a voice teacher selects 8 students from the class to sing for the trustees. the class has 12 men and 13 women. in how many ways can 8 students be selected and arranged in a row with 4 men in the middle and 2 women on each end?

Answers

Answer 1

The number of ways that the teacher can arrange the row is  185328000

Given,

Number of male students = 12

Number of female students = 13

Number of students teacher needs to select = 8

The row arrangement is like; 4 men in the middle and  2 women on each end;

Here,

Order of the arrangement is considered.

So, permutation can be used.

Female students selected = ¹³P₂

Male students selected = ¹²P₄

Then,

Number of ways for the arrangement =  ¹³P₂ × ¹²P₄

= 15600 × 11880

= 185328000

That is,

The teacher can arrange a row with 4 men in the middle and 2 women on each end in 185328000 ways.

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Related Questions

A recipe for fruit salad includes 1/4 cup of grapes for 4 servings. How many cups of grapes are needed for 40 servings of this fruit salad

Answers

Answer: 2.5

Step-by-step explanation: 40 divided by 4 = 10  1.4 x 10 = 2.5

Answer:

2.5

Step-by-step explanation:

1/4 is equal to 0.25, So if it's 0.25 for 4 servings, the ratio is 0.25:4. You can the divide 40 by 4 and get 10. You can now take that ten and multiply it by 0.25 to get 2.5 or 2 and 1/2

the population of a town increased from 3050 in 2006 to 5500 in 2009. find the absolute and relative (percent) increase. absolute increase: relative increase: % give answers accurate to at least 1 decimal place.

Answers

In the given question, the absolute percentage increase is 1050 and the relative percentage increase is 32.3076%.

What is the percentage increase?

When you want to analyze how a value has evolved over time, a percentage increase is helpful.

Although percentage increase and absolute increase are fairly comparable, the former is more helpful when contrasting different data sets.

For instance, a change from 1 to 51 and a change from 50 to 100 both have an absolute change of 50, but the first change grew significantly more due to the higher percentage growth of 5000% compared to the second change of 100%.

The most popular method of assessing growth is percentage increase because of this.

So, the absolute and relative percentage increase is:

The town's population grew from 3,250 in 2008 to 4,300 in 2010.

2008: P1 = 3250

2010: P2 = 4330

Absolute variation:

Absolute difference = P2 - P1

Absolute difference = 4330 - 3250

Absolute difference = 1050

Relative increase:

Relative percentage = P2 - P1/P1 * 100

Relative percentage = 1050/3250 * 100

Relative percentage = 32.3076

Therefore, in the given question, the absolute percentage increase is 1050 and the relative percentage increase is 32.3076%.

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Correct question:
The population of the town increased from 3,250 in 2008 to 4,300 in 2010. Find the absolute and relative(percent) increase.

Use Descartes' Rule of Signs to determine how many positive and how many negative real zeros the polynomial can have. Then determine the possible total number of real zeros. (Enter your answers as comma-separated lists.)P(x) = x^3 − x^2 − x − 5number of positive zeros possible number of negative zeros possible number of real zeros possible

Answers

The number of positive and negative real roots of the function

x³ - x² - x - 5 are 1 and 2 respectively.

What is Descartes' Rule?

Descartes' rule of sign is used to determine the number of real zeros of a polynomial function. It tells us that the number of positive real zeros in a polynomial function f(x) is the same or less than by an even numbers as the number of changes in the sign of the coefficients.

Number of positive real roots of f(x) ≤ Number of sign changes f(x)

Number of negative roots of f(x) ≤ Number of sign changes of f(-x)

According to the given questions:

The given polynomial function f(x) = x³ - x² - x - 5

We can observe the number of sign changes in the coefficients

The sign changes only once

hence there is one positive real root

Now, f(-x) = -x³ + x² - x + 5

Clearly sign changes 2 times evenly

Therefore the function has 2 negative real roots

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from a group of 7 men and 6 women a committee consisting of 4 men and 3 women is to be formed. how many different committees are possible if (a) 2 of the men refuse to serve together?

Answers

500 Different number of committees are possible.

Initially we have 7 men and 6 women.

