Complete the following proofs.

Given: Points R, S, T, Q on circle O



Prove: m Arc RS + m Arc ST + m Arc TQ = m Arc RQ

Complete The Following Proofs.Given: Points R, S, T, Q On Circle OProve: M Arc RS + M Arc ST + M Arc
Complete The Following Proofs.Given: Points R, S, T, Q On Circle OProve: M Arc RS + M Arc ST + M Arc
Complete The Following Proofs.Given: Points R, S, T, Q On Circle OProve: M Arc RS + M Arc ST + M Arc

Answers

Answer 1

Answer:

Points R, S, T, Q on circle O is given

and points are central arc

Step-by-step explanation:


Related Questions

Which of these absolute values is the greatest? a. |140| b. |-104| c. |104| d. |-20

Answers

Answer: a

/////////////////

Answer:

The correct answer is  A.

Step-by-step explanation:

The absolute value of any number is always positive.

The piece of music that I am learning is 60 measures long. There are 13 beats in every measure, and every eighth note lasts for 1 beat. The last 17 measures of this piece are the finale. In every measure of the finale, there are 7 eighth notes played at middle C. If middle C never occurs in this piece outside of the finale, for what fraction of the whole piece do I play middle C

Answers

[tex]\frac{119}{780}[/tex] fraction of the whole piece you play middle C.

What is a fraction?A fraction is a portion of a whole or, more broadly, any number of equal parts. In everyday English, a fraction represents the number of pieces of a specific size, such as one-half, eight-fifths, or three-quarters. A common, vulgar, or simple fraction consists of a numerator above a line and a non-zero denominator below (or after) that line. Numerators and denominators are also employed in uncommon fractions such as compound fractions, complex fractions, and mixed numerals.

To find  for what fraction of the whole piece do you play middle C:

Since 7 out of every 13 beats in the finale are played at middle C, [tex]\frac{7}{13}[/tex] the finale is played at middle C.

The finale is 17 measures out of a 60-measure piece or [tex]\frac{17}{60}[/tex] of the whole piece.

[tex]\frac{7}{13}[/tex] of [tex]\frac{17}{60}[/tex] is [tex]\frac{7}{13}[/tex] x [tex]\frac{17}{60} = \frac{119}{780}[/tex]

Therefore,  [tex]\frac{119}{780}[/tex] for a fraction of the whole piece you play middle C.

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which of the following is the product of the rational expression shown below? make sure your answer is in reduced form x+1/x-4 * 5/x+1

Answers

Answer:

C

Step-by-step explanation:

[tex]\frac{x+1}{x-4}[/tex] × [tex]\frac{5x}{x+1}[/tex] ← cancel x + 1 on numerator and denominator

= [tex]\frac{1}{x-4}[/tex] × [tex]\frac{5x}{1}[/tex]

= [tex]\frac{5x}{x-4}[/tex]

Answer:

5x/(x-4)

Step-by-step explanation:

To multiply fractions, all we have to do is multiply the numerators together and the denominators together. If we do that, we get the following:

[tex]\frac{x+1}{x-4}*\frac{5x}{x+1}=\frac{(x+1)(5x)}{(x-4)(x+1)}[/tex]

We notice that both the numerator and the denominator have an (x+1) term. Whenever you have something divided by itself, you get 1. In other words, they cancel out. As such, we can remove them from our answer to simplify it:

[tex]\frac{5x}{x-4}[/tex]

If we do that, we get the expression above. 5x/(x-4) is the reduced product of the rational expression given.

A triangular face of the roof of the garage has two sides
that are √93 feet in length each and a base of length
186 feet. Is the roof a right triangle? Explain the steps
to take to determine whether the roof forms a right
triangle.

Answers

Answer:

The roof does form a right triangle.

Step-by-step explanation:

If it is a right triangle then it will obey the Pythagoras Theorem.

Now  (√186)^2 = (√93)^2 + (√93)^2

              186 = 93 + 93 = 186

So it obeys the theorem and is therefore a right triangle.

Which pair of complex numbers has a real-number product? (1 2i)(8i) (1 2i)(2 – 5i) (1 2i)(1 – 2i) (1 2i)(4i)

Answers

The third pair [(1+2i)(1-2i)] have a real number product and other pairs have complex number.

