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Based on the given responses, the student who factored 20x^6 = (2x)(10x^5) correctly is Andrei. Therefore, the correct answer is (Choice A) Andrei.

Among the given responses, the student who factored 20x^6 = 20, x to the power of 6 correctly is Andrei. Andrei's factorization is (2x)(10x^5), which correctly represents the original term 20x^6. Therefore, the correct answer is (Choice A) Andrei.

Amit's factorization is (4x^3)(5x^3), which is incorrect because it breaks down the term into two factors with the same exponent, while the original term has an exponent of 6.

Andrew's factorization is (20x^2)(x^3), which is also incorrect as it does not accurately represent the original term 20x^6.

Hence, the only student who correctly factored 20x^6 = 20, x to the power of 6 is Andrei.

The right answer is A. Andrei who factored 20x^6 = (2x)(10x^5) correctly.

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Answer:

3/4

Step-by-step explanation:

please mark me as brainliest

Answer:

3/4

Step-by-step explanation:

You just multiply the whole number by the numerator.

Answer:

Step-by-step explanation:

65%

Step-by-step explanation:

Given: Full capacity= 200000 litres

          Amount of fuel used during flight= 130000 litres

Now, finding percentage of fuel used on the flight.

∴ Percentage of fuel used=  

Solving it, we will get  

∴ 65% of fuel capacity been used in this flight.

Answer:

65%.

Step-by-step explanation:

(130,000/200.000) * 100

= 0.65 * 100

= 65%.

Answer:

\(\textsf{17.} \quad a_n=2(2)^{n-1}\)

\(\textsf{18.} \quad a_n=-729 \left(\dfrac{1}{3}\right)^{n-1}\)

Step-by-step explanation:

To write a rule for the nth term of a geometric sequence, we can use the following formula:

\(\boxed{\begin{minipage}{5.5 cm}\underline{Geometric sequence}\\\\$a_n=ar^{n-1}$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\\phantom{ww}$\bullet$ $r$ is the common ratio.\\\phantom{ww}$\bullet$ $a_n$ is the $n$th term.\\\phantom{ww}$\bullet$ $n$ is the position of the term.\\\end{minipage}}\)

\(\hrulefill\)

Given terms:

Substitute the given values into the formula to create two equations:

\(\begin{aligned}a_3=ar^{3-1}&=8\\ar^2&=8\end{aligned}\)

\(\begin{aligned}a_6=ar^{6-1}&=64\\ar^5&=64\end{aligned}\)

To find the common ratio, r, divide the second equation by the first equation to eliminate a:

\(\dfrac{ar^5}{ar^2}=\dfrac{64}{8}\)

  \(\dfrac{r^5}{r^2}=8\)

\(r^{5-2}=8\)

   \(r^3=8\)

   \(r^3=2^3\)

    \(r=2\)

Substitute the found value of r into one of the equations and solve for a:

\(\begin{aligned}a(2)^2&=8\\4a&=8\\\dfrac{4a}{4}&=\dfrac{8}{4}\\a&=2\end{aligned}\)

Therefore, the rule for the nth term of the given geometric sequence is:

\(\boxed{a_n=2(2)^{n-1}}\)

\(\hrulefill\)

Given terms:

Substitute the given values into the formula to create two equations:

\(\begin{aligned}a_4=ar^{4-1}&=-27\\ar^3&=-27\end{aligned}\)

\(\begin{aligned}a_6=ar^{6-1}&=-3\\ar^5&=-3\end{aligned}\)

To find the common ratio, r, divide the second equation by the first equation to eliminate a:

\(\dfrac{ar^5}{ar^3}=\dfrac{-3}{-27}\)

  \(\dfrac{r^5}{r^3}=\dfrac{1}{9}\)

\(r^{5-3}=\dfrac{1}{9}\)

  \(r^{2}=\dfrac{1}{9}\)

   \(r=\sqrt{\dfrac{1}{9}}\)

   \(r=\dfrac{1}{3}\)

Substitute the found value of r into one of the equations and solve for a:

\(\begin{aligned}a\left(\dfrac{1}{3}\right)^3&=-27\\\dfrac{1}{27}a&=-27\\a&=-729\end{aligned}\)

Therefore, the rule for the nth term of the given geometric sequence is:

\(\boxed{a_n=-729 \left(\dfrac{1}{3}\right)^{n-1}}\)

The area of the rectangle with a length of 12 units and a width of 8 units is 96 sqaure units.

A rectangle is a 2-dimensional shape with parallel opposite sides equal to each other and four angles are right angles.

