I only get three?? Help!

Answer:

tan(θ) is undefined.

Step-by-step explanation:

Recall that tan(θ) = sin(θ) / cos(θ). We are given that sin(θ) = -1. Hence:

\(\displaystyle \tan\theta=\frac{\sin\theta}{\cos\theta}=-\frac{1}{\cos\theta}\)

Since 1 / cos(θ) = sec(θ):

\(\tan\theta=-\sec\theta\)

We can square both sides:

\(\tan^2\theta=\sec^2\theta\)

From the Pythagorean Identity:

\(\tan^2\theta+1=\sec^2\theta\)

Substitute:

\(\tan^2\theta+1=\tan^2\theta\)

So:

\(1\neq0\)

Since we acquire an untrue statement, no solutions exist.

If needed, refer to the unit circle. Recall that sin(θ) only equals -1 when θ = 3π/2 (on the interval [0, 2π)). At 3π/2, cos(θ) = 0. Since tan(θ) = sin(θ) / cos(θ), tan(θ) is undefined whenever sin(θ) = -1 (or 1).

Answer:

8

Step-by-step explanation:

8x+2=10x

-8x     -8x

2=2x

x=1

8(1)=8

Answer:

MN = 8

Step-by-step explanation:

LN = LM + MN , substitute values

10x = 2 + 8x ( subtract 8x from both sides )

2x = 2 ( divide both sides by 2 )

x = 1

Then

MN = 8x = 8 × 1 = 8

Answer:

Angle y is also 40 degrees. Angle x and y are vertical angles, thus they have the same angle measure.

Answer:

50

Step-by-step explanation:

its simple just the degrees is equal orr close to that

Answer:

7

Step-by-step explanation:

The output is 'y'. The input would be 'x'.

\(y=x+3\\\\y=4+3\\\\y=7\)

The output should be 7.

Hope this helps.

The output for the function y=x + 3 at input x = 4  will be y = 7.

The expression that established the relationship between the dependent variable and independent variable is referred to as a function. In the function as the value of the independent variable varies the value of the dependent variable also varies.

Given the function is  y=x + 3. the value of the output at input x = 4 will be calculated as:-

y = x + 3

Put x = 4 in the function.

y = 4 + 3

y = 7

Therefore, the output for the function y=x + 3 at input x = 4  will be y = 7.

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Answer:

C

Step-by-step explanation:

hope this helps with the work don't know how I keep finding your questions

Answer:

A. 93

Step-by-step explanation:

Each angle is 90 degrees.

18x = 90

x=5

x + y = 90

5 + y = 90

y = 85

30z = 90

z = 3

5 + 85 + 3 = 93

Answer: She will give 8 square meter area to school snap pea plant.

Step-by-step explanation:

Given: Area required by each planter box = \(\dfrac45\) square meter

Total number of snap pea seeds  = 10

The total area required =  (Area required by each planter box ) x (number of snap pea seeds)

\(=\dfrac45\times10\\\\=4\times2=8\)

Hence, she will give 8 square meter area to school snap pea plant.

The supplies travelled 45ft and it took 0.6min to get to the next floor.

Trigonometry is the branch of mathematics dealing with the relationship between the sides of a triangle and the angles.

Analysis:

The supplies distance travelled, distance of first floor from second floor and the ground form a right angled triangle.

so that sin 60 = 39/distance travelled by supplies

distance travelled by supplies = 39/sin 60 = 39/0.866 = 45 feet.

speed = distance / time

time = distance / speed = 45/70 = 0.6 min

In conclusion, the distance and time time taken for the supplies to get to the next floor is 45feet and 0.6 min respectively.

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6, 10, 20. Domain is the x-coordinates of all values.

Answer:

55years

Explanation:

According to the given expression

FV = P +Prt

P is the initial deposit = $1000

FV is the future value = 4(1000) = $4000

r is the rate = 5.5% = 0.055

Required

Time t

Substitute the given values into the expression as shown;

FV = P +Prt

4000 = 1000 + 1000(0.055)t

4000 - 1000 = 55t

3000 = 55t

Swap

55t = 3000

t = 3000/55

t = 54.5years

t = 55years

This means it will take the deposit of $1000 55years to quadruple

\(\huge\sf \fcolorbox{purple}{redblush}{ Question : - }\)

R = {(-2, 4), (1, 3), (0, -4), (3, 2)}?

