What is the volume of the following triangular prism?

What Is The Volume Of The Following Triangular Prism?

Answers

Answer 1

The required volume of the triangular prism will be 126 cubic meters.

What is the volume of a triangular prism?

The triangular prism is the amount of space occupied by an object. It is determined by the number of unit cubes required to completely fill the solid.

V = 1/2 x H x W x L

The volume of the triangular prism will be

Volume of triangular prism = 1/2 x 9 x 6 x 13

Volume of triangular prism = 9 x 3 x 13

Volume of triangular prism = 27 x 13

Volume of triangular prism = 351 cubic yards

Thus, the volume of the triangular prism will be 126 cubic meters.

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Related Questions

if a situation is repeated again and again, the observed proportion of successful outcomes will tend to approach the theoretical probability that any one of the outcomes will be a success

Answers

The outcome of this question is determined by the number of alternative possibilities and their probability.

If there are only two conceivable outcomes, one of which is success and one of which is a failure, the theoretical chance of success is 50%. The theoretical probability of success is the sum of the probabilities of the two successful outcomes if there are three alternative outcomes.

If you know anything about probability, you're undoubtedly aware that the theoretical likelihood of any given result occurring in a given circumstance is always the same. Finally, the theoretical likelihood that any of the outcomes will be successful if a circumstance is repeated is the sum of the probabilities of each successful outcome divided by the entire number of alternatives.

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The correct question is-

What is the theoretical probability that any one of the outcomes will be a success if a situation is repeated again and again?

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write a formula for f, the specific antiderivative of f. (remember to use absolute values where appropriate.) f(u)

Answers

The formula for f , the specific antiderivative of f  is F(u) = 4㏑(u) + u²/2 + 11/2  .

In the question ,

it is given that ,

the function f(u) is f(u) = 4/u + u and f(1) = 6 ,

to find the antiderivative of f , we integrate it with respect to u ,

∫f(u) = 4∫(1/u)du + ∫u.du

On integrating ,

we get ,

F(u) = 4㏑(u) + u²/2 + c      ......equation(1)

Substituting the value of u = 1 in equation(1) ,

we get ,

F(1) = 4㏑(1) + 1/2 + c

6 = 0 + 1/2 + c

c = 6 - 1/2

c = 11/2 .

Now , substituting the value of c = 11/2 in equation(1) , we get

F(u) = 4㏑(u) + u²/2 + 11/2

Therefore , the formula for f is F(u) = 4㏑(u) + u²/2 + 11/2 .

The given question is incomplete , the complete question is

Write a formula for f, the specific antiderivative of f.  

f(u) = 4/u + u ; F(1) = 6  .

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find the probability of choosing a letter other than the letter a from a bag that contains the fifteen letters of the indian city palasa kasibugga. express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

Answers

The probability of choosing a letter other than the letter a from a bag that contains the fifteen letters of the Indian city Palasa Kasibugga is 11/15.

According to the question,

We have the following information:

Words are:

Palasa Kasibugga

Now, total number of letters = 15

Number of a in these words = 4

Number of letters other than a = 11

We know that the following formula is used to find the probability of an event:

Probability = Number of favorable outcomes/total number of outcomes

Probability = 11/15

Hence, the probability of choosing a letter other than the letter a from a bag that contains the fifteen letters of the Indian city Palasa Kasibugga is 11/15.

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the minute hand of a clock is 6 inches long. how far does the tip of the minute hand move in 15 mintue?

Answers

The length of the minute hand is stated as r=6 inches. We are aware that the minute hand will create a 90° angle in 15 minutes. The measurement is 9.4248 inches as a result.

What is an angle?

An angle is a shape made up of two rays that share an endpoint and is known as the vertex of the angle. These rays are known as the sides of the angle. The plane that contains the rays contains the angles created by two rays. The meeting of two planes can also result in an angle. They are referred to as dihedral angles.

The orientation of a line with another line or plane is represented by its angular position. How far the body has been rotated from the reference position is used to measure angular position.

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the length of a model ship is 8 in its actual length is 100 ft what is the scale of the model

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The scale of the model when the length of a model ship is 8 in its actual length is 100 ft is 1:150.

What is a scale?

