Which relationships describe the angle pair x° and 157º? Select each correct answer. Complementary angles vertical angles supplementary angles adjacent angles Two lines intersecting in a V shape with the left angle of one hundred fifty seven degrees and a bottom angle of X degrees

Answers

Answer 1

Angles x° and 157° are neighboring because they share a shared vertex and side, preventing them from overlapping,  the sum of any two angles on a straight line equals 180°.

what is angle ?

Two lines converge at a common point to form an angle. They are expressed by the sign ° and are measured in degrees. Acute, right, obtuse, and reflex angles are four crucial types. There are 360° in a circle. Two rays (half-lines) combined into an angle have a single terminal. The latter is known as the vertex of the angle, while the rays are known as its sides, occasionally as its legs, and occasionally as its arms. The vertex of an angle is the point at which all points meet .

given

If two angles' sums are same, they are said to be supplementary.

If two angles' sums are same, they are said to be complimentary.

Each set of opposite angles generated by crossing lines are referred to as vertical angles. The term "adjacent angles" refers to two angles that share a common vertex and side but do not overlap.

Angles x° and 157° are neighboring because they share a shared vertex and side, preventing them from overlapping, and they are supplementary angles because the sum of any two angles on a straight line equals 180°.

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Related Questions

Find the length and width of the actual room, shown in the scale drawing. Then find the area of the actual room. Round the final answer, if necessary, to the nearest tenth.

Answers

The actual dimensions are 9.75 feet and 7.5 feet. The area will be 73.125 square feet.

What is the scale factor?

The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).  The scale factor is defined as the proportion of the new image's size to that of the previous image.

Here the scale factor for the given image is 2 inch = 3 ft.

The measure of the actual dimensions will be calculated as,

2 in = 3 ft

1 in = 3/2 ft

6.5 in = 6.5 x 3 / 2 = 9.75 ft

5 in = 5 x 3 / 2 = 7.5 ft

The actual area will be calculated as,

Area = 9.75 x 7.5

Area = 73.125 square feet

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If you flip a coin ten times, how many different sequences of heads and tails are possible? a. b. c. d.

Answers

The number of possible different sequences of heads and tails is 1024.

A list of numbers (or other components) that follow a specific pattern is called a sequence. An arithmetic progression is one of the common examples of sequence and series.

A sequence can be arranged in either ascending or descending order.

Each flip has two outcomes H or T, so in ten flips you can get a sequence like HTHHTHTTTH

The number of possible different sequences is simply 2*2*2*2*2*2*2*2*2*2 = 2^10 = 1024

Thus, The number of possible different sequences of heads and tails is 1024.

Complete question:

If you flip a coin ten times, how many different sequences of heads and tails are possible?

a. 2° = 512

b. 10 = 100

C. 102 = 1024

d. 210 = 1024

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Lena decides to make 1 batch of mac-and-cheese
and 3 pizzas. How many tablespoons of basil does
she need?

Answers

On solving the provided question, we can say that - equation  at factors  x= -3 that value of a is = 33

What is factor?

A number that divides another number by itself with no residual is known as a factor. In other words, if multiplying two whole numbers results in the creation of a product, the numbers we are multiplying are factors of the product since the product is divisible by them. Division and multiplication are the two ways to discover factors. A number or other mathematical object is factorized or factored in mathematics by expressing it as the product of numerous factors, often smaller or simpler things of the same sort. One factorization of the polynomial x2 - 4 is 3 5, which is also a factorization of the number 15.

4x^2 + 5x - 8

x = -3

36 + 15 -8

33

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What is the slope of the line that passes through the points (1, 6) and (13, 2)? Write your answer in simplest form.

Answers

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{13}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{2}-\stackrel{y1}{6}}}{\underset{\textit{\large run}} {\underset{x_2}{13}-\underset{x_1}{1}}} \implies \cfrac{ -4 }{ 12 } \implies {\Large \begin{array}{llll} - \cfrac{1 }{ 3 } \end{array}}[/tex]

how do I find the slope of these points
(8,-4) and (2,-4)

Answers

[tex](\stackrel{x_1}{8}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{-4}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-4}-\stackrel{y1}{(-4)}}}{\underset{\textit{\large run}} {\underset{x_2}{2}-\underset{x_1}{8}}} \implies \cfrac{-4 +4}{-6} \implies \cfrac{ 0 }{ -6 } \implies \text{\LARGE 0}[/tex]

The 44 members of the glee club are trying to raise at least $6,000 so they can compete in the state championship. They already have $1,220. What inequality can you enter to find the amount each member must raise, on average, to meet the goal?



