show that (x-1) is a factor of x¹⁰-1​

Answers

Answer 1

Answer:

The answer is 0 X=1

1. x10-1

(1)10-1

1-1

=0

2. x11-1

(1)11-1

1-1

=0

Step-by-step explanation:

Answer 2
x^10 - 1 = (x^5+1)(x^5-1)
= (x^5+1)(x)(x^2+1)(x^2-1)
= (x^5+1)(x)(x^2+1)(x+1)(x-1)

See that (x-1) is one of the factors after the factorization. This proves it.
Whew

Related Questions

Pluto is 2.7 times 10 to the power of 9 miles from the sun. Venus is 6.7 times 10 to the power of 7 miles from the sun. How mnay times greater is the distance of pluto to the sun than venus

Answers

Answer:here for the comments

Step-by-step explanation:

Answer:

The answer is 40.3 times greater

Step-by-step explanation:

At a frisbee-throwing competition, one contestant threw a frisbee 113.47 meters.
Round the distance to the nearest meter.

Answers

Answer:

113 meters

Step-by-step explanation:

113.47 rounded to the nearest meter is 113.

The distance of frisbee to the nearest meter will be equal to 113 meters.

What is a round of numbers?  

An integer containing one or more "0"s at the end in a specific base is said to be round. In this way, 590 is more rounded than 592 but less rounded than 600.

A round number is frequently understood to stand for a value or values close to the nominal value expressed in both formal and informal language.

The distance to the nearest meter will be given as below:-

113.47 meters. = 113 meters.

Therefore, the distance of the frisbee to the nearest meter will be equal to 113 meters.                                                                                                        

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HELLLP ASAP FIRST PERSON WITH CORRECT ANSWER WILL RECEIVE BRAINLIEST


Lines l and m are perpendicular. A point Q has this
property: rotating Q 180 degrees using center P has the
same effect as reflecting Q over line m.
a. Give two possible locations of Q.
b. Do all points in the plane have this property?

Answers

Rotating Q 180 degrees using the center P has the same effect as reflecting Q over the Line M
Step-by-step explanation:
Rotating Q 180 degrees using the center P has the same effect as reflecting Q over the Line M and this is because Lines L and M are perpendicular lines ( i.e. lines that meet a right angle ( 90° ).
Hence rotating Q 180 degrees form the center will be similar to reflecting Q over any of the perpendicular lines

A herd of cows gives 4 litres of milk each day. But each cow gives one-third of total milk
each day. They give 24 litres milk in six days. How many cows are there in the herd?

Answers

Answer:

4 divided by one third then you take the answer and divide it with 24

hope i could help

Find the volume of this cone.
Use 3 for T.
12ft
12
5ft
V = Tr?
V [?]ft3
V

Answers

Answer:

V = 180 ft^3

Step-by-step explanation:

The volume of a cone is found by

V = 1/3 pi r^2 h  where r is the radius and h is the height

The diameter is 12 so the radius is 1/2 the diameter or 1/2(12) = 6

The height is 5 and we are using 3 for pi

V = 1/3 (3) *6^2 *5

V = 180 ft^3

Which of the following statements is true according to the measurements in the diagram?

Answers

Let's look at the corresponding ratios:

[tex]\frac{AB}{ED}=\frac{24}{30}=\frac{4}{5}\\

\frac{BC}{DC}=\frac{16}{20}=\frac{4}{5}\\

\frac{AC}{EC}=\frac{21}{28}=\frac{3}{4}\\[/tex]

And we see that the three aren't equal.

Hence, $\Delta ABC$ and $\Delta EDC$ are not similar.

Answer:

°[Option 3] => Triangle ABC and Triangle EDC are not similar

Step-by-step explanation:

The angles nor the sides are congruent in this image.

Please mark Brainliest

Help need work shown ASAP

Answers

Answer:

y = 2x + 1

Step-by-step explanation:

From the table attached,

x          y            Difference [tex][d=(y_2-y_1)][/tex]

-1         -1                   -

0          1              1 - (-1) = 2

1           3             3 - 1 = 2    

2          5             5 - 3 = 2

Since,there is a common difference 'd' = 2

Therefore, this table represents a linear equation.

Let the equation is,

y = mx + b

where 'm' is the slope and 'b' is the y-intercept.

