A circle has a Diameter of 8 what is the perimeter and area

Answers

Answer 1

Answer:

Area is 16 pi or about 50.27

Perimeter/circumference is 8 pi or about 25.13

Perimeter of a circle is basically the circumference. the formula of the circumference is 2 pi r. 2r = diameter

that means the circumference is 8pi or about 25.13

The formula for the area of a circle is pi r^2

The radius, or r is half the diameter. so 8/2 = 4 . The radius is 4

pi * 4^2

4^2 = 16

16 pi is the area or about 50.27

Step-by-step explanation:


Related Questions

What additional information would allow you to prove the quadrilateral is a parallelogram according to the minimum criteria?
Question 5 options:

A)

||

B)



C)



D)

∠F ≅ ∠H

What additional information would allow you to prove the quadrilateral is a parallelogram according to

Answers

The additional information would allow you to prove the quadrilateral is a parallelogram according to the minimum criteria is

EJ ≅ GJ. Option A

How to prove the statement

We need to know the properties of a parallelogram, we have;

Opposite sides are parallel.Opposite sides are congruent.Opposite angles are congruent.Same-Side interior angles (consecutive angles) are supplementary.

We know that FJ  ≅ JH, it's given by the marks, now if it were to happen that EJ ≅ GJ, that would mean that the diagonals on that quadrilateral are bisecting each other, and if that's so, then the quadrilateral it's indeed a parallelogram.

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The complete question:

What additional information would allow you to prove the quadrilateral is a parallelogram according to the minimum criteria?

A)

ej ≅ gj

B)

ej || gj

C)

fg || eh

D)

ef ≅ hg

The ordered pair (2, 10) is a point on a direct variation equation. Write the direct variation equation.

Answers

Answer:

Y=KX so its 10=K2

Step-by-step explanation:

Plug in the Number OR K=y/x

‼️‼️‼️‼️‼️‼️‼️Please tell me the area and attach work but please explain it to me

Please tell me the area and attach work but please explain it to me

Answers

Answer:

You have to break it into two rectangles.

Step-by-step explanation:

Once you have it in two rectangles, I found the width of the smaller rectangle because I know the whole side is 16.  I know the larger rectangle has a width of 13.  I subtracted to find that extra little bit of space is 3.  The formula for a rectangle is length x width.  Now you just need to find the area of each rectangle and add them together.

Please tell me the area and attach work but please explain it to me

Answer:

Step-by-step explanation:

so what I did is made the full rectangle then removed the blank.

21x16=336

Now the blank space

16x3=48

336-48=288

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5-142. Use the similar figures at right to answer the questions.

1. What is the scale factor?______

2. Find the lengths of the missing sides on the similar shapes below.

X=______ Y=_______ Z=_____

QUICK ILL MARK YOU BRAINLIEST!! 5-142. Use the similar figures at right to answer the questions. 1. What

Answers

Answer:

Z = 22.5, Y = 81, X = 26.7

Step-by-step explanation:

Using the lengths you do know compare them to the copy, the only two lengths available that are for the same side length are 33 and 22, divide them together and you get 1.5. Thats the scale factor. Everything else you can figure out by multiplying or dividing by this scale factor.

\(Z = (15)(1.5) = 22.5\\Y = (54)(1.5) = 81\\X = (40)/(1.5) = 26.7\)

Is 1/4 equal to or less than 2/8

Answers

Answer: Equal to

Explanation: because if u multiply 1/4 by 2 it’s 2/8

Answer:

Equal to.

Step-by-step explanation:

We can prove this by multiplying the numerator and denominator by 2.

1 times 2 and 4 times 2 leaves you with 2/8, proving that the fractions are equal.

You can also show this by modeling it. Two 1/8 slices of pizza are together the same size as a single 1/4 slice of pizza.

The meaning of the decimal representation of a number 0.d1d2d3?. (where the digit d1 is one of the numbers 0,1,2,?., 9) is that Show that this series always converges.

Answers

This series 9 (.d1d2d3 . . .) is convergent because it is in increasing order.

