How to do u substitution with indefinite integrals.

To find the approximate direction angle of vector v = ⟨8, -1⟩, we can use trigonometry and the inverse tangent function (arctan). Therefore, the approximate direction angle of vector v is approximately -0.1244 radians or -7.12 degrees.

The direction angle (θ) of a vector can be calculated using the formula:

θ = arctan(y/x)

where (x, y) are the components of the vector.

For the given vector v = ⟨8, -1⟩, we have x = 8 and y = -1.

θ = arctan((-1)/8)

Using a calculator or a mathematical software, we can evaluate this expression to find the approximate direction angle:

θ ≈ -0.1244 radians or approximately -7.12 degrees.

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Answer:

$4660

Step-by-step explanation:

233 x 20 = 4660

Answer:

$4660

Step-by-step explanation:

233 multiplied by 20 is 4660

Given :

Hu is installing a new window in his bedroom wall. He wants to center it horizontally.

The window is 40 1/2= 81/2 inches long, and the wall is 105 1/4= 421/4 inches long.

To Find :

How far from each edge of the wall should Hu install the window.

Solution :

Remaining size,

\(R = \dfrac{421}{4}-\dfrac{81}{2}\\\\R = \dfrac{259}{4}\ inches\)

So, distance of the window form eah edge is \(\dfrac{R}{2}=\dfrac{259}{8}\ inches\).

Hence, this is the required solution.

Answer:

answer x= 40 cm

plz refer to the picture

Answer:

40

Step-by-step explanation:

Answer:

jhkughyuguygkuyftyfguyihyghuy.,^´ñplpokjo0ijoi

Step-by-step explanation:

Answer: Maple and Willow

Step-by-step explanation:

Hello sorry for the other guy's un usefulness but I'm taking the same test and this was the correct answer.

The  difference between addition and subtraction of polynomials is that addition involves like terms  and subtraction  involves taking one polynomial away from another.

A polynomial is characterized as an expression that is composed of variables, exponents, and constants, that are combined utilizing numerical operations such as addition, subtraction, multiplication, and division (No division operation by a variable).In addition to polynomials, the like terms are included whereas, in subtraction, the like terms are subtracted. The addition of polynomials involves combining like terms to form a single expression, while subtraction involves taking one polynomial away from another. In addition, when subtracting polynomials, the sign of each term in the second polynomial needs to be changed (from positive to negative, or from negative to positive).

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The number of the small seats is 30 while the number of the big seats is 94.

We know that from the question, Vicky is an airline attendant. Last week, she worked on flights on 3 small jets and 5 large jets, which could seat a total of 560 passengers. The week before, she was assigned to flights on 5 small jets and 2 large jets, which could seat a total of 338 passengers.

Now;

Let the number of small seats be x and the number of large seats be y

It follows that;

3x + 5y = 560 ----- (1)

5x + 2y = 338 ------(2)

If you multiply (1) by 5 and (2) by 3 we have;

15x + 25y = 2800 ------ (3)

15x + 6y = 1014 -----------(4)

        19 y = 1786

y = 1786/19

= 94

Substitute y = 94 into (1)

3x + 5(94) = 560

x = 560 -  5(94)/3

x = 30

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Answer:

\(\angle P\approx67.38\textdegree\)

Step-by-step explanation:

We want to find the measure of ∠P.

To do so, we can use one of the three trigonometric functions.

Since we know the lengths of all of the sides, it doesn't matter which one we use: we will get the same result.

Let's use the sine ratio. Recall that sine is the ratio of the opposite side to the hypotenuse. That is:

\(\displaystyle \sin(x)=\frac{\text{opposite}}{\text{hypotenuse}}\)

Substitute ∠P for x. So:

\(\displaystyle \sin(\angle P)=\frac{\text{opposite}}{\text{hypotenuse}}\)

The opposite side to ∠P is 12. The hypotenuse is 13. Hence:

\(\displaystyle \sin(\angle P)=\frac{12}{13}\)

We can take the inverse sine of both sides:

\(\displaystyle \angle P=\sin^{-1}\left(\frac{12}{13}\right)\)

Use a calculator. Make sure you're in degrees mode!