Domain of relation is (-2, 1,0,3}

so option 1st is correct

The mathematical expression y(x,t) = Asin(kx)sin(wt) provides a way to describe the behavior of a standing wave in terms of its amplitude, frequency, and location along the string.

At time t=0,

the standing wave can be mathematically expressed as

y(x,0) = Asin(kx)sin(w*0) = Asin(kx)sin(0) = 0.

This means that the displacement of the string is zero at time t=0.

However, it is important to note that this does not mean that the string is not moving at all. Rather, it means that the string is in a state of equilibrium at time t=0, with the maximum transverse displacement being A.

As time progresses, the standing wave will oscillate between the maximum positive and negative transverse displacement values, creating a pattern of nodes (points of zero displacements) and antinodes (points of maximum displacement).

The wave number k and angular frequency w are both constants that are dependent on the physical properties of the string and the conditions under which the wave is being produced.

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The  equation of the tangent plane to the parametric surface is 3x + 2y + 6 root2z = 0.

A tangent to a curve was a line that just touched the curve at that point and was "parallel" to the curve at that point. A well-tangent plane to a surface is a plane that just touches the surface at that point and is "parallel" to the surface at that point.

The tangent plane to surface S at point P0 includes all tangents to curves in S that pass through P0. For a plane tangent to a surface to exist at a point on that surface, it is sufficient if the function defining the surface is differentiable at that point.

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8 + 2x

The given expression is:

16 - 8 + 5x - 3x

Note that:

16 - 8 = 8

5x - 3x = 2x

Therefore:

The expression 16 - 8 + 5x - 3x can be simplified to:

8 + 2x

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

Work Shown:

We'll use the pythagorean theorem

a^2 + b^2 = c^2

7^2 + 24^2 = x^2

49 + 576 = x^2

625 = x^2

x^2 = 625

x = sqrt(625)

x = 25

The hypotenuse is 25 units long.

Note: the value of c is always the hypotenuse, while the order of 'a' and b doesn't matter.

The ways are the \(C_{20} ^{90}\) which are we  there to select the applicants who will be hired with the help of combination.

According to the statement

we have to find that the number of ways are there to select the applicants who will be hired.

So, For this purpose, we know that the

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Here we use the combination.

And from the given information:

20 applicants from a pool of 90 applications will be hired.

And according to this the combination becomes:

\(C_{20} ^{90}\)

then solve it

\(C_{20} ^{90} = \frac{90!}{20! (70!)}\)

\(C_{20} ^{90} = \frac{90*89*88*87*86*85*84*83*82!}{20*19*18*17*16*15*14!}\)

Then after solve it

\(C_{20} ^{90} = \frac{89*11*87*43*14*83*82!}{19*14!}\)

Now open another factorial

\(C_{20} ^{90} = \frac{89*11*87*43*14*83*82*81*80*79*78*77*76*75*74*73*72*71}{19*14*13*12*11*10*9*8*7*6*5*4*3*2*1}\)

Now solve this then

\(C_{20} ^{90} = {89*11*87*43*83*82*79*15*74*73*71}\).

So, The ways are the \(C_{20} ^{90}\) which are we  there to select the applicants who will be hired with the help of combination.

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The connection string for SQL Server using Windows Authentication is as follows:

Server=myServerAddress;Database=myDataBase;Trusted_Connection=True;

Specify the server address in the format "Server=myServerAddress". Replace "myServerAddress" with the name or IP address of the SQL Server instance you want to connect to.

Specify the name of the database you want to connect to in the format "Database=myDataBase". Replace "myDataBase" with the name of the database.

Use Windows Authentication by setting "Trusted_Connection=True". This means that the user running the application is authenticated using their Windows credentials, rather than a SQL Server login.

Use semicolons (;) to separate the different parts of the connection string.

