A boat is heading towards a lighthouse, where Mason is watching from a vertical
distance of 122 feet above the water. Mason measures an angle of depression to the
boat at point A to be 16°. At some later time, Mason takes another measurement and
finds the angle of depression to the boat (now at point B) to be 66°. Find the distance
from point A to point B. Round your answer to the nearest foot if necessary.

Answers

Answer 1

The distance between point A and point B is 371 ft if the Mason measures an angle of depression to the boat at point A to be 16°.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have:

A boat is heading towards a lighthouse, where Mason is watching from a vertical distance of 122 feet above the water. Mason measures an angle of depression to the boat at point A to be 16°.

We can draw the above situation as a form of a right-angle triangle.

From the figure, the distance between AB is x ft

From the right angle triangle DBC:

tan66 = 122/CB

CB = 54.31 ft

From the right angle triangle DAC

tan16 = 122/AC

AC = 425.46 ft

x = AC - CB

x = 425.46 - 54.31

x = 371.15 ft ≈ 371 ft

Thus, the distance between point A and point B is 371 ft if the Mason measures an angle of depression to the boat at point A to be 16°.

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A Boat Is Heading Towards A Lighthouse, Where Mason Is Watching From A Verticaldistance Of 122 Feet Above

Related Questions

A company designs a logo using a kite figure around the letter t. The logo is 12 centimeters wide and 16 centimeters tall. What is the area of the logo?

Answers

The area of the logo using the length and the width is 162 cm²

Area of logo

Length of logo = 16 cm

Width of logo = 12 cm

Area of logo = length × width

= 16 cm × 12 cm

= 192 cm²

Therefore, the area of the logo using the length and the width is 162 cm²

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Jej pls help i need my brother help

Answers

Answer:

[tex]\mathsf {\frac{17}{10}}[/tex]

Step-by-step explanation:

[tex]\mathsf {2\frac{2}{3} + \frac{14}{5} + ? = \frac{43}{6} }[/tex]

[tex]\mathsf {\frac{8}{3} + \frac{14}{5} + ? = \frac{43}{6} }[/tex]

Take the LCM (common denominator) to be 30.

[tex]\mathsf {\frac{80}{30} + \frac{84}{30} + ? = \frac{215}{30} }[/tex]

Bring the known values to the RHS.

[tex]\mathsf {? = \frac{215}{30} - \frac{164}{30} }[/tex]

[tex]\mathsf {? = \frac{51}{30}}[/tex]

[tex]\implies \mathsf {\frac{17}{10}}[/tex]

Let that be x

2 2/3=8/3

Now

[tex]\\ \rm\rightarrowtail \dfrac{8}{3}+\dfrac{14}{5}+x=\dfrac{43}{6}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{40+42}{15}+x=\dfrac{43}{6}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{82}{15}+x=\dfrac{43}{6}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{43}{6}-\dfrac{82}{15}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{215-164}{30}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{51}{30}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{17}{10}[/tex]

[tex]\\ \rm\rightarrowtail x=1\dfrac{7}{10}[/tex]

If the 6th term of an arithmetic progres- sion is 11 and the first term is 1, find the common difference.​

Answers

Answer:

2

Step-by-step explanation:

An arithmetic progression with first term a and common difference d has the following first 6 terms:

a, a + d, a + 2d, a + 3d, a + 4d, a + 5d

We are given a = 1 and a + 5d = 11.

1 + 5d = 11

5d = 10

d = 2

Answer: The common difference is 2.

