anthony goes to the library every 4th day, and giovani goes to the library every 6th day . when will they go on the same day? (from applepie's little brother)

Answers

Answer 1

Anthony and Giovani will both go to the library on the same day every 12th day.

What is ratio?

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

To find out when both Anthony and Giovani will go to the library on the same day, we need to find the smallest number that is divisible by both 4 and 6.

We can start by listing the multiples of 4 and 6 until we find a common multiple:

Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, ...

Multiples of 6: 6, 12, 18, 24, 30, 36, 42, ...

We see that 12 is the smallest common multiple of 4 and 6.

Therefore, Anthony and Giovani will both go to the library on the same day every 12th day.

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Related Questions

what three numbers can be multiplied to get 100000

Answers

Answer: 10*100*100

10 times 100 times 100 = 100,000

hope this helped =)

WHAT IS THE DOMAIN? PLEASE HELP

Answers

The domain of the given relation is:

D: {-3, -2, -1, 0, 1, 3}

What is the domain?

For any relation that maps elements from one set into elements of another set, the domain is just the set of the inputs, and usually the domain is the se of the values "x"

Here the domain is the listof numbers in the left,the domain is:

D: {-3, -2, -1, 0, 1, 3}

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The graphs below show the sales of touchless thermostats, y, for the first 8 months last year. Both graphs show the same information.
Touchless Thermostat
Touchless Thermostat
Sales ($)
80,000
60,000
40,000
20,000
0
Sales
2
4
6
Months since
Start of the Year
Graph A
8
Sales ($)
40,000
30,000
20,000
10,000
0
Sales
To emphasize the slow increase in sales, it would be best for Samantha to use
Samantha should use this graph for her presentation because the sales
2
4 6 8
Months since
Start of the Year
Graph B
Samantha is preparing a presentation and wants to emphasize that the sales increased slowly over the first 8 months last year.
Complete the following sentences.
for her presentation.
Y
on this graph.

Answers

To me, Benjamin should use graph A to show the decrease in temperature. It would be best for Benjamin to use this graph for his presentation because the temperature decrease in this graph

What is graph?

In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.

here, we have,

How to determine the appropriate graph?

The graphs that complete the question are added as an attachment

From the attached graph, we have the following highlights:

The data points on the y-axis of graph A are in an arithmetic sequence i.e. 30, 60, 90, 120....

The data points on the y-axis of graph B are not in an arithmetic sequence i.e. 60, 20, 40, 80....

The above means that graph B is a misleading graph

Hence, Benjamin should use graph A for his report

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A total of 3 ft falls over 3 days. On the first day, 1/6 of the total rain falls. On the second day, 7/12 of the total rain falls. How much rain falls each day in inches? Show your work. Please help.

Answers

Answer:

Day 1: 6 inches

Day 2: 21 inches

Day 3: 9 inches

Step-by-step explanation:

First, we need to convert the total rainfall from feet to inches. Since 1 foot is equal to 12 inches, 3 feet is equal to 36 inches.

On the first day, 1/6 of the total rainfall falls, so:

(1/6) * 36 = 6 inches

On the second day, 7/12 of the total rainfall falls, so:

(7/12) * 36 = 21 inches

To find the rainfall on the third day, we can subtract the rainfall on the first and second days from the total rainfall:

36 - 6 - 21 = 9 inches

Therefore, the amount of rainfall on each day, in inches, is:

Day 1: 6 inches

Day 2: 21 inches

Day 3: 9 inches

For the data in the following sample: 10, 6, 8, 6, 5 find the mean

Answers

Answer:

7

Step-by-step explanation:

To find the mean of a set of numbers, we add up all the numbers and divide the sum by the total number of numbers.

For the given sample, we have:

10 + 6 + 8 + 6 + 5 = 35

There are 5 numbers in the sample, so we divide the sum by 5:

35 / 5 = 7

Therefore, the mean of the sample is 7.

Maggie is making 30 sundaes with mint, chocolate, and vanilla ice cream.

1

3

of the sundaes are mint ice cream and

1

2

of the remaining sundaes are chocolate. The rest will be vanilla. How many sundaes will be vanilla? 1 unit = 10 sundaes help!!!!!!!!!!!!!!!!!!!!! Please
Its due BY TOMORROW!
There are how much total chocolate and vanilla sundaes.

