Can someone help meee!!!

Can Someone Help Meee!!!

Answers

Answer 1

Answer:

Using the given information from the graph, the x-intercept of the line is -1 and the y-intercept of the line is -4.

Step-by-step explanation:

For this problem, we are asked to find the x-intercept and the y-intercept of the line. The x-intercept represents the point where the line hits the x-axis. The y-intercept represents the point where the line hits the y-axis.

So, knowing this, we have the find the points where the line hits the x-axis and the point where the line hits the y-axis.

The line hits the x-axis at (-1,0). The line hits the y-axis at (0,-4)

So, the x-intercept of the line is -1 and the y-intercept of the line is -4.


Related Questions

Y’all someone help pls 5x-3=21-x

Answers

5x-3=21-x
6x=24
X=4

You simply have to isolate the variable and then divide by 6 so that x is completely alone.
The answer is x=4

5x - 3 + x = 21
6x - 3 = 21
6x = 24
x = 4

It takes me into 30 minutes to walk from home to school when walking at 5 km per hour What is her average cycling speed If it takes her 15 minutes by bike to travel the same distance​

Answers

Answer:

10 km/h

Step-by-step explanation:

I'm not really sure about this but no ones answering your question and I wanna help.

So basically to calculate the average speed you need to divide the distance travelled by time taken

But you do not have the distance traveled. But it is mentioned that it takes u 30 minutes to walk from home to school when walking at 5 km/h so to find the distance all you have to do is... 30 x 5 = 150 km

Now that we have the time and distance all we have to do is find the average speed.

Average Speed = distance ÷ time

So 150 ÷ 15 = 10 km/h

two squares intersect at right angles, bisecting their intersecting sides, as shown. the circle's diameter is the segment between the two points of intersection. what is the area of the shaded region created by removing the circle from the squares?

Answers

The area of the shaded region created by removing the circle from the squares is 16√2.

This can be determined by using the Pythagorean theorem to calculate the length of the circle's radius, which is 4. Then, the area of the circle can be determined using the formula A = πr2, which is equal to 16π.

Finally, the area of the shaded region can be found by subtracting the area of the circle from the area of the two squares, which is 32.

Therefore, 16√2 is the area of the shaded region.

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Mathematically, this can be expressed as a^2 + b^2 = c^2, where a and b are the lengths of the two sides adjacent to the right angle, and c is the length of the hypotenuse.

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Which statement is not correct?
A. A 185° angle is an obtuse angle.
B. A 75° angle is an acute angle.
C. The terminal side of a 145º angle is in quadrant II.
D. A 225° angle is a reflex angle.

Answers

Step-by-step explanation:

A. A 185° angle is an obtuse angle

..................

Answer:

A 185° angle is an obtuse angle

Step-by-step explanation:

An obtuse angle is any angle that is greater than 90° and less than 180°

Therefore, a 185° angle is not obtuse

Which statement is not correct?A. A 185 angle is an obtuse angle.B. A 75 angle is an acute angle.C. The

write the first six terms of the sequence f(n)=n^3+2​

Answers

Answer:

\(3,10,29,66,127,218\)

Step-by-step explanation:

\(f(n) = n^3 +2\\\\f(1) = 1^3 +2 = 1+2=3\\\\f(2) =2^3 +2 = 8+2=10\\\\f(3)=3^3 +2 = 27+2 = 29\\\\f(4) = 4^3 +2 = 64 +2 = 66\\\\f(5) = 5^3 +2 = 125+2 = 127\\\\f(6) = 6^3 +2 = 216+2 = 218\)

Solve du/dt=Pu, when P is a projection: dtdu​=[21​21​​21​21​​]u with u(0)=[53​]. Part of u(0) increases exponentially while the nullspace part stays fixed

Answers

To solve the given first-order linear differential equation du/dt = Pu with initial condition u(0)=[53​], we can apply the matrix exponential method. The solution to this equation is given by u(t) = e^(Pt)u(0), where e^(Pt) is the matrix exponential.

Given the projection matrix P = [21​21​​21​21​​], we can compute e^(Pt) and then multiply it by the initial condition u(0) = [53​].