Using Windows Authentication is a more secure and convenient way to connect to a SQL Server database, as it eliminates the need to store and manage login credentials in the application.

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Answer:

8x + 2y

Step-by-step explanation:

12x + 3y = 8 you need to transfer the no. 8 to left since it's positive, it will be negative once you tranfer that and the result is this 8x + 3y -8 =0. Then do it again on the second given, -4x = y + 8.

Tranfer the y variable to left, y is positive then it will be a negative. No need to transfer the no. 8. Then the result would be -4x - y + 8=0

To this solve this, wrote it like this:

12x + 3y –8

-4x - y + 8

——————

8x + 2y

Answer:

A possible solution is she should by 6 bags of popcorn and 10 drinks

Step-by-step explanation:

The price of each bag of popcorn = $7.50

The price of each drink = $4.50

The amount Sarah has to spend = $90

The number of bags of popcorn and drinks Sarah must buy = 16 bags of popcorn and drinks

Let the number of bags of popcorn purchased be represented by x and the number of drinks purchased be represented by y

Therefore, we have;

x + y ≥ 16.....(1)

x × 7.5 + y × 4.5  ≤ 90

Which gives;

7.5·x + 4.5·y ≤ 90....(2)

Rewriting the inequalities as a function of y, gives;

From inequality (1), x + y ≥ 16, we have;

y = ≥ 16 - x

From inequality (2), 7.5·x + 4.5·y ≤ 90, we have;

7.5·x + 4.5·y ≤ 90

4.5·y ≤ 90 - 7.5·x

y ≤ 90/4.5 - 7.5/4.5·x

y ≤ 20 - 5/3·x

Please find attached, the plot of the inequalities

A possible solution is given as the value of x = 6, where y = 10

Therefore, she should by 6 bags of popcorn and 10 drinks.

Answer:

Probably 1

Step-by-step explanation:

I'm not sure, but I would think that if we wanted to round it to 5,000, we would want the number to be as close to 5,000 as possible.

Answer:

1 or 2

Step-by-step explanation:

5160.5 is less than 5,500 therefore it rounds down to 5,000.

5260.5 is less than 5,500 therefore it rounds down to 5,000.

Answer:

3.5

Step-by-step explanation:

Answer:

3.5

Step-by-step explanation:

y = kx is the equation of direct variation where k is the constant of proportionality

The given paragraph states that a stationery shop has been running for 10 years near campus in Jakarta.

Students like the asker often visit this store to purchase stationery, markers, rulers, and photocopiers.

The word "been" is a past participle of the verb "be." It is used to show the completion of an action in the past.

In this case, it implies that the stationery shop has been operating for the past 10 years near the campus.

The sentence can be rewritten as follows to make use of the word "been":

"The stationery shop has been providing stationery, markers, rulers, and photocopiers to students near the campus for 10 years."

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The solution set for the system of equations represented by the graph of 4\(x^2\) - 3x + 6 = 2\(x^4\) - 9\(x^3\) + 2x can be determined by finding the x-coordinates of the intersection points on the graph.

The x-coordinates of the intersection points represent the values of x for which the two equations intersect and satisfy the system. These points indicate the common solutions to both equations.

To find the x-coordinates of the intersection points, we need to identify the points on the graph where the two equations intersect.

These points correspond to the values of x at which the two equations are equal.

By solving the given equation, we can determine the x-values that satisfy the equation and represent the intersection points.

Once we have the x-coordinates of the intersection points, we can further analyze the corresponding y-values to determine other properties of the solution set, such as the y-intercepts or y-coordinates of the intersection points.

However, since the specific equation for the y-coordinate is not given in the question, we cannot determine the y-intercepts or y-coordinates of the intersection points without further information.

In summary, to find the solution set for the system of equations represented by the graph, we need to determine the x-coordinates of the intersection points on the graph. These x-coordinates represent the solutions to the system.

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Answer: 9.75

Step-by-step explanation: i just added

Answer:

less

Step-by-step explanation:

Using inferential statistics, it is found that the option that is best surveyed from the collected in the survey is given by:

D. The Number of students who prefer cookies and cream is higher than the number of those who prefer chocolate and those who prefer strawberry.