Answers

Proportionately, the number of sundaes that will be vanilla is 10 sundaes.

What is proportion?

Proportion refers to the part or portion of a whole.

Proportions show the relative size (ratio) of a value compared to another.

The difference between proportion and ratio is that proportions are two ratios equated to each other.

The total number of sundaes Maggie is making = 30

The types of sundaes = mint, chocolate, and vanilla ice cream.

Proportions:

Mint ice cream = 1/3 = 10 sundaes (1/3 x 30)

The remaining sundaes = 2/3 (1 - 1/3)

= 20 (30 - 10) or (30 x 2/3)

Chocolate ice cream = 1/2 of 20 = 10 sundaes

Vanilla sundaes = 10 (30 - 10 - 10) or (1/2 of 20)

Thus, using the proportional or fractional relationships among the different sundaes, the number of vanilla sundaes that Maggie will make is 10.

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what is the probability that delay time is within one standard deviation of its mean value? (round your answer to four decimal places.)

Answers

The probability that a data point falls within one standard deviation of its mean value is 0.6827 or 68.27%.

The normal distribution is a continuous probability distribution that describes the distribution of a set of data around its mean. It is often represented by a bell-shaped curve, where the mean is located at the center and the standard deviation determines the width of the curve.

To find the probability that a data point falls within one standard deviation of the mean, we need to calculate the area under the normal distribution curve between the mean minus one standard deviation and the mean plus one standard deviation. This area represents the proportion of the data that falls within one standard deviation of the mean.

The probability of a data point falling within one standard deviation of the mean can be calculated using the following formula:

P(x - s < X < x + s) = 0.6827

Where P represents the probability, X represents the variable we are measuring, x represents the mean value, and s represents the standard deviation.

The value 0.6827 represents the proportion of the data that falls within one standard deviation of the mean in a normal distribution.

This means that if we have a data set with a mean value of 50 and a standard deviation of 5, then there is a 68.27% chance that a randomly chosen data point will fall between 45 and 55.

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According to the U.S. Mint, the number of quarters minted in 2018 was about 2 x 10°. The mass of a quarter is about 6 X 10-3 kg. Write the number of quarters and the mass of a quarter in standard form.

Answers

The number of quarters is 2 and mass of quarter is 0.006 Kg.

What is Scientific Notation?

With scientific notation, one can express extremely big or extremely small values. If a number between 1 and 10 is multiplied by a power of 10, the result is written in scientific notation.

Given:

The number of quarters minted in 2018 was about 2 x 10°

and, The mass of a quarter is about 6 X [tex]10^{-3[/tex] kg.

As, in standard form the decimal is place after one significant and the rest raised to 10 to the powers and if the number are in power then it can be written in form of decimal.

Here, number of quarters minted is already in standard form 2 x 10° or 2 x 1

and,  mass of a quarter can be written as

= 6 X [tex]10^{-3[/tex] k

= 6/ 10³

= 6/ 1000

= 0.006

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prove that for every positive rational number r satisfying the condition r2<2 one can always find a larger rational number r h (h>0 ) for which (r h)2<2 .

Answers

Answer: Suppose there exists a positive rational number r such that r^2 < 2. Then we have 2 - r^2 > 0. Let h = (2 - r^2)/4. Then h > 0 because r^2 < 2.

Consider the number rh = r + h. We have:

(rh)^2 = (r + h)^2 = r^2 + 2rh + h^2 = r^2 + 2(2 - r^2)/2 + (2 - r^2)/16

= r^2 + 2 + (2 - r^2)/16

< 2 + 2 + (2 - 2)/16 = 2.

Thus, for any positive rational number r such that r^2 < 2, there exists a larger positive rational number rh = r + h such that (rh)^2 < 2.

Step-by-step explanation:

GDP has many known biases that make it a poor absolute measure of the welfare of a society. Why might GDP still be a good measure of changes in welfare?
Select one:

a.
The underground economy bias is rapidly changing.
b.
The biases may be relatively constant over time.
c.
This question is silly; GDP can’t be used to measure change in welfare.
d.
The biases are mainly political and they can change with different election results.

Answers

As research have shown that GDP has many known biases that make it a poor absolute measure of the welfare of a society. A reason why GDP will still be a good measure of changes in welfare will likely be because biases may be relatively constant over time. The Option B is correct.

Why do GDP produce poor measure of welfare?

