Please answer this question with decent explanation. Thank you.

Please Answer This Question With Decent Explanation. Thank You.

Answers

Answer 1

Answer:

15.966

Step-by-step explanation:

a/sinA=b/sinB

12/sin37⁰=x/sin53⁰

cross multiply ;

12sin53⁰=xsin37⁰

9.58=0.60x

x=15.966


Related Questions

Explaining the Error in a Propo
A student uses the ratio of 4 oranges to 6 fuld ounces
find the number of oranges needed to make 24 fluid
ounces of juice. The student writes this proportion:
24
4
=
6 16
Explain the error in the student's work.

Answers

Answer:

16

Step-by-step explanation:

The student uses the ratio of 4 oranges to 6 fluid ounces.

When there are 24 fluid ounces, the number of oranges will be:

= 4/6 × 24

= 16 oranges

Dina's mother is four times older than Dina. Dina is 35 years younger than her father. Dina's father was 5 years older than Dina's mother when Dina was born. How old is Dina now?

Answers

Answer:

10 years old

Step-by-step explanation:

Let m = mother's age

Let f = father's age

Let d = Dina's age

m = 4d               d = f-35                f = m+5

Substitute the middle equation in to the first equation

m = 4(f - 35) Use the distributive property

m = 4f - 140 subtract 4f from both sides

*m -4f = -140

In equation 3 above, subtract m from both sides  to get

f = m+5

f - m = 5  rearrange so that the  m term is first

*-m + f = 5  

Now add the equations together that have *

m -4f = -140

-m + f = 5

     -3f = -135  Divide both sides by -3

f = 45  This is the father's age.  To find Dina's age, plug 45 into the second equation above:

d = f -35

d = 45 -35

d = 10.

To find the mom's age, use the third equation:

f = m+5

45 = m + 5

40 = m

You can check this by plugging the answers you found and you can see that all three equations are solved.

m = 4d                        d = f - 35                 f = m + 5

40 = 4(10)                    10 = 45 - 35            45 = 40 + 5

40 = 40                       10 = 10                     45 = 45

Find a28 of the arithmetic sequence given a1=1 and d=-9

Answers

The a28th term of a arithmetic sequence is -242.

According to the statement

We have given that :

a1 = 1 and d = -9. And by use of it we have to find the value of the a28th term in the arithmetic sequence.

So, arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

And the formula is

an = a1 +(n-1)d

here put the values in it

an = a28 , n = 28, d =-9, a1 =1

then

an = a1 +(n-1)d

a28 = 1 +(28-1)(-9)

a28 = 1 +(27)(-9)

a28 = 1 -243

a28 = -242.

So, The a28th term of a arithmetic sequence is -242.

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Determine the equation of the parabola graphed below. Note: be sure to consider the negative sign already present in the template equation when entering your answer. A parabola is plotted, concave up, with vertex located at coordinates negative one and negative four.

Answers

The equation of the parabola graphed is given as follows:

y = a(x + 1)² - 4.

What is the equation of a parabola given it’s vertex?

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

Considering the vertex given, we have that h = -1, k = -4, hence the equation is:

y = a(x + 1)² - 4

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Can someone help me out with these problems and show work please !!

Answers

Answer:

13. 10a^4b²

14. -5y³ + 35y² - 10y

Step-by-step explanation:

Question 13:

(5a³b) (2ab) =

=10a^4b²

Question 14:

5y (-y² + 7y - 2) =

= -5y³ + 35y² - 10y

Hope this helps!

You move a box 5 meters and perform 900 joules of work. How much force did you apply to the box?
please help me i need help

Answers

Answer:

force = work/distance

force = 900/5

force = 180 N

A square garden has sides of length 10 ft. If topsoil costs $5 / cubic foot, how much will it cost to put a 0. 5 ft layer of topsoil on the entire garden?

Answers

Cost to put a 0. 5 ft layer of topsoil on the entire garden is $1000.

The quantity of square units required to completely fill a square is known as the area of a square. The region that lies inside the confines of a flat item or a two-dimensional figure is generally referred to as the area. Measurements are made in square units, with square meters serving as the reference unit 

Area of a Square = Side × Side.

Therefore, the area of square = Side square units.

Side of a square garden= 10 ft.

Area of a square garden= Side × Side= 10 × 10 =100 square ft.