We have to select 4 men and 3 women to form a committee

Number of men are possible 7C4 = 35

Number of women are possible 6C3 = 20

2 of the men are refusing to server together

so we have to subtract the possibilities when these 2 men are sitting together.

we are considering 2 men are already sitting together.

now, we have only need of 2 men  from remaining 5 men.

number of ways to select 2 men from 5 men is 5C2 = 10

We have to subtract 10 from number of men possible.

Number of men possible when 2 of the men refuse to serve together =

35 - 10 = 25.

Number of possible committees are 25*20 = 500.

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Alexis wants to pave a square landing pad out of concrete for her model helicopter.
She has enough concrete to pave 140 square feet. Find the length of each side of the
square landing pad in feet using the formula s = √A where s is the side length and A
is the total area. Round your answer to one decimal place, if needed.

Answers

A Square is a two-dimensional figure that has four sides and all four sides are equal.

The area of a square is given as side²

The formula to find the side length.

s = √A

The length of the side is 11.8 feet.

What is a square?

A Square is a two-dimensional figure that has four sides and all four sides are equal.

The area of a square is given as side²

We have,

The total area of the square landing path:

A = 140 square feet.

The formula to use is given,

s = √A

Now,

s = √140

s = √4 x 35

s = 2√35

[ √35 = 5.92 ]

s = 2 x 5.92

s = 11.8 feet

Thus,

The length of the side is 11.8 feet.

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in comparing the galilean transformations with the lorentz transformations, what multiplicative factor appears in the lorentz transformations that is not in the galilean ones?

Answers

In Lorentz transformations we have velocity based factors that is not present in Galilean ones.

What is lorentz transformations?

The relationship between two distinct coordinate frames that are moving relative to one another at a constant speed is known as a Lorentz transformation. Dutch physicist Hendrik Lorentz is credited with coining the name of the transformation. There are two frames of reference: Inertial Frames, which refer to motion that has a constant speed.

What are Galilean transformations?

The relationship between two distinct coordinate frames that are moving relative to one another at a constant speed is known as a Lorentz transformation. Dutch scientist Hendrik Lorentz is credited with coining the term transformation. There are two frames of reference: Inertial Frames, which relate to motion that has a constant speed.

Any and all rulers and other self-contained length standards, such as those you might use to set up a measurement frame, can be contracted in length based on velocity. This results in the Lorentz factor at the place in the LT.

Any and all clocks and other physically independent systems, such as those used to record events in a measurement frame, are subject to velocity time dilation. As a result, the LF is temporarily in the LT.

The fact that applying Einstein synchronisation individually for each measurement frame turns out to be natural. Consequently, the position-dependent synchronisation offset between the clocks of one measurement frame and those of the other is represented by the enigmatic second term in the LT for the time.

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Hey!, can you pls help me? I've been stuck on this for a long time...

Answers

y=1/2x-4 and y=3/2x+2

Which graph represents the step function f(x)=⌊x+1⌋ ?

Answers

The graph which represents the equation f ( x ) = [ x + 1 ] is Option 4.

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = [ x + 1 ]

The function f ( x ) can be written as

y = [ x + 1 ] , where the equation f ( x ) = y

Substituting the value for x , we get

a)

when x = 0

The value of equation is

y = [ x + 1 ]

y = [ 0 + 1 ]

y = 1

So , the coordinates are ( 0 , 1 )

b)

when x = 1

The value of equation is

y = [ x + 1 ]

y = [ 1 + 1 ]

y = 2

So , the coordinates are ( 1 , 2 )

c)

when x = 2

The value of equation is

y = [ x + 1 ]

y = [ 2 + 1 ]

y = 3

So , the coordinates are ( 2 , 3 )

d)

when x = -1

The value of equation is

y = [ x + 1 ]

y = [ -1 + 1 ]

y = 0

So , the coordinates are ( -1 , 0 )

Hence ,

On plotting the points in the graph , we get the equation as y = x + 1

And the solution is Option D.

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an izod impact test was performed on 20 specimens of pvc pipe. the sample mean is 1.25 and the sample standard deviation is 0.25. test the hypothesis that H0: ????