4. Solve: 8−2n−6n=−16
A. n=11
B. n=9
C. n=10
D. n=3

Answers

Answer:

D. n=3

Step-by-step explanation:

8-2n-6n= –16

Take 8 to the other side

-2n-6n= -16-8

Solve them

-8n = -24

Take -8 to the other side

[tex]n \: = \frac{ - 24}{ - 8} [/tex]

n = 3

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathbf{8 - 2n - 6n = -16}[/tex]

[tex]\huge\textbf{Solving for the answer:}[/tex]

[tex]\mathbf{8 - 2n - 6n = -16}[/tex]

[tex]\huge\textbf{Combine the like terms:}[/tex]

[tex]\mathbf{(-2n - 6n) + 8 = -16}[/tex]

[tex]\mathbf{-2n - 6n + 8 = -16}[/tex]

[tex]\mathbf{-8n + 8 = -16}[/tex]

[tex]\huge\textbf{Subtract \boxed{\bf 8} to both sides:}[/tex]

[tex]\mathbf{-8n + 8 - 8 = -16 - 8}[/tex]

[tex]\huge\textbf{Simplify it:}[/tex]

[tex]\mathbf{-8n = -16 - 8}[/tex]

[tex]\mathbf{-8n = -24}[/tex]

[tex]\huge\textbf{Divide \boxed{\bf -8} to both sides:}[/tex]

[tex]\mathbf{\dfrac{-8n}{-8} = \dfrac{-24}{-8}}[/tex]

[tex]\huge\textbf{Simplify it:}[/tex]

[tex]\mathbf{n = \dfrac{-24}{-8}}[/tex]

[tex]\mathbf{n = -24 \div -8}[/tex]

[tex]\mathbf{n = 3}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\textsf{Option D. \boxed{\frak{n = 3}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

What is the first step to solving the function below?

Answers

Answer:

option B, -(4x - 3)(x - 2)

Step-by-step explanation:

-4x^2 + 11x - 6

4x * x = 4x^2

x * -3x = -3x

-4x * -2 = -8x

-3 * -2 = -6

perpendicular to the line y =6 - 3x; passes through (-3, -1)

Answers

Answer:

[tex]y=\frac{1}{3}x[/tex]

Step-by-step explanation:

Perpendicular lines

Perpendicular lines have slopes whose product is -1.  In other words, to find a line that is perpendicular to a given line, the new line must have a that is the opposite reciprocal of the original line.

Passing through a point
Additionally, if a line contains a point, then the point must be a solution to the equation (meaning, when you plug in the "x" and "y", the equation must be true).

Finding our perpendicular line

Work on slope first

To find the slope of the original line, rewrite the original line in slope-intercept form: [tex]y=mx+b[/tex]

[tex]y=6-3x\\y=6+(-3x)\\y=(-3x)+6\\y=-3x+6\\y=-\frac{3}{1}x+6[/tex]

In this form, the slope is the number multiplied to the "x", so the original slope is -3/1.

Thus, the slope of the new perpendicular line will be the opposite reciprocal of -3/1 ... which is 1/3.

Writing what we do know about the new perpendicular line, we have [tex]y=\frac{1}{3}x+b[/tex]

Making sure it passes through the point
This new line is also supposed to contain the point (-3,-1), so (-3,-1) must be a solution to the equation, for whatever constant-value the "b" is.  To find out the "b", substitute the known quantities, and solve:

[tex]-1=\frac{1}{3} (-3)+b\\-1=-1+b\\(-1)+1=(-1+b)+1\\0=b[/tex]

Substituting this into our equation:

[tex]y=\frac{1}{3}x+(0)\\y=\frac{1}{3}x[/tex]

Conclusion

So, the equation for a line that is perpendicular to the original line [tex]y=6-3x[/tex], and that also passes through (-3,-1) is [tex]y=\frac{1}{3}x[/tex]

Pythagorean Theorem and its Converse

I need number 6

Answers

Answer:

x = 14.02 units

Step-by-step explanation:

Finding unknown value using Pythagorean theorem:

 This is an isosceles trapezium.  The two perpendiculars  divide the trapezium into two congruent triangles and a rectangle. Let the base of the triangle by 'y'. We can find the value of 'y' using Pythagorean theorem.      

