Select the graph of y=cot x.

Select The Graph Of Y=cot X.

Answers

Answer 1

Because of the vertical asymptote and the change in concavity, we conclude that the correct option is B.

Which is the graph of cotangent of x?

Remember that cot(x) = 1/tan(x).

Then we can rewrite:

cot(x) = cos(x)/sin(x).

We know that for x = 0, we have:

cot(0) = cos(0)/sin(0) = 1/0

Then we have a vertical asymptote that tends to ± infinity.

The only graph that meets this condition is the second and the third one, and by the curvature (we need to have a change of concavity/convexity) in the tangent function.

From that, we conclude that the correct option is B.

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Related Questions

What is the volume of the following solid figure?

Answers

Answer: 450

Step-by-step explanation:

The volume is (1/2)(5)(12)(15)=450.

tess saids this shape is a rhombus. Jack says the shape is a square. Who is correct?

Answers

Tess and Jack are both correct with their claims

How to determine who is correct?

The attached image completes the question

From the complete question, we have the following highlights

The shape has equal side lengthsThe angles at the vertices of the shape are right angles

The above properties represent a square

A rhombus can also have the above properties when the vertices are at 90 degrees

Hence, Tess and Jack are both correct with their claims

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Please help me with this.

Answers

Answer:

ok umm this looks hard can u give mor info?

Step-by-step explanation:

a flower garden is in the shape of a circle. The circumfrence of the garden is 20 meters. What is the area of the garden? use 3.14 for pie and round your answer to the nearest whole number

Answers

Answer:

32m²

Step-by-step explanation:

r=

[tex] \frac{c}{2\pi } [/tex]

r=20/(2×3.14)= 3.18m

A=pi r² = 3.14x3. 18² = 32m²

The equation y + 6 = one-third (X minus 9) is written in point-slope form. What is the equation written in slope-intercept form? y = one-third x minus 3 y = one-third x + 9 y = one-third x minus 9 y = one-third x + 3

Answers

The equation written in slope-intercept form is y = (1/3)x -9

What is a linear Equation ?

A linear equation is that which can be represented in the form of y =mx +c , m is the slope and c is the intercept.

The given equation is

y+6 = 1/3(x-9)

To determine the slope and the intercept this equation needs to be solved

y+6 = (1/3)x - 3

y = (1/3)x -9

Therefore this is the slope intercept format , here

the slope = 1/3

intercept = -9

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Tricia is going too write patterns a, b, and c using the rule "add 15." the first number in each pattern is shown below. Use the drop-down menus too describe the patterns. Pattern A: 5
Pattern B: 10
Pattern C: 15
Each patter will blank
A: contain odd numbers only
B: alternate between odd and even numbers
C: Include a number with 2 in the ones place
D: Include a number with 1 in the tens place

Answers

Answer:

Number 40 appeared in Pattern B. Also, according to the rule, each pattern will increase.

Step-by-step explanation:

Let's develop each sequence. Remembe that the rule is "add 15", that's what we need to create each sequence starting from the given initial number.

Pattern A.

Pattern B.

Pattern C.

As you can observe, number 40 appeared in Pattern B. Also, according to the rule, each pattern will increase

Use the points (0, 4) and (-2, 3) to find the slope of the line and give the equation of this line.​

Answers

Answer:

Choice C:   [tex]m=\frac{1}{2}; y=\frac{1}{2} x+4[/tex]

Step-by-step explanation:

To find your slope do:

[tex]\frac{y^2-y^1}{x^2-x^1}[/tex]

[tex]\frac{3-4}{-2-0}=\frac{-1}{-2} =\frac{1}{2}[/tex]

that's how you get 1/2

4 is just the y-int.

The required equation of line passes through (0, 4) and (-2, 3),  has slope of m = 1/2 , is y = 1/2x + 4. Option C is correct.

What is the equation?

The equation is the values of two expressions that are equal.

What is the slope of the line?

The slope of the line is the tangent angle made by the line with horizontal. i.e. m =tanx where x in degrees.