The inequality that represents the situation is

Answers

The inequality that represents the situation is 45x + 1240 ≥ 6000

There are 45 members overall.

If one individual contributes $x, then

The sum that 45 individuals together raised is then equal to 45x.

$6000 is the bare minimum necessary to enter the competition.

$1240 is the amount they already have.

Therefore, the amount they need to raise is $6000 minus $1240.

Inequality can be displayed as:

45x ≥ 6000 - 1240

This demonstrates that the total amount raised by 45 individuals (45x) should be equal to or more than the sum they need to raise ($6,000 - $1240).

change the equation's order;

45x + 1240 ≥ 6000

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how do i solve -2.4>b/-2.5 step by step

Answers

Step-by-step explanation:

hope this helps....see above for answer

Anybody know the answer to this ?

Answers

On solving the provided question, we can say that - the data from graphs represents a curvilinear and straight graph.

What is graphs?

Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph

Here,

in graphs,

as per data we can say that there two types

one is curvilinear and other is straight graph.

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I need to factor completely to get an answer for
r²+3r-28
I need to get factors in parenthesis like (r +/- #) (r +/- #)
I need it before tomorrow

Answers

Answer:

(r + 7)(r - 4) = 0

Step-by-step explanation:

r² + 3r - 28 = 0

(r + 7)(r - 4) = 0

r = -7, 4

A fisherman illegally drops some fish into a pond, and they quickly propagate (reproduce). The population growth of the new specifies is modeled by P(x) = 6∙2x, where x is the time in weeks following the moment he dropped the fish into the pond. How many fish are in the pond after 3 months? (assume there are four weeks in a month) a. 48 b. 8, 916 c. 24,576 d. 72

Answers

The value of b that needs to be simplified is indicated as 1.43. The correct response when the new population growth is specified is A.

what is exponential function ?

A mathematical function known as an exponential function has the following formula: f (x) = an x, where x is a variable and an is a constant known as the function's base. The transcendental number e, or roughly 2.71828, is the most often encountered exponential-function base. Bacterial proliferation is an illustration of an exponential function. Some bacteria grow by twofolds per hour. After x hours, there will be twice as many germs present as there were when you started with just one. The formula for this is f(x) = 2x.

Given that,

When a fisherman unlawfully releases some fish into a pond, they immediately multiply (reproduce). P(x) = 6bx, where x is the number of weeks that have passed since the moment the fish was placed into the pond, and b is an unknown positive base, serves as a model for the population expansion of the new species.

According to the question,

P(x) = 6bˣ

Put p(x) = 51 and x = 6

51 = 6b⁶

17/2 = b⁶

b = [17/2]¹/⁶

b = 1.43

The b value that must be simplified is given as 1.43. A is the proper answer.

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Please help I have a learning disablity and need help with this.
Use Distribute Property to rewrite the algebraic expression.

5(x - 10)

Answer here _________

Answers

The value of the expression using the distributive property is 5x + 50.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

5 (x - 10)

The distributive property of multiplication over addition states that,

a x (b +  c) = a x b + a x c

Now,

5 (x - 10)

= 5x + 5 x 10

= 5x + 50

Thus,

The expresssion is 5x + 10

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solvve for z: (1st answer or nice and detailed answer brainliest)
1/2z+5=57

Answers

[tex]\dfrac{1}{2} z+5=57[/tex]

Subtract 5 from both sides:

[tex]\dfrac{1}{2} z+5-5=57-5[/tex]

[tex]\dfrac{1}{2} z=52[/tex]

Multiply both sides by 2:

[tex]2\times(\dfrac{1}{2} z)=2\times(52)[/tex]

[tex]\fbox{z = 104}[/tex]

Answer:

z=104

Step-by-step explanation:

1/2z=57-5

1/2z=52

1/2z*2=52*2

1z=104

1/1z=104/1

z=104

Kathy wants to place a printer from the filing cabinet. Can the other two distances shown be and ? Identify the answer with the correct explanation.