How to describe the convergent series?In a geometric progression, each element following the first is created by multiplying it by a number known as the common ratio, which is represented by the symbol r.

For the stated question-

The information provided indicates that the decimal expression's digits, d, are 10.The common ratio is 1/10, and the right-hand side of a inequality is a sum with 1 as the first term in the geometric progression.

The geometric progression's sum in this instance is represented as follows:

= a / (1 - r)

= 1 / (1 - r)

= 10/9

As a result, the series becomes convergent since it is in increasing order.

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The complete question is-

The meaning of the decimal representation of a number 0.d1d2d3 . . . (where the digit i is one of the numbers 0, 1, 2, . . ., 9) is that 0.d1d2d3d4 . . . = d1/10 + d2/10^2 + d3/10^3 + d4/10^4 + . . . Show that this series always converges.

5x+2=3x+6 what does x equal?

Answers

Answer:

x=2

Step-by-step explanation:

how many ft is equal to 1.66m

Answers

Answer:

5.44 meters

Step-by-step explanation:

We Know

0.3048 meter = 1 ft

How many ft makes a height of 1.66m?

We Take

1.66 ÷ 0.3048 ≈ 5.44 meters

So, the answer is 5.44 meters.

What are the factors of 2a³ + a² + 2a + 1?

O 2(a² + 1)(a + 1)
O(a + 1)(a - 1)(2a + 1)
O (a² + 1)(2a + 1)
O 2(a + 1)2 (a - 1)

Answers

Answer:

The answer is (a²+1)(2a+1)

Consider your eight-digit student ID as a set of single-digit integers. For example, if your student ID is the number 01238586, then it represents the set S = {0, 1, 2, 3, 5, 6, 8}. Now consider your student ID as a sequence of eight digits. For example, if your student ID is the number 01238586, then it represents the sequence D = (0, 1, 2, 3, 8, 5, 8, 6). The sequence can be used to define a relation r:S -→ S by creating the elements of r as follows, r = {(d1, d2), (d3, d4), (d5, do), (d7, dz)} = > > The di, 1 < i < 8 are the digits in the sequence read left to right. For example, if your student ID is the number 01238586, then r = {(0, 1), (2, 3), (8,5), (8, 6)} 2 Questions to Answer a. Create the relation r using your student ID. Record the relation in roster notation as a set of 2- tuples (see example).
b. Extend your relation by adding the 2-tuple (d2, dị) to r, creating the relation R. That is, , R= r U {(d2, d])} Record the relation Ras a set of 2-tuples c. Find the transitive closure, T, of the relation R. Record the relation T as a set of 2-tuples.

Answers

The relation r in roster notation as a set of 2-tuples is: r = {(1, 0), (6, 9), (9, 9), (8, 4)} The relation R in roster notation as a set of 2-tuples is: R = {(1, 0), (6, 9), (9, 9), (8, 4), (0, 1)}. The transitive closure T of the relation R is the set of tuples above. T = {(1, 0), (1, 1), (1, 4), (1, 8), (6, 9), (6, 4), (6, 8), (9, 9), (9, 4), (9, 8), (8, 4)}.

To create the relation r using your student ID, we first represent the student ID as a set of single-digit integers:

S = {1, 0, 6, 9, 9, 8, 4, 7}

Then we use the sequence D = (1, 0, 6, 9, 9, 8, 4, 7) to create the relation r as follows: r = {(1, 0), (6, 9), (9, 9), (8, 4)}

So the relation r in roster notation as a set of 2-tuples is:

r = {(1, 0), (6, 9), (9, 9), (8, 4)}

To extend the relation r by adding the 2-tuple (d2, dị) to r, we first need to identify the values of d2 and d1 from our student ID:

d2 = 0

d1 = 1

Then we add the tuple (d2, d1) to r to create the new relation R:

R = r U {(0, 1)}

So the relation R in roster notation as a set of 2-tuples is:

R = {(1, 0), (6, 9), (9, 9), (8, 4), (0, 1)}

To find the transitive closure of the relation R, we need to find all pairs of elements that are related transitively. We can do this by repeatedly applying the rule that if (a, b) and (b, c) are in the relation, then (a, c) is also in the relation.