The slope of the equation line passing through (0, 4) and (-2, 3)
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\m = (3 - 4) / (-2-0)\\m = -1/-2\\m = 1/2[/tex]

Strand form of the equation of the line,
[tex]y-y_1 = m(x-x_1)[/tex]
Putting values in the standard form of the equation of the line.

y - 4 = 1/2 * (x - 0)
y = 1/2 * x + 4
[tex]y = \frac{1}{2} x + 4[/tex]

Thus, the required equation of line passes through (0, 4) and (-2, 3),  has slope of m = 1/2 , is y = 1/2x + 4. Option C is correct.

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.Find the distance between the two points
(3, 5) and (4, 6) to the nearest tenth.

Answers

Root under (x2 -x1)2 + (y2 - y 1 ) 2

Part 3 - Discussion/Explanation Question
In what ways can vertical, horizontal, and oblique asymptotes be identified? Use a mathematical example to
explain the ways.

Answers

Step-by-step explanation:

Vertical asymptote can be Identites if there is a factor only in the denominator. This means that the function will be infinitely discounted at that point.

For example,

[tex] \frac{1}{x - 5} [/tex]

Set the expression in the denominator equal to 0, because you can't divide by 0.

[tex]x - 5 = 0[/tex]

[tex]x = 5[/tex]

So the vertical asymptote is x=5.

Disclaimer if you see something like this

[tex] \frac{(x - 5)(x + 3)}{(x - 5)} [/tex]

x=5 won't be a vertical asymptote, it will be a hole because it in the numerator and denominator.

Horizontal:

If we have a function like this

[tex] \frac{1}{x} [/tex]

We can determine what happens to the y values as x gets bigger, as x gets bigger, we will get smaller answers for y values. The y values will get closer to 0 but never reach it.

Remember a constant can be represent by

[tex]a \times {x}^{0} [/tex]

For example,

[tex]1 = 1 \times {x}^{0} [/tex]

[tex]2 = 2 \times {x}^{0} [/tex]

And so on,

and

[tex]x = {x}^{1} [/tex]

So our equation is basically

[tex] \frac{1 \times {x}^{0} }{ {x}^{1} } [/tex]

Look at the degrees, since the numerator has a smaller degree than the denominator, the denominator will grow larger than the numerator as x gets larger, so since the larger number is the denominator, our y values will approach 0.

So anytime, the degree of the numerator < denominator, the horizontal asymptote is x=0.

Consider the function

[tex] \frac{3 {x}^{2} }{ {x}^{2} + 1} [/tex]

As x get larger, the only thing that will matter will be the leading coefficient of the leading degree term. So as x approach infinity and negative infinity, the horizontal asymptote will the numerator of the leading coefficient/ the leading coefficient of the denominator

So in this case,

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

Finally, if the numerator has a greater degree than denominator, the value of horizontal asymptote will be larger and larger such there would be no horizontal asymptote instead of a oblique asymptote.

If a sample proportion is 0.65, which range of possible values best describes
an estimate for the population parameter?
O A. (0.5, 0.89)
• B. (0.5, 0.8)
• C. (0.65, 0.7)
• D. (0.6, 0.69)

Answers

The range of possible values that best describes an estimate for the population parameter is; (0.5, 0.8)

How to estimate proportion?

The range of possible values that best describes an estimate for the population parameter is; (0.5, 0.8).

When we are talking about population parameters, we also have to look at the way of estimating the population, we have to add two extremes and divide by 2.

Thus, the correct one is;

(0.5 + 0.8)/2 = 0.65

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Which of these need to be purchased in addition to renter's insurance? Select all that apply.

-Earthquake insurance
-fire insurance
-flood insurance
-Lightning insurance
-tornado insurance

Answers

The following needs to be purchased in addition to renter's insurance;

Earthquake insuranceflood insurancetornado insurance

What is renters insurance?

Renter’s insurance is a policy which covers the loss of people renting or subletting a property. It helps to protect against loss of properties within the insured apartment.

Here are some problems covered by renters insurance:

FireTheftVolcanic EruptionRiotsExplosion.

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PLEASE PLEASE PLEASE I HAVE 20 MINUNTES

Answers

Answer:

E. 38°

Explanation:

A rhombus has 360° interior angle.

Half of the other side has 180° angle.