Answers

No. the sum of any two lengths of the triangle is greater than the third length.

Option (A) is correct.

What is a triangle?

A triangle is a polygon with three edges and three vertices. In Euclidean geometry, a triangle is completely determined by the three points that make up its vertices.

Kathy wants to place a printer 9ft from the filing cabinet. Can the other two distances are shown to be 7ft and 2ft.

No the sum of any two lengths of the triangle should be greater than the third side.

but 7 + 2 = 9, so the condition for a triangle is false.

Hence, the correct explanation would be "No. the sum of any two lengths of the triangle is greater than the third length."

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Kathy wants to place a printer 9ft from the filing cabinet. Can the other two distances shown be 7ft and 2ft? Identify the answer with the correct explanation. Printer Desk Filing Cabinet

O Yes; the sum of any two lengths is greater than the third length.

O No; the sum of any two lengths is not greater than the third length.

O Yes; the sum of any two lengths is equal to the third length.

O No; the sum of any two lengths is greater than the third length

Answer:

No; The sum of any two lengths is NOT greater than the third length

Step-by-step explanation:

It is given that three objects, a desk, a filing cabinet, and a printer, form a triangle.

Use the Triangle Inequality Theorem to determine whether the given distances can be the lengths of the sides of a triangle.

9+7=16>2

9+2=11>7

7+2=9=9

The sum of one pair of lengths is equal to the third length. Therefore, the distances between the desk, the printer, and the desk and the filing cabinet cannot be 7ft and 2ft since 7+2 equals 9.

a+ 1 1/6 = 11 7/9
...........................

Answers

Answer:

a = 191/81

Step-by-step explanation:

a+ 1 1/6 = 11 7/9

1 1/6 = 7/6

11 7/9 = 106/9

So, our equation is

a + 7/6 = 106/9

Subtract 7/6 from both sides

a = 191/81

So, the answer is

a = 191/81

Amrita divides a circular disc of radius 7 cm in two equal parts. What is the perimeter of each semicircular shape disc? (USE π=22/7 )

Answers

The perimeter of each semicircular shape disc created by Amrita by dividing a circular disc of radius 7 cm into two equal parts is 44 cm. This is calculated by multiplying the circumference of the circle (2πr = 2 × 22/7 × 7 = 44 cm) by half.

Amrita divided a circular disc of radius 7 cm into two equal parts. This created two semicircular shape discs

Step 1: Calculate the circumference of the original circle.

Circumference of a circle = 2πr

Circumference of the circle with a radius of

7 cm = 2πr = 2 × 22/7 × 7 = 44 cm

Step 2: Calculate the perimeter of each semicircular shape disc.

The semicircular shape discs are created by dividing the original disc into two equal parts. Therefore, the perimeter of each semicircular shape disc is half of the circumference of the original circle.

Perimeter of each semicircular shape disc

= 44 cm/2

= 22 cm

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the current ratio of Sara's sales to Ravi's sales is 100:2 would you earn a greater total commission with Sara or Ravi?
as a professional artist assume you will make pieces of art that sell at the same sales ratio as the artist with whom you apprenticed. would you earn more as a professional after apprenticed for Sara or Ravi?

Answers

One would earn more if one apprenticed for Sara as a professional artist as evident judging from the current sales ratio and commission rates.

Which of Sara and Ravi guarantees more earnings after apprenticeship?

As evident in the task content; the current ratio of Sara's sales to Ravi's sale is 100 : 2.

Since Sara's pieces of art sell for $25, the total earnings is; 25 × 100 = $2500.

Hence, since the commission rate is 60%, it follows that the commission earned on sales of Sara's pieces is; 60% of 2500 = 0.6 × 2500 = $1500.

Also, since Ravi's pieces each cost $2000, it follows that for 2 pieces, the total earnings is; 2 × $2000 = $4,000.

Hence, since the commission rate for Ravi's pieces is 25%, the commission earned is therefore; 25% of 4000 = 0.25 × 4000 = $1000.

Ultimately, one would earn more if one apprenticed for Sara.

Complete question; Sara's pieces of art sell for $25 each your commission is 60%.

Ravi's pieces of art sell for $2000 each and your commission is 25%.