Two points lying on the linear equation are (-1, -1) and (0, 1)

Slope 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m = [tex]\frac{1+1}{0+1}[/tex]

m = 2

And y-intercept 'b' = 1 unit

Therefore, equation of the line will be,

y = 2x + 1

Loreto quería decorar un viejo tambor metálico para usarlo de paragüero. Para ello, contaba con un grueso cordón que pretendía pegar en el contorno del borde superior del tambor. Sabiendo que el diámetro de este era 58,5 cm, cortó el cordón, dejando el trozo más largo de 175,5 cm de longitud de modo que le alcanzara justo, pero le faltaron 7 cm. ¿Cuál fue el error de Loreto?

Answers

Answer:

u should put the question in English to so English people can also help

¿Cuál es el área de un rectángulo, sabiendo que su perímetro mide 24 cm y que su base es el triple de su altura?

Answers

Answer:

El área del rectángulo es:

27 cm²

Step-by-step explanation:

Consideración:

La formula del perímetro de un rectángulo es:

p = 2(altura + base)

Planteamiento:

24 = 2(a+b)

b = 3a

a = longitud de la altura del rectángulo

b = longitud de la base del rectángulo

Desarrollo:

sustituyendo el valor de la segunda ecuación del planteamiento en la primer ecuación del planteamiento:

24 = 2(a + 3a)

24/2 = 4a

12 = 4a

a = 12/4

a = 3 cm

de la segunda ecuación del planteamiento:

b = 3a

b = 3*3

b = 9 cm

Comprobación:

de la primer ecuación del planteamiento:

24 = 2(3+9)

24 = 2*12

Respuesta:

la formula del área de un rectángulo es:

A = base * altura

A = 9cn * 3cm

A = 27cm²

The Area of rectangle is 27 unit².

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Perimeter = 24 cm

let the height of rectangle be x.

then the base= 3x

Now, Perimeter of rectangle= 2 ( l + w)

24 = 2( x+ 3x)

12 = 4x

x= 12/4

x= 3 units

So, length= 9 units and width= 3 units

Thus, Area of Rectangle= l x w

                                       = 9 x 3

                                       = 27 unit²

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The translated Question is:

What is the area of a rectangle, knowing that its perimeter measures 24 cm and that its base is three times its height?

simplify 2- 5/8 and -2 3/5 A. -6 33/40 B. 4- 3/8 C. 4 3/8 d. 6 33/40

Answers

Answer:

Step-by-step explanation:

Convert mixed fraction to improper fraction.

[tex]-2\dfrac{5}{8}*(-2\dfrac{3}{5})=\dfrac{-21}{8}*\dfrac{-13}{5}\\[/tex]

                    [tex]=\dfrac{(-21)*(-13)}{8*5}\\\\\\=\dfrac{273}{40}\\\\=6\dfrac{33}{40}[/tex]

kinda confused buttttt anyone know this?

Answers

Answer:

Hey there!

The overlapping part is the product.

Thus, the product is 1/8.

Hope this helps :)

the perimeter of square is 76 cm find are of square ​

Answers

Answer:

Given the information above, the area of the square is 361 cm²

Step-by-step explanation:

A square is a shape with four equal sides. So, in order to find the area of the square, we must find the length of each individual side. We can do this by dividing the perimeter by 4 because a square has 4 equal sides meaning they have the same lengths.

The perimeter of the square is 76. So, let's divide 76 by 4.

76 ÷ 4 = 19

So, the lengths of each sides in the square is 19cm.

In order to find the area, we must multiply the length and the width together. Since a square has equal sides, then we will multiply 19 by 19 to get the area.

19 × 19 = 361

So, the area of the square is 361 cm²

Answer:

361 cm^2

Step-by-step explanation:

The area of a square can be found by squaring the side length.

[tex]A=s^2[/tex]

A square has four equal sides. The perimeter is the sum of all four sides added together. Therefore, we can find one side length by dividing the perimeter by 4.

[tex]s=\frac{p}{4}[/tex]

The perimeter is 76 centimeters.

[tex]s=\frac{76 cm}{4}[/tex]

Divide 76 by 4.

[tex]s=19 cm[/tex]

The side length is 19 centimeters.

Now we know the side length and can plug it into the area formula.

[tex]A=s^2\\s=19cm[/tex]

[tex]A= (19 cm)^2[/tex]

Evaluate the exponent.