Solve for x:

sum of interior angles = 180°

x + 14 + x + 14 + x + x = 180°

4x + 28° = 180°

4x = 180° - 28°

4x = 152°

x = 152°/4 = 38°

Sum of half interior angles=180°

So

x+x+14+x+x+14=1802x+2(x+14)=1802x+2x+28=1804x+28=1804x=152x=38°

Option E

Katherine wants to use a sheet of fiberboard 18 inches long to create a skateboard ramp with a 17


angle of elevation from the ground. How high will the ramp rise from the ground at its highest end? Round your answer to the nearest tenth of an inch if necessary.

Answers

The rise from the ground by the skateboard is 5.5 inches

How to determine the height above the ground?

The length of the skateboard is given as:

Length (l) = 18 inches

The angle of elevation (x) is

x = 17∘

Represent the height with h.

The value of h is calculated using the following tangent ratio:

tan(x) = h/l

Make h the subject

h = l * tan(x)

Substitute known values

h = 18 * tan(17)

Evaluate

h = 5.5

Hence, the rise from the ground by the skateboard is 5.5 inches

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Answer: 5.3

Step-by-step explanation:

S​OH-CAH-TOAsin 17=oppositehypotenuse=x18sin 17=hypotenuseopposite​=18x​sin 17=sin 17=  x1818x​sin 171=1sin 17​=  x1818x​18 sin 17=18 sin 17=  xxx=5.262690...≈5.3x=5.262690...≈5.3

There are 9 students performing in the talent show, 7 of whom will perform a dance.
If 6 students are randomly chosen to perform during the first section of the show, what is the
probability that all of them will perform a dance?

Write your answer as a decimal rounded to four decimal places.

Answers

Well shown as the question I see that it is a very simple question that even a first grader will know . If u Subtract 7 to 6 u get 1 witch means I have no idea what the answer is

the ratio of the length of an arc of the circle to the circumference of the circle is 3:7, if the diameter of the circle is 14cm calculate to three significant figures the (a) perimeter of the minor circle (b) area of the minor circle, take thither=22/7

Answers

The perimeter and area of this minor circle are equal to 32.857 units and 88.345 units² respectively.

How to calculate the perimeter of the minor circle?

First of all, we would determine the circumference of this circle by using this formula:

C = πD

C = 22/7 × 14

C = 44 units.

For the length of an arc of the circle:

Arc length/Circumference = 3/7

Arc length = 3/7 × C

Arc length = 3/7 × 44

Arc length = 18.857 units.

Now, we can calculate the perimeter:

Perimeter = 2r + arc length

Perimeter = 2(14/2) + 18.857

Perimeter = 14 + 18.857

Perimeter = 32.857 units.

The area of the minor circle.

Mathematically, the area of a minor circle is given by this formula:

Area = θr²/2

But, we would have to find the angle in radians:

18.857/32.857 = θ/360

θ = 3.6059 radians.

Substituting the given parameters into the formula, we have;

Area = (3.6059 × 7²)/2

Area = 88.345 units².

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Which statement best compares savings accounts and money market accounts?
OA. A regular savings account has fewer restrictions on withdrawals than a money market account
but at a lower interest rate.
OB. A regular savings account has fewer restrictions on withdrawals than a money market account
but at a higher interest rate.
C. A money market account has fewer restrictions on withdrawals than a regular savings account
but at a lower interest rate.
OD. A money market account allows for more withdrawals than a regular savings account but at a
higher interest rate.

Answers

Answer:

Its Option C.

Step-by-step explanation:

I took this quiz and got this correct, atleast I think...??

Which of the following polynomial functions is graphed below?
-70
60
50
20
-10
O A. f(x) = (x + 5)(x − 1)2(x+1)
B. f(x) = (x - 5)(x-1)²(x - 1)
OC. f(x) = (x+2)(x-3)²(x+4)
D. f(x)=(x-2)²(x-3)(x-4)
-10-
-20
-30-
-40
10

Answers

The option (C) f(x) = (x+2)(x-3)²(x+4) is correct because in the graph the minimum value of function is less than 40.

What is polynomial?

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

We have a graph of a polynomial.

From the graph we can clearly see there is three x-intercept where the value of a polynomial function becomes zero.

