PLEASE HELP!!!! I am stuck on this question and I need help for all three!!!

PLEASE HELP!!!! I Am Stuck On This Question And I Need Help For All Three!!!

Answers

Answer 1

Answer:

a. (0, -5)

b. (4, -5)

c. (-5, 0)

Step-by-step explanation:


Related Questions


Find the measure of the missing angle.

Find the measure of the missing angle.

Answers

The correct answer is 26 degrees.

Find an equation of a line through (2,-5), perpendicular to 3y=x-6. Write in function notation. ANSWER FAST PLS

Answers

Equation of perpendicular line

\(\\ \sf\dashrightarrow 3y=x-6\)

\(\\ \sf\dashrightarrow y=\dfrac{1}{3}x-2\)

Comparing with y=mx+b

m=1/3

Slope of perpendicular line=-3

Passing through (2,-5)

Equation of line in point slope form

\(\\ \sf\dashrightarrow y-y_1=m(x-x_1)\)

\(\\ \sf\dashrightarrow y+5=-3(x-2)\)

\(\\ \sf\dashrightarrow y+5=-x+6\)

\(\\ \sf\dashrightarrow x+y-1=0\)

Which data set could be represented by
the box plot shown below?
H
0 2 4 6 8
Choose 1 answer:
A
Creating box plots
B
C
D
10 12 14 16 18 20
3, 4, 8, 9, 9, 12, 12, 13, 13, 16, 18
3, 4, 7, 9, 9, 10, 12, 13, 13, 16, 18
3, 4, 8, 9, 9, 10, 12, 13, 13, 16, 18
2, 4, 7, 9, 9, 10, 12, 13, 13, 16, 18

Which data set could be represented bythe box plot shown below?H0 2 4 6 8Choose 1 answer:ACreating box

Answers

The given box plot represented by the data sets in option A and B.

From the given box plot, we have

Minimum value = 3

Maximum value = 18

First quartile (Q1) = 7

Third quartile (Q3) = 13

Median = 10

Option A:

3, 4, 8, 9, 9, 12, 12, 13, 13, 16, 18

Median = 12

First quartile (Q1) = 8

Third quartile (Q3) = 13

Option B:

3, 4, 7, 9, 9, 10, 12, 13, 13, 16, 18

Median = 10

First quartile (Q1) = 7

Third quartile (Q3) = 13

Option C:

3, 4, 8, 9, 9, 10, 12, 13, 13, 16, 18

Median = 10

First quartile (Q1) = 8

Third quartile (Q3) = 13

Option D:

2, 4, 7, 9, 9, 10, 12, 13, 13, 16, 18

Median = 10

First quartile (Q1) = 7

Third quartile (Q3) = 13

Therefore, the correct options are B and D.

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The location of the
circumcenter of TrIangle ABC is:
A. Point D
B. Point E
C. Point F

The location of thecircumcenter of TrIangle ABC is:A. Point DB. Point EC. Point F

Answers

Answer:

it'd be F

Step-by-step explanation:

just did it on my acellus

The location of the circumcenter of triangle ABC is at ''Point D.''

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

The triangle ABC is shown in figure.

Now,

We know that;

The circumcenter of the triangle is the point at which the distance between the vertices with the circumcenter is equal to each other.

In figure ABC;

⇒ AD = BD = CD

So, The circumcenter of triangle ABC is at point D.

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Pat earns $489 per week at her new job. Calculate her annual salary. (Do not enter $ or comma in your answer.)​

Answers

Answer:

25,428 this was a peice of pie

Step-by-step explanation:

what is twice the difference of x and y in an equation?

Answers

Answer:

2(x-y)

Step-by-step explanation:

x-y is the difference between x and y

then you multiply this term by 2

when two items are thrown from the same height how does it affect the two in different ways if so

Answers

The height from which any two objects is thrown affects their time of motion, the greater the height, the more time the objects spend in air and vice versa.

What is time of motion?

The time of motion of an object is the time taken for an object to travel from point of projection to the projection plane or it can be said as the time a projected object spent in air.

The time taken for an object dropped from a certain height is calculated as follows;

h = vt + ¹/₂gt²

where;

h is the height from the which the object is droppedv is the initial vertical velocity of the objectt is the time of motion of the objectg is acceleration due to gravity

when the object is dropped from rest, v = 0

h =  ¹/₂gt²

t = √(2h/g)

Thus, the height from which any two objects is thrown affects their time of motion, the greater the height, the more time the objects spend in air and vice versa.

