Please help asap!!!!

Please Help Asap!!!!

Answers

Answer 1

Answer: I believe that the answer is -3x=4y

Step-by-step explanation: I hope this helps and I am sorry if I am wrong.


Related Questions

The length of each side is quadrupled. How many times larger is the new area when compared to the original?

2 times

8 times

4 times

16 times

Answers

16 times larger is the new area when compared to the original.

Given that, the length of each side of the square is quadrupled.

We need to find how many times larger is the new area when compared to the original.

What is the area of a square?

A square is a closed two-dimensional shape with four equal sides and four equal angles. The four sides of the square form the four angles at the vertices. The sum of the total length of the sides of a square is its perimeter, and the total space occupied by the shape is the area of the square. The formula to calculate the area of a square is .

Let the length of each side of the square be x.

Then the length of each side of the new square will be 4x.

Now, the area of the original square = x²

The area of the new square = (4x)² = 16x²

So, the new square = 16 × the original square

Therefore, 16 times larger is the new area when compared to the original.

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PLS HELPPPPPP MEEE!!


What is the slope of line m?

Answers

Answer:-1/2

Step-by-step explanation:rise 1 run back 2

Question 2 (Essay Worth 10 points)
(03.03)
How does the graph of f(x) = (x + 2)4 + 6 compare to the parent function g(x) = x4?

Answers

it compares because of the equation

Find the p-value for a left tailed hypothesis test with a test statistic of z = - 1.81. decide whetehr to reject

Answers

According to the given data The value of p is[tex]0.0351<0.1[/tex](alpha) so reject H₀

What does it mean to have a left-tailed hypothesis?

A left-tailed test is used when the alternative hypothesis claims that the true value of the parameter suggested by the null hypothesis is lower than the null hypothesis implies. If the sample being tested is within the one-sided critical zone, the alternative hypothesis will be accepted rather than the null hypothesis.

Financial analysts employ the one-tailed test to confirm an investment or portfolio hypothesis.

If our statistical analysis finds that the significance level is smaller than the set cut-off value, we reject the null hypothesis and accept the alternative hypothesis (for example, either 0.05 or 0.01).

z = -1.81alpha

= 0.1p [tex]( z < -1.81 )p ( z < -1.81 )[/tex]

= 0.0351 ( from z table )P &lt;

alpha, reject H₀

When the p-value is less than or equal to alpha, hypothesis H0 is rejected;

however,

if the p-value is greater than alpha, hypothesis H0 is not rejected.

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In the segment below, QV = 23. QT =8. TR = RS = SV.

Answers

Answer: RS=5

QS=18

TS=10

TV=15

Step-by-step explanation:

QV = 23. QT =8. TR = RS = SV.

QV=QT+TR+RS+SV

23=8+RS+RS+RS

23=8+3*RS

3*RS=15

RS=5 ==> TR=5 and SV=5

QS=QT+TR+RS

QS=8+5+5

QS=18

TS=TR+RS
TS=5+5

TS=10

TV=TS+SV

TV=10+5

TV=15

Answer:

RS=5

QS=18

TS=10

TV=15

Step-by-step explanation:

The whole thing is 23. A part of it (QT) is 8 parts of that line as a whole. And if you subtract 8 from 23, that’s what’s left over for the rest of the parts to split amongst themselves. And if you read the question carefully, you’ll realize those last three parts are equal to eachother. Take that information, and after doing 23-8, you should get 15. Take that number and divide by the number of parts left over of the whole line. (Three leftover parts) divide 15 by 3 and that’s the length of each of those parts. From there we just label those parts and add what goes together to get our answers.

For RS: the length of R to S we already know since we just did the math for that. It’s 5.

For QS: from Q to S we have a few parts, but since they should be labeled, this should be easy because it’s just adding! (8+5+5=18)

For TS: since both parts are worth 5, no complicated math needed, just add 5+5 to get the answer, 10!

For TV: we know all parts are worth 5, so again, easy adding and you get! 15!

7. Rob wants to purchase a $5,000 drum set. The music store offers him a 2-year installment agreement requiring $800 down and monthly payments of $202.50. Rob has
a poor credit rating.
a. What is his interest on this installment agreement?

Answers

The interest on this installment agreement that Rob pays is $660.00

What the loan?

In short, the loan is an amount that the bank or financial institution makes available to you for a certain period. Basically, every time you apply for credit, whether it's a loan or even a credit card, you're taking out a type of loan.