GDP is a poor indicator of a society's standard of living because it does not directly account for leisure, environmental quality, levels of health and education, activities conducted outside the market, changes in income inequality, increases in variety, increases in technology, and so on.

So, GDP does not directly measure the things that make life worthwhile, but it does measure our ability to obtain many of the inputs that make life worthwhile. GDP, however, is not a perfect measure of happiness. Some factors that contribute to a happy life are excluded from GDP.

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Required Information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Show that if n is an integer and m+ 5 is odd, then n is even using a proof of contraposition. Rank the options below. We can write n = 2k +1 for some integer k. As n + 5 Is two times an integer, it is even. Assume that n is odd. Thus, if n is odd, then 3 + 5 is even. Then, 13 + 5 = (2K+993 +5=863 +1242 +66+6 = 2(4x3 +672 + 3k + 3).

Answers

If n is an integer and m + 5 is odd, then n must be even.

To prove this statement using contraposition, we need to show that if n is odd, then m + 5 must be even. Assume that n is odd, which means we can write n = 2k + 1 for some integer k.

Then, we can rewrite m + 5 as (2k + 1) + 5 = 2k + 6 = 2(k + 3), which is even.

Therefore, we have shown that if n is odd, then m + 5 is even.

By contraposition, we can conclude that if m + 5 is odd, then n must be even. Overall, the proof uses the fact that odd + odd = even and even + odd = odd, along with the definition of even and odd integers.

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suppose the mean height in inches of all 9th grade students at one high school is estimated. the population standard deviation is 5 inches. the heights of 7y randomly selected students are 68, 63, 70, 69, 75, 63 and 72.x¯ = Margin of error at 90% confidence level = 90% confidence interval = [
,
]
[smaller value, larger value]

Answers

The 90% confidence interval is [64.21, 73.79].

To find the margin of error and confidence interval,

we can use the following formula:

Margin of error [tex]= z* (sigma / \sqrt{(n))[/tex]

where z* is the z-score corresponding to the desired confidence level, sigma is the population standard deviation, n is the sample size, and sqrt represents the square root.

Since we want a 90% confidence interval, the corresponding z-score can be found using a standard normal distribution table or calculator.

The z-score for a 90% confidence level is 1.645.

Plugging in the values we have:

Margin of error = 1.645 * (5 / sqrt(7))

≈ 4.05

So the margin of error is approximately 4.05 inches.

To find the confidence interval, we need to add and subtract the margin of error from the sample mean:

Lower bound = x¯ - margin of error

= (68+63+70+69+75+63+72) / 7 - 4.05

≈ 64.21

Upper bound = x¯ + margin of error

= (68+63+70+69+75+63+72) / 7 + 4.05

≈ 73.79

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Market Foods sells 24 cans of soda for $6.79, a 128-ounce bottle of detergent for $2.89, a 13.8-ounce can of peanuts for $2.59, and a cooked 1.75-pound chicken half for $2.65​

Answers

According to the information, the unit price of the products is: $0.28 for each can of soft drink, $0.022 for each ounce of detergent, $0.18 for each ounce of peanuts, $0.0033 for each gram of cooked chicken.

How to calculate the unit price of products?

To calculate the unit price of the products we must perform the following procedure:

We must divide the value of each product into the amount of product as shown below:

$6.79 / 24 cans = $0.022$2.89 / 128oz = $0.022$2.59 / 13.8oz = $0.18$2.65 / 793.7g (1.75 lbs) = $0.0033

Accordingly, the unit price of these products is the result of these divisions.

Note: This question is incomplete. Here is the complete information:

What is the unit price of the products?

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Yall please help fast Veronica went on three hikes. On each hike, she saw the following numbers of animals:
Hike Length of hike
(
km
)
(km)left parenthesis, start text, k, m, end text, right parenthesis Number of animals seen
Rivers Edge
3
33
8
88
Wooded Marsh
8
88
24
2424
Canyon Creek
15
1515
35
3535
Veronica tried to order the hikes from least to greatest by the number of animals seen per kilometer, but she made a mistake. Here's her work:

Choose 1 answer:
WILL GIVE ALL MY PONITS

Answers

Answer:

Veronica's attempt at ordering the hikes from least to greatest by the number of animals seen per kilometer is not correct.

To order the hikes by the number of animals seen per kilometer, we need to calculate the number of animals seen per kilometer for each hike. We can do this by dividing the number of animals seen by the length of the hike in kilometers.