Since part of u(0) increases exponentially while the nullspace part stays fixed, this indicates that one eigenvalue of P is positive, causing exponential growth, while the other eigenvalue is zero, keeping the nullspace part constant.

To solve the equation du/dt=Pu, where P is a projection, we can use the fact that P is idempotent (P^2=P) and hence diagonalizable. Let's denote the eigenvalues of P by λ_1 and λ_2, and the corresponding eigenvectors by v_1 and v_2, respectively. Since P is a projection, we have λ_1=1 and λ_2=0, and v_1 is the direction of the part of u that increases exponentially, while v_2 is the direction of the nullspace part of u that stays fixed.

Using the eigendecomposition of P, we can write u(t)=c_1e^λ_1tv_1+c_2e^λ_2tv_2=c_1e^t v_1+c_2v_2, where c_1 and c_2 are constants determined by the initial conditions. Specifically, we have u(0)=c_1v_1+c_2v_2=[5/3 1/3]^T, which implies c_1=(5/3)v_1^T[5/3 1/3]=(5/3), and c_2=[5/3 1/3]^Tv_2=(1/3).

Therefore, the solution of the differential equation is u(t)=(5/3)e^t v_1+(1/3)v_2, which means that the part of u in the direction of v_1 increases exponentially with a rate of e^t, while the part of u in the direction of v_2 stays fixed. This is consistent with the given initial condition that part of u increases exponentially while the nullspace part stays fixed.

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find the slope of the line that passes through the points ( - 1, 2 ) and ( 2, -3 )
1. -5/3
2. 3/5
3. -3/5
4. 5/3

Answers

The slope of the line passing through the points (-1, 2) and (2, -3) is -5/3

Calculating the slope of a line

From the question, we are to determine the slope of the line that passes through the points (-1, 2) and (2, -3)

To find the slope of the line passing through the points (-1,2) and (2,-3), we can use the formula

m = (y₂ - y₁)/(x₂ - x₁)

Where m is the slope of the line

and (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

Substituting the given values into this formula, we get

m =(-3 - 2)/(2 - (-1))

m = -5/(2 + 1)

m = -5/3

Hence, the slope is -5/3

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which difficulty of range as a measure of variability is overcome by interquartile range?

Answers

The is used as a measure of to overcome the range is influenced too much by .

?

are then selected as 3 points such that

they create four groups in the data, each groups approximately possessing 25% of the data.

(inter quartile range) is defined as the between third and first quartile.

Since, range is used as a measure of to overcome the difficult of the range.

The interquartile range can be affected by , so the IQR (interquartile range) is used as a better of the range.

Hence, The interquartile range is used as a measure of variability to overcome the range is influenced too much by

Learn more about here:

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#

The interquartile range is used to overcome the difficulty of range as a measure of variability which is affected by outliers.

The range is a measure of variability which is determined by calculating the difference between the highest and lowest values in a dataset. However, this measure of variability can be affected by outliers - values that are unusually high or low. For example, if a dataset includes one value that is much higher than the rest, then the range will be much higher than it would be without the outlier. The interquartile range is used to overcome this difficulty by ignoring the outliers when calculating the range. It is calculated by dividing the data into quartiles and then subtracting the lower quartile from the upper quartile. This gives a more reliable measure of variability as it ignores the outliers and is not affected by them.

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Pls hurry and ty!!!!​

Pls hurry and ty!!!!

Answers

Answer: 64

Step-by-step explanation:

So if the length of an edge is 4, the volume is 4 x 4 x 4 = 64 Or as a formula: volume = s3 where: s is the length of any edge of the cube.

Answer:

64 feet

Step-by-step explanation:

LxHxW

4x4x4

64 feet

Let m=7 and r = 8

Evaluate the expression. (r)(m)

Answers

(8)(7) = 56
Hope this helps

Find a point-slope form for the line with slope
and passing through the point (-4,-7).

Find a point-slope form for the line with slopeand passing through the point (-4,-7).