Starting with the relation R, we can see that (1, 0) is related to (0, 1), so we add (1, 1) to the relation. Then we can add (1, 4) and (1, 8) to the relation, based on the pairs (1, 0) and (0, 4) and (0, 8), respectively.

Next, we can add (6, 9) and (9, 9) to the relation, based on the pair (6, 9). We can also add (6, 4) and (6, 8) to the relation, based on the pairs (6, 9) and (9, 4) and (9, 8), respectively.

We can also add (9, 4) and (9, 8) to the relation, based on the pair (9, 9). Finally, we can add (8, 4) to the relation, based on the pair (8, 4).

Applying these rules, we get the transitive closure T of the relation R:

T = {(1, 0), (1, 1), (1, 4), (1, 8), (6, 9), (6, 4), (6, 8), (9, 9), (9, 4), (9, 8), (8, 4)}

So the relation T in roster notation as a set of 2-tuples is:

T = {(1, 0), (1, 1), (1, 4), (1, 8), (6, 9), (6, 4), (6, 8), (9, 9), (9, 4), (9, 8), (8, 4)}

The transitive closure T of the relation R is the set of tuples above.

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54 students from a local high school were asked two questions about musical preferences: “Do you like rock?” “Do you like rap?” The responses are summarized in the table below. Is there evidence of a positive association between liking rock and liking rap?

Answers

There is evidence of a positive association between liking rock and liking rap as this can be seen from the fact that a larger proportion of students who like rock also like rap.

How to illustrate the information

When the values of two variables tend to rise together, this is referred to as a positive association between the two variables. When the values of one variable tend to fall as the values of the other variable rise, there is a negative relationship between the two variables.

There is proof that liking rap and liking rock are positively correlated. The fact that more pupils who enjoy rock also like rap (27 out of 33, or 81.8%) than those who don't like rock (17 out of 21, or 80.9%) demonstrates this.

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54 students from a local high school were asked two questions about musical preferences: “Do you like rock?” “Do you like rap?” The responses are summarized in the table below. Is there evidence of a positive association between liking rock and liking rap

likes rap doesn't like rap

likes rock 27 6

doesn't like rock 4 17

Question provided in attachment.

Question provided in attachment.

Answers

We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour.

How to calculate the value

Sample Mean: = (29 + 27 + 34 + 40 + 22 + 28 + 14 + 35 + 26 + 35 + 12 + 30 + 23 + 18 + 11 + 22 + 23 + 33) / 18

= 480 / 18

≈ 26.667

Sample Standard Deviation (s):

= ✓((Σ(29 - 26.667)² + (27 - 26.667)² + ... + (33 - 26.667)²) / (18 - 1))

≈ ✓(319.778 / 17)

≈ ✓(18.81)

≈ 4.336

Confidence level = 99%

Sample Size (n) = 18

Sample Mean = 26.667

Sample Standard Deviation (s) = 4.336

Degrees of Freedom (df) = n - 1 = 18 - 1 = 17

Using a t-table or statistical software, we find that the critical value for a 99% confidence level with 17 degrees of freedom is approximately 2.898.

Margin of Error (E) = 2.898 * (4.336 / ✓18))

≈ 3.748

Confidence Interval = (26.667 - 3.748, 26.667 + 3.748)

= (22.919, 30.415)

We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour. This means that if we were to repeat the study multiple times and construct confidence intervals, approximately 99% of those intervals would contain the true mean healing rate of the population.

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i need help with this please!

i need help with this please!

Answers

Answer:

1

Step-by-step explanation:

Answer:

A.1

Step-by-step explanation:

The cost of one t-shirt is 128. How much will be the cost of 20

Answers

The cost of 20 T-Shirt will be 2560 when cost of one t-shirt is 128.

When a selling price and profit are provided, cost price equals selling price plus profit. When the selling price and loss are disclosed, cost price equals selling price plus loss.

