perform the indicated operations. express the answer as a polynomial written in standard form.
(2x+5y)^2​

Answers

Answer 1

Answer:

Step-by-step explanation:


Related Questions

A point P has coordinates (-8, -2). What are its new coordinates after reflecting point P across the x-axis?

Answers

Answer:

(-8,2)

Step-by-step explanation:

This is because when you reflect a point across the x-axis, the x-coordinate fo the point remains the same and the y-coordinate's sign gets switched.

(x,y) --> (x,-y)

(-8,-2) --> (-8,2)


Does The TI-Nspire works just like the TI-84 ?

Answers

Answer:

TI-Nspire models automatically detect most points of interest such as x and y-intercepts, maximum values, and minimum values when you are in trace mode. TI-84 Plus models require you to use a series of left and right bounds and guesses to find those same values.

nine hundred fifty-three thousand nine hundred two

Answers

Answer:

953 902

Step-by-step explanation:

Answer:

953,902

Step-by-step explanation:

nine hundred =900

fifty-three=53

thousand=1000

nine hundred=900

two=2

If Eric can paint $3$ cars in $4$ hours and $2$ trucks in $5$ hours, then how long, in hours, would it take him to paint $4$ cars and a truck? Express your answer as a common fraction.

Answers

Answer:

47/6

Step-by-step explanation:

Given that :

Time taken to paint 3 cars = 4 hours

Time taken to paint 2 trucks = 5 hours

How long will it take him to paint 4 cars and a truck

If 3 cars = 4 hours ;

Then ;

1 car = (4/3)hours

If 2 trucks = 5 hours

Then;

1 truck = (5/2) hours = 2 1/2 hours

Time required To paint 4 cars :

4 × (4/3) = 16/3 hours

Time required to paint 1 truck :5/2 hours

Total time required :

(16/3 + 5/2) = (32 + 15) / 6 = 47/6

Consider the perfect square trinomial identity:
a2 + 2ab + b2 = (a + b)2.
For the polynomial x2 + 10x + 25,
and b =
a =

Answers

Answer:

a = x

b = 5

Step-by-step explanation:

for the polynomial x² + 10x + 25, b = 5 and a = x.

In the polynomial x² + 10x + 25, we can observe that the first term, x², is the square of x, and the last term, 25, is the square of 5. This suggests that the polynomial follows the perfect square trinomial identity.

The middle term, 10x, can be rewritten as 2ab, where a represents x and b represents a term that when squared equals the last term, 25.

In this case, b = 5, because 5² = 25.

To find a, we can take the square root of the first term, x². The square root of x² is x, so a = x.

Therefore, for the polynomial x² + 10x + 25, b = 5 and a = x.

Learn more about trinomial identity here

https://brainly.com/question/17033454

#SPJ2

The triangle shown below has an area of 4 units
Find the missing side.

Answers

Answer:

[tex]\boxed{4 units}[/tex]

Step-by-step explanation:

Hey there!

Well if the base is 4 and we use the formula,

b*h / 2

4*4 = 16

16/2 = 8

So x is 4.

Hope this helps :)

Answer:

x = 2 units

Step-by-step explanation:

Area of a triangle is given by

base × height

[tex] A = \frac{1}{2} base × height[/tex]

From the question

Area = 4 units²

height = 4 units

let x represent the base

We have

[tex]4 = \frac{1}{2} \times x \times 4[/tex]

4 = 2x

Divide both sides by 2

x = 2 units

Hope this helps you

9 ÷ (-4 1/2) = L.
What is L.​

Answers

Answer:

[tex]\huge\boxed{L = -2}[/tex]

Step-by-step explanation:

L = 9 ÷ [tex](-4 \frac{1}{2} )[/tex]

L = 9 ÷ [tex](-\frac{9}{2} )[/tex]

L = 9 × [tex](-\frac{2}{9} )[/tex]

L = 1× (-2)

L = -2

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Hi my lil bunny!

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[tex]\boxed {l = \frac{-18}{41} }[/tex]

[tex]\frac{\frac{9}{-41} }{2} = l[/tex]

Simplifies to:

[tex]\frac{-18}{41} = l[/tex]

Let's solve your equation step-by-step.

