What is 4÷3/5 Options:6 6 2/5 6 2/3 8​

Answers

Answer 1

Answer:

\(6\frac{2}{3}\)

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.


Related Questions

Show that σ^2 = SSE/n, the MLE of σ^2 is a biased estimator of σ^2?

Answers

The MLE of σ² is a biased estimator of σ²

The maximum likelihood estimator (MLE) of σ² is a biased estimator, we need to demonstrate that its expected value is different from the true population variance, σ².

Let's start with the definition of the MLE of σ². In the context of simple linear regression, the MLE of σ² is given by:

MLE(σ²) = SSE/n

where SSE represents the sum of squared errors and n is the number of observations.

The expected value of the MLE, we need to take the average of all possible values of MLE(σ²) over different samples.

E(MLE(σ²)) = E(SSE/n)

Since the expectation operator is linear, we can rewrite this as:

E(MLE(σ²)) = 1/n × E(SSE)

Now, let's consider the expected value of the sum of squared errors, E(SSE). In simple linear regression, it can be shown that:

E(SSE) = (n - k)σ²

where k is the number of predictors (including the intercept) in the regression model.

Substituting this result back into the expression for E(MLE(σ^2)), we get:

E(MLE(σ²)) = 1/n × E(SSE)

= 1/n × (n - k)σ²

= (n - k)/n × σ²

Since (n - k) is less than n, we can see that E(MLE(σ²)) is biased and different from the true population variance, σ².

Therefore, we have shown that the MLE of σ² is a biased estimator of σ².

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The question is incomplete the complete question is :

Show that σ² = SSE/n, the maximum likelihood estimator of σ² is a biased estimator of σ²?

Two angles are supplementary one angle is 2/3 the measure of the other one find both angles

Answers

Answer:

The measures are 108 deg and 72 deg.

Step-by-step explanation:

The larger angle has measure x.

The smaller angle has measure (2/3)x.

They are supplementary, so the sum of their measures is 180 degrees.

x + (2/3)x = 180

(3/3)x + (2/3)x = 180

(5/3)x = 180

(3/5) * (5/3)x = (3/5) * 180

x = 108

(2/3)x = 2/3 * 108 = 72

Answer: The measures are 108 deg and 72 deg.

what is the square route of 34

Answers

Answer:

\( \sqrt{34} = \sqrt{17 \times 2} =5.831\)

5.831 is the right answer.

Answer:

5.831

Step-by-step explanation:

hope it hlp u

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Given g(x) = 5x + 1,
find g(2).

Answers

Answer:

\(g(2)=11\)

Step-by-step explanation:

\(g(2)=5(2)+1=10+1=11\)

it takes 22 minutes to go 1 mile on horseback. at this rate, how long will it take tim to go 6 miles

Answers

Answer:

132 minutes

Step-by-step explanation:

If you see that 1 mile is 22 minutes, then you would know 2 miles is double, three miles is triple and so on. So you would do 22x6 for the six miles to get your answer of 132, or you can even do 22 plus 22 six times.

Answer:

132 minutes = 2 hours and 12 minutes

Step-by-step explanation:

22 x 6 = 132 (minutes)

to find it in hours:

132 divided by 60 = 2.2 (2 hours)

2 x 60 = 120

132 - 120 = 12 (minutes)

Find two points on the line to graph the function. Any line or curves will be drawn once all required points are plotted

Find two points on the line to graph the function. Any line or curves will be drawn once all required

Answers

The given function is:

\(g(x)=3-\frac{1}{4}x\)

At x = 0:

\(\begin{gathered} g(0)=3-\frac{1}{4}(0) \\ g(0)=3-0 \\ g(0)=3 \end{gathered}\)

Therefore, one point is (0, 3)

At x = 12:

\(\begin{gathered} g(12)=3-\frac{1}{4}(12) \\ \\ g(12)=3-3 \\ \\ g(12)=0 \end{gathered}\)

Another point is (12, 0)

The graph of g(x) considering the points (0, 3) and (12, 0) is plotted below

Find two points on the line to graph the function. Any line or curves will be drawn once all required

Ustal, jaką wartość przyjmuje funkcja y=-2x+3 dla argumentu (-2) oraz dla jakiego argumentu funkcja przyjmuje wartość (-1)

Answers

Answer:

no hablo espanyore lol

Step-by-step explanation:

The z score associated with the highest 10% is closest to
a. .0398
b. .5398
c. 1.28
d. -1.28

Answers

The z score associated with the highest 10% is closest to: option (c) 1.28

-To find the z score associated with the highest 10%, first determine the percentage that corresponds to the lower 90%, since the z score table typically represents the area to the left of the z score.