An inferential statistic is one that makes inference or predictions about a population based on a sample.

From the table, we have that cookies and cream is the most popular flavor, hence the correct option is:

D. The Number of students who prefer cookies and cream is higher than the number of those who prefer chocolate and those who prefer strawberry.

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Answer:

3\(\sqrt{5}\)

Step-by-step explanation:

Calculate the distance d using the distance formula

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = (5, 4) and (x₂, y₂ ) = (- 1, 1)

d = \(\sqrt{(-1-5)^2+(1-4)^2}\)

   = \(\sqrt{(-6)^2+(-3)^2}\)

   = \(\sqrt{36+9}\)

   = \(\sqrt{45}\)

   = 3\(\sqrt{5}\) ← exact value

   ≈ 6.71 ( to 2 dec. places )

Let's start solving the expression using the product to sum formulae.

Here's the given expression,

\[\sin \frac{x}{3} \cos \frac{2 x}{3}+\cos \frac{x}{3} \sin \frac{2 x}{3}\]

Using the product-to-sum formula,

\[\sin A \cos B=\frac{1}{2}[\sin (A+B)+\sin (A-B)]\]

Applying the above formula in the first term,

\[\begin{aligned}\sin \frac{x}{3} \cos \frac{2 x}{3} &= \frac{1}{2} \left[\sin \left(\frac{x}{3}+\frac{2 x}{3}\right)+\sin \left(\frac{x}{3}-\frac{2 x}{3}\right)\right] \\&= \frac{1}{2} \left[\sin x+\sin \left(-\frac{x}{3}\right)\right]\end{aligned}\]

Using the product-to-sum formula,

\[\cos A \sin B=\frac{1}{2}[\sin (A+B)-\sin (A-B)]\]

Applying the above formula in the second term,

\[\begin{aligned}\cos \frac{x}{3} \sin \frac{2 x}{3}&= \frac{1}{2} \left[\sin \left(\frac{2 x}{3}+\frac{x}{3}\right)-\sin \left(\frac{2 x}{3}-\frac{x}{3}\right)\right] \\ &= \frac{1}{2} \left[\sin x-\sin \left(\frac{x}{3}\right)\right]\end{aligned}\]

Substituting these expressions back into the original expression,

we have\[\begin{aligned}\sin \frac{x}{3} \cos \frac{2 x}{3}+\cos \frac{x}{3} \sin \frac{2 x}{3} &= \frac{1}{2} \left[\sin x+\sin \left(-\frac{x}{3}\right)\right]+\frac{1}{2} \left[\sin x-\sin \left(\frac{x}{3}\right)\right] \\ &=\frac{1}{2} \sin x + \frac{1}{2} \sin x - \frac{1}{2} \sin \left(\frac{x}{3}\right)\\ &= \sin x - \frac{1}{2} \sin \left(\frac{x}{3}\right)\end{aligned}\]

Therefore, the given expression can be written in terms of a single trigonometric function as:

\boxed{\sin x - \frac{1}{2} \sin \left(\frac{x}{3}\right)}

Hence, the required expression is \sin x - \frac{1}{2} \sin \left(\frac{x}{3}\right). The solution is complete.

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Answer:

118 yards

Step-by-step explanation:

Tamia is getting balloons for her father's birthday party

She wants each balloon to be 6 feet long

Tamia wants to get 59 balloons

Therefore the yards of string needed can be calculated as follows

= 59×6

= 354 feet to yards

= 118 yards

Hence the number of yards needed is 118 yards

The central angle (in radians ) is 0.8 radians.
What is a cricle ?

A circle is a basic 2D shape measured by its radius. A circle divides the plane into two areas: interior and exterior. Similar to line type. Imagine a line segment bending until the ends connect. Arrange the loops so that they form a perfect circle.

we know that,

arc length = radius *  central angle (in radians)

and central angle (in radians) = arc length / radius

by substituting the given values

arc length = 7.2

radius=9

we get,

central angle (in radians) = 7.2 / 9

=0.8 radians

Hence , the central angle = 0.8 radians

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First you will get 4dz