Emily and her twin sister Erica were each given $500 for their birthday. Emily deposits her money in an account that pays 4.75% interest compounded annually. Erica deposits her money in a 5% simple annual interest account. After 10 years how much more money will Emily have in her account?
A $22.41
B $45.26
C $250.00
D $295.26

Emily And Her Twin Sister Erica Were Each Given $500 For Their Birthday. Emily Deposits Her Money In

Answers

Answer 1

Emily will have $45.26 more money in her account


Related Questions

A local little league has a total of 70 ​players, of whom 40​% are right​-handed. How many
right​-handed players are​ there? HELP

Answers

The number of right-handed players in the local little league given its percentage is 28

How many right-handed players are there?

Based on the given task content; the number of right-handed players there can be determined by solving the percentage of right-handed players.

Total number of players in the local little league = 70Percentage of right-handed players = 40%

Number of right-handed players = Percentage of right-handed players × Total number of players in the local little league

= 40% × 70

= 40/100 × 70

= 0.4 × 70

= 28

In conclusion, the total number of right-handed players is 28

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the daily info newspaper charges a fee of $650 plus $80 per week to run an ad. the peoples paper charges $145 per week. for how many weeks will the total cost at the peoples paper be less expensive

Answers

The total cost at the peoples paper be less expensive will represent by the inequality 650 + 80w <  145w.

What is inequality?

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

Given that the daily info newspaper charges a fee of $650 plus $80 per week to run an ad.

Assume that after w weeks the total cost at the peoples paper be less expensive.

To run ad. for w week, the cost will be 80w.

The total cost of material of newspaper is p(w) = 650 + 80w

The peoples paper charges $145 per week.

The peoples paper charges after w week will be f(w) = 145w.

According to the question:

p(w) < f(w)

650 + 80w < 145w

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Help!!! It doesn’t give the isosceles congruent angles??

Answers

Answer: y = 11 , x =3

Step-by-step explanation:

Since its an isosceles triangle , two angles or two side are equal.

So lets take 5y - 3 as one of the equal angles, so

5y-3+ 5y-3 + 76 = 180 (angles in a triangles should add up to 180)

10y - 6 + 76 = 180

10y = 180 - 70

10y =110

y = 110/10

y = 11

Now, since we found y we need to find x.

Lets us take 8x and 13x - 15 as the equal sides.

8x = 13x - 15

8x - 13x = -15

-5x = -15

x = -15 / -5

x = 3

so we found the values of x and y !

Answer:

x = 3y = 11

Step-by-step explanation:

You want the values of x and y, given an isosceles triangle with congruent sides JK=8x and KL=13x-15, angle K=76°, and angle J=(5y-3)°.

Congruent sides

  JK = KL

  8x = 13x -15

  15 = 5x . . . . . . add 15-8x

  3 = x . . . . . divide by 5

Sum of angles

The sum of the angles in the triangle is 180°.

  2(∠J) +∠K = 180°

  2(5y -3) +76 = 180 . . . . substitute known values, divide by °

  10y +70 = 180 . . . . . . simplify

  y +7 = 18 . . . . . . . . divide by 10

  y = 11 . . . . . . . . . subtract 7

The values of x and y are 3 and 11, respectively.

A barrel of U.S. oil is 42 gallons. How many liters is this? Round off to the nearest whole number. Note: 1 gallon = 4 quarts. Strategy: you must convert from gallons quarts liters. Use two conversion factors ( 1 gallon = 4 quarts )

Answers

Answer:

158 liters.

Step-by-step explanation:

G=gallons

L=Liters

Q=Quarts

42G * 4Q = 168Q

1Q = 3.785L

3.785L * 42G = 158L or another way is to go by the formula is by dividing the volume value by 1.057:

168Q divide by 1.057 = 158

The dosage of a certain medication is determined by a patient's body weight. This medication's dosage is 2.5 mg per kilogram of body weight. What would be the dose for a patient who weighs 72 pounds? (1 lb = 0.453 kg) (Doses are rounded to the nearest 25 mg.)

Show work please

Answers

Answer:

  75 mg

Step-by-step explanation:

You want the dose for a 72 pound person at the rate of 2.5 mg/kg.

