The product of 3x²–5x² + 3 and 2x² + 5x – 4 in 27[x]/<x² + 1> is 2x + 3 2x+2.
Multiplying polynomials in a quotient ring involves applying the multiplication rules while considering the specific ring properties. In this case, working within 27[x]/<x² + 1> means that any multiple of x² + 1 is considered zero in our computations. This concept is similar to working with remainders in modular arithmetic.
To find the product, we multiply the terms 3x², -5x², and 3 from the first polynomial with the terms 2x², 5x, and -4 from the second polynomial. Then, we simplify the resulting expression by combining like terms and reducing any terms that are multiples of x² + 1 to zero.
In the end, the product simplifies to 2x + 3 2x+2. This represents the final result of multiplying the given polynomials in 27[x]/<x² + 1>.
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que son decimales y milecimas?
Answer:
las milésimas son el número 3 puntos decimales a la derecha
Step-by-step explanation:
i dont speak spanish so i used a translator hope this helps
if Ex = 40 and n = 5 then find the the mean (x)
Answer:
mean = 8
Step-by-step explanation:
assuming you mean ∑ x = 40
then
mean = ∑ x ÷ n = 40 ÷ 5 = 8
Can someone please help me?
Answer:
Step-by-step explanation:
\(Sin \ 39 = \dfrac{opposite \ side}{hypotenuse}\\\\0.63 = \dfrac{1.7}{x}\\\\0.63*x=1.7\\\\x= \dfrac{1.7}{0.63}\\\\\\x = 2.7\)
Three students calculated the volume of a cylinder. Each used a different strategy.
Jada said, "I used the formula V = Bh."
• Andre said, "I found the area of a circular cross section and multiplied it by the
cylinder's height."
Han said, "1 used the formula V = xrh.
For each student, decide if you agree with their strategy. Explain your reasoning.
I only agree with the first student strategy of multiplying the area of the base with the height.
Volume of a cylinderA cylinder is made up of two circles at the top and the base.
The volume of the cylinder can be expressed as:
V = Bh
where
B is the base area
h is the height of the cylinder
V = πr²h
HEnce I only agree with the first student strategy of multiplying the area of the base with the height.
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WILL MARK BRAINLIEST!
Find the height of the square prism if the volume is 1344 cubic meters and the base edge is 12 meters
Answer: 9.33 meters (9 1/3 meters)
Step-by-step explanation:
If the base edge is 12 m and the base is a square, square the edge length. (12*12=144). The volume of a prism is the area of the base times the height, so the height is the volume divided by the area of the base. Divide 1344 by the area of 144 (1344/144=9.33 or 9 1/3)
Answer:
9.33 meters
Step-by-step explanation:
The formula to find the volume of a square prism is \(V=a^2h\). To solve for \(h\), the formula becomes \(h=\frac{V}{a^2}\).
Plug in the base edge and the volume.
\(h=\frac{1344}{12^2}\)
\(\frac{1344}{12^2}\) \(=\) 9.33.
The height of the prism, then, is 9.33 meters.
I hope this helps ^^ Good luck :]
fran the fearless has a well-known act at a local zoo. as part of the act, fran handles a scary animal that she picks at random out of the box of terror. the following animals are in the box: poisonous snakes, nonpoisonous snakes, poisonous spiders, and nonpoisonous spiders. what is the probability that the animal fran picks is poisonous or is a snake?
The probability that the animal Fran picks is poisonous or is a snake is 1/2 or 0.5.
To calculate the probability that the animal Fran picks is poisonous or is a snake, we need to determine the number of favorable outcomes and the total number of possible outcomes.
Given the animals in the box: poisonous snakes, nonpoisonous snakes, poisonous spiders, and nonpoisonous spiders, there are two favorable outcomes: poisonous snakes and poisonous spiders.
To find the total number of possible outcomes, we consider all the animals in the box: poisonous snakes, nonpoisonous snakes, poisonous spiders, and nonpoisonous spiders.
Therefore, the probability that the animal Fran picks is poisonous or is a snake is the ratio of the favorable outcomes to the total number of outcomes, which is 2 out of 4. Thus, the probability is 2/4, which simplifies to 1/2 or 0.5.
