Answer:
El polinomio final es:
[tex]=x(\frac{1}{3}y^{2}-3+\frac{2}{3}xy)[/tex]
Step-by-step explanation:
Agrupemos los términos con las mismas variables:
[tex](\frac{2}{3}xy^{2}-\frac{1}{3}xy^{2})+(2x-5x)+\frac{2}{3}x^{2}y=[/tex]
Sumemos estos terminos:
[tex]=\frac{1}{3}xy^{2}-3x+\frac{2}{3}x^{2}y=[/tex]
Podemos ver que los tres terminos tienen x, asi que podemos factorizar x.
Por lo tanto el polinomio final es:
[tex]=x(\frac{1}{3}y^{2}-3+\frac{2}{3}xy)[/tex]
Espero te haya servido.
El resultado de simplificar [tex]\frac{2}{3}xy^2+2x-\frac{1}{3}xy^2+\frac{2}{3}x^2y-5x[/tex] es
[tex](\frac{1}{3}y^2+\frac{2}{3}xy-3)x[/tex]
El polinomio que queremos simplificar es
[tex]\frac{2}{3}xy^2+2x-\frac{1}{3}xy^2+\frac{2}{3}x^2y-5x[/tex]
primero, recopilamos términos similares
[tex]\frac{2}{3}xy^2-\frac{1}{3}xy^2+\frac{2}{3}x^2y+2x-5x[/tex]
luego simplificamos los términos similares. Es decir
Para el [tex]xy^2[/tex] términos:
[tex]\frac{2}{3}xy^2-\frac{1}{3}xy^2=(\frac{2}{3}-\frac{1}{3})xy^2\\\\=(\frac{1}{3})xy^2=\frac{1}{3}xy^2[/tex]
y para el [tex]x[/tex] términos:
[tex]2x-5x=(2-5)x\\=(-3)x=-3x[/tex]
la [tex]x^2y[/tex] términos ya está simplificado. Así que déjalo así.
Este es el trabajo total:
[tex]\frac{2}{3}xy^2-\frac{1}{3}xy^2+\frac{2}{3}x^2y+2x-5x\\\\=(\frac{2}{3}-\frac{1}{3})xy^2+\frac{2}{3}x^2y+(2-5)x\\\\=(\frac{1}{3})xy^2+\frac{2}{3}x^2y+(-3)x\\\\=\frac{1}{3}xy^2+\frac{2}{3}x^2y-3x[/tex]
Incluso podemos factorizar la respuesta final para obtener
[tex](\frac{1}{3}y^2+\frac{2}{3}xy-3)x[/tex]
Obtenga más información sobre la simplificación aquí: https://brainly.com/question/25014973
What is the expanded form of 8,609?
A 8,000+600+ 90
8,000+60+9
8,000 +900+ 6
8,000+600 +9
The last one 8,000 + 600 + 9
What is the distance between (2, 5) and (2, -7)?
Question 1 options:
2
5
12
14
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
What is 8% of 200?
4
16
25
Done
Answer:
16
Step-by-step explanation:
8% of 200 is 16
Answer: 16
Explanation: That's an i-Ready Diagnostic!! Heh...
A. 35
B. 96
C. 51
D. 80
Answer:
Its D
Step-by-step explanation:
I need this please help me
Answer:
A. Right 6, Down 5
Step-by-step explanation:
I don't know how to explain this
Which statement describes whether the function is continuous at x = 2?
O The function is continuous at x = 2 because f(2) exists.
O The function is continuous at x = 2 because lim f(x) exists.
X-2
The function is not continuous at x = 2 because f(2) does not exist.
The function is not continuous at x = 2 because lim f(x) does not equal f(2).
X-2
Answer: (b)
Step-by-step explanation:
Given
The function is given as
[tex]f(x)=\dfrac{x^2-12x+20}{x-2}[/tex]
Solving the function
[tex]f(x)=\dfrac{x^2-2x-10x+20}{x-2}\\\\f(x)=\dfrac{(x-2)(x-10)}{(x-2)}\\\\f(x)=x-10[/tex]
for [tex]x=2[/tex]
[tex]f(2)=2-10\\f(2)=-8[/tex]
The function is continuous at [tex]x=2[/tex] because [tex]\lim_{x \to 2} f(x)[/tex] exists.
If the limit exists at a point, then the function is continuous.
Answer:
on edge its fs not b or c
Step-by-step explanation:
The times that a cashier spends processing individual customers' orders are independent random variables with mean 3.5 minutes and standard deviation 3 minutes. Find the number of customers n such that the probability that the orders of all n customers can be processed in less than 2 hours, is approximately 0.1. (Round your answer to the nearest integer.)