Cost of the whole garden = 100×$5 =$500

Cost to put a 0. 5 ft layer of topsoil on the entire garden =$500/0.5

=$1000

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The cost need to put a 0. 5 ft layer of topsoil on the entire garden is $1000

According to the given statement

we have given that the

side length of the square garden is 10ft.

topsoil cost per foot is $5

And we have to find the cost which required to put a 0. 5 ft layer of topsoil on the entire garden.

So,

The  side length of the square garden is 10ft.

Now, the volume of the cube is (a)^2

And

Total volume of cube = 10*10

Total volume of cube = 100 per square foot.

Now, we find the cost required for a topsoil.

Cost required to put a topsoil of 1 foot in the total volume of cube = volume*cost

So,

Cost required to put a topsoil of 1 foot in the total volume of cube = 1000*5

Cost required to put a topsoil of 1 foot in the total volume of cube = $5000

if we put a topsoil of 0.5 feet then

The cost required = $5000/0.5

The cost required = $1000.

So, The cost need to put a 0. 5 ft layer of topsoil on the entire garden is $1000

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please answer these correctly i will mark u brainliest pleaseee.

1) Find the general term of the sequence 5,6,7,8,9,.........
2) Find the midpoint of the line segment A (3,5) B (4,5)
3) Work out and write ur answer in the simplest form :- 3 1/4 + 2 5/6
4) work out the 30th term of 10,13,16,19, .......
5) the ratio of the width to height of a wall is 20cm. what is it's height in meters?
6) Find the mean of 2.1, 4, 6.2, 7, 3.3,
7) Work out and write the answer in the simplest form :- 1 1/2 + 1 5/9

Answers

Answer: 1. an = n + 4,   2. ( 3 1/2, 3.5, 5),   3. 6 1/12,   4. 97,   5. 0.2 meters,    6. 4.52,   7. 3 1/18

Step-by-step explanation:

Here is a list of numbers: 9.5, 4.4, 8.1, 2.9, 9.2, 3.2, 9.4, 7, 2.5 state the median.

Answers

The median of the list of numbers is 7

How to determine the median?

The number is given as:

9.5, 4.4, 8.1, 2.9, 9.2, 3.2, 9.4, 7, 2.5

Rearrange the numbers in ascending order

2.5, 2.9, 3.2, 4.4, 7, 8.1, 9.2, 9.4, 9.5

The median is the middle number.

The middle number here is 7

Hence, the median of the list of numbers is 7

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Which type of mathematical problem is too complex for a classical computer to solve efficiently?

Answers

Calculating the circumference of a circle based on the circle's diameter.

What kind of problems can a quantum computer solve?

Yet another difficult area that quantum computers cater to is that of solving difficult combinatorics problems. The algorithms within quantum computing aim at solving difficult combinatorics problems in graph theory, number theory, and statistics.

10 Difficult Problems Quantum Computers can Solve Easily-

Quantum encryption. Simulation of quantum systems. ab initio calculations.Solving difficult combinatorics problems.Supply chain logistics. Optimization.Finance. Drug development.

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The complete question is -

Which type of mathematical problem is too complex for a classical computer to solve efficiently?

a. converting an irregular fraction to an approximate decimal value

b. multiplying two numbers that both have a large number of digits

c. finding two prime factors that result in a specific value when multiplied

d. calculating the circumference of a circle based on the circle's diameter

When drawing a context diagram, standardized names should be used within each set of symbols. a. True b. False

Answers

The statement is False that When drawing a context diagram, standardized names should be used within each set of symbols.

According to the statement

we have given the statement and we have to show that the statement is a true or false after analyzing.

So, to analyse the statement

Context diagrams show the interactions between a system and other actors (external factors) with which the system is designed to interface. System context diagrams can be helpful in understanding the context .

But we know that the standardized names is not used within each set of symbols. so, this is used in a randomly sets.

that's why the given statement is not true in the case of the standardized names.

So, The statement is False that When drawing a context diagram, standardized names should be used within each set of symbols.

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If Dwayne drinks 48 bottles of water in 12 days, how many bottles of water will he drink in 4 days?​

Answers

He will drink 16 bottles of water in 4 days

Dwayne will drink 12 bottles of water in 4 days.

To find out how many bottles of water Dwayne will drink in 4 days, we can set up a proportion based on the information given:

Let x be the number of bottles of water he will drink in 4 days.