Answers

There is sufficient evidence to conclude that the population standard deviation is different from 0.1.

What is test statistic?

A test statistic is a figure obtained from a statistical analysis. It explains how far your observed data is from the null hypothesis, which states that there is no correlation between the variables or distinction between the sample groups.

Given,

            [tex]H_0:\sigma =0.1\\H_a:\sigma \neq 0.1[/tex]

Test statistic:

Chi square=(20-1)*0.25^2/0.1^2=118.75

df=20-1=19

p-value=CHIDIST(118.75,19)=0.0000

Reject the null hypothesis.

Hence, there is sufficient evidence to conclude that the population standard deviation is different from 0.1.

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Write a rule for g(x)=f(x+2) when f(x)=x+1.

Answers

Answer:

g(x) = x+3

Step-by-step explanation:

f(x) = x+1

g(x) = f(x+2)

so g(x) = (x+2)+1

g(x)=x+3

Which conclusion is appropriate at the 5% level of significance? check all that apply. Group of answer choices the differences observed in sample means do not provide strong evidence of a difference in mean course load for freshmen, sophomores, juniors and seniors at this university. There are statistically significant differences in mean course loads for freshmen, sophomores, juniors and seniors at this university. This study provides strong evidence that the mean course loads differ for freshmen, sophomores, juniors and seniors at this university. This study provides strong evidence that the mean course loads for freshmen are larger than the mean for sophomores. This study suggests that the mean course loads are the same for freshmen, sophomores, juniors and seniors at this university. We cannot draw a conclusion because conditions for the anova f-test are not met

Answers

A 5% chance exists of concluding there is a difference when there isn't at a significance level of 0.05. Lower levels of significance suggest that you need more proof before you can rule out the null hypothesis.

What is Anova test?

In statistics, the analysis of variance (ANOVA) method is used to compare the means of two groups.

In an experiment with a completely randomized design, samples are at random assigned to either a treatment group or a placebo group.

For instance, if 40 persons are chosen to evaluate the effects of an analgesic,

four groups—Groups A, B, C, and D—could be created. Different dosages of the medication can be administered to Groups A, B, and C, while Group D receives a placebo. Due to the random grouping of the participants

, this is an illustration of a randomized design.

We assume that the sample populations are normally distributed and have the same variances in order for an ANOVA test to display completely randomized design.

Hence, A 5% chance exists of concluding there is a difference when there isn't at a significance level of 0.05. Lower levels of significance suggest that you need more proof before you can rule out the null hypothesis.

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the time is 11:06 in 2 hours it will be

Answers

Answer:

Step-by-step explanation:

01:06

Answer:

1:06

Step-by-step explanation:

11:06 + 2:00 = 13:06

13:06-12:00= 1:6

help plsssssssssssssssss

Answers

Answer: A 121/324

Step-by-step explanation:

1.0489343455493443 is the result so it is irrational

a survey of patients at a hospital classified the patients by gender and blood type, as seen in the two-way table. gender blood type male female total a 105 93 198 b 99 84 183 o 160 140 300 ab 15 18 33 total 379 335 714 based on the data, what percent is the probability that a female patient will have type-o blood? round your answer to the nearest tenth of a percent.

Answers

The percent of the probability that a female patient will have type-o blood is 46.7%

To know the percent of female patients who will be having type 0 blood, all you have to do is divide the number of female patients with O-blood type by the total number of patients with O-blood type. Then finally you will have to multiply the quotient by 100 to get the percent as follows:

number of females with o-blood type = 140 Females

total number of patients with o-blood type = 300 patients

Percentage of Females with o-blood type = (140/300) * 100 = 46.7%

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Complete the statement Round to the nearest hundredth if necessary
14 m ≈ ? ft​

Answers

Answer: 45.93 ft

Step-by-step explanation:

at what rate is the angle between a​ clock's minute and hour hands changing at 10 ​o'clock in the ​morning?

Answers

The angle between a clock's minute and hour hands changing at 10 o'clock in the morning is 5.5 degrees/minute.

what is the rate of change in calculus?

The rate of change defines the relationship between two changing variables. Consider a moving object that moves twice as much in the vertical direction (y) as it does in the horizontal direction (x). This can be expressed mathematically as y = 2x.