[tex]\frac{-18}{41} = l[/tex]

Step 1: Flip the equation.

[tex]l = \frac{-18}{41}[/tex]

So your answer would be : [tex]\boxed {l = \frac{-18}{41} }[/tex]

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

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Have a great day/night!

❀*May*❀

When the solution of x2 − 9x − 6 is expressed as 9 plus or minus the square root of r, all over 2, what is the value of r? X equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a 6 42 57 105

Answers

Answer:

The value of r is 105

Step-by-step explanation:

Quadratic equation helps us to solve any quadratic equation. The formula is:

(-b ± √b² - 4ac) ÷ 2a

For the quadratic equation ax²+bx+c

For the equation: X² - 9x - 6:

a = 1, b = -9 and c = -6

Replacing in the quadratic formula:

(-(-9) ± √(-9)² - 4(1*-6)) ÷ 2*1

= 9 ± √105 / 2

That means, the value of r is 105

Answer:

105 is right

Step-by-step explanation:

I took the test

solve the following: - 3 raised to 1 by 5 the whole raised to 4 (3^1/5)^4

Answers

Answer:

8.30256

Step-by-step explanation:

Step 1: Write out expression

[tex]((-3)^{\frac{1}{5} })^{4(3^{\frac{1}{5} })^4[/tex]

Step 2: Use BPEMDAS to evaluate

[tex](-1.24573)^{4(3^{\frac{1}{5} })^4[/tex]

[tex](-1.24573)^{4(1.24573)^4[/tex]

[tex](-1.24573)^{4(2.40822)[/tex]

[tex](-1.24573)^{9.6329}[/tex]

= 8.30256

And we have our answer!

please help i beg plsssssssssz​

Answers

Answer:

5/2=20/8=35/14=125/50

Answer:

8, 14, 50

Step-by-step explanation:

5 x 4 = 20

2 x 4 = 8

5 x 7 = 35

2 x 7 = 14

5 x 25 = 125

2 x 25 = 50

Let n be the number of five-digit positive integers which are divisible by 36 and have their tens digit and unit digit equal. Find n/100

Answers

Answer:

1.) 10044

2.) 100.44

Step-by-step explanation:

Since n is a number of five-digit positive integers which are divisible by 36, start multiplying 36 by number. Starting from 278.

Five digits numbers start from multiplying 36 by 278. Any multiplication below 278 by 36 will give four digits numbers.

36 × 278 = 10,008

36 × 279 = 10,044

10,044 tens digit and unit digit equal. Therefore n = 10044

To find n/100, divide 10044 by 100

10044 / 100 = 100.44

Coordinate plane with two lines graphed. The equations of the lines are y equals negative two-thirds x plus four and the other line is y equals two-thirds x. Determine the number of solutions the system of linear equations has and the solution(s) to the equations represented by these two lines? The system of equations has 0 solutions, because the graph has no point of intersection. The system of equations has infinite number of solutions and all real numbers satisfy both equations. The system of equations has 1 solution and it is (3, 2). The system of equations has 1 solution and it is (3, 0).

Answers

Answer:

Step-by-step explanation:

y = -2/3x + 4

y = 2/3x

2/3x = -2/3x + 4

4/3x = 4

4x = 12

x = 3

y = 2/3(3)

y = 2

(3,2) one solution

option 3

Jorge’s monthly bill from his Internet service provider was $25. The service provider charges a base rate of $15 per month plus $1 for each hour that the service is used. Find the number of hours that Jorge was charged for that month.

Answers

Answer:

10 hours for the month

Step-by-step explanation:

What you know: The total amount Jorge was charged for the month was $25

The base rate is $15

He gets charged $1 per each hour

Setting it up:

15+1h=25

(the 15 is the base rate, plus the 1 dollar per hour (h) which both add to the total of 25 dollars for the month)

Subtract 15 from both sides of the equation to get your variable by itself

1h=10

then divide the 1 on both sides to get h (hours) by itself

h=10

And there's your answer, 10 is the number of hours that Jorge was charged for the month

Hopefully this helped :))

Answer:

10

Step-by-step explanation:

$25 - $15 = $10

and its $1 per hour so the answer is 10hrs

You and your friend are playing a game. The two of you will continue to toss a coin until the sequence HH or TH shows up. If HH shows up first, you win. If TH shows up first, your friend wins. What is the probability of you winning?