The term scale is used in mathematics to represent the relationship between a measurement on a model and the corresponding measurement on the actual object. Maps and blueprints would be useless without scales. A scale factor is defined as the ratio of the scale of a given original object to the scale of a new object that is its representation but of a different size.

From the information, the length of a model ship is 8 in its actual length is 100 ft

It should be noted that;

1 foot = 12 inches

Therefore, 100 feet will be:

= 100 × 12

= 1200 inches

Therefore, the scale will be:

= 8/1200

= 1/150

= 1:150

The scale is 1:150.

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a rectangular tank that is 5234 ft^3 with a square base and open top is to be constructed of sheet steel of a given thickness. find the dimensions of the tank with minimum weight.

Answers

As per the volume of the rectangular tank, the dimensions are 13.78 x 379.82 x 13.78

Volume of rectangle:

The general formula to calculate the volume of the rectangle is

V = length x width x height.

Given,

A rectangular tank that is 5234 ft^3 with a square base and open top is to be constructed of sheet steel of a given thickness.

Here we need to find the dimensions of the rectangular tank,

As per the given volume of rectangular tank, when we equate this with the formula, then we get,

=> 5234 = length x width x height.

Let us consider the length and the width are equal then we get the value of height as.

=> height = 5234/length

So, the value is calculated by using the surface area formula,

=> A = length² + 5234/length

When we differentiate the surface area with respect to

=> dA/dl = 2l - 5234/l²

To minimize the surface area, so dA/dl = 0,

=> 2l = 5324/l²

=> 2l³ = 5234

=> l³ = 2617

=> l = ∛2617

Therefore, the value of length is 13.78

Then the height is calculated as.

=> h = 5234/13.78 = 379.82

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if the radius of a circle is 8 inches. What is the circle's area?

Answers

The circle's area is 200.96 square inches.

What is the area?

A two-dimensional figure's area is the amount of space it takes up. In other terms, it is the amount that counts the number of unit squares that span a closed figure's surface. In general, square units such as square inches, square feet, etc. are used as the standard unit of area.

Any round form without edges or line segments is called a circle. In geometry, it has the shape of a closed curve.

radius, r =  8 inches

Area of a circle:

A = π r²

  = 3.14 * 8²

  = 200.96 square inches

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2
52
3
5
4
47°
W
m/1 =
m/2 =
m/3=
m/4=
m25 =

Answers

Answer:55.9074

Step-by-step explanation:

What is 3 divided by 80?

Answers

Answer: 3/80 = 0.0375

2. Theodore is writing the program for a video game. For one part of the game, he uses the rule (x, y) à (x + 4, y – 2) to move points on the screen. (a) What output does the rule give when the input is (7, -7)? Show your work. (b) What output does the rule give when the input is (-2, 0)? Show your work. (c) Is the rule a function? Explain why it is or why it is not.

Answers

Answer:

Step-by-step explanation:

Camden found a bike on sale for $121. The sale was 45% off. How much money did Camden save on the bike because of the sale?

Answers

camden saved 54.45 on the bike

every rational number has a decimal expansion, so we could apply this same argument to show that the set of rational numbers between 0 and 1 is uncountable. however, because we know that any subset of q must be countable, the proof of theorem 1.6.1 must be flawed.

Answers

Every rational number can be expressed in decimal form. This argument cannot be used to demonstrate that rational numbers between 0 and 1 are countable. We frequently use this fact to demonstrate that rationals are countable since every rational number has a decimal representation that terminates on a non-teminating repeating sequence.

Rational number:

P/Q is the format for rational numbers, where p and q are open-ended integers and q 0. Thus, natural numbers, whole numbers, integers, fractions of integers, and decimals are all examples of rational numbers (terminating decimals and recurring decimals). The word "ratio" is where the word "rational" first appeared. Rational numbers are therefore closely tied to the idea of fractions, which stand for ratios. In other terms, a number is a rational number if it can be written as a fraction in which the numerator and denominator are both integers.

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One measure of an angle in a triangle is 96°. The other two angle measures are represented by 2x and x + 12. Determine the other two degree measures for the missing angles

Answers

Answer:

Step-by-step explanation:

Measure of one angle= 96

one angle= 2x

other angle= x + 12

By using angle sum property, we know that sum of all angles in a triangle is 180 degree.

so,

96 + 2x + x+12 = 180

108 + 3x = 180

3x = 180 - 108

3x = 72

x = 72/3

x = 24

So,

one angle (2x) = 2 * 24

                        = 48

other angle ( x + 12 ) = 24 + 12

                                  = 36

Hence, the other two degree measures for the missing angles is [tex]36[/tex].

