18.What is the perimeter of a rhombus if the length of one side is 8cm?


Answers

Answer 1
In a rhombus, all sides have the same length. Therefore, if one side of a rhombus is 8cm, then all sides are 8cm.

The perimeter of a rhombus is the sum of the lengths of all four sides. Since all sides of this rhombus are 8cm, the perimeter is:

4 x 8cm = 32cm

Therefore, the perimeter of the rhombus is 32cm.

Related Questions

Carla does 25 jumping jacks 3 times per day. How many jumping jacks will Carla do in 7 days?

Answers

Answer: 525 jumping jacks

Step-by-step explanation:

she does 25 x 3 = 75 jumping jacks per day.

so in a week, (7 days) she will do 7 x 75 = 525 jumping jacks

QUESTION 14 Does it make sense to fit this data with a linear, exponential, or logistic model? Choose the best answer. O A. This data fits a linear model because the growth rate is constant. OB. This data fits a logistic model because the growth rate increases and then decreases. OC. This data fits an exponential model because the growth rate increases each time. O D. This data fits a logistic model because the growth rate increases each time. O E. This data fits an exponential model because the growth rate is approximately constant.​

Answers

The best option among the rest is

A. This data fits a linear model because the growth rate is constant.

How to find the best answer

The justification for this is that a linear model is suitable when the growth rate of the data remains constant, suggesting that the relations between the independent and dependent quantities are relative and does not differ through time or with modifications in the input figures.

It would cause a straight-line graph to appear, where the dependent elements change linearly comparable to alterations in the independent variable.

All other selections, B, C, D, and E, aren't applicable according to the given information. As a result, the optimal conclusion is A, conveying that the data abides by a linear model derivable from an unchanging growth rate.

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If someone could help me out with this I would be really grateful

Answers

Answer:

Step-by-step explanation:

Blue line: 0 + -4<x

Black line: 8 - 7<7

Orange: 0=0>y

Green: 1-9<y

Starting points and ending

You want to purchase a new car in 4 years and expect the car to cost ​$76,000. Your bank offers a plan with a guaranteed APR of 4.5if you make regular monthly deposits. How much should you deposit each month to end up with ​$76,000 in 4​years?
Question content area bottom
Part 1
You should invest ​$

enter your response here each month.

Answers

- To purchase a new car in 4 years and expect the car to cost ​$76,000, you need to calculate how much money you need to deposit each month in a bank account that offers a guaranteed APR of 4.5%.

- You can use a formula called PMT to calculate the monthly deposit amount. PMT stands for payment and it is the amount of money you need to pay or deposit each period to achieve a certain future value.

- The formula for PMT is: PMT = ( FV * r) / [ ( (1+r)^n) - 1] where FV is the future value, r is the interest rate per period, and n is the number of periods.

- In your case, FV is $76,000, r is 0.045/12 (because the interest rate is 4.5% per year and there are 12 months in a year), and n is 4*12 (because you want to save for 4 years and there are 12 months in a year).

- Plugging these values into the formula, you get: PMT = (76000 * 0.00375) / [ ( (1+0.00375)^48) - 1] = 1449.72

- This means you should deposit $1449.72 each month to end up with $76,000 in 4 years.

I hope this helps you solve your problem.

1. Which of the following do not belong to the group of numbers


A. Two. B. Three. C. Four. D. Six

Answers

Answer:

three

Step-by-step explanation:

All other numbers are even except three

The number that does not belong to the group is D. Six.

All the other numbers (Two, Three, Four) are prime numbers, while Six is not a prime number as it can be divided evenly by 2 and 3.

The table below shows the educational attainment of a​ country's population, aged 25 and over. Use the data in the​ table, expressed in​ millions, to find the probability that a randomly selected​ citizen, aged 25 or​ over, had .

Answers

The probability of selecting a citizen, aged 25 or over, who had 4 years of college will be 0.2455.

Given that:

The table below shows the educational attainment of a​ country's population, aged 25 and over.

The probability is given as,

P = (Favorable event) / (Total event)

The probability of selecting a citizen, aged 25 or over, who had 4 years of college will be given as,

P = 41 / 167

P = 0.2455

The probability will be 0.2455.

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The complete question is given below.

T/F True Logistic Regression is applied when the Dependent Variable is of Continuous nature.

Answers

It is used in various fields, such as healthcare, marketing, and social sciences.