- Look up the 0.90 (90%) in a standard normal distribution  (z score) table, which will give you the corresponding z score.

-The z score closest to 0.90 in the table is 1.28, which corresponds to the highest 10% of values.

Therefore, the z score associated with the highest 10% is closest to 1.28.

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please help its due in 5 minutes

please help its due in 5 minutes

Answers

Answer: The answer is net B

Step-by-step explanation: If you look at the net it has one rectangle for the base and four triangles for the side. Then when you look at the completed figure the shapes are the same. Also all the other nets have the wrong shapes.

Hope this helps.

(Edit- was lookin at the wrong stuff answer = d lol sorry

If PΔERO = 68 units and ΔERO has ER = x units, RO = 2x units, and EO = 3x units, what is the length of EO?

Answers

Answer:

34 units

Step-by-step explanation:

The perimeter of a triangle is given by the sum of the lengths of its three sides.

So if the perimeter is 68 units and the sides measure x, 2x and 3x, we have that:

x + 2x + 3x = 68

6x = 68

x = 68/6 units

Now with the value of x we can find the length of EO:

EO = 3x

EO = 3 * (68/6)

EO = 68/2 = 34 units

please answer the question on the attachment <3

please answer the question on the attachment &lt;3

Answers

Answer:

3.8 foot

Step-by-step explanation:

with reference angle 31

perpendicular (p)= x

base(b) = 6.3

tan 31 = p/b

0.6 = x/6.3

x = 3.8 foot

Find the value of x in the parallelogram below.

Find the value of x in the parallelogram below.

Answers

Answer:

x = 25

y = 6

Step-by-step explanation:

In a parallelogram, opposite angles are equal.

2x and 50 are opposite angles,

2x = 50

Divide 2 on both sides,

x = 50 / 2

x = 25

In a parallelogram opposite sides are equal.

y + 5 and 11 are opposite sides,

y + 5 = 11

y = 11 - 5

y = 6

Answer:

x=25

y=6

Step-by-step explanation:

from the diagram,

2x= 50(opposite angles of a parallelogram)

2x= 50

dividing bothsides by 2

2x/2=50/2

x= 25

then,

y+5=11(opposite sides of a parallelogram)

y= 11-5

y= 6

pls help

50 points pls don't guess ty

pls help 50 points pls don't guess ty

Answers

Number of steps that he needed to walk to achieve the goal is 3141 steps

The goal of the Jayden = 10000 steps

The number of steps that he walked = \((\frac{1}{19} )^{-3}\) steps

Here we have to convert  the given number of steps to the suitable form for calculation

The number of steps that he walked

\((\frac{1}{19} )^{-3}\) steps = \(19^3\) steps

Find the power of the number

\(19^3\) steps = 6859 steps

Number of steps that he needed to walk to achieve the goal = The goal of the Jayden - The number of steps that he walked

Substitute the value in the equation,

Here we have to sue the subtraction

Number of steps that he needed to walk to achieve the goal  = 10000 - 6859

= 3141 steps

Hence, number of steps that he needed to walk to achieve the goal is 3141 steps

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Each student separately carried out a different number of experiments. Here are their results:

● Student 1: In 4 experiments, they picked a green marble 1 time.

● Student 2: In 12 experiments, they picked a green marble 5 times.

● Student 3: In 9 experiments, they picked a green marble 3 times.

Estimate the probability of getting a green marble from this bag. Write your answer as a fraction.

Answers

The estimated probability of getting a green marble from this bag is 9/25.

The probability of getting a green marble from this bag.

We'll use the information provided on each student's results to calculate the probability.
Student 1: Picked a green marble 1 time in 4 experiments.
Student 2: Picked a green marble 5 times in 12 experiments.
Student 3: Picked a green marble 3 times in 9 experiments.
To estimate the probability, we'll add the number of successful green marble picks (1 + 5 + 3 = 9) and divide it by the total number of experiments (4 + 12 + 9 = 25).
Probability of getting a green marble = (Number of successful picks) / (Total number of experiments) = 9 / 25.