In ΔABC,

                AC² = AB² + BC²

                   19² = 17 ² + y ²

                 361  = 289 + y ²

        361 - 289  = y ²

                      y ² = 72

                      y =√72

                      y = 8.49

x = 31 - 8.49 - 8.49

x = 14.02

A box has 1 red marble, 1 blue marble, and 4 green marbles of the same shape and size. dan draws a marble randomly from the box, replaces it, and then draws another marble randomly. what is the probability of drawing two green marbles in a row? explain your answer.

Answers

[tex]|\Omega|=6^2=36\\|A|=4\cdot3=12\\\\P(A)=\dfrac{12}{36}=\dfrac{1}{3}\approx33.3\%[/tex]

Answer: 1/5

Step-by-step explanation:

There are three kinds of Marbles. (M) marbles

(G) green: 4m

(R) red: 1m

(B) blue: 1m

Dan pulled a green marble out leaving

(G) green: 3m

So, the probability of picking a green marble is 1/5

sorry if I'm wrong/correct me if I'm wrong.

At the beach, Nardia collected triple the number of seashells that Pierre did. Together, they collected 52 seashells. Which equations represents p, the number of seashells that Pierre collected. O 3p+p-52 52+p-3p At the beach , Nardia collected triple the number of seashells that Pierre did . Together , they collected 52 seashells . Which equations represents p , the number of seashells that Pierre collected . O 3p + p - 52 52 + p - 3p​

Answers

Answer:

If Nardia is N and Pierre is P an equation that would represent this problem is 52-3n=p

Please Help Me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

Answer:

(-2, 11) and (2, 3)

Step-by-step explanation:

Given system of equations:

1) f(x) = x² - 2x + 3 ⇒ y = x² - 2x + 3

2) f(x) = -2x + 7 ⇒ y = -2x + 7

Solve Using the Substitution Method:

Step 1: Substitute the the first equation into the second.

⇒ x² - 2x + 3 = -2x + 7

Step 2: Solve for x.

x² - 2x + 3 = -2x + 7 [ Add 2x to both sides. ]

x² - 2x + 2x + 3 = -2x + 2x + 7

⇒ x² + 3 = 7 [ Subtract 3 from both sides. ]

x² + 3 - 3 = 7 - 3

⇒ x² = 4 [ Take the square root of both sides. ]

√x² = √4

x = ± 2

x = -2, x = 2

Step 3: Solve for y.

Substitute the found x-values into one of the given equations.

y = -2x + 7 ⇒ y = -2(-2) + 7 ⇒ y = 4 + 7 ⇒ y = 11

y = -2x + 7 ⇒ y = -2(2) + 7 ⇒ y = -4 + 7 ⇒ y = 3

The solutions to the system of equations are: (-2, 11) and (2, 3).

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Help me please, i am dum

Answers

a) 50<x<60

b) 20<x<30

idek

X^2 - 10x - 20 = 0, which number would have to be added to "complete the square"?

Answers

Answer:

45

Step-by-step explanation:

When you're completing the square you're adding (b/2)^2 which in this case is (-5)^2 or 25. This is because when you rewrite it as a square binomial you write it in the form (x+(b/2))^2 which is going to result in x^2+b+(b/2)^2. Since you need to reach 25 you need to add 45 since the last value is at -20.

Answer:

25 to both sides

Step-by-step explanation:

Group x² and x terms

(x² - 10x ) - 20

complete the square

(x² - 10x +25 ) -20 -25

(x-5)² -45

Reposting this question since no one helped last time

Answers

Answer:

450 N

Step-by-step explanation:

Since you have the VOLUME and the HEIGHT of the prism, you can calculate the AREA of the prism base :

 18 m^3 / 3 m =   6 m^2    area

Now you are given  pressure = force / area

                                      75 n/m^2 =  force / 6 m^2

        6 *75 = force = 450 N

Answer:

450 newtons

Step-by-step explanation:

To solve for the force, we first need to find the area. (Force = Pressure × Area)

[tex]Area = \frac{volume}{height} = \frac{18m^{3} }{3m} = 6m^{2}[/tex]

Now we just substitute this number into [tex]Force = Pressure * Area[/tex] and get that [tex]Force = 75newtons/m^{2} * 6m^{2} = 450 newtons[/tex]

(p.s. Units are very important! This question doesn't require any unit

conversions, but others might.)

