answerrrrrrrrrrrrr please lol

Answerrrrrrrrrrrrr Please Lol

Answers

Answer 1

Answer: I believe it is Rational.


Related Questions

bowl 1 has 5 red and 5 green balls. bowl 2 has 6 red and 4 green balls. a bowl is selected at random and a ball is drawn at random. it turns out to be g. what is the probability that it came from bowl 2?

Answers

The probability that a green ball is chosen from bowl two is 4/9 using Baye's Theorem.

Let M be the event that the ball is green.
Let A be the event that the ball is drawn from bowl one and event b from bowl two.
Bowl one has 5 red balls and 5 green balls. And bowl two has 6 red balls and 4 balls.
Total number of red balls = 5 + 6 = 11
Total number of green balls = 5+ 4 = 9
Total number of balls in bowl one = 5+ 5 = 10
Total number of balls in bowl two = 6 + 4 =10
P(A) = 1/2 = P(B)
P(M/A) = 5/10
P( M/B) = 4/10
A bowl is selected at random and a ball is drawn at random.
Using Baye's Theorem we can solve the problem as,
Probability that ball is chosen is green drawn from bowl two , P(B/M)

= \(\frac{[P(B)P(M/B)]}{[ { P(A)(M/A)} + {P(B)(M/B)}]}\)
= \(\frac{ [ (1/2)(4/10)]}{ [ (1/2)(5/10) + (1/2)(4/10)]}\)
= 4/9

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If x= -8, find x squared.
Help pleaseeeee

Answers

Answer:

64

Step-by-step explanation:

-8^2 = 64

Since 8^2 = 8 * 8 = 64

So: -8^2 = -8 * -8 = 64

The answer is x= 64

Ron wants to rent a car. He is offered two payment options, which are shown in the table. Which number line shows the number of miles that will make Option A less expensive than Option B? Daily Cost ($) 25 10 A B Payment Option A B ++ + 0 10 20 30 40 50 60 70 80 90 100 Cost per Mile ($) 0.15 0.40 011++ 0 10 20 30 40 50 60 70 80 90 100 C++ + 0 10 20 30 40 50 60 70 80 90 100 D4 0 +++ 10 20 30 40 50 60 70 80 90 100​

Answers

The number line that shows the number of miles where A is less expensive has a solution of x > 60

Selecting the number line that shows the number of miles

From the question, we have the following parameters that can be used in our computation:

Option    Daily Cost ($) Cost per mile ($)

   A               25                   0.15  

   B                10                    0.40

So, the cost functions are

A = 25 + 0.15x

B = 10 + 0.4x

Where x is the number of miles

When A is less expensive, we have

25 + 0.15x < 10 + 0.4x

Evaluate the like terms

15 < 0.25x

So, we have

0.25x > 15

Divide

x > 15/0.25

Evaluate

x > 60

Hence, the number line is (a)

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i need to know the answer and the work shown how i got it pleasee help!!!

i need to know the answer and the work shown how i got it pleasee help!!!

Answers

Answer: 13.5

Step by step:

1: the symbol “~” means that the two shapes are congruent in size so you know you have to multiply each side by the same number i.e: multiply all sides by the same number

2: start by taking each side and multiplying them start with the smaller shape to the largest shape

3: i multiplied 5 to get 7.5 and 6 to get 9

4 then take the 9 and multiply it by 1.5 to get your answer

Hope this helps! :)

One hundred and five students see a play. Each ticket costs $45. What is the total amount the students spend for tickets? Use mental math.

Answers

Answer:

4725

Step-by-step explanation:

105 students

think of 100 students

100 × 45 = 4500

now the remaining 5 students

cost for 10 students will be

45 × 10 = 450

divide 450 by 2 to find out for 5 students

it is 225

4500 + 225 = 4725

a game console priced at $428 ia sold for $360. find the discount as a percentage of the selling price

Answers

The discount on the game console is 15.89% of the selling price.

To find the discount as a percentage of the selling price, we first need to calculate the discount amount. This can be found by subtracting the selling price from the original price:

Discount = Original Price - Selling Price

Discount = $428 - $360

Discount = $68

Next, we can calculate the discount as a percentage of the selling price by dividing the discount amount by the selling price and multiplying by 100:

Discount % = (Discount / Selling Price) * 100

Discount % = ($68 / $428) * 100

Discount % = 0.1589 * 100

Discount % = 15.89%

Therefore, the discount on the game console is 15.89% of the selling price.