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When multiplying terms with the same sign, we will get a _______ product.
When multiplying terms with different signs, we will get a ________ product

Answers

Answer:

same,different

Step-by-step explanation:

Answer:

positive; negative

Step-by-step explanation:

If a student is multiplying two positive numbers, the answer will always be positive.

  EX: 3 x 4 = 12

The same applies for two negatives. If two negatives are multiplied it will make a positive answer. This is where the phrase "two negatives make a positive" come from.

 EX: -3 x -4 = 12

However, if one number is positive and one is negative, then the answer will always be negative.

  EX 1: -3 x 4 = -12

  EX 2: 3 x -4 = -12

is 5 a solution to 7x-4+x=12? Explain

Answers

Answer:

No, 5 isn't a solution to 7x - 4 + x = 12

Step-by-step explanation:

7x - 4 + x = 12

combine common x-values

8x - 4 = 12

add

8x = 16

solve for x

x = 2

Answer:

No, 5 is not the solution...

Step-by-step explanation:

7x-4+x=12

7x+x=12+4

8x=16

x=16/8

x=2  is the solution

use green's theorem to find the counterclockwise circulation and outward flux for the field f=(7x−4y)i (9y−4x)j and curve c: the square bounded by x=0, x=4, y=0, y=4.

Answers

The counterclockwise circulation around c is 12 and the outward flux through c is zero.

Green's theorem is a useful tool for calculating the circulation and flux of a vector field around a closed curve in two-dimensional space.

In this case,

we have a field f=(7x−4y)i+(9y−4x)j and

a square curve c bounded by x=0, x=4, y=0, y=4.

To find the counterclockwise circulation, we can use the line integral of f along c, which is equal to the double integral of the curl of f over the region enclosed by c.

The curl of f is given by (0,0,3), so the line integral evaluates to 12.

To find the outward flux, we can use the double integral of the divergence of f over the same region, which is equal to zero since the divergence of f is also zero.

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The baker made a batch of chocolate chip, oatmeal raisin, and sugar cookies. if p(chocolate chip) = 18%, interpret the likelihood of randomly selecting a chocolate chip cookie from the batch. a. likely b. unlikely c. equally likely and unlikely d. this value is not possible to represent probability of a chance event.

Answers

Answer: Either Likely or  This value is not possible to represent probability of a chance event.

Step-by-step explanation:

So, if P = Chocolate Chip cookies, it is 68%, its more then a 50/50 percentage so most kids would **probably** choose Chocolate Chip cookies so it could be likely.

Hope this helps!

I Need help ASAP please and Thankyou!!

I Need help ASAP please and Thankyou!!

Answers

Answer:

Step-by-step explanation:

m∠R = 180° - 110° [Linear pair of angles are supplementary]

m∠R = 70°

m∠S = 45° [Vertically opposite angles]

By triangle sum theorem,

m∠P + m∠R + m∠S = 180°

m∠P + 70° + 45° = 180°

m∠P = 180 -115

        = 65°

Therefore, m∠A = m∠P = 65° [Vertically opposite angles]

By triangle sum theorem,

m∠B + m∠S + m∠T = 180°

m∠B + 45° + 65° = 180°

[m∠T = 65°. Since, ∠P and ∠T are corresponding angles]

m∠B = 180° - 110° = 70°

m∠C + m∠B = 180° [Linear pair of angles are supplementary]

m∠C = 180° - 70° = 110°

m∠D + m∠T = 180° [Linear pair of angles are supplementary]

m∠D + 65° = 180°

m∠D = 115°

I Need help ASAP please and Thankyou!!

A local company makes and sells handmade specialty doughtnuts. The cost to make 63 doughnuts per day is $101.5. The daily cost to make 76 doughnuts is $108. Assume that cost, is linearly related to the number of doughnuts the company makes each day. If each doughnut sells for $2, then what is the daily profit when 258 doughnuts are made and sold.

Answers

The cost to make 63 doughnuts per day is $101.5 and the cost to make 76 doughnuts is $108. We need to calculate the cost of producing one doughnut.