Using this method, we can calculate the number of animals seen per kilometer for each hike as follows:

Rivers Edge: 8/3 = 2.67 animals/km

Wooded Marsh: 24/8 = 3 animals/km

Canyon Creek: 35/15 = 2.33 animals/km

Based on these calculations, the correct order of the hikes from least to greatest by the number of animals seen per kilometer is Rivers Edge, Canyon Creek, Wooded Marsh.

Veronica's mistake appears to be that she simply ordered the number of animals seen in each hike from least to greatest, rather than calculating the number of animals seen per kilometer.

Mr.Aba builds a circular patio with a diameter of 12 feet.He covers the patio with paving stones.The cost of the paving stones is $10.50 per square foot.To the nearest dollar,how much do the paving stones cost?

Answers

The total cost of the paving stones for building a circular patio with a diameter of 12 feet is C. $1,187.

How is the total cost determined?

The area of the circular patio using its diameter and pi (22/7) is determined with the formula below.

The unit cost per square foot is multiplied by the area to determine the total cost.

A = π (d/2)^2

The diameter of a circular patio = 12 feet

The area, A = π (d/2)^2

= 22/7(12/2)^2

= 113.14 ft²

The cost per square foot of paving stones = $10.50

The total cost = $1,187.97 ($10.50 x 113.14)

= $1,188

Thus, using the mathematical operation of multiplication, we can conclude that Mr. Aba's project will cost Option C.

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Solve the system of equations using subtraction. 3x−2y =−1
3x+ y =14 QUICK PLEASEE

Answers

The required values are,

x = 3

y = 5.

Linear Equation in two variables:

An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero

Now in the given question,

we have two equations,

3x - 2y = -1                                 ......(1)

3x + y = 14                                 .......(2)

subtract (2) from (1), we get

-3y = -15

divide both sides by -3, we get

y = 5

now put this value of y in (2),

3x + 5 = 14

subtarct both sides by 5, we get

3x = 9

divide both sides by 3, we get

x = 3

Hence, the required values are,

x = 3

y = 5

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When simplifying an expression like (x2yz4)5 , what should you do with the little 5 on the outside is the parentheses?

Question 3 options:

Distribute it to all variables by dividing their exponents


Distribute it to all variables by multiplying their exponents


Distribute it to all variables by adding their exponents


Distribute it to all variables by subtracting their exponents

Answers

Answer:

B

Step-by-step explanation:

Answer:

B: Distribute it to all variables by multiplying their exponents

Step-by-step explanation:

A phone sells for $230. It is now on sale for 30% off. How much money will April save if she
buys the phone on sale?
A
B
C
D
$69
$25
$49
$68

Answers

Answer:

I believe the answer would be A- $69. I just do 230-30% and I got the answer of 69.

I hope this helped!

Answer:

Option 1. A

Step-by-step explanation:

= (30/100)*230

= (30*230)/100

= 6900/100 = 69.

Thus, your answer is, A.

( There is nothing else I could explain to you! )

1/5 x 10 multiply fractions: parts of a group

Answers

1/5 x 10 = 50 if that’s what the question was… other than that I’m not sure of the question at hand.

Sonia takes a 45
-mile walk every day.
What part of her walk has she completed once she has walked 35
mile?

Answers

She has completed 3/4 of her walk, she has walked 3/5 miles.

We are given that Sonia takes 4/5 mile walk everyday.

What is a proportion?

A proportion is a fraction of a total amount, the relations between variables, could be direct or inverse proportional, can be built to find the desired measures in the problem.

Consider 4/5 represent the 100 percent.

Using the proportion we can find which part of her walk she completed once she has walked 3/5 miles.

Find out what percentage represent 3/5

Let x be the percentage that represent 3/5

Then convert to fraction number

4/500 = 3/5x

x = 75

Therefore, the value of x in percentage is 75 percent.

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The complete question is

Sonia takes a 4/5 mile walk every day. What part of her walk has she completed once she has walked 3/5 miles

What is the value of log4^16

Answers

Answer:

Step-by-step explanation:

Using properties of logs:

= 16 log 4

= 9.63

4-Omertopen
CLIOCOMANIA.COM
what is a solution to a system?
what does a solution look like?
Determine if (10, 2) is a solution to the system
(x-2y = 8
(x + 2y = 14

Answers

The solution of the given system of equation is (11, 3/2) and (10, 2) is not a solution of the equations,

What is an equation?