A function that models the profit for a new pet-monitoring system shows that there is no profit made until the price reaches $95 per unit, a maximum profit at a price of $140 per unit, and no profit at a price over $185 per unit. Which graph models the function?

Answers

The profits at x = $185 is 0 and the graph is attached below:

What is graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Function is to model the profits of a new pet-monitoring system, so, if the profits are y and x then y = f(x)

The curve shows that y is negative at values of x< $95, then the profits increase when x varies between $95 and $140.

The profits reach a maximum at $140 and then the profits start to reduce as x increases again.

So, the profits at x = $185 is 0.

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Answer:

a on edge

Step-by-step explanation:

I js did it

What is the value of x?
to
x = [? ]°
36°
Enter
I will give you points

Answers

Answer:

54 degrees!

Step-by-step explanation:

its a right triangle so we know 2 out of the 3 angles

so 36 + 90 = 126

180 - 126 = 54!

hope this helps :)

Which of the following expressions are equivalent to - -13/12

A. -13/-12

B. 13/-12

C. None of the above

Answers

If is -(-13/12) then A. -13/-12

If is -13/12 then B. 13/-12

[tex]-\dfrac{-13}{12}=\dfrac{-13}{-12}=\dfrac{13}{12}\\\\\dfrac{-13}{12}=-\dfrac{13}{12}=\dfrac{13}{-12}[/tex]

Which equation represents this number sentence?

Three less than one-fifth of a number is 28.


3−15n=28

15n−3=28

(3−15)n=28

(15−3)n=28

Answers

The equation that represents this number sentence is 1/5n - 3 = 28

Translating word problems

Let the unknown number be "n". One-fifth of a number is expressed as 1/5n

Three less than one-fifth of a number is expressed as 1/5n - 3

Finally, if three less than one-fifth of a number is equal to 28, then the final expression will be 1/5n - 3 = 28

The equation that represents this number sentence is 1/5n - 3 = 28

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A researcher has a table of data with four-column variables and three-row variables. the value for the degrees of freedom in order to calculate the chi-squared statistic is __________.

Answers

The degree of freedom is 6.

What is degree of freedom?

The degrees of freedom for the chi-square are calculated using the following formula: df = (r-1)(c-1) where r is the number of rows and c is the number of columns.

Given:

rows= 3

column= 4

So, degree of freedom

= (row-1)(column-1)

=(3-1)(4-1)

=2*3

=6

Hence, the degree of freedom is 6.

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Answer:

The degree of freedom is 6.

Step-by-step explanation:

Got it right on the test.

Rashaad leans a 16-foot ladder against a wall so that it forms an angle of 66° with the
ground. What's the horizontal distance between the base of the ladder and the wall?
Round your answer to the nearest tenth of a foot if necessary.

Answers

Trigonometry: Rounded to the nearest tenth of a foot, the answer is 15.2 feet.

What is trigonometry?

Trigonometry is a branch of mathematics that studies the relationships between side lengths and angles of triangles. It is used to calculate unknown side lengths and angles of triangles when given other values, and to solve various problems in different fields such as engineering, navigation, astronomy, and physics.

The horizontal distance between the base of the ladder and the wall can be calculated using trigonometry.
The formula for finding the opposite side of a triangle (in this case, the horizontal distance) when given the angle and the adjacent side is: opposite side = adjacent side x tan (angle)
Therefore, the horizontal distance is 16 feet x tan(66°) = 15.2 feet.
Rounded to the nearest tenth of a foot, the answer is 15.2 feet.