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Find out the answer to 4x+12=63

Answers

Answer:

The answer to this question is x= 51/4

A culture of bacteria has an initial population of 7100 bacteria and doubles every 2 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t ​ =P 0 ​ ⋅2 d t ​ , where P_tP t ​ is the population after t hours, P_0P 0 ​ is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 15 hours, to the nearest whole number?

Answers

The population of bacteria in the culture after 15 hours, to the nearest whole number would be 1285235

A culture of bacteria has an initial population of 7100 bacteria and doubles every 2 hours.

Given that,

P_t = P_0 * 2^(t/d) , which refers to the formula for the calculation of the number of bacterial cell in a population.

In the given formula, P_t is the population after t hours, P_0 is the initial population, t is the time in hours and d is the doubling time in hours,

Therefore,

P_0 = 7100

d = 2

t = 15

so,

P_15 = 7100 * 2^(15/2) = 7100 * 181.019= 1285234.9 which is nearly equal to 1285235

A culture of bacteria has an initial population of 7100 bacteria and doubles every 2 hours, the population of bacteria in the culture after 15 hours, to the nearest whole number would be 1285235

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How many solutions does 2 variables have?

Answers

A linear equation in two variables has only 1 solution.

Now, According to the question:

Let's know:

The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution. For example, 2x+3=8 is a linear equation having a single variable in it. Therefore, this equation has only one solution, which is x = 5/2. Whereas if we speak about linear equation in two variables, it has two solutions.

An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0.

A linear equation in two variables has only 1 solution.

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Homer Simpson left an estate of $2.4 million. He left 10% to Springfield University, 15% to the First Church of Springfield, $600,000 to his wife Marge, and the remainder to be divided among his three children. How much did each child receive?

Answers

Hello there!

Answer:

$400'000

Step-by-step explanation:

Estate -- $2.4 million or $2'400'000

Springfield University will receive: 10% * $2'400'000 = 0.1 * $2'400'000 = $240'000

First Church of Springfield will receive: 15% * $2'400'000 = 0.15 * $2'400'000 = $360'000

Wife will receive $600'000

Total: $240'000 + $360'000 + $600'000 = $1'200'000

Children will receive at total: $2'400'000 - $1'200'000 = $1'200'000

So each child will receive: $1'200'000 / 3 = $400'000

Answer: Each child of Homer Simpson gets $400000.

Step-by-step explanation:

Homer Simpson left 10% of his estate, or (10/100)  x $2.4 million

= $ (10/100)x2400000= $240000

$240,000 to Springfield University.

He left 15% of his estate, or (15/100) x $2.4 million = $(15/100)2400000

= $360000

So 360,000 to the First Church of Springfield.

So in total, he left $240,000 + $360,000 + $600,000 = $(240000+360000+600000)

=$1200000

 $1,200,000 to organizations and his wife.

That means the remainder of the estate, $2.4 million - $1,200,000

= $2400000-1200000

= $1200000

1,200,000, was divided among his three children. So each child received $1,200,000 / 3 = $1200000/3

=$400000

Answer: $400000.

What are my financial goals? What major purchases should I save for?

Answers

It depends on your personal financial situation and goals. Generally, it is important to save for major purchases such as a house, car, and vacations, as well as setting aside money for retirement. Additionally, you may want to consider investing in stocks, bonds, or mutual funds to achieve your long-term financial goals.

Write 108:96 in the form 1:n.

Answers

Answer:

it will be [tex]1:\frac{8}{9}[/tex]

18 points ! The shape of Gretchen's data can be described as 1) skewed left 2) skewed right 3) symmetrical.



Because of this, the 1) mean 2) median would be the best measure of center for this data set. The actual value for the best measure of center is 1) 7, 2) 9, 3) 9. 1, 4) 9. 6​

Answers

The first blank is skewed left, the second blank is median, and the third blank is 9 is correct options.

What is  skewed left?

A distribution that is left-skewing has a lengthy left tail.

Distributions that are negatively skewed are also known as left-skewed distributions.

This is due to the number line having a significant negative tail.

Additionally, the peak is to the left of the mean.

The right tail of a right-skewed distribution is lengthy.

It's a widespread misperception that "peakness" is defined by the distribution's peak.

To put it another way, a peak that leans left indicates a left-skewed distribution.