Answers

Answer:

The probability of friend A winning with HH = 1/4.

Step-by-step explanation:

The probability of an event, A is P(A) given by the relationship;

P(A) = (The number of required outcome)/(The number of possible outcomes)

The parameters given are;

The condition of friend A winning = Coin toss sequence HH shows up

The condition of friend B winning = Coin toss sequence TH shows up

The number of possible outcomes = TT, TH, HH, HT = 4

(TH and HT are taken as different for the game to be fair)

The number of required outcome = HH = 1

Therefore;

The probability of friend A winning with HH = 1/4.


Hey, please help solve the question.​

Answers

Answer:

75%=x-125

90%=x+250

subtract the second from the first

15%=375

100%=?

100%×375/15

100%=2500marked price is 2500

2500+250=2750

90%=2750

100%=?

cost price=3055.56


someone please expain how to do this, i’m really confused.

Answers

Answer:

13

Step-by-step explanation:

Basically, we have to plug in 4 for r into g(r). Doing so gives us g(4) = 25 - 3 * 4 = 25 - 12 = 13.

Some more examples:

g(6) = 25 - 3 * 6 = 25 - 18 = 7

g(1) = 25 - 3 * 1 = 25 - 3 = 22

Answer:g(4)=13

Step-by-step explanation:

g(4)=25-3r

25-3(4)

25-12

g(4)=13

A baker has three banana muffin recipes. Recipe AAA uses 333 bananas to make 121212 muffins. Recipe BBB uses 555 bananas to make 242424 muffins. Recipe CCC uses 111111 bananas to make 484848 muffins. Order the recipes by number of bananas per muffin from least to greatest.

Answers

Answer:

The order from least to greatest is B, A, C

Step-by-step explanation:

Given

Recipe A = 3 bananas to 12 Muffins

Recipe B = 5 bananas to 24 Muffins

Recipe C = 11 bananas to 48 Muffins

Required

Order the recipe from least to greatest

To solve this, we have to divide the number of bananas by number of muffins; this will give the unit banana per muffin

Recipe A: 3 bananas to 12 Muffins

[tex]A = \frac{3}{12}[/tex]

[tex]A = 0.25[/tex]

Recipe B: 5 bananas to 24 Muffins

[tex]B = \frac{5}{24}[/tex]

[tex]B = 0.2083[/tex]

Recipe C: 11 bananas to 48 Muffins

[tex]C = \frac{11}{48}[/tex]

[tex]C = 0.229167[/tex]

By comparison;

Recipe B (0.2083) is the smallest; followed by Recipe C (0.229167) then Recipe A (0.25)

Hence; the order from least to greatest is B, A, C

Answer:

its BCA

Step-by-step explanation:

Pregunta N° 1: ¿Cuántas fracciones propias e irreductibles con denominador 24 existen? 1 punto A) 2 B) 4 C) 6 D) 8 E) 10 Pregunta N° 2: ¿Cuántas fracciones impropias e irreductibles con numerador 25 existen? 1 punto A) 19 B) 21 C) 25 D) 29 E) 33 Pregunta N° 3: La edad de Miguel es 4/5 de la edad de su novia. Si las edades de los dos suman 63 años, calcule la edad de la novia de Miguel. 1 punto A) 20 años B) 26 años C) 32 años D) 35 años E) 40 años Pregunta N° 4: Si son las 8 a. m., ¿qué fracción del día ha transcurrido? 1 punto A) 1 B) 2 C) 1/2 D) 1/3 E) 1/5

ayuden porfavor

Answers

Answer:

Pregunta 1: Opcion D. 8

Pregunta 2: Opción A. 19 (aunque lo correcto es decir que son 20)

Pregunta 3: 28 años (no está como opción)

Pregunta 4: Opción D. 1/3

Step-by-step explanation:

Las fracciones irreductibles son aquellas que después de dividirlas por un común divisor, una vez que no se pueden dividir más se dice que son irreducibles, por lo tanto no existe ningún número que sea divisor común del numerador y del denominador más que 1.