Profit is calculated as S.P. - C.P. If the selling price is less than the cost price, the difference between the two is the loss incurred. Loss is also equal to C.P. - S.P.

We must divide the gross profit by the entire revenue for the year, multiply by 100, and then find the gross profit margin. We must divide net income (or net profit) by the entire annual revenue before multiplying the result by 100 to get the net profit margin.

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evaluate 16 + 20/t for t =4
steps please

Answers

Answer:

21

Step-by-step explanation:16+20/t, T=4 so its 16 + 20/4, 20/4 is 5, 16+5 = 21.

Question 9 of 60
Which symbol correctly compares the fractions below? 3/7 ? 4/14
O A. =
B. >
O C. <
OD. None of these are correct.
SUBMIT

Answers

My answer is letter B. >

Find the equation of the linear function represented by the table below in slope-intercept form.
x y
-4 17
1 -3
6 -23
11 -43

Answers

well, to get the equation of a line all we need is two points, so let's simply pick two points off the table, hmmmm say (1 , -3) and hmmm (11 , -43)

\((\stackrel{x_1}{1}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{11}~,~\stackrel{y_2}{-43}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-43}-\stackrel{y1}{(-3)}}}{\underset{run} {\underset{x_2}{11}-\underset{x_1}{1}}}\implies \cfrac{-43+3}{10}\implies \cfrac{-40}{10}\implies -4\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{-4}(x-\stackrel{x_1}{1}) \\\\\\ y+3=-4x+4\implies y=-4x+1\)

A rectangle has an area of 64 ft squared. If the length of the rectangle is x ft and the width of the rectangle is x to the 1/2 ft, find the length and width of the rectangle.

Answers

Answer:

I DONT KNOW BUT YOU HAVE TO CHECK OUT MY QUESTION NO OE CAN SOLVE IT I BET

Step-by-step explanation:

Can someone help me with this geometry question ( Ill give brainliest )
The slope of one of the sides of a parallelogram is 5/8. What must be the slope of the opposite side?
Please Explain

Answers

5/8 parallelograms sides are parallel, hence the name. Parallel lines have the same slope

-1000 2/3 is not real fraction. True or false

Answers

True, While "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

The statement "-1000 2/3 is not a real fraction" is true. A real fraction is a mathematical expression that represents a ratio of two real numbers. In a fraction, the numerator and denominator are both real numbers, and they can be positive, negative, or zero.

In the given statement, "-1000 2/3" is not a valid representation of a fraction. The presence of a space between "-1000" and "2/3" suggests that they are separate entities rather than being part of a single fraction.

To represent a mixed number (a whole number combined with a fraction), a space or a plus sign is typically used between the whole number and the fraction. For example, a valid representation of a mixed number would be "-1000 2/3" or "-1000 + 2/3". However, without the proper formatting, "-1000 2/3" is not considered a real fraction.

It's important to note that "-1000 2/3" can still be expressed as an improper fraction. To convert it into an improper fraction, we multiply the whole number (-1000) by the denominator of the fraction (3) and add the numerator (2). The result would be (-1000 * 3 + 2) / 3 = (-3000 + 2) / 3 = -2998/3.

In conclusion, while "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

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"An ordinance requiring that a smoke detector be installed in all previously constructed houses has been in effect in a particular city for 1 year. The fire department is concerned that many houses remain without detectors. Let p= the true proportion of such houses having detectors, and suppose that a random sample of 25 homes is inspected. If the sample strongly indicates that fewer than 80% of all houses have a detector, the fire department will campaign for a mandatory inspection program. Because of the costliness of the program, the department prefers not to call for such inspections unless sample evidence strongly argues for their necessity. Let X denote the number of homes with detectors among the 25 sampled. Consider rejecting the claim that p>= 0.8 if x<= 15.


a. What is the probability that the claim is rejected when the actual value of p is 0.8?
b. What is the probability of not rejecting the claim when p= 0.7? when p= 0.6?
c. How do the "error probabilities" of parts (a) and (b) change if the value 15 in the decision rule is replaced by 14?