Let 'θ' represent the angle between the minute and hour hand.

Let θ1 be the angle between the minute hand and 12.

                     [tex]\frac{d\theta_2}{dt}=\frac{1}{60*12}\times2\pi\\\\\frac{d\theta_2}{dt}=\frac{\pi}{360}[/tex](Between hour hand and 12)

       

                     [tex]\theta=\pm(\theta_1-\theta_2)\\\\\frac{d\theta}{dt}=\pm(\frac{d\theta_1}{dt}-\frac{d\theta_2}{dt})\\\\\frac{d\theta}{dt}=\pm(\frac{\pi}{30}-\frac{\pi}{360})\\\\\frac{d\theta}{dt}=\pm5.5$ degree$[/tex]

Hence the angle between a clock's minute and hour hands changing at 10 o'clock in the morning is 5.5 degrees/minute.

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what is an equation of the line that passes through the point (4,-3)(4,−3) and is perpendicular to the line 4x y

Answers

The equation of the line is [tex]y = -\frac{3}{4}x[/tex].

What is the equation of a line?

A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept.

We have,

the line passes through the point (4,-3),

the points perpendicular to the line 4x - 3y = 3

The equation of a line in slope-intercept form is y = mx + c ( m is the slope and c is the y-intercept).

rearrange 4x - 3y = 3 into this form

subtract 4x from both sides

- 3y = - 4x + 3 ( divide all terms by - 3 )

[tex]y = \frac{4}{3}x - 1[/tex] ← in slope-intercept form

with slope m = 4/3,

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular} = \frac{1}{-m} = \frac{1}{-\frac{4}{3} } = \frac{3}{-4}[/tex]

[tex]y = -\frac{3}{4}x + c[/tex] ← is the partial equation

To find c substitute (4, -3) into the partial equation,

-3 = -3 + c

c = -3 + 3

c = 0,

[tex]y = -\frac{3}{4}x[/tex]

Hence, the equation of the line is [tex]y = -\frac{3}{4}x[/tex] .

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a rectangular crate has length 15 in, width 4 in, and height 10 in. find its volume as surface area.

Answers

Answer:

volume: 600 cubic inchesarea: 500 square inches

Step-by-step explanation:

You want the volume and surface area of a rectangular crate that is 15 in long, 4 in wide, and 10 in high.

Volume

The volume is given by the formula ...

  V = LWH

For the given crate, the volume is ...

  V = (15 in)(4 in)(10 in) = 600 in³

Area

The area is given by the formula ...

  A = 2(LW +H(L +W))

For the given dimensions, the crate has an area of ...

  A = 2((15 in)(4 in) +(10 in)(15 in +4 in)) = 2(60 in² +(10 in)(19 in))

  = 2(60 in² +190 in²) = 500 in²

The crate's volume is 600 cubic inches; its area is 500 square inches.

A problem solving method that involves trying all possible solutions until one works is using ___________. a. an algorithm b. trial-and-error c. deductive reasoning d. a heuristic please select the best answer from the choices provided a b c d

Answers

The correct option  b. trial-and-error, is employed in the approach to issue solving that entails testing each potential solution until one is successful.

Explain the term trial-and-error?

Trial and error is attempting a way, seeing if it succeeds, and trying a different method if the first one doesn't.

Up till a solution or achievement is achieved, this procedure is repeated.A process of trying out several methods and recognizing and removing mistakes or reasons for a failure to determine the best strategy to achieve a goal or the best answer. also: attempting various things till something works. Finding the optimal approach to get the intended result through trial and error involves identifying and eradicating faults or failures using a variety of experimental methodologies.

Thus, trial-and-error, is employed in the approach to issue solving that entails testing each potential solution until one is successful.

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PLEASE HELP ASAP!!!!!! WITH EXPLANATION >:(

Answers

Answer:

D. 7.00 < 210.00; h < 30; 30 hours

Step-by-step explanation:

He needs to do 30 hours because:

7.00 < 210$; representing h < = 30; and then you would equal 30 hours

Definitely not A or B because that would represent a fraction which we don’t want

C, also would not work because it would be the opposite.