The area of a rectangle is expressed as;

Area = length × breadth

From the image:

Length of the rectangle = 12 units

Breadth of the rectangle = 8 units

Area of the rectangle = ?

Plug the given values into the above formula and solve for the area:

Area = length × breadth

Area = 12 units × 8 units

Area = 96 sqaure units

Therefore, the measure of the area is 96 sqaure units.

Option A) 96 sqaure units is the correct answer.

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Answer:

90 days

Step-by-step explanation:

This one is just simple division, so you divide the goal number which is -5400 by -60 but in this situation you can just make them positives.

Answer:

C. 128 ft³

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Volume of a Rectangular Prism Formula: V = lwh

Step-by-step explanation:

Step 1: Define

Identify variables

l = 8 ft

w = 4 ft

h = 4 ft

Step 2: Find Volume

Answer:

Formula to be used :-

Calculation :-

=> V = LWH

=> V = 8 × 4 × 4

=> V = 128 ft²

The area of the triangle is 8 units

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted by triangle ABC.

The area of a triangle is expressed as;

A = 1/2bh. The base and height of the triangle are not given, therefore we use Pythagoras theorem to find the base and height.

Since the triangle is an isosceles right angled. Represent the other two sides by x

(4√2)² = x²+x²

16× 2 = 2x²

32 = 2x²

x² = 16

x = √16

x = 4

Therefore the height and base is 4

A= 1/2 × 4× 4

A = 1/2 × 16

A = 8 units

therefore the area of the triangle is 8units

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Answer:

15

Step-by-step explanation:

so when we make 1 1/2 into an improper fraction it is 3/2 so what do they have in common, that is 15/10 so its 15

Answer:

A

Step-by-step explanation:

Answer:

x=25°

y=25°

Step-by-step explanation:

E^+F+EG^F=180°(sum of int. angles of triangle)

x+35+90+30=180

x=180-90-30-35

×=25

HE^G+H+G=180° (sum of int. angles of triangle)

35+30+y+90=180

y=180-90-35-30

y=25

Answer:

(4,0)

Step-by-step explanation:

You basically are plotting a point on the positive number 4 on the x line. Since they're only asking for an X and not a Y, you'd leave it as (4,0). Hope this helps!

If the price per barrel of crude oil goes up to US$75 and the U.S. dollar exchange rate drops to 5.865, the amount to be paid per barrel of crude oil is $439.875 in the domestic currency.

When the price of oil increases, there is a depreciation of the U.S. dollar's exchange rate.

Similarly, when the U.S. dollar weakens, crude oil prices increase.

The implication is that a stronger U.S. dollar ensures that fewer U.S. dollars are spent to purchase a barrel of oil.   On the other hand, when the U.S. dollar is weak, the price of oil is higher in dollar terms.

Thus, if the price per barrel of crude oil goes up to US$75 and the U.S. dollar exchange rate drops to 5.865, the amount to be paid per barrel of crude oil is $439.875 in the domestic currency.

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Answer:

Step-by-step explanation:

a). When graph w(x) is transformed to r(x) = 4 × w(x), graph of w(x) is vertically  stretched by a scale factor of 4.

Table for the corresponding points will be,

x               w(x)                  r(x)

0                0                  0×4 = 0

15              60               60×4 = 240

30             120             120×4 = 480

45             180             180×4 = 720

b). As discussed in part (a), graph of w(x) will be vertically stretched by a scale factor of 4 to produce the graph of r(x).

c). Since, w(x) = 4x

  and r(x) = 4[w(x)]

  r(x) = 4(4x) = 16x

 r(x) = 16x

Solution

For this case we know that the area is 108 ft²

And we have the following equation:

n = 108/m

But we know that n represent the width

Then the best interpretation is:

C. m= the length of the garden

∠LMN is an obtuse angle.

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

Explanation

Let's go through the answer choices to see which are true, and which are false.

Answer:

how do I give the coordinates of the image

Step-by-step explanation:

Answer:

depends how much he chopped up

Step-by-step explanation:

Answer:

Nothing

Step-by-step explanation:

"5. Hamza chopped up

pineapple and gave ½ to his

mum. He also ate half himself.

How much was left to give to

his dad?"

1 - 1/2 - 1/2 = 2/2 - 1/2 - 1/2 = 1/2 - 1/2 = 0

Answer: There was nothing left for him.

Answer:

can i have a photo, please?

Step-by-step explanation:

The truth value of the statement is false

Given that

The statement "even numbers are divisible by 2" is true

The above statement is a conditional statement and we can calculate the following properties for the statement

In this case, we are to calculate the negation of the statement

When the statement "even numbers are divisible by 2" is negated, we have

The statement "even numbers are not divisible by 2" is not true

In logic expressions,

not true means false

So, the truth value of the statement is false

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The computed mean expenses of the XYZ Corporation based on the given information are 9,911.22.