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HELP ASAP!!!!!! LOOK AT THIS:
Alice, Raul, and Maria are baking cookies together. They need 3/4 cup of flour and 1/3 cup of butter to make a dozen cookies. They each brought the ingredients they had at home . Alice brought 2 cups of flour and 1/4 cup of butter, and Maria brought 1and1/4 cups of flour and 3/4 cup of butter. If the students have plenty of the other ingredients they need (sugar, salt, baking soda, etc.), how many whole batches of a dozen cookies can they make ?

Answers

,Alice, Raul, and Maria can make 1 whole batch of a dozen cookies together using the ingredients they brought.

To determine how many whole batches of a dozen cookies they can make, we need to compare the amount of flour and butter they have with the required amounts for each batch of cookies.

Let's calculate the total amount of flour and butter each student brought:

Alice:

Flour: 2 cups

Butter: 1/4 cup

Maria:

Flour: 1 1/4 cups

Butter: 3/4 cup

Now let's compare the amounts with the required ingredients for a batch of cookies:

Required amount per batch:

Flour: 3/4 cup

Butter: 1/3 cup

First, let's see how many batches of cookies Alice can make:

Flour: Alice has 2 cups, and each batch requires 3/4 cup. So she can make 2 cups / (3/4 cup) = 8/3 = 2 and 2/3 batches of cookies.

Butter: Alice has 1/4 cup, and each batch requires 1/3 cup. Since she doesn't have enough butter for a full batch, she can't make any batches of cookies with the butter she brought.

Next, let's see how many batches of cookies Maria can make:

Flour: Maria has 1 1/4 cups, and each batch requires 3/4 cup. So she canmake (5/4 cups) / (3/4 cup) = 5/3 = 1 and 2/3 batches of cookies.

Butter: Maria has 3/4 cup, and each batch requires 1/3 cup. So she can make (3/4 cup) / (1/3 cup) = 9/4 = 2 and 1/4 batches of cookies.

Now, to find the maximum number of whole batches they can make together, we take the minimum of the number of batches each student can make:

Alice: 2 and 2/3 batches

Maria: 1 and 2/3 batches

Raul: Not mentioned, so we assume he brought the required ingredients.

The minimum value is 1 and 2/3 batches, which means they can make 1 whole batch of a dozen cookies together.

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5. A study of a population of 1,200 frogs revealed that 12 out of every 180 frogs in the population
have spots on their back. Based on the results of this study, how many frogs in the population do
NOT have spots on their back?
A. 80 C. 1,280
B. 168 D. 1,120

Answers

Answer:

1,280

Step-by-step explanation:

prob(spots) = 12/180 = 1/15

so of the 1200 frogs, (1/15)(1200) should have spots, so ..

how many should not have frogs ?

or

prob(not spots) = 14/15

number who don't have spots = (14/15)(1200) = 1,280

I have a hard time with these questions. Make sure your answer is rounded to nearest hundredth. Explain. Thank you in advance

I have a hard time with these questions. Make sure your answer is rounded to nearest hundredth. Explain.

Answers

(a) The printer will print 3.5 pages per minute.

(b) It will plant 0.13 acres of seed per pound.

What is a unit rate?

A unit rate means a rate for one of something. We write this as a ratio with a denominator of one.

(a) If a color printer prints 14 pages in 4 minutes.

   So it will print = 14/4

                           = 3.5 pages per minute

(b) If it takes 23 pounds of seed to completely plant a 3 - acre field

  So it can plant = 3/23

                           = 0.13 acres per pound.

Hence,

(a) The printer will print 3.5 pages per minute.

(b) It will plant 0.13 acres of seed per pound.

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San Diego is one of the largest cities in the United States. In 2012, the population of San Diego was 1,309,000. By 2016, the population had grown to 1,375,000, and reached 1,386,000 in 2020.(a) What was the growth rate (k) from 2012 to 2016?(b) What was the growth rate (k) from 2016 to 2020?