Unit conversion

We multiply by conversion factors that cancel unwanted units, leaving the units we want.

At the end of the unit conversion, we need to determine if the calculated dose is closer to 75 mg or 100 mg. It is less than 87.5 mg, so is closer to 75 mg.

  [tex]\dfrac{2.5\text{ mg}}{\text{kg}}\times(72\text{ lb})\times\dfrac{0.453\text{ kg}}{\text{lb}}=2.5\times72\times0.453\text{ mg}\approx81.54\text{ mg}\\\\\approx\boxed{75\text{ mg}}[/tex]

__

Additional comment

We found the nearest 25 mg dose by dividing by 25 mg, and rounding the 3.26 dose result to 3 doses of 25 mg each.

Select the correct answer from each drop-down menu. Consider the equation below. − 2 ⁢ ( 5 ⁢ x + 8 ) = 14 + 6 ⁢ x The equation was solved using the following steps. Step 1: − 10 ⁢ x − 16 = 14 + 6 ⁢ x Step 2: − 16 ⁢ x − 16 = 14 Step 3: − 16 ⁢ x = 30 Step 4: x = 30 − 16 Step 5: x = − 15 8 Complete the statements below with the process used to achieve steps 1-4. Step 1: -2 to 5x and 8. Step 2: 6x. Step 3: 16. Step 4: -16.

Answers

Answer:

x = -1.875

Step-by-step explanation:

-2 (5x + 8) = 14 + 6x

-10x - 16 = 14 + 6x

-16x = 30

x = 30/-16

x = -1.875

Determine whether an equation in the form x = a , where a is a constant is sometimes, always, or never a function. Explain your reasoning.

Answers

An equation in the form x = a , where a is a constant can never be a function.

What is a function?

A function is defined as a relation between a set of inputs having one output each.

In simple words, a function is a relationship between inputs where each input is related to exactly one output.

Every function has a domain and codomain or range.

A function is generally denoted by f(x) where x is the input.

The general representation of a function is y = f(x).

According to the given question:

An equation is in the form x = a , where a is a constant.

This equation is a vertical line parallel to y axis. For a function a relation of y = f(x) is missing in the given equation since a is a constant.

Hence, x = a can never be a function.

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Compute the product of 0.123(overline) and 9, and write your result as a fraction in simplified form.

Answers

The product of 0.123(overline) and 9 is equal to 149/142.

To multiply 0.123(overline) and 9, we can first rewrite 0.123(overline) as a fraction. To do this, we can express 0.123(overline) as a fraction with a denominator of 1000, which represents the number of thousandths that 0.123(overline) represents:

0.123(overline) = 123/1000 = 123/10^3

To find the product of 123/1000 and 9, we can use the distributive property:

(123/1000) * 9 = 123 * 9 / 1000 = 1047 / 1000

To simplify this fraction, we can divide both the numerator and the denominator by their greatest common factor, which is 7:

1047 / 1000 = 149 / 142

Therefore, the product of 0.123(overline) and 9 is equal to 149/142.

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Use the scale to help you solve the equation and find the value of x. Enter the
value of x below.
x+ 6 = 12
X =

Answers

Answer:

x=6

Step-by-step explanation:

12-6=6 or 6+6=12

Using the order of operations, which operation in the
expression 3×2-2³ ÷ 4 should be completed first?

A) Multiply 3 and 2.
B) Divide 2^3 by 4
C) Cube 2.
D)
Subtract 2^3 from 2.

Answers

Answer:

C) Cube 2.

Step-by-step explanation:

Cubing 2 means to take 3 as an exponent of 2.

Parantheses

Exponents  ==> 2³

Multiplication  ==> 3*2

Division  ==> 2³ ÷ 4

Addition

Subtraction  ==> 2-2³

In PEMDAS, Exponents is the second highest priority in an equation, so it comes first in 3×2-2³ ÷ 4 as there is no parantheses.

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If you invest $4064 in an account that pays simple interest of 7% How much interest will you have earned after 6 years?

Answers

Answer:

You would have $6055.36 in 7 years.

Step-by-step explanation:

What’s greater, 9 or 9.1?

Answers

Answer:

9.1

Step-by-step explanation:

9.1 would be greater because it is basically 9 + 0.1.