What is the angles?

Angles are an integral facet in the study of mathematics, particularly geometry. Angles are formed by two rays (or lines) that begin at the same point or share the same endpoint.

The point at which the two rays meet (intersect) is called the vertex.

Here given that,

One measure of an angle in a triangle is [tex]96[/tex] degree. The other two angle measures are represented by [tex]2x[/tex] and [tex]x + 12[/tex].

So,

Measurement of one angle= [tex]96[/tex] degree

One angle= [tex]2x[/tex]

Other angle= [tex]x + 12[/tex]

As we know that sum of all angles in a triangle is [tex]180[/tex] degree.

So,

[tex]96 + 2x + x+12 = 180\\\\108 + 3x = 180\\\\3x = 180 - 108\\\\3x = 72\\\\x = \frac{72}{3}\\\\x = 24\\\\[/tex]

So,

One angle  is

[tex](2x) = 2 (24)\\=48[/tex]

Other angle is ( x + 12 ) = 24 + 12

[tex]( x + 12 ) = 24 + 12\\=36[/tex]

                           

Hence, the other two degree measures for the missing angles is [tex]36[/tex].

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If Amy is tardy, then she will get a detention

Consider the INVERSE of this statement. What is the TRUTH VALUE of the INVERSE?

PLEASE THIS IS DUE IN 2 MINUTES

Answers

Answer:

Step-by-step explanation:

o

The answer is is “ then “

The effectiveness of a blood-pressure drug is being investigated.
An experimenter finds that, on average, the reduction in systolic blood pressure is 55.8 for a sample of size 29 and a standard deviation 7.9.
Estimate how much the drug will lower a typical patient's systolic blood pressure (using a 90% confidence level).
Assume the data is from a normally distributed population.
Answer as a tri-linear inequality accurate to 3 decimal places.

Answers

A tri-linear inequality for the estimate of the drug that would lower a typical patient's systolic blood pressure (using a 90% confidence level) is; 53.3   ≤  x-bar  ≤  58.3.

Explain the term tri-linear inequality?Equal does not imply inequality. Tri signifies three. The range is defined in terms of inequalities by the tri-linear inequality.

For the stated question-

Average of reduction in systolic blood pressure μ = 55.8.

Standard deviation s = 7.9.

Sample of size n = 29

The confidence interval is estimated as-

μ - t₀.₀₅(s/√n)  ≤  x-bar  ≤  μ + t₀.₀₅(s/√n)

Put the values-

55.8 - t₀.₀₅(7.9/√29)  ≤  x-bar  ≤  55.8 + t₀.₀₅(7.9/√29)

On simplifying,

53.3   ≤  x-bar  ≤  58.3

Thus, a tri-linear inequality for the estimate of the drug that would lower a typical patient's systolic blood pressure (using a 90% confidence level) is; 53.3   ≤  x-bar  ≤  58.3.

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Cuál es la suma de 10 y -3​

Answers

-6 creo que esa es la respuesta

Answer: -6

Step-by-step explanation:

You're welcome I'm not sure if it corrects correct, but this is my answer

two half-cylinders of diameter 2 meet at a right angle in the accompanying figure. find the volume of the solid region common to both half-cylinders. (hint: consider slices parallel to the base of the solid.)

Answers

The volume of the solid region common to both cylinder is 8/3 when two half-cylinders of diameter 2 come together at a right angle.

Given that,

In the following figure, two half-cylinders of diameter 2 come together at a right angle.

We have to determine the solid region's common volume for the two half-cylinders. (Hint: Take into account slices that are parallel to the solid's base.)

We know that,

Using the Pythagoras theorem,

S²+x²=r²

Diameter=2

2r=2

r=1

S²+x²=1

S²=1-x²

S=√(1-x²)

[tex]\int\limits^1_0 {Area(x)} \, dx[/tex]

4[tex]\int\limits^1_0 {1-x^{2} } \, dx[/tex]

4(x-x³/3)₀¹

4(1-1/3)

4(2/3)

8/3

Therefore, The volume of the solid region common to both cylinder is 8/3 when two half-cylinders of diameter 2 come together at a right angle.