The mean refers to the average value.

The mean is computed as the quotient that results from dividing the total value of the data set by the number of items in the set.

Name                      Total Sales      Total Expenses

Quezon City            14,950.00             4,933.50

Caloocan City         18,290.00             6,035.70

Marikina City          37,200.00           12,276.00

Cebu City                18,900.00            6,237.00

Davao City             45,000.00          14,850.00

Mandaluyong City 23,000.00           7,590.00

Cavite                     22,000.00          7,260.00

Laguna                    21,000.00          6,930.00

Manila                    66,000.00         21,780.00

Iloilo                       34,000.00          11,220.00

Total                                                  99,112.20

Mean Expenses = 9,911.22 (99,112.20 ÷ 10)

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Answer:

x = 2

Step-by-step explanation:

9 + 5x = 3x + 13

move all like terms to one side

5x - 3x = 13 - 9

2x = 4

divide both sides by 2

x = 2

Hope this makes sense!

- profparis

hi

9+5x = 3x+12

5x -3x = 12 -9

 2x = 3

   x =  3/2

   x = 1.5

check :  

9 + 5 (1.5) = 9 + 7.5 = 16.5

3 (1.5) +12 =  4.5 +12 = 16.5

Answer:

14/3

Step-by-step explanation:

-5(u-5)=-5u+25

distribute left side:-5u+25=4u-27

+5u to start isolating u: 25=9u-27

+27 to further isolate u: 52=9u

divide to finish isolating u: u=52/9=14/3

The calculation of the trigonometry illustrates that:

sin 45° = 1/✓2

cos45/tan 45 =

cos 45 sin 45 = 1/2

Opposite = 1

Adjacent = 1

Hypothenuse = ✓2

Tan 45 = opposite/adjacent = 1

Sin 45 = opposite/hypothenuse = 1/✓2

Cos 45 = adjacent/hypothenuse = 1/✓2

cos45/tan 45 = (1/✓2) / 1 = 1/✓2

Cos 45 sin 45 = 1/✓2 × 1/✓2 = 1/2

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Answer:

210

Step-by-step explanation:

210 students attend the school. if 60 students are taking art, and there are 2 art students in every 7 students, that means there are 30 groups of 7 because 30×2=60 so since the other 5 do not take art, you would multiply 30×5 and get 150. Then you would add 60 and you would get 210

Given:

In triangle ABC, D is incenter m∠ACB = 3x + 54 and m∠ACD = x + 31.

To find:

m∠ACD.

Solution:

We know that,

Incenter of a triangle is the intersection point of all angle bisectors.

\(\angle ACD=\angle BCD\)      ...(i)

Now,

\(\angle ACB=\angle ACD+\angle BCD\)

\(\angle ACB=\angle ACD+\angle ACD\)       [Using (i)]

\(\angle ACB=2\angle ACD\)

Substitute the values, we get

\(3x+54=2(x+31)\)

\(3x+54=2x+62\)

\(3x-2x=62-54\)

\(x=8\)

The value of x is 8.

\(m\angle ACD=x+31\)

\(m\angle ACD=8+31\)

\(m\angle ACD=39\)

Therefore, the measure of angle ACD is 39 degrees.

Answer:

symmetry is a mirror image

Step-by-step explanation:

all it really is if you were to cut it in half would one side match the other

Answer:

Square

Step-by-step explanation:

If you cut it any where it will become symmetrical

Answer:

because cfd eaquls a+b lllllllllll

Answer:

Step-by-step explanation:

IT is either the same as 7x+4 because it is infront of each other or you add 8x+6 and 6x+2 then you substract that from 180 to find out the remaining angle. Of course you have to subtitute the amount of x first.

The original amount of the sale is $165

The given parameters are:

Bill after discount = $140

Discount = 15%

The original amount of the sale is calculated as:

Bill after discount = original amount * (1 - Discount)

So, we have:

140 = original amount * (1 - 15%)

This gives:

140 = original amount * 0.85

Divide by 0.85

Original amount = 165

Hence, the original amount of the sale is $165

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Answer:

Based on the given equation, the function g is an exponential function with base 2. The y-intercept of the function g is at (0, 4).

The graph of function f is not described, so it is not possible to accurately compare the two functions. In order to accurately compare the two functions, it would be helpful to have more information about the graph of function f, such as the vertex and any other points that the graph passes through.