(19cm)^2= 19 cm* 19cm=361 cm^2

[tex]A= 361 cm^2[/tex]

The area of the square is 361 square centimeters.

Ethan sells e candy bars for $2.50 apiece and Chloe sells c candy bars for $2.00 apiece to raise
money for a school trip. Ethan sold 15 fewer candy bars than Chloe, but he also got a $6.00
donation. If Chloe and Ethan raised the same amount of money, which of the following systems
could be used to find how many candy bars each sold?

Answers

The system that could be used to find how many candy bars each sold is given is option B.

What is the candy bar about?

Since Ethan sold 15 fewer candy bars than Chloe, as portrayed in the question, so:

e = C - 15

Based on the fact that Chloe and Ethan raised the same amount of money, the equation will be:

2C: 2.5e + 6

Therefore, The system that could be used to find how many candy bars each sold is given is option B.

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Margo bought the following lengths of ribbon: 3/4 yd, 1/3 yd, 1/2 yrd. How much ribbon did she buy?

Answers

Answer:

she bought 19/12 lengths of ribbon or aka 1 7/12

Step-by-step explanation:

3/4 + 1/3 + 1/2 = 13/12 + 1/2

13/12 +1/2 = 19/12

19/12 simplify is 1 7/12

Margo bought [tex]1\frac{2}{3}[/tex] yards of ribbon.

What is a fraction ?

A fraction represents how much part of total quantity is present.Fractions are of two types proper fraction and improper fraction.

According to the question given Margo bought some ribbons of length    3/4 yd, 1/3 yd and 1/2 yd.

To find the total ribbon she bought in yards we have to take the sum of all the fractions.

∴ (3/4) + (1/3) + (1/2) yards.

Now to sum these fractions we have to take LCM of the denominators which is 12.

So, { (3×3) + (1×4) + (1×6) }/12.

= (9 + 4 + 6)/12.

= 19/12 or 1 whole 2/3 yards of ribbon.

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Always true, sometimes true, never true?

(x-1)(1+3)>0, x<1​

Answers

Never true, because then x would be less that 1, and that would mean it would have to be 0 or below. And if you subtract 0 or below from -1, your going to get a negative number. And then you have to multiply that negative number by 4. And 0 can not be less than that so therefor it’s never true.

Help!!! Simplify each expression

Answers

All the problems are about combining like terms. Whole numbers go together and unknown values, so long as the letter that represents them match, also go together.

1. -2k
2. -8n - 3
3. 6b + 2
4. -7x
5. 5x + 12
6. 9 - 2k
7. 10x
8. -3x
9. 8x - 1
10. 4m + 7
11. 3m
12. 1 + 4v
13. -3v
14. 4 - 2n
15. x - 11
16. 0
17. 9k
18. -4x - 6
19. -10x
20. 2a

Answer:

1)-2k

2)-8n-3

3)6b+2

4)-7x

5)5x+12

6)-2k+9

7)10x

8)3x

9)8x-1

10)4m+7

11)3m

12)4v+1

13)-3v

14)-2n+4

15)x-11

16)0

17)9k

18)-2x-6

19)-10x

20)2a

If you have any questions regarding my answer tell me in the comments, and I will come answer them. Have a good day.

i need help with this question ​

Answers

Answer:

1000ml

Step-by-step explanation:

4 days she drank ½ of the bottle

so she drank ⅛ l of juice everyday

so

1000ml is the answer

someone help me really quick

Answers

Answer:

u^18

Step-by-step explanation:

(u^3)^6

=

u^(3*6)

=

u^18

Hope this helps!

Jessie has some nickels, dimes, and quarters in her bank. The number of coins is 30. The expression 0.05n + 0.10d + 0.25q represents the value of the coins, which is $3.45. Jessie has five more nickels than she does quarters. How many of each coin does Jessie have?

Answers

Answer:

n = 12 nickels

d = 11 dimes

q = 7 quarters

Step-by-step explanation:

.05n + .1d + .25q = 3.45

n + d + q = 30

n = q + 5

n = 12

d = 11

q = 7

Find the slope of the line passing through the points (-9, -3) and (7,-7).
DI
DD
Undefined
$
?

Answers

Answer:

-1/4

Step-by-step explanation:

Slope = y/x - y1/x1

=> -7/7 - (-3/-9)

=> -7 +3 / 7+9

=> -4/16

=> -1/4

The slope for the given coordinates of points is -1/4.

What is the slope of straight line?