Using the given data,

Cost for 76 doughnuts - Cost for 63 doughnuts

= $108 - $101.5

= $6.5Cost per doughnut

= $\frac{6.5}{76-63}$

= $\frac{6.5}{13}$ = $0.5$

Now,

the cost to produce 258 doughnuts is $101.5 + (258 * 0.5) = $230.5.

Daily profit can be calculated by multiplying the number of doughnuts sold with the price of each doughnut, then subtracting the total cost of producing all the doughnuts.

Daily profit = (Number of doughnuts sold) * (Price per doughnut) - (Total cost to produce the doughnuts)

We are given that each doughnut sells for $2 and

we have calculated that the total cost to produce 258 doughnuts is $230.5.Daily profit = (258) * (2) - (230.5)

= $285.5.

Hence, the daily profit when 258 doughnuts are made and sold is $285.5.

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what have i done wrong on question A & B

what have i done wrong on question A &amp; B

Answers

Answer:

You have forgotten to say whether it is am or pm

Step-by-step explanation:

Answer:

Question 1:

A) 12:45 pm

B) 7 : 30 pm

Question 2:

A) 20 15

B) 00 00

Fill in the missing fraction: Do not reduce your answer. What is 10/12 plus blank equals 16/12​

Answers

Answer:

The missing fraction is 6/12

(you can further simplify this but the question requires that you don't do that)

Step-by-step explanation:

To add fractions easily, their denominators should have the same value, so the denominator should be 12,

Then, to get 16 in the numerator, we need to find a number that on adding to 10, gives 16, or,

10 + x = 16

x = 16 - 10

x = 6

So, the numerator should be 6

so we get the fraction, 6/12

We can also solve it in an alternate way,

\(10/12 + x = 16/12\\x = 16/12 - 10/12\\x = (16-10)/12\\x = 6/12\)

set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line.

Answers

This integral represents the sum of the volumes of all the infinitesimally thin cylindrical shells that make up the solid.

To set up the integral for the volume of the solid obtained by rotating the region bounded by the curves y = x, y = 0, and x = 4 about the line x = 8, we can use the method of cylindrical shells.

First, let's draw a rough sketch of the region and the axis of rotation:

```

|

|

|       +-----------+

|       |           |

|       |           |

|       |           |

|       |           |

|       +-----------+ <-- x = 4

|       |

|       |

|       |

|       |

|       |

|       |

|       |

|       |

+------------------------ <-- x = 8

```

The region bounded by y = x, y = 0, and x = 4 is a triangle with a right angle at the origin.

To set up the integral, we consider an infinitesimally thin cylindrical shell with radius r, height h, and thickness Δy. The volume of this shell can be approximated as the product of its circumference, height, and thickness.

The radius of the shell, r, is the distance from the axis of rotation (x = 8) to the curve y = x. Since x = y for the region, r = 8 - y.

The height of the shell, h, is the difference between the x-values at the top and bottom of the region. In this case, h = 4 - 0 = 4.

The thickness of the shell, Δy, represents an infinitesimally small change in the y-direction.

Therefore, the volume of the shell is approximately given by V_shell = 2πr * h * Δy.

To find the total volume, we integrate this expression over the range of y-values that span the region. In this case, the integral is set up as follows:

∫[0, 4] 2π(8 - y) * 4 * dy

This integral represents the sum of the volumes of all the infinitesimally thin cylindrical shells that make up the solid. By evaluating this integral, you can find the exact volume of the solid obtained by rotating the region bounded by y = x, y = 0, and x = 4 about the line x = 8.

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Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x, y = 0, X = 4; about x = 8 2 (8 - y2)2 – 16 dy 0

a study measuring the effects of a new diuretic medication records hourly urine output of subjects. this measure represents which level of measurement? group of answer choices ratio interval nominal ordinal

Answers

When measuring the effects of a new diuretic medication, hourly urine output represents the ratio level of measurement.

What is ratio level of measurement?

Ratio level of measurement is a type of measurement that features a true zero point, meaning that the value 0 represents the absence of the characteristic being measured.

Some examples of ratio level measurements include weight, height, length, distance, speed, and many others. In this case, the hourly urine output of subjects is measured to determine the effects of a new diuretic medication.

The hourly urine output is a ratio measurement because it has a true zero point, which is the absence of urine output. In other words, if there is no urine output, the value would be 0, which represents the absence of the characteristic being measured.

