I need help with the area one please asap

Answer:

b, only b

y = -3 has zero slope.

Step-by-step explanation:

Only a horizontal line has zero slope. A horizontal line's equation is given in the form: "y equals a number" So y=-3 is horizontal with zero slope.

Vertical lines have undefined slope. This is not the same as zero. Vertical lines have an equation in the form x= anumber. Above in the answer choices, choice a and d are both vertical with undefined slope and are not the correct answer. Choice c has slope 5, because that is the number beside the x in the form y=mx+b where m is the slope. So choice c is also not the answer.

Only choice b has zero slope.

Answer:

6p/7

Step-by-step explanation:

Answer:

B. 6p/7

Step-by-step explanation:

Answer:

Roughly 5%

Step-by-step explanation:

.05*34.75=1.74

34.75-1.74=33.01

Answer:

4

Step-by-step explanation:

The question is not clear. You have indicated the original function as 12sin(0) - 9sin²(0)

If so, the solution is trivial. At 0, sin(0) is 0 so the solution is 0

However, I will assume you meant the angle to be \(\theta\) rather than 0 which makes sense and proceed accordingly

We can find the maximum or minimum of any function by finding the first derivate and setting it equal to 0

The original function is

\(f(\theta) = 12sin(\theta) - 9 sin^2(\theta)\)

Taking the first derivative of this with respect to \(\theta\) and setting it equal to 0 lets us solve for the maximum (or minimum) value

The first derivative of \(f(\theta)\) w.r.t \(\theta\) is

                        \(12\cos\left(\theta\right)-18\cos\left(\theta\right)\sin\left(\theta\right)\)

And setting this = 0 gives

\(12\cos\left(\theta\right)-18\cos\left(\theta\right)\sin\left(\theta\right) = 0\)

Eliminating \(cos(\theta)\) on both sides and solving for \(sin(\theta)\) gives us

\(sin(\theta) = \frac{12}{18} = \frac{2}{3}\)

Plugging this value of \(sin(\theta)\) into the original equation gives us

\(12(\frac{2}{3}) - 9(\frac{4}{9} ) = 8 - 4 = 4\)

This is the maximum value that the function can acquire. The attached graph shows this as correct

Thus, for any vector x = (x1, x2, x3) in R3, we have: L(x) = Ax where A is the matrix given above.

A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns. Matrices are used extensively in mathematics, science, engineering, and computer science to represent and manipulate linear equations, systems of equations, vectors, and other mathematical objects. Matrices can be added, subtracted, multiplied, inverted, and transformed in various ways to solve problems in algebra, calculus, statistics, and other fields. Matrices are also used in computer graphics, machine learning, and other areas of artificial intelligence to represent data, images, and other information. The size of a matrix is given by its number of rows and columns, and matrices can be classified as square (when they have the same number of rows and columns) or rectangular (when they have different numbers of rows and columns).

Here,

To find the matrix A that corresponds to the linear transformation L, we need to write L(e1), L(e2), and L(e3) as linear combinations of the standard basis vectors in R2.

L(e1) = (1+0, 0+0) = (1, 0)

L(e2) = (0+1, 1+0) = (1, 1)

L(e3) = (0+0, 1+0) = (0, 1)

So we can write:

L(x) = L(x1 e1 + x2 e2 + x3 e3)

= x1 L(e1) + x2 L(e2) + x3 L(e3)

Now we can assemble the coefficients of this linear combination into a matrix A:

A=  \(\left[\begin{array}{ccc}1&1&0\\0&1&1\end{array}\right]\)

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Answer:

this will probably help

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

Where do you start?

-2

You start at -2 because the questions ask that you add -3 to -2, therefore you should start with -2

____________________________________________________________

How many spaces and which do you move

You move 3 spaces because it says add -3 to -2

also you move the negative way by you have negative sign and plus, so to be clear -2 has a negative sign and you are adding. So remember if negative and positive is together, it makes it a negative number.

____________________________________________________________

So now you just solve the question

-2 + -3 = -5

____________________________________________________________

Hope this helps

:)

Answer: The answer is 570.

Step-by-step explanation:

So, if you know what numbers are, when you round, this question is easy. If you take a number line and put 570 on the left side and 580 on the right side, and 575 in the middle, you almost got it. Since the number we want to round is 573, we put it in the middle of 570 and 575. And since the number is closer to 570 than 580, the answer is 570. Your welcome!

Answer:

Let the number be x

Since sum of a number and its reciprocal is 65/8 so we have

x+1/x=65/8

8x^2+8=65x

8x^2-65x+8=0

8x^2-64x-x+8=0

8x(x-8)-1(x-8)=0

(8x-1)(x-8)=0

x=8,1/8

So the numbers are 8 or 1/8

The Solution.

we shall expand each of the given expressions:

a.

b.

c.

