Find the component form of V given its magnitude and the angle it makes with the positive x-axis. (Round your answers to four decimal places.) ||V|| = 4, theta = 3.5degree v =

Answer:

2x+5

Step-by-step explanation:

The answer is in the question.

2 and x is 2x and plus 5 is +5.

Answer:

2x+5

Step-by-step explanation:

the product 2 of x is 2x plus 5

2x+5

Answer:

12.1 units

Step-by-step explanation:

Answer:

It is not a function

Step-by-step explanation:

A function is a rule from x to y that applies to all elements of x. Every element of x should have one image only.

Here, element "1" has two images 3 and 7. Therefore it's not a function.

Answer:

1/24

Step-by-step explanation:

multiply 1/9 and 3/8. The product of the two factors is 3/ 72. Seeing the two factors on the other hand, we can cancel out 3. Hence the final answer to this problem in lowest terms becomes 1/24.

The length of u, to the nearest inch, is 1818 inches.

To solve this problem, we can use the Law of Sines, which states that the ratio of the length of a side of a triangle to the sine of its opposite angle is constant.

In this case, we'll use the following formula:

a/sin(A) = b/sin(B) = c/sin(C)

Let's label the sides and angles of the triangle:

Side a = u (length of u)

Side b = t (820 inches)

Side c = v (length of v)

Angle A = m/U (132°)

Angle B = m2V (25°)

Angle C = 180° - A - B (as the sum of angles in a triangle is 180°)

Now, we can use the Law of Sines to set up the equation:

u/sin(A) = t/sin(B)

Plugging in the given values:

u/sin(132°) = 820/sin(25°)

To find the length of u, we'll solve this equation for u.

u = (820 \(\times\) sin(132°)) / sin(25°)

Using a calculator, we can evaluate the right side of the equation to get the approximate value of u:

u ≈ (820 \(\times\) 0.9397) / 0.4226

u ≈ 1817.54 inches

Rounding to the nearest inch, we have:

u ≈ 1818 inches

For similar question on Law of Sines.

https://brainly.com/question/30401249  

#SPJ8

The composition of two isometries is an isometry.

Proof:

Let T1 and T2 be isometries. T1(A) = A' and T1(B) = B'. Therefore by isometry T1, AB = A'B'

T2(A) = A'' and T2(B) = B''. Therefore by isometry T2, AB = A''B''

T2 º T1 = T2(T1(A)) = T2(A') = A'''. T2 º T1 = T2(T1(A)) = T2(B') = B'''. Therefore under composition AB = A'''B''' and distance is preserved.

The inverse of an isometry is an isometry.

Proof:

Given T and isometry. This means T(A) = A' and T(B) = B' with AB = A'B'

The inverse of T, T⁻¹maps A' to A and B' to B, so A'B' maps to AB.

But A'B' = AB and so the inverse is an isometry

Know more about isometry at:

https://brainly.com/question/4057530

#SPJ4

Answer:

An acute triangle

Step-by-step explanation:

Answer:

Base and height

b= 5

h=6

B) area

15square in

Step-by-step explanation:

1.It is generally considered best practice for parents to discuss their intentions with their children and heirs to avoid confusion or misunderstandings.

2.As potential heirs, Brennan and Maureen had a responsibility to communicate with their parents about their estate planning and express any concerns or questions they had.

3.I have personally not had experience with a family member's will. However, I believe it is important to approach the topic of writing a will with sensitivity and empathy.

1. While it is understandable that Brennan and Maureen's parents may have wanted to keep their financial affairs private, their lack of communication may have caused confusion and disappointment for their children. Ideally, the parents should have discussed their estate planning with their children and explained the impact of the gifts on their final inheritance.

2. As potential heirs, Brennan and Maureen had a responsibility to communicate with their parents about their estate planning and express any concerns or questions they had. While it can be difficult to broach sensitive topics like death and inheritance, it is important for family members to have open and honest communication to prevent misunderstandings or disputes down the line.

3. It can be a difficult and emotional topic to discuss, but it is important to have open communication to ensure that everyone's wishes are respected and honored. It may be helpful to consult with a lawyer or financial advisor to ensure that the will is properly drafted and that everyone's needs are addressed.

