I NEED HELP PLEASE THANKS!
An airplane is taking off headed due north with an air speed of 173 miles per hour at an angle of 18° relative to the horizontal. The wind is blowing with a velocity of 42 miles per hour at an angle of S47°E. Find a vector that represents the resultant velocity of the plane relative to the point of takeoff. Let i point east, j point north, and k point up.
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The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:

Equilateral triangle MNQ inscribed in circle C

Regular hexagon AMNBPQ inscribed in circle C

Brian is constructing figures inscribed in circle C.

Equilateral triangle MNQ inscribed in circle C:

This option is possible since the points M, N, and Q are labeled and they lie on circle C.

Equilateral triangle ANP inscribed in circle C:

This option is not possible. The points A and P are labeled, but the third vertex of the equilateral triangle is not specified.

Regular hexagon AMNBPQ inscribed in circle C:

This option is possible since the points A, M, N, B, P, and Q are labeled and they lie on circle C.

Square MNPQ inscribed in circle C:

This option is not possible based on the given information. The label points do not form a square.

Square ANBQ inscribed in circle C:

This option is not possible . The points A, N, B, and Q are labeled, but they do not form a square.

The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:

Equilateral triangle MNQ inscribed in circle C

Regular hexagon AMNBPQ inscribed in circle C

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Answer:

Step-by-step explanation:

g(f(x)

g(x + 2) = (x + 2)^2 -(x + 2) - 3

               x^2 + 4x + 4 - x - 2 - 3

               x^2 + 3x - 1

Answer:

x/5 - 7 = 8

Step-by-step explanation:

Answer:

The answer is -a¹²b¹²

Those are all the steps to solve the operation.

Answer:

4*9

Step-by-step explanation:

It's obvious.

3 Answers:

Choice A

Choice D

Choice E

=====================================================

Explanation:

The list of perfect squares is:

1, 4, 9, 16, 25, 36, 49, 64, 81, 100, ...

If we apply the square root to any of those numbers, then the number is rational.

For example, \(\sqrt{25} = 5 = \frac{5}{1}\)

A rational number is any fraction of two integers, where zero is not in the denominator.

Based on this, we can see that choice A represents a rational number because we are summing rational numbers.

More specific proof is to write \(\sqrt{4} + \sqrt{16} = 2 + 4 = 6 = \frac{6}{1}\) showing it is rational.

---------------------

Choice B is ruled out because \(\sqrt{5}\) is irrational. We cannot write it as a fraction of two integers.

Choice C is ruled out for similar reasoning as choice B. This time \(\sqrt{24}\) is irrational.

----------------------

Choice D is another answer because \(2*\sqrt{4} = 2*2 = 4 = \frac{4}{1}\) is rational.

Choice E is another answer as well because \(\sqrt{49}*\sqrt{81} = 7*9 = 63 = \frac{63}{1}\) is rational.

Choice F is ruled out because \(\sqrt{12}\) is irrational, which in turn makes \(3\sqrt{12}\) irrational as well.

Check the picture below.

Answer:

Step-by-step explanation: its 24

1,2,5

Step-by-step explanation:

Answer:

cos 0=90 degrees

Step-by-step explanation:

If sin of 90 is 1 then cos 90 is 0. Since sin and cos are like complementary angles they angles add up to 90 degrees.

\( \sin(90) = \cos(0) \)

and since sin 90 equal 1 cos of 0 equal 1.

What if we switch angles

Well they are still equal

\( \sin(0) = \cos(90) \)

But this time sin of 0 is 0 and cos 90 is 0.

If the function sin 90° is 1, then the cos90° value is zero.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given that sin 90° is 1

We need to find the cos 90°.

We know that the function sine is Opposite side/ hypotenuse

cosine is Adjacent side/ hypotenuse.

sine is reciprocal of cosec

Sine = 1/ cosec

cosine = 1/ sec

The value of cos90 is zero.

Hence, If the sin 90° is 1, then the cos90° value is zero.

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The number 100 would land in column 2

Given that we have the array of numbers

The length of each row in the array is 7

Dividing 100 by 7, we have

100/7 = 14 Remainder 2

This means that

Column = 2

In (a), we have

100/7 = 14 Remainder 2

This means that

Row = 14

Here, we have

The length of each row in the array is 6

Dividing 100 by 6, we have

100/6 = 16 Remainder 3

So, the location of 100 in rows of 6 numbers is row 16 and column 3

Let the length of each row in the array be n

Dividing 100 by n, we have

100/n = q Remainder r

This means that the location of 100 in rows of n numbers is row q and column r

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Answer:

1/4 is A and 1/20 is B

Step-by-step explanation:

Not much of an explanation needed

The ratios 4 birr to 16 cents and 5 days to 100 hrs can be expressed as \(\frac{1}{4}\) and \(\frac{1}{20}\) in their lowest terms.