According to the statement

we have given Following are the pairs of the complex number:

(1+2i)(8i),

(1 + 2i)(2 – 5i)

(1+2i)(1-2i) and (1+2i)(4i)

We have to check which pair out of these is a real number product, which means which pair do not contain terms consisting of "i".

So, For this purpose

we have to multiply these pairs with each other.

So,

(1+2i)(8i) = 8i +16(i)^2

And

(1 + 2i)(2 – 5i) = 2 +4i - 5i +10(i)^2

And

(1+2i)(1-2i) = 1 -4(i)^2 -2i +2i = 1+4 = 5

And

(1+2i)(4i) = 4i + 6(i)^2

From these multiplication we found that the third pair have a real number product.

So, The third pair [(1+2i)(1-2i)] have a real number product and other pairs have complex number.

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Model the situation with the sun of the polynomials. Then simplify their sum.

A rectangular picture frame has the dimensions shown in the figure. Write a polynomial that represents the perimeter of the frame.

Answers

Answer: 16x - 2

Step-by-step explanation:

The perimeter of a figure is the total length of all sides of the figure. Since this figure is a rectangle, opposite sides have the same length.

Therefore, the perimeter of the picture frame can be modeled by

[tex]6x+3+2x-4+6x+3+2x-4[/tex]

Moving all like terms together, we get

[tex]6x+2x+6x+2x+3-4+3-4[/tex]

Finally, combining these terms, we get

[tex]16x -2[/tex]

Having trouble can someone help me solve this

Answers

The function f(x) is vertically compressed to form g(x)

How to compare both functions?

The functions are given as

f(x) =x^2

g(x) =3x^2

Substitute f(x) =x^2 in g(x) =3x^2

g(x) =3f(x)

This means that the function f(x) is vertically compressed to form g(x)

See attachment for the function g(x)

Also, both functions have the same domain and range

The complete table is:

x      -2    -1    0   1    2

g(x)  12    3    0    3   12

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The organizers of a community fair set up a small Ferris wheel for young children. The table shows the heights of one of the cars above the ground for different rotations of the wheel. The function below, where a
and b are constants, models the height of the Ferris wheel car at a rotation of x radians. What are the values of a and b?

Answers

The value of a is 6 and the value of b is 7

How to determine the values of a and b?

The function is given as:

h(x) = a . sin(x - π/2) + b

From the table of values, we have:

x = π/2 when y = 7

So, we have:

a . sin(π/2 - π/2) + b = 7

Evaluate the difference

a . sin(0) + b = 7

Evaluate the value of sin(0)

a . 0 + b = 7

Evaluate the product of a and 0

b = 7

Substitute b = 7 in h(x) = a . sin(x - π/2) + b

h(x) = a . sin(x - π/2) + 7

From the table of values, we have:

x = π when y = 13

So, we have:

a . sin(π - π/2) + 7 = 13

Evaluate the difference

a . sin(π/2) + 7 = 13

Subtract 7 from both sides

a . sin(π/2)  = 6

Evaluate sin(π/2)

a . 1 = 6

Divide both sides by 1

a = 6

Hence, the value of a is 6 and the value of b is 7

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What percentage of rolls were a 6?

Answers

Step-by-step explanation:

1 ----> 22 times

2 ----> 16 times

3 ----> 26 times

4 ----> 29 times

5 ----> 1 times

6 ----> 6 times

so , total ----> 100 times

so , percentage of rolls 6 is :-

(6/100 ) × 100%

= 6%

1 1/6 + (x/3 · 1/4) = 1 3/4
solve for x

Answers

Answer:

x = 7

Step-by-step explanation:

1 1/6 + (x/3 · 1/4) = 1 3/4

solve for x

1 1/6 + x/12 = 1 3/4

1 1/6 - 1 3/4 = -x/12

-7/12 = -x/12

-7 = -x

x = 7

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

check

1 1/6 + (7/12 * 1/4) = 1 3/4

1 1/6 + 7/48 = 1 3/4

1 15/16 = 1 3/4

1 3/4 = 1 3/4

the answer is good

A can of popcorn is to be packed in a box for shipping as shown. The can is 18
inches tall and has a radius of 7 inches. The box is 19 inches tall and has a square
base with sides of length 15 inches. All empty space around the can is to be filled
with packing material. How many cubic inches of packing material will be needed?

Answers

The amount of packing material is 1506 cubic inches

How to determine the amount of packing material?