The minimum value of function is less than 40

At x = 3, f(3) = 0

At x = -2, f(-2) = 0

At x = -4, f(-4) = 0

Thu graph of a function will be:

[tex]\rm y\ =\ \left(x+2\right)\left(x-3\right)^{2}\left(x+4\right)[/tex]

Thus, the option (C) f(x) = (x+2)(x-3)²(x+4) is correct because in the graph the minimum value of function is less than 40.

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Please help! photo is attached, will give brainliest.

Answers

Answer:84

Step-by-step explanation:

Okay. Are you taking calc? Dv/dt =d/dt(L(t)^3)=d/dt[(sqrt(14)+2t)^3]= 6(Sqrt(14)+2t)^2)=44. We defined t=0 to be time at which length is sqrt(14). Does that work?

What substitution should be used to rewrite 16(x³ + 1)² − 22(x³ + 1) − 3 = 0 as a quadratic equation?
O u = (x³)
Ou= (x³ + 1)
Ou = (x³ + 1)^2
Ou= (x³ + 1)^3

Answers

The correct answer is option B which is u = ( x³ + 1).

What is a quadratic equation?

The polynomial having a degree of two or the maximum power of the variable in a polynomial will be 2 is defined as the quadratic equation and it will cut two intercepts on the graph at the x-axis.

Given expression is as follows:-

16(x³ + 1)² − 22(x³ + 1) − 3 = 0

Put u = ( x³ + 1) the equation will become:-

16u² -22u-3 = 0

Now the above equation has become a quadratic equation.

Therefore the correct answer is option B which is u = ( x³ + 1).

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The solution for which of the following is neither a interger nor a fraction 4x+7=x+2 ,5x-8=x+4, 3x+2=5x+2, none of the above​

Answers

Answer:

none of the above

Step-by-step explanation:

4x + 7 = x + 2

4x - x + 7 = x - x + 2

3x + 7 = 2

3x + 7 - 7 = 2 - 7

3x = -5

3x / 3 = -5 / 3

x = -5 / 3 = -1.667

5x - 8 = x + 4

5x - x - 8 = x - x + 4

4x - 8 + 8 = 4 + 8

4x = 12

4x / 4 = 12 / 4

x = 3

3x + 2 = 5x + 2

3x - 5x + 2 = 5x - 5x + 2

-2x + 2 = 2

-2x + 2 - 2 = 2 - 2

-2x = 0

x = 0

Integers, As a whole number that can be written without a remainder,

x = 3

x = 0

(Mixed) Fraction

x = -5 / 3 = -1.667

Over the period of a year, Julie’s net worth decreased. Which of the following could be true? a. Julie’s assets and liabilities decreased by the same amount. b. Julie’s assets and liabilities increased by the same amount. c. Julie’s assets increased by more than her liabilities. d. Julie’s assets decreased by more than her liabilities. Please select the best answer from the choices provided A B C D Mark this and return Save and Exit

Answers

Assets are the goods you possess that can generate future economic advantage. The correct option is D.

What are assets and liabilities?

Assets are the goods you possess that can generate future economic advantage. Liabilities are amounts owed to other parties. In a nutshell, assets put money in your pocket, while liabilities take money out!

Given Over the period of a year, Julie’s net worth decreased. Therefore, the statement that is true is Julie’s assets decreased by more than her liabilities.

Hence, the correct option is D.

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A set of cards contains the numbers 1 through 20. Mathieu chooses a card at random, records the number of the card, and then returns the card to the set. He conducts 200 trials of this event. Based on the theoretical probability, how many times can Mathieu expect to choose a multiple of 5?
10
20
40
50

Answers

Answer:

20

Step-by-step explanation:

Answer:

the one above me is WRONG, its 40 i swear i just did the unit test

Step-by-step explanation:

please help me to solve all the questions would appreciate it if its with full working

Answers

∠ KGH is equal to 77°. This is arrived at by using the knowledge of the total angles in Parallel Lines.

What are the total angles on a straight line?

According to the laws of lines and angles, the total number of angles that can exist on a straight line is 180°.

If ∠CED = 25° and ∠BFL = 78°, then: ∠KGH = 180-(25+78), which is equals 77°. This is because the total angles on a straight-line total 180°

What is ∠LKJ?

Recall that in angles in parallel lines:

Corresponding Angles are always congruent,  Alternate Angles are always congruent, and Interior According always sum up to 180°

Hence,

We can derive ∠LKJ because it is congruent with ∠BGJ.