Fracciones irreductibles con común denominador 24.

Como máximo divisor tenemos el 24 y como mínimo el 1

entre 1/24 y 1 estarán nuestras fracciones o sea:

1/24 < x/24 < 1. Ahora convertimos el 1 en fracción de 24, lo que sería 24/24 para igualar el numerador en ambos lados de la ecuación, para poder determinar x

1/24 < x/24 < 24/24

Como vemos que x tiene que estar entre 1 y 24, las respuestas serán:

2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22 y 23

Eliminamos los números divisores de 24, aquellos pares, y nos focalizamos en los que no podriamos dividir por nada con 24, o sea los números primos

5, 7, 11, 13, 17, 19, 23. Como nos falta el 1, obtenemos un total de 8 fracciones: 1/24, 5/24, 7/24, 11/24, 13/24, 17/24, 19/24, 23/24

Mismo procedimiento para el 25:

1/25 es una de las fracciones irreductibles. Pensamos en los valores de x

1/25 < x/25 < 25/25

2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25

Los números divisibles por 25, son los multiplos de 5, asi que esas respuestas no irían. Las fracciones irreductibles son:

1/25, 2/25, 3/25, 4/25, 6/25, 7/25, 8/25, 9/25, 11/25, 12/25, 13/25, 14/25, 16/25, 17/25, 18/25, 19/25, 21/25, 22/25, 23/25 y 24/25 haciendo un total de

20. Por alguna razón está mal formulada la pregunta, son 20 pero no está como opción y como te piden fraccion impropia (numerador > denominador), contamos a partir de 26. FIjate que hasta el proximo entero que sería 50/25, también son 20 fracciones (irreductibles e impropias)

26/25, 27/25, 28/25, 29/25, 31/25, 32/25, 33/25, 34/25, 36/25, 37/25, 38/25, 39/25, 41/25, 42/25, 43/25, 44/25, 46/25, 47/25, 48/25, 49/25

Próxima pregunta:

Miguel tiene 4/5 de la edad de la novia, y ambas edades suman 63.

Plantiemos la siguiente ecuacion donde x es la edad de la novia

4/5x + x = 63

9/5x = 63

x = 63 . 5/9 (como 9/5 pasa al otro lado de la igualdad dividiendo, damos vuelta la fraccion multiplicandola)

x = 35

Si la novia tiene 35 años y la edad de Miguel es 4/5 de esa edad

4/5 .35 = (35 .4) /5 = 28

Es raro porque no está la respuesta como tal.

Próxima pregunta:

Al ser las 8 am, quiere decir que han pasado 8 horas de que empezó el día

y el día tiene 24 horas.

8 horas transcurridas / 24 horas totales = 1/3

Points C and D are on a number line (not shown).

The coordinate of point C is -16 and the coordi-
nate of point D is 14. Point E is a point on line

segment CD. If the distance from point E to point C
is 1
4
the distance from point E to point D, what is
the coordinate of point E?



Answers

Answer:

17

Step-by-step explanation:

Find the median of the following frequency distribution

Answers

Answer:

3

Step-by-step explanation:

First right out all the data in numerical order from left to right.

2, 2, 2, 3, 4, 5, 7

The median is the middle number in the set.  If there is an even amount of data points, find the average of the two middle numbers.  If there is an odd number of data points, like in this data set, just take the middle number as you median.

There are 7 data points in this set so the fourth number in the set written in numerical order would be your median.

When writing this set out in numerical order, repeated numbers must be repeated, we find that the fourth, or middle, number is 3.  Therefore, 3 is the median of this data set.

Envision a base-5 numbering system. Write the rules for the system, and give six 3-digit examples in base-5 with their equivalent decimal and binary values.

Answers

Answer:

See Explanation Section

Step-by-step explanation:

Given

A base 5 numbering system: Envision

Some of the rules are as follows:

For a base 5 system, the highest individual digit is 4: Meaning that the 1234, 343, 110 are valid digits while 1235, 78, 55 are invalid digitsThe place values of this system are in place of 5s: i.e. ......5°, 5¹, 5², 5³, 5⁴......