False. Logistic regression is used when the dependent variable is binary or categorical (i.e., a nominal or ordinal variable). It is not appropriate for continuous dependent variables.

Logistic regression models the probability of an event occurring, where the event is represented by a binary variable (such as yes/no, success/failure, etc.). The output of the logistic regression model is the probability of the event occurring given the values of the independent variables. This probability can take any value between 0 and 1.

The logistic regression model assumes that the log odds of the event occurring (i.e., the logarithm of the probability of the event divided by the probability of its complement) can be modeled as a linear function of the independent variables. The coefficients of this linear function are estimated using maximum likelihood estimation.

Overall, logistic regression is a commonly used technique in statistics and data analysis for modeling the probability of a binary or categorical outcome. It is used in various fields, such as healthcare, marketing, and social sciences.

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12. An inequality is given, where r is a positive rational number.
r.9 <09/1
Jala:
bo
true?

Answers

Since r is a positive rational number, an inequality must also be true include the following: A.) q < 0.

What is a rational number?

In Mathematics, a rational number can be defined a type of number which comprises fractions, integers, terminating or repeating decimals such as the square root of 11.

Next, we would solve the given inequality in order to determine all of the solutions that satisfies the variable q. This ultimately implies that, we would simplify the inequality by cancelling out the variable r as follows;

r × q/r < 0 (r is a positive rational number).

q < 0

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Complete Question:

An inequality is given, where r is a positive rational number.

r • q/r < 0

Which inequality must also be true?

A.) q < 0

B.) q > 0

C.) q < - r

D.) q/r < - r

Find the probability that a day in Dayton will include rain or snow.

Answers

The probability that a day in Dayton will include rain or snow is 38%.

Let's assume that there are 365 days in a year (not considering leap years), and we are aware that Dayton typically experiences 25 days of snow per year, in addition to 110 days of rain. We can add the total number of rainy and snowy days in Dayton and then divide that total by the number of days in a year to determine the likelihood that a given day will be either one of those things:

probability of rain or snow = [tex]\frac{110+25}{365}[/tex]

                                             =0.38

The probability that a day in Dayton will have rain or snow is 0.38 or 38%.

The question is incomplete, complete question is " Dayton is a small town in Ohio, which receives  110 days of rain and 25 days of snow per year. Ignoring leap years, Find the probability that a day in Dayton will include rain or snow."

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New City Insurance Company offers a term life insurance policy with a renewable annual premium. The first year premium is $140. Premiums increase 6% each year. Round to the nearest cent. a. What will the premium be in the second year? b. What will the premium be in the third year? c. What will the premium be in the fifth year?

Answers

a. To find the premium for the second year, we need to increase the first year premium by 6%. We can do this by multiplying the first year premium by 1.06:

$140 * 1.06 = $148.40

Therefore, the premium for the second year is $148.40.

b. To find the premium for the third year, we need to increase the premium for the second year by 6%. We can do this by multiplying the premium for the second year by 1.06:

$148.40 * 1.06 = $157.30

Therefore, the premium for the third year is $157.30.

c. To find the premium for the fifth year, we can use the same method. We need to increase the premium for the fourth year by 6%. To find the premium for the fourth year, we can increase the premium for the third year by 6%:

$157.30 * 1.06 = $166.96

Now we can increase the premium for the fourth year by 6%:

$166.96 * 1.06 = $177.39

Therefore, the premium for the fifth year is $177.39

We need to find the length of each board, so that one piece is five times as long as than the other. Let x represent the length of the longer
piece in feet, and let y represent the length of the shorter piece in feet.
Since the length of the board is 24 ft, we can form the following equation.
The length of the longer piece plus the length of the shorter piece equals 24 feet.
Write this equation using the defined variables for each piece. (Enter simplified answers.)

Answers

A system of linear equations that describes this situation include the following;

x = 5y

x + y = 24

How to write an equation to model this situation?

In order to write a linear equation or function to describe this situation, we would assign variables to the length of the longer piece and the length of the shorter piece in feet respectively, and then translate the word problem into a linear equation as follows:

Let the variable x represent the length of the longer piece in feet.Let the variable y represent the length of the shorter piece in feet.

Since one piece is five times as long as than the other and the length of the longer piece plus the length of the shorter piece equals 24 feet, a system of linear equations or function to describe this situation can be written as follows;

x = 5y

x + y = 24

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Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
F(x) = (x^4/5)((x − 5)^2)

Answers

The critical values of the function are x = 0 and x = 4.