The slope of a straight line is the tangent of the angle formed by it with the positive x axis as the reference.

The negative slope indicates the rate of decrease while the positive shows the rate of increase.

The given points are (-9, -3) and (7,-7).

The general expression to find the slope for two points (x₁, y₁) and (x₂, y₂) is given as,

m = (y₁ - y₂)/(x₁ - x₂)

Plug (x₁, y₁) = (-9, -3) and (x₂, y₂) = (7, -7) to get,

⇒ m = (-3 + 7)/(-9 - 7)

⇒ -1/4

Hence, the slope is obtained as -1/4.

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factorise: 2x² - x - 3​

Answers

Answer:

(2x-3)(x+1)

Step-by-step explanation:

2x²-x-3

(2x-3)(x+1)

Step-by-step explanation:

jdyxgxismsm? Juebzbijbs sbj? {![%°%=%℅%ש™${$[$¢

Which of the following is most likely the next step in the series?

A.
B.
C.
D.

Answers

Answer:

B

Step-by-step explanation:

In each one, they add two arrows that are to the right as much as they possibly can be

The area of a circular rose garden is 44 square meters. What is the radius of the garden? Remember a=πr^2. Use π=22/7

Answers

Answer:

If the area of a circular rose garden is 44 square meters, then we can write:

44 = πr^2

And since π is equal to  22/7, we have:

44 = 22/7(r^2)

Multiply both sides by 7/22 to cancel the 22/7:

14 = r^2

And finally, we see that the radius of the garden is:

[tex]\sqrt{14}[/tex]

Let me know if this helps!

Answer:

r = sqrt(14)

Step-by-step explanation:

The area of a circle is

A = pi r^2

44 = 22/7 * r^2

Multiply each side by 7/22

44 * 7/22 = 22/7 * 7/22 r^2

14 = r^2

Take the square root of each side

±sqrt(14) = r

The radius must be a positive length

r = sqrt(14)

What is the value of the expression 3y−z
y+5z
when y = 6 and z = 2?

Answers

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

[tex]\huge\text{Question \#1}[/tex]

[tex]\huge\textsf{3y - z}[/tex]

[tex]\huge\textsf{= 3(6) - 2}[/tex]

[tex]\huge\textsf{= 18 - 2}[/tex]

[tex]\huge\textsf{= 16}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: 16}}}\huge\checkmark[/tex]

[tex]\huge\text{Question \#2}[/tex]

[tex]\huge\textsf{y + 5z}[/tex]

[tex]\huge\textsf{= 6 + 5(2)}[/tex]

[tex]\huge\textsf{= 6 + 10}[/tex]

[tex]\huge\textsf{= 16}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: 16}}}\huge\checkmark[/tex]

[tex]\huge\textsf{\boxed{\star\underline{\underline{16 = 16}}\star}\star}[/tex]

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

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

When six basketball players are about to have a​ free-throw competition, they often draw names out of a hat to randomly select the order in which they shoot. What is the probability that they shoot free throws in alphabetical​ order? Assume each player has a different name. ​P(shoot free throws in alphabetical ​order)=

Answers

Answer as a fraction = 1/720

Answer in decimal form (approximate) = 0.001388

Answer in percent form (approximate) = 0.1388%

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

Explanation:

Let A = 1 to indicate the number of ways to get the names to line up in alphabetical order.

There are B = 6*5*4*3*2*1 = 720 different ways to arrange the six people. Notice how I started at 6 and counted my way down to 1, multiplying all along the way. This can be shortened to factorial notation to say 6! = 720. Or you could use the nPr permutation formula to get the same result (use n = 6 and r = 6).

Once you have the values of A and B, we form the fraction A/B = 1/720 which is the probability of getting the names in alphabetical order.

If you need the answer in decimal form, then use your calculator to find

1/720 = 0.001388

which converts over to 0.1388%

4.
1 point
A recipe that serves 6 calls for 4 ounces of tomato sauce. Compute
the amount of tomato sauce necessary to serve 8 people. Round your
answer to the nearest ounce

Answers

Answer:  6 ounces

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

Work Shown:

(6 servings)/(4 oz of sauce) = (8 servings)/(x oz of sauce)

6/4 = 8/x

6*x = 4*8

6x = 32

x = 32/6

x = 5.333 approximately

x = 6 we round up despite 5.333 being closer to 5, than it is to 6.

