does 9, 13, 16 make a right triangle ​

Answers

Answer 1

Answer:

no it makes an acute angle

Step-by-step explanation:

9+13+16=38

to be a right triangle they need to equal 90


Related Questions

Write the following equation in slope-intercept form and identify the slope and y-intercept.
X + y = 12
The equation in slope-intercept form is y =​

Answers

Answer:

Your answer is

slope is -1

y intercept is 12

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Formula of the area of a trapezoid

Answers

Answer:

\(A = \frac{a+b}{2} + h\)

Step-by-step explanation:

A is the area. a and b are the lengths of the two bases. h is the height of the trapezoid.

Answer:

Step-by-step explanation:

A=\(\frac{base1+base2}{2}height\)

Mikel is trying to save for college expenses. He has a job, but can only afford to put $20 per month aside. He has 4 years until he will need to pay for college. How much will he have saved by the end of 4 years?

Answers

Answer:

960

20 times 12 moths to get 240 then multiply that by 4 years and get 960 .

Step-by-step explanation:

sorry if wrong ]

have a good day /night

may i pleae have a branlliest .

20 x 12=240 x 4 =960

Answer:

960

Step-by-step explanation:

A rotating lawn sprinkler sprays water in a circular area of grass, as shown in the picture. The diameter of the circular area of grass is 16 ft.

A rotating lawn sprinkler sprays water in a circular area of grass, as shown in the picture. The diameter

Answers

Answer: G) 50.24

Step-by-step explanation: you have to find the circumference of the circle. Since you already have the diameter which is 16 all you have to do is multiply that by 3.14. If you only had the radius then you will have to multiple the radius times 2 times 3.14. The formulas for circumference are: pi(3.14) x diameter or pi(3.14) x radius x 2

The data below represents the relationship between the number of incidences of UFO sightings in late 1930s and


early 1940s Draw a scatter plot for the data

Answers

The scatter plot represents the relationship between the number of incidences of UFO sightings in the late 1930s and early 1940s. It visually displays the data points and helps identify any patterns or trends in the data.

To create the scatter plot, we plot each data point on a coordinate plane. The x-axis represents the time period (late 1930s and early 1940s), and the y-axis represents the number of UFO sightings. Each data point consists of an x-coordinate and a y-coordinate, representing a specific time period and the corresponding number of UFO sightings.

By plotting all the data points and connecting them with dots, we can observe the distribution of the data and look for any patterns or trends. This visual representation allows us to easily analyze the relationship between the variables and make interpretations about the data.

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I need help with this

I need help with this

Answers

a) Since the triangles are congruent, and ΔABC is congruent to ΔDEF, segments AB and DE have the same value. Therefore, you can use algebra to solve for x when using the knowledge that (12 - 4x) is equal to (15 - 3x).

To solve:

12 - 4x = 15 - 3x

12 = 15 + x

-3 = x

Therefore, x is equal to -3.

b) To find the value of AB, plug in the value of x found in part a).

12 - 4x

12 - 4(-3)

12 - (-12)

12 + 12 = 24

Thus, segment AB is equal to 24.

c) As shown in part b), plug in the value of x found in part a) to find the value of segment DE.

15 - 3x

15 - 3(-3)

15 - (-9)

15 + 9 = 24

Thus, segment DE is also equal to 24.

We can confirm the knowledge of the equal side lengths because the triangle are congruent. This means that all the side lengths in the triangle are the same, which is confirmed when algebraically plugging in the value of x to solve for the values of the segments AB and DE.

I hope this helps!

A bee flies at 6 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 14 minutes, and then flies directly back to the hive at 4 feet per second. It is away from the hive for a total of 17 minutes. What equation can you use to find the distance of the flowerbed from the hive?

Answers

The equation that can be used to find the distance of the flowerbed from the​ hive is as follows:

10d/24 = 180

How to find distance?

Distance is the total movement of an object without any regard to direction.

Therefore, distance can be represented mathematically as follows;

speed = distance / time

distance = speed × time

time = distance / speed

Hence, the first journey from the flowerbed to the hive is 6 ft per seconds.

t₁ = d / 6

The second journey.

t₂ = d / 4

The total time the bees use to fly = 17  - 14  = 3 minutes = 180 seconds

Therefore,

t₁ + t₂ = d / 6 + d / 4

t₁ + t₂ = 4d + 6d / 24

t₁ + t₂ =  10d / 24

The equation that can be used to find the distance of the flowerbed from the​ hive is as follows:

10d/24 = 180

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Consider the function f(x)=9x+4x^â1. For this function there are four important intervals: (â[infinity],A], [A,B) (B,C], and [C,[infinity]) where A, and C are the critical numbers and the function is not defined at B.
Find A
and B
and C

Answers

For this function, A is -2/3, B is 0 and C is 2/3.