The critical values of a function f(x) are the values of x for which f'(x) = 0.

In this problem, the function is:

f(x) = [tex]\frac{x^4}{5(x-2)^2}[/tex]

The derivative is found as follows, applying the quotient rule:

f'(x) = [tex]\frac{2x^3(x-4)}{5(x-2)^3}[/tex]

The zeros of the function are the zeros of the numerator, thus:

2x³(x-4) = 0

∴ x = 0, 4

Hence, the critical values of the function are x = 0 and x = 4.

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the football team needs a new player. using the data displays, determine an appropriate measure of center and measure of spread for each potential player's data ​

Answers

a) From the box plot of Dwayne's data, the measure of center = 9 and the measure of spread = 5

b)  From the box plot of Mitchell's data,  the measure of center = 10 and the measure of spread = 2

c)  From the box plot of Terry's data,  the measure of center = 10 and the measure of spread = 2

We know that in the box plot the measures of spread include the interquartile range and the mean of the data set.

Whereas, the measures of center include the mean or average and median.

For the Dwayne's box plot the interquartile range is 11 - 6 = 5

And the median is 9

So, the measure of center = 9 and the measure of spread = 5

For the Mitchell's box plot the interquartile range is 11 - 9 = 2

And the median is 10

So, the measure of center = 10 and the measure of spread = 2

For the Terry's box plot the interquartile range is  11 - 9 = 2

And the median is 10

So, the measure of center = 10 and the measure of spread = 2

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Complete the statement: triangle AED~triangle ____

And Find the value of X

Answers

The solution is the value of X is, x = 2.

Here, we have,

from the given diagram,

we get,

from triangle ABC,

AB = 5, AC = 6

and, From triangle ADE,

AD = 10, AE = 12

and, both has same angle A,

so, by SAS rule, both are congruent.

we get,

triangle AED ~ triangle ABC

now, we know that,

here, DE = 2 BC

so, x+12 = 2( 4x-1)

or, x+ 12 = 8x -2

or, x = 14/7

or. x= 2

Hence, the value of X is, x = 2.

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A is a segment whose endpoints are the center of a circle and a point on the circle.

Answers

Diameter is the segment whose end points are on the circle and passing through the center of the circle.

Given a statement.

We have to find the term defined for the statement.

Given a circle.

The end points of the circle are on the circle.

Any line segment whose end points are on the circle is defined as the chord.

If a chord passes through the center of the circle, then it is called the diameter.

Hence the correct term is diameter.

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Your question is incomplete. The complete question must be probably the on as given below.

Identify the term.

A _____ is a segment whose end points are on the circle and passing through the center of the circle.

It is well documented that a typical washing machine can last anywhere between 5 to 20 years. Let the life of a washing machine be represented by a lognormal variable, Y = eX where X is normally distributed. In addition, let the mean and standard deviation of the life of a washing machine be 5 and half years and 3 years, respectively. [You may find it useful to reference the z table.]

a. Compute the mean and the standard deviation of X. (Round your intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.)



b. What proportion of the washing machines will last for more than 11 years? (Round your intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.)



c. What proportion of the washing machines will last for less than 3 years? (Round your intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.)



d. Compute the 70th percentile of the life of the washing machines. (Round your intermediate calculations to at least 4 decimal places and final answer to the nearest whole number.)

Answers

a. The mean of X is μ = ln(5.5) - 0.5 * (ln(3/5.5))^2 ≈ -0.8329. The standard deviation of X is σ = sqrt(ln(3/5.5)^2) ≈ 0.7634.

b. We want to find P(Y > 11) = P(e^X > 11) = P(X > ln(11)) = P(Z > (ln(11) - ln(5.5) + 0.5 * ln(3/5.5)^2) / 0.7634) ≈ 0.0002, where Z is the standard normal distribution.

c. We want to find P(Y < 3) = P(e^X < 3) = P(X < ln(3)) = P(Z < (ln(3) - ln(5.5) + 0.5 * ln(3/5.5)^2) / 0.7634) ≈ 0.0001, where Z is the standard normal distribution.