A mathematical statement connecting two expressions by equal sign is called an equation.

Given is a system of equations, x-2y = 8 and x + 2y = 14, we are to find the solution and determine if (10, 2) is a solution to the system,

x-2y = 8

x+2y = 14

Adding both the equations,

2x = 22

x = 11

Put x = 11 in any equation to find the value of y,

11 - 2y = 8

2y = 3

y = 3/2

Now, to determine whether (10, 2) is a solution to the system or not, put x = 10 and y = 2 and see if the value is satisfying the equation or not,

10 - 4 = 6

6≠8

Therefore, (10, 2) is not a solution of the equations,

Hence, the solution of the given system of equation is (11, 3/2) and (10, 2) is not a solution of the equations,

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The question is solved for :

Determine if (10, 2) is a solution to the system and what is a solution to a system?

x-2y = 8

x + 2y = 14

Nico, Aditi, Erick, Raj, and Sandra are solving the equation. Two-fifths (5 + x) = 8 Each student begins to solve the problem as shown. Nico Aditi Erick Two-fifths (5 + x) = 8. (Five-halves) two-fifths (5 + x) = 8 (five-halves) Two-fifths (5 + x) = 8. Five-halves (5) + five-halves x = (five-halves) 8 Two-fifths (5 + x) = 8. Two-fifths (5 + x) minus 5 = 8 minus 5 Raj Sandra Two-fifths (5 + x) = 8. (one-half) two-fifths (5 + x) = 8 (one-half) Two-fifths (5 + x) = 8. two-fifths (5) + two-fifths x = 8 Which students are correct in their approach to solving the problem? Select three options. Nico Aditi Erick Raj Sandra

Answers

The correct students in their approach to solving the problem are Aditi, Erick, and Raj. Nico and Sandra's approaches are incorrect.

The following are the correct approaches to solving the equation:

Aditi: two-fifths (5 + x) = eight. five-hundredths (5) + five-hundredths x = (five-halves) 8

Erick: two-fifths (5 + x) equals eight. two-fifths (5 + x) minus 5 equals eight minus five.

Raj: two-fifths (5 + x) = eight. two-fifths (5) + two-fifths x = eight.

As a result, Aditi, Erick, and Raj are the correct students in their approach to solving the problem. The approaches of Nico and Sandra are incorrect.

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find mGHJ in degrees inscribed angles

Answers

If the measure of the intercepted arc GHJ is 180°, the measure of the inscribed angle GHJ will be mGHJ = 360° - 180° = 180°.

What is angle?

Angel is a geometric figure that can be described as the amount of rotation between two straight line or planes and angles is measured in degree with the full circle being 360°.

The measure of an inscribed angle in a circle is always equal to the measure of its intercepted arc. The measure of the arc intercepted by a central angle is determined by the formula, mGHJ = 360° - mJKH. Therefore, the measure of an inscribed angle in a circle with intercepted arc GHJ is equal to mGHJ = 360° - mJKH. This means that the measure of an inscribed angle in a circle can vary depending on the measure of its intercepted arc. For example, if the measure of the intercepted arc GHJ is 180°, the measure of the inscribed angle GHJ will be mGHJ = 360° - 180° = 180°.

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Find the measure of an
exterior angle of a regular
polygon with 36 sides.
[?]°
Enter

Answers

Answer:

The measure of an exterior angle of a regular polygon with n sides is given by the formula:

360°/n

For a regular polygon with 36 sides, the measure of each exterior angle is:

360°/36 = 10°

Therefore, the measure of an exterior angle of a regular polygon with 36 sides is 10°.

Step-by-step explanation:

The sum of the series
1+7+3+10+5+13+7+16+..... to 30 terms is :

Answers

Answer:

please type your questions well

An amount of $100 is invested at 9% compounded semi-annually. What is the balance after 6 years?
O $150.00
O $169.58
O $112.00
O $189.90

Answers

The balance (future value) after 6 years of investing $100 at 9% compounded semi-annually is B. $169.58.

What is the future value?

The future value represents the present value or investment compounded at an interest rate for a period.

Compounding involves computing interest on accumulated interest, not only on the principal like simple interest.