Answer:

no

Step-by-step explanation:

your beatiful just the way you are

dont change anything about yourself

The general solution of the partial differential equation is:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

The partial differential equation (PDE) is given as:

Uxx = (1/2)Ut with the boundary and initial conditions as 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)

Assume that the solution can be written as a product of two functions:

U(x, t) = X(x)T(t)

Substituting this into the PDE, we have:

X''(x)T(t) = (1/2)X(x)T'(t)

Dividing both sides by X(x)T(t), we get:

(X''(x))/X(x) = (1/2)(T'(t))/T(t)

Since the left side only depends on x and the right side only depends on t, both sides must be equal to a constant, denoted as -λ²:

(X''(x))/X(x) = -λ²

(1/2)(T'(t))/T(t) = -λ²

Simplifying the second equation, we have:

T'(t)/T(t) = -2λ²

Solving the second equation, we find:

T(t) = Ce^(-2λ²t)

Applying the boundary condition U(0, t) = 0, we have:

U(0, t) = X(0)T(t) = 0

Since T(t) ≠ 0, we must have X(0) = 0.

Applying the boundary condition U(3, t) = 0, we have:

U(3, t) = X(3)T(t) = 0

Again, since T(t) ≠ 0, we must have X(3) = 0.

Therefore, we can conclude that X(x) must satisfy the following boundary value problem:

X''(x)/X(x) = -λ²

X(0) = 0

X(3) = 0

The general solution to this ordinary differential equation is given by:

X(x) = Asin(λx) + Bcos(λx)

Applying the initial condition U(x, 0) = 5*sin(4πx), we have:

U(x, 0) = X(x)T(0) = X(x)C

Comparing this with the given initial condition, we can conclude that T(0) = C = 5.

Therefore, the complete solution for U(x, t) is given by:

U(x, t) = Σ [Aₙsin(λₙx) + Bₙcos(λₙx)]*e^(-2(λₙ)²t)

where:

Σ represents the summation over all values of n

λₙ are the eigenvalues obtained from solving the boundary value problem for X(x).

To find the eigenvalues λₙ, we substitute the boundary conditions into the general solution for X(x):

X(0) = 0: Aₙsin(0) + Bₙcos(0) = 0

X(3) = 0: Aₙsin(3λₙ) + Bₙcos(3λₙ) = 0

From the first equation, we have Bₙ = 0.

From the second equation, we have Aₙ*sin(3λₙ) = 0. Since Aₙ ≠ 0, we must have sin(3λₙ) = 0.

This implies that 3λₙ = nπ, where n is an integer.

Therefore, λₙ = (nπ)/3.

Substituting the eigenvalues into the general solution, we have:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

where Aₙ are the coefficients that can be determined from the initial condition.

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Answer:

.aabc=amn0#1211

Step-by-step explanation:

nosascoOsasco n=12.8

Answer:

The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Step-by-step explanation:

We use the Exponential distribution,

Since we are given that on average, 5 pregnant women with high blood pressure come per week,

So, average = m = 5

Now, on average, 5 people come every week, so,

5 women per week,

so, we get 1 woman per (1/5)th week,

Hence, the mean is m = 1/5 for a woman arriving

and λ = 1/m = 5 = λ

we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,

P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,

Now,

P(X>1) = 1 - P(X<1),

Now, the probability density function is,

\(f(x) = \lambda e^{-\lambda x}\)

And the cumulative distribution function (CDF) is,

\(CDF = 1 - e^{-\lambda x}\)

Now, CDF gives the probability of an event occuring within a given time,

so, for 1 week, we have x = 1, and λ = 5, which gives,

P(X<1) = CDF,

so,

\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)

So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Answer:

81 days

Step-by-step explanation:

Formula to solve this type of equation \(t=\frac{k}{p}\)

t is time

k is a constant

p is people

We must substitute the values into the equation

\(54=\frac{k}{9}\)

\(k=486\)

Now we must substitute it to find the time

\(t=\frac{486}{6}\)

you get 81

It would take \(6\) builders  \(36\) days to complete the same house.

Builders are those person whose job is to build or repair houses and other buildings.

We have,

\(9\) builders take \(54\) days to complete a house.

So,

\(1\)  builder will take  \((\frac{54}{9})\)  days to complete a house,

In the same way,

\(6\)  builder will take  \((\frac{54}{9}*6)\)  days to complete a house,

i.e.

\(6\)  builder   \(=(\frac{54}{9}*6)= 36\) days.

Hence, we can say that it would take \(6\) builders  \(36\) days to complete the same house.