d. The 70th percentile corresponds to a z-score of z = invNorm(0.7) ≈ 0.5244. Therefore, we want to find the value of y such that P(Y < y) = P(e^X < y) = 0.7. This implies that ln(y) = ln(5.5) - 0.8329 * 0.7634 + 0.5244 * 0.7634, so y ≈ 7.
a. The mean and standard deviation of X are:

mean(X) = ln(5.5) - (1/2) * ln(1 + (3/5.5)^2) ≈ 1.5041 years

std(X) = sqrt(ln(1 + (3/5.5)^2)) ≈ 0.8321 years

b. Let Z be the standard normal variable corresponding to the life of 11 years. Then:

Z = (ln(11) - ln(5.5)) / 0.8321 ≈ 0.9672

Using the z-table, we find that the proportion of the washing machines that will last for more than 11 years is:

P(Z > 0.9672) ≈ 0.1661

c. Let Z be the standard normal variable corresponding to the life of 3 years. Then:

Z = (ln(3) - ln(5.5)) / 0.8321 ≈ -1.4645

Using the z-table, we find that the proportion of the washing machines that will last for less than 3 years is:

P(Z < -1.4645) ≈ 0.0721

d. The 70th percentile of the life of the washing machines corresponds to the standard normal variable Z such that:

P(Z < z) = 0.70

Using the z-table, we find that z ≈ 0.5244. Then:

ln(Y) = mean(X) + z * std(X) ≈ 2.1629

Solving for Y, we get:

Y ≈ e^2.1629 ≈ 8.6913 years

Therefore, the 70th percentile of the life of the washing machines is about 9 years.

PLEASE HELP (WILL GIVE BRAINLIEST)

Answers

Answer: A: 50 ft

Step-by-step explanation:

We need to find the height of this composite figure. We can do so by using the volume formulas, (which include height).

Volume of Figure = Volume of Cylinder + Volume of Hemisphere

26,225.3 = pi r^2 h   +     2/3 pi r^3

26,225.3 = pi 12^2 h + 2/3 pi 12^3

(26,225.3 - 2/3 pi 12^3)/pi 12^2 = h

this simplifies to about 50.

Hence your answer is A

First answer choice :50 ft

One hundred students were asked which fast food restaurants they had visited in the past two weeks. 55 ate at McDonald s, 35 ate at Wendy's, and 20 ate at both restaurants. How many ate at neither?
A) 80
B)10
C)45
D)30

Answers

The number of people who ate at neither McDonald's or Wendy's is given as follows:

D) 30.

How to obtain the number of people who ate at neither place?

Before obtaining the number of people who ate at neither place, we must obtain the number of people who ate at least one place, as follows:

At least one = McDonald's + Wendy's - (McDonald's and Wendy's).

Replacing the values given in this problem, we have that:

At least one = 55 + 35 - 20

At least one = 70.

Considering that 100 students were surveyed, the number of students who ate at neither place is given as follows:

Neither = 100 - At least one

Neither = 100 - 70

Neither = 30 students.

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Combine like terms to simplify the expression: 8y + 4 - 3y + 12?

Answers

Answer: image below

Step-by-step explanation:

netflix has a membership plan in which a person pays a flat fee of $10 plus $2 for each movie rented. Non members pay $4.50 for each movie rented. write a system of equations for each plan

Answers

Let x be the number of movies rented.

For the Netflix membership plan, the total cost C is given by:

C = 10 + 2x

For non-members, the total cost C is given by:

C = 4.5x

Therefore, the system of equations is:

C = 10 + 2x (Netflix membership plan)
C = 4.5x (non-members)

Which of the following functions are vertical translations of f(x)=√x?
Select all that apply.
A. K(x)=√√√-5+x
B. n(x) = -7+ √x
C. g(x)=√x -4
D. h(x)=3+√x
E. m(x)=√5x

Answers

The function that are vertical translations of f(x) are; (B), (C), and (D).

Given that f(x) = √x is the square root function.

We know that vertical translation of a function is a transformation that shifts the graph of the function up or down without changing its shape.

Option (A) K(x)=√√√-5+x is a vertical translation of f(x) because it shifts the graph of f(x) to the right by 5 and then applies three square root operations. so, it is not a vertical translation that shifts the graph up or down.

Option (B) n(x) = -7+ √x is a vertical translation of f(x) due to it shifts the graph of f(x) down by 7 units.

Option (C) g(x)=√x -4 is a vertical translation of f(x) since it shifts the graph of f(x) down by 4 units.

Option (D) h(x)=3+√x is a vertical translation of f(x) since it shifts the graph of f(x) up by 3 units.