Answers

Answer:

\(\displaystyle y + 7 = \frac{1}{5}(x + 4)\)

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)

x₁ - x coordinate y₁ - y coordinate m - slope

Step-by-step explanation:

Step 1: Define

Identify variables.

Point (-4, -7)

Slope m =  \(\displaystyle \frac{1}{5}\)

Step 2: Find Equation

Substitute in variables [Point-Slope Form]:                                                    \(\displaystyle y - -7 = \frac{1}{5}(x - -4)\)Simplify:                                                                                                             \(\displaystyle y + 7 = \frac{1}{5}(x + 4)\)

The triangular base of the prism shown has one interior angle that
measures 80° and another interior angle that measures 40°. What is the
measure of the third interior angle?

The triangular base of the prism shown has one interior angle thatmeasures 80 and another interior angle

Answers

Answer:

B) 60°

Step-by-step explanation:

All the angles gotta add up to 180°, so the given ones equal 120° so it must be 60

Answer:

The answer is B

Step-by-step explanation:

What is the sum of the angle measures of a 35-gon ?

Answers

Answer:

The interior angles would be 5940. The exterior angles would add to 360

Step-by-step explanation:

Which is equal to 6-45?

Answers

Answer:

-39

Step-by-step explanation:

Please give me brainliest.

Answer:

-39

Step-by-step explanation:

6-45

A buyer owes a seller $45 and has gone to pay $6. The remaining dollars which the buyer must give the seller is $39.

dots are spaced one unit apart, horizontally and vertically. what is the number of square units enclosed by the polygon?

Answers

The number of square units enclosed by the polygon is 18.

First, count the number of dots that are enclosed by the polygon (including those on the boundary). There are 14 such dots.Next, count the number of dots on the boundary of the polygon. There are 8 dots on the boundary.Each of the dots on the boundary corresponds to a line segment of the polygon.

So, the perimeter of the polygon is 8 units (the length of each of these line segments).Now, we can use Pick's theorem to find the area of the polygon. Pick's theorem states that A = i + b/2 - 1, where A is the area of the polygon, i is the number of dots inside the polygon, and b is the number of dots on the boundary of the polygon.

So, plugging in the values we have: A = 14 + (8/2) - 1 = 14 + 4 - 1 = 17

Therefore, the area of the polygon is 17 square units.However, we have to remember that the dots are spaced one unit apart, horizontally and vertically.

Therefore, each square that is enclosed by the polygon has an area of 1 square unit. We counted 17 such squares, so the total area enclosed by the polygon is 17 square units.

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3. Jane wants to plant grass Seed in her yard. If it costs $0.55 per Square foot to plant grass Seed, how much will Jane Spend? Show your work.​

3. Jane wants to plant grass Seed in her yard. If it costs $0.55 per Square foot to plant grass Seed,

Answers

Answer:

Step-by-step explanation:

area off reg 1

10 x 25 = 250

area of reg 2

45 x 13 = 585

total surface area

585 + 250 = 835ft^2

835ft^2 x $0.55 = $459.25

10*25=250
45-10=35
35*13=455
455+250=705
705*$0.55=$387.75

if the boundary is a non-navigable waterway, where is the boundary line situated?

Answers

If a boundary is described as a non-navigable waterway, it typically means that the boundary line is located along the edge or centerline of the waterway. In other words, the boundary line follows the course or path of the non-navigable waterway.

Non-navigable waterways are bodies of water that are not suitable for or intended for regular navigation by boats or vessels. They may include small streams, creeks, canals, ponds, or other bodies of water that are not deep or wide enough to accommodate large-scale navigation.

When determining boundaries that involve non-navigable waterways, the specific legal descriptions, survey data, or relevant documents should be consulted to ascertain the exact location and extent of the boundary line in relation to the waterway. Local laws, regulations, and jurisdictional considerations may also play a role in determining the precise positioning of the boundary line along the non-navigable waterway.

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If the boundary is a non-navigable waterway, the boundary line is usually situated at the center of the waterway.  

If the boundary is a non-navigable waterway, the boundary line is typically situated along the centerline or "thread" of the waterway. This means that the boundary line follows the middle of the watercourse, dividing the ownership between the properties on each side of the waterway.