To know more about financial advisor based topics here

https://brainly.com/question/29767702

#SPJ1

Answer:42

Step-by-step explanation:

we need to find the product of the number of options for each category.

Emily has:

7 shirts

2 pairs of pants

2 skirts (not mentioned if she can wear them with shirts, so we'll exclude them for now)

3 pairs of shoes

Since Emily wears one shirt, one pair of pants, and one pair of shoes each day, we can multiply the number of options for each category:

7 shirts * 2 pants * 3 shoes = 42 different outfits

Therefore, Emily can make 42 different outfits from the new clothes and shoes she bought.

Answer: 1/3

Step-by-step explanation:

If the equation of a line is given in the form y=mx+b, then the y-intercept is the value of b.

Answer:

a) .38 × 2,450 = 931 people buy the local newspaper.

b) 2,450 - 931 = 1,519 people do not buy the local newspaper.

A sequence of transformations that maps △ABC to △A′B′C′ is a rotation of 90° counterclockwise about the origin followed by a translation 2 units right.

Transformations are changes done in the shapes on a coordinate plane by rotation, reflection, or translation

https://brainly.com/question/4289712

A sequence of transformations that maps △DEF to △D′E′F′ is a rotation of 90° counterclockwise about the origin followed by a translation two units right.

The sequence of vertices ABC(DEF in this question) is clockwise, as is the sequence of A'B'C'(D'E'F in this question). Thus, an even number of reflections is involved, if any reflections are involved. The offered choices do not include suitable reflections.

The orientation of AB(DE) is toward the right. The orientation of A'B'(D'E') is up, so there must be a rotation of 90° CCW. Rotation of 90° CCW about the origin will leave the figure in a position that is 2 units left of where it is shown. The rotation must be followed by a translation 2 units to the right.

Thus, we conclude that a sequence of transformations that maps △DEF to △D′E′F′ is a rotation of 90° counterclockwise about the origin followed by a translation two units right.

Read more about Sequence of Transformations at; https://brainly.com/question/4289712

#SPJ1

The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.

In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.

The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.

To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.

Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.

As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.

For more such question on monopolist. visit :

https://brainly.com/question/28336090

#SPJ8

A score that is 1.5 points above the mean is 1, A score that is 1.5 points below the mean is -1, A score that is 1.36 points above the mean is 0.90 and  A score that is the same as the mean is 0.

A normal distribution is an arrangement of a data set in which most values cluster in the middle of the range and the rest taper off symmetrically toward either extreme.

Given that, a normal distribution of BMCC MAT51 scores has a standard deviation of 1.5.

At above 1.5

Z = (μ + 1.5 - μ)/2 = 1

At below 1.5

Z = (μ -1.5 - μ)/2 =-1

At above 1.36

Z = (μ + 1.36 - μ)/2 = 0.90

At same as the mean

Z = (μ - μ)/2 = 0

Hence, A score that is 1.5 points above the mean is 1, A score that is 1.5 points below the mean is -1, A score that is 1.36 points above the mean is 0.90 and  A score that is the same as the mean is 0.

For more references on normal distribution, click;

https://brainly.com/question/15103234

#SPJ1

Answer:

y=2x+6

Step-by-step explanation:

The soccer ball is above 15 feet between 0.25 seconds and 1 second.

To determine when the soccer ball is above 15 feet, we need to find the values of t that satisfy the inequality h(t) > 15.

Given the quadratic function h(t) = -16t² + 20t + 11, we can rewrite the inequality as follows:

-16t² + 20t + 11 > 15

Subtracting 15 from both sides:

-16t² + 20t - 4 > 0

Simplifying further:

-16t² + 20t - 4 = -4(4t² - 5t + 1) = -4(t - 1)(4t - 1) > 0

Now, we can solve for t by finding the values that make the inequality true. We have two factors: (t - 1) and (4t - 1).

Setting each factor greater than zero and solving for t:

t - 1 > 0 => t > 1

4t - 1 > 0 => 4t > 1 => t > 1/4

So, we have t > 1 and t > 1/4. To satisfy both conditions, t must be greater than the maximum of 1 and 1/4, which is 1.