9.1 is greater than nine

Part B
Complete the proof of the vertical angles theorem.
Given: Lines AB and CD intersect at point E.
Prove: Angle AED is congruent to angle BEC.
Enter the missing statements and reasons in the table.
BIVX¹ X₂ 14pt
Statement
ZAED and ZDEB are a linear pair.
A
m2DEB+m mZAED+ m2DEB=mZDEB + m2BEC
Reason
given
Linear pairs are supplementary.
definition of linear pair
Linear pairs are supplementary.
subtraction property of equality
definition of congruency
V

Answers

Therefore, we have proven the vertical angles theorem by using congruency properties.

The vertical angles theorem's meaning is what?

The intersection of two straight lines produces two sets of linear pairs with congruent angles, according to this theorem. Moreover, it indicates that the neighboring angles created by the junction of these two lines are supplementary, or 180 degrees.

Here,

THEOREM:

According to the Vertical Angles Theorem, two crossing lines' opposing (vertical) angles must be equivalent.

THE ISSUE:

Show that ∠1 ≅∠3 and ∠2 ≅ ∠4

PROOF:

(1) A straight line measures 180 degrees; m∠1 + m∠2 = 180°

(2)  m∠3 + m∠2 = 180°; the length of a straight line is 180.

(3) Since the sum of the two left-hand sides of the equation equals 180 degrees, the transitive principle of equality holds that   m∠1 + m∠2 = m∠3 + m∠2       

(4) m∠1 = m∠3       which demonstrates the equality's subtraction property ( m∠2 is subtracted from both sides).

Definition of congruent angles: (5) ∠1 ≅ ∠3 

Likewise, for ∠2 ≅∠4:

(1)   m∠3 + m∠2 = 180°  a straight line has a 180° length.

(2) m∠3 + m∠4 = 180°  a straight line has a 180° length.

(3) Since both of the equation's left-hand sides add up to 180 degrees, the expression   m∠3 + m∠2 = m∠3 + m∠4        / transitive property of equivalence.

(4)  m∠2 = m∠4    , demonstrating the equivalence of subtraction (m∠3 is subtracted from both sides).

// definition of congruent angle , ∠2 ≅ ∠4      

We have therefore established the theorem.

Therefore, we have proven the vertical angles theorem by using congruency properties.

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Rx: 325 mL of 30% NaCl Soln. Your Pharmacy stocks 22% and 40% NaCl Soln. How may mL of 22% NaCl Soln would you need to formulate the prescription? (Round to the nearest mL with no units!)

Answers

ues nulAnswer:t

Step-by-step explanation: you are noob


Determine how many ounces are in 15 liters. Show every step of your work
pls help

Answers

Answer:

15 liter = 507.210848 Fluid Ounces

because 1 liter = 33.8140565 so you do 33.8140565 x  15 = 507.210848

mark me brainliest

hope this helps you

Step-by-step explanation:

find the distance between the points (-9.3 , 6.7) and (-9.3, -5.5)

Answers

Answer:

0, -12

Step-by-step explanation:

A researcher performs six independent hypothesis tests each at the 5% significance level. Determine the probability of observing at most two Type Errors. (Round your final answer to the nearest hundredth of a percent, e.g., 12.63% Rounding counts

Answers

At the 5% significance level, a researcher conducts six separate hypothesis tests. the likelihood of finding two or fewer Type Errors.

What is the 5 step process in statistics?

Declare your null and alternate hypotheses in Step 1. Data collection is step two. Perform a statistical test in step three. In step four, you must choose whether to reject or not to reject your null hypothesis. Deliver your results in Step 5. Five steps make up the statistical process: design the study, assemble the data, Analyze the data, draw conclusions, and take action. In a planned experiment, the variables are under the researchers' control.

Utilizing sample data, hypothesis testing is a method used to determine whether a hypothesis is tenable. The test offers proof that, given the available data, the hypothesis is plausible. By measuring and reviewing a representative sample of the population under study, statistical analysts can evaluate a theory.Procedures for testing hypotheses Identifying the null hypothesis is the first step.