This is also known as the "Thalweg" principle, where the boundary line is determined by the center of the main channel of the watercourse.

However, it's important to note that boundary lines for non-navigable waterways can vary depending on state and local laws.  It's best to consult with a licensed surveyor or land attorney for specific guidance on determining the boundary line for a non-navigable waterway.

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find the area of the surface given by z = f(x, y) that lies above the region r. f(x, y) = 4x 4y r: triangle with vertices (0, 0), (4, 0), (0, 4)

Answers

The area of the surface given by z = f(x, y) that lies above the region is 8√33.

What is the area of the surface?

A solid object's surface area is a measurement of the overall space that the object's surface takes up. The total surface area of a three-dimensional shape is the sum of all the surfaces on each side.

Here, we have

Given: f(x, y) = 4x + 4y, a triangle with vertices (0, 0), (4, 0), (0, 4).

we have to find the area of the surface.

f(x, y) = 4x + 4y

fₓ(x,y) = 4

\(f_{y}(x,y)\) = 4

So, the area of surface z = f(x,y) is bounded above by R is

S = ∫∫\(\sqrt{1+f_x^2+f_y^2} (dA)\)

S = ∫∫\(\sqrt{1+4^2+4^2} dA\)

S = √33∫∫dA

Now, the equation of a line is:

(y-0) = (4-0)/(0-4)×(x-4)

y = -x + 4

So, R{(x,y): 0≤x≤-x+4, 0≤x≤4}

S = √33 \(\int\limits^4_0\int\limits-^x^+^4_0 {} \, dy {} \, dx\)

S = √33\(\int\limits^4_0 {} \,\)(y)dx

S = √33[-x+4-0]₀⁴dx

S = √33(-x²/2 + 4x)₀⁴

S = √33(-4²/2 + 4(4))

S = √33(-8+16)

S = 8√33

Hence,  the area of the surface given by z = f(x, y) that lies above the region is 8√33.

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an auditorium of a school has $20$ rows of seats with $10$ seats in the first row. each successive row has one more seat than the previous row. if students taking an exam are permitted to sit in any row, but not next to another student in that row, what is the maximum number of students that can be seated for an exam?

Answers

The maximum number of students that can be seated for an exam in the auditorium is 210.


To find the maximum number of students that can be seated for an exam in the auditorium, we need to determine the number of seats in each row. We can use the formula for the sum of an arithmetic sequence, which is S = (n/2)(2a + (n-1)d), where S is the sum, n is the number of terms, a is the first term, and d is the common difference.

In this case, we know that there are 20 rows of seats and 10 seats in the first row. The common difference between each row is 1, since each successive row has one more seat than the previous row. Plugging in these values into the formula, we get S = (20/2)(2(10) + (20-1)(1)), which simplifies to S = 10(20 + 19), or S = 10(39).

Therefore, the maximum number of students that can be seated for an exam is the sum of the number of seats in each row, which is 10 + 11 + 12 + ... + 29. We can find this sum by adding the first term (10) to the last term (29) and multiplying by the number of terms (20), and then dividing by 2. This gives us (10 + 29)(20)/2 = 210.

Hence, the maximum number of students that can be seated for an exam in the auditorium is 210.

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Dos o más ángulos son_______________________ si la suma de sus medidas es 90°

Answers

Answer:

Dos ángulos son complementarios si la suma de sus medidas es igual a 90°.Y son suplementarios si la suma es 180°.

I’m not sure it use spanishdict it helps me a lot

How many terms are in this expression?
1 + 9 + 3u
Submit

Answers

Answer:

2

Step-by-step explanation:

When it comes to like terms, they have to end with the same symbol A.K.A variables, exponents, and numbers.

1 + 9 + 3u

There are two terms, constants and variables, constant being 1 and 9 while variable being 3u.

Rewrite y=a(2)^t/3 in the form y=a(1+r)^t or y=a(1-r)^t . Round the value of r to the nearest hundredth. State the growth or decay rate. Round your answer to the nearest whole number.
please answer asap

Answers

The exponential function is written as follows:

y = a(1 + 1)^(t/3).