The number of bottles of water consumed per day remains constant, so we can set up the following proportion:

48 bottles / 12 days = x bottles / 4 days

Now, solve for x:

48 / 12 = x / 4

4x = 48

x = 48 / 4

x = 12

So, Dwayne will drink 12 bottles of water in 4 days.

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The function f(x) = 200(0.5)x/50 models the amount in pounds of a particular
radioactive material stored in a concrete vault, where x is the number of years since
the material was put into the vault. Find the amount of radioactive material in the
vault after 140 years. Round to the nearest whole number.

Answers

Answer:

29 years

Step-by-step explanation:

Given the function [tex]f(x)= 200(0.5)^{\frac{x}{50} }[/tex], where x stands for the number of years since the material was put into the vault, we can plug 140 into x to find the amount leftover.Another way of doing this is to change the function to [tex]f(x)=200(0.5^{\frac{1}{50} })^{x}[/tex] which are equivalent functions, and then plug 140 into x. This function is helpful if you also needed to find the rate. I'll use the 1st function because the question doesn't ask for the rate

[tex]f(x)= 200(0.5)^\frac{140}{50}}[/tex]

From here I'll just use a calculator & get 28.7, or 29 years.

please help i need help solving this

Answers

Answer:

1.D 2.C 3.A 4.B

Step-by-step explanation:

hope this helped

WILL MAKE BRAINLIEST!!
Solve for x.
(x-6)°
124°

Answers

Answer:

x=62

Step-by-step explanation:

This is a straight angle so they have to add up to 180.

124+x-6=180

118+x=180

x=180-118

x=62

Answer:

62

Step-by-step explanation:

124 + (x - 6) = 180

118 + x = 180

x = 62

3. Which of the following best describes the reflection in the graph below


Reflection across y = -x

Reflection across x = 2

Reflection across x = 1

Reflection across y = x



Answers

Answer: Reflection across x=2.

Step-by-step explanation:

x=2 is the perpendicular bisector of segment UU'.

Find the equation of a circle centered on the origin going through the point (-5,3)

Answers

The given center and point on the circle of (0,0) and (-5, 3), respectively

gives the equation of the circle as [tex]x^{2} +y^{2} =\sqrt{34}[/tex].

The general form of the equation of the circle is presented as follows

(x - h)² + (y - k)² = r²

Where,(h, k) is the center of the circle and r is the radius of the circle

Here (h, k) is centered about the origin and the radius of the circle

Radius of the circle = √[(-5-0)² + (3-0)²]

= √(25+9)

=√34.

The equation of a circle centered on the origin going through the point (-5,3)

[tex]x^{2} +y^{2} =\sqrt{34}[/tex]

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can someone please help me

Answers

Answer:

A=120

B=165

C=240

Step-by-step explanation:

3.
There was an earthquake in San Francisco April 18, 1906. More recently there was another earthquake in Columbia June 27, 2014. Earthquakes are measured using the associated amplitude on the Richter scale. Let a1 be the amplitude for the San Francisco earthquake and a2 be the amplitude for the Columbian earthquake.

San Francisco earthquake equations is below
Columbia earthquake below (view image)


a. Use the properties of logs to determine how many more times severe was the San Francisco earthquake? The severity is equal to the ratio below:

a1/a2

Answers

Using the properties of logarithms, it is found that the San Francisco earthquake was 24.71 times more severe than the Columbian earthquake.

How to find the ratios of the intensity of earthquakes?

As given in the problem, the intensities of the earthquakes are given by logarithms of base 10. Then, supposing that the intensities are [tex]R_1, R_2, R_1 > R_2[/tex], the ratio of the intensities is given by:

[tex]R = 10^{\frac{R_1}{R_2}}[/tex]

For this problem, the intensities are:

[tex]R_1 = 7.8, R_2 = 5.6[/tex]

Hence the ratio is:

[tex]R = 10^{\frac{7.8}{5.6}} = 24.71[/tex]

The San Francisco earthquake was 24.71 times more severe than the Columbian earthquake.

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the graph of f(x) can be stretched vertically and flipped over the x-axis to produce the graph of g(x). if f(x)

Answers

The correct option is D: G(x) = -5x².

The equation of G(x) will be -5x² after vertically stretching and flipping.

What is meant by stretching vertically and flipping?

A function change called a stretch or compression makes a graph bigger or narrower without moving it horizontally or vertically.