So, the measure of our angle is:

\(\angle P\approx67.38\textdegree\)

And we're done!

Answer:

m∠P= 67.38

Step-by-step explanation:

took the quiz and got it correct -k12

The system of two linear equations in two variables that we can solve by subtracting the equations and that results in a solution of (3, 1) is:-

x + y = 4

2x - 3y = 3

Let x + y be equation (1) and  2x - 3y = 3 be equation (2).

Multiplying (1) by 2, we get,

2x + 2y = 8 ...(3)

(3) - (2), we get,

(2x - 2x) + (2y - (-3y)) = 8 - 3

0 + 5y = 5

y = 5/5 = 1

y = 1

Putting y = 1 in (1), we get

x + 1 = 4

x = 4 - 1

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The value of the z score is 1.03.

According to the statement

we have given that the value of mean and standard deviation and we have to find the value of the z score.

So, For this purpose we know that the

Z-score indicates how much a given value differs from the standard deviation. The Z-score, or standard score, is the number of standard deviations a given data point lies above or below mean.

And the given values are:

mean value = 69 inches

s.d value = 2.8 inches

And the value of x is 71.9 inches.

So, The Z score is

z = x - mean / standard deviation

substitute the values in it then

z = 71.9 - 69 / 2.8

then

z = 2.9 /2.8

z  = 1.03

So, The value of the z score is 1.03.

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A. The work done is 300 ft-lbs when a 100 lb rock is lifted to a height of 3 ft.

To calculate the work done, we can use the formula: Work = force x distance x cos(Ф).In this case, the force is the force of gravity acting on the rock, which can be calculated using the formula:

force = m * g

where m is the mass of the rock and g is the acceleration due to gravity (32.17 ft/s^2).

force = 100 lb * 32.17 ft/s^2 = 3,217 ft-lbs

The distance is the height to which the rock is lifted, which is 3 ft.

The angle of the rock to the vertical is 90 degrees, so cos(90) = 0.

So,

Work = force x distance x cos(theta) = 3,217 ft-lbs * 3 ft * 0 = 300 ft-lbs

So, the work done is 300 ft-lbs.

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Answer:

See answer below

Step-by-step explanation:

Finding the measure of each angle.

The sum of the angles in a triangle = 180°

(9x - 8) + (x + 10) + (3x + 2) =  180°

13x + 4 = 180

13x = 180 - 4

13x = 176

x = 176/13

Angle 1 = 9x - 8                     Angle 2 = x + 10                  Angle 3 = 3x +2

             = 9(176/13) - 8                        = 176/13 + 10                        = 3(176/13) + 2

             ≈ 113.8°                                   ≈   23.5°                               ≈ 42.6°

The third angle of 16 degrees and 102 degrees is 62 degrees.

The third angle of 119 degrees and 23 degrees is 38 degrees.

The third angle of 28 degrees and 87 degrees is 65 degrees.

The third angle of 96 degrees and 51 degrees is 33 degrees.

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees

In order to determine the missing angle, subtract the sum of the two given angles from 180.

180 - (16 + 102) = 62

180 - (119 + 23) = 38

180 - (28 + 87) = 65

180 - (96 + 51) = 33

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Answer:

160 - 2

120 - 1 1/2

240 - 3

Step-by-step explanation:

80 km driven every hour

Answer:

False

Step-by-step explanation:

Answer:

....................,,.,.,.,.,.,.,.,..,.,.,.,.,.,.,...,.,.,.,.,.,.,.,..,.,.,.,.,.,.,.,,..,,.,.,..,.,.,.,,.

Step-by-step explanation:

,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,..............................................

Answer:

Higher floor- Elevator 2 ends on a higher floor

Elevator 1- ends on floor 11

Elevator 2- ends on floor 29

Step-by-step explanation:

Answer:

Part 1:

Angel:

\(6 {x}^{2} + 20x - 16\)

\(2(3 {x}^{2} + 10x - 8)\)

\(2(3x - 2)(x + 4)\)

Angel factored the polynomial completely:

Factor out the 2, then factor the trinomial. Barbara did not factor the polynomial completely.