Hence, The first blank is skewed left, the second blank is median, and the third blank is 9 is correct options.

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Arjun is hiking from a mountain lodge to a nearby summit. The probability that he will take the longest trail is 59. The odds against Arjun taking the longest trail are _[blank]_.

What odds best complete the sentence?

Enter your answer as “m:n{}^{\prime\prime} where m and n are the smallest integers possible, like this: 3:2

Answers

The odds against Arjun taking the longest trail are 4 : 9 .

How to find the probability ?

The probability that when Arjun is hiking from the mountain lodge to the nearby summit, he takes the longest trail, is 5 / 9.

This means that the odds that Arjun will not take the longest trail, or rather, the odds against him taking the longest trail, will be the difference between 1 and the probability that he takes the longest trail:

= 1 - 5 / 9

= 4 / 9

When given as a ratio, this would be:

=  4 : 9

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Given function g, which is defined by g(x)=x to the power of 3 -x , what is the value of g(3)?

Answers

Really sorry, misunderstood the equation. This is the answer though.

Answer:

24

Step-by-step explanation:

We have our function g(x) = [tex]x^{3}[/tex] - x

Now, we will substitute 3 in for x, giving us:

[tex]3^{3} - 3[/tex]

Now, we will simplify our exponent, giving us:

27 - 3 = 24

So your answer is 24.

Hope this helped!

find the number that makes the ratio equivalent to 1:8

Answers

Answer:

2:16

Step-by-step explanation:

maybe i don't know im not smart but that is the ratio equalivent i guess i have to make this 20 words long soooo

Answer:

To find the number that makes the ratio equivalent to 1:8, we need to set up the ratio as a fraction and solve for the missing value.

The ratio 1:8 can be written as the fraction 1/8. In this case, the missing value is the numerator (1) and the known value is the denominator (8). To solve for the missing value, we can multiply both the numerator and denominator by the same value.

For example, if we multiply both the numerator and denominator by 2, we have:

1/8 = (12)/(82) = 2/16

If we multiply both the numerator and denominator by 4, we have:

1/8 = (14)/(84) = 4/32

If we multiply both the numerator and denominator by 5, we have:

1/8 = (15)/(85) = 5/40

In each of these cases, the ratio is still equivalent to 1:8, but the missing value (the numerator) is different. In general, we can multiply the numerator and denominator by any value to find the missing number that makes the ratio equivalent to 1:8.

For example, if we multiply both the numerator and denominator by 10, we have:

1/8 = (110)/(810) = 10/80

In this case, the missing value (the numerator) is 10, which makes the ratio equivalent to 1:8.

Step-by-step explanation:

write as the opposite of a square root: -2 times square root of 3

Answers

the answer would be -144

you would have to multiply 3 by square 2, then multiply them which would be 3*4=12 and then you would square that which is 144 and because it is negative it would be -144

7•e^.1t =47 express the solution as a logarithmic in base e

Answers

Answer:

The value of t is 19.04

Step-by-step explanation:

[tex]7e^{0.1t} = 47\\[/tex]

[tex]e^{0.1t} = \frac{47}{7}[/tex]

take log both sides :

[tex]ln(e^{0.1t}) = ln(\frac{47}{7}) \\0.1t = 1.9042\\t = \frac{1.9042}{0.1}\\t = 19.04[/tex]

The figure was created by repeatedly reflecting triangle NMP.

A figure is created by continuously reflecting triangle N M P. The length of side N M is 6 inches, the length of side M P is 4 inches, and the length of side N P is 8 inches.

The scale factor of the dilation of segment HG is One-sixth.

Point P is the center of dilation. Line segment H G is dilated to form shorter line segment H prime G prime. The length of P G prime is 0.5

If PG' equals 0.5 units, what is PG?

2.5 units
3 units
4.5 units
6 units

Answers

The length of PG if PG' is 0.5 units is; 3 units.

What is dilation?

The act or action of enlarging, expanding, or widening : the state of being dilated: such as. : the act or process of expanding (such as in extent or volume)

Here, given that,

Dilation is simply defined as the shrinking or enlarging of an object by a scale factor.

Now, we are told that Line HG is dilated to form a shorter line H'G'.

We are told that the scale factor is 1/6.