Ratio is the relationship between two quantities which shows the number of times that the one quantity is contained within the other quantity.

If 'a' is related to 'b', they can be denoted in terms of ratio as a : b.

Ratios can be expressed as fractions.

(a) 4 birr to 16 cents = \(\frac{4}{16}\)

The highest common factor of both 4 and 16 is 4.

\(\frac{4}{16}\) = (4 × 1) / (4 × 4) = \(\frac{1}{4}\)

(b) 5 days to 100 hrs = \(\frac{5}{100}\)

The highest common factor of 5 and 100 is 5.

\(\frac{5}{100}\) = (5 × 1) / (5 × 20) = \(\frac{1}{20}\)

Hence the ratios can be expressed as \(\frac{1}{4}\) and \(\frac{1}{20}\) in their lowest terms.

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Answer:

46

Step-by-step explanation:

Answer:

4.18 inch^3

Step-by-step explanation:

use the sphere volume formula :

V = (4/3)*pi*r^3

the radius of this sphere is 2/2 = 1 ( diameter / 2)

plugging in the values :

V = (4/3)*3.1415*1^3 = 4.18

We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour.

Sample Mean: = (29 + 27 + 34 + 40 + 22 + 28 + 14 + 35 + 26 + 35 + 12 + 30 + 23 + 18 + 11 + 22 + 23 + 33) / 18

= 480 / 18

≈ 26.667

Sample Standard Deviation (s):

= ✓((Σ(29 - 26.667)² + (27 - 26.667)² + ... + (33 - 26.667)²) / (18 - 1))

≈ ✓(319.778 / 17)

≈ ✓(18.81)

≈ 4.336

Confidence level = 99%

Sample Size (n) = 18

Sample Mean = 26.667

Sample Standard Deviation (s) = 4.336

Degrees of Freedom (df) = n - 1 = 18 - 1 = 17

Using a t-table or statistical software, we find that the critical value for a 99% confidence level with 17 degrees of freedom is approximately 2.898.

Margin of Error (E) = 2.898 * (4.336 / ✓18))

≈ 3.748

Confidence Interval = (26.667 - 3.748, 26.667 + 3.748)

= (22.919, 30.415)

We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour. This means that if we were to repeat the study multiple times and construct confidence intervals, approximately 99% of those intervals would contain the true mean healing rate of the population.

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The measure of angle A is 63°, the measure of side b is 22.34 feet and the measure of side a is 37.57 feet.

From the given triangle ABC,

∠A+∠B+∠C=180° (Angle sum property of a triangle)

∠A+32°+85°=180°

∠A+117°=180°

∠A=180°-117°

∠A=63°

We know that, the formula for sine rule is sinA/a=sinB/b=sinC/c

Here, sin63°/a = sin32°/b = sin85°/42

sin63°/a = sin32°/b = 0.9961/42

sin32°/b = 0.9961/42 and sin63°/a = 0.9961/42

0.5299/b = 0.9961/42

0.9961b=22.2558

b=22.2558/0.9961

b=22.34 feet

sin63°/a = 0.9961/42

0.8910/a = 0.9961/42

0.9961a=37.422

a=37.422/0.9961

a=37.57 feet

Therefore, the measure of angle A is 63°, the measure of side b is 22.34 feet and the measure of side a is 37.57 feet.

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Answer:

The last choice {80, 88, 200}

Step-by-step explanation:

If you solve for p, it will be p>64 which means p should be bigger than 64. 80, 88, 200 are the only numbers that all of them could be bigger than 64.

The line m is not parallel to line n. Hence, proved.

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

Given that, line m is not parallel to line n.

Prove that, ∠1 is not congruent to ∠5 by contradiction.

A by contradiction proof starts by assuming the negative of the to prove is true, then from there logically arriving at a contradiction.

So, assume ∠1 ≅ ∠5.

Those angles are corresponding angles (definition of corresponding angles when two lines are cut by a transversal)

Therefore, line m║n (when two lines are cut by a transversal such that corresponding angles are congruent, then those lines are parallel).

This contradicts the given information that line m is not parallel to line n, so the original assumption cannot be true.

Hence, it is proved.

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Answer:

960.00

Step-by-step explanation:

Interest = principle x rate x time

interest = 6000 x .04 x 4

960.00

Answer:

I = $ 960.00

Step-by-step explanation:

I = Prt

Since we are figuring out how much money was earned in interest, we will need to convert our R (which is the interest rate) into decimals, which will be, r = R/100 = 4%/100 = 0.04 per year.

Step 1. Divide R by 100, in this case, R is 4, so it will be 0.04.

Step 2. Times 6000 (the money that was deposited) by 0.04, then times it with 4 (the years) and you will get 960.

I = 6000 × 0.04 × 4 = 960

I = $ 960.00

I hope this helps you!

The required Comparison of the inequalities are

The range of values encompassing the region's junction is (-13, 15).