Answers

The growth rate formula is :

\(k=(\frac{p_2}{p_1})^{\frac{1}{n}}-1\)

where k = growth rate

p2 = future population

p1 = previous population

n = time in years

a. Growth rate from 2012 to 2016

t = 4 years

p2 = 1,375,000

p1 = 1,309,000

The growth rate will be :

\(\begin{gathered} k=(\frac{1375000}{1309000})^{\frac{1}{4}}-1 \\ k=0.0124 \end{gathered}\)

Multiplied by 100 :

k = 1.24%

b. Growth rate from 2016 to 2020

t = 4 years

p2 = 1,386,000

p1 = 1,375,000

The growth rate will be :

\(\begin{gathered} k=(\frac{1386000}{1375000})^{\frac{1}{4}}-1 \\ k=0.0020 \end{gathered}\)

Multiplied by 100 :

k = 0.20%

Find the measure of angle B

Find the measure of angle B

Answers

Answer:

∠B= 84

Step-by-step explanation:

side AB is congruent to side AX

this means that the angle ∠A = 4x is the same angle as ∠Z

therefore ∠A = ∠Z = 4x

inside angle of a triangle = 180

∠A + ∠B + ∠Z = 180

4x + 7x + 4x = 180

15x = 180

x = 180/15

x = 12

now substitute x = 12 into angle B

∠B = 7x

∠B = 7 (12)

∠B = 84

Given 1 || m ||
|| n, find the value of x.
(x-6)⁰
60⁰
1
m
n

Given 1 || m |||| n, find the value of x.(x-6)601mn

Answers

The value of x in the lines is 126 degree

We are given that;

Three parallel line and one intersecting line

Angles= (x-6) and 60

Now,

By supplementary angles property

Angle 1 + Angle 2 = 180 degree

Substituting the values of angles

x-6 + 60 = 180

x + 54 = 180

x = 180-54

x = 126

Therefore by supplementary angles answer will be 126 degree.

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Select the correct answer. Simplify the following algebraic expression. √45x^5 A. 9x²√5x OB. 91³√5x² О с. 3x²√5x OD. 3r³√5x²

please help me and can you explain how you got your answer ​

Answers

The simplified form of the given algebraic expression is 3x²√5x. The correct option is с. 3x²√5x

Simplifying an algebraic expression

From the question, we are to simplify the given algebraic expression.

The given expression is

√45x^5

First, we will write the given expression properly

The expression written properly is

√45x⁵

Simplifying

√45 × √x⁵

√9×5 × √x⁴×x

√9 × √5 × √x⁴ × √x

3 × √5 × x² × √x

3 × x² × √5 × √x

3x² × √5×x

3x² × √5x

3x²√5x

Hence, the simplified expression is 3x²√5x

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Robert has some nickels and some dimes. He has a maximum of 29 coins worth no less than $2.20 combined. If Robert has 10 nickels, determine all possible values for the number of dimes that he could have. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.

Answers

Let's solve this problem step by step.

Robert has 10 nickels, which means he already has 10 coins. We need to find the possible values for the number of dimes he could have.

Let's assume Robert has x dimes.

The value of 10 nickels is 10 * $0.05 = $0.50.
The value of x dimes is x * $0.10 = $0.10x.

The total value of the coins is at least $2.20. So we can write the inequality:

$0.50 + $0.10x ≥ $2.20

Now let's solve this inequality for x:

$0.10x ≥ $2.20 - $0.50
$0.10x ≥ $1.70
x ≥ $1.70 / $0.10
x ≥ 17

Therefore, the possible values for the number of dimes Robert could have are 17 or greater.

So, the comma-separated list of possible values for the number of dimes is: 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29.

Note: We have considered the maximum limit of 29 coins mentioned in the problem, so any value of x greater than or equal to 17 and less than or equal to 29 would satisfy the given conditions.
Final answer:

Robert's dimes are anywhere between 17 and 19.

Explanation:

Nickels

are worth 5 cents, and

dimes

are worth 10 cents. Since Robert has 10 nickels, he already has 50 cents. To reach a minimum of $2.20, or 220 cents, Robert needs at least 170 more cents. Because each dime is worth 10 cents, he needs a minimum of 17 dimes. If he has a maximum of 29 coins in total, subtracting the 10 nickels means that he can have up to 19 dimes. So, Robert could have anywhere between 17 and 19 dimes.

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Tyler can swim 5 laps of the school pool in 3 minutes. Jose can swim 6 laps in 4 minutes. And Kevin can swim 4 laps in 2 minutes. If each person swims at a constant rate, who is the fastest swimmer?

help ;_;

Answers

Answer:

The fastest swimmer is kevin

Step-by-step explanation:

divide how many laps by the minute and the answer is how many laps they swim in 1 minute.

tyler swims 1.6 laps every minute

jose swims 1.5 laps every minute

kevin swims 2 laps every minute

Help me please????............