To find the critical numbers of the function f(x) = 9x + 4\(x^{-1}\) , we need to find the values of x where the derivative of the function is equal to zero or undefined.

The derivative of f(x) is:

f'(x) = 9 - 4\(x^{-2}\) = 9 - 4/\(x^{2}\)

To find where the derivative is equal to zero, we set f'(x) = 0 and solve for x:

9 - 4/\(x^{2}\)  = 0

4/\(x^{2}\)  = 9

\(x^{2}\) = 4/9

x = ±2/3

Therefore, the critical numbers of f(x) are x = 2/3 and x = -2/3.

To find the intervals where the function is not defined, we need to look for values of x that make the denominator of the expression 4\(x^{-1}\)  equal to zero. In this case, the function is not defined at x = 0.

Now we need to determine the sign of the derivative in each of the intervals (−∞,A], [A,B), (B,C], and [C,∞).

For x < -2/3, f'(x) is negative because 4/\(x^{2}\)  is positive and 9 is greater than 4/\(x^{2}\) . Therefore, the function is decreasing on the interval (−∞,−2/3).

For −2/3 < x < 0, f'(x) is still negative because 4/\(x^{2}\)  is positive and 9 is still greater than 4/\(x^{2}\) . Therefore, the function is decreasing on the interval (−2/3,0).

For 0 < x < 2/3, f'(x) is positive because 4/\(x^{2}\)  is positive and 9 is less than 4/\(x^{2}\) . Therefore, the function is increasing on the interval (0,2/3).

For x > 2/3, f'(x) is still positive because 4/\(x^{2}\)  is positive and 9 is still less than 4/\(x^{2}\) . Therefore, the function is increasing on the interval (2/3,∞).

Finally, the function is not defined at x = 0, so the interval [A,B) is (−∞,0) and the interval (B,C] is (0,∞).

Therefore, we have:

A = -2/3

B = 0

C = 2/3

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3 (3x+5)=2 (2x-5) solve for x

Answers

Answer:

-5

Step-by-step explanation:

3(3x + 5) = 2(2x - 5)

9x + 15 = 4x - 10

9x - 4x = -15 - 10

5x = - 25

x = -5

The answer is x=-5

Here’s the steps:

3(3x+5)=2(2x-5)
Distribute
9x+15=4x-10
Subtract 4x from each side
5x+15=-10
Subtract 15 from each side
5x=-25
Divide each side by 5
x=-5

in a short string of holiday lights, when at least one bulb in the string stops working then all of the lights go out. assume that each bulb works or fails independently of the other bulbs, and suppose that each bulb has a 98% chance of working throughout the holiday season. on a string of twelve bulbs, what is the probability that at least one bulb will stop working during the holiday season, making all of the lights go out on the string?

Answers

The probability that at least one bulb out of 12 will stop working during holiday season making all of lights go out on string is given by 0.2153.

Number of bulbs working throughout the holiday season = 12

Chance of each bulb working throughout the holiday season = 98%

Let A be the event that at least one bulb stops working during the holiday season, .

Making all of the lights go out, and let B be the event that all bulbs work throughout the holiday season.

Find P(A), the probability of event A.

Use the complement rule to find P(A),

P(A) = 1 - P(B)

To find P(B), we need to calculate the probability that each of the twelve bulbs works throughout the holiday season,

0.98¹² = 0.7847

So, the probability that all bulbs work throughout the holiday season is 0.7847.

This implies,

P(A) = 1 - P(B)

       = 1 - 0.7847

       = 0.2153

Therefore, probability that at least one bulb will stop working during  holiday season, making all of the lights go out on the string is 0.2153.

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What is the measure of AC?

What is the measure of AC?

Answers

Answer:

A. 136 degrees

Answer:

it was 88 for me

Step-by-step explanation:

round the decimal two hundred fourteen and five hundred fifty seven thousandths to the nearest tenth​

Answers

Answer:

214.6

Step-by-step explanation:

214.557 -> 214.6

Two hundred fourteen and five hundred fifty-seven thousandths to the nearest tenth​ will be 214.6.

What is Algebra?

Algebra is the study of graphic formulas, while logic is the interpretation among those signs.

Two hundred fourteen and five hundred fifty-seven.