When comparing two numbers, an inequality indicates whether one is less than, larger than, or not equal to the other.

We take into account the various variables of the inequality

|x – 1| + 1 > 15

Therefore

|-x-1|+1-1<15-1

|-x-1|-1 <14

13<x<15

The required region lies between the inequality -13 <x< 15.

Simplify the inequality Ix-11+1 > 15 we get,

|x-1|+1 > 15

|x+1| +1-1 >15-1

|x-1| > 14

x> 15  

x<-13

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The missing value in the proportion is C- 10

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

We are given that 2/5 = ?/25

Let x be the unknown number.

Here first we have the bottom half of type equation equal each other

5x=25 (2)

x= 25 (2) / 5

x = 5 (2)

x = 10

10 is the answer

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The table can be complete based on the function given by substituting as:

When s = 0, M(s) = -3

When s = 4, M(s) = 7

When s = 9, M(s) = 12

Given a function,

M(s) = 5√s - 3

Substitute each of the value of s to find the corresponding value of M(s).

When s = 0,

M(s) = 5√0 - 3 = 0 - 3 = -3

When s = 4,

M(s) = 5√4 - 3 = 10 - 3 = 7

When s = 9,

M(s) = 5√9 - 3 = 15 - 3 = 12

Hence the blank spaces are -3, 7 and 12.

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Answer:

The other two angles are 22° , 22°

Step-by-step explanation:

To find the other angles, we can use angle sum property of triangle.

      The given angle 136° cannot be base angles. Let the base angles be x.

x + x + 136 = 180°

   2x + 136 = 180°

Subtract 136 from both sides,

            2x = 180 - 136

            2x = 44°

Divide both sides by 2,

              x = 44 ÷ 2

                \(\sf \boxed{x = 22^\circ}\)

Answer:42

Step-by-step explanation:

Respuesta:

2/9

Explicación paso a paso:

Dado que :

tarjeta numerada = 1 - 15

Probabilidad de obtener un número no menor o igual a 5

Número de cartas no menor o igual a 5:

Tarjeta no ≤ 5 = (6,7,8,9,10,11,12,13,14,15) = 10

Probabilidad = resultado requerido / Total de resultados posibles

P (Tarjeta no ≤ 5) = 10/15 = 2/3

Número de cartas menor o igual a 5:

Tarjetas ≤ 5 = 1, 2, 3, 4, 5

P (Tarjeta ≤ 5) = 5/15 = 1/3

P (Tarjeta no ≤ 5) * P (Tarjeta ≤ 5)

2/3 * 1/3 = 2/9

Calcularemos la probabilidad del evento combinado para obtener: P = 0.22

La probabilidad de sacar una carta menor o igual a 5 es igual al cociente entre el numero de cartas con un número menor o igual a 5 y el número total de cartas en el mazo.

Tenemos 5 cartas con un número igual o menor a 5 y un total de 15 cartas, así que la probabilidad es:

p = 5/15

La probabilidad de que no le salga una carta menor o igual a 5 es calculada de la misma forma, hay 10 cartas que no son menores o iguales a 5 y un total de 15 cartas, entonces tenemos:

q = 10/15

La probabilidad conjunta es simplemente el producto de esas dos probabilidades, así obtenemos:

P = (10/15)*(5/15) = 10/45 = 0.22

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The conditions that are required to validate the use of t for the significance test would be:

D). l and ll only

A response variable, also known as a dependent variable, is a variable that is being studied or measured in an experiment or statistical analysis. It is the outcome or output of the study, and its value is influenced by one or more predictor variables, also known as independent variables.

The goal of a study is often to understand how the response variable is affected by the predictor variables.

For example, in a medical study, the response variable might be the level of a certain protein in the blood, and the predictor variable might be the dosage of a new drug being tested.

In a marketing study, the response variable might be the number of units sold of a product, and the predictor variables might be the price of the product and the advertising budget.

Therefore, The conditions that are required to validate the use of t for the significance test would be:

D). l and ll only

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The answer of the given question based on the expression is , the value of the summation when m = 3 is 137.

In mathematics, an expression is a combination of numbers, variables, and operators that represents a value or a set of values. It can be a simple combination of numbers and variables or a more complex combination involving mathematical operations like addition, subtraction, multiplication, division, exponents, and roots. Expressions can be used to represent a wide range of mathematical concepts, from simple arithmetic to complex functions and equations.

To evaluate the summation 1(1!) + 2(2!) + 3(3!) + 4(4!) + m(m!), where m = 3, we substitute m = 3 and simplify:

1(1!)+2(2!) +3(3!) +4(4!) +3(3!)

= 1(1) + 2(2) + 3(6) + 4(24) + 3(6) (since n! = n(n-1)! for all positive integers n)

= 1 + 4 + 18 + 96 + 18

= 137

Therefore, the value of the summation when m = 3 is 137.

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