Point P is the center of dilation and if PG' is 0.5 units, then we can write the relation as follows;

Length of PG'/Length of PG = 1/6

Thus;

0.5/length of PG = 1/6

Length of PG = 0.5/(1/6)

Length of PG = 4 units

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use your calculator to determine the percent of each number a.1% of 28 =

Answers

Answer:

0.28

Step-by-step explanation:

1% = 0.01

0.01 × 28 = 0.28

Other Questions
What would be one advantage of reading this scene? What quadrant is 3 and 4 in a graph? What is the overall effect of the last sentence of the passage? A. The final sentence of the passage ends the last day before the strike, suggesting that the worker will definitely be fired after the strike. B. The final sentence of the passage sets the reader up for a change, just as workers were facing change in a new technical age. C. The question at the end of the text shows that the worker was uncertain when taking risks with unions and strikes. D. The question at the end of the text emphasizes the workers' confusion as to what a union is and will accomplish. What is the process called when the ice reaches the coast breaks off to form icebergs that are then carried out to sea? If mean global temperature keeps on increasing as predicted by contemporary scientists, which of the following is most likely What are the rules to conduct a group discussion? A person eats an apple and is sick within two hours. This person suspects that there was some kind of contaminant on the skin of the apple. This person has Raw sugar cane is taken into a process to create sugar, which is essentially sucrose. the raw cane is approximately 16% sucrose, 63% water, and the rest fiber by mass. juice from the cane is extracted by passing the cane through a series of crushers. about 5% extra mass of water is added to the sugar cane prior to this step to help in the extraction process. the crushed cane and liquid juice is sent to a filter press that creates a cake that contains 4% of the weight of the cane juice, which has a composition similar to the overall non-fiber content of the raw cane. the filtrate is sent to an evaporator where enough water is evaporated to obtain a pale yellow juice that is 41% water. A series of vacuum processes removes enough water without damaging the sugars until you obtain a solution that is 91% sucrose. At this point, the mixture is fed to a crystallizer to produce a final product of sucrose that is 97.8% crystal. You control the process by measuring the flowrate of the solution into the crystallizer using a manometer that has mercury as the working fluid. The open-ended manometer shows a mercury height difference of 6.3 inches, , while the height of the sucrose solution in the manometer between the mercury and the pipe is 15.3 in.The flowrate of the mixture into the crystallizer is related to the pressure with the following equation:q(m^3/s) = 0.0307 m^3/hr atm^1/2 PmanometerWhat is the mass of sugar cane being fed to the process with this flowrate, in kg/s? Does a ball rolling down a ramp have constant acceleration? What should a nurse include in the initial plan of care for a client with the long-standing obsessive-compulsive behavior of handwashing Proponents of poverty as a structural problem trace its roots to dysfunctional aspects of the: Enter the current total of consumer and installment debt (money borrowed for cars, appliances, credit cards, etc.) owed by your parents. (Do not include mortgage debt or other debt already included on this application.) What is the dual of a b c d? 1/4 Ib = ? ozI dont understand how the fraction can be turned into the answer , I know you have to multiply or divide but I just do not understand this question assume for a given studey that the null hypothesis asserts that the expected value of a phenomenon is 100 Read the excerpt from "Keynote Address." Of course, expectations are rising, and they are rising faster than we in our imperfect world can fulfill them. The revolution we in the United States are experiencing was born of democratic processes that not only accommodate economic progress and social mobility, but actively encourage them. But it is important to remember that these expectations are the children of progress and that todays restlessness has been nurtured by our very real achievements. Out of these should emerge a brighter and better society than we have known.Which best describes how Inouye uses rhetoric in this excerpt?He attempts to appeal to emotion by comparing current events to a "revolution."He appeals to logic by using the metaphor "the children of progress" to describe rising expectations.He appeals to a sense of timeliness by using alliteration in the phrase "brighter and better society."He attempts to create a sense of unity with the audience by using pronouns such as "we" and "our." In what ways do social pressures contribute to adolescent mental health and well-being issues? what enzyme can proof-read the dna molecule, minimizing the mistakes made during the process of dna replication? - Write one fraction that is greater than 1 and one fraction that is less than 1. Compare the fractions. Explain your reasoning. is a(b)+a(c) the same as a(b+c)