The expression in mathematical form thousandths to the nearest tenth​, we have

⇒ 514.557

⇒ 214.6

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Twenty-five bakery customers were surveyed to determine if they like cake or pie. The results are shown in the venn diagram. Given that a randomly chosen customer likes cake, what is the probability that the customer also likes pie?.

Answers

The probability that a randomly chosen customer who likes cake also likes pie is 2/3 or 0.6

To find the probability that a customer who likes cake also likes pie, we need to look at the overlap between the cake and pie circles in the Venn diagram. The diagram shows that 10 customers like both cake and pie, out of a total of 25 customers surveyed.

So, the probability that a randomly chosen customer who likes cake also likes pie is:

P(pie | cake) = number of customers who like both cake and pie / number of customers who like cake

P(pie | cake) = 10/15

P(pie | cake) = 2/3

Therefore, the probability that a randomly chosen customer who likes cake also likes pie is 2/3 or 0.67.

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Answer: 2/3

Step-by-step explanation:

right angled triangle calc: find b, a=5, c=13

Answers

B equals 12, hope this helps!

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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Determine whether the probabilities below are computed using the classical​ method, empirical​ method, or subjective method.
The probability of having six girls in an six​-child family is 0.015625.
A.Empirical method
B.Classical method
C.Subjective method
D.It is impossible to determine which method is used.

Answers

The given probability of having six girls in a six-child family is 0.015625. To determine the method used to compute this probability, we need to analyze the information provided.

The Classical method is based on theoretical assumptions and probabilities calculated using mathematical principles. It assumes equally likely outcomes and relies on counting favorable outcomes over the total number of possible outcomes.

The Empirical method involves gathering data from observations or experiments to estimate probabilities. It relies on observed frequencies and relative frequencies to compute probabilities. However, the given probability does not suggest a sample or data collection, making it unlikely that the Empirical method was used.

The Subjective method involves assigning probabilities based on personal judgment or opinions. Individuals subjectively evaluate the likelihood of an event based on their own beliefs or knowledge.

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Nicole won 85 super bouncy balls playing
the bean bag toss at her school's game
night. Later, she gave four to each of her
friends. She only has 5 remaining. How
many friends does she have?

Answers

Answer:

20 friends

Step-by-step explanation:

85 balls - 5 remaining = 80

80 ÷ 4 balls each = 20 friends

If you show your work I will mark you brainliest!! 9th grade math

If you show your work I will mark you brainliest!! 9th grade math

Answers

Answer:

isolate the variable by dividing each side by factors that don't contain the variable. ANS: x>3

Answer:

do in steps as shown below

Step-by-step explanation:

Given)    x+6-2(x-4)+5x-9 > -2/3(9x+18)-(24x-100)+19

step 1)    x+6-2x+8+5x-9 > -6x-12-24x+100+19

step 2)   4x+5 > -30x+107

step 3)    34x > 102

step 4)    X > 3         (b/c 102/34=3)  :)

step 5)  So any number greater than 3, will make this a true, and accurate statement.  

The length of a rectangle is 19 centimeters less than its width. Its area is 20 square centimeters. Find the dimensions of the rectangle.

Answers

The dimensions of the rectangle are width = 20 centimeters and length = 1 centimeter.

Let's denote the width of the rectangle as "w" centimeters. According to the problem, the length of the rectangle is 19 centimeters less than its width, so the length can be expressed as "w - 19" centimeters.

The formula for the area of a rectangle is length multiplied by width. In this case, the area is given as 20 square centimeter

Area = Length × Width

20 = (w - 19) × w

To solve this equation, we can expand it:

20 = \(w^2\) - 19w

Rearranging the equation to bring everything to one side:

\(w^2\) - 19w - 20 = 0

Now, we can factor the quadratic equation:

(w - 20)(w + 1) = 0

Setting each factor equal to zero and solving for "w":

w - 20 = 0 --> w = 20

w + 1 = 0 --> w = -1

Since a negative width doesn't make sense in this context, we discard w = -1.

Therefore, the width of the rectangle is 20 centimeters (w = 20).

To find the length, we substitute this value back into the expression for length:

Length = w - 19

Length = 20 - 19

Length = 1 centimeter

So, the dimensions of the rectangle are width = 20 centimeters and length = 1 centimeter.

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Help will give brainlest! Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral.