Answer:
26 customers
Step-by-step explanation:
First: determine the z score from standard normal probability table with an indicative area of 0.1
Z-score from probability table = - 1.28
mean = 3.5 minutes
std = 3 minutes
next determine the Z-score based on the information given in the question
Z = ( std - mean ) / processing time
= ( 3 - 3.5 ) / 2 = -0.25
Finally determine the number of customers
N = [tex](\frac{-1.28}{-0.25} )^2[/tex] = 1.6384 / 0.0625 = 26.21 ≈ 26 customers
What is the volume of a sphere with a radius of 3.1 cm, rounded to the nearest tenth
of a cubic centimeter?
1+1 why does my dog not love me?
Answer:
2
Step-by-step explanation:
your dog doesn't love you because it saw what you did. it knows. be cautious around your dog from now on. it knows more than you think and sees all. I'm warning you
Which equation in rectangular form describes the parametric equations x=2-3 cos t and y=1+4 sin t?
Answer:
The parametric equations represents an ellipse by the rectangular equation [tex]\frac{(x-2)^{2}}{9} + \frac{(y-1)^{2}}{16} = 1[/tex].
Step-by-step explanation:
We proceed to use the following trigonometric identity to derive an expression in rectangular form:
[tex]\cos^{2} t + \sin^{2} t = 1[/tex] (1)
Where:
[tex]\cos t = \frac{2-x}{3}[/tex] and [tex]\sin t = \frac{y-1}{4}[/tex]
Then, we expand the expression as follows:
[tex]\frac{(x-2)^{2}}{9} + \frac{(y-1)^{2}}{16} = 1[/tex] (2)
The parametric equations represents an ellipse by the rectangular equation [tex]\frac{(x-2)^{2}}{9} + \frac{(y-1)^{2}}{16} = 1[/tex].
If Bill hiked 6.5 miles at a rate of 10.4 mph, how long did it take him to complete his hike?
Answer:
I think it depends how far bill wants to hike..
Step-by-step explanation:
Mona has a bag containing 4 red marbles, 12 green marbles, and 8 black marbles. Without looking, she pulls out one marble from the bag and places it in an empty jar. She then pulls a second marble from the bag and places it in the jar. WHat is the probability that she will have 2 green marbles in the jar?
A. 12/24 x 11/23
B. 12/24 x 12/24
C. 1/12 x 1/11
D. 12/24 x 12/23
Identify a second of transformations that maps triangle ABC onto triangle A"B"C in the image below.
Answer: The answer is B because the triangle rotated a 90 degrees counterclockwise then got a reduction.
Step-by-step explanation:
Find the exact value of sin A in simplest radical form.
Using the sine rule,
[tex] \frac{a}{sin(a)} = \frac{b}{sin(b)} = \frac{c}{sin(c)} [/tex]
Here we are going to use the values of A and C,
[tex] \frac{12}{sin(a)} = \frac{14}{sin(90)} \\ \frac{12}{sin(a)} = \frac{14}{1} \\ sin(a) = 12 \div 14 \\ sin(a) = 0.8571[/tex]
So sin(A) = 12/14 = 6/7 = 0.8571, but since the question says in its simplest radical form, I think the closest answer to it should be
[tex] \frac{ \sqrt{3} }{2} [/tex]
If the radius of a cylinder is 3 centimeters and the height of the cylinder is 4 centimeters, then the area of the lateral surface is 75.36 square centimeters. True False
Answer:
True
Step-by-step explanation:
The Answer is 75.36 cm
2 x (pi)3.14 = 6.28
6.28 x (r)3 = 18.84
18.84 x (h)4 = 75.36
The statement, "If the radius of a cylinder is 3 centimeters and the height of the cylinder is 4 centimeters, then the area of the lateral surface is 75.36 square centimeters." is true.
What is cylinder?"A cylinder is a three-dimensional geometrical structure which consists of two circular bases connected with a curved surface."
Formula to calculate the area of the lateral surface of a cylinder:For a cylinder with radius r and height h,
the curved / lateral surface area is,
A = 2 × π × r × h
Given: r = 3 cm, h = 4 cm
Using the formula for area of lateral surface of a cylinder:
⇒ A = 2 × π × 3 × 4
⇒ A = 24 × π
⇒ A = 24 × 3.14
⇒ A = 75.36 sq.cm.
Therefore, given statement is true.
Learn more about lateral surface area of cylinder here:
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Find the perimeter of a rectangle with a base of 12 ft and a height of 5 ft.