Answers

Answer:

a) Probability that the claim is rejected when the actual value of p is 0.8 = P(X ≤ 15) = 0.0173

b) Probability of not rejecting the claim when p = 0.7, P(X > 15) = 0.8106

when p = 0.6, P(X > 15) = 0.4246

c) Check Explanation

The error probabilities are evidently lower when 15 is replaced with 14 in the calculations.

Step-by-step explanation:

p is the true proportion of houses with smoke detectors and p = 0.80

The claim that 80% of houses have smoke detectors is rejected if in a sample of 25 houses, not more than 15 houses have smoke detectors.

If X is the number of homes with detectors among the 25 sampled

a) Probability that the claim is rejected when the actual value of p is 0.8 = P(X ≤ 15)

This is a binomial distribution problem

A binomial experiment is one in which the probability of success doesn't change with every run or number of trials (probability that each house has a detector is 0.80)

It usually consists of a number of runs/trials with only two possible outcomes, a success or a failure (we are sampling 25 houses with each of them either having or not having a detector)

The outcome of each trial/run of a binomial experiment is independent of one another.

Binomial distribution function is represented by

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = 25 houses sampled

x = Number of successes required = less than or equal to 15

p = probability of success = probability that a house has smoke detectors = 0.80

q = probability of failure = probability that a house does NOT have smoke detectors = 1 - p = 1 - 0.80 = 0.20

P(X ≤ 15) = Sum of probabilities from P(X = 0) to P(X = 15) = 0.01733186954 = 0.01733

b) Probability of not rejecting the claim when p= 0.7 when p= 0.6

For us not to reject the claim, we need more than 15 houses with detectors, hence, th is probability = P(X > 15), but p = 0.7 and 0.6 respectively for this question.

n = total number of sample spaces = 25 houses sampled

x = Number of successes required = more than 15

p = probability that a house has smoke detectors = 0.70, then 0.60

q = probability of failure = probability that a house does NOT have smoke detectors = 1 - p = 1 - 0.70 = 0.30

And 1 - 0.60 = 0.40

P(X > 15) = sum of probabilities from P(X = 15) to P(X = 25)

When p = 0.70, P(X > 15) = 0.8105639765 = 0.8106

When p = 0.60, P(X > 15) = 0.42461701767 = 0.4246

c) How do the "error probabilities" of parts (a) and (b) change if the value 15 in the decision rule is replaced by 14.

The error probabilities include the probability of the claim being false.

When X = 15

(Error probability when p = 0.80) = 0.0173

when p = 0.70, error probability = P(X ≤ 15) = 1 - P(X > 15) = 1 - 0.8106 = 0.1894

when p = 0.60, error probability = 1 - 0.4246 = 0.5754

When X = 14

(Error probability when p = 0.80) = P(X ≤ 14) = 0.00555

when p = 0.70, error probability = P(X ≤ 14) = 0.0978

when p = 0.60, error probability = P(X ≤ 14) = 0.4142

The error probabilities are evidently lower when 15 is replaced with 14 in the calculations.

Hope this Helps!!!


What number equals 2 4/5?
O 0.28
O 0.357
O 2.45
O 2.8

Answers

I think its 2.8.

Reason why:

4/5 = 0.8

Then the 2 would a whole number...

so 2.8.

Divide. Write the answer in simplest form 2 1/2 ÷ 8​

Answers

Answer:

Step-by-step explanation:

2.5/8

(5/2) / 8

(5/2) * (1/8)

5/16

Add Hours & Minutes.
What is 03:45 + 04:47?

Answers

Answer:

8:32

Step-by-step explanation:

add 345+447 to get 792 then subtract 60 and add 100 to get 8:32

I need help please ASAP

I need help please ASAP

Answers

I’m pretty sure it is the first one

The sum of two integers is -186. The larger integer is 14 less than
three times the smaller number. Find the two integers.

Answers

The values of the two integers are -43 and -143.

What are the values of the two integers?

Let the value of the smaller integer be "x".

Smaller integer = xLarger integer = 3x - 14Sum of the integers = -186

Since, the sum of two integers is -186.