Option (E)  m(x)=√5x is not a vertical translation of f(x) since it involves multiplying the input of f(x) by a constant factor of 5.

Therefore, the options that are vertical translations of f(x) are; (B), (C), and (D).

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determine the volume of a sphere with a radius of 4.75 inches round your answer to the nearest hundredth use 3.14 for pie.

Answers

Hi, the answer is 448.92

Answer:

Step-by-step explanation:

V≈448.92in³

r Radius = 4.75
V=4/3πr3=4/3·π·4.753≈448.9205in³

Simplify the expression -2-17+12-(-14)
hurry 100 points and brainlyest

Answers

Step-by-step explanation:

k = a constant of proportionality

Putting m = 1kg, a = 1 ms-2

F becomes 1 N.

So, 1 N = 4 × 1kg × 1 ms-2

∴ k = 1

From equation (1), we have

F = ma

Use the graph to answer the question.

Graph of polygon VWXYZ with vertices at 3 comma 2, 3 comma 0, 6 comma negative 7, 9 comma 0, 9 comma 2. A second polygon V prime W prime X prime Y prime Z prime with vertices at 3 comma negative 10, 3 comma negative 8, 6 comma negative 1, 9 comma negative 8, 9 comma negative 10.

Determine the line of reflection.

Reflection across the x-axis
Reflection across the y-axis
Reflection across x = 6
Reflection across y = −4

Answers

The requried line of reflection is the x-axis.

To determine the line of reflection, we need to find the line that maps each vertex of the first polygon to the corresponding vertex of the second polygon.

We can start by reflecting the first polygon across the x-axis. This will map V to V', W to W', X to X', Y to Y', and Z to Z', as shown below:

First Polygon (VWXYZ) Second Polygon (V'W'X'Y'Z')

(3, 2) V (3, -10) V'

(3, 0) W (3, -8) W'

(6, -7) X (6, -1) X'

(9, 0) Y (9, -8) Y'

(9, 2) Z (9, -10) Z'

Next, we can compare the coordinates of each vertex in the first and second polygons to determine the line of reflection. We notice that reflecting the first polygon across the x-axis negates the y-coordinates of all vertices. Therefore, the line of reflection must be the x-axis.

Therefore, the line of reflection is the x-axis.

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In the last ten years, the population of Brazil has grown at an exponential rate of 0.9% per year to 205,822,685. If this rate continues, what will be the population in 10 more years? (Simplify your answer completely. Round your answer to the nearest whole number.)

Answers

Answer:

To find the population of Brazil in 10 more years, we can use the formula for exponential growth:

A = P(1 + r)^t

where A is the final amount, P is the initial amount, r is the annual growth rate as a decimal, and t is the number of years.

We know that the current population of Brazil is 205,822,685, and the annual growth rate is 0.9%. We want to find the population in 10 more years, so t = 10. Plugging in these values, we get:

A = 205,822,685(1 + 0.009)^10

Simplifying this expression, we get:

A = 205,822,685(1.009)^10

A = 237,832,190.44

Rounding this to the nearest whole number, we get:

A = 237,832,190

Therefore, the population of Brazil in 10 more years will be approximately 237,832,190.

Step-by-step explanation:

Graph the equation using the slope and the​ y-intercept.

Answers

To Graph the equation using the slope and the​ y-intercept is discussed below.

let us consider a equation of line slope intercept form is y= -1/2x - 1.

As, the general form of equation is

y= mx+ b

where m is the slope and b is y intercept

Here in the equation slope= -1/2 and intercept is -1.

To y intercept is value of y when x= 0 then the coordinate in the graph should be (0, -1).

Now, the slope show the change in y wrt to x here if 2 unit in x then 1 unit.

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The applet has eight pairs of triangles. Each group member should choose 1–2 pairs of triangles. Use them to help you answer the following questions.

Which pair(s) of triangles do you have?
Can each pair be composed into a rectangle? A parallelogram?

Answers

I don't have access to the applet you are referring to. Can you please provide more information or context about the applet so I can better assist you?

write 100 min in hour and min

Answers

100 minutes is equal to 1 hour and 40 minutes.
100min is equal to an hour and 30 min

The number of runs scored by the Lions for six games is shown below.
5, 8, 1, 5, 2, 7
If the Lions scored 14 runs in their seventh game, which of the following statements is true?
OA. The median increases and the mean remains the same.
OB. The mean increases and the median remains the same.
OC. The mean and the median both increase.
OD. The median and the mean both remain the same.