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2. Is the set of rational expressions closed under multiplication? Explain
(p(x)/q(x)) (r(x)/s(x))

Answers

Answer:

Yes, the set of rational expressions is closed under multiplication.

Step-by-step explanation:

A rational expression is a fraction of polynomials, where the numerator and denominator are both polynomials with coefficients in some field, such as rational numbers. When we multiply two rational expressions, we reproduce two fractions of polynomials.

To multiply two fractions, we multiply their numerators and denominators separately and then simplify the result if possible. When we multiply the numerators and denominators of two rational expressions, we get new polynomials, which are still polynomials with coefficients in the same field. Therefore, the multiplication result is still reasonable, and the set of rational expressions is closed under multiplication.

For example, consider the following two rational expressions:

(a + 1) / (b + 2) and (c - 3) / (d - 4)

Their product is:

[(a + 1) / (b + 2)] * [(c - 3) / (d - 4)]

= (a + 1)(c - 3) / (b + 2)(d - 4)

The result is still rational since the numerator and denominator are both polynomials with coefficients in the same field. Therefore, the set of logical expressions is closed under multiplication.

If Kyle earns $12.50 per hour, how many hours did he work if he earned a total of $400. Set up an equation and solve. Let x = hours.​

Answers

Answer:

32.

Step-by-step explanation:

Here is the equation I used. (x = hours)

$400 = $12.50x

To find how many hours he needs to work, divide both sides by 12.50 to get x by itself.

400/12.50 = 12.50x/12.50

Which equals:

32 = x

Let x = hours.
We have: 12.5 • x = 400
-> x= 400 / 12.5 = 32
So he has been work for 32 hours

Hope it helps! If it is, Brainliest please!

can someone help me pls for 50 pts

can someone help me pls for 50 pts

Answers

Answer:

62 square units

Step-by-step explanation:

Area = 2(lb+lh+bh)

= 2(3×2+3×5+2×5)

= 62

The solid represented by the net is a rectangular prism.

And, The surface area of the solid is , 62.

What is mean by Rectangle?

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

We have to given that;

The solid represented by the net.

Here, We know that;

A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases.

Hence, The solid represented by the net is a rectangular prism.

Here, The length of the rectangular prism (l) = 5

The width of the rectangular prism (w) = 2

The height of the rectangular prism (h) = 3

We know that;

The surface area of the rectangular prism = 2 (wl + hl + hw)

Substitute all the values, we get;

The surface area of the rectangular prism = 2 (2×5 + 3×5 + 3×2)

The surface area of the rectangular prism = 2 (10 + 15 + 6)

The surface area of the rectangular prism = 2 × 31

The surface area of the rectangular prism = 62

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if the premium for same day shipping is 200%. what is the cost to ship 2000 lbs of goods from Houston to Shreveport (240 miles) using same-day shipping?

if the premium for same day shipping is 200%. what is the cost to ship 2000 lbs of goods from Houston

Answers

Solution

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given distance

\(\begin{gathered} Distance=240\text{ miles} \\ premium=200\% \\ cost=2000lbs \\ price\text{ per 100 lbs for 240 miles is \$120} \end{gathered}\)

STEP 2: Calculate the cost

\(\begin{gathered} 100lbs\text{ for 240 miles = \$}120 \\ 2000=x \\ \\ x=\frac{2000\cdot120}{100}=\text{ \$}2400 \end{gathered}\)

STEP 3: Calculate the premium

\(200\%=\frac{200}{100}\cdot2400=\text{ \$}4800\)

STEP 4: Calculate the overall cost to ship required goods

\(\text{ \$}2400+\text{ \$}4800=\text{ \$}7200\)

Hence, the cost to ship 2000 lbs of goods from Houston to Shreveport (240 miles) using same-day shipping is $7200

Help please I don’t get it

Help please I dont get it

Answers

a) The expected number of people to die before their 71st birthday is given as follows: 128.

b) The probability that a 67 year old woman will live to her 68th birthday is given as follows: 0.8876 = 88.76%.