( I am not stealing points. )

A persons resting heart rate is typically between 60 and 100 beats per minute. Rushing looks at the watch and counts 8 heartbeats in 10 seconds. Is his heart rate typical?

Answers

Answer: No its not normal

Step-by-step explanation: The question says 60 and 100 beats per minute is normal. Rushing looks at his watch and counts 8 beats in 10 seconds

We can solve by:

[tex]\frac{8}{10}[/tex] = [tex]\frac{x}{60}[/tex] then from that answer we can check if x, the heartbeats falls between 60 and 100.

So to get 60, we have to multiply 10 by 6. We are using proportionality, so we do the same to the numerator to get 8 x 6= 48

We get  [tex]\frac{8}{10}[/tex] = [tex]\frac{48}{60}[/tex]. 48 beats do not fall between 60 and 100, thus the answer is it is not normal.

Help how do i answer this problem

Answers

Answer:

1. EF ≈ 22.00

2. m∠E ≈ 36.20°

3. m∠F ≈ 53.81°

Step-by-step explanation:

1. Use the trigonometric function sine.

sin(60°) = EF / 25.4

EF = 25.4 sin(60°)

EF ≈ 22.00

2. Use the inverse of the trigonometric function sine (denoted arcsin).

sin(m∠E) = 15/25.4

m∠E = arcsin(15/25.4)

m∠E ≈ 36.20°

3. Use the inverse of the trigonometric function cosine (denoted arccos).

cos(m∠F) = 15/25.4

m∠F = arccos(15/25.4)

m∠F ≈ 53.81°

3(4x2) 5x = 6-7(-x-2)

Answers

Answer:

24

Step-by-step explanation:

A punch recipe calls for 1 1/2 quarts of sparkling water and 3/4 of a quart of grape juice. How much of each ingredient would you need to make 75 quarts of punch?

Answers

The number of each ingredient of water and grape juice you can use for 75 quarts of punch would be = 112.5 of sparkling water and 56.25 of grape juice.

What is recipe?

Recipe is defined as the comprehensive list of items that includes various measurements which is used for making different food meals.

The quantity of sparkling water used for each punch quarts = 1½ = 1.5

1.5 = 1

X = 75

make X the subject of formula;

X = 75×1.5

X = 112.5

The quantity of grape juice used for each punch quarts= ¾ = 0.75

0.75 = 1

y = 75

make y the subject of formula;

y = 0.75×75

y = 56.25

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y+8>10 solve the following inequality

Answers

Answer:

y>2

Step-by-step explanation:

subtract 8 on both sides

Answer:

y > 2

Step-by-step explanation:

y + 8 > 10

Subtract 8 from both sides.

y > 10 - 8

y > 2

I do not understand what I am supposed to do

Answers

Check the picture below.

jessica has a die with 10 sides, another with 13 sides, and a third one with 5 sides. she rolls the three dice once. let z be the number of ones showing. find the expectation of z using the indicator method.

Answers

Jessica has three dice with 10 sides, 13 sides and 5 sides respectively and she rolls all dice once and if Z is number of ones occur then

The expectation value i.e, E(Z) is 0.376 and variance V[Z] = 0.321..

Indicator method :

This is a powerful way to find expected counts. This follows from the observation that the number of "good" outcomes in a trial can be counted by first coding each "good" outcome as one, coding each other outcome as zero, and then adding 1 and 0.

let X₁ be the outcome of a 10 sided die

X₂ be the outcome of 13 sided die

X₃ be the outcome of 5 sided die

let l₁ ,I₂ ,I₃ be three indicator functions such that

I₁ =1 if X₁ = 1

=0 otherwise

I₂ = 1 if X₂ = 1

=0 otherwise

I₃ = 1 if X₃ = 1

=0 otherwise

so Z denotes the number of ones showing when the three dice are rolled once.

so Z=I₁ +I₂ +I₃

so E[Z]=E[I₁]+E[I₂]+E[I₃]

so E[I₁]=1×P[X₁=1] = 1/10

E[I₂]=1×P[X₂=1] = 1/13

E[I₃]=1×P[X₃=1] = 1/5

so, E[Z]=1/10+1/13+1/5=49/130 = 0.3769

the variance = V[Z] = V[I₁]+V[I₂]+V[I₃] since the outcomes of the 3 different die are independent to each other hence no covariance term.

