{13}{5}\\\\[/tex]

This answer has a slope of -2/5 and y intercept of 13/5.

Parallel lines have equal slopes but different y intercepts.

To verify this equation, plugging in x = -1 leads to y = 3.

Help with this asap
Please and thank you

Answers

a) 7 video games;

26 - x = 40 - 3x

x = 7

the population of a community is known to increase at a rate proportional to the number of people present at time t. if an initial population p0 has doubled in 9 years, how long will it take to triple?

Answers

Since the population increases at a rate proportional to the current number of people, the population will be three times of its initial population after 14.27 years.

The population of a community increases at a rate proportional to the number of people present at time t, means:

dP/dt = kP

where k is a constant.

Rearrange it:

(1/P) dP = k dt

Take the integral:

∫ (1/P) dP = ∫ k dt

ln P = kt + C, where C is a constant

Substitute t = 0, from the problem, it is known that P(t = 0) = P₀

Hence,

P(t) = P₀. e^(kt)

The population doubles after 9 years, means if we substitute t = 9

P(9) = P₀. e^(9k)

2P₀ = P₀. e^(9k)

2 = e^(9k)

Take the natural logarithmic:

ln 2 = 9k

k = (ln 2)/9 = 0.077

When the population grows to triple, it means P(t) = 3P₀

3P₀ = P₀. e^(kt)

ln 3 = kt

ln 3 = 0.077 t

t = (ln 3)/0.077 = 14.27 years.

Hence, the population will be three times of its initial population after 14.27 years.

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The graph of line p passes through the point (-3,-4) and has a slope of 2. What is the y-coordinate of the y-intercept of line p?

Answers

Answer: m= -1/2

Step-by-step explanation: Equation of line in slope intercept form is represented by,. y= mx+c —-(1). Given that the line p passes through A (- 2, 4) and has a slope m= -1/2.

Hank made a phone call from his home in Hong Kong
(time zone +8) to New York City (time zone -5). What
is the time difference between Hong Kong and
New York City?

Answers

Answer:

12 hours

Step-by-step explanation:

look it up

solve the following expression

Answers

Answer:

2

Step-by-step explanation:

substitute s for 8

then substitute f for 2

that means 2*2 or 4

8/4 is 2

Answer: the answer would be 2

Step-by-step explanation: since f =  2 you would multiple 2 x2 then you would get 4 then you divid 8 and 4 and you get 2

Help due Tuesday asap

Answers

The stem-and-leaf diagram is:

Stem   Leaf

0          9

1           0,  5, 5, 8      

2          1, 4, 8      

3             0, 3, 5, 6, 6      

4             2, 3, 4, 5, 5, 6, 7, 7, 8    

5               1, 4, 5, 6, 8, 8, 8, 8, 9, 9, 9, 9,9,9      

The mode is 59

The range is 50

The median is 45.50

The interquartile range is 6.5.

What is a stem-and-leaf plot?

A stem-and-leaf plot is a table that is used to display numerical data.  A  stem-and-leaf plot has two column, one for the stem and the other for the leaf. The stem is the first number in the digit while the leaf is the last number. For example in the number 59, 5 would be the stem and 9 would be the leaf.

Mode is the number that occurs most frequently in a dataset. The mode is 59 because it appears 6 times in the dataset.

Range is the difference between the highest number and the lowest number

Range = 59 - 9 = 50

Median is the number at the center of the dataset.

Median = (n + 1) / 2

37 / 2 = 18.5th term = (45 + 46) / 2 = 45.5

The interquartile range is the difference between the third quartile and the first quartile.

Third quartile = 3/4(n + 1)

3 / 4 x 37 = 27.75 term = 58

First quartile = 1/4 x (n + 1)

1/4 x 37 = 9.25term = (50 + 53) / 2 = 51.5

Interquartile range = 58 - 51.5 = 6.5

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20.8cm divided by 2.3g

Answers

Answer:

9.043

Step-by-step explanation:

i just divide

Answer: 9.043 centimeters/grams

Step-by-step explanation:

All you have to do it divide!

Answer quick please. I need to finish this in 5 min

Answers

Answer: I got 18

Step-by-step explanation:

Substitute all the variables

18 = 2*3^2

X = 4 * 9^2

X = 4 * 81

X = 324


324/18 = 18


so the is answer is 18.

Also are you going to A+ by any chance?

the answer is 18!!!!

Huyen has round tiles. She must combine the positive and negative signs on the tiles to obtain a result equivalent to -1 Which diagram shows a combination of positive and negative tiles resulting in -1

Answers

The combination of number tiles resulting in -1 will be -4 + 3 and 2 - 3.

How to express the value?