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Y = 3x + 10
Y = 2x - 8
find the substitution
Show your work please ill give brainlyest ​

Answers

Answer:

x = -18, Y = -44

Step-by-step explanation:

Since Y = 2x - 8, we can substitute that into the first equation:

2x - 8 = 3x + 10

3x - 2x = -8 - 10

x = -18

Now we plug x = -18 back into the second equation:

Y = 2(-18) - 8

Y = -36 - 8

Y = -44

What are the zeros of f(x) = (x-7)(x - 3)(x - 2)?
07, -3, 2
07, -3, -2
07, 3, 2
07, 3, -2

Answers

Answer:

7, 3, 2

Step-by-step explanation:

Answer:

Option C,

07, 3, 2

Step-by-step explanation:

Set all zeros to 0

(x-7)=0

x= 7

(x-3)=0

x= 3

(x-2)=0

x= 2

7, 3, 2

When the outlier are removed, how does the mean change?

A.
The mean decreases by 3.

B.
The mean increased by 2.

C.
The mean increased by 3.

D.
There are no outliers.

Answers

Step-by-step explanation:

hope you can understand

The lines below are parallel. If the slope of the green line is -3, what is the
slope of the red line?
m =

Answers

Answer:

m=-3

Step-by-step explanation:

Since the lines are parallel to each other, their gradients are equal.

∴ gradient of green line = gradient of red line

∴ m = -3

Solution: slope=-3

Detailed explanation:

This little problem asks us to find the slope of the line. Let's do this!

[tex]\searrow[/tex]

This is what parallel lines look like:

<------------------------------------------------------------------------------------------------------->

<------------------------------------------------------------------------------------------------------->

The two lines above will never intercept each other.

And that's what parallel lines are - they are lines that never intercept.

They can be vertical, horizontal, or diagonal, it doesn't matter. As long as both of them have the same slope and never intercept each other.

So, since parallel lines have identical slopes, the slope of the red line = slope of the green line (the problem provides us that both lines are parallel)

Slope of the red line = -3

Voila! There's our answer!

Cheers! ^-^

__________________________

Hope I helped! Best wishes!

Reach far. Aim high. Dream big.

"reflection"

__________________________

what is the measure of ∅?

A. 2.5 π radians
B. 2.5 radians
C. 4 radians
D. 5 radians​

Answers

Answer:

C. 4 radians

Step-by-step explanation:

[tex]20=\frac{\pi (Ctrl.Angle)(5)}{180}[/tex]

Ctrl Angle = ∅

∅ = [tex]\frac{(20)(180)}{5\pi } =\frac{3600}{5\pi } =\frac{720}{\pi }[/tex]

in radians:

∅ = [tex]\frac{720}{180} =4[/tex]

Hope this helps

Find the original price of a pair of shoes if the sale price is 9$ after a 75% discount

Answers

Answer:

Original price=$12

Step-by-step explanation:

First set that up as an equation

9/a=75/100

Now cross multiply

75a=900

Then divide 75 from both sides for original price

75a/75=900/75

a=12

There's your answer

Hope this helped :)

F(x)= (x-2)(x+4)(x+5)What is the sign of f on the interval -4

Answers

By evaluating the polynomial, we will see that the sign on the interval [-4, 2] is negative.

What is the sign of f on the interval [-4, 2]?

Here we have the polynomial:

f(x) = (x - 2)*(x + 4)*(x + 5).

You can see that the roots of the polynomial are at:

x = 2

x = -4

x = -5.

Then, on the interval [-4, 2], the sign of the polynomial don't change. So to get the sign of f(x) on that interval we can just evaluate it in any value of x that belongs to the interval, for example, x = 0.

f(0) = (0 - 2)*(0 + 4)*(0 + 5) = -2*4*5 = -40

With this, we can conclude that the sign of f(x) on the given interval is negative.

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Answer:

always negative

Step-by-step explanation:

Given: ∠T ≅ ∠V; ST || UV
Prove: TU || VW

4 connected lines are shown. A line from point S goes slightly down and to the left to point T to form S T. A line from point T goes slightly down and to the right to point U to form T U. A line from point U goes slightly down and to the left to point V to form U T. A line goes slightly down and to the right to point W to form point W.

Complete the two-column proof.