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what are the degrees of freedom used to test the significance of the slope in a simple linear regression equation? multiple choice n − 1 n − 2 n − 1, n − 2 (n − 1)(n − 2)

Answers

The degrees of freedom used to test the significance of the slope in a simple linear regression equation is n-2.

The maximum number of logically independent, or potentially different, values in the sample of data is referred to as the degree of freedom.

The degree of freedom is a fundamental concept that can be found throughout statistics in a variety of contexts, such as with hypothesis tests, probability distributions, and linear regression.

The degrees of freedom are n−k, however, in simple linear regression you estimate both a y-intercept and a slope, so k=2. Even though we generally don't worry about testing the intercept, it still uses up a degree of freedom, the slope would be very different and have a very different interpretation if we did not estimate an intercept along with the slope.

When we put the value of k=2 we get degrees of freedom are n-2.

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let ϕ : g → h be a homomorphism. (a) show that if h is abelian and ϕ is one-to-one, then g is abelian. (b) show that if g is abelian and ϕ is onto, then h is abelian. (c) if ϕ is an isomorphism, show that g is abelian if and only if h is.

Answers

When Ф(b)Ф(a) = Ф(ba) , then  Ф is an isomorphism G is abelian

Let ϕ:G→H be an isomorphism.

If G is abelian, we have xy = yx , for any x,y ∈ G. Consider any two element in H , say c and d . Since Ф is an isomorphism , we have c = Ф(a) and d = Ф(b) for some a,b ∈ G . Hence,

cd = Ф(a)Ф(b) = (ab) =Ф(ba)

=Ф(b)Ф(a) =  dc

This means H is an isomorphism.

If H is abelian, we have xy = yx, for any x,y ∈ H. Now consider two elements in G , say a and b .Since Ф is mapping , we have c = Ф (a) and d = Ф(b) for some c,d ∈ H. Hence ,

Ф(ab) = Ф(a)Ф(b) = cd = dc

= Ф(b)Ф(a) = Ф(ba)

Since,  is an isomorphism , we have ab = ba ,

This means G is also abelian  

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O A circle has a diameter of 8 meters. Find the approximate area of the circle. Use 3.14 for pi.​

Answers

Answer:

The approximate area of the circle is:

50.24m²

Step-by-step explanation:

Circle area = 3.14 * (diameter/2)²

In this case:

Circle area = 3.14 * (8/2)²

Circle area = 3.14 * 4²

Circle area = 3.14 * 16

Circle area = 50.24 meters²

Find the absolute extrema for the given function on the interval [15.6, 19.2). Write your answer in the form (x.f(x)). Round your answers to two decimal places. f(x) = In (12x^2 - 11x + 2)
Absolute Minimum: Absolute Maximum

Answers

the absolute extrema of the linear equation f(x) =  12x^2 -11x +2 are 27 (absolute maximum) for x = - 8 and - 9 (absolute minimum) for x = 4. (- 8, 27) and (4, - 9).

What are the absolute extrema of a linear equation within a closed interval?

According to the functions theory, linear equations have no absolute extrema for all real numbers, but things are different for any closed interval as absolute extrema are the ends of linear function. Now we proceed to evaluate the function at each point:

Absolute maximum

f(- 8) =   12x^2 -11x +2

f(- 8) = 27

Absolute minimum

f(4) = - 3 · 4 + 3

f(4) = - 9

By means of functions theory and the characteristics of linear equations, the absolute extrema of the linear equation f(x) = 12x^2 -11x+2  are 27 (absolute maximum) for x = - 8 and - 9 (absolute minimum) for x = 4. (- 8, 27) and (4, - 9).

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a scale drawing of an office space uses a scale of 1 in. : 6 yd. the scale drawing has an area of 6 square inches. what is the area of the actual office space?

Answers

The area of the actual office space is 36 yards if the scale is 1:6 yards.

An item is enlarged in a scale drawing. An expansion increases or decreases the size of an item by multiplying each of its lengths by a scale factor. A scale of 1:5, for instance, indicates that the size of 1 unit in the picture corresponds to the size of 5 units in the actual world.