Help me please????............

Answers

Answer:

The answer is A Have some volunteers drink nothing at all

Step-by-step explanation:

A control group is a group of people who don't have the variable they are the base and what we compare everything to so we would see if their mouth was spicy after eating it and not drinking anything then we would know that if someone drinks milk and their mouth is not spicy then it worked but if we don't have the control group then how do we know that just not drinking milk wouldn't have worked

Explain the rule that governs the pronunciation of the word stick

Answers

Answer:

Es una triste noticia que se involucre a las lenguas en peleas políticas coyunturales, sobre todo cuando el debate deriva hacia una estrategia de crispación que exige el falseamiento de la realidad, las ofensas y las manipulaciones. Las lenguas maternas forman parte de la identidad, de la raíz más profunda de sus hablantes, y ofenderlas o someterlas a coyunturas crea heridas íntimas. Confieso que siento una inmediata antipatía ante cualquier persona, política o no, que desprecia la manera que tenemos los andaluces de pronunciar el español. Es la manera en la que yo aprendí a relacionarme con la vida.

Step-by-step explanation:

4x+5(7x-3)=9(x-5)
x=???

Answers

Answer:

i think its 3 im not sure

Step-by-step explanation:

Answer:

x = -1

Step-by-step explanation:

Given equation,

→ 4x + 5(7x - 3) = 9(x - 5)

Now the value of x will be,

→ 4x + 5(7x - 3) = 9(x - 5)

→ 4x + 35x - 15 = 9x - 45

→ 39x - 15 = 9x - 45

→ 39x - 9x = -45 + 15

→ 30x = -30

→ x = -30/30

→ [ x = -1 ]

Hence, the value of x is -1.

How many times can 25 going to 200?

Answers

8 times. I hope this helps

N
50°
AOMN~ ARPQ
Find 0.
M
Ө
0 = [?]°
<
P
70°
R

N50AOMN~ ARPQFind 0.M0 = [?]&lt;P70R

Answers

Answer:

60°

Step-by-step explanation:

In similar triangles, the corresponding angles are congruent.

          ∠O = R

          O = 70°

In ΔOMN,

      ∠O + ∠M + ∠N = 180     {Angle sum property of triangle}

       70 + 50 + Ф    = 180

               120 + Ф  = 180

Subtract 120 from both sides,

                        Ф  = 180 - 120

                         Ф = 60°  

The regular price of a camera is $195. A store offers a 45% off sale. What is the sale price of the camera?

$107.25
$87.75
$150.00
$110.15

Answers

Answer:

The Answer is A. $107.25

Step-by-step explanation:

The scale for this drawing is 3 in. = 8 ft. On the drawing, the length of the kitchen measures 7 in. What is the length of the actual Kitchen? Round your

answer to the nearest foot.

Answers

Answer:

19 feet

Step-by-step explanation:

First we must make the scale make sense, that is, it is in the same unit, therefore, we will pass 3 inches to feet, we know 1 foot is 12 inches, therefore:

3 inches * 1 foot / 12 inches = 0.25 feet

Which means that the real equivalence is 0.25: 8, now they are 7 inches, therefore:

7 inches * 1 foot / 12 inches = 0.583333

Now, we calculate the number of actual feet using the scale.

0.583333 * 8 / 0.25 = 18.66 feet

that is to say that the length of the current Kitchen is 19 feet if we round

which of the following decimal numbers are greater 2.1 or 2.0113

Answers

Answer:

2.1 is greater

Step-by-step explanation: 2.0113 cannot be rounded up since the last number is 3 if it was above 5 or greater it could have been rounded but would have only affected the second number.

2.1 is greater than 2.0113. If you were to round 2.0113 it would be 2. 2.1 is greater than 2.

(3×10 – 4)(2×1010) whats the scientific notion

Answers

The result of the multiplication in scientific notation is given by:

\(6 \times 10^{6}\)

What is scientific notation?

A number in scientific notation is given by:

\(a \times 10^b\)

With the base being \(a \in [1, 10)\).

When we multiply two numbers in scientific notation, we multiply the bases and add the exponents.