The amount borrowed to purchase the drum set is the cost price of $5000 minus the down payment of $800

amount borrowed=$5000-$800amount borrowed=$4,200total monthly payments= $202.50*24total monthly payments=$4,860.00 interest on this installment agreement=$4860-$4200 interest on this installment agreement=$660.00

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The diameter of a single strand of human hair varies depending on its color. The average diameter of a strand of
black hair is 2.4 x 10-3 inch. The average diameter of a strand of red hair is 0.001 inch. What is the difference, in
inches, in the diameters of a strand of black hair and a strand of red hair?
O
3.4 x 10-3

Answers

The diameters of a strand of black hair and a strand of red hair is found to be 1.4×10⁻³.

What is defined as the scientific notations?

Scientific notation is a method of expressing extremely large or extremely small numbers.

When a quantity between 1 & 10 is multiplied by a power of 10, it is composed in scientific notation. 650,000,000, for example, can be composed in scientific notation as 6.5× 10⁸. The scientific notation system relies on powers of ten. The coefficient is the first number, 1.23.

For the given question;

Diameter of the black hair is 2.4×10⁻³ inch.Diameter of the red hair is 0.001 inch.

Convert the decimal value 0.001 in scientific notations;

= 0.001 inch

= 1×10⁻³ inch

Now, calculate the difference;

Difference in diameter = Black hair diameter - Red hair diameter

Difference in diameter =  2.4×10⁻³ - 1×10⁻³

Difference in diameter = 1.4×10⁻³

Therefore, the value of the difference in the diameter of red and black hair is found as 1.4×10⁻³.

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Suppose that 24 inches of wire costs 72 cents. At the same rate, how much (in cents) will 49 inches of wire cost?

Answers

Answer:

147 cents

Step-by-step explanation:

If 24 inches of wire cost 72 cents then each inch cost 3 cents. 49*3=147

P/3 +9 = 11 what does P equal

Answers

Answer:

P=6

Because 6/3=2

And 2+9=11

Step-by-step explanation:

this is pain need help and to be explained

Answers

Answer:

Equation is 0.5 gal × (0.1) + x gal × (0.35) = (0.5 + x) × (0.15)

0.125 gallons of the 35% acid solution Eli should add.

Step-by-step explanation:

Given: Eli wants to combine 0.5 gallon of a 10% acid solution with some 35% acid solution to make a 15% acid solution.

To find: Equation can you use to determine how many gallons of the 35% acid solution Eli should add?

Solution:

Let x be the gallons of the 35% acid solution.

According to question,

For 0.5 gallon of a 10% acid solution = 0.5×0.1

For x gallon of a 35% acid solution = x×0.35

For (0.5+x) gallon of a 15% acid solution = 0.5 + x × 0.15

The equation form is

0.5 gal × (0.1) + x gal × (0.35) = (0.5+x) × (0.15)

Solving the above equation,

0.05 + 0.35x = 0.075 + 0.15x

0.2x = 0.025

x = 0.025/0.2

x= 0.125

Therefore, 0.125 gallons of the 35% acid solution Eli should add.

Therefore, 0.125 gallons of the 35% acid solution Eli should add.The equation is 0.5 gal × (0.1) + x gal × (0.35) = (0.5 + x) × (0.15)

I'm not sure how to do this and im super confused

Answers

Answer: The m<A = 55

Step-by-step explanation:

1. We know that m<A is likely congruent to m<B (know that m< means measure of angle) {Also noting congruent means same}

2. With that, we can tell that the given info is telling us that 124 is the total degree for m<D.

3. So, this tells us that 2x + x + 41.5 = 124 is the formula we will use.
       3a. 3x + 41.5 = 124 (Simplify)
               3b. 3x = 82.5 (Combine like Terms)
                         3c. x = 27.5 (Divide)

4. Now we know what x is, so finding m<A is easy, 2(27.5) equals to 55, meaning m<A is 55. For m<B, 27.5 + 41.5 equals to 69. To make sure 55 + 69 equals to 124

5. So:
m<A = 55
m<B = 69
m<D = 124

What is the area, in square meters, of the Polygon?

16,608 square cm

2760 Square meters

2091.6 square inches

12,480 square inches

Answers

Answer:The answer would be the second one since he question is saying square meters.