The given parameters are:

Can

Radius, r = 7 inches

Height, h = 18 inches

Box

Base dimension, l = 15 inches

Height, h = 19 inches

The volume of the can is:

[tex]V = \pi r^2h[/tex]

So, we have:

[tex]V_1 = 3.14 * 7^2 * 18[/tex]

[tex]V_1 = 2769[/tex]

The volume of the box is

[tex]V =l^2h[/tex]

So, we have:

[tex]V_2 =15^2 * 19[/tex]

[tex]V_2 =4275[/tex]

The amount of packing material is;

Amount = V2 - V1

This gives

Amount = 4275 - 2769

Evaluate

Amount = 1506

Hence, the amount of packing material is 1506 cubic inches

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In convex pentagon $ABCDE$, angles $A$, $B$ and $C$ are congruent and angles $D$ and $E$ are congruent. If the measure of angle $A$ is 40 degrees less than the measure of angle $D$, what is the measure of angle $D$

Answers

In a convex pentagon, the measure of angle D is 132°.

What is convex pentagon?

If a planar polygon has all the line segments connecting any given pair of its points, it is said to be convex pentagon.

Properties of a Convex Polygon are-

Any polygon whose inner angles are all smaller than 180 degrees is said to be convex.A concave polygon is one in which at least one of the angles is bigger than 180°.A convex polygon's diagonals are located inside the polygon.A polygon is considered convex if the line connecting every pair of its points lies entirely within it.

Calculation for the measure of angle D.

The sum of the interior angles  = 540°

Let A, B , C  =   D - 40

And let  E  = D

So we have

A + B + C + D + E  = 540

(D - 40) + (D - 40)  + (D - 40)  + D + D  =  540

5D  - 120  = 540

5D = 660

D = 660 / 5  

D =  132°

Therefore, the measure of angle D is 132°.

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The graph of f(x)= |x| is transformed to g(x) = x + 11-7. On which interval is the function decreasing?
O (-∞, -7)
O (-00,-1)
O (-00, 1)
O (-∞0,7)

Answers

Answer:

The interval of the decreasing function is (-∞ , -1) ⇒ g(x)

The interval of the decreasing function is (-∞ , 0) ⇒ f(x)

Step-by-step explanation:

* Lets explain how to solve it

- Decreasing function means a function with a graph that moves

downward as it is followed from left to right.

- For example, any line with a negative slope is decreasing function

- Lets look to the attached graph to understand the meaning of the

decreasing function

∵ f(x) = IxI ⇒ green graph

∵ g(x) = Ix + 1I - 7 ⇒ purple graph

- From the graph f(x) translated 1 unit to the left and 7 units down to

form g(x)

- The domains of f(x) and g(x) are all real numbers {x : x ∈ R}

- The range of f(x) is {y : y ≥ 0}

- The range of g(x) is {y : y ≥ -7}

# For f(x)

- The slope of the green line from (-∞ , 0) is negative

- The slope of the green line from (0 , ∞) is positive

# For g(x)

- The slope of the purple line from (-∞ , -1) is negative

- The slope of the purple line from (-1 , ∞) is positive

∵ The line with negative slope represent decreasing function

∴ The interval of the decreasing function is (-∞ , -1) ⇒ g(x)

∴ The interval of the decreasing function is (-∞ , 0) ⇒ f(x)

pls pls pls helppp
------------------

Answers

Answer:

y = 4x^2 + 8x - 12

4(x^2 + 2x - 3) = 0

4(x - 1)(x + 3) = 0

x = 1, -3

Answer:

[tex]\fbox {x-intercepts : (1, 0) and (-3, 0)}[/tex]

[tex]\fbox {Roots : x = 1, x = -3}[/tex]

Step-by-step explanation:

Given :

y = 4x² + 8x - 12

4 cancels throughout.

y = x² + 2x - 4

Solving by quadratic formula :

x =  -8 ± √(8)² - 4(4)(-12) / 8x = -8 ± √64 + 192 / 8x = -8 ± √256 / 8x = -8 ± 16 / 8x = -1 ± 2x = 1 and x = -3

∴ Hence, the x-intercepts are (1, 0) and (-3, 0). The roots of the equation are 1 and -3.

Quick algebra 1 assignment for 50 points!

Experts and Geniuses please help asap, TYSM!


Oh by the way this is just a section of the real assignment, the assignment calls for you to make an app that people can play to learn inverse variation & direct variation and stuff.