How to calculate a probability?

The parameters that are needed to calculate a probability are listed as follows:

Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

0.025679 of the 70 year old men die, hence the expected number out of 5000 is given as follows:

0.025679 x 5000 = 128.

The probability for item b is given as follows:

0.016798/0.018925 = 0.8876 = 88.76%.

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The function (x) = 0.42x + 50 represents the cost (in dollars) of a one-day truck rental when the truck is
driven x miles.
a. What is the truck rental cost when you drive 85 miles?
b. How many miles did you drive when your cost is $65.96?

Answers

a. The truck rental cost when you drive 85 miles is  $85.7.

b. The number of miles driven when the cost is $65.96 is 0.42x.

a. To find the truck rental cost when driving 85 miles, we can substitute the value of x into the given function.

f(x) = 0.42x + 50

Substituting x = 85:

f(85) = 0.42(85) + 50

= 35.7 + 50

= 85.7

Therefore, the truck rental cost when driving 85 miles is $85.70.

b. To determine the number of miles driven when the cost is $65.96, we can set up an equation using the given function.

f(x) = 0.42x + 50

Substituting f(x) = 65.96:

65.96 = 0.42x + 50

Subtracting 50 from both sides:

65.96 - 50 = 0.42x

15.96 = 0.42x

To isolate x, we divide both sides by 0.42:

15.96 / 0.42 = x

38 = x

Therefore, the number of miles driven when the cost is $65.96 is 38 miles.

In summary, when driving 85 miles, the truck rental cost is $85.70, and when the cost is $65.96, the number of miles driven is 38 miles.

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An phone playlist has songs of various genres
according to the table below. What is the probability
that, of three random songs, the first two are country
and the third is R&B? Once a song is played it will not
be repeated until all other songs are played.

Genre :Number of Songs
Rock: 12
Country :15
R&B :10
Classical :3

Answers

The probability of selecting two country songs followed by an R&B song is 0.0202.

What is the probability?

The probability of selecting two country songs followed by an R&B song is determined below as follows:

The total number of songs in the playlist = 40

The probability of the first song being country = 15/40.

The probability of the second song also being country = 14/39

The probability of the third song being R&B =s 10/38

Therefore, the probability of selecting two country songs followed by an R&B song is:

Probability(country, country, R&B) = (15/40) x (14/39) x (10/38)

Probability(country, country, R&B)  = 0.0202

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PLS HELPP!!!!! Which expression is equivalent to (2^7⋅3^−5 ⋅9)^4?

2^7⋅3^−5⋅9^4

2^11⋅3^−1⋅9^5

2^28⋅3^−20⋅9^4

2^28⋅(−3)^20⋅9^4

Answers

Answer:

2^7⋅3^−5⋅9^4

Step-by-step explanation:

To make marbled paper, Shannon filled a rectangular 10/279 cm by 10/178 dish with water. Then they gently swirled paint on top of the water. Let A represent the area of the dish.

Select 1 multiplication and 1 division equation to represent the relationship.


A) 178/10 x A = 279/10

B) 178/10 x 279/10 = A


A) 279/10 / 178/10 = A

B) A / 178/10 = 279/10

Answers

When Shannon filled a rectangular 10/279 cm by 10/178 dish with water, the area is B) 178/10 x 279/10 = A and A / 178/10 = 279/10

How to illustrate the information?

It should be noted that in order to make the paper, Shannon filled a rectangular 10/279 cm by 10/178 dish with water and then they gently swirled paint on top of the water.

Therefore, the area of the rectangular paper as illustrated will be calculated by multiplying the dimensions given. This will be:

Area = Length × Width

Area = 10/279 × 10/178

Therefore, based on the information, it should be noted that the correct option is B.

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Answer:

b and d

Step-by-step explanation:

Pls answer quick if you don’t mind.

Pls answer quick if you dont mind.

Answers

Answer:

A

Step-by-step explanation:

if x=19, 19x3 =57 and 57+123=180 and straight angle = 180 so A

Answer:

X=19

Step-by-step explanation:

123 and 3x are supplementary/they equal 180 added together.

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

123+3x=180

Step 1: Simplify both sides of the equation.