If we went with 5 ounces, then we wouldn't clear the hurdle needed to serve 8 people.

The section below goes over why this is the case in more detail.

---------

6 servings : 4 ounces

6/4 servings : 4/4 ounces

1.5 servings : 1 ounce

So one ounce of sauce gets us 1.5 servings.

If we multiply both sides by 5, then,

1.5 servings : 1 ounce

5*1.5 servings : 5*1 ounce

7.5 servings : 5 ounces

This shows that 5 ounces of sauce will only produce 7.5 servings, which comes up short compared to 8 servings.

If we multiplied both sides by 6, then

1.5 servings : 1 ounce

6*1.5 servings : 6*1 ounce

9 servings : 6 ounces

This shows that 6 ounces of sauce yields 9 servings. We've gone overboard, but it's better to do that than come up short.

The entire group your sample is attempting to describe is known as the ____________.
A. population
B. subgroup
C. census
D. organization

Answers

Answer:

Population

Step-by-step explanation:

A.

A population is the entire group that is being studied while a sample is a subset of the population that is being studied.

A) population . hope this helps

Please help ! First one to give correct answer gets brainliest!

Answers

Answer:

(4x+1)²

Step-by-step explanation:

I need help pls pls pls pls

Answers

Answer:

1. -18x+6

multiply everything inside with the number outside the bracket

2. -18x-6

same as number one

3. 18x-12

same as number one

4. -18x-6

same as number one

for 5 I can't see it well but it should be similar

you just need to substitute what's outside the bracket to what Is inside the bracket

Answer: -6 (3x+1)

Step-by-step explanation:

Factor the polynomial -18x-6−18x−6 by it's GCF: -6−6

You pull one card at random from a standard deck and you shuffle the remaining cards. Then you pull another card. Is the event independent or dependent?

Answers

Answer:

If an event is affected by previous events then it is a dependent event, while if an event is not affected by the previous event then it is an independent event.

Since we have replaced the card that we first drew from the deck, it wont affect the event of pulling a card second time.

So, we can say that it is an example of independent event.