Meaning that the growth rate is of 100% every 3 days.

How to model an exponential function?

An increasing exponential function is modeled as follows:

y = a(1 + r)^(x/n).

In which:

a is the initial value.r is the growth rate.n is the time needed for the growth rate.

From the equation given in this problem, the growth rate r every 3 days is given as follows:

1 + r = 2

r = 1. -> 100% growth rate every 3 days.

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Answer: \(y= a(1+0.26)^t\) grows 26%

Step-by-step explanation:

The original equation is  \(y= a(2)^{t/3}\)

in order to write it as \(y=a(1+r)^t\) we must first get t alone

to do this you must do the inverse which in this case is cube rooting

\(y=a(\sqrt[3]{2} )^t\)  (keep in mind it will not always be cube rooting, you will root it by whatever t is divided by example: \(y=a(5)^{t/7} = > y=a(\sqrt[7]{5} )^t\)

in the parenthesis you will get 1.26, now we can separate this out into the (1+r) format. your final product of the equation you write in your parenthesis should equal the number you just got, so we write it as

\(y=a(1+0.26)^t\)

hope this helps whoever reads it!!  :)

Michelle has $8 and wants to buy a combination of dog food to feed at least two dogs at the animal shelter. A serving of dry food costs $1, and a serving of wet food costs $3. This system of inequalities models the scenario: x + 3y ≤ 8 x + y ≥ 2 Part A: Describe the graph of the system of inequalities, including shading and the types of lines graphed. Provide a description of the solution set. (4 points) Part B: Is the point (8, 2) included in the solution area for the system? Justify your answer mathematically. (3 points) Part C: Choose a point in the solution set and interpret what it means in terms of the real-world context. (3 points)

Answers

Part A: The shaded region represents the feasible region where both inequalities are satisfied simultaneously. It is below the line x + 3y = 8 and above the line x + y = 2.

Part B: The point (8, 2) is not included in the solution area.

Part C: The point (3, 1) represents one feasible solution that meets the constraints of the problem.

Part A: The graph of the system of inequalities consists of two lines and a shaded region. The line x + 3y = 8 is a solid line because it includes the equality symbol, indicating that points on the line are included in the solution set. The line x + y = 2 is also a solid line. The shaded region represents the feasible region where both inequalities are satisfied simultaneously. It is below the line x + 3y = 8 and above the line x + y = 2.

Part B: To determine if the point (8, 2) is included in the solution area, we substitute the x and y values into the inequalities:

8 + 3(2) ≤ 8

8 + 6 ≤ 8

14 ≤ 8 (False)

Since the inequality is not satisfied, the point (8, 2) is not included in the solution area.

Part C: Let's choose a point in the solution set, such as (3, 1). This point satisfies both inequalities: x + 3y ≤ 8 and x + y ≥ 2. In the context of the real-world scenario, this means that Michelle can buy 3 servings of dry food (x = 3) and 1 serving of wet food (y = 1) with her $8 budget. This combination of dog food allows her to feed at least two dogs at the animal shelter while staying within her budget. The point (3, 1) represents one feasible solution that meets the constraints of the problem.

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Find the amount of ice melted after 4.5 hrs of sunlight?

Group of answer choices

4.5 cubic feet

5 cubic feet

5.5 cubic feet

6 cubic feet

Find the amount of ice melted after 4.5 hrs of sunlight?Group of answer choices4.5 cubic feet5 cubic

Answers

I would say 5 cubic feet based on the graph that the ice melted units are cubic feet

Hope that helped!

1.
The width of a rectangle is 19 centimeters less than double the length.
Let v be length of the rectangle. Write a variable expression for the width.

Answers

Answer:

width = 2v - 19

Step-by-step explanation:

how to find the length of a line segment using pythagorean theorem

Answers

To find the length of a line segment using Pythagorean Theorem, you need to have two of its coordinates. Let's say we have the coordinates (x1, y1) and (x2, y2) for the endpoints of the line segment.