Vertical stretching: A function's graph is stretched or compressed vertically in proportion to the graph of the original function when we multiply it by a positive constant. We obtain a vertical stretch if the constant is bigger than 1, and a vertical compression if the constant is between 0 and 1.flipped over the x-axis: In order to reflect over the X axis, one must negate the value of each point's y-coordinate while maintaining its x-value. The graph reflects across the x-axis prior to transformation when the parent function f(x) = x² has an a-value smaller than 0. The function f(x) = -x² is the result.

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The complete question is -

The graph of F(x) can be stretched vertically and flipped over the x-axis to produce the graph of G(x). If F(x) = x², which of the following could be the equation of G(x)?

A: G(x) = -1/5x²

B: G(x) = 5x²

C: G(x) = 1/5x²

D: G(x) = -5x²

What is the correct mathematical equation: the monthly consumption ,w, of a household is 237 litres per day with an additional monthly free water usage of 1200 litres. the household spends l litres per month is?

Answers

The linear equation for the cost that the household spend in water is given by:

C(d) = 237d + 1200.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For this problem, the free usage of 1200 liters is the y-intercept, while the daily usage of 237 liters is slope. Hence the function for the amount the household spends in water in d days is given as follows:

C(d) = 237d + 1200.

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A probability that it will rain on a given day during the rainy season in Miami is 70%. If there are 140 days in the rainy season. On how many days should you except it to rain?

Answers

Answer:

98 days

Step-by-step explanation:

140*70%=140*(7/10)=14*7=98

Which of the following is equal to the fraction below?
(4/5)^6


A. 6(4/5)

B. 4^6/5

C. 4^6/5^6

D. 24/30

Answers

Answer:

C. 4^6 / 5^6

Step-by-step explanation:

(4/5)^6

= 4^6 / 5^6

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathbf{(\dfrac{4}{5})^6}[/tex]

[tex]\huge\textbf{Simplify it:}[/tex]

[tex]\mathbf{(\dfrac{4}{5})^6}[/tex]

[tex]\mathbf{= \dfrac{4}{5}\times\dfrac{4}{5}\times\dfrac{4}{5}\times \dfrac{4}{5}\times\dfrac{4}{5}\times\dfrac{4}{5}}[/tex]

[tex]\mathbf{= \dfrac{4\times4\times4\times4\times4\times4}{5\times5\times5\times5\times5\times5}}[/tex]

[tex]\mathbf{= \dfrac{16\times16\times16}{25\times25\times25}}[/tex]

[tex]\mathbf{= \dfrac{256 \times 16}{625\times25}}[/tex]

[tex]\mathbf{= \dfrac{4,096}{15,625}}[/tex]

[tex]\mathbf{\approx \dfrac{4^6}{5^6}}[/tex]

[tex]\huge\text{Therefore, your answer should be: }[/tex]

[tex]\huge\boxed{\frak{Option\ C. \dfrac{4^6}{5^6}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

an economic research commission claimed that among the 500 stores there are 308 dealing with european companies, 266 dealing with asian companies 103 dealing with both sides regularly and 59 not dealing with either side. i) what is the probability that the stores deal with european or asian companies? ii) what is the probability that the stores do not deal with european companies? iii) what is the probability that the stores only deal with asian companies? iv) what is the probability that stores do not deal with only one type of company

Answers

Step-by-step explanation:

Let S be the set of all the stores in the sample, A be the set of stores dealing with Asian companies and E but the set of stores dealing with European companies

i. The set of stores that deal with European or Asian companies is A ∪ E. The inclusion-exclusion principle states that |A ∪ E| = |A| + |E| - |A ∩ E| = 266 + 308 - 103 = 471. So P(A ∪ E) = 471/500 = 0.942

ii. E' = S - E. |S-E| = 500 - 308 = 192. So P(E') = 192/500 = 0.384

iii. |A - E| = |A| - |A ∩ E| = 266 - 103 = 163. So P(A - E) = 163/500 = 0.326

iv. Stores that do not deal with only one type of company, must deal with both Asian and European companies. We are given that |A ∩ E| = 103. So P(A ∩ E) = 103/500 = 0.206

Easy, right?

Then mark as brainlist!

What is the rule of -3,18,-108,—,—,—

Answers

Hi!

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

The rule for this sequence is 'multiply by -6'.

Verification ↓

-3*(-6)[tex]\stackrel\checkmark{=}[/tex]18

18*(-6)[tex]\stackrel\checkmark{=}[/tex]-108

So the rule for the sequence is 'multiply by -6'

And the Common ratio is -6.