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find the slope of the line and the y intercept described by x-2y=-6
Answer:
The slope is -6 and the y intercept is 0
Find the number of zeroes at the end of 26!−25!
Answer:
26
Step-by-step explanation:
searched on google.
On two investments totaling $9,500, Peter lost 3% on one and earned 7% on the other. If his net annual receipts were $169, how much was each investment?
Answer:
23$ was each investment
Step-by-step explanation:
\(\sqrt{x} x^{2}\) +3
3. Mrs. Bond wants to put 40 cups of cider into one-quart containers. How many one-quart containers does she need?
Answer:
10
Step-by-step explanation:
Answer:10
Step-by-step explanation:
10 because there are 4 cups in each quart.
Write 110 as a product of primes
Answer:
The prime factorization of 110 is: 2 x 5 x 11.
PLS HELP WILL MARK BRAINLIEST
Spencer is draining his swimming pool. The expression - 720x + 4,000 represents the amount of water, in gallons, remaining in the pool
after x hours. What does 4,000 represent?
A the time left until the pool is empty
B the gallons of water initially in the pool
Cthe total hours required to drain the pool
D the amount of water being drained per hour
Using linear function concepts, it is found that the representation of the value of 4,000 is given by:
B the gallons of water initially in the pool.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, the amount of water in the pool after x hours is modeled by:
y = -720 x + 4000.
4000 is the y-intercept, which is the initial amount of water in the pool, hence option B is correct.
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(-12, 16) and (-4,-2)
what’s the slope between these 2 given points
Answer: m = -9/4 (If they want you to write it in the slope-intercept form the answer is y = -9/4x - 11)
Step-by-step explanation: Use the slope formula to find the slope m.
(Step-by-step explanation for slope-intercept form: Write in slope-intercept form, y = mx +b
help i dont get it pelase
Step-by-step explanation:
(-1,3)
just move the point over 5 lines and then up 4 lines. or
4-5 = -1
-1 +4=3
9. What is one-half added to three- quarters?
Step-by-step explanation:
hope it's helpful for you
pls mark me as brainliest
Find the mean of the data set:
2.5,9,13,6,4 5, 8, 12, 12,6
Denzel wants to work out the density, in g/cm", of a block of wood.
The block of wood is in the shape of a cuboid.
His measurements are length of 17.7 cm (correct to the nearest mm)
width of 8.3 cm (correct to the nearest mm) height of 13.0 cm (correct to the nearest mm)
He also measures the mass as 2090 g (correct to the nearest 5g).
By considering bounds, work out the density of the wood.
Using the principle of Mass, we can find that the Density of wood
= 1.09 g/cm³.
What do you mean by mass?The amount of matter that is contained in a body is known as its mass. The mass equation can be written as:
Mass = Density × Volume
The mass of a body is constant and does not change over time. The mass may be impacted only in extremely rare circumstances when a significant amount of energy is supplied to or depleted from a body.
Given, Length of cuboid box, l = 17.7 cm
Width of box, w = 8.3 cm
Height of box, h = 13.0 cm
Mass of box, M = 2090 grams
Now we know, Mass = Density × Volume
⇒Density = Mass/Volume
We need to find the volume first.
Volume of box, V = Length × Width × Height
Volume of box = 17.7 × 8.3 × 13.0
= 1909.8 cm³
Now, Density = Mass/Volume
⇒Density = 2090/1909.8
= 1.09
Therefore, Density of the wood = 1.09 g/cm³.
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A roller-coaster is at the top of a 62-meter hill. the car and its passengers have a total mass of 1,088 kilograms. by the time the car reaches the bottom of the hill, its speed is 74 miles per hour (33 meters per second). how much kinetic energy does the car have at the bottom of the hill?
The kinetic energy of the roller coaster at the bottom of the hill is approximately 594,576 J.