Answer:
P=34ft
Step-by-step explanation:
Solution
P=2(l+w)=2·(12+5)=34ft
Caroline has a rock stuck in her Jeep’s tire
Answer:
oh no
Step-by-step explanation:
sorry about that I guess
A circle has a diameter of 10 centimeters.
What is the best approximation of its area?
Use 3.14 to approximate for π.
15.7 cm²
31.4 cm²
78.5 cm²
314 cm²
Answer:
78.5 (please put brainliest)
Step-by-step explanation:
r = diameter / 2 = 5
area = π * r^2 = 25 * 3.14 = 78.5
Answer:
78.5 m^2
Step-by-step explanation:
Type the integer in the box.
Solve:: t/2 + 10 =-40
Answer:
t = -100
Step-by-step explanation:
Simplify to isolate t:
[tex]\frac{t}{2}+10-10=-40-10[/tex]
[tex]\frac{t}{2} * \frac{2}{1} = -50 * 2[/tex]
[tex]t = -100[/tex]
Volume answer rn djdjd
Answer:
133.7π cm^3 or approximately 418.77430072 cm^3.
Step-by-step explanation:
For the cylinder half, use the formula: π*r^2*h, or pi times radius squared times height.
Since the diameter is 8, which means the radius is 4, and the height is 6, the volume of the cylinder would be 96π or 301.59289474...
For the cone on top, use the formula 1/3 (π*r^2*h), or one third pi times radius squared times height. Don't forget to calcuate the part in parentheses before dividing it by three.
Because the overall height was 13, you can subtract the 6 from the cylinder to get the cone's height. It has a height of 7 and a radius of 4 just like the cylinder. The volume of the cone is 112π/3 or 37.3π.
Now add both volumes together to get 133.7π cm^3 or approximately 418.77430072 cm^3.
a cylinder has a diameter of 12 and height of 12. the volume of the cylinder is:
A. 1728π cubic units
B. 288π cubic units
C. 144π cubic units
D. 432π cubic units
Planes A and B intersect. Which describes the intersection of plane A and line m? Oline k B m Olinen À point X O point W X 3 k Y Z
The intersection of plane A and line m can be describes as line m .
What is reflectional symmetry?Let's a plane. Consider a design or shape on that plane. Now consider an axis.
If we think of that axis as a mirror, and on the opposite side of that axis create the image of the considered shape, then if the shape's image looks exactly as the shape itself, therrefore that shape is called to have a reflectional symmetry.
Given that Planes A and B intersect.
We can see the two walls as planes in geometry.
A plane can be thought of as a wall or a floor of a room also a flat surface that has no thickness.
When two planes intersect, their intersection is a line.
Learn more about symmetry here:
https://brainly.com/question/7783612
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pls help me loves :((
Answer:
609 m²
Step-by-step explanation:
Area of unshaded:
(6 x 18) + ((13-6) x 7) = 157
Area of overall rectangle:
36 x 28 = 1008
Area of the chunck of rectangle not included:
11 x 22 = 242
Area of shaded:
1008 - 157 - 242 = 609
5th grade math. correct answer will be marked brainliest
Answer:
4ft, 7 inches
Step-by-step explanation:
4 ft (48 inches), 7 inches
What is the absolute value of a number?
Answer:
It is the distance from the zero on a number line. Also, it is never negative.
Step-by-step explanation:
Use systems of linear equations solve x+2y=4
Must include;
Step to solve problem
Answer: y=2-2x
Step-by-step explanation:
Surface area of a solid figure can be found by multiplying the area of the base by the height of the figure.
True
O False
Answer:
Surface area of a solid figure can be found by multiplying the area of the base by the height of the figure.
it's false
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
can someone help me :(
Answer:
A is the correct answer
.......................
Answer:
A. y+116+30=180
Step-by-step explanation:
A straight angle is 180°.
all the given angles make up a straight angle, so they add to 180°.
PLSSSSSSSSSSS ASAP!!!!! Find the area of the figure shown below.
Answer:
54 square ft
Step-by-step explanation:
Find missing sides:
8+6 = 14
9-6 = 3
Find area of full rectangle:
9×8 = 72
Find the area of the missing part of the full rectangle
3×6 = 18
Find the area of the actual shape:
72-18 = 54
Area = 54 square ft
Please help soon- The weight of oranges growing in an orchard is normally distributed with a mean
weight of 6 oz. and a standard deviation of 1 oz. From a batch of 2500 oranges, how
many would be expected to weight less than 4 oz., to the nearest whole number?