To get ∠BGJ, we must get ∠LFH because both of them are interior angles and sum up to 180°.

To get ∠LFH, we must subtract ∠BFL from 180° because they are both angles on a straight line.

Hence ∠LFH = 180 - 78 = 102°

Recall that ∠LFH and ∠BGJ are interior angels. Hence

∠BGJ = 180 - 102 = 78°.

Since ∠BGJ is a corresponding ∠ with ∠LKJ, therefore

∠LKJ = 78°

What is ∠ALM?

∠ALM is ∠BFL because they are both corresponding angles and are therefore congruent.

What are the solutions to section B?

Because ∠ACB and ∠BAC are equal, therefore sides AB and BC are equal in length. We can tell that  ∠ACB and ∠BAC are equal because the total angles in the triangle are equal to 180°

     2. The name given to the triangle mentioned above is Obtuse      

          Triangle. This is because one of the angles exceeds 90°.

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Select the correct answer.
An airline operates in only 10 destinations in 2015, but plan on adding more destinations each year. In 2016, the number of destinations will be
twice the initial number of destinations. Then, in 2017, the number of destinations will be twice the number of destinations the previous year. If
this pattern continues, which of the following graphs represents the number of destinations in which the airline will operate over time?

Answers

Answer:

would need to see the graph

Step-by-step explanation:

see answer advice

-4(3x+2/6)
Solving for x

Answers

Answer:

x = [tex]-\frac{1}{9}[/tex]

Step-by-step explanation:

FOIL what is in the parentheses by multiplying terms by -4.

[tex]-4(3x+\frac{2}{6})[/tex]

-4(3x) = -12x and -4(2/6) = -4/3

now add these products: [tex]-12x-\frac{4}{3}[/tex]

That is the simplified product ^, but assuming you're supposed to set the equation to equal 0...

Set equation to 0 and add the fraction to both sides. Rewrite as [tex]-12x=\frac{4}{3}[/tex]

Divide both sides by -12 to get variable, x, alone. Multiplying 4/3 by -1/12 is the same as dividing 4/3 by -12. The negative sign from the -12 make the quotient negative.

x = [tex]-\frac{1}{9}[/tex]

Answer:

x = -1/9

Step-by-step explanation:

FOIL what is in the parentheses by multiplying terms by -4.

-4(3x) = -12x and -4(2/6) = -4/3

now add these products:

That is the simplified product ^, but assuming you're supposed to set the equation to equal 0...

Set equation to 0 and add the fraction to both sides. Rewrite as

Divide both sides by -12 to get variable, x, alone. Multiplying 4/3 by -1/12 is the same as dividing 4/3 by -12. The negative sign from the -12 make the quotient negative.

x= 1/9

factor the following expressions

got really sick and missed a bunch of school, would really appreciate the help !

Answers

Answer:

i hope this will help you

Drag each tile to the correct box.

Each tile shows an investor’s tax bracket along with the tax-free yield of a bond the investor purchased. Use the formula to determine the taxable equivalent yield of each investment, and then order the investments from least to greatest return.

taxable equivalent yield =

100 PTS

Answers

The order the investments from least to greatest return,

tax bracket is 22% and tax-free yield is 3%  <  tax bracket is 35% and tax-free yield is 3%  <  tax bracket is 24% and tax-free yield is 4%  <  tax bracket is 12% and tax-free yield is 5%  <  tax bracket is 12% and tax-free yield is 5%

What is a fraction?

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

We know the value of a fraction gets larger when the numerator becomes larger and the denominator gets smaller.

Given, Each tile shows an investor’s tax bracket along with the tax-free yield of a bond the investor purchased.

(tax-free yield)/(100 - tax bracket).

Now, tax bracket is 24% and tax-free yield is 5%.

= 5/100 - 24.

= 5/76.

= 0.0658.

Similarly,

tax bracket is 12% and tax-free yield is 5%

= 0.0641.

tax bracket is 22% and tax-free yield is 3%

= 0.0384.

tax bracket is 24% and tax-free yield is 4%

= 0.0526.

tax bracket is 35% and tax-free yield is 3%

= 0.0461.