Smaller integer + Larger integer = -186

x + ( 3x - 14 ) = -186

Solve for x

x + 3x - 14 = -186

4x - 14 = -186

4x = -186 + 14

4x = -172

x = -172/4

x = -43

Hence;

The smaller integer = x = -43

The largere integer = 3x - 14 = 3(-43) - 14 = -143.

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figure 2-18 shows four paths along which objects move from a starting point to a final point, all in the same time interval. the paths pass over a grid of equally spaced straight lines

Answers

The ranking based on average speed is 1 > 2 > 4 > 3

(a) Based on the given information, we have:

V1 = V2: The objects on paths 1 and 2 have the same average velocity.

V3 < V4: The object on path 4 has a greater average velocity than the object on path 3.

(b) Average speed is simply the distance traveled divided by the time interval. If the objects move at a constant speed along each path, then the paths with the greatest distances will have the greatest average speeds. Therefore, the ranking based on average speed is:

1 > 2 > 4 > 3

Note that this ranking is based only on the distances traveled along each path, and does not take into account the directions of motion or any changes in direction.

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figure 2-18 shows four paths along which objects move from a starting point to a final point, all in

Write the comparison using <, >, or =.
Z 3 pounds
32 ounces
14 pounds
40 ounces
1,000 pounds
1 ton
4,000 pounds
1 pound and 5 ounces
1.5 pounds
2 tons
28 ounces
25 ounces

Answers

3 pounds 32 ounces < 14 pounds 40 ounces

1,000 pounds = 1 ton

1 pound and 5 ounces < 1.5 pounds

2 tons = 4,000 pounds

28 ounces > 25 ounces

What are the values in the compared weights?

The comparison of the values of the given weights is as follows:

3 pounds 32 ounces < 14 pounds 40 ounces

This is because there are fewer pounds and ounces in 3 pounds 32 ounces compared to 14 pounds 40 ounces.

1,000 pounds = 1 ton

This is because 1,000 pounds is equal to 1 ton.

1 pound and 5 ounces < 1.5 pounds

This is because 1 pound and 5 ounces is less than 1.5 pounds.

2 tons = 4,000 pounds

This is because 2 tons is equal to 4,000 pounds.

28 ounces > 25 ounces

This is because 28 ounces is greater than 25 ounces.

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Complete question:

Write the comparison using <, >, or =.

3 pounds 32 ounces vs  14 pounds 40 ounces

1,000 pounds vs 1 ton

1 pound and 5 ounces vs 1.5 pounds

2 tons vs 4,000 pounds

28 ounces vs 25 ounces

Please answer this correctly

Please answer this correctly

Answers

Answer:

The second graph.

Step-by-step explanation:

0-9: 6 numbers

10-19: 2 numbers

20-29: 1 number

30-39: 3 numbers

40-49: 1 number

50-59: 2 numbers

60-69: 0 numbers

70-79: 5 numbers

80-89: 3 numbers

90-99: 1 number

explain in words how to find the product of -4 (-1.5) using a number line.where do you end up

Answers

Answer:

To multiply two minus numbers they  will result as a positive number.

the product of any numbers when there is a negtive will always have 2 negtives invlved form three numbers including the answer.

-4 x -1.5 is the same as 4 x 1.5

the answer is  6

Three numbers like -1 x  4 will also be 2 numbers of negative.

= -4

We change this to -4 x 1.5 and shows the answer as -6

But the question had 2 negative numbers already and the answer is just positive 6.

