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The factors of the given expression are 5x², (x - 2), and (x - 2).

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.

It is given that the polynomial expression 5x⁴ – 20x³ + 20x²

It is required to find its factor.

We have a polynomial expression let's denote it with f(x)

f(x) = 5x⁴ – 20x³ + 20x²

taking 5x² common

f(x) = (x²-4x +4)  5x²

from the formula (a -b)² = a² +b² -2ab

f(x) = (x -2)²*5x²

Thus, the factors of the given expression are 5x², (x - 2), and (x - 2).

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Answer:

It is a biased because he only asked the people who left band class. He wanted the people of band class to represent his entire school's opinion. Besides, the students of that class are limited number. If he randomly asked the question, the people chosen would be of any gender, class, etc. and its all random.

Answer:

8.43

Step-by-step explanation:

8 + 10 + 10 + 10 + 6 + 7 + 8 = 59

59/7 = 8.43 (or keep as improper fraction)

Answer:

0.524

Step-by-step explanation:

The probability that the chosen student is a male is 0.524 .

Given,

Number of male students who participated in sports = 110

Number of female students who participated in sports = 100

Number of male students who did not participated in sports = 180

Number of female students who did not participated in sports = 210

Now,

The probability that the male students is chosen will be given by,

P(MALE) = 110/210

P(MALE) = 55/105

P(MALE) = 11/21

P(MALE) = 0.524

Thus the probability of chosing a male student who participates in the sport is 0.524 .

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Answer:

Ms. Burns would need 7 cups of flour and 1 1/2 cups of sugar.

Step-by-step explanation:

I MULTIPLIED each fraction by 2.

Answer: 7 cups of flour 1 1/2 cups of sugar

Step-by-step explanation:

Glad to help

Answer:

B. 12m + 6

Step-by-step explanation:

Just distribute the 3 to both 4m and 2.

Answer:

B. 12m + 6

Step-by-step explanation:

Because there is a three, we must do three times both of the terms:

(3 x 4m) + (3 x 2)

When you do it, we get:

12m + 6

We cannot simplify it any further, so 12m + 6 is out final answer.

Hope this helped :]

Answer:

X=-2

Step-by-step explanation:

You start with adding 7 to the side with -9 to get the (x) alone. Then you have x=-2.

Answer:

x = -2

Adding two negative numbers is easy: you're just adding two "negative" arrows, so it's just like "regular" addition, but in the opposite direction. For instance, 4 + 6 = 10, and –4 – 6 = –4 + (–6) = –10.

Answer:

[tex]\frac{x^{2} }{1} +\frac{y^{2} }{2}=1[/tex]

Step-by-step explanation:

The directrices of an ellipse are defined by

[tex]x=(+-)\frac{a}{e}[/tex]

Where [tex]a >b[/tex], and [tex]e[/tex] is the eccentricity defined by [tex]e=\frac{c}{a}[/tex]

So, in the first choice, we have the equation

[tex]\frac{x^{2} }{4}+\frac{y^{2} }{1} =1[/tex]

Where [tex]a^{2}=4[/tex] and [tex]b^{2}=1[/tex], which means [tex]a=2[/tex] and [tex]b=1[/tex].

In an ellipse, we have the relation

[tex]c^{2}=a^{2}-b^{2}[/tex]

Replacing values, we have

[tex]c^{2} =4-1=3\\c=\sqrt{3}[/tex]

So, the eccentricity is [tex]e=\frac{\sqrt{3} }{2}[/tex] and the directrices are [tex]x=(+-)\frac{2}{\sqrt{3} }[/tex], which means the first choice is not the right answer. In other words, the right answer is the second choice, because third and fourth choices don't represent an ellipse, both fractions must be positive in that case.

Therefore, the right answer is

[tex]\frac{x^{2} }{1} +\frac{y^{2} }{2}=1[/tex]

Answer:

OPTION B IS CORRECT

Step-by-step explanation:

FOR A VERTICAL ELLIPSE a IS ALWAYS LARGER THAN b AND a is always right under y-squared in the equation.

Final answer:

To find out how much money will be in the account after 8 years with $200 initial investment and a 3% interest compounded monthly, use the compound interest formula A = P(1 + r/n)^(nt). The calculation results in approximately $256.67 in the account after 8 years.

Explanation:

To calculate how much money will be in the savings account after 8 years with an initial investment of $200 and a 3% interest rate compounded monthly, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

In this case, P = $200, r = 0.03, n = 12 (since interest is compounded monthly), and t = 8.

The formula becomes:

A = 200(1 + 0.03/12)^(12*8)

Calculating this we get:

A = 200(1 + 0.0025)^(96)

A = 200(1.0025)^96

A = 200(1.283362)

A ≈ $256.67

After 8 years, the savings account will have approximately $256.67.

Answer:

Step-by-step explanation:

Step 1: Add 8 to both sides.

2x−8+8<12+8

2x<20

Step 2: Divide both sides by 2.