Step-by-step explanation:Please give brainliest if right.

Alabama has about 2.51 million acres of cropland. Florida has about 1.15 times as much cropland as Alabama. How much cropland does Florida have?

Florida has ___ million acres of cropland.

Answers

Answer: 2,8865 million acres of cropland in florida

Step-by-step explanation: To solve this problem we can multiply Alabama's cropland of 2.51 million acres by 1.15 giving: 2.51 million ×1.15=2.8865 million acres of cropland in Florida.

I Hope this helps :)

Answer: Florida has 2.8865 million acres of cropland.

Step-by-step explanation:

We can first do the multiplication, 2.51 x 1.15, and then add 1,255 + 2,510 + 25,100 then we get the answer: 2.8865

Hope this helps :)

solve for t

(pls help me im struggling)

Answers

Step-by-step explanation:

Solve for what?.......

Is the square root of two A rational number or an irrational number

Answers

Square root of Two is an irrational number. because we are unable to express it in the form a/b, where a and b are whole numbers and b is not zero.

What is an irrational number?

Any real number that cannot be written as the quotient of two integers—that is, as p/q, where p and q are both integers—is an irrational number. For instance, the square root of 2 cannot be represented by an integer or a fraction.

Is an irrational number a true number?

Because these numbers may be represented on a number line, they are real numbers rather than complex numbers.

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Is this how you solve this (finding the inverse)

Answers

There are a couple ways to go about this.

By definition of inverse function, if [tex]j^{-1}[/tex] exists, then

[tex]j\left(j^{-1}(x)\right) = x[/tex]

All this means is that if you provide some input [tex]x[/tex], plug it into [tex]j^{-1}(x)[/tex], then plug that into [tex]j(x)[/tex], you end up recovering the original input [tex]x[/tex] that you started with.

We can also do this in the opposite direction, so

[tex]j^{-1}(j(x)) = x[/tex]

So now if [tex]j(x)[/tex] is invertible, then

[tex]j(x) = -\dfrac23 x - 9 \implies j\left(j^{-1}(x)\right) = -\dfrac23 j^{-1}(x) - 9 = x[/tex]

Solve for [tex]j^{-1}[/tex].

[tex]-\dfrac23 j^{-1}(x) - 9 = x[/tex]

[tex]\dfrac23 j^{-1}(x) = -x - 9[/tex]

[tex]j^{-1}(x) = -\dfrac32 (x+9)[/tex]

[tex]\boxed{j^{-1}(x) = -\dfrac32 x - \dfrac{27}2}[/tex]

Another way to do it is by algebraically substituting [tex]x[/tex] within the definition of [tex]j(x)[/tex]

Starting with the given definition

[tex]j(x) = -\dfrac23 x - 9[/tex]

we replace [tex]x[/tex] with some new expression in a new variable [tex]y[/tex] that makes the right side reduce to just [tex]y[/tex]. To demonstrate, if we multiply [tex]-\frac23 x[/tex] by [tex]-\frac32[/tex], we end up with a coefficient of 1. So let [tex]x=-\frac32 y[/tex]. Then

[tex]j\left(-\dfrac32 y\right) = -\dfrac23 \left(-\dfrac32 y\right) - 9 = y - 9[/tex]

As you can see, this doesn't completely reduce to [tex]y[/tex], so we're not done. To adjust for this, we just add 9 to [tex]y[/tex], so our ultimate substitution is [tex]x=-\frac32(y+9)[/tex]. Then

[tex]j\left(-\dfrac32 (y+9)\right) = -\dfrac23 \left(-\dfrac32 (y+9)\right) - 9 = (y+9) - 9 = y[/tex]

Now applying [tex]j^{-1}[/tex] to both sides,

[tex]j^{-1}\left(j\left(-\dfrac32 (y+9)\right)\right) = j^{-1}(y)[/tex]

[tex]\implies \boxed{j^{-1}(y) = -\dfrac32 y - \dfrac{27}2}[/tex]

(we can freely swap out [tex]y[/tex] for [tex]x[/tex] at this point)

Yet another way, since the function here is quite simple, we can just think about the action of [tex]j[/tex] on a given number [tex]x[/tex] - multiply it by -2/3, and subtract 9.