Hope that made sense !!

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

[tex]\star\tiny\pmb{calligraphy}\star[/tex]

[tex]\textbf{Heya !}[/tex]

✏✏[tex]\large\textsf{Given:-}[/tex]

The first 3 terms of a sequence :- [tex]\large\textsf{-3, 18, -108}[/tex]

✏✏ [tex]\large\textsf{To Find:-}}[/tex]

The rule for the sequence = ?

✏✏ [tex]\large\textsf{Solution Steps:-}[/tex]

What do we multiply each term of the sequence by to arrive at the next one ? we can find that by dividing the last term of the sequence, -108, by the middle term, 18:-

[tex]\large{\sf{\longmapsto{-108\div18=-6}[/tex]

Now divide 18 by the first term (-3) :-

[tex]\longmapsto\sf{18\div-3=-6}[/tex]

we arrived at -6 twice, So the rule for this sequence is:- "Multiply by -6, And you'll arrive at the next term"

`hope it helped ~ :D

17
Post Test: Transformations and Congruence
Select the correct answer from each drop-down menu.
Consider Undefined control sequence \triangle HJI.
H
सौ
Triangle HJIis
triangle HJI, the triangles
#
triangle EFG. Since triangle EFGuses
Reset
Next

Answers

It should be noted that mathematical transformations involve changing an image in some prescribed manner.

What is a transformation?

Your information is incomplete. An overview will be given. A transformation is a general term for the specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.

It should be noted that the original shape of the object is called the pre-Image and the final shape and position of the object is the image under the transformation.

There are four main types of transformations: translation, rotation, reflection and dilation. Also, in geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other

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Answer:

1. a translation and reflection

2. only rigid transfotmations

3. are congruent

Step-by-step explanation:

right on edmentum

Proving Theorems about Parallelograms: Tutorial
?
Given: Quadrilateral ABCD is a parallelogram. Prove: ZBAD ZDCB, and ZABO ZODA. Match each
statement to its corresponding reason. Scroll down to see all the choices. Click the links in the statements to view
related diagrams. Drag the items on the left to the correct location on the right.
AB CD
BO ADview diagram)
Let A, B, C, and D form a parallelogram.
Draw ACand BD. (view diagram)
AB=CD
BC=AD
AABCE ACDA
AABD ACDB
ZBAD ZDCB(view diagram)
LABC ZCDA(view diagram)
ACAC, and BD BD
given
9 of 2
Opposite sides of a
parallelogram are .
line segments have
equal measures.
drawing line segments
Reflexive Property of
Equality
SSS criterion for
Corresponding angles
of triangles are

Answers

A parallelogram is a type of quadrilateral that has opposite sides to be equal, and opposite angles to be equal.

Thus to complete the given proof in the question, the required statements and reasons are stated below:

             STATEMENT                                     REASONS

1. AB ≅ CD,                                                    Opposite sides of a

  BC ≅ AD                                                      parallelogram are equal

2. A, B, C, and D form a paralelogram         Given

3. Draw AC and BD                                       Drawing line segments

4. AB = CD,                                                    Equal line segments have

   BC = AD                                                     equal measures

5. ΔABC ≅ ΔCDA                                         SSS criterion for equal

   ΔABD ≅ ΔCDB                                         triangles

6. <BAD ≅ <DCB                                          Corresponding angles of equal

   <ABC ≅  <CDA                                         triangles are equal    

7. AC = AC, and BD = BD                             Reflective property of equality

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Someone help me please

Answers

The angle m∠ABC is 70 degrees.

How to find angle in a rhombus?

The angle in a rhombus can be found as follows;

The opposite angle of a rhombus are congruent.

Therefore,

∠B = 140 degrees

Hence, the diagonal of a rhombus bisect an angle.

Therefore,

m∠ABC = 140 / 2

m∠ABC = 70 degrees.

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a set of data has the values 11,14,23 and 16 what value would have to be added to set for the mean of the 5 numbers to be 18

Answers

Answer:

26.

Step-by-step explanation:

(11+14+23+16+x) / 5 = 18   where x is the value to be added.

(64 + x) / 5 = 18

64 + x = 90

x = 90 - 64

  =  26.

Find the volume of the composite figure. Round to the nearest tenth if necessary.