The potential energy of the roller coaster at the top of the hill can be calculated as:
PE = mgh
where m is the mass of the car and its passengers, g is the acceleration due to gravity \((9.8 m/s^2\)), and h is the height of the hill (62 m). Thus, we have:
PE =\((1088 kg)(9.8 m/s^2)(62 m) = 670,720 J\)
At the bottom of the hill, all of the potential energy has been converted to kinetic energy. The kinetic energy of the roller coaster can be calculated as:
\(KE = (1/2)mv^2\)
where v is the speed of the roller coaster at the bottom of the hill. Thus, we have:
\(KE = (1/2)(1088 kg)(33 m/s)^2 = 594,576 J\)
Therefore, the kinetic energy of the roller coaster at the bottom of the hill is approximately 594,576 J.
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3.) What must be the value of b to make the statement true?
5-b+4-2=0
Pls answer asap
Answer:
b = 7
Step-by-step explanation:
Help please question 3) and 5), Theorem 10 Quadrilateral inscribed in a circle. Find the value of the variables AND the angle’s indicated? show a few steps.
Check the picture below.
each of the faces of a fair six-sided die is numbered 1 through 6. two dice will be tossed, and the sum of the numbers appearing on the faces that land up will be recorded. what is the probability that the sum will be 4, given that the sum is less than or equal to 6? write your answer as a decimal.
The probability of getting a sum of 4 given that the sum is less than or equal to 6 is 2/5.
To find the outcomes where the sum is less than or equal to 6. From the table, we can see that there are five such outcomes: (1,1), (1,2), (2,1), (1,3), and (2,2). Therefore, the probability of getting a sum less than or equal to 6 is:
P(sum ≤ 6) = 5/36
To find the outcomes where the sum is 4 given that the sum is less than or equal to 6, we can look at the table again and identify the outcomes where the sum is 4. We can see that there are only two such outcomes: (1,3) and (2,2). Therefore, the probability of getting a sum of 4 given that the sum is less than or equal to 6 is:
P(sum = 4 | sum ≤ 6) = 2/5
The notation "P(A | B)" denotes the probability of event A given that event B has occurred. In this case, event B is "the sum is less than or equal to 6", and event A is "the sum is 4".
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The area of a rectangular field is 1/3 sq.m. Also, the breadth of the field is 3/4m. Find the length of the field. (with steps)
The length of the field is 4/9 meters.
To find the length of the rectangular field, we'll use the formula for the area of a rectangle: length multiplied by breadth.
Area = 1/3 sq.m
Breadth = 3/4 m
Let's assume the length of the field is L meters.
The formula for the area of a rectangle is:
Area = Length × Breadth.
Substituting the given values into the formula, we get:
1/3 = L × (3/4).
To solve for L, we need to isolate it on one side of the equation.
We can do this by dividing both sides of the equation by (3/4):
(1/3) ÷ (3/4) = L.
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(1/3) × (4/3) = L.
Simplifying the multiplication, we get:
4/9 = L.
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A triangle has the angle measurements of 62 degrees and 91 degrees. What is the measurement of the third angle?
a
b
29 degrees
153 degrees
27 degrees
180 degrees
С
d
Answer:
27
Step-by-step explanation:
180 is always the total of the triangle measurements. Therefore,
180-(91+62)=27
Answer:
27°
Step-by-step explanation:
A triangle is 180 degrees
So you begin with what you know 91 degrees and 62degrees
So 180-91-62=27degrees
So your answer is 27degrees
El volumen de un prisma de base rectangular es 24 m3. Si el largo de la base es 2,5 m y su ancho es 4 m, ¿cuál es la altura del prisma?
Answer:
La altura del prisma es 2,4 m.
Step-by-step explanation:
Para calcular el volumen de un prisma rectangular, es necesario multiplicar sus tres dimensiones, esto es, longitud*ancho*altura. El volumen se expresa en unidades cúbicas.