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which of the following best describes why you might want to add both l1 and l2 regularizers to an ordinary least squares linear regression model

Answers

L1 (Ridge Regression) regularization is better than L2( Lasso regression). A regularization term two general types of regularization L1 and L2 regularization is added to solve the overfitting problem.

Let's use a linear regression formula for this explanation, y = mx + c

This is the simplest formula, so if there is only one feature, this is the formula. But in the real world, we rarely deal with just one feature. Most of the time we have multiple functions.

y = m₁ x₁ + m₂x₂ + ----+ mₙxₙ

To create simpler (sparse) models when the dataset has a large number of features, here are some of the regularization techniques used to correct overfitting and feature selection. A regression model that uses the L1 regularization method is called a Lasso regression. Lasso regression (least absolute shrinkage and selection operator) is Add "absolute size".

∑(Yᵢ ) - ∑Xᵢβⱼ)² + λ ∑|βⱼ|

Models using L2 are called ridge regression Ridge Regression adds the "squared magnitude" of the coefficients as a penalty term to the loss function. where the highlighted part represents the L2 regularization factor and the cost function

∑(Yᵢ - ∑Xᵢβⱼ )² + λ ∑β²

The L1 regularization is more robust than the L2 regularization for fairly obvious reasons. Since we take the weights squared, the cost of outliers present in the data increases exponentially. L1 regularization takes the absolute value of the weights, so the cost increases only linearly. Both L1 and L2 can add cost penalties depending on the complexity of the model, so when calculating the cost using the loss function, an auxiliary component called the regularization term adds complexity to the model. Added for segmentation.

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A recent study of the lifetimes of cell phones found the average is 24.3 months. The standard deviation is 2.6 months. If a company provides its 33 employees with a cell phone, find the probability that the mean lifetime of these phones will be less than 23.8 months

Answers

An ordinary bend is a ringer molded bend that gives probabilities of irregular factors taken in a nonstop conveyance. The z score formula is used to standardize the random variables into a z score.

Using the z score formula and the z table, standardize the value of x and use it to denote the cellphone's lifetime in months.

For what reason is likelihood region under typical bend?

The area under the probability density function curve in a given range is the probability that a continuous random variable fall within a given range. Because the value of a random variable must be in the sample space, the total area under the curve for any pdf is always 1.

What is the absolute likelihood under the ordinary circulation bend?

A continuous probability distribution is the normal distribution. Probability is affected in multiple ways by this. 1 is the total area under the normal curve. A normal random variable X has a 0 chance of matching any given value.

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Full Question = A recent study of the lifetimes of cell phones found the average is 24.3 months. The standard deviation is 2.6 months. If a company provides its employees with a cell phone, find the probability that the mean lifetime of these phones will be less than 23.8 months. Assume cell phone life is a normally distributed variable.

I need help with this.

Answers

Answer:

  8/17

Step-by-step explanation:

You want the ratio of 32 mm to 6.8 cm, compared in mm.

Ratio

The ratio of interest is ...

  (32 mm)/(6.8 cm) = (32 mm)/(68 mm) = (4·8)/(4·17) . . . . . mm cancels

  = 8/17

The ratio of ball diameters is 8/17.

pls help it’s due today

Answers

The average rate of change between interval 5 to 11 is 4.5.

Define average rate of change.

It is the average amount by which the function changed per unit throughout that time period. It is calculated using the slope of the line linking the interval's ends on the graph of the function. The average rate at which one quantity changes in relation to another's change is referred to as the average rate of change function. A method that determines the amount of change in one item divided by the corresponding amount of change in another is known as an average rate of change function.

Given

Average rate of change

= Change in output/ Change in input

= 45 - 18/ 11 -5

= 27/6

4.5

The average rate of change between interval 5 to 11 is 4.5.

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Natalie drives from London to Sheffield.

Natalie leaves London at 9.15am.

Natalie drives for 2 hours before stopping for a break.

The break lasts for 20 minutes.

Natalie then takes another 85 minutes to reach Sheffield.

What time does Natalie arrive in Sheffield?

Answers

Answer:

Natalie arrives is Sheffield at 1:00 pm

Step-by-step explanation:

Find the standard form of the equation of the line through (8,-3) that is parallel to the line 3y=4x+8

Answers

The standard form of the equation of the line passing through (8,-3) that is parallel to the line 3y=4x+8 is 4x - 3y = 41

How to represent equation in standard form?