[tex]x \mapsto -\dfrac23 x \mapsto -\dfrac23x - 9 = j(x)[/tex]

The inverse operation undoes this, so given some number [tex]j(x)[/tex], we recover [tex]x[/tex] by adding the additive inverse of -9, or 9, then multiplying the whole result by the multiplicative inverse of -2/3, or -3/2.

[tex]j(x) \mapsto j(x) + 9 \mapsto -\dfrac32(j(x) + 9) \mapsto -\dfrac32 j(x) - \dfrac{27}2 = x[/tex]

You seem to be using some version of this method. You made the mistake of thinking the "multiply by -3/2" step applies only to [tex]j(x)[/tex], and not [tex]j(x) + 9[/tex].

a rectangle has a perimeter of 40.0 cm. one side has a length of 14.0 cm. what is the length, in cm, of an adjacent side?

Answers

Based on the calculations, the length, in cm, of an adjacent side of this rectangle is equal to 6.0 centimeters.

Given the following data:

Perimeter of rectangle = 40.0 centimeters.

Length of rectangle = 14.0 centimeters.

How to calculate the perimeter of a rectangle?

Mathematically, the perimeter of a rectangle can be calculated by using this formula;

P = 2(L + W)

Where:

P represents the perimeter of a rectangle.L represents the length of a rectangle.W represents the width of a rectangle.

Note: The length of an adjacent side refers to the the width of this rectangle.

Substituting the parameters into the formula, we have;

40.0 = 2(14.0 + W)

40.0 = 28.0 + 2W

2W = 40.0 - 28.0

2W = 12.0

W = 12.0/2

Width, W = 6.0 centimeters.

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In Buffalo, New York, the temperature was -14°F in the morning. If the temperature dropped 7°F, what is the temperature now?

-7 degrees

-21 degrees

7 degrees

21 degrees

Answers

Answer:

-21 degrees

Step-by-step explanation:

-14 - 7 = 21

Mikaela purchased a paddleboard originally priced at $799. If all merchandise was on sale for 40% off and the state tax rate is 7.25%, what is the total amount that Mikaela spent on the paddleboard?

$537.33
$514.16
$342.77
$377.53

Answers

The total amount that Mikaela spent on the paddleboard is $514.16

What is the total amount that Mikaela spent on the paddleboard?

The given parameters are:

Original cost = $799

Discount = 40%

State tax = 7.25%

The total amount that Mikaela spent on the paddleboard is calculated as

Amount = Original cost * (1 - Discount) * (1 + State tax)

This gives

Amount = 799 * (1 - 40%) * (1 + 7.25%)

Evaluate

Amount = 514.16

Hence, the total amount that Mikaela spent on the paddleboard is $514.16

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Answer:

(B)  $514.16

Step-by-step explanation:

Correct on my quiz.

When working on homework, Jen spends 5 minutes reading for every 10 minutes spent on writing, Andy spends 2 minutes reading for every 5 minutes of writing, and Noor spends 10 minutes reading for every 15 minutes of writing.

Answers

When working on homework, Jen spends 5 minutes reading for every 10 minutes spent on writing, Andy spends 2 minutes reading for every 5 minutes of writing, and Noor spends 10 minutes reading for every 15 minutes of writing .

Many teachers and parents believe that homework helps students build study skills and review concepts learned in class. Others see homework as disruptive and unnecessary, leading to burnout and turning kids off to school. Decades of research show that the issue is more nuanced and complex than most people think: Homework is beneficial, but only to a degree. Students in high school gain the most, while younger kids benefit much less.

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Consider the functions f(x)=4^x and g(x)=x-3. The function y is defined as y=f(g(x)) state the equation for y.

Answers

Answer:

Step-by-step explanation:

To find y = f(g(x)) replace the x in f(x) by g(x):-

y = 4^(x - 3)

---> y = 4^x  * 4^-3

---> y = (4)^x / 64

missy rode her bicycle 16 miles in 1 1 4 hours. what was her average speed in miles per hour? miles per hour step by step

Answers

Missy rode her bicycle 16 miles in 1 1 4 hours. Her average speed in miles per hour is 12.8 mph

What is average speed?

Calculating average speed involves dividing the whole distance traveled by the total time it takes to cover that distance.

Speed is the rate of movement of anything at a specific time. Average speed refers to the average speed during the course of a journey. Typically, average speed refers to the speed of moving objects like cars, trains, and aircraft. It is frequently expressed in kilometers per hour (kph) or miles per hour (mph) (kph).