Entonces:
volumen= longitud*ancho*altura
En este caso, los datos conocidos son:
volumen= 24 m³longitud= largo de la base= 2,5 mancho= 4 maltura= ?Reemplazando:
24 m³= 2,5 m* 4 m* altura
Resolviendo:
\(altura=\frac{24 m^{3} }{2,5 m*4m}\)
\(altura=\frac{24 m^{3} }{10 m^{2} }\)
altura= 2,4 m
La altura del prisma es 2,4 m.
someone help me please
Answer:
multiply vertically
Step-by-step explanation:
how does the fuel consumption of a car change as its speed increases? here are data for a british ford escort. speed is measured in kilometers per hour, and fuel consumption is measured in liters of gasoline used per 100 kilometers traveled. speed fuel 40 10 20 30 50 60 70 80 21.00 13.00 10.00 8.00 7.00 5.90 6.30 6.95 speed fuel 90 100 110 120 130 140 150 8.27 9.03
Based on the data for a British Ford escort, the way fuel consumption of a car change as its speed increases represents a relationship that is curved with higher at extremes when scatter plot is constructed. It shows fuel efficiency is high at moderate speeds.
A scatter plot is a type of mathematical diagram using Cartesian coordinates to demonstrate values for typically two variables for a set of data. In the given case, the scatter plot shows a relationship between the speeds of a car and fuel consumption. The curved relationship which is high on extreme and low in the middle. As the car speed increases from 10km/h to 60 km/h, the fuel consumption decreases. As the car speed increases from 60km/h to 150khm/h, the fuel consumption increases. Hence, the fuel consumption is lowest at 60km/h and its generally low for moderate speeds – 40 km/hr to 100 km/h. It can be deduced that fuel efficiency (which pertains to how well a vehicle uses fuel) is high for moderate speeds. Hence, at moderate speeds best performance is achieved.
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PQ=RQ
470
R
17
b = [?]
Answer:
17
Step-by-step explanation:
you can use SAS to prove two triangles are congruent
Then by CPCTC PS = RS so b is also 17
What’s a denominator of 4 to represent a distance than is less than 7/12 mile
Denominator 4 can be used to represent a distance less than 7/12 mile.
When working with fractions, the denominator represents the number of equal parts that make up a whole unit. In this case, the denominator of 4 means that the whole unit is divided into 4 equal parts. To represent a distance that is less than 7/12 mile, we need to find a fraction that has a smaller value. One way to do this is to simplify 7/12 by dividing both the numerator and denominator by their greatest common factor, which is 1. This gives us 7/12 = 21/36. To find a denominator of 4, we need to divide both the numerator and denominator of 21/36 by 9, which gives us 7/12 = 7/12 x 3/3 = 21/36 = 21/36 x 1/1 = 7/12 x 3/3 x 1/1 = 21/108. Now, we can see that 21/108 has a denominator of 4 (since 108 is divisible by 4), and its value is less than 7/12. Therefore, we can use denominator 4 to represent a distance less than 7/12 mile.
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How can I simplifiy an expression for the perimeter of a parallelogram sides of 2x-5 and 5x+7
A parallelogram is a type of quadrilateral with opposite sides that are equal in length and parallel to each other. The perimeter of a parallelogram is the sum of the lengths of all its sides.
To simplify an expression for the perimeter of a parallelogram with sides of 2x - 5 and 5x + 7, we can use the formula: Perimeter = 2a + 2bWhere a and b represent the lengths of the adjacent sides of the parallelogram .So for our parallelogram with sides of 2x - 5 and 5x + 7, we have: a = 2x - 5b = 5x + 7Substituting these values into the formula for perimeter, we get :Perimeter = 2(2x - 5) + 2(5x + 7)Simplifying this expression, we get: Perimeter = 4x - 10 + 10x + 14Combine like terms: Perimeter = 14x + 4Finally, we can rewrite this expression in its simplest form by factoring out 2:Perimeter = 2(7x + 2)Therefore, the simplified expression for the perimeter of a parallelogram with sides of 2x - 5 and 5x + 7 is 2(7x + 2).
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please help!!! thank you
Answer:
WX = 18
Step-by-step explanation:
This is just a simple 1:2 congruency.
We know that because side FD is equal to 7 and side XY is equal to 14.
7:14 is the same as 1:2.
Using that logic we can then apply it to side FE.
Multiply 9 by 2 and you'll get your answer of WX = 18.