For this problem, the numbers are given by:

\(3 \times 10^{-4}, 2 \times 10^{10}\)

The result of the multiplication is given by:

\(3 \times 10^{-4} \times 2 \times 10^{10} = 6 \times 10^{-4 + 10} = 6 \times 10^{6}\)

The result of the multiplication in scientific notation is given by:

\(6 \times 10^{6}\)

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Cierta clase de microbio se duplica en cada minuto. Si se coloca un microbio en un recipiente de una capacidad determinada, este se llena a los 30 min. ¿En que tiempo se llenará el recipiente si se colocan 2 microbios?

Answers

Answer:

En este problema se trata de una función exponencial, donde la cantidad de microbios en el recipiente se duplica cada minuto.

Si x representa el número de minutos transcurridos y y la cantidad de microbios en el recipiente, entonces se puede expresar la función exponencial como:

y = a * (2)^x

Donde "a" es la cantidad inicial de microbios en el recipiente, en este caso a = 1.

Después de 30 minutos, la cantidad de microbios en el recipiente es:

2^30 = 1,073,741,824

Esto significa que si se coloca un solo microbio en el recipiente, se tardará 30 minutos en llenarlo.

Si se colocan 2 microbios en el recipiente, entonces la cantidad inicial de la función exponencial es a = 2, y se busca el valor de x tal que:

2 * (2)^x = 1,073,741,824

Dividiendo ambos lados por 2, se tiene:

(2)^x = 536,870,912

Tomando logaritmos base 2 en ambos lados, se tiene:

x = log2(536,870,912) = 29

Por lo tanto, si se colocan 2 microbios en el recipiente, se tardará 29 minutos en llenarlo.

Step-by-step explanation:

5. Suppose the statement "even numbers are divisible by 2" is true. What is the truth value of
the statement "even numbers are not divisible by 2" ?

Answers

The truth value of the statement is false

What is the truth value of the statement

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

ConverseContrapositiveInverse or Negation

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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use the slope intercept form to graph the equation y=-5/9x+2

use the slope intercept form to graph the equation y=-5/9x+2

Answers

The equation to graph is:

\(y=-\frac{5}{9}x+2\)

We start from y intercept, which is y.

So, we start from the point (0,2).

The slope of (-5/9) means we go 5 units in y direction [negative direction since negative five] and then 9 units in x direction >>> FROM (0,2)

So, the next point becomes:

(0 + 9, 2 - 5)

(9, -3)

Now, we have 2 points:

(0,2) and (9,-3) >>> with these 2 points we can connect and draw a straight line.

The graph of the equation is shown below:

use the slope intercept form to graph the equation y=-5/9x+2

me movement o
Which choice shows (3+9) + 13 correctly rewritten using the associative property and then
correctly simplified?
O 13+(3+9) = 13 + 12 = 25
13+(9+ 3) = 13 + 12 = 25
O 3+ (91+3) = 3 +94 = 97
O 3+ (9+13) = 3 +22= 25

Answers

(3+9) + 13 correctly rewritten using the associative property and then correctly simplified is 13+(9+3) = 13 + 12 = 25.

1. Start with the expression (3+9) + 13.

2. According to the associative property of addition, we can group the numbers in any order without changing the result.

3. Rearrange the expression by grouping the numbers differently: (9+3) + 13.

4. Now simplify the grouped numbers: 9+3 = 12.

5. The expression becomes 12 + 13.

6. Finally, simplify the addition: 12 + 13 = 25.

Therefore, the correct rewritten expression using the associative property and the simplified result is 13+(9+3) = 13 + 12 = 25.

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Plot the point whose spherical coordinates are given. Then find the rectangular coordinates of the point.
(a) (7, π/3, π/6)
(x, y, z) =
(b) (6, π/2, 3π/4)
(x, y, z) =

Answers

Answer:

A) (x, y, z) = ( 7/4 , \(\frac{7\sqrt{3} }{4} , \frac{7\sqrt{3} }{2}\)  )

B)  (x, y, z) = ( 6 , \(\frac{\pi }{2}, \frac{3\pi }{4}\) )

Step-by-step explanation:

A) ( 7, π/3, π/6)

(x, y, z) = ( 7/4 , \(\frac{7\sqrt{3} }{4} , \frac{7\sqrt{3} }{2}\)  )

B) (6, π/2, 3π/4)