First, we need to find the difference between the x-coordinates and the y-coordinates of the two endpoints. So, we have:

Δx = x2 - x1

Δy = y2 - y1

Next, we can use the Pythagorean Theorem to find the length of the line segment, which states that the square of the length of the hypotenuse (the line segment) is equal to the sum of the squares of the other two sides (Δx and Δy). Therefore, we have:

Length of line segment = √(Δx² + Δy²)

This formula will give us the length of the line segment in the same units as the coordinates (e.g., if the coordinates are in meters, the length will be in meters).

So, to summarize, to find the length of a line segment using Pythagorean Theorem, we need to find the difference between the x-coordinates and y-coordinates of the endpoints, and then use the formula √(Δx² + Δy²) to calculate the length of the line segment.

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The product of 3! isA 1B 2.C 3D 6

Answers

Recall that n factorial is equal to

\(n!=n\times(n-1)\times(n-2)\ldots\times1\)

Therefore, 3!

\(3!=3\times2\times1=6\)

1. Calculate the mean, median, and mode of the following set of data. Round to the nearest tenth.
7,3, 2, 1, 13, 8, 1, 5, 14, 11, 15
ANSWERS
A.
mean=6.7, median =7,mode=8
B.
mean=7.3, median =8,mode=1
C.
mean=7.3, median =7,mode=1
D.
mean=6.7,median =7,mode=1

1. Calculate the mean, median, and mode of the following set of data. Round to the nearest tenth.7,3,

Answers

Answer:

C.

Step-by-step explanation:

7,3, 2, 1, 13, 8, 1, 5, 14, 11, 15

Write them in ascending order:

1, 1, 2, 3, 5, 7, 8, 11, 13, 14, 15.

The mean = sum of the numbers / 11

= 80/77

= 7.3.

The median = the middle number

= 7.

The mode = the number which occurs most

= 1.

A wilderness retail store asked a consulting company to do an analysis of their hiking shoe customers. The consulting company gathered data from each customer that purchased hiking shoes, and recorded the shoe brand and the customer's level of happiness. A Footlong shoe A Toes Knows shoe 4 5 Displeased Pleased 5 5 What is the probability that a randomly selected customer is pleased or purchased a Footlong shoe? Simplify any fractions.

Answers

The probability is given by the follwoing formula:

Probability = favorable outcomes / total outcomes

In this case, the favorable outcome is the number of customers that are in the group of pleased or in the group of those who bought the footlong shoe, we can find the number of people by summing up the number of pleased customers that bought eit

At a certain car rental company, it costs $39.95 per day and $0.06 cents per mile to rent a car. How much would it cost to rent a car for 2 days and drive 150 miles?

Answers

Answer: $88.90

Step-by-step explanation:

$39.95 x 2 + 0.06 x 150

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Find x (use pic for answer) PLEASE HELP!!!!!!!!!!!!!!!!!!! Jennifer buys a typewriter for $590. She puts 20% down and will pay $70 a month for the next 10 months. What's the total amount of monthly payments?$700 ---- correct answer$750$850$1,000 In which of the following locations would you likely find a braided river? A. On a wide, flat coastline where rivers empty into the sea. B. Winding through tropical rain forests and their associated swamps. C. At the foot of western state's mountain range whose peaks host several glaciers. D. Flowing across the many corn and bean fields of the Midwestern states Explain how the dimensions of the general environment impact Polo Ralph Lauren.Provide several (2-3) specific examples within each of the six areas: international, technological, sociocultural, economic, natural, and legal-politica Is the answer true or false? What will be a good topic to research about for a five paragraph research paper? a survey of lobster fishermen found that they catch an average of 32 pounds of lobster per day with a standard deviation of 4 pounds. if a random sample of 36 lobster fishermen is selected, what is the possibility that their average catch is less than 31.5 pounds? assume the distribution of weights of lobster is normal care e e diferenta dintre dont que si qui? NEED HELP ASAPFunction f is represented by f(x) = 5(x + 11)A. Find f(-2) In what area of the chest would the nurse expect to auscultate these breath sounds? the supreme court first ruled that the first amendment provided some protection from government regulation of commercial speech in a case involving . what is the difference between resting heart rate and active heart rate? HELP WILL MARK YOU BRAINLIEST! What does the term suffrage mean? help me out on this please The Chief Operating Officer (COO) of the City Hotel has three people reporting to him: The Hotel Manager, The Retreat Coordinator and the Program Manager. The Hotel Manager has responsibility for the Front Desk, Housekeeping, Maintenance and Security. The Program Manager has responsibility for the Massage Therapists, the Yoga Instructors and the Dance Instructors. Draw a tree diagram representing these reporting relationships. HURRY PLEASEQ.29This passage is taken from a book that chronicles a man's exploration of Alaska.(1)It was now near dark, and I made haste to make up my flimsy little tent. The ground was desperately rocky. I made out, however, to level down a strip large enough to lie on, and by means of slim alder stems bent over it and tied together soon had a home. While thus busily engaged I was startled by a thundering roar across the lake. Running to the top of the moraine, I discovered that the tremendous noise was only the outcry of a newborn berg about fifty or sixty feet in diameter, rocking and wallowing in the waves it had raised as if enjoying its freedom after its long grinding work as part of the glacier. After this fine last lesson I managed to make a small fire out of wet twigs, got a cup of tea, stripped off my dripping clothing, wrapped myself in a blanket and lay brooding on the gains of the day and plans for the morrow, glad, rich, and almost comfortable.(2)It was raining hard when I awoke, but I made up my mind to disregard the weather, put on my dripping clothing, glad to know it was fresh and clean; ate biscuits and a piece of dried salmon without attempting to make a tea fire; filled a bag with hardtack, slung it over my shoulder, and with my indispensable ice-axe plunged once more into the dripping jungle. I found my bridge holding bravely in place against the swollen torrent, crossed it and beat my way around pools and logs and through two hours of tangle back to the moraine on the north side of the outlet,a wet, weary battle but not without enjoyment. The smell of the washed ground and vegetation made every breath a pleasure, and I found Calypso borealis1, the first I had seen on this side of the continent, one of my darlings, worth any amount of hardship; and I saw one of my Douglas squirrels on the margin of the grassy pool. The drip of the rain on the various leaves was pleasant to hear. More especially marked were the flat low-toned bumps and splashes of large drops from the trees on the broad horizontal leaves of Echinopanax horridum2, like the drumming of thundershower drops on veratrum and palm leaves, while the mosses were indescribably beautiful, so fresh, so bright, so cheerily green, and all so low and calm and silent, however heavy and wild the wind and the rain blowing and pouring above them. Surely never a particle of dust has touched leaf or crown of all these blessed mosses; and how bright were the red rims of the cladonia cups beside them, and the fruit of the dwarf cornel! And the wet berries, Nature's precious jewelry, how beautiful they were!huckleberries with pale bloom and a crystal drop on each; red and yellow salmon-berries, with clusters of smaller drops; and the glittering, berry-like raindrops adorning the interlacing arches of bent grasses and sedges around the edges of the pools, every drop a mirror with all the landscape in it. A' that and a' that and twice as muckle's a' that in this glorious Alaska day3, recalling, however different, George Herbert's "Sweet day, so cool, so calm, so bright.4"(3)In the gardens and forests of this wonderful moraine one might spend a whole joyful life.1 A rare orchid found in northern, mountainous areas.2Also called Devil's Club, Echinopanax is a large-leafed shrub that grows in moist, dense forests mostly in the Pacific Northwest of the United States.3 Reference to Scottish poet, Robert Burns's poem that rejoices over the wide variety of positive traits in his wife.4 Reference to a George Herbert poem that celebrates the glory found in nature and mourns the fact that it all must die.In paragraph one, what is the relationship of the last sentence with all of the preceding sentences in the paragraph?A. It reflects on the experiences described in the earlier sentences.B. It expresses a conditional thought, whereas the other sentences are factual.C. It introduces new ideas that are loosely related to the previous sentences.D. It expands on the danger inherent in the activity described in the previous sentences.E. It ponders the accuracy of the generalizations made in the previous sentences. "Which is your house?" ,he asked. How will we convert this into Indirect Speech. How many people participated in the first earth day celebration?.