Answers

The volume of the given composite figure is: 375 m³.

What is the Volume of a Composite Figure?

Volume of the composite figure = volume of triangular prism at the bottom + volume of rectangular prism at the top.

Volume of the composite figure = 0.5 * b * h * length + (l)(h)(w)

= 0.5 * 5 * 4 * 5 + (13)(5)(5)

= 50 + 325

Volume of the composite figure = 375 m³

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the specific humidity will increase as the temperature rises in a well-sealed room. group startstrue or falsetrue, unselectedfalse, unselected calculate the ph of a solution that is 7.22 104 m c6h5nh2. kb is 3.8 1010. true or false in a typical cell the area of the endoplasmic reticulum membrane far excueeds thwee area of the plasma membrane Tonya brought a jacket for $34.23 a pillow for $11.75 and a baseball cap for $16.25 she paid $50 and the rest ship out for my friend is Tonia got $7.77 in change from the cashier how much did she fall from Friend to pay for all the items Calculate (CaWO4) the mass of scheelite that contains a trillion (1. 000x10 12) oxygen atoms. Be sure your answer has a unit symbol if necessary, and round it to 4 significant digits the difference between the actual hours used and the standard hours allowed for the actual output is used in the calculation of the labor __ variance. when an nlb cluster has been configured to operate in multicast mode, each nlb network adapter has how many mac addresses? An air turbine has an isentropic efficiency equal to 0.82. If the turbine expands 3 kg/s from 2000 kPa and 1000 K to 400 K. The change in entropy per unit of mass of air flowing is most nearly equal to:a) -0.97576 kJ/kg-Kb) 0.97576 kJ/kg-Kc) 0.43625 kJ/kg-Kd) 0.14542 kJ/kg-Ke) 1.30875 kJ/kg-K a laser pulse contains roughly 0.851 moles of photons. what is the energy contained in a single pulse of green light (525 nm)? provision of adequate energy and nutrients to the very preterm infant requires _____, followed by slow transition to _____. the electrical force on a 2-c charge is 60 n. the electric field where the charge is located isthe electrical force on a 2-c charge is 60 n. the electric field where the charge is located is there are many factors that contribute to emotional tension. in the healthcare setting factors are: _____ Thomas is available on Monday and Tuesday from 10:30 AM to 2:30 PM. Samir is available on Tuesday and Wednesday from 11:30 AM to 3:30 PM. Whitney is available on Monday, Tuesday, and Wednesday from 1:00 PM to 5:00 PM. When are all three people available for a 30-minute meeting? Select all that apply. a Monday at 1:00 PM b Tuesday at 11:30 AM c Tuesday at 1:30 PMd Tuesday at 2:00 PM e Wednesday at 1:00 PM f Wednesday at 3:00 PM Why did the communes in New Mexico disappear after just a few years?O A. Members moved on.B. Hippies became farmers.OC. State leaders kicked them out.OD. Actors bought the communes. The function of the carbonic acid-bicarbonate buffer system in the blood is to ______O aid in the moving O into the bloodO aid in expelling CO from the bloodO help stabilize arterial blood pH Which of the following is a possible unit for the volume of a cone? T/F : relaxation guided imagery is a technique that involves directing the imagination to connect with the subconscious mind to activate the relaxation response. 1.)Estimate the length of a typical hot shower (in minutes)2.) Estimate the flow rate of a typical shower head (in gallons/minute)3.) Estimate the number of gallons used in a typical hot shower A mailbox has thedimensions shown.What is the volumeof the mailbox?2 in.8 in.L8 in.12 in. Aluminum ions react with the hydroxide ion to form the precipitate Al(OH)3(s), but can also react to form the soluble complex ion Al(OH)4. In terms of solubility, Al(OH)3(s) will be more soluble in very acidic solutions as well as more soluble in very basic solutions.a. Write equations for the reactions that occur to increase the solubility of Al(OH)3(s) in very acidic solutions and in very basic solutions.b. Lets study the pH dependence of the solubility of Al(OH)3(s) in more detail. Show that the solubility of Al(OH)3, as a function of [H+], obeys the equationS = [H+]3 Ksp/Kw3 + KKw/[H+]where S = solubility = [Al3+] + [Al(OH)4] and K is the equilibrium constant forc. The value of K is 40.0 and Ksp for Al(OH)3 is 2 1032. Plot the solubility of Al(OH)3 in the pH range 412.