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Which could be the entire interval over which the function, f(x), is positive? ​

Answers

Answer: Choice B.   (-2, 1)

Why?

Notice that f(x) is positive when -2 < x < 1. In other words, f(x) is positive when x = -1 and when x = 1.

This interval of -2 < x < 1 translates directly to the interval notation of (-2, 1)

Unfortunately this interval notation looks identical to ordered pair notation. Be sure not to mix the two concepts up.

The parenthesis in interval notation tell the reader "do not include the endpoints". We cannot include x = -2 nor x = 1 because these values make f(x) zero, but we want f(x) > 0.

Something like choice D is a non-answer because the value x = 2 is in the interval (1,4), but f(2) = -8 which isn't positive. We can rule choice D out because of it. Choices A and C are similar situations.

Does anyone know the correct answer

Answers

Answer:

[tex]2\sqrt{5}[/tex] is an irrational number.

[tex](\sqrt{3} )^2[/tex] is a rational number.

Step-by-step explanation:

Krista got paid $43.75 for working 3.5 hours. How much did she earn per hour?

Answers

Answer:

12.5

Step-by-step explanation:

divide 43.75 by 3.5 to get your answer

Answer: $12.5

Step-by-Step Explanation:

Total Earnings = $43.75
Time = 3.5 hrs

Therefore,
Earnings in 1 hr = Total Earnings/Time
= 43.75/3.5
= 12.5

Earnings in 1 hr = $12.5
Other Questions
Read the quotation from henry david thoreaus walden. some of my pleasantest hours were during the long rain-storms in the spring or fall, which confined me to the house for the afternoon as well as the forenoon, soothed by their ceaseless roar and pelting; when an early twilight ushered in a long evening in which many thoughts had time to take root and unfold themselves. in those driving northeast rains which tried the village houses so, when the maids stood ready with mop and pail in front entries to keep the deluge out, i sat behind my door in my little house, which was all entry, and thoroughly enjoyed its protection. which is the best example of a vivid sensory detail? "some of my pleasantest hours were during the long rain-storms in the spring or fall" "which confined me to the house for the afternoon as well as the forenoon" "when the maids stood ready with mop and pail in front entries to keep the deluge out" "i sat behind my door in my little house, which was all entry, and thoroughly enjoyed its protection" Reducible interest at 6% pa is charged on a loan of $50 000. Annual repayments of$5000 are made. Calculate how much is still owing after:2) 2 years3) 3 years1) 1 year[20pts] and Make Brainliest The Soviet Union, while not lacking political leadership, went into a period of internal change until 1956, when _________ came to power. What would be the minimum energy Emin required to excite a hydrogen atom from its lowest energy level If Depressants such as alcohol, ___________and sedatives affect the central nervous system by slowing down or depressing reflexes and coordination.you are experiencing any drug __________, don't drive. 5x- 4y +2z when x= 8,y =3 and z =3 The particle of 2 velocities 10m/s due east and 12m/S in the direction 30N/E. What is the resultant velocity and the direction? A halloween bowl contains four snicker bars, five hershey bars, three milkway bars, and one twix bar. What is the probability that a snicker bar will be pulled out the bowl? What is 136x * 149y?? A citys population has been growing linearly. In 2008, the population was 28,200. By 2012, the population was 36,800. Assuming this trend continues, which of the following is a linear function that properly models the relationship between the town's population, P, and the years that have passed since 2008, t. I need help with this question anybody know it? why did Nixon order the bombing of Hanoi ? what was the impact on the city?I will give brainlist and follow .someone please help help In jumping, stress is most likely put on which major bones? Help me out please asapa boat sails due south from a port at a steady speed of 9 km/h.the wind blows the boat due west at a speed of 3 km/h. how far is the boat from the port after 1 h?give your answer to 1 decimal place. What does it mean for an organism to be anaerobic?It is poisoned by oxygen.It is poisoned by water.It produces large amounts of oxygen.It lives in salty environments. Why does Cisneros use the word sadness instead of words likedisappointment or frustration? the range of a data set is 32.if the largest number in the set of 50 what isthe smallest number I would really appreciate some help thank you! Crossing over between non sister chromatids during meiosis is significant in heredity what are the six parts of a business letter in alphabetical order?