Therefore, the soccer ball is above 15 feet for t > 1 second.

The correct answer is:

C. The soccer ball is above 15 feet between 0.25 seconds and 1 second.

For such more questions on Soccer Ball Above 15ft

https://brainly.com/question/28374181

#SPJ8

40 students have red hair.

We have,

Red color= 5%

Black = 25%

Brown = 40%

Blonde= 30%

Total middle school students = 800

So, the number of red haired student

= 5% of 800

= 5/100 x 800

= 5 x 8

= 40 students

Learn more about Pie chart here:

https://brainly.com/question/9979761

#SPJ1

To find the particular solution of the differential equation y''' - 4y' = t + 3cos(t) + e^(-2t), we assume a general form for the solution. After solving, we obtain y(t) = -1/2t^2 + (1/2)sin(t) - (1/8)e^(-2t) + (1/16)te^(-2t) + C1 + C2t + C3e^(-2t), where C1, C2, and C3 are arbitrary constants.

To find the particular solution of the given differential equation y''' - 4y' = t + 3cos(t) + e^(-2t), we will use the method of undetermined coefficients.

Guess the form of the particular solution.

Since the right-hand side of the equation consists of a polynomial term (t) and trigonometric terms (cos(t)), as well as an exponential term (e^(-2t)), we will guess a particular solution of the form:

y_p(t) = At^2 + Bt + Ccos(t) + De^(-2t)

Calculate the derivatives of the guessed solution.

y'_p(t) = 2At + B - Csin(t) - 2De^(-2t)

y''_p(t) = 2A - Ccos(t) + 4De^(-2t)

y'''_p(t) = Csin(t) + 8De^(-2t)

Substitute the guessed solution and its derivatives into the original differential equation.

Substituting into the equation:

(Csin(t) + 8De^(-2t)) - 4(2A - Ccos(t) + 4De^(-2t)) = t + 3cos(t) + e^(-2t)

Simplifying the equation, we get:

Csin(t) + 8De^(-2t) - 8A + 4Ccos(t) - 16De^(-2t) = t + 3cos(t) + e^(-2t)

Collect like terms and solve for the coefficients.

Matching the coefficients of the terms on both sides, we have:

Csin(t) + 8De^(-2t) = 0 (1)

-8A + 4Ccos(t) - 16De^(-2t) = 3cos(t) (2)

0t + 0 + 0 - 8A + 0 - 16De^(-2t) = t + e^(-2t) (3)

From equation (1), we have C = 0, and from equation (2), we get C = 3/4.

Equating the exponential terms in equation (3), we have -16De^(-2t) = e^(-2t), which gives D = -1/16.

Finally, from equation (3), we find -8A = t, which implies A = -t/8.

Therefore, the particular solution is:

y_p(t) = (-t/8)t^2 + Bt + (3/4)cos(t) - (1/16)e^(-2t)

where B is an arbitrary constant.

for such more question on differential equation

https://brainly.com/question/25731911

#SPJ8

Answer:

The given differential equation is a third-order, non-homogeneous, linear differential equation. To find its particular solution, we can use the method of undetermined coefficients. This method involves assuming a form for the particular solution based on the form of the non-homogeneous term, and then determining the values of the coefficients by substituting the assumed form into the differential equation.

In this case, the non-homogeneous term is `t + 3cos t + e^-2t`. Since this term contains a polynomial of degree 1, a cosine function, and an exponential function, we can assume that the particular solution will have the form `y_p = At + B + Ccos t + Dsin t + Ee^-2t`, where `A`, `B`, `C`, `D`, and `E` are constants to be determined.

To determine the values of these constants, we can substitute the assumed form for `y_p` into the given differential equation and equate coefficients. This will result in a system of linear equations that can be solved for `A`, `B`, `C`, `D`, and `E`. Once these values are determined, we can write down the particular solution as `y_p = At + B + Ccos t + Dsin t + Ee^-2t`.

The number of people who plays only footfall will be 15. The percentage of the class plays only football will be 15.79%.