3 digit examples

1

Base 5: 100

Base 10: 25 (See calculation below)

[tex]1 * 5^2 + 0 * 5^1 + 0 * 5^0 = 1 * 25 + 0 + 0 = 25[/tex]

Base 2: 11001 (See calculation below)

[tex]25 / 2 = 12\ R\ 1[/tex]

[tex]12 / 2 = 6\ R\ 0[/tex]

[tex]6 / 2 = 3\ R\ 0[/tex]

[tex]3 / 2 = 1\ R\ 1[/tex]

[tex]1 / 2 = 0\ R\ 1[/tex]

Writing the remainder from bottom: 11001

Using the same steps as used in (1) above

2.

Base 5: 211

Base 10: 56

Base 2: 111000

3.

Base 5: 441

Base 10: 121

Base 2: 1111001

4.

Base 5: 230

Base 10: 65

Base 2: 1000001

5.

Base 5: 342

Base 10: 97

Base 2: 1100001

6.

Base 5: 141

Base 10: 46

Base 2: 101110

HELP ASAP WILL MARK BRAINLIEST!!!!!! Use the number line​ below, where ​RS=9y+2, ST = 4y+9 and RT = 115. a. What is the value of​ y? b. Find RS and ST. a. What is the value of​ y?

Answers

Answer: y = 7

Step-by-step explanation:

Sarah has $20 saved. She gets $10 per week for her allowance, and she saves her allowance for the next 3 weeks. At the end of the week, she gets $150 in birthday money. How much money will she have after the 3 weeks? Which of the following sets of equations represents this problem?

Answers

Answer:

$200

Step-by-step explanation:

We know that she already has $20. And we know that every week, for three weeks she gets $10.

20+3(10)+150=m

We add all of this up, and we find that at the end of 3 weeks Sarah has $200 saved.

ANSWER QUICKLY PLZZZZZZ ASAP ​

Answers

Answer:

number 4 on edge

Step-by-step explanation:

Answer:

a. 92 minutes b. 7:56am

Step-by-step explanation:

He should leave at 7:56 so he gets to the bus at 8:05,

he gets to Coventry at 9:37 with enough time to walk 12 minutes to get to work before 10am.

This is the question ​

Answers

For answers, please refer to the picture attached

Answer:

I can't give a full answer because I can't see the image whilst giving an answer but I'll try so....

Step-by-step explanation:

Angles in a straight line add to 180° so when you have one of two of them angles are them together and take away from 180°

Angles around a full point add to 360° so add angles together and take away from 360°

On A I think it is you have a 360° angle and have to work out 3 and you have one already done and the opposite angle is the same as that so you basically have two angles then you add them together then take from 360 then divide the answer by two and then that would be the angles for a and x

And for the last one you have been given two angles with a right angle and a right angle equals 90 so add them together and take from 180 to get the missing angle

Hope this helps :)

A sample proportion of 0.44 is found. To determine the margin of error for this statistic, a simulation of 100 trials is run, each with a sample size of 100 and a point estimate of 0.44. The minimum sample proportion from the simulation is 0.32, and the maximum sample proportion from the simulation is 0.50. What is the margin of error of the population proportion using an estimate of the standard deviation?

Answers

Answer:

±0.06

Step-by-step explanation:

To find the margin of error using the standard deviation method, use the equation [tex]2(\frac{maximum-minimum}{6})[/tex].

In this situation, it would look like this: [tex]2(\frac{0.50-0.32}{6})[/tex]. Using this equation, you can find the margin of error by using the standard deviation method.

[tex]2(\frac{0.50-0.32}{6})[/tex]

[tex]2(\frac{0.18}{6})[/tex]

[tex]2(0.03)[/tex]

[tex]0.06[/tex]

Hope this helps!

(I know this is right because its what I answered on the test, and got 100%)

The margin of error of the population proportion using an estimate of the standard deviation is 0.06

we have given that,

A sample proportion of 0.44 is found.