The future value can be determined using an online finance calculator as follows:

N (# of periods) = 12 semi-annual periods (6 x 12)

I/Y (Interest per year) = 9%

PV (Present Value) = $100

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $169.58

Total Interest = $69.58

Thus, the investment is expected to be worth B. $169.58 in 6 years.

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There are 52 cards in a deck with 13 cards of each of the four suits. Marlin draws one card, put its back and draws another one. What is the probability that she draws a hearts card and then a 6? Enter your answer as a fraction or a decimal rounded to the nearest hundredth.​

Answers

Answer: 1/52

Step-by-step explanation:

There is a 13/52 chance of drawing a hearts card and then there is a 4/52 chance of drawing a 6

(13/52)(4/52)=1/52

There is a 1/52 chance of Marlin drawing a hearts card and then a 6

Which relationship represents an example of mutualism? A a lynx hunting a snowshoe hare B an owl and a snake feeding on rats C a tapeworm absorbing nutrition from the intestines of a host organism D an ant colony living on an acacia tree and not allowing vines to grow on the bark​

Answers

The scenerio that represents an example of mutualism would be an ant colony living on an acacia tree and not allowing vines to grow on the bark. That is option D.

What is mutualism?

Mutualism is defined as the feeding relationship where by the both organisms which are involved work together to benefit from each other.

A typical example of mutualism is the relationship that exists between the ant and the acacia tree.Here, the ant colony living on an acacia tree and not allowing vines to grow on the bark shows that both organisms benefits from each other.

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ASAV ANSWER PLAZ HELP

Answers

Answer:

man female women man women male female measurement measurement master mysteries milkman milkmaid monk non Mr Mrs nephew nice papa