Help will give brainlest! Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the

Answers

Answer:

Angle a=92, angle c=88, angle b=100, angle d=80

Step-by-step explanation:

Question 6 Next, you select the basic statistics that can help your team better understand the ratings system in your data. Assume the first part of your code is: trimmed_flavors_df %>% You want to use the summarize() and mean() functions to find the mean rating for your data. Add the code chunk that lets you find the mean value for the variable Rating.

Answers

Based on the ratings system and the summarize() and mean() functions, the code chunk to add is summarize(mean(Rating)) and the mean rating is 3.185933.

How do you find the mean rating?

To find the mean rating, the complete code should be trimmed_flavors_df %>% summarize(mean(Rating)).

This code would allow you to see the mean rating of your data by combining the summarize() and mean() functions such that you can display summary statistics.

Because of the "mean()" function, the statistic that will be displayed is the mean rating which in this case would be 3.185933.

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Rose is trying to open up a lemonade stand for her kids, but she wants to find
the best deal for the supplies since she only has $48 to spend. She is looking at
the prices of multiple grocery stores and wondering if there are any
combinations of supplies that would cost the same amount at each store.
Foods-R-Us: The price of cups is $12 and lemons are $6. 18
Foodtopia: The price of cups is $8 and lemons are $8. 16
a. Create an equation in standard form to represent the quantities of each
item that can be purchased at each store.
Foods-R-Us Equation:
Foodtopia Equation:

Answers

Answer:

Foods-R-Us Equation: 12x + 6y = 48

Foodtopia Equation: 8x + 8y = 48

Suppose that we have a sample space with five equally likely experimental outcomes: E1,E2,E3,E4,E5. Let A={E2,E3}
B={E1,E4}
C={E1,E3,E5}. (a) Find P(A),P(B), and P(C)

Answers

In a sample space with five equally likely experimental outcomes, each outcome has a probability of 1/5.

(a) To find the probabilities P(A), P(B), and P(C), we need to calculate the probabilities of the events A, B, and C.

P(A) = Probability of event A

= Probability of outcomes E2 or E3

= Probability(E2) + Probability(E3)

= 1/5 + 1/5

= 2/5

P(B) = Probability of event B

= Probability of outcomes E1 or E4

= Probability(E1) + Probability(E4)

= 1/5 + 1/5

= 2/5

P(C) = Probability of event C

= Probability of outcomes E1, E3, or E5

= Probability(E1) + Probability(E3) + Probability(E5)

= 1/5 + 1/5 + 1/5

= 3/5

Therefore, P(A) = 2/5, P(B) = 2/5, and P(C) = 3/5.

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A shoe store recorded the number of customers who made a purchase out of a sample of 100 customers who entered the store each day. The boxplot shown summarizes the recorded data for one year. Based on the boxplot, which of the following statements is true?

A. The range of the number of customers making a purchase is greater than 32.

B. The interquartile range of the number of customers making a purchase is 25.

C. The number of days that had at least 26 customers making a purchase is greater than the number of days that had at most 11 customers making a purchase

D. The number of days that had from 11 to 26 customers making a purchase is equal to the number of days that had at most 14 customers making a purchase.

E.The difference between the median and the lower quartile for the customers making a purchase is less than 2.

Explain your thinking.

A shoe store recorded the number of customers who made a purchase out of a sample of 100 customers who

Answers

Less than 2 units separate the median from the lower quartile for customers making purchases.

What is meant by quartile deviation?

The three values known as quartiles divide sorted data into four equal-sized portions, each with an equal number of observations. An example of a quantile is a quantile. First quartile: Also referred to as the lower quartile or Q1. The median or second quartile is also referred to as Q2. Third quartile: Also referred to as the higher quartile or Q3.

Half of the difference between the upper and lower quartiles can be used to define the quartile deviation analytically. Here, the upper quartile (Q3) and lower quartile (Q1) can be used to depict quartile deviation as the letters QD. The term "quartile deviation" is sometimes used to refer to the semi-interquartile range.

The coefficient of quartile deviation serves as a gauge for a collection of data's variability or spread. It is determined by taking the square root of the difference between the upper and lower quartiles, squaring the result, and dividing it by two. Comparing data sets is simple because it is expressed as a percentage.

Therefore, the correct answer is option E. The difference between the median and the lower quartile for the customers making a purchase is less than 2.

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2+2+4+4= ?
1/2x3/4=?
9x9=?
8x2=?