♣ =

♦ =
♠ =

Answers

The respective missing proofs are; Alternate interior; Transitive property; Converse alternate interior angles theore

How to complete two column proof?

We are given that;

∠T ≅ ∠V and ST || UV

From images seen online, the first missing proof is Alternate Interior angles because they are formed when a transversal intersects two coplanar lines.

The second missing proof is Transitive property because angles are congruent to the same angle.

The last missing proof is  Converse alternate interior angles theorem

because two lines are intersected by a transversal forming congruent alternate interior angles, then the lines are parallel.

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Answer:

Given: ∠T ≅ ∠V; ST || UV

Prove: TU || VW

4 connected lines are shown. A line from point S goes slightly down and to the left to point T to form S T. A line from point T goes slightly down and to the right to point U to form T U. A line from point U goes slightly down and to the left to point V to form U T. A line goes slightly down and to the right to point W to form point W.

Complete the two-column proof.

♣ =

✔ alternate interior angles theorem

♦ =

✔ transitive property

♠ =

✔ converse alternate interior angles theorem

Step-by-step explanation:

Help please, can someone answer.

Answers

Answer:

QA) C = 31.4 cm, A = 78.5 cm^2

QB) 36 cm

Step-by-step explanation:

Question A

Circumference formula: 2πr

2π(5) = 31.4 cm

Area formula: πr^2

π(5)^2 = π(25) = 78.5 cm^2

Question B

If you extend the line of the shape to create a quadrilateral and a triangle, you can use the pythagorean theorem to figure out the last length.

9 - 6 = 3

10 - 6 = 4

The lengths of side a and b are 3 and 4, we need to find the length of the hypotenuse

a^2 + b^2 = c^2

3^2 + 4^2 = c^2

9 + 16 = c^2

25 = c^2

5 = c

Now we can combine this number with the rest of the given lengths

10 + 9 + 6 + 6 + 5 = 36 cm

Line mn is parallel to line pq, mp is perpendicular to mn, and nqis perpendicular to pq. consider each statement and determine whether it is true or false. circle the correct answer. options:

Answers

The true statements are:

Lines mn and pq have the same slopeThe product of the slopes of mn and mp is -1

How to determine the true statements?

The lines are given as:

Lines mn, pq, mp, mn, nq and pq

From the question, the lines are either parallel lines or perpendicular lines

As a general rule,

Parallel lines have equal slope

This means that:

Lines mn and pq have the same slope

Assume two perpendicular lines have slopes m and n.

The relationship between their slopes is:

m * n = -1

This means that:

The product of the slopes of perpendicular lines mn and mp is -1

Hence, the true statements are (a) and (c)

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Complete question

Line mn is parallel to line pq, mp is perpendicular to mn, and nq is perpendicular to pq. consider each statement and determine whether it is true or false. circle the correct answer.

Pptions:

Lines mn and pq have the same slopeThe slope of line pq is undefined. The product of the slopes of mn and mp is -1Lines mp and mq are parallel.

Two students were asked to graph a rational number -7.1. Amy states that The number is between -8 and -7, but Laura states that the point is between -7 and -6 how can you determine which student is correct?

Answers

Amy is correct, -7.1 is between -7 and -8.  

What is the number pattern?

A number pattern is a pattern in a series of numbers that represents the common relationship between the numbers.

Two students were asked to graph a rational number -7.1.

Amy states that The number is between -8 and -7, but Laura states that the point is between -7 and -6.

In order to be in between -6 and -7, the number would have to be a decimal with a whole number of 6.

But -7.1 has a whole number of 7 then it is in between -7 and -8.

Thus, Amy is correct, -7.1 is between -7 and -8.  