The scale of office space is 1:6 yards. The scale drawing has an area of 6 square inches. This means that 1 scale represents 6 square inches of office. For the actual area multiply 6 by the area of the scale drawing which will give 36 yards.

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9. You Be the Teacher Is your cousin
correct? Explain.
4
MTR
14
X 0.82
28
+ 1120
1148

Answers

Nope incorrect
The first part is right but the next part is wrong

is the area of a circle directly proportional to the square of the radius. a circle with a radius of 10 has an area of 314. what will the are be on a circle of radius 4

Answers

The area of a circle with radius 4 is 50.24.

Writing the equation form for area and radius of two circles -

(Area/radius²) for circle 1 = (Area/radius²) for circle 2

Keep the values in the relation to find the area of small circle.

314/10² = Area/4²

Area = (314 × 16)/100

Performing multiplication on Right Hand Side of the equation to find the area of circle

Area = 5024/100

Performing division on Right Hand Side of the equation to find the area of circle

Area = 50.24

Hence, we see the decrease in area based on decrease in radius. Thus, the area of circle is 50.24.

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Rewrite 4/6 : 1/3 as a unit rate

A. 2:1
B. 2:9
C. 12:9
D. 12:6

Answers

Answer: 2/1 should be your answer

Step-by-step explanation:

4 x 3= 12/6

1 x 3= 3/3

12 divided by 2 = 2  3 divided 3= 1

2/1

9. a baseball team has a total of 18 pitchers. the ratio of right-hand pitcher to total number of pitchers is 5:6. how many left-hand pitchers does the team have?

Answers

The number of Left Hand pitchers that the team have is 3 .

In the question ,

it is given that ,

the total number of pitchers in the baseball team is = 18

and the ratio of right hand to total pitchers is = 5 : 6

we have to find the number of left hand pitchers that the base ball team have .

From the ratio, the total number of pitchers is = 6x ,

and number of right hand pitchers = 5x ,

So , the number of left hand pitchers = x ,

that means , 6x = 18

Simplifying further ,

we get ,

x = 3,

Therefore , there are 3 left hand pitchers .

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Butterfly is 3 times Blossom's age. In 5 years, Butterfly will be 2 times Blossom's age. How old is Blossom now?

Answers

The new only law is to allow the government to use the money to pay for a legal settlement

a parabola has one x-intercept at (– 4, 0). if the vertex is at (2, 5), find the other x-intercept.

Answers

The equation of the parabola is  y -5 = (5/6) (x - 2)^2

How do you define a parabola?

a curve produced by the intersection of a cone's surface with a plane perpendicular to a straight line; a curve produced by a moving point whose distance from a fixed point is equal to its distance from a fixed line.

What is the parabola on a graph?

A quadratic function's U-shaped curve is shown on a parabola graph. A right circular cone and a plane surface intersect to form one of the conic sections known as a parabola in mathematics. The plane is symmetrical. U-shaped bend

y - k = a (x - h)2

where the vertex is (h,k). Since the vertex is known to be at (7,-3), we know that h = 7 and k = -3. Consequently, the equation is

y -5 = a (x - 2)2

We utilize the fact that the parabola passes through point to determine a for (4,0). With x =- 4 and y = 0, we obtain

0 - 5 = a (-4 - 2)

-5 = a (-6)2

-5 = -6a

a = 5/6

Consequently, the parabola's equation is

y -5 = (5/6) (x - 2)^2

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bag contains 9 real diamonds and 5 fake diamonds. if 9 diamonds are picked from the bag at random, what is the probability that all of them are real?

Answers

The probability that all of them are real is 0.01875 or 1.875%

If the diamonds are replaced after each draw:

The probability of drawing a real diamond is 9/14, found by making the numerator the number of real diamonds and adding the total number of diamonds to find the denominator. 5+9 = 14.

To find the probability of all 9 diamonds drawn being real, multiply 9/14 by itself 9 times.  = 387420489/ 20661046784. This creates a probability of 387420489/ 20661046784. This cannot be reduced because there is no common factor. To express as a decimal, divide. 387420489/ 20661046784 = 0.01875. To turn this into a percent, multiply by 100. 0.01875*100 = 1.875

Hence, the probability that all of them are real is 0.01875 or 1.875%

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A 2. 8 kg rectangular air mattress is 2. 00 m long, 0. 500 m wide, and 0. 100 m thick. What mass can it support in water before sinking?.