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what is the zeff of carbon Which of these is true about entrepreneurs? . A. Entrepreneurs are born not made . B. Anyone can start a business . C. Entrepreneurs are gamblers. D. Age is no barrier in entrepreneurship Select the graph of the solution. Click until the correct graph appears.|x| = 2 A grocery store owner asked the first 20 children who visited the store one day about their favorite snack. This is what type of sampling Read and choose the option with the correct answer, based on what you learned from the lesson. Me llamo Mara. En mi pas yo saco la basura cada every da y quito la mesa despus de cenar. Mi mam me paga pays me cuatro billetes. Juan, y t? Hago la cama despus de desayunar y doblo la ropa en mi cmoda. Antes de salir el sbado, ordeno el bao y corto la grama. Mi pap me to me paga cinco billetes. Based on what you learned from the lesson, which country are Mara and Juan describing? 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Century Roofing is thinking of opening a new warehouse, and the key data are shown below. The company owns the building that would be used, and it could sell it for $100,000 after taxes if it decides not to open the new warehouse. The equipment for the project would be depreciated by the straight-line method over the project's 3-year life, after which it would be worth nothing and thus it would have a zero salvage value. No new working capital would be required, and revenues and other operating costs would be constant over the project's 3-year life. What is the project's NPV? (Hint: Cash flows are constant in Years 1-3.) Portia Grant is an employee who is paid monthly. For the month of January of the current year, she earned a total of 8,588. The FICA tax for social security is 6.2% of the first $118,500 of employee earnings each calendar year and the FICA tax rate for Medicare is 1.45% of all earnings. The FUTA tax rate of 0.6% and the SUTA tax rate of 5.4% are applied to the first $7,000 of an employee's pay. The amount of federal income tax withheld from her earnings was $1,424.97. Her net pay for the month is: (Round your intermediate calculations to two decimal places.) a) $7,038.50 b) $5,141.03 c) $6,072.04 d) $6,566.00 e) $6,506.04 Joy Manufacturing Company needs to know its anticipated cash inflows for the next quarter by month. Cash sales are 25 percent of total sales each month. Historically, sales on account have been collected as follows: 50 percent in the month of the sale, 30 percent in the month after the sale, and the remaining 20 percent two months after the sale. Gross sales for the quarter are projected as follows: January $20,000 February $10,000 March $40,000 Accounts receivable on December 31 were $30,000. Joy's expected cash collections for March would be:________. A. $37,000 B. $32,000 C. $30,250 D. $47,200 A united states presidential coin is made from an alloy of 4 metals-copper, zinc, manganese, and nickel- with weights in the ratio of 177:12:7:4 respectively. The coin weighs a total of 8 grams. What is the weight of the zinc in this coin? ACTIVIDAD 1 (30 puntos/3 puntos cada palabra): completa el texto con las palabras delrecuadro. Complete the text with the words in the box (you will not use all the words; use each given wordonly once). roja sociable alta rubia los es dentista se tiene altosimptico azules est bonita un el marrn blancas abogada rubio Familia pequeaMi familia no es muy grande. Somos mi padre, mi madre, mi hermano, y yo. Tambin tenemos(1) __________ perro. Yo soy mayor que mi hermano, pero l es ms (2) __________. Vamosjuntos al colegio. Yo tengo trece aos y l doce. Mis padres se llaman Carlos y Marta. Mihermano se llama lvaro, y yo Noelia. Vivimos en una casa muy (3) __________. Mi padre es (4) __________, y mi madre enfermera. Por la maana, desayunamos juntos en lacocina. Me gusta desayunar con mi familia. Adems, por las maanas siempre tengo hambre. Despus del colegio, mi madre prepara una comida deliciosa. Mi madre tiene muchas amigasporque es muy (5) __________. Por la tarde, mi madre queda con sus amigas, y mi padre juegaal tenis. Mi hermano y yo hacemos (6) __________ deberes, y despus vemos la televisin. Losviernes por la tarde vamos los cuatro de compras.Mi padre (7) __________ alto, castao y tiene los ojos (8) __________. Mi madre tiene el pelo(9) __________ y los ojos marrones. Mi hermano y yo somos los dos castaos y con ojosmarrones. A mi hermano le gusta jugar a videojuegos con sus amigos. Yo prefiero salir a la calle y jugar conmis amigas en el parque. En el parque hay muchas flores. Mis favoritas son las flores (10) __________. -----------------------------------------------------------------------------------------------------------------ACTIVIDAD 2 (20 puntos/2 puntos cada verbo): completa la siguiente tabla con las formascorrespondientes de los verbos para t y usted en presente simple. Fill in the table with the right forms of the verbs for t and usted in the present simple. Verbo T Usted1. ser2. beber3. estar4. bailar5. mirar6. saludar7. subir8. llamarse9. tener10. abrir---------------------------------------------------------------------ACTIVIDAD 3 (25 puntos/5 puntos cada pregunta): escucha el audio del link y eligeverdadero o falso. https://aedue- my.sharepoint.com/:u:/g/personal/belen_garcia_aum_edu_kw/EeM3YV6SjBZLgifVlwpU8YsBgN50aGw7v0BW8uORok8Fkg?e=dQoNLT1. Jorge est soltero. Verdadero Falso2. Pablo y yo somos primos. Verdadero Falso3. Hugo es nieto de Teresa. Verdadero Falso4. Ftima es la hermana de Teresa. Verdadero Falso5. Miguel y Manuela son mis abuelos. Verdadero Falso-------------------------------------------------------------------------------- Jadens teacher had 4 boxes of pens that each contained y pens. She took 6 pens out of one of the boxes and told her 17 students to divide the remaining pens equally among themselves. Which expression shows the number of pens each student got? write a story with the ending, so you see, you reap what you sow. Think of your own reading experience and write a paragraph of 150 200 words. Use the following questions to guide you. 1. What books or texts did you read when you were in high school? 2. How did you read them? Did you read them all in similar ways? Did you use different ways of reading? If different, what were the ways? 3. Do you think your reading in the past was effective? Why or why not? 4. Do you think you will need to change the way you read for your university study? Explain. ___________________________________________________________________________ Data for Shelby Company for the current year is as follows: Sales Revenue $10,000 Cost of Goods Sold: Beginning Merchandise Inventory $3,000 Net Cost of Purchases 7,000 Cost of Goods Available for Sale 10,000 Less: Ending Merchandise Inventory 2,000 Cost of Goods Sold 8,000 Gross Profit $2,000 Assume that the ending Merchandise Inventory was accidentally overstated by $500. What are the correct amounts for Cost of Goods Sold and Gross Profit?