-4×(-1.5)=6

Hope my answer helped u :)
Other Questions
1 1/6 + (x/3 1/4) = 1 3/4solve for x PLEASE HELP ITS DUE TOMORROW Ser o estar? The restaurant sells their arnold palmer for 4 cups for 5$. What is the price of 1 cup? In 1883, citizens all over america reset their clocks and watches to reflect the current time in one of four new u.s. time zones. these new time zones were the result of _____. a. the united states cooperation in a world-wide time zone reform b. american railroad companies trying to simplify and coordinate their schedules c. labor unions arguing the need for factory workers to work the same work day from 8 a.m. to 5 p.m. d. samuel morses realization that the sun will rise on the west coast three hours earlier than the east coast A cubic function has turning points at (-1,2) and (1,-2). Which could be its graph? What is the purpose of professional communication? 3. A student adds 0.400g of n-propanol to 13.0 g of t-butanol. What is the molality of the solution? Show your calculations. (3 pts Find the local maxima, local minima, and saddle points, if any, for the function z = 3x3 36xy 3y3. (Use symbolic notation and fractions where needed. Give your answer as point coordinates in t The Offspring produced by a cross between two given types of plants can be any of the three genotypes denoted by A, B, and C. A theoretical model of any of the three genotypes denoted by A, B, and C should be in the ratio 1:2:1. For experimental verification, 100 plants are bred by crossing the two given types. Their genetic classifications are recorded. Do these data contradict the genetic model In order to alleviate the effects of bias in employment testing, employers might want to use ________ because they typically do not show racial or ethnic differences. The series of developmental stages from birth through adulthood and death is called? From the perspective of a medical anthropologist, all medical systems constitute a form of ________ because they are based in a particular local cultural reality A species A diffuses radially outwards from a sphere of radius ro. The following assumptions can be made. The mole fraction of species A at the surface of the sphere is XAO. Species A undergoes equimolar counter-diffusion with another species B: The diffusivity of A in B is denoted DAB. The total molar concentration of the system is c. The mole fraction of A at a radial distance of 10ro from the centre of the sphere is effectively zero. (a) Determine an expression for the molar flux of A at the surface of the sphere under these circumstances. Likewise determine an expression for the molar flow rate of A at the surface of the sphere. [12 marks] (b) Would one expect to see a large change in the molar flux of A if the distance at which the mole fraction had been considered to be effectively zero were located at 100ro from the centre of the sphere instead of 10ro from the centre? Explain your reasoning. (c) The situation described in (b) corresponds to a roughly tenfold increase in the length of the diffusion path. If one were to consider the case of 1-dimensional diffusion across a film rather than the case of radial diffusion from a sphere, how would a tenfold increase in the length of the diffusion path impact on the molar flux obtained in the 1-dimensional system? Hence comment on the differences between spherical radial diffusion and 1-dimensional diffusion in terms of the relative change in molar flux produced by a tenfold increase in the diffusion path. A chemical plant produces sodium bisulfate in 120 kg bags. Demand for this product is 35 tonnes per day. The capacity for producing this product is 55 tonnes per day. Setup cost is $500, and holding cost is $240 per tonne per year. The company operates 220 days a year. (Note: 1 tonne = 1,000 kg).a. What is the optimal number of bags per production run? (Round your intermediate calculations to 2 decimal places and the final answer to the nearest whole number.)Optimal number of bagsb. What would the average inventory level be for this lot size? (Round your intermediate calculations to 2 decimal places and the final answer to the nearest whole number.)Average inventory bagsc. Determine the approximate length of a production run, in days. (Round the intermediate calculations and final answer to 2 decimal places.)Run length daysd. About how many production runs per year would there be? (Round your intermediate calculations to 2 decimal places and the final answer to 1 decimal place.)Runs per yeare. How much could the company save annually in inventory control cost if the setup cost could be reduced to $250 per production run and the optimal production quantity is recalculated and used? (Round the intermediate calculations and final answer to 2 decimal places.) Joelle wants to center a painting on a wall that is 16.9 feet long. how much space will be between the end of the wall and the painting? $20 off, 30% original price which part of the brain creates? find an article from Science Daily that describes a scientific experiment. Read the article and then describe the hypothesis that was tested, the methods used, and the major results found. Finally, be sure to discuss if the results surprised you or if they were in-line with what you knew before you read the article. Ph=4.390 write the henderson-hasselbalch equation for a propanoic acid solution (ch3ch2co2h, pka=4.874). 4.390 n the case of communicable diseases, dogs show symptoms of disease but are not contagious to humans