Part 2:

5x^2 + kx - 8

(5x - 1)(x + 8) = 5x^2 + 39x -8

(5x + 1)(x - 8) = 5x^2 - 39x - 8

(5x - 2)(x + 4) = 5x^2 + 18x - 8

(5x + 2)(x - 4) = 5x^2 - 18x - 8

(5x - 4)(x + 2) = 5x^2 + 6x - 8

(5x + 4)(x - 2) = 5x^2 - 6x - 8

(5x - 8)(x + 1) = 5x^2 - 3x - 8

(5x + 8)(x - 1) = 5x^2 + 3x - 8

k = +3, +6, +18, +39

Angel is correct with proper factorization of given polynomial.

The given expression is 6x²+20x-16.

Angel

2(3x²+10x-8)

2(3x²+12x-2x-8)

2(3x(x+4)-2(x+4))

2((x+4)(3x-2))

2(x+4)(3x-2)

Here, Angel has complete factorization and Barbara's factorization is wrong

Therefore, Angel is correct with proper factorization of given polynomial.

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The angles can't be the same and why is point f left alone?

Answer:  t = \(\frac{y}{r} + \frac{2n}{r}\)

Step-by-step explanation:

rt - 2n =  y        Add 2n to both sides

    +2n   +2n

rt = y + 2n       Divide both sides  by r

t= \(\frac{y}{r} + \frac{2n}{r}\)  

The values of the two numbers of the system of equations is x = 6 and y = -9.

First, we are told that "three times the sum of two numbers is 15". This can be written as:

3(x + y) = 15

Next, we are given that "one of the numbers is 9 more than one-third of the other number". We can break this down into two parts:

"one of the numbers": this refers to either x or y, but we don't know which one yet. Let's assume that it refers to x.

"9 more than one-third of the other number": this means that we take one-third of the other number (y), add 9, and that gives us x. In equation form, this is:

x = (1/3)y + 9

Now we have two equations with two variables:

3(x + y) = 15

x = (1/3)y + 9

We can use these equations to solve for x and y. There are different methods for solving a system of equations, but one common method is substitution.

Using the second equation, we can solve for x in terms of y:

x = (1/3)y + 9

3x = y + 27

y = 3x - 27

Now we can substitute this expression for y into the first equation:

3(x + y) = 15

3(x + 3x - 27) = 15

Simplifying this equation gives:

12x = 72

x = 6

Finally, we can use the equation we found for y in terms of x to find the value of y:

y = 3x - 27

y = 3(6) - 27

y = -9

So the two numbers are x = 6 and y = -9.

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Answer:

The radius of the cylinder is 2.52 cm.

Step-by-step explanation:

The formula for the volume of a cylinder of radius r and height h is

V = πr²h.  We can solve this for r² by dividing both sides of the equation by πh:

r² = V / (πh)

Then the desired radius is found by taking the square root of this.

r = √{V / [πh]}

                  200 cm^2

Here, r² = ------------------- = 6.37 cm^2

                   3.14(10 cm)

and so r = √6.37 cm^2 = 2.52 cm

The radius of the cylinder is 2.52 cm.

Answer:

radius = 2.52 cm

Step-by-step explanation:

\(Volume = \pi r^2 h\\\\200 = \pi r^2 \times 10\\\\\frac{200}{10 \times \pi} = r^2 \\\\6.332 = r^2 \\\\\sqrt{6.332} = r \\\\r = 2.52 \ cm\)

Answer:

x = 72°

Step-by-step explanation:

Since the triangle has 2 congruent sides then it is isosceles and the 2 base angles are congruent , both 54° , then

x = 180° - (54 + 54)° = 180° - 108° = 72°

Look at the Pictures:

Answer:

Step-by-step explanation:

84 is twice 42

Multiply the numerator and the denominator of 42/50 by 2:

42/50 = (42×2)/(50×2) = 84/100

Answer:

84/100

Step-by-step explanation:

84 is twice 42 Multiply the numerator and the denominator of 42/50 by 2: 42/50 = (42×2)/(50×2) = 84/100

Answer:

3:1

Step-by-step explanation:

Answer:

8 feet and 9 inches

Step-by-step explanation:

I just divided 105 by 12.

Then did 12 x 8 which = 96.

Then I did 105 - 96 which = 9