In many different disciplines, such as physics, astronomy, and transportation, average speed is employed.

As we know,

average speed is distance traveled divided by time taken

average speed = 16 miles × 5/4

average speed = 12.8 miles/hour

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Element X decays radioactively with a half life of 14 minutes. If there are 160 grams
of Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 11 grams?
loudy
y = a(.5)^t/h

Answers

[tex]\textit{Amount for Exponential Decay using Half-Life} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{current amount}\dotfill &11\\ P=\textit{initial amount}\dotfill &160\\ t=\textit{elapsed time}\\ h=\textit{half-life}\dotfill &14 \end{cases} \\\\\\ 11=160\left( \frac{1}{2} \right)^{\frac{t}{14}}\implies \cfrac{11}{160}=\left( \cfrac{1}{2} \right)^{\frac{t}{14}}\implies \log\left( \cfrac{11}{160} \right)=\log\left[ \left( \cfrac{1}{2} \right)^{\frac{t}{14}} \right][/tex]

[tex]\log\left( \cfrac{11}{160} \right)=\cfrac{t}{14}\log\left[ \left( \cfrac{1}{2} \right)\right]\implies \cfrac{\log\left( \frac{11}{160} \right)}{\log \left( \frac{1}{2} \right)}=\cfrac{t}{14} \\\\\\ 14\left( \cfrac{\log\left( \frac{11}{160} \right)}{\log \left( \frac{1}{2} \right)} \right)=t\implies {\LARGE \begin{array}{llll} \stackrel{mins}{54.1}\approx t \end{array}}[/tex]

21. thirty-one increased by fourteen
22. the difference of sixteen and nine 23. the sum of seven, four, and eighteen 24. three times forty
25. the quotient of eighty-one and three
26. four more than the product of seven and eight
27. the cost of three slices of pizza at $2 each
Copyright
28. the number of days in six weeks

Answers

Answer:

Hope this helps :)

21) 31 + 14

22) 16 - 9

23) 7 + 4 + 18

24) 3 × 40

25)

26) 81 ÷ 3 OR 81/3 (the fraction bar also means divide)

27) 3 × 2 = 6

28) 7 x 6 = 42 (7 days in a week times by 6 weeks equal 42 days)

A college plans to interview 8 students for possible offer of graduate assistantships. The college has three assistantships available. How many groups of three can the college select?.

Answers

The number of groups of three that the college can select is 56.

Total number of students = 8

Number of assistantships available = 3

Groups of three can be selected by the college means that out of the eight students three need to be selected at random and this can be done in ⁸[tex]C_{3}[/tex] ways.

In this case, we use combination and not permutation because the order of selection of the students does not matter.

Now, we know

ⁿ[tex]C_{r}[/tex] = ( n! )/( r! (n-r )!)

Here, n = 8 and r = 3

⁸[tex]C_{3}[/tex]  = ( 8! )/( 3! (8-3)! )

⁸[tex]C_{3}[/tex]  =  ( 8 × 7 × 6 × 5! )/ ( 3 × 2 × 1 × ( 5! ) )

⁸[tex]C_{3}[/tex]  = ( 8 × 7 × 6 )/ ( 3 × 2 )

⁸[tex]C_{3}[/tex]  = 56

The number of groups of three that the college can select is 56.

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In the segment below, QV = 23. QT = 8. TR = RS = SV.

Answers

Answer:


Step-by-step explanation:

If QT=8 and QV=23 then TV=15 because when you subtract 8 from 23 you get 15 and we have to get TR=RS=SV (3 points) so you divide 15/3 which is 5 so each is 5 which makes TS=10 RS=5 and QS=18

state the domain and range of the following function: {(-3,4),(0,6),(2,-2),(1,-3),(6,-7),(3,2)} domain: {-7,-3,-2,2,4,6} range: {-3,0,1,2,3,6} domain: {0,1,2,3,4,6} range: {-7,-3,-2} domain: {-3,0,1,2,3,6} range: {-7,-3,-2,2,4,6} domain: {-7,-3,-2} range: {0,1,2,3,4,6}

Answers

The domain and range of the given function are: domain: {-7,-3,-2,2,4,6} range: {-3,0,1,2,3,6}. (Option A).

What is domain and range?The terms Domain and Range describe the input values and the function's output values, respectively.In terms of coordinates, domain is the x-coordinate and range is the y-coordinate of a function.