2x/2<20/2

x<10

Answer:

A = 38°

B = 50.32°

C = 91.68°

a = 8

b = 10

c = 12.77

Step-by-step explanation:

The first thing is to find the angle B, like this:

sin B = b * sin A / a = 10 * sin (38 °) / 8

sin B = 0.77

B = arc sin (0.77)

B = 50.32 °

For angle C, it would be:

C = 180 - 38 - 50.32

C = 91.68 °

Side c, we calculate it like this:

c = a * sin C / sin A = 8 * sin (91.68 °) / sin (38 °)

c = 12.77

Answer:

x=0

Step-by-step explanation:

2x-6+9=3x+3+x

2x+3=4x+3

2x=4x

2x-4x=0

-2x=0

x=0

Answer:

Two more (+2) than three times (3) the difference between eight and a number (8-n)

Step-by-step explanation:

hope this helps

Answer:

Option (3) is the answer.

Step-by-step explanation:

Given question is incomplete; find the complete question in the attachment.

Jewelry made by Nala is a composite figure having three fourth of a circle and two sides of a square.

Perimeter of the whole figure will give us the length of wire needed to design the jewelry.

Perimeter of three fourth of a circle P(circle) = [tex]\frac{3}{4}(2\pi r)[/tex]

Here, r = radius

P(circle) = [tex]\frac{3\pi (3)}{2}[/tex]

             = 14.14 cm

Perimeter of the complete (composite) figure = 14.14 + 3 + 3

                                                                            = 20.13

                                                                            ≈ 20.1 cm

Therefore, Option (3) is the answer.

Hi.

This is a geometric sequence with the rational of the sequence  : 1.75

If you start with  1,

Then  U0 = 1

and U24 = 1*1.75^24≈ 680 634

Answer:

C)

Step-by-step explanation:

Given: Base edge of square pyramid a= 48 cm

Slant height square pyramid l =26 cm

Let h be the height of the right pyramid

Thus,

The volume of square pyramid

Thus C is the right option.The volume of square pyramid=

hope this helped plz let me know :)

Answer:

$128.73

Step-by-step explanation:

78 + 25 + 13.73 + 12= 128.73

Answer:

32%

Step-by-step explanation:

25 - 17 = 8

8/25 x 100% = 32%

Answer:

32

Step-by-step explanation:

ed 2020

Answer:

x = 9

Step-by-step explanation:

2/3x +5 = -2/6x +14

Simplify

2/3x +5 = -1/3x +14

Add 1/3x to each side

2/3x + 1/3x +5 = -1/3x +1/3x +14

3/3x +5 = 14

x+5 = 14

Subtract 5 from each side

x+5-5=14-5

x = 9

Answer:

Jerry  is correct

Step-by-step explanation:

[tex]8^{x} = 512[/tex]

this equation is asking 8 to what power is 512

Emma said the solution is x=3. Her explanation is 8 x 3 which would equal 24. This is not the correct answer.

Jerry's solution  is x = 3. His explanation is 8 x 8 x 8 which would equal 512. This is the correct answer.

Mel's solution is x = 8. Her explanation is 8 x 3 which equals 24. This is not the correct answer.

Victoria's solution is x = 8. Her explanation is 8 x 8 x 8 which would equal 512. However, her explanation is correct, her solution is not. [tex]8^{8} = 16777216[/tex]. That is what her solution is saying.

Answer:

Answer is D

500 times, lets divide that by 100. So... 3 out of 5 times is 60%

Step-by-step explanation:

Final answer:

Quadrilaterals that can have two sides of length 7 cm and two of length 4 cm are a rectangle and a parallelogram; a square cannot, and a trapezoid is not certain.

Explanation:

The type of quadrilaterals that can be drawn with two sides of length 7 cm and two sides of length 4 cm are a rectangle and a parallelogram. A square cannot have sides of different lengths, so it wouldn't fit the requirement. A trapezoid could possibly have these side lengths, but only if the non-parallel sides are of different lengths, which isn't stated in the question.

The reason for choosing a rectangle is because it has four right angles and the opposite sides are equal, allowing for two sides to be 7 cm and the other two to be 4 cm. A parallelogram can also have sides of these lengths as long as the opposite sides are equal, and the angles are not restricted to 90 degrees like in a rectangle.

Answer:

62.5 would go 5 lines out and 23.35 would go in the middle of the third and fourth line

Step-by-step explanation:

Answer:

Dive by n square root two, also option one.

Step-by-step explanation:

The first step to any algebra equation is to isolate the variable and you do that by divide square root 2 since it cancels out on the left side and now n is alone.

Hoped that helped :)

Answer:

Step-by-step explanation:

the answer is basically 4.5% and the 6%

Answer:

it's the 2 year loan is 4.5%

Answer:

Equilateral triangles, squares and regular hexagons are the only regular polygons  that will tessellate. Therefore, there are only three regular tessellations.

Step-by-step explanation:

Answer:

It's the first answer. Remember, equations like that are always y=mx+b. Y is whatever y value, m is the slope, x whatever the x value is. b is the y intercept (the y value when x equals 0). In this case, you can tell that 1/2 and 2 are the m, m is slope, so the first option should be correct.

Answer:

The answer is eight.

All you have to do is graph the points and count how many boxes are inside the points.

Answer:

The Answer is 8.

Step-by-step explanation:

When you graph the plots on a graph you might look at the graph and say this looks complicated but if you count the boxes in the shape, you will get your answer as 8 square units.

Answer:

40

Step-by-step explanation:

To solve this, divide the number of guests by the number of guests that can be seated at each table.

325/8 = 40 with a reminder of 5

This means that 40 tables will be completely full while one table has only 5 people