Answers

Answer:

12,1/2,81,16

Step-by-step explanation:

you just solve it

Answer:

Step-by-step explanation:

Examples

Quadratic equation

x

2

−4x−5=0

Trigonometry

4sinθcosθ=2sinθ

Linear equation

y=3x+4

Arithmetic

699∗533

Matrix

[

2

5

 

3

4

][

2

−1

 

0

1

 

3

5

]

Simultaneous equation

{

8x+2y=46

7x+3y=47

Differentiation

dx

d

 

(x−5)

(3x

2

−2)

Integration

0

1

xe

−x

2

dx

Limits

x→−3

lim

 

x

2

+2x−3

x

2

−9

PLSSS HELP IF YOU TURLY KNOW THISS

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

Step-by-step explanation:

I am not sure if this is right but this is the closest I can get -y32 + y + 100

I'm sorry if its wrong :(

Answer:

-3y² + y + 100

Step-by-step explanation:

Given expression,

→ -3y² - 3y + 4y + 100

Simplifying the given expression,

→ -3y² - 3y + 4y + 100

→ -3y² (-3y + 4y) + 100

→ -3y² + y + 100

Hence, answer is -3y² + y + 100.

Table for a linear equation
Fill in the table using this function rule.
y = -10x + 1
x y
-5
-1
0
1

Table for a linear equation Fill in the table using this function rule.y = -10x + 1 x y-5 -1 0 1

Answers

Answer:

x:     y :

-5  |  51

-1   |  11

0   |  1

1    |  11

Step-by-step explanation:

y = 10x + 1

(Table)

x:      y:

-5  |

-1   |

0   |

1    |

Lets begin plugging in our (x) into the function(x = -5)

y = -10(-5) + 1

y = 50 + 1     (if you multiply a negative by a negative it will be positive)

y = 51

(x = -1)

y = -10(-1) + 1

y = 10 + 1

y = 11

(x = 0)

y = -10(0) + 1

y = 0 + 1

y = 1

(x = 1)

y = -10(1) + 1

y = 10 + 1

y = 11

Plug into the table

(table)

x:     y :

-5  |  51

-1   |  11

0   |  1

1    |  11

If you have any questions feel free to ask:)

List the possible values of a for which a squared is between 6 and 7 and a is a natural number

Answers

Answer:6.5 7.5

Step-by-step explanation:

I know you can do this if you need help you can contact me

Let A,B, and C be the matrices with sizes 2×2,2×3, and 3×2 respectively. Which of the following is/are true? (select all that apply) If the product AB=0 (zero matrix), then either A=0 or B=0. Both BC and CB are square matrices. The matrix A+BC is defined. A=Al2​=I2​ A, where I2​ is the 2×2 identity matrix. BC=CB

Answers

The correct statements are:

1. If the product AB = 0 (zero matrix), then either A = 0 or B = 0.

4. BC = CB.

Explanation:

1. If the product of two matrices AB equals the zero matrix, it implies that at least one of the matrices A or B (or both) must be the zero matrix for the product to result in zero.

4. The statement BC = CB states that the order of multiplication of matrices B and C does not affect the resulting matrix. This property holds true for matrices of any size as long as the dimensions are compatible for matrix multiplication.

The other statements are not necessarily true in general:

2. Both BC and CB being square matrices is not guaranteed. The product of two matrices can result in a square matrix only if the number of columns of the first matrix is equal to the number of rows of the second matrix. In this case, B has 3 columns and C has 2 rows, so BC and CB are not square matrices.

3. The matrix A + BC is not defined since the addition of matrices requires them to have the same dimensions. In this case, A is a 2×2 matrix, while BC is a 2×3 matrix, so they cannot be added together.

5. The statement A = A12​ = I2​ implies that matrix A is equal to the 2×2 identity matrix I2​. However, this is not necessarily true as the given information does not provide any details about the values or properties of matrix A.

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Complete the steps in the proof that show quadrilateral with vertices , , , and is a kite. Using the distance formula, , , = , and =. Therefore, is a kite because.

Answers

By using distance formula and using the property of quadrilateral and kite we can prove it is a kite.

What is distance formula?

The distance formula is:

d = √((x2 - x1)^2 + (y2 - y1)^2)

where (x1, y1) and (x2, y2) are the coordinates of the two points being used to find the distance between them.

What are the properties of kite?

It has two pairs of equal-length sides, which are called diagonals.

The diagonals of a kite intersect at right angles.

A kite has two opposite pairs of congruent (equal) angles.

The diagonals of a kite bisect (cut into two equal parts) each other.

The sum of the interior angles of a kite is 360 degrees.

A kite is a type of convex quadrilateral, meaning that all of its interior angles are less than 180 degrees and its sides do not intersect.