The minimum sample proportion from the simulation is 0.32

The maximum sample proportion from the simulation is 0.50

What is the formula for the margin of error using the standard deviation method?

The formula for the margin of error using standard deviation is,

[tex]2(\frac{max-min}{6} )[/tex]

Use the given value in the formula we get,

[tex]2(\frac{0.50-0.32}{6} )[/tex]

Using this equation, you can find the margin of error by using the standard deviation method.

[tex]2(\frac{0.50-0.32}{6} )\\\\=2(\frac{0.18}{6})\\\\ =2(0.03)\\\\=0.06[/tex]

Therefore we get,

The margin of error of the population proportion using an estimate of the standard deviation is 0.06

To learn more about the population proportion using an estimate of the standard deviation visit:

https://brainly.com/question/22985943

Select the correct answer. This set of ordered pairs defines a function. {(-49,7), (-56,8), (-63,9), (-70,10)} Which table represents the inverse of the function defined by the ordered pairs? A.

Answers

In the future, you should post all possible answer choices to have a complete post. However, there's enough information to get the answer.

The original set has points in the form (x,y)

The first point is (x,y) = (-49,7) making x = -49 and y = 7. When we find the inverse, we simply swap the x and y values. The inverse undoes the original function and vice versa. So if (-49, 7) is in the original function, then (7, -49) is in the inverse. The rest of the points follow the same pattern.

We end up with this answer

{ (7, -49), (8, -56), (9, -63), (10, -70) }

A cylindrical tank whose diameter is 1.4 metres and height 80 cm is initially empty. Water whose volume is 492.8 litres is poured into the tank. Determine the fraction of the tank filled with water. (4 mark

Answers

Answer:

The fraction filled with water is 7/40

Step-by-step explanation:

Okay.

Here we start by calculating the volume of the cylindrical tank.

Mathematically, that would be;

V = π * r^2 * h

From the question

r = 80 cm = 80/100 = 0.8 meters

h = 1.4 meters

π = 22/7

Plugging these values into the volume equation, we have;

V = 22/7 * 0.8 * 0.8 * 1.4 = 2.816 m^3

But mathematically;

1 m^3 = 1000 liters

So 2.816 m^3 = 2.816 * 1000 = 2816 liters

So the fraction filled with water will be;

492.8/2816 = 0.175 = 175/1000 = 7/40

What is the product 1/2 * 1/8

Answers

Answer:

1/16

Step-by-step explanation:

........ .. .............

Answer:

1/16.

Step-by-step explanation:

If the question says to find the product, it means to multiply these numbers.

1/2✖️1/8.

Because you cannot cancel out any numbers, you can just multiiply the numerator and the denominator, which gives 1/16.

Hope this helped!

Have a nice day:)

rewrite 1/5:1/2 as a unit rate

Answers

Hey there! I'm happy to help!

The unit rate is how much stuff there is per 1 unit. All ratios can be rewritten as fractions, this one could be 0.2/0.5. The word per means divide, and fractions are basically dividing. So, we want the denominator to be 1.

To get 0.5 to 1, we multiply by 2. So, we will multiply the fraction by 2/2.

0.2/0.5(2/2)=0.4/1

Therefore, the unit rate is 0.4/1 or 0.4:1 or 0.4 per 1.