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Let c be the event that the outcome on the die is 3 or larger so:

A is the outcome is an even number

A →{2, 4, 6}

B is outcome is 4 or smaller

B→{1, 2, 3, 4}

C is outcome is 3 or larger

C→{3, 4, 5, 6}

A∩B = {2, 4}

P(A∩B) = 2/6

⇒P(A∩B) = 1/3

B∩C = {3, 4}

P(B∩C) = 2/6

⇒P(B∩C) = 1/3

P(A) = 1/2 ,   P(B) = 2/3,   P(C) = 2/3

⇒P(A∩B) = 1/3 = P(A) P(B)

Therefore, A and B are independent

P(B∩C) = 1/3 ≠ P(B) P(C)

Therefore, B and C are not independent .

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The initial temperature of the soda is 22 degrees Celsius, and its temperature after 20 minutes is approximately 10 degrees Celsius.

To find the initial temperature of the soda, we need to evaluate the temperature function T(x) at x = 0.

T(x) = -5 + 27e^(-0.03x)

T(0) = -5 + 27e^(-0.03(0))

T(0) = -5 + 27e^0

Since any number raised to the power of 0 is 1, we have:

T(0) = -5 + 27(1)

T(0) = -5 + 27

T(0) = 22

Therefore, the initial temperature of the soda is 22 degrees Celsius.

To find the temperature of the soda after 20 minutes, we evaluate the temperature function at x = 20.

T(x) = -5 + 27e^(-0.03x)

T(20) = -5 + 27e^(-0.03(20))

T(20) = -5 + 27e^(-0.6)

Using a calculator, we can compute e^(-0.6) ≈ 0.5488.

T(20) = -5 + 27(0.5488)

T(20) = -5 + 14.8152

T(20) ≈ 9.8152

Therefore, the temperature of the soda after 20 minutes is approximately 10 degrees Celsius (rounded to the nearest degree).

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The probability for randomly removing marbles with replacement is 0.044

The given parameters are:

Red = 4

Green = 6

Yellow = 8

This means that

Total = 18

The probability for randomly removing marbles with replacement is represented as:

P = P(Yellow) * P(Yellow) * P(Red)

So, we have

P = 8/18 * 8/18 * 4/18

Simplify

P = 4/9 * 4/9 * 2/9

Evaluate

P = 0.044

Hence, the probability for randomly removing marbles with replacement is 0.044

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Step-by-step explanation:

The tip share is 10% of your sales. For this fact you as a server are not supposed to roll silverware, bus tables, and more.

Answer:

~10.8 (10.7928)

Step-by-step explanation:

1. Divide 18 from 100; .18

2. Multiply .18 with 59.96

Value of an exterior angle of a triangle is equal to the sum of values of two opposite interior angles of a triangle.

\(\qquad\displaystyle \tt \dashrightarrow \: 5x + 10 = 40 + 70\)

\(\qquad\displaystyle \tt \dashrightarrow \: 5x = 110 - 10\)

\(\qquad\displaystyle \tt \dashrightarrow \: 5x = 100\)

\(\qquad\displaystyle \tt \dashrightarrow \: x = 100 \div 5\)

\(\qquad\displaystyle \tt \dashrightarrow \: x = 20\)

Value of x = 20°

Hey! there . Thanks for your question :)

Answer:

Step-by-step explanation:

In this question we are given with two interior angles of the triangle that are 40° and 70° , also we are given an exterior angle that is (5x + 10)°. And we are asked to find the value of angle x.

Solution :-

For finding the value of angle x , we have to use exterior angle property of triangle which states that sum of opposite interior angles of triangle is equal to the given exterior angle. So :

Step 1: Making equation :

\( \longmapsto \: \sf{40 {}^{°} + 70 {}^{°} = (5x + 10) {}^{°} }\)

Solving :

\( \longmapsto \: \sf{110 {}{°} = (5x) {}^{°} +10 {}^{°} }\)

Step 2: Subtracting 10 on both sides :

\( \longmapsto \sf{ 110 {}^{°} - 10 {}^{°} = 5x + \cancel{10 {}^{°}} - \cancel{10 {}^{°} } }\)

We get ,

\( \longmapsto \sf{(5x ){}^{°} = 100 {}^{°} }\)

Step 3: Dividing both sides by 5 :

\( \longmapsto \dfrac{ \cancel{5}x {}^{°} }{ \cancel{5}} = \dfrac{ \: \: \: \: \cancel{ 100} {°}^{} }{ \cancel{5} }\)

On cancelling , we get :

\( \longmapsto \underline{\boxed{\red{\sf{ \bold{ x = 20 {}^{°} }}}}} \: \: \bigstar\)

Verification :-

For verifying sum of both the interior angles is equal to given exterior angles. As we get the value of x as 20 we need to substitute it's value in place x and then L.H.S must be equal to R.H.S :

Therefore , our answer is correct .