3x+123=180

Step 2: Subtract 123 from both sides.

3x+123−123=180−123

3x=57

Step 3: Divide both sides by 3.

3x/3 = 57/3

x=19

Have a splendid day.

PS. I like your bakugo profile picture.

The lot is 48 feet wide.
The dividers are each 2 feet wide.
how wide would each space be?

Answers

Answer:

24

Step-by-step explanation:

48 divided by 2 is 24.

3 9/12 + (4 7/12 + 5/12) = 3 9/12 + ____?

3 9/12 + (4 7/12 + 5/12) = 3 9/12 + ____?

Answers

Answer:

5

Step-by-step explanation:

4 7/12 + 5/12 = 4 12/12 which equals 5

Answer:

3 9/12 + (4 7/12 + 5/12) = 3 9/12 + 5

Step-by-step explanation:

4700 people attended a football game. If 2% of the people who attended were
teenagers, how many teenagers attended the game?
Insert the values given in the problem then scale up or
down to find the missing value.
attendees
percent
100

4700 people attended a football game. If 2% of the people who attended wereteenagers, how many teenagers

Answers

The number of teenagers in the game are 94.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, 4700 people attended a football game.

Here, 2% of the people who attended were teenagers

So, the number of teenagers are

2% of 4700

= 0.02×4700

= 94

Therefore, there are 94 teenagers attended the game.

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I will give BRAINILEST

I will give BRAINILEST

Answers

Answer:

i think it is 24

i think it is Step-by-step explanation:

Answer:

The players club is playing with the players

Step-by-step explanation:

give me a good Answer to my Question

What is the scale factor of this dilation? a:1/2 b:2/3 c:3/4 d:3/2

I will give BRAINILEST

all students press space to open convenience sampling press space to open snowball sampling press space to open college students press space to open psychology students press space to open simple random sampling

Answers

Convenience sampling and snowball sampling are non-probability sampling methods, while simple random sampling is a probability-based method used in research.

Convenience sampling involves selecting participants based on their availability or proximity, leading to a biased sample that may not be representative of the population.

Snowball sampling relies on participants referring others with similar characteristics, potentially leading to a chain of referrals.

College students and psychology students represent specific subgroups within the larger student population and may be targeted for research purposes.

In contrast, simple random sampling involves randomly selecting participants from the entire population, ensuring that each member has an equal chance of being included.

This method provides a more unbiased representation of the population, making it useful for generalization and statistical analysis.

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write an equation of the parabola in vertex form that passes through points

Answers

The equation of the parabola in vertex form that passes through the points (-2, 4) and (1, 0):

y = -2(x + 1)^2 + 2

The vertex form of a parabola is y = a(x - h)^2 + k, where (h, k) is the vertex of the parabola. In this case, the vertex is (-1, 2), so we can write the equation as y = -2(x + 1)^2 + 2.

To find the vertex of the parabola, we can take the average of the x-coordinates of the two points, and then take the average of the y-coordinates of the two points. The average of the x-coordinates is (-2 + 1)/2 = -0.5, and the average of the y-coordinates is (4 + 0)/2 = 2. Therefore, the vertex is (-0.5, 2).

Once we know the vertex, we can find the value of a by substituting the vertex coordinates into the vertex form of the parabola. Substituting (-0.5, 2) into the equation y = a(x - h)^2 + k, we get 2 = a(-0.5 - (-1))^2 + 2. Simplifying, we get 2 = a(0.25) + 2. Solving for a, we get a = -2.

Plugging in a = -2 into the vertex form of the parabola, we get y = -2(x + 1)^2 + 2. This is the equation of the parabola in vertex form.

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The equation of the parabola in vertex form that passes through the points (-2, 4) and (1, 0):

y = -2(x + 1)^2 + 2

The vertex form of a parabola is y = a(x - h)^2 + k, where (h, k) is the vertex of the parabola. In this case, the vertex is (-1, 2), so we can write the equation as y = -2(x + 1)^2 + 2.

To find the vertex of the parabola, we can take the average of the x-coordinates of the two points, and then take the average of the y-coordinates of the two points. The average of the x-coordinates is (-2 + 1)/2 = -0.5, and the average of the y-coordinates is (4 + 0)/2 = 2. Therefore, the vertex is (-0.5, 2).