Hope that helps solve this! :)

Answers

Step-by-step explanation:

Direct variation is essentially a linear equation, where there is a constant rate. Direct variation can be applied to many things, and we can use it to represent how much money someone has in their bank account after "x" weeks if they're depositing a constant amount of money each week.

So a practical example would be: If someone just opened a bank account and deposits $50 every week, how many weeks will it take for them to have $400 in their account.

So the slope is given in the question, it's $50, since their depositing that constant amount each week. So this gives us the equation: [tex]y=50x[/tex] where x represents the amount of weeks. The y represents the amount of money they have, and since we want to find when this equals 400, we set the y=400, and then solve for x. This gives us the equation: [tex]400=50x[/tex]. Dividing both sides by 50 you get: [tex]8=x[/tex]. So it'll take 8 weeks to have $400 dollars, if you deposit 50 dollars each week.

On a monday a friend says he will meet you again in 34 days. What day of the week will that be?

Answers

Answer:

On a Sunday?

Step-by-step explanation:

Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. After 10 hours of burning, a candle has a height of 25 centimeters. After 26 hours of burning, its height is 17 centimeters. What is the height of the candle after 21 hours

Answers

If the height of candle after 10 and 26 hours are 25 cm and 17 cm then the height of candle after 21 hours is 19.5 cm.

Given height of candle after 10 hours is 25 cm , height of candle after 26 hours is 17 cm.

We have to find the height of candle after 21 hours.

We have been given two points of linear function (10,25),(26,17).

We have to first form an equation which shows the height of candle after x hours.

let the hours be x and the height be y.

Equation from two points will be as under:

[tex](y-y_{1} )=(y_{2} -y_{1} )/(x_{2} -x_{1} )*(x- x_{1} )[/tex]

(y-25)=(17-25)/(26-10)* (x-10)

y-25=-8/16 *(x-10)

16(y-25)=-8(x-10)

16y-400=-8x+80

8x+16y=480

Now we have to put x=21 to find the height of candle after 21 years.

8*21+16y=480

168+16y=480

16y=480-168

16y=312

y=312/16

y=19.5

Hence the height of candle after 21 hours is 19.5 cm.

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If Robbie has twenty-five apples and he wants to share them equally with four other friends, how many apples must he give to each of his friends so that he will have the same number of apples as each of his friends

Answers

Answer:

5 apples

Step-by-step explanation:

4 friends + Robby = 5 people

25 apples in total ÷ 5 people

= 5 apples per person

Find the quotient: look at pic

Answers

Answer:

2y+6

Step-by-step explanation:

first, pull out the 2 from the top to separate the equation

second, factor out y

third, cancel out the common factor of y-1

fourth, remove the parenthesis from 2(y+3)

answer = 2y+6

the height of a can of coke is in 11 cm and the radius is 6 cm calculate the total surface area of the can in cm^3 assuming that the can is a closed cylinder

Answers

The total surface area of the can of coke is 641.143 cm².

What is the total surface area of the can?

A can of coke has the shape of a cylinder. A cylinder is a three-dimensional object that is made up of a prism and two circular bases. The total surface area of a closed cylinder can be determined by adding the area of all its faces.

Total surface area of the closed cylinder = 2πr(r + h)

Where:

r = radius = 6cm h = height = 11 cm r = pi = 22 / 7

Total surface area of the closed cylinder = (2 x 22/7 x 6) x (6 + 11)

(264 / 7) x (17)

37.714 x 17 = 641.143 cm²

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I WILL MARK BRAINLIEST FOR CORRECT ANSWERS WITH AN EXPLANATION!

Solve for x

If you need more information than what’s been provided, please let me know in the comments!

Answers

The value of x in the triangle is 9.3

How to find the side x of a triangle?

The side x of a triangle can be found as follows:

The triangle ABC is similar to triangle ADE.

Therefore, corresponding sides of similar triangles are in the same ratios.

Hence,

7  / 13 = x / x + 8

cross multiply

7(x + 8) = 13x

7x + 56 = 13x

subtract 7x from both sides of the equation

7x - 7x + 56 = 13x - 7x

56 = 6x

divide both sides by 6

x = 56 / 6

x = 9.33333333333

x = 9.3

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calculate the volume of the composite shape
please please help giving brainliest!!

Answers

[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

There are two hemispheres in there with radius 3 cm, so we can consider it as a whole one. and the other shape in between is Cylinder with radius 3 cm and height 4 cm.