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a metre rod on wedge is example of unstable equilibrium.why the function f(x)=-(x5+)(x+1) is shown. what is the range of the function 10.The sum of first 16 terms of the AP: 10, 6 ,2, ....is320320320320640640352352 what is negative 20 plus negative 15 Can Someone help ill rate brainliest!! Kyle stood on a bridge and threw a rock up and over the side. The height of the rocks in meters can be approximated by approximated by -5t^2+5t+24, where T is the time in seconds after car through it completely factor the expression WHY CAN'T ANYONE HELP ME PLEASE?A 40% solution of fertilizer is to be mixed with a 80% solution of fertilizer in order to get 80 gallons of a 70% solution. How many gallons of the 40% solution and 80% solution should be mixed? 40% solution =? gallons, 80% solution =? gallons I need help with an essay about How It Feels to Be Colored Me by Zora Neale Hurston. I need three paragraphs with 4-6 sentences. Essays are not my expertise. Any help will be greatly appreciated! Tax Services prepares tax returns for senior citizens. The standard in terms of (direct labor) time spent on each return is hours. The direct labor standard wage rate at the firm is per hour. Last month, direct labor hours were used to prepare tax returns. Total wages were . The pronghorn antelope resides in temperature grassland biomes of North America. Their primary predators in this region are wolves, coyotes, cougars, and bobcats. The reason pronghorn antelope are not found outside of North America is most likely that Group of answer choices Disney established the _______ Film Distribution Company in 1953 to control distribution of its films, an action that became crucial to Disney's efforts to take control over every aspect of the entertainment process, from production to consumption. The treasurer of Riley Coal Co. is asked to compute the cost of fixed income securities for her corporation. Even before making the calculations, she assumes the aftertax cost of debt is at least 3 percent less than that for preferred stock. Debt can be issued at a yield of 11.0 percent, and the corporate tax rate is 20 percent. Preferred stock will be priced at $60 and pay a dividend of $6.40. The flotation cost on the preferred stock is $6. a. Compute the aftertax cost of debt. (Do not round intermediate calculations. Input your answer as a percent rounded to 2 decimal places.) b. Compute the aftertax cost of preferred stock. (Do not round intermediate calculations. Input your answer as a percent rounded to 2 decimal places.) c. Based on the facts given above, is the treasurer correct? A hunter shot 7 ducks. The hunter's dog recovered 5/7 of the ducks. How many ducks were recover Martha estimated there were 86 marbles in a jar for a contest. The actual number of marbles in the jar was 108. What was the percent error of Martha's estimation? Which of the following descries a solution that contain a buffer? A. Sodium hydroxide, a base, is added to the solution, and the pH of the solution becomes higher. B. Citric acid is added to the solution, but the pH of the solution does not change. C. Acetic acid is added to the solution, and the pH of the solution becomes lower. D. Distilled water is added to the solution, and the pH of the solution does not change. Read the summary of the section of "The Beginnings of the Maasai, where the volcanic eruption and its results are described. As a result of a volcanic eruption, Enkai and the cattle were thrown into the sky. Enkai wanted to save his cattle. He grew a tree that bridged the sky and the earth. The cattle walked down the tree to Neiterkob. Neiterkob and the Maasai tribe took over caring for the cattle. Why does the summary need to be revised? The summary incorrectly restates the central idea. The summary includes too many minor details. The summary lacks transitions that connect ideas. The summary is missing important words and phrases. Yiadom is yyears now. What would behis age in the next tenyears. Literature: Short StoryRead this passage from "The Cask of Amontillado" by Edgar AllanPoe. Then, answer the following question(s)Which theme, or lesson about life, would the character's thoughts inthis passage best support?A. the importance of honesty in human relationsB. the indifference of nature to human sufferingc. the danger of a single passion taking over the mindD. the cowardly nature of those who forgive an enemyThe thousand injuries of Fortunato I had borne as I bestcould, but when he ventured upon insult I vowed revenge.You, who so well know the nature of my soul, will notsuppose, however, that I gave utterance to a threat. At lengthI would be avenged; this was a point definitely settled-butthe very definitiveness with which it was resolved precludedthe idea of risk. I must not only punish but punish withimpunity.* A wrong is unredressed when retribution overtakesits redresser. It is equally unredressed when the avenger failsto make himself felt as such to him who has done the wrongIt must be understood that neither by word nor deed had 1given Fortunato cause to doubt my good will. I continued, aswas my wont, to smile in his face, and he did not perceivethat my smile now was at the thought of his immolation.** It is important negotiators consider the shadow negotiation carefully before meeting with the other party so they:________a. understand where the boundaries of the current negotiations are and should be. b. are clear in their own minds about the scope of the negotiations. c. understand how they would ideally like to work with the other party.d. determine what ground the negotiation is going to cover and how the negotiators are going to work together. e. understand that all the above are important to the shadow negotiations. what are the next terms in the number pattern -11, -8, -5, -2, 1