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a rectangle has an area of 58.5centimeter square and it is 4.5meter wide find the length​

Answers

Answer:

0.13 cm ( as question was posted)

13 cm ( if width was in centimeters)

Step-by-step explanation:

a = lw

4.5m = 450cm

Plug in the knowns

58.5 = l(450)

Divide both sides by 450

0.13 = l

length is 0.13 cm

----------------------------

I did the qustion as you posted it.

If you intended 4.5 centimeters instead of 4.5 meters then

58.5 = l(4.5)

divide both sides by 4.5

l = 13 cm

What is one advantage of installing a copper wire twisted-pair cable versus a fiber optic cable?

Answers

One advantage of installing a copper wire twisted-pair cable versus a fiber optic cable is the lower cost.

Why is the cost of copper wire twisted-pair cable lower compared to fiber optic cable?

The cost advantage of copper wire twisted-pair cable over fiber optic cable stems from several factors. Firstly, the materials used in copper wire cables are less expensive than the specialized materials used in fiber optic cables.

Copper wire is readily available and widely used in various industries, resulting in lower production costs. Fiber optic cables, on the other hand, require the use of costly materials such as glass or plastic fibers, which need to be carefully manufactured to ensure optimal performance.

Additionally, the installation and maintenance of copper wire cables are generally more straightforward and less expensive compared to fiber optic cables.

Copper cables can be easily terminated and connected using standard connectors, while fiber optic cables require more precise fusion splicing or mechanical connectors, which can increase installation costs.

Copper wire cables are a popular choice for short-distance communication due to their cost-effectiveness.

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The set B= (1+², 21-1², 1+t+1²) is a basis for P₂. Find the coordinate vector of p(t)= -7+12t-14t² relative to B. [P] = (Simplify your answer.)

Answers

The coordinate vector of p(t) = -7 + 12t - 14t² relative to the basis B = (1 + t², 2 - t², 1 + t + t²) is [-7, 12, -14].

What is the coordinate vector of p(t) relative to the basis B?

To find the coordinate vector of p(t) relative to the given basis B, we need to express p(t) as a linear combination of the basis vectors. The coordinate vector represents the coefficients of the linear combination.

The basis B consists of three vectors: (1 + t², 2 - t², 1 + t + t²).

We want to find the coefficients that satisfy p(t) = c₁(1 + t²) + c₂(2 - t²) + c₃(1 + t + t²), where c₁, c₂, and c₃ are the coefficients to be determined.

Comparing the coefficients of each term, we have:

-7 = c₁

12t = -c₁t² + c₂t² + c₃t

-14t² = c₁t² - c₂t² + c₃t²

Simplifying these equations, we find:

c₁ = -7

12 = (c₂ - c₁)t

-14 = (c₃ - c₁)t²

From the first equation, we obtain c₁ = -7.

Substituting this value into the second equation, we get 12 = (c₂ + 7)t. Thus, c₂ = 12/t - 7.

Similarly, substituting c₁ = -7 into the third equation, we get -14 = (c₃ + 7)t², which gives us c₃ = -14/t² - 7.

Therefore, the coordinate vector of p(t) relative to the basis B is [-7, 12/t - 7, -14/t² - 7].

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Past records from a factory producing electronic components show that on average, new employees can assemble N(I) components per day after / days of training, where N(t) = 75t 120 Sketch the graph of N on the first quadrant, and include the intercepts and asymptotes. What happens to N(1) as t -> co? What does this mean in practical terms?

Answers

The graph of N(t) = 75t + 120 is a straight line with a positive slope of 75. It intersects the y-axis at (0, 120) and has a y-intercept of -8/5. As t approaches infinity, N(t) increases without bound, indicating a positive relationship between the number of days of training and the average number of components assembled per day.

To sketch the graph of N(t) = 75t + 120, we can plot points on the coordinate plane by substituting different values of t into the equation.

For example, when t = 0, N(0) = 75(0) + 120 = 120. So, we have the point (0, 120).

When t = 1, N(1) = 75(1) + 120 = 195. So, we have the point (1, 195).

We can continue to calculate more points using different values of t.

The intercept is when N(t) = 0:

0 = 75t + 120

-120 = 75t

t = -120/75

t = -8/5

So, we have the intercept (0, -8/5).