The equation of the line in standard form can be represented as follows:

Ax + By = C

where

A, B and C are constant

Therefore, the standard form of the equation of the line through (8,-3) that is parallel to the line 3y = 4x + 8 is a s follows;

Parallel lines have the same slope.

Hence,

3y = 4x + 8

y = 4  / 3 x + 8 / 3

The slope of the line is 4 / 3. Hence, the line passes through (8, -3). let's find the y-intercept.

y = 4 / 3 x + b

-3 = 4 / 3 (8) + b

b = -3 - 32 / 3

b =  -9 - 32/ 3

b = -41 / 3

Hence,

y = 4 / 3 x - 41 / 3

multiply through by 3

3y = 4x - 41

Therefore, the standard form is 4x - 3y = 41

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Here is an equation: 2x+4 y-31=123
1. Solve for x.
x=
2. Solve for y.
y=

Answers

X=77

y=77by 2

answer is complete

Please find what the rent per unit needs to be to have a Net Operating Income (NOI) of $100,000.
Assumptions
Please use the following assumptions below:
Rent per unit (per month)
Vacancy Rate (% of Potential Gross Income) 5%
Operating Expenses (% of Effective Gross Income) 30%
Number of Units 18
*Please fill out the blue area Rent per unit (per month)
Vacancy Rate (% of Potential Gross Income)
Operating Expenses (% of Effective Gross Income)
Number of Units

Answers

The rent per unit will be $8,354.22 to have a Net Operating Income (NOI) of $100,000.

What is the net operating income?

The net operating income (NOI) is the difference between the gross operating income and the operating expenses.

The net operating income excludes some fixed or period expenses.

                                                                                            Total

Rent per unit (per month) = $696.19 ($8,354.22/12)   $150,376

Vacancy Rate (5% of Potential Gross Income)                   7,519

Effective Gross Income                                                $142,857

Operating Expenses (30% of Effective Gross Income) 42,857

Net Operating Income (NOI)                                      $100,000

Number of Units 18

Working Backwards:

Gross operating income = net operating income + operating expenses

Operating expenses = 30% of effective gross income

Net operating income = 70% of effective gross income (100 - 30%)

= $100,000

Effective Gross Income (100%) = $142,857 ($100,000 ÷ 70%)

Vacancy rate = 5% of potential gross income

Effective Gross Income = 95% (100 - 5)

Potential gross income = $150,376 ($142,857 ÷ 95%)

Number of units = 18

Rent per unit = $8,354.22 ($150,376/18)

Rent per month = $696.19 ($8,354.22 ÷ 12)

Thus, a rent of $8,354.22 per unit can generate a Net operating income of $100,000.

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a quadrilateral has vertices (2,0), (0,-2), (-2,4) and (-4,2) which special quadrilateral is formed by connecting the midpoints of the sides a. kite
b. rectangle
c. trapezoid
b. rhombus

Answers

The quadrilateral that has vertices (2,0), (0,-2), (-2,4) and (-4,2) is option

b. rectangle

Why is it a rectangle?

To determine the special quadrilateral that is formed by connecting the midpoints of the sides of the quadrilateral with vertices (2,0), (0,-2), (-2,4) and (-4,2), we can find the midpoints of each side and then determine the shape formed by these points.

The midpoint of a line segment is the point that is exactly halfway between the two endpoints of the line segment. To find the midpoint of a line segment, we can take the average of the x-coordinates of the endpoints and the average of the y-coordinates of the endpoints.

We can find the midpoint of the side between (2,0) and (0,-2) by taking the average of the x-coordinates (2 and 0) and the average of the y-coordinates (0 and -2), which gives us the point (1,-1).

We can find the midpoint of the side between (0,-2) and (-2,4) by taking the average of the x-coordinates (0 and -2) and the average of the y-coordinates (-2 and 4), which gives us the point (-1,1).

We can find the midpoint of the side between (-2,4) and (-4,2) by taking the average of the x-coordinates (-2 and -4) and the average of the y-coordinates (4 and 2), which gives us the point (-3,3).

