state the number of subsets that set {4,8,12,16,20,24,28,32,36,20} has

Answer:

(2,-1)

x=2

y=-1

Step-by-step explanation:

The answers are 24.44°, 35.10°,  PS is 21.20,  ∠CDB is 68.73°, and length of the ramp is 44.65

It is given the right angle triangle in the picture.

It is required to find the sides and angles.

The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

In the first diagram:

\(\rm tan x = \frac{opposite}{adjacent }\)

\(\rm tanx =\frac{10}{22}\)

\(\rm x = tan^-^1(\frac{10}{22} )\\\\\rm x = 24.44\)

In the second diagram:

\(\rm cos x = \frac{adjacent}{hypotenuse} \\\\\rm cosx = \frac{27}{33} \\\\\rm x = cos^-^1(\frac{27}{33})\\\\\rm x = 35.10\)

In the third diagram:

∠QRS = 28° and QR = 39

\(\rm tan28 = \frac{opposite}{39} \\\\\rm opposite = 39 \times tan28\)

opposite QS = 20.74

\(\rm sin76 = \frac{QS}{pS} \\\\\rm PS = \frac{20.74}{sin76} \\\\PS = 21.34\)

In the fourth diagram:

\(\rm tan47 = \frac{opposite }{18} \\\\\rm Opposite = 19.30\)

\(\rm cosx = \frac{7}{19.30} \\\\\rm x = cos^-^1(\frac{7}{19.30} )\\\\\ \rm x = 68.73\)Where x = ∠CDB

In the last:

We can use sin ratio to find the length of the ramp:

\(\rm sin 21 =\frac{16}{x}\\ \\\rm x =\frac{16}{sin21} \\\\\rm x = 44.65\) Where x is the length of the ramp

Thus, the answers are 24.44°, 35.10°,  PS is 21.20,  ∠CDB is 68.73°, and length of the ramp is 44.65.

Know more about trigonometry here:

brainly.com/question/26719838

Answer:D

Step-by-step explanation:y-4=3(x-1)

y-4=0 3(x-1)

y=-4 , 3x-3

y=-4=3x-3

3 3

y=-4, = x=1

y-x=1+4=5

The quadratic function equation: y = ax^2 + bx + c, with c = 2, to obtain the quadratic model.

To determine whether a quadratic model exists for the given set of values (-1, 1/2), (0, 2), and (2, 2), we can check if the points lie on a straight line. If they do, a linear model would be appropriate..

However, if the points do not lie on a straight line, a quadratic model may be suitable.

To check this, we can plot the points on a graph or calculate the slope between consecutive points. If the slope is not constant, then a quadratic model may be appropriate.

Let's calculate the slopes between the given points

- The slope between (-1, 1/2) and (0, 2) is (2 - 1/2) / (0 - (-1)) = 3/2.

- The slope between (0, 2) and (2, 2) is (2 - 2) / (2 - 0) = 0.

As the slopes are not constant, a quadratic model may be appropriate.

Now, let's write the quadratic model. We can use the general form of a quadratic function: y = ax^2 + bx + c.

To find the coefficients a, b, and c, we substitute the given points into the quadratic function:

For (-1, 1/2):
1/2 = a(-1)^2 + b(-1) + c