To find the asymptote, we need to check what happens to N(t) as t approaches infinity. As t becomes larger and larger, the constant term 120 becomes less significant compared to the term 75t. Therefore, as t approaches infinity, N(t) approaches infinity as well.

In practical terms, this means that as the number of days of training (t) increases, the average number of components assembled (N) per day also increases. However, it is important to note that this is based on past records and the actual performance of new employees may vary. The equation provides an average trend and does not account for individual variations or other factors that may affect productivity.

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Please help me! Please explain thanks!

Please help me! Please explain thanks!
Please help me! Please explain thanks!

Answers

Answer:

Measure of side a: 3

Measure of side b: 4

Measure of side c: 5

Side a/c: 3/5

Side b/c: 4/5

Side a/b: 3/4

Step-by-step explanation:

Answer:

Answer
See answers below

I hope this helps you

:)

Please help me! Please explain thanks!

Find all the zeros of the given function. State the multiplicity (If larger than 1)

#1. g(x)=2x^4 + 15x^3 - 17x^2 - 159x + 63

#2. h(x)=x^4 + 3x^3 + 8x^2 + 28x + 32

Answers

Answer:

#1. The zeros of the function g(x) are −3/2, 1, and 3 (all with multiplicity 1).

#2. The zeros of the function h(x) are −1 and −2 (both with multiplicity 2).

Other Questions
A group of students is investigating whether the smoothness of a surface affects the force of friction. Each student pushes a book on two different surfaces. One surface is ice and the other is concrete. The distance traveled by the book on each surface is shown.Experimental ObservationsStudent 1 Student 2 Student 3 Student 4Distance traveled by book on ice 23 cm 21 cm 24 cm 22 cmDistance traveled by book on concrete 15 cm 18 cm 16 cm 17 cmBased on the table, which conclusion is correct about the average distance traveled?A. It is less on concrete. B.It is greater on concrete. C.It is less when the book is pushed harder.D. It is independent of the type of surface. Summarize What factors enabled the Spanish to conquer the Aztecs? The First Amendment protects the right to assemble, but that right is limited. Which form of assembly is NOT protected?A. paradesB. protest marchesC. riotsD. political rallies 1. When Malala went to the dump to throw their rubbish away, she saw several children. What did Malala's dad say they were doing? (Ch. 3)causing troublespray painting buildingshelping to support their familysleeping to encourage people to cancel illegal contracts, courts will allow a person who rescinds such a contract before any illegal act has been performed to recover any consideration that he has given. select one: true false the manipulated variable in this experiment is the a) type of antacidb) amount of antacid usedc) time it takes for the reaction to occurd) temperature at which the reaction occurs Using the nerve signals to the hamstring and quadriceps in this reflex as an example, propose a model for regulation of smooth muscle activity in the esophagus during the swallowing reflex (see Figure 41.10). f(s) = 3s + 2p(s) = s + 4sFind (f p)(-5) A triglyceride that loses a fatty acid is called a ____. Anneliese is an HR manager at Fisher Corporation. One Friday, she conducts a game for the employees, where she explains a situation that involves feelings and emotions. One person has to act out the given situation in a way that another employee is able to understand what type of emotion the first employee is exhibiting. In this scenario, how do the participants communicate emotions and feelings The beginning capital balance is $5,000; there are no additional investments or withdrawals by the owner during the accounting period. The period's revenue is $1,600 and expenses total $1,700. What is the ending capital balance (after closing entries) The september birthdays will be celebrated at the party didy kong is hosting como se encuentra el de b de la funcion f(x)=ax^(2)+bx+c In most microeconomic models, a decision maker? a. maximizes an objective subject to a constraint. b. faces no constraints. c. has no clearly defined objective. d. both b and c. which direction does the gradient v point in the direction of maximum increase or maximum decrease in v I have an event i need to attend but i am hearing impaired. do you also provide captions externally as well as tutors internally? sterling associates specializes in advising clients on it projects and information systems development. marketing is creating a brochure for prospective new clients, and they want you to develop a section that describes payback analysis, roi, and npv in simple terms and mentions the pros and cons of each financial analysis tool. how would you describe each one including pros and cons? when in rehearsal, what is the "first run-through" of a play commonly known as? _________________ was the first astronomer to make telescopic observations which demonstrated that the ancient Greek geocentric model was false. Analyze Point of View Why was religious tolerance an important issue for the early settlers?