Volume of whole ahape = volume of Cylinder + volume of sphere ~

Volume of sphere :

[tex]\qquad \sf  \dashrightarrow \: \cfrac{4}{3} \pi {r}^{3} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \cfrac{4}{3} \sdot3.14 \sdot {(3)}^{3} [/tex]

[tex]\qquad \sf  \dashrightarrow \: (4 )\sdot(3.14) \sdot(9)[/tex]

[tex]\qquad \sf  \dashrightarrow \: 113.04 \: \: cm {}^{3} [/tex]

Volume of Cylinder :

[tex]\qquad \sf  \dashrightarrow \: \pi {r}^{2} h[/tex]

[tex]\qquad \sf  \dashrightarrow \: 3.14 \cdot(3) {}^{2} \sdot4[/tex]

[tex]\qquad \sf  \dashrightarrow \: 3.14 \sdot(9) \sdot(4)[/tex]

[tex]\qquad \sf  \dashrightarrow \: 113.04 \: \: cm {}^{3} [/tex]

Volume of whole shape :

[tex]\qquad \sf  \dashrightarrow \: 113.04 + 113.04 = 226.08 \: \: cm {}^{3} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 226.08 \: \: cm {}^{3}[/tex]

The pen is 2 cm shorter than the scale. if the scale is 7 inches long. how long is the pen?

Answers

The pen is [tex]15.78[/tex] centimeters long when scale is [tex]7[/tex] inches long and pen is [tex]2cm[/tex] shorter then the scale.

How to find the how much long is the pen ?

Scale is [tex]7 inches[/tex] long and

We know that

[tex]7inches=17.78cm[/tex]

And pen is [tex]2cm[/tex] shorten then the scale

So the length of the pen is

[tex]=17.78-2\\=15.78cm[/tex]

[tex]=6.21 inches[/tex]

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The set $\{2, 4, 6, \dots, n\}$ contains the positive consecutive even integers from 2 through $n$. When one of the integers from the set is removed, the average of the remaining integers in the set is 28. What is the least possible value of $n$

Answers

The least possible value of n is 27.

According to the statement

We have given that the set which is {2,4,6,8.....n} and and one set is removed from them the average of remaining integers is 28.

Then

Firstly set contain n numbers

But after that set contain n-1 numbers after removal of 1 digit from them.

and average value of remaining digit is 28 then 28th term become after removal is

28th term =28*2

28th term = 56.

then

we use the formula to calculate n

n-1 =28

then the value of n become 27.

the least possible value of n is 27.

So, The least possible value of n is 27.

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I cant figure this out

Answers

Answer:

x = 2 or x = -1/4

Step-by-step explanation:

Let's solve your equation step-by-step.

4x2−7x−2=0

For this equation: a=4, b=-7, c=-2

4x^2+−7x+−2=0

Step 1: Use quadratic formula with a=4, b=-7, c=-2.

[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

[tex]x=\frac{-(-7)\pm\sqrt{(-7)^2-4(4)(-2)} }{2(4)}[/tex]

[tex]x=\frac{7\pm\sqrt{81} }{8}[/tex]

x = 2 or x = -1/4

Answer:

x = 2 or x = -1/4

Find the sum of the primes between 100 and 200, inclusive, that are 1 or 2 more than a perfect square.

Answers

Answer:

298

Step-by-step explanation:

All perfect squares from 100-200 inclusive:

100, 121, 144, 169, 196

100+1=101, 101 is prime

121+2=123, 123=41*3 so its not prime

144+1=145 145=29*5 so its not prime

169+2=171 171=9*19 so its not prime

196+1=197, 197 is prime

101+197=298

Notice that I excluded all even numbers because they are obviously composite.

To find the 95% confidence interval for the population standard deviation using the bootstrap method. You repeatedly sample with replacement from the sample, tens of thousands of times. For each sample, you compute the sample standard deviation. What is the next step?.

Answers

The next line after computing the sample standard deviation is to; determine the 2.5th and 97.5th percentiles of the values.

How can the 95% confidence interval be determined?

It follows from the task content that the 95% confidence interval for the population standard deviation using the bootstrap method in which case, after numerous sampling, the 2.5th and 97.5th percentiles of the standard deviations are determined.

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Can someone help me?