(x, y, z) = ( 6 , \(\frac{\pi }{2}, \frac{3\pi }{4}\) )

attached below is the plot of the points and the detailed solution

Plot the point whose spherical coordinates are given. Then find the rectangular coordinates of the point.(a)
Plot the point whose spherical coordinates are given. Then find the rectangular coordinates of the point.(a)
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If x^y = z is there any way to find y if you know x and z? 3. Given the series: 1+2+3+4+5+6+. + 5000Write down the series in sigma notation if all the powers of 4 are removedfrom the series. Friends Ramona and Heather go to different schools. Ramona has math class during first period on each of the 180 days she goes to school. She will be in math class a total of 8640 minutes this year. Heathers school year also has 180 days, but her math class only meets every other day, so her class periods are longer. (One day shell have math class, and then the next day she wont.) If Ramona and Heather end up with the same number of minutes of math class each year, how long are the class periods at Heathers school?it asks to show work Keyah is walking a 5-kilometer race to raise money for a cause. She has walked 2,400 meters. How many more kilometers does she have left to walk if the auditor added up the contents of the payments, and divided by the number of employees, to get the mean salary, what kind of activity has taken place? A Euler circuit has ___ ODD vertices which aspect of ibn battutas strict muslims beliefs set him at odds with the people he encountered in mali compare and contrast the types of companies that stand to benefit the most from a social media strategy, and those that might want to limit their exposure the strecker synthesis shown below can be used to synthesize a-amino acids. which of the following aldehydes should be used to synthesize alanine? A fee of $5.00 each month is charged for a checking account.The account has $45.00. If no money is deposited orwithdrawn except the fee, how many months until the accountbalance is negative? which is less dense? dry or wet air?Part A Which is less dense: dry or wet air? Select the correct answer. O Wet air is less dense because the oxygen and nitrogen molecules are replaced by water molecules, which have a less molar mass. In this polygon, which angle is an exterior angle? What are the names of the two treatments that are nearing FDA approval (not quite approved just yet but are under priority review) for Zaire Ebola? **include source** porque las palabras arbol y razon llevan tilde en diferente silaba explica 1. Perform calculations to determine the amount of 6.00x10-5 M stock solution needed to prepare 20.00 mL of 2.00x10-5 M dye solution. Perform calculations to determine the amount of 2.00x10-5 M stock solution needed to prepare 20.00 mL of 1.00x10-5 M dye solution. Perform calculations to determine the amount of 1.00x10-5 M stock solution needed to prepare 20.00 mL of 2.00x10-6 M dye solution. Show your calculations in your notebook. 2. Obtain approximately 10 mL of 6.00x10-5 M stock dye solution in a 50 mL beaker. The markings on the beaker are approximate measurements. 3. Prepare your 2.00x10-5 M solution using the 6.00x10-5 M stock dye solution. Measure the stock dye using a 25 mL graduated cylinder (feel free to use a glass pasteur pipette to measure the exact quantity you need). Add deionized water to the 20.00 mL mark on the graduated cylinder. Transfer the solution to a clean 50 mL beaker. 4. Using serial dilutions, prepare 20.00 mL of 1.00x10-5 M and 2.00x10-6 M solutions. Transfer the solutions to separate 50 mL beakers and arrange them on a labeled piece of paper. Computers in some vehicles calculate various quantities related to performance. One of these is the fuel efficiency, or gas mileage, usually expressed as miles per gallon (mpg). For one vehicle equipped in this way, the car was set to 60 miles per hour by cruise control, and the mpg were recorded at random times. Here are the mpg values from the experiment:37.221.017.424.927.036.938.835.332.323.919.026.125.841.434.432.525.326.528.222.1Suppose that the standard deviation of the population of mpg readings of this vehicle is known to be =6.5mpga) What is x, the standard deviation of x (x Bar)?b) Based on a 95% confidence level, what is the margin of error for the mean estimate?c) Given the margin of error computed in part (b), give a 95% confidence interval for , the mean highway mpg for this vehicle. The vehicle sticker information for the vehicle states a highway average of 27 mpg. Are the results of this experiment consistent with the vehicle sticker? What fractions are smaller than 1/9 Hellllllllllpppppppp Hoppy Corporation acquires Stevens Company, paying the owners of Stevens 1,000,000 new shares with a par value of $0.50 per share and a fair value of $60 per share at the date of acquisition. Poppy also incurs cash registration fees of $50,000 and consulting fees of $500,000. Several of Stevens' former owners will stay on as employees, and Poppy agrees to pay them an additional amount if they remain with the company. The present value of this agreement at the date of acquisition is $300,000. What is Poppys reported acquisition cost? Select one: a. $60.500,000 b. 560,300,000 c. 560,800,000 d. $60,000,000 five prepositions in a sentence examples