We can find the midpoint of the side between (-4,2) and (2,0) by taking the average of the x-coordinates (-4 and 2) and the average of the y-coordinates (2 and 0), which gives us the point (-1,1).

Therefore, the special quadrilateral formed by connecting the midpoints of the sides of the given quadrilateral is a rectangle.

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given a program with an instruction count of 105 instructions divided into classes as follows: a: 20%, b: 30%, c: 20%, d: 30%

Answers

The program can be broken down into four classes, each with a different percentage of instructions.

What is program?

Program in math is a set of instructions or steps that are used to solve a problem. It is a systematic approach to problem-solving, using algorithms and data structures to store and manipulate data. Program in math can be used to solve a variety of problems, from simple arithmetic operations to complex calculations such as solving equations or finding the optimal solution for a game. Program in math helps us to make decisions, find patterns, and solve problems in an efficient and organized way.

Class A consists of 20% of the instructions,

Class B consists of 30%,

Class C consists of 20%  

Class D consists of 30%.

This breakdown allows for a better understanding of the program, making it easier to analyze and determine what needs to be done to improve it.

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The program can be broken down into four classes, each with a different percentage of instructions.

What is program?

Program in math is a set of instructions or steps that are used to solve a problem. It is a systematic approach to problem-solving, using algorithms and data structures to store and manipulate data. Program in math can be used to solve a variety of problems, from simple arithmetic operations to complex calculations such as solving equations or finding the optimal solution for a game. Program in math helps us to make decisions, find patterns, and solve problems in an efficient and organized way.

Class A consists of 20% of the instructions,

Class B consists of 30%,

Class C consists of 20%  

Class D consists of 30%.

This breakdown allows for a better understanding of the program, making it easier to analyze and determine what needs to be done to improve it.

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Describe the graph of proportional relationship represented by the equation Y equals eight minus 5X

Answers

The description of the proportional relationship represented by the equation y = 8 - 5x is A. The graph is a line that goes through points (0, 8) and ( 4, -12 ).

How to describe the graph ?

The graph is given in the form of a linear equation which is y = mx + b. In this equation, b is the y - intercept, or the point the line crosses the y - axis when x is 0. This point on y = 8 - 5x, is 8.

If the line passes through the x axis at point 4, then the y - intercept would be :

= 8 - 5 ( 4)

= 8 - 20

= - 12

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Options for this question are:

The graph is a line that goes through points (0, 8) and ( 4, -12 ).The graph is a line that goes through points (0, 5) and (15, 2).The graph is a line that goes through points (0, 4) and (12 , 1).The graph is a line that goes through points (0, 5) and (1, 12 ).

Write the following number in scientific notation: 0.0003005

Answers

Answer: 3.005 times 10 to the power of -4

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10.

If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Which graph represents the solution set of the system of inequalities?

Answers

Answer:

Step-by-step explanation:

Other Questions
Which gas can turn blue litmus paper to red? A. Inert gasesB. OxygenC. Nitrogen D. Carbon DioxideAnd why??? If a = 6 and anan-1 + 3 then find the value of a4. match the function of dna on the left with the appropriate description on the right. i. expression a. stable maintenance and passage of information ii. variation b. duplication of genetic material iii. replication c. potential for alteration iv. storage d. production of a phenotype which of the choices below is correct? question 15 options: i Who is the speaker and who is the receiver? What are the benefits of having empathy? Overall question: What is the molality ofa 3.25 M aqueous solution of ethanol,C2H5OH?From previous steps, you know:Moles of ethanol = 3.25 molesMass of solvent = 828 gm = [?]mol CH5OHkg HOMolality (mol/kg)Enter Which is the most crucial reason you should not store fruit juices in a pewter pitcher? describe global and national initiatives on generic and brandname What are the main features of gender equality? PLEASE HELP! The following text is an excerpt from the essay "The Advantages of Having One Leg" by G.K. Chesterton. Read the text carefully. Then, in a well-developed essay, analyze the rhetorical strategies Chesteron uses to support his purpose.I grant that those who have serious wrongs have a real right to grumble, so long as they grumble about something else. It is a singular fact that if they are sane they almost always do grumble about something else. To talk quite reasonably about your own quite real wrongs is the quickest way to go off your head. But people with great troubles talk about little ones, and the man who complains of the crumpled rose leaf very often has his flesh full of the thorns. But if a man has commonly a very clear and happy daily life then I think we are justified in asking that he shall not make mountains out of molehills. I do not deny that molehills can sometimes be important. Small annoyances have this evil about them, that they can be more abrupt because they are more invisible; they cast no shadow before, they have no atmosphere.No one ever had a mystical premonition that he was going to tumble over a hassock. William III died by falling over a molehill; I do not suppose that with all his varied abilities he could have managed to fall over a mountain. But when all this is allowed for, I repeat that we may ask a happy man (not William III) to put up with pure inconveniences, and even make them part of his happiness. Of positive pain or positive poverty I do not here speak. I speak of those innumerable accidental limitations that are always falling across our pathbad weather, confinement to this or that house or room, failure of appointments or arrangements, waiting at railway stations, missing posts, finding unpunctuality when we want punctuality, or, what is worse, finding punctuality when we don't. It is of the poetic pleasures to be drawn from all these that I singI sing with confidence because I have recently been experimenting in the poetic pleasures which arise from having to sit in one chair with a sprained foot, with the only alternative course of standing on one leg like a storka stork is a poetic simile; therefore I eagerly adopted it.To appreciate anything we must always isolate it, even if the thing itself symbolise something other than isolation. If we wish to see what a house is it must be a house in some uninhabited landscape. If we wish to depict what a man really is we must depict a man alone in a desert or on a dark sea sand. So long as he is a single figure he means all that humanity means; so long as he is solitary he means human society; so long as he is solitary he means sociability and comradeship. Add another figure and the picture is less humannot more so. One is company, two is none. If you wish to symbolise human building draw one dark tower on the horizon; if you wish to symbolise light let there be no star in the sky. Indeed, all through that strangely lit season which we call our day there is but one star in the skya large, fierce star which we call the sun. One sun is splendid; six suns would be only vulgar. One Tower of Giotto is sublime; a row of Towers of Giotto would be only like a row of white posts. The poetry of art is in beholding the single tower; the poetry of nature in seeing the single tree; the poetry of love in following the single woman; the poetry of religion in worshipping the single star. And so, in the same pensive lucidity, I find the poetry of all human anatomy in standing on a single leg. To express complete and perfect leggishness the leg must stand in sublime isolation, like the tower in the wilderness. As Ibsen so finely says, the strongest leg is that which stands most alone.11. G. K. Chesterton, "The Advantages of Having One Leg," in Tremendous Trifles (New York: Dodd, Mead and Co., 1910), 51-54. Which of the following BEST explains the diversity of the population in the Middle Colonies?A The region was known for religious toleration among its leaders and settlers.B The Puritan faith dominated the region and attracted many new settlers.C The King and Parliament only allowed non-English immigrants to settle in the region.D The region's reliance on cash crops provided more opportunities for immigrants. assume that the marginal social benefit of the last unit of vaccination provided is greater than the marginal social cost. which of the following can be used to achieve efficiency in the market for vaccination? -3x-4y=-1, 3x-y=-4 solve by elimination This year, Ken paid $1,611 for season tickets to his favorite baseball team, which is 10% cheaper than last year. What was the price of season tickets last year? 2CrO4 + 2H3O -> Cr2O7 + 3H2O(yellow) (orange)Unknown solution added until the sample turns yellow which of these is he added solution?CH3COOHKNO3NH4NO3NaOH Every time my grandmother comes over, i am watching tv. Therefore watching tv makes my grandmother come over is an example of a red herring. How does the mass of the sodium metal and chlorine gas involved in the reaction, compare to the mass of the table salt produced?. Which of the following controls would an entity most likely use in safeguarding against the loss of trading securities?a) An independent trust company that has no direct contact with the employees who have record-keeping responsibilities has possession of the securities.b) The internal auditor verifies the trading securities in the entity's safe each year on the balance sheet date.c) The independent auditor traces all purchases and sales of trading securities through the subsidiary ledgers to the general ledger.d) A designated member of the board of directors controls the securities in a bank safe- deposit box. What is the purpose of this scene in Act 2 Scene 1? Which equation is the inverse of y x2?