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The GDP of country A may be higher than that of country B because the workers in country A work more hours per week than workers in country B. True or False Anyoneeeeee with a answer?5. What led to Jim Crow laws being implemented? given a set s of n distinct integers, we want to find the k smallest in sorted order. give an o(n k log k) time algorithm for doing this. Alex and Tory are married and filing jointly. Their taxable income is $150,000. Basedon the table below, how much do they owe in federal taxes?Note: For a married couple filing jointly, the standard deduction is $25,900. What delivers oxygenated blood to the body's cells? I really need help with this. What historical events, processes or developments contributed to the development of sugar plantations in the Americas? What had to happen FIRST before such plantations could spread throughout the Americas?What was the prevailing economic idea behind the plantation system? What sources of labor were utilized in the plantation system? Stacey was lugging her oversized suitcase to the car when she saw her parents putting bicycles on the bike rack. Her dad noticed her eyeing them suspiciously.There are some great bike trails near Aunt Lucys house, Dad explained, so do me a favor and get our helmets from the basement.Stacey turned around and trudged back inside, muttering, I thought this was going to be a relaxing visit, not an athletic challenge!We just want to take a few bike rides, so its not like were climbing mountains! Zack called from his room.Stacey didnt bother to reply. Zack didnt get it, and her parents didnt really either. The three of them were natural athletes who loved pushing themselves to the limit, and they couldnt understand why Stacey despised activities that involved working herself into a dripping sweat or waking up with aching muscles. As she carried the helmets to the car, Stacey felt like the family misfit.But the long ride to Aunt Lucys house was entertaining enough to brighten her mood. Mom found a golden oldies station on the radio, and the old songs reminded her mom and dad of things they had done as kids. To pass the time, they amused Stacey and Zack with their stories.After a while, it dawned on Stacey that many of Dads stories were about squabbles he had with Aunt Lucy, so she finally decided to ask him more about their relationship.Well, Dad said thoughtfully, Lucy and I werent cut from the same cloth. I loved practically every sport, and Lucy didnt have an athletic bone in her body. She wasnt a klutz or anything; she just didnt care about sports.So she was like me! Stacey exclaimed. She had always wondered why she and her aunt seemed to be on the same wavelength.Dad nodded and replied, Youve always reminded me of Lucy.When the family got to Aunt Lucys, the table was already set for dinner. She had figured they would all be hungry after their long trip. As everyone sat down, Aunt Lucy carried a steaming macaroni casserole to the table. One whiff was enough to cause everybodys stomachs to rumble.It looks fabulous, Lucy, Mom said appreciatively.And pasta is packed with long-burning carbohydrates, Zack added, so its the perfect way to fuel up for our bike ride tomorrow. Stacey rolled her eyes and looked over at Aunt Lucy, who was giving her a sympathetic smile.The next morning, Dad and Mom prepared breakfast while Zack eagerly filled their water bottles to the brim. Aunt Lucy was sitting in her living room contently reading a magazine when Stacey walked in and noticed the upright piano. It was made of old brown wood and was lined with a row of family photos along the top. The way the morning light shone off the keys made it appear as though the piano was beckoning Stacey to come play.Youre welcome to play, Aunt Lucy suggested.I really dont know how, Stacey pointed out.You can give it a try anyway, her aunt replied encouragingly. You wont bother me.Stacey sat down on the plush seat cushion and cautiously positioned her hands on the keys. A song shed heard the day before was running through her head, and she began to plunk it out one note at a time. She hit some clunkers at first, but after a few attempts, Stacey was playing a recognizable tune.Youve got an excellent ear for music, Aunt Lucy commented. Thats a tricky melody, and you figured it out quickly.It sounds so plain just one note at a time, Stacey observed.Aunt Lucy glided over to the piano and sat beside her on the bench. Play it again, and Ill add some chords to fill out the tune.Aunt Lucy played along, and the music they made together gave Stacey a powerful, unfamiliar feeling. It was a delicious mixture of wonder and pride, and she liked it.Thats a tricky melody, and you figured it out quickly.Do you think you could give me some piano lessons during our visit? Stacey pleaded.Id be delighted, Aunt Lucy answered with a smile, and we can start today after your bike ride.Stacey rushed into the kitchen with a new spring in her step. Lets hurry up and eat so we can take that bike ride!Mom, Dad, and Zack could only exchange puzzled glances and marvel at what had come over Stacey.How does the narrator of "Duet" develop a perspective about Stacey?by describing how she has an ear for music and develops into a fine piano player, by describing how she interacts with her different family members, by describing what she thinks about her family and their bike outings, or by describing how she acts during the trip to Aunt Lucy's house? a barrier to widespread use of automated code assignment is?a. poor quality of documentationb. good quality of documentation Patrick ran from his home to a shop 400m away at an average speed of 2 m per second he walked back to his home at an average speed of 1 m per second find the average speed for the whole journey if he did not stop at the shop the presence of abundant______ fibers in the walls of elastic arteries allows them to stretch and withstand the strong pulsations of blood as it is ejected from the heart. which part of the brain is necessary for the production of smooth and coordinated movements? Contrary to popular belief, fruit can be the star of many savory dishes. _____,grilled watermelon burgers are a must-try for a summer barbecue. What is becl2 polar or nonpolar ? A step-up transformer has 30 turns on its primary coil and 300 turns on its secondary coil. A 50V AC supply is connected to the input coil. What is the output potential difference? Which excerpt from The Odyssey demonstrate the importance of loyalty in Greek society?O "0 Father, all my life like your fameas a fighting man has echoed in my ears" "Suppose Athena's arm is over us, and Zeusher father's, must rack my brains for more?" But when he knew he heardOdysseus' voice nearby, he did his best to wag his tail Odysseus only shook his head, containingthoughts of bloody work, as he walked on Kyle got into his car and steadily accelerated to the speed limit. After driving at a constantrate of speed for a while, he slowed to a stop and parked in a store parking lot. Kyle spenta few minutes shopping, and then reentered his car to drive home. He accelerated to thespeed limit, continued at that speed for a while, and then slowed to a stop and parked inhis driveway. Which graph best represents the scenario described? and why. Harry has been charged with the federal crime of securities fraud which he committed while working as a stockbroker in New York City. His trial on federal criminal charges can be held:In New York state court.In the Federal District Court in New YorkIn U.S. Claims Court in Washington, D.C.All of the courts above can try Harry for a federal crime. what happen to united states v nixon ? +50 points i will give brainiest please do this like a 6th grader would be lazy about it but dont at the same timeEssay: Use what you have learned about asexual and sexual reproduction from this modeling activity to explain why asexual reproduction produces offspring that are identical to the originals, and sexual reproduction produces offspring that are unique from their originals. Be sure your essay is at least one paragraph long, but you are welcome to write more. Be specific in your response by referencing chromosomes and cell phases to support your explanation. You may look back at your summary questions to help you complete this essay. Please provide your answer in the space below. Continuous capillaries are the most common capillaries in the body.a. Trueb. False