Answers

If the Lions in their "seventh-game" scored 14 runs, then the true statement is (b) The mean increases and the median remains the same.

To determine how the additional 14 runs affect the mean and median, we need to calculate the original mean and median.

The mean is the sum of all the runs divided by the number of games:

So, Mean = (5 + 8 + 1 + 5 + 2 + 7)/6 = 28/6 = 4.67,

The median is defined as "middle-value" when data is arranged in order. In this case, the data in order is : 1, 2, 5, 5, 7, 8

So, the median is 5.

If the Lions scored 14 runs in their seventh game, the total number of runs for seven games is:

⇒ 5 + 8 + 1 + 5 + 2 + 7 + 14 = 42,

The new mean is the sum of all the runs for seven games divided by the number of games:

⇒ Mean = 42/7 = 6,

The new data in order is : 1, 2, 5, 5, 7, 8, 14,

So, the new median is also 5.

Comparing the original mean and median to the new mean and median, we can see that:

⇒ The median remains the same.

⇒ The mean increases from 4.67 to 6.

Therefore, the correct option is (b).

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Identify the fractions labeled with the letters A and B on the scale below.

Answers

Answer:Assuming that the number on the end of the number line is a 1 (I cant read it too clearly), this number line goes to 7/7ths so that means A would be 1/7th and B would be 4/7th

Step-by-step explanation: thats how Number lines work

Other Questions
What tragedy led to the formation of the Andrew "Red" Harris Foundation? When Krogstad says, "Look at me now I am a shipwrecked man clinging to a bit of wreckage," what literary device is being used, and what does it mean? the HPV vaccine is most effective when given at what age? Jane figures that her monthly car insurance payment of $170 is equal to 30% of the amount of her monthly auto loan payment. What is her total combined monthly expense for auto loan payment and insurance (rounded to the nearest dollar)? Which Category of small unmanned aircraft must have an airworthiness certificate issued by the FAA?A.4 B.3 C.2 ASelect the correct answer.Which system of linear inequalities is represented by this graphed solution?OA y> -+2V 32-1OB V -2x + 2vs-1OD S-2 +2v < 30-1 how long does it take for buspirone to reach full effect? A set of data items is normally distributed with a mean of 80 and a standard deviation of 9. Convert 71 to a z-score.271 = 0(Type an integer or a decimal.) relative to previous generations, voters who entered the electorate during and just after the great depression were more likely to identify as 1) incoming wastewater, with bod5 equal to about 200 mg/l, is treated in a well-run secondary treatment plant that removes 90 percent of the bod. you are to run a five-day bod test with a standard 300-ml bottle, using a mixture of treated sewage and dilution water (no seed). assume the initial do is 9.2 mg/l. a.) roughly what maximum volume of treated wastewater should you put in the bottle of you want to have at least 2.0 mg/l of do at the end of the test (filling the rest of the bottle with water)? b.) if you make the mixture half water and half treated wastewater, what do would you expect after five days? Expenditures on the military during an economic ___ creates much debate in the country because people prefer to have the money used to stimulate the economy at home. give one word for the following : in a fugue, the opening section, in which each voice in turn has the opportunity to present the subject; in sonata-allegro form, the principal section, in which all thematic material is presented 50. Among the characteristics of the "learning organization" can be included all the following except:A. shared vision.B. systems thinking.C. personal mastery.D. team learning.E. authoritative bureaucratic structure. Solve for x in the equation by factoring and using the zero product property. What is Haemophilus influenzae periorbital cellulitis? Question 2: The set cover problem is defined as follows:SETCOVER = {(B, S1, S2, Sm, K): B is a finite set; m is an integer; S1, S2, Sm are sets with US = B; K is an integer; there exists a subset IC (1.2...., m} of size K, such that UierS = B}.Prove that the language SETCOVER is in NP. Fill the Blank : The ____ of a substance is a measure of how rapidly its individual molecules are moving. Can someone please help me If the volume of the hemisphere of the lime below is 6 cm3, what is the volume of the whole lime?Volume of lime = ___ cm3 Explain major reasons why it is important to keep sufficient inventory? (25 marks) Making people immune to persuasion attempts by exposing them to small doses of arguments against their position is called: a) Attitude inoculation. b) Attitude vaccination. c) Attitude reactance. d) Attitude prevention.