To prove that a quadrilateral with vertices A, B, C, and D is a kite, you can follow these steps:

Use the distance formula to calculate the lengths of the sides of the quadrilateral. The distance formula is:

d = √((x2 - x1)^2 + (y2 - y1)^2)

where (x1, y1) and (x2, y2) are the coordinates of the two points being used to find the distance between them.

Determine which pairs of sides are diagonals of the kite. A kite has two pairs of sides that are diagonals, which means they intersect at right angles.

Use the distance formula to calculate the lengths of the diagonals.

Check that the lengths of the diagonals are equal. In order for a quadrilateral to be a kite, the lengths of the diagonals must be equal.

If the lengths of the diagonals are equal, then the quadrilateral is a kite. If the lengths of the diagonals are not equal, then the quadrilateral is not a kite.

So, using this process, you can prove that a quadrilateral with vertices A, B, C, and D is a kite if you can show that the lengths of the diagonals are equal.

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It takes 1 minute for a high speed train to travel 2 miles. How many miles can it travel in 1 hour? Why can water dissolve most substances? Which minor partys role in the 2000 presidential election contributed to the defeat of the Democratic party candidate?the Progressive Partythe Green Partythe American Independent Partythe Libertarian Party Points P, Q, and R are collinear and the ratio of PQ to PR is 3/4. Point P is located at (3, -5) and point R is located at (-4, 5). What is the y-coordinate of point Q? why ethnicity affects the flow of communication? What is the measure of 1.3.27The length of a new rectangular playing field is 8 yards longer than quadruple the width. If the perimeter of the rectangular playing field is 506 yards, what are its dimensions?The width is how to determine what object has a bigger momentum how does the bill of rights affects you as a young person a chromosome in which the linear order of a group of genes is the reverse of the normal order has a(n) group of answer choices find the value of x .... The equation of the line passing through the points (1,2) and (2, 4) isO y=3x+1O y=3xO y=2x+4O y=2x Raven is taking a math test.The test lasts for 1 hour and 35 minutes.If they finish the test at 1:20, what time did they start the test? Fill in the blank with the correct verb.Caroline et Christianbelges.tesestsontsommes What are the 3 main causes of global warming? Most fires in the Hudson Bay Area start because of a lightning strike. Why is it that the numbers of fires in that area might increase as the climate gets WARMER? A machine that is programmed to package 1.50 pounds of cereal is being tested for its accuracy in a sample of 56 cereal boxes, the sample mean filling weight is calculated as 1.52 pounds. The population standard deviation is known to be 0.06 pounds. Find the 95% confidence interval for the mean. The Road Not TakenRobert FrostTWO roads diverged in a yellow wood,And sorry I could not travel bothAnd be one traveler, long I stoodAnd looked down one as far as I couldTo where it bent in the undergrowth;Then took the other, as just as fair,And having perhaps the better claim,Because it was grassy and wanted wear;Though as for that the passing thereHad worn them really about the same,And both that morning equally layIn leaves no step had trodden black.Oh, I kept the first for another day!Yet knowing how way leads on to way,I doubted if I should ever come back.I shall be telling this with a sighSomewhere ages and ages hence:Two roads diverged in a wood, and II took the one less traveled by,And that has made all the difference.Lesson 8: Reading Comprehension QuestionsRobert FrostDirections: Please respond to the following questions. Remember, your responses must be at least 5-7 sentences in length. Be sure to answer each part of the question to receive full credit.1. What do you think about this poem? Did you enjoy it? Why or why not?2. What is the speaker trying to decide?3. Choose one of your favorite lines from the poem to discuss. Why did you choose this particular line? What did you like about it? What feeling did it convey?4. This poem is often used at graduation ceremonies. Do you think this would be a fitting poem for a graduation ceremony? Why or why not? Provide an example that illustrates your thinking.5. Now it's your turn. Conduct a search either online or at your local library, on Robert Frost. Find another poem that you enjoy and answer the following questions.a. What did you like or dislike about the poem? Be specific. Your response should be at least 3-5 sentences in length.b. List one of the literary elements you found in this poem and describe how it is an example of figurative language, conflict, irony, foreshadowing, or tone. Please copy and paste the section of the poem you are using. ITS URGENT PLEASE HELP! THANK YOUUUU the nurse is asked to explain to the client the age-related processes that contribute to bone loss and osteoporosis. what is the nurse's best response? verify that stokes' theorem is true for the vector field f=yi zj xk and the surface s the hemisphere x2 y2 z2=1,y0 oriented in the direction of the positive y-axis.