Answers

Answer:

discriminant = b^2 - 4ac

Step-by-step explanation:

discriminant = b^2 - 4ac

2^2 - 4x 3x2 = 4-24 = 20

(s^-6t^-2)^0 i know that the exponents equal zero but what would the answer 1 or s^0 t^o

Answers

Answer: 1

Step-by-step explanation: Any number raised to zero is always 1.

slope:
y-intercept:
PLSPLSPLS HELP

Answers

Answer:

Slope: 1

Y-intercept: -1

Step-by-step explanation:

The line passes the y-axis at -1, the rise/run, which is used to calculate the slope is 2/2, and it equals to 1, so the slope is 1.

I hope it helps! Have a great day!

bren~  

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He expression 1 (4 4 4 4 4) is equivalent to (14 14 14 14 14) Which month will India most likely experience the greatest cumulative rainfall? A) March B) May C) July D) October E) December. building traffic, increasing brand awareness, responding to an attack by a competitor, and introducing a new product are all examples of possible ________. write java code that declares an array variable named data with the elements 7, -1, 13, 24, and 6. use only one statement to declare and initialize the array. Which of the following CORRECTLY outlines the role of alternative splicing in the control of sex differentiation in Drosophila?Female flies alternatively splice mRNA from the male pronucleus to determine if the zygote will develop as a male or female.Alternative splicing allows male flies to produce sperm with either an X or a Y chromosome, causing sex differentiation.Alternative splicing early in embryonic development allows males and females to produce distinct products from the same genes, leading to sexually dimorphic flies.Alternative splicing can only occur in fully differentiated cells and therefore cannot contribute to sex differentiation.Alternative splicing generates X:A ratio of 0.5 in females and X:A ratio of 1.0 in males, where Tra protein mediated splicing only takes place in males The brakes in a car work because of a. Archimedes' principle. b. Pascal's principle. c. Bernoulli's principle. O d. Torricelli's principle. e. none of these principles. In the NIST Cloud Computing Reference Architecture, which of the following has the responsibility of transmitting the data?A. Cloud providerB. Cloud carrierC. Cloud brokerD. Cloud consumer explain what it would mean for an association to exist between eye and hair color Suppose you observe the following exchange rates: 1 = $1.25; 1 = $2.00. Calculate the europound exchange rate. A. 1 = 1.60 B. 1 = 0.625 C. 2.50 = 1 D. 1 = 2.50 if you want to sort a table by the price field with the highest prices coming first, you should sort on the: fill in the blank. the windows ____ shown in the accompanying figure contains the following objects: windows, icons, menus, toolbars, taskbar, hyperlinks, sizing buttons, and a dialog box nazi ideas about appropriate work for women encouraged them to pursue occupations in a client admitted to the hospital with peptic ulcer disease tells the nurse about having black, tarry stools. what should the nurse do? Solve the simultaneous equations using elimination method= x+2y-3z=0 3x+3y-z = 5 x-2y = 2z=1 when engaged to audit a governmental entity in accordance with government auditing standards, an auditor prepares a written report on internal control over financial reporting what is the sequence of editing in filmmaking called?responsesthe post-production phasethe post-production phasethe pro-production phasethe pro-production phasethe pre-production phasethe pre-production phasethe pan-production phase Which of the following statements best explains how a condition of Hardy-Weinberg equilibrium results in a population that exhibits stable allele frequencies (i.e., a nonevolving population) ?Responsesa. Large populations are not subject to natural selection.b. Random mating prevents gene flow from changing allele frequencies.c. Without migration or mutation, new alleles cannot be introduced to the population.d. In the absence of selection, allele frequencies in a population will not change. What is the relationship between the current through a resistor and the potential difference across itat constant temperature?directly proportional inversely proportionalindirectly proportional If PV = $100, EV = $200 and AC = $300,the status is:a. Over budget and behind scheduleb. Under budget and behind schedulec. Over budget and ahead of scheduled. Under budget and ahead of schedule 4. The number of times a first-year college student calls home during the week is a Poisson RV with mean : X ~ Poisson(A). Curious to find the value for , you break into the SA (!) and access phone records for n random weeks. You record the number of calls home and get the random sample X1,..., Xn. a. Find an unbiased estimator of A and prove it is unbiased b. You're curious how many total minutes, M, these X calls amount to in a week, and you read a recent journal article that suggests the model M 2X +3X2. Find the expected number of weekly minutes as an expression involving . c. Find an unbiased estimator of E(M) (your answer from part b), call it M, based on the random sample Xi, X2,... ,Xn-