Once we know the vertex, we can find the value of a by substituting the vertex coordinates into the vertex form of the parabola. Substituting (-0.5, 2) into the equation y = a(x - h)^2 + k, we get 2 = a(-0.5 - (-1))^2 + 2. Simplifying, we get 2 = a(0.25) + 2. Solving for a, we get a = -2.

Plugging in a = -2 into the vertex form of the parabola, we get y = -2(x + 1)^2 + 2. This is the equation of the parabola in vertex form.

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Why do we square the residuals when using the least-squares line method to find the line of best fit?

Answers

We square the residuals when using the least-squares line method to find the line of best fit because we believe that huge negative residuals (i.e., points well below the line) are just as harmful as large positive residuals (i.e., points that are high above the line).

What do you mean by Residuals?

We treat both positive and negative disparities equally by squaring the residual values.  We cannot discover a single straight line that concurrently minimizes all residuals. The average (squared) residual value is instead minimized.

We might also take the absolute values of the residuals rather than squaring them. Positive disparities are viewed as just as harmful as negative ones under both strategies.

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There are 40 tudent in the math club and 35 percent of them are ixth grader how many tudent in the math club are not ixth grader

Answers

Answer: 14

Step-by-step explanation: just trust me i can do this very well :)

How do we find the "rate of change"

Answers

Answer:   To find the average rate of change, divide the change in y-values by the change in x-values

Step-by-step explanation:

Frances can complete 91 oil changes in 7 days.
How many oil changes can Frances complete in 11 days?

Answers

Answer:

143. Divide 91/7 = 13, then take the number of oil changes per day and times it by 11. 13 x 11 = 143.

Step-by-step explanation:

Answer:

113.75

Step-by-step explanation:

Since 11 days is only 4 days away from 11, divide 91 / 4 = 22.75. Add this number to 91 to get the answer.

Using graphing, what are the approximate solutions to this equation? |2x-3|=log(2x-3)+2

Using graphing, what are the approximate solutions to this equation? |2x-3|=log(2x-3)+2

Answers

The approximate solutions are: x = 1.505 and x = 2.688

Equation solutions

The solutions to an equation can be solved by graphing calculators and by solving them explicitly.

The equation is given as:

\(|2x-3|=\log(2x-3)+2\)

Start by splitting the given equation, as follows:

\(|2x-3|=0\),\(\log(2x-3)+2 =0\)

Rewrite the above equations as follows:

\(y = |2x-3|\).\(y = \log(2x-3)+2\)

The graphs

Plot the graphs of the above equations (see attachment).

From the graph, the equations intersect at the following points

x = 1.505x = 2.688

Hence, the approximate solutions are: x = 1.505 and x = 2.688

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Using graphing, what are the approximate solutions to this equation? |2x-3|=log(2x-3)+2

0.96 x 0.12 step by step pls

Answers

Answer:

0.1152

Step-by-step explanation:

multiply 0.96 by 0.12 to get 0.1152.

Please answer correctly !!!!! Will mark brainliest !!!!!!!!!!!

Please answer correctly !!!!! Will mark brainliest !!!!!!!!!!!

Answers

Answer:

9 degrees Celsius

Step-by-step explanation:

I graphed the function on the graph below to find the maximum of the parabola. The maximum is at (9,200), which means at 9 degrees Celsius, there are 200,000 fish.

Please answer correctly !!!!! Will mark brainliest !!!!!!!!!!!

The temperature at which there will be maximum number of fishes is given by the point (9, 200), is it is 9 degrees.

Given data:

To find the temperature that will result in the maximum number of fish, determine the x-value (temperature) at the vertex of the quadratic function.

The given function is P(x) = -2(x - 9)² + 200, where P(x) represents the fish population in thousands and x represents the water's temperature.

The general form of a quadratic function is y = a(x - h)² + k, where (h, k) represents the vertex of the parabola.

The vertex form of the function is P(x) = -2(x - 9)² + 200.

Comparing this to the general form, the vertex of the parabola is at the point (9, 200).

Hence, the temperature that will result in the maximum number of fish is 9 degrees (the x-value of the vertex).