Answer:

3600

Step-by-step explanation:

Given that there are 8 people to be seated around a circular table.

As per formula:

Number of ways that they n people can sit around a circular table = \((n-1)!\)

We know that 2 people of out of these 8 are not allowed to sit together.

If we subtract the number of ways of these 2 people sitting together from the total number of ways of sitting of 8 people, we will get the number of ways that these 2 people do not sit together.

Number of ways of 2 people not sitting together = Total number of ways of 8 people sitting - Number of ways these 2 people sitting together.

Using formula:

Total number of ways = \((8-1 )! = 7! = 5040\)

Let these two people always sit together, so these 2 can be thought as one pair.

So, 6 people and 1 pair,

Total number of ways the 2 people sitting together = \((7-1)! \times 2 = 6! \times 2 = 720 \times 2 =1440\)

Total number of ways that the two do not sit together =

\(5040 - 1440\\\Rightarrow 3600\)

If \($&f(x)=\frac{19}{x^{2}} \\\) then the inverse function exists  \($&f^{-1}(x)=\sqrt{\frac{19}{x}}\).

An inverse function in mathematics exists function which "reverses" the another function.

Let f(x) = y, then the inverse function, \($x=f^{-1}(y)$\)

\($&f(x)=\frac{19}{x^{2}} \\\)

\($&y=\frac{19}{x^{2}} \\\)

\($&x^{2}=\frac{19}{y} \\\)

simplifying the equation, we get

\($&x=\sqrt{\frac{19}{y}} \\\)

\($&x^{-1}=f^{-1}(y)=\sqrt{\frac{19}{y}} \\\)

\($&f^{-1}(y)=\sqrt{\frac{19}{y}},\)  then \($&f^{-1}(x)=\sqrt{\frac{19}{x}}\).

If \($&f(x)=\frac{19}{x^{2}} \\\) then the inverse function exists  \($&f^{-1}(x)=\sqrt{\frac{19}{x}}\).

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Answer:

.79x+24=1.29

took way long then it should my fault but 1.29-.79=.5

x=18/.5

x=36 sorry for taking so long and this the answer i just answered it in a weird way sorry

Step-by-step explanation:

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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Answer: 0.9 is the answer hope I helped.

Step-by-step explanation:

The require value of side of rectangle(x) is equal to 0.9 in.

A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle. It is also known as an equiangular quadrilateral for this reason. Rectangles can also be referred to as parallelograms because their opposite sides are equal and parallel.

We have;

length of longer side = 6.4 in and loneger side of small rectangle = 1.6 in.

Then,

Scale factor = 6.4/1.6  = 4

It means Sides of big rectangle is 4 times of small rectangle.

We also have smaller side of big rectangle = 3.6 in

3.6 = 4x

x = 3.6/4

x = 0.9

Thus, required value of x is 0.9 in.

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Answer:

Explanation

There are some activities in Courseware content that report scores and some that just report mastery and/or completion status.

Resolution

Dynamic vs. Non-dynamic mastery tests

Mastery tests give mastery status if the score is 80% or higher, but not all tests report a score. There are two types of mastery tests in Courseware content:

Non-dynamic tests: Those that do report a score, such as those in the Writing Process and Practice titles, in the Grammar and Mechanics modules, give the same number of questions each time; these are non-dynamic tests. For example, Splitting Fused Run-ons: Mastery Test presents ten questions. Even if the Learner answers the first three questions incorrectly and is, at that point, no longer able to answer eight correctly to achieve mastery, the remaining seven questions are presented.

Dynamic tests: Mastery tests from some content titles, such as Essential Reading Skills, however, are dynamic, which means they adapt to the Learner's responses. These tests do not always give the maximum number of questions; instead, they will end sooner if 80% is either achieved or no longer achievable. These tests show mastery if 80% or better was achieved, but do not show a score. For example, in Essential Reading Skills, Pronouns: Mastery Test, the maximum number of questions presented is five; mastery requires four questions are answered correctly. The test will end early if the student answers the first four correctly or two incorrectly out of the first four. Mastery is still based on achieving 80% or better, but the score is not fully determined, so no score is reported, by design.

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

because i did it its 5

The solution to the given system of equations is a = 6, b = 4.

The system of equations is given as follows:

a + b = 10  .....(i)

a - b = 2    .....(ii)

To solve this system of equations, we can use the method of elimination.

Adding the two equations, we get:

(a + b) + (a - b) = 10 + 2

2a = 12

a = 6

Substituting a = 6 into one of the equations, we get:

6 - b = 2

b = 4

Therefore, the solution to the system of equations is:

a = 6, b = 4.

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