Now,

In the given function {(-3,4),(0,6),(2,-2),(1,-3),(6,-7),(3,2)},

the x- coordinates are: {-3, 0, 2, 1, 6, 3} and the y-coordinates are: {4, 6, -2, -3, -7, 2}.

Thus, According to the definition of domain and range,

the domain is {-3, 0, 2, 1, 6, 3} and the range is {4, 6, -2, -3, -7, 2}.

Hence, Option A is correct, i.e., the domain and range of the given function are: domain: {-7,-3,-2,2,4,6} range: {-3,0,1,2,3,6}.

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How many digits are there in one period?

Answers

three digits hope this helped


The highest elevation in the world is 29,029 feet and the lowest is -35,994 feet. What is
the difference between the two?

Answers

Answer:

Question: Mt. Everest, the highest elevation in Asia, is 29,028 feet above sea level. The Dead Sea, the lowest elevation, is 1,312 feet below sea level.

An electrician charges $24 per hour and $36 for each hour of overtime. for a job, the electrician works 8 regular hours and overtime hours. he also charges $202 for materials. the total amount of the bill for the job is $538. how many overtime hours did the electrician work?

Answers

The number of overtime hours done by electrician, as found by unitary method, is 4.

What is unitary method?

A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.

Now,

Given:

Charge per hour = $24Charge per overtime hour = $36Number of regular hours = 8Charge of materials = $202Total amount of bill = $538

To find: Number of Overtime hours

FInding:

Let the number of overtime hours be 'x'.

By unitary method, Charge of 1 regular hour = $24

Charge of 8 regular hours = $24(8) = $192

Again, by unitary method, Charge of 1 overtime hour = $36

Charge of x overtime hours = $36(x)

Cost of Materials = $202

Now, total bill = sum of all the expenses

=> 538 = 192 + 36x + 202

=> 538 - 294 = 36x

=> 144 = 36x

=> 4 = x

Hence, the number of overtime hours as found by unitary method is 4.

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. If the lesser of two consecutive even integers is five more than half the greater,what are the two integers? what were Abraham accomplishments (Mesopotamian leader) How is Jane Eyre an example of Gothic literature? If an average body contains about 11 pints of blood, how many grams of glucose are present in the blood? Use your knowledge of angle relationships to solvefor x in the diagram. Leave your answer as an exactdecimal. Volatile chemicals are agents that are able to change easily from a ________ into a ________. helpppppppppppppppppppp................................... Read the excerpt from the poem "The Man with the H** by Edwin Markham. Bowed by the weight of centuries he leans Upon his h** and gazes on the ground, The emptiness of ages in his face, And on his back the burden of the world. Which theme do these lines best represent? what is the problem 10.5-9.67 what mass of ammonium thiocyanate must be used if it is to react completely with 6.7 g barium hydroxide octahydrate? Which of the following facts, if true, is enough information for you to prove that lines l and m are parallel? Write yes or no for each.m fecal microbiota transplantation in patients with blood disorders inhibits gut colonization with antibiotic-resistant bacteria: results of a prospective, single-center study How does processing of sensory information sent to the vertebrate brain in vision differ from that in hearing or olfaction? Thomas invests $120 in an account that pays 4 percent simple interest. how much money will thomas have at the end of 6 years? If the coupon interest rate is 4. 375% for the first six months and changes to a rate equal to the 10-year treasury bond rate plus 1. 3% thereafter, the bond is called a bond. write a prediction about whether each country will have a larger or smaller population in 2050 Lowell's use of the word"husheth" instead of"hushes" in Line 34 of hispoem, "The First Snowfall,"is an example ofA. personification - objects or ideasgiven human-like qualities.B. archaic language - language that isnot used anymore.C. a metaphor - something is somethingelse. in the northern colonies, employers often saw free labor as more desirable than slave labor because of the generally accepted belief in northern economies that slavery was immoral. finch construction company expects to build three new homes during a specific accounting period. the estimated direct materials and labor costs are as follows. expected costs home 1 home 2 home 3 direct labor $ 60,000 $ 93,000 $ 171,000 direct materials 102,000 131,000 189,000 assume finch needs to allocate two major overhead costs ($48,600 of employee fringe benefits and $29,540 of indirect materials costs) among the three jobs. In what way did the mayflower compact provide an important step in the growth of representative government in the english colonies?.