Answers

The mass that can rectangular air mattress can support in water before sinking is 97.2 kg

Consider the rectangular air mattress

The length = 2 meter

The width = 0.500 meter

The thickness = 0.100 meters

The volume = Length × width × thickness

The volume = 2 × 0.500 × 0.100

= 0.1 cubic meters

We know,

Total weight = Volume × Density × g

The density of water = 1000 kg/ meter square

Total mass = 0.1 × 1000 × 9.81

= 981 N

The the equation of mass will be

(2.8 + m) × 9.81 = 981

2.8 + m = 100

m = 100 - 2.8

m = 97.2 kg

Therefore, it will support 97.2 kg water before sinking

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Suppose that you have data recording the body weight and the running speed for each of several different jackrabbits. To summarize this data, it suffices to note the mean and SD for each of these two variables. a. True b. False ricard, an engineer, supervises the construction of a new mountainside roadway. the road collapses in a landslide due to faulty grading. motorists injured in the collapse sue ricard in a tort action for negligence. under that theory, as a professional, ricard is held to the same standard of care as many europeans and americans believed during this era of imperial colonialism that it was "the white mans burden" to civilize and christianize the "black, brown and yellow" people of the world. in reality it was to exploit their natural resources and labor and have them as captive markets for western products. do we still see this today? jamie and fred are meeting sarita at her house. jamie must use the crosswalk in front of freds house to cross the street. what is the total distance jamie must walk to get to saritas house . a pregnant woman has come to the emergency department with complaints of nasal congestion and epistaxis. what action by the nurse is best? After Terry lost a finger in an industrial accident, the area of his sensory cortex devoted to receiving input from that finger gradually became very responsive to sensory input from his adjacent fingers. This best illustratesA. phrenology.B. neurogenesis.C. plasticity.D. tomography. the sequence of the coding strand of a dna molecule (that is, the dna strand that contains the codons specifying the protein sequence) is 5'-cggatgctta-3'. what is the sequence of the rna made from this dna? What is 375 grams of a 12% solution? for question 44 is f(2pi/4) a positive or a negative numberPlease help a nurse observes a new nurse graduate exit a clients room who has a confirmed diagnosis of clostridium difficile. the newly nurse graduate uses alcohol-bases cleanser to perform hand hygiene and enters another clients room. what action is required as a responsibility of the observing nurse? What is the fastest motion that can be measured in any frame of reference? (1 point). Jaxson has a collection of 280 coins. How many coins represent 20% of his collection?. a scrum team is experiencing a growing list of impediments. which techniques would most be helpful in this situation You need to configure the FastEthernet 0/1 interface on a switch to automatically detect the appropriate link speed and duplex setting by negotiating with the device connected to the other end of the link.Drag the command on the left to the approbate configuration step on the right to accomplish this. Not all of the commands may be requiredEnter global configuration modeconf tEnter interface configuration modeint fa0/1Set speed of the interfacespeed autoSet the duplex setting for the interfaceduplex auto A full grain silo empties at a constant rate. write an expression to determine the amount of grain left after s secondsRate ; 3.5ft 3/sCapacity ; 3000ft3 unearned revenue, an operating liability, arises when a company receives cash before any goods are delivered or services are rendered. select one: true false breeze inc. receives payment of $800,000 for 4 wind turbines that were delivered and invoiced on credit in the previous month. how would this receipt impact the accounting equation of breeze inc.? select all that apply. Seventy-five-year-old Sandra is very involved in various social activities, enjoys gardening, volunteers for several organizations, and enjoys spending time with her grandchildren. She is happy and healthy. Sandra's lifestyle supports _____ theory. long-term potentiation may be involved in long-term memory. choose all of the following that are molecular changes that occur in long-term potentiation. multiple select question. a decrease in the number of nmda receptors entrance of calcium into the dendrite binding of glutamate to nmda receptors the release of nitric oxide which triggers more glutamate release you work for a large company as the it administrator. with the many external attacks being perpetrated in the form of security breaches, you are concerned that your windows 11 computers may be vulnerable. you also want to ensure that windows is using the latest features.