The quantity of anything is stated as though it were a fraction of a hundred.

In a class of 95 students, 48 play basketball, 35 play football and 32 play neither basketball nor football.

Let x be the number of student who plays basketball as well as football.

48 – x + x + 35 – x + 32 = 95

                           115 – x = 95

                                    x = 20

The number of people who plays only footfall will be

⇒ 35 – 20

⇒ 15

Then the percentage of the class plays only football will be 15.79%.

⇒ 15/95 × 100

⇒ 15.79%

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ1

Answer:

1.) inverse proportion : 1kx = y

2) direct proportion. y = kx

None of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.

To find the slope of the red line given that it is perpendicular to the green line with a slope of 2, we can use the property that perpendicular lines have slopes that are negative reciprocals of each other.

The slope of the green line is 2. To find the slope of the red line, we take the negative reciprocal of 2. The negative reciprocal is obtained by taking the reciprocal (flipping the fraction) and changing the sign.

Reciprocal of 2: 1/2

Negative reciprocal: -1/2

Therefore, the slope of the red line is -1/2.

However, none of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.

for such more question on perpendicular

https://brainly.com/question/18991632

#SPJ8

Answer:

40

Step-by-step explanation:

Each of the five friends needs to pay £14.40 to cover the cost of the birthday person's meal.

To calculate how much each of the five friends needs to pay, we can use the concept of averages or mean.

The total cost of the meal for 6 people is £12 per person. This means that the total cost of the meal is 6 * £12 = £72.

Since the other five friends have decided to pay for the birthday person's meal, they will evenly divide the total cost of £72 among themselves.

To find the average amount each friend needs to pay, we divide the total cost by the number of friends paying, which is 5:

£72 / 5 = £14.40

Using the concept of averaging or finding the mean allows us to distribute the cost equally among the friends, ensuring fairness in sharing the expenses.

for more such questions on mean

https://brainly.com/question/1136789

#SPJ8

Answer:

-√26, 5.15, 5.2, 16/3

Step-by-step explanation:

-√26 = -5.09

16/3 = 5.33

Answer:

8 x + 3 = 75

9 x - 6 = 75

5 x + 5 = 50

Step-by-step explanation:

8 x + 3

8 (9) + 3

72 + 3

75

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

9 x - 6

9 (9) - 6

81 - 6

75

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

5 x + 5

5 (9) + 5

45 + 5

50

Answer:

I'm sorry if its incorrect

Answer:

x=6

Step-by-step explanation:

answer is in the photo

Answer:

\(54 m^2\) is the correct answer I believe

For 45PLN we buy candy, When a kilo of candies costs x PLN, for this money we can buy y kilos of sweet, we get

y = 45/x

A proportion is a statement that two ratios are equal.

a) For 45PLN we buy candy. When a kilo of candies costs x PLN, for this money we can buy y kilos of sweet, we get

y = 45/x

b) The waiter has to pour 2 liters of drink into x glasses. He should pour y liters of drink to each glass we get

y = 2/x

c) Road builders intend to build 200km of road in x days, therefore each day they should build an average of y kilometers of the road, we get

y = 200/x

d) The researcher has to make x measurements within 24 hours in y-hour intervals, we get

y = 24/x

e) It is known that 1 liter of paint is enough to paint 10m² of asphalt surface. To paint the line on the road lenght of y meters and width x meters, 8 liters of paint was allocated, we get

yx = 10 × 8,

where y is the length of the road and x is the width.

Therefore, yx/10 = 8, so yx = 80. We know that the area of the road to be painted is yx, and 1 liter of paint is enough to paint 10m².

Therefore, the total amount of paint required is yx/10. Hence, 8 = yx/10, which implies yx = 80. So, y = 80/x.

To learn more about proportion, Visit

https://brainly.com/question/1496357

#SPJ1

Answer:

There are 40 apples in the basket.

This is because 5 apples to 3 pears have a difference of 1.66666667 when dividing 5 by 3 to show the ratio difference. Then, all you do is multiply this number by the number of total pears which would look like 24 x 1.66666667 = 40.

I hope this helped you, have an amazing day! :)