From the information, Huyen has round tiles and she must combine the positive and negative signs on the tiles to obtain a result equivalent to -1.

It should be noted that sone of the examples of the numbers that will give a value of -1 include:

= -4 + 3

= -1

= 2 - 3.

= -1

Note that an overview was given since you don't given enough information as options.

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A bottle of maple syrup in Wayne’s freezer needs to be warmed for breakfast. Sitting on the kitchen counter, the bottle temperature will go up a steady 9.6° C every hour. If the bottle temperature begins at the freezer temperature of –16° C, how many hours will it take to reach 20° C?

Change in temperature: (20 – (–16)) = 20 + 16 = 36

Answers

It will take the bottle of maple syrup 3 hours 45 minutes to reach  20° C from  –16° C.

How to get the temperature change

given data

the bottle temperature will go up a steady 9.6° C every hour

freezer temperature  = –16° C

final temperature = 20° C

The temperature rise from –16° C to 20° C

from –16° C to 0° C = 16° C

from 0° C to 20° C = 20° C

adding both increments gives = 20 + 16 = 36° C

if every hour we have 9.6° C then how many hours will give 36° C

1 hour = 9.6° C

? hour = 36° C

we cross multiply to have

= 36 * 1 / 9.6

= 3.75

This is 3 hours then a fraction of some minutes, the fraction is gotten by

0.75 * 60 = 45

Therefore the time to reach 20° C is 3 hours 45 minutes

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Write an equation of a line that is parallel to the line 3x + 4y = 32 and contains
the point (7,1).

Answers

3x + 4y = 25 is an example of a line that is parallel to the supplied line.

What is equation ?

Equations are mathematical expressions that have two algebraic expression on either side of an equals (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left hand side = right hand side) is a fundamental mathematical formula. For an unknown quantity represented by an unknown variable, equations can be solved to determine its value. It is clear that a statement is not an equation if there is no "equal to" sign in it. The phrase will be regarded as an expression.

Given that : line that is parallel to the line 3x + 4y = 32 and contains

the point (7,1).

3x + 4y = 32 is the equation for given line

This type of line is called a slope intercept. The line has a slope of m=[tex]\frac{-3}{4}[/tex].

The slope of parallel lines is equal. As a result, all lines with slope m=[tex]\frac{-3}{4}[/tex].will be perpendicular to one another.

3x + 4y = 25 is an example of a line that is parallel to the supplied line.

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what is a fast way to do multiplication and division by tens

Answers

Answer:

When multiplying whole numbers by 10, simply add a 0 to the end of the number

When dividing by 10 remove a 0 from the end of the number.

Step-by-step explanation:

Multiplication:

10 x 2 = 20

10 x 6970 = 69750

Division

20 / 10 = 2

6970 / 10 = 697

Hope this helps! :)

HELP ASAP NEEDS TO BE DONE BEFORE TONIGHT

Answers

Based on the equation of the line that is parallel to the first line, the equation of the line in slope-intercept form is y = 3/4x - 6³/₄

How to write the equation?

First, find the slope of 3x + 4y = 7:
( 3x + 4y = 7) x 1/4

3/4x + y = 7/4

The slope is therefore 3/4x.

Lines that are parallel to each other have the same slope. You can therefore use this slope to find the formula of the other line by first solving for the y-intercept:
y = Slope(x) + y-intercept

-9 = 3/4(-3) + y-intercept

y-intercept = -6³/₄

The equation of the line is:

y = 3/4x - 6³/₄

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Ben's rent a car has a security deposit of $200.00 and it cost $180.00 per day to rent a car. dave's car rental services has a security deposit of $380.00, and it cost $120.00 per day to rent the same car. how many days, d, will it take for the costs to be the same on both car rentals?

Answers

It will take 3 days for the cost of the car to be the same which is $740.

What are mathematical operations?An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value. The operation's arity is determined by the number of operands. The addition, subtraction, multiplication, division, exponentiation, and modulus operations are carried out by the arithmetic operators.

So,

Ben's car rental:

Security Deposit - $200; rental each day - $180

Dave's car rental:

Security Deposit - $380; rental each day - $120

Now,

Days after which the cost will be the same:

Day 1:

Ben's car rental: $380Daves car rental: $500

Day 2:

Ben's car rental: $560 (+180)Daves car rental: $620 (+120)

Day 3:

Ben's car rental: $740 (+180)Daves car rental: $740 (+120)

Therefore, it will take 3 days for the cost of the car to be the same.

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someone give me the answer pls

Answers

Answer: 11

Step-by-step explanation:

The sum of the angles of a triangle is 180. So, 3x + 8 + 4x + 11 + 84 = 180

7x = 180 - 8 - 11 - 84

7x = 77

x = 11

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