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i need help with this question (answer choices 15, 5, and 12) You own land worth $44,000 and your building has a replacement cost of $160,000. What would be the value of the property if the appraiser used depreciation of 30 percent PROJECT: EXPLORING IDENTITY1. What is your first name, and why did your family choose to give you this name? What meaning does your name have?2. What is your last name? What is the country of origin of your last name? Does your last name mean anything specific?3. What is your ethnic heritage? If you are multi-ethnic, do you follow the customs of one ethnicity more than the others?4. Who is your closest friend and why did you become friends with him or her? In other words, what qualities do you value the most about your closest friend?5. On a scale from 1 to 10, how much stress do you experience in your life?6. What motivates you in school?7. What is something you used to believe but now know to be incorrect?8. What do you do when you need to remember something?9. Who do you think worries more about body image: guys or girls? Why?10. Describe a time when you thought everyone was watching you only to realize that you weren't being singled out.11. If you were to describe yourself in one sentence, what would you say?12. What do you think you will be like as an adult?13. What advice would you give to someone who told you he/she wanted to become a middle or high school teacher? The maximum number of turning points of a 9th degree polynomial is? Can someone help with this q u e s t i o n p l e a s e The parent function f(x)=x is transformed to g(x) = f(-x) - 2. Which graph represents g(x)? the government should impose household trash limits persuasive essay Somebody help me please..Ill appreciate it alot thank you The canals built across New York made it easier to transport which good? A. fish from New EnglandB. coal from Appalacha C. wheat from the midwestD. cotton from the south Read the paragraph.(1) Dr. Martin Luther King Jr. uses repetition to give his speech rhythm and momentum. (2) "Let freedom ring is a phrase which is used many times in his speech. (3) "Let freedom ring is a phrase that leads to an exciting conclusion.Which revision combines sentence 2 and sentence 3 most effectively?Many times the phrase Let freedom ring is used in his speech because it is an exciting conclusion.Many times the phrase Let freedom ring is used to lead to an exciting conclusion.Let freedom ring is a phrase, and it is used to lead to an exciting conclusion many times.Let freedom ring is a phrase that is used many times to lead to an exciting conclusion.. Directions: Write T if the statement is true or F if False. _____ 1. The Filipinos cannot be compared to anything. _____ 2. The Filipinos bend and sway just like the bamboo when there are problems but remain standing after. _____ 3. The Filipinos are submissive but know when to act or fight. _____ 4. They never learned to fight for their freedom. _____ 5. They are dependent on other races. _____ 6. The Filipinos were once ruled by foreign conquerors. _____ 7. They are easily influenced by other people. _____ 8. They are friendly and good communicators. _____ 9. They can easily adjust to their community and environment. _____ 10. The essay gave us the idea that the Filipino identity is the product of the influences of other races. Use the algebra tiles to model the equation 2x + 4 = 3x + (1). Then complete the sentences. To model 2x + 4, you need: The volume of a can of Pepsi is 0.33liter. There are 12 cans in 1 cartonWhat is the volume of 5 cartons of Pepsi? What is the governments main job, as stated in the Declaration of Independence?A. to provide services such as trash pick-upB. to provide jobs for all peopleC. to protect the basic rights of all peopleD. to declare war on other countries when needed A sample of size 400 was drawn and sample mean was found tbe 99. Test whether this sample could have come from a normalpopulation with mean 100 and variance 64 at 5%significance. Graph the image of this figure after a dilation with a scale factor of 1/2 centered at the point (3, 0).Use the polygon tool to graph the dilated figure.(See attached image for details.) 6. How many grams are present in 13.2 moles of O? 30 POINTS FOR THE CORRECT ANSWERRuben is volunteering as a reading helper with a kindergarten class in his hometown. He really likes all 24 of the students and wants to do something nice for them. He has decided to design a book for them as a gift. Ruben plans on drawing all his own illustrations and laying out the pages, but he wants each of their names to be interwoven into the story.What are the different options Ruben could consider for printing his books? Choose a printing method and detail why it is the best choice for Ruben. Next, choose another printing method and detail why it is not the best choice for Ruben. Correct the one error.TOURS OF THECAPITAL BUILDING 22. On a day the wind is blowing toward the south at 3m/s, a runner jogs west at 4m/s. What is the velocity of the air relative to the runner?