V[I₁]= 1²P[X₁=1]- E²[I₁]=1/10 -(1/10)²= 0.09

V[I₂]= 1²P[X₂=1]- E²[I₂]=1/13-(1/13)²= 12/169 = 0.071

V[I₃]= 1²P[X₃=1]- E²[I₃]=1/5 -(1/5)²= 4/25 = 0.16

so V[Z]= 0.09 + 0.071 + 0.16 = 0.321

Hence, the expectation value i.e, E(Z) is 0.3769..

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consider slotted aloha with nodes retrying with probability p a. recall that when there are n active nodes, the probability that any node has successful transmission is np(1 − p)n−1. find the value of p that maximizes this expression. show your work. b. using the value of p found in (a), find the efficiency of slotted aloha by letting n approach infinity.

Answers

The efficiency of slotted aloha by letting n approach infinity is 1/e and the maximum value of probability is 1/n.

Given that:

No. of nodes = (n)

The efficiency of slotted aloha by letting n approach infinity is E (p)= np(1-p)^(n-1).

By derivation,

E' (p) =  n(1-p)^(n-1) - np(n-1)(1-p)^(n-2)

E' (p) =  n(1-p)^(n-2) x [(1- p) - p(n-1)]

E' (p) =  n(1-p)^(n-2) x [1-np]

Let E'(p) =0

i.e. Either,  n(1-p)^(n-2) = 0

=> p = 1 (minima)

Or [1-np] = 0

=> p = 1/n (maxima)

So, for the value of p* = 1/n, we can maximize this expression.

When  p = 1/n, the efficiency of slotted aloha is

E(p*) = n.1/n (1-1/n)^(n-1)

E(p*) = (1-1/n)^(n-1)

E(p*) = (1-1/n)^n/(1-1/n)

Since, [tex]\lim_{n \to \infty} (1-1/n) = 1\\[/tex]

[tex]\lim_{n \to \infty} (1-1/n)^n = 1/e[/tex]

So, when n approaches infinite,

Efficiency =>  [tex]\lim_{n \to \infty} E(p*) = 1/e[/tex]

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What is 48,570 in scientific notation?

Answers

Answer: 4.857 x 10^4

Step-by-step explanation:

4.857 × 104
4.857 × 10-4
4.857 × 10°
48.57 × 104
Correct answer:
4.857 x 10"

Find the slope of points passing through -2, 2 and -8, 5

Answers

Answer:

-1/2

Step-by-step explanation:

Slope= [tex]\frac{y_{2}-y_{1} }{x_{2}- x_{1} }[/tex].

(5-2)/(-8+2)

Simplify:

3/-6

-1/2

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why did it take so long for the flint water crisis story to break at a national news level? question 3 options: a) no one was really interested in a story that couldn't be proven. b) government officials kept telling journalists the water was safe. c) gm continued using the water in its manufacturing plant, so people aren't concerned. d) journalists were waiting for a state of emergency to be declared. You are engaged in a civic action project for American Government class. You will need to evaluate the credibility of eachsource you use in your project. What are the considerations in evaluating the credibility of sources? Select all of the correctresponses.A the qualifications and reputation of the writer or organizationB the internal consistencyc the cost to purchase the sourceDthe ease of availabilityEthe use of supporting evidence and logical conclusionsF the number of copies sold online Please help me with this escape room due at 12 tonight you have a portfolio that is invested 13 percent in stock r, 52 percent in stock s, and the remainder in stock t. the beta of stock r is .82, and the beta of stock s is 1.37. the beta of your portfolio is 1.34. what is the beta of the stock t? group of answer choices The simultaneous equations mx + ny = 8 and mx-ny = - 10 has a solution x = 2 and y = 3. Find the possible values of the constants m and n. a nurse is teaching a couple about how to use a condom. the nurse determines the couple can properly apply the condom when they state that it should be applied at which time to be most effective? General Motors operates a ________ franchise system.A) product format and trademarkB) product extensionC) product and trademarkD) business formatE) business format and trademarkAnswer: C) product and trademark lets say youve designed a dashboard to give stakeholders easy, automatic access to data about an upcoming event. describe the benefits of using a dashboard. help please quick question[tex]f=\frac{x}{x-1}[/tex]the domain is 1composite f of f is: f(f(x))finding the domain of the composite through [tex]\frac{x}{x-1} =1\\x=x-1\\0=-1\\[/tex]using a graphing calculator, I know that a hole is at (1,1), but can I figure that out without using a graphing calculator and through the domain, say 1=0. Can somebody please just quickly explain this to me. A proton and an electron are placed in an electric field. Which undergoes the lesser acceleration?. TOPIC 5 TEST: Civilizations of AsiaThe Taj MahalTEST BOne of the most fascinatingbuildings in the world is India'smagnificent Taj Mahal, built (1630-48)by Shah Jahan as a symbol of his love forhis favorite wife, Mumtaz Mahal, afterher death. The Taj Mahal is said bymany to be the world's most beautifulstructure. A nineteenth-century visitorwas so impressed that he said all peoplein the world should be divided into twogroups those who had seen the Taj andthose who had not.At first sight, the Taj Mahal seemslike an apparition. Its marble appears tobe blue in the morning, white in theDOWNafternoon, and glowing pink at dusk. Inside the building, the tomb of Mumtaz Mahal, also made ofwhite marble, was originally inlaid with jewels.Even though it exhibits a Persian influence in its perfectly balanced shape, the Taj Mahal is aunique architectural creation of the Moguls, the Muslim dynasty that conquered large areas of India inthe 1500s. Some people even think the haystacks in the surrounding fields served as an inspiration forthe Taj Mahal's great dome.7. According to the passage above, which of the following is an opinion in the reading above?The marble tomb of Mumtaz Mahal was originally inlaid with Jewelsa.b. The shape of the Taj Mahal exhibits a Persian Influence.C.The Taj Mahal is the world's most beautiful structure.d. The Taj Mahal was built as a symbol of love by Shah Jahan.8. According to the passage above, which of the following is a fact in the reading above?a. The design of the Taj Mahal's dome was based on the haystacks in surrounding fieldsb. The Moguls conquered large areas of India in the 1500sc. The Taj Mahal contains two rooms, a tomb, and a lookout tower.d. The Taj Mahal is the most fascinating and beautiful building in the world. Read the excerpt from In the Greenest of Our Valleys, by Edgar Allan Poe.Vast forms that move fantasticallyTo a discordant melody;While, like a rapid ghastly river,Through the pale door,A hideous throng rush out foreverHow does Poe use a sound device in the excerpt?He uses euphony to illustrate the constancy of nature.He uses alliteration to draw attention to the suffering.He uses cacophony to emphasize the evil nature of tragedy.He uses internal rhyme to enhance the rhythm of his lyrical poem. please :)Written Response: In two to four paragraphs, explain the benefits and challenges associated with physical and cultural borders. Provide examples to highlight these benefits and challenges.Provide an example of a place where a physical border has been beneficial.Provide an example of a place where a physical border has created challenges.Provide an example of a place where a cultural border has been beneficial.Provide an example of a place where a cultural border has created challenges. Please help now asap !!!!!!!!!?! In order to be diagnosed with brief psychotic disorder, a person must have symptoms that last no longer than __________. A health club charges a $50 initial fee plus $2 per visit. Brenda has spent a total of $144 at the health club this year. How many visits has she made? Adding NH3 to the stack gases at an electric powergenerating plant can reduce NOx emissions. Thisselective noncatalytic reduction (SNR) process depends on thereaction between NH2 (an odd-electron compound) andNO.NH2 + NO --> N2 + H2OThe following kinetic data were collected at 1200 K. Absence of volting rights for women in democracies If using the method of completing the square to solve the quadratic equation x^2-16x+37=0 which number would have to be added to "complete the square"? humans can produce an output power as great as 20 w/kg during extreme exercise. sloths are not so energetic. at its maximum speed, a 4.0 kg sloth can climb a height of 6.0 m in 2.0 min.