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You are buying plants and soil for your garden. The soil cost $4 per bag and the plants cost $10 each. You want to buy at least 5 plants and can spend no more than $100. Write a system of linear inequalities to model the situation.

Answers

Answer:

The system of linear inequalities to model the situation is written as:

x + y ≥ 5..... Equation 1

4x + 10y ≤ 100..... Equation 2

Step-by-step explanation:

Let

The number is soil = x

The number of plants = y

You are buying plants and soil for your garden.

You want to buy at least 5 plants

At least = greater than or equal to with the inequality sign(≥)

Hence:

x + y ≥ 5..... Equation 1

The soil cost $4 per bag and the plants cost $10 each and can spend no more than $100.

No more than means Less than or equal to with the inequality sign( ≤ )

Hence:

$4 × x +$10 × y ≤ $100

= 4x + 10y ≤ 100..... Equation 2

Therefore, the system of linear inequalities to model the situation is written as:

x + y ≥ 5..... Equation 1

4x + 10y ≤ 100..... Equation 2

Other Questions
Thank you! Picture down below A heavy dart and a light dart are launched vertically by identical ideal springs. Both springs were initially compressed by the same amount. There is no significant air resistance. Which of the following statements about these darts are correct? (There could be more than one correct choice.)the light dart goes higher than the heavy dartat maximum height, both darts have the same gravitational potential energy Compare the interest earned by $9000 for five years at 8% simple interest with interest earned by the same amount for five years at 8% compounded annually. The simple interest earned is $ Bo 1 (round to the nearest dollar. Do not use commas as the separator). The compound interest earned is $ Bo 2 (round to the nearest dollar. Do not use commas as the separator) Work out the total cost of the bottles of orange squash Jill needs to buy. which statement best explains how the scarcity of resources affected the relationship between Natvir Americans and European settlers Use the binomial theorem to find the coefficient of x18y2 in the expansion of (2x3 4y2); what federal law was extended in 2020 by the supreme court to provide employment protections to lesbian, gay, and transgender individuals? PLS PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS A farmer has a rectangular garden plot surrounded by 200 ft of fence. Find the length and width of the garden if its area is 2475 ft2. Match the following items.1. animosity the act of putting the needs of others first 2. coalition a difficult or intimidating situation or challenge 3. consternation completely opposite or different 4. daunting a union or alliance between a number of people or nations 5. deference to feel fear or anxiety over a difficult situation 6. diametrical to feel anger or hostility toward a person or thing For exercise, Angela will run and walk for up to 60 minutes. she will run for more than 20 minutes.Let r represent the number of minutes Angela spends running and w represent the number of minutes she spends walking. Identify two inequalities that represent this situation. Rebecca solved 45 + 2 20. Her answer was 5 5 . Is she correct? If not, explain and correct the error. In circle J with m/HJK 126 and HJ = 14 units, find the length of arc HK.Round to the nearest hundredth.HK a cylinder with a piston contains 0.2 kg of water at 100 degrees c. what is the change in internal energy of the water when it is converted to steam at 100 degrees c at a constant pressure of 1 atm? the density of water is 1000 kg/m^3 and that of steam is 0.6 kg/m^3. the latent heat of vaporization of water is 2.26e 06 j/kg. How do monsoons affect some places with humid tropical climates? (I'm not going to get an answer in time, but this is for people in the future who are going to need it)Which reigon represents the solution to the given system of inequalities Read the passage from "The Tell-Tale Heart.It is impossible to say how first the idea entered my brain; but once conceived, it haunted me day and night. Object there was none. Passion there was none. I loved the old man. He had never wronged me. He had never given me insult. For his gold I had no desire. I think it was his eye! yes, it was this! He had the eye of a vulturea pale blue eye, with a film over it.The best summary of the internal conflict in the passage is that the narrator When a fixed annuity owner pays his/her insurance company a monthly annuity premium, where is this money placed? The percentage changes in annual earnings for a company are approximately normally distributed with a mean of 5% and a standard deviation of 12%. The probability that the average change in earnings over the next five years will be greater than 15.5% is closest to: One response to Mischel's critique asserts that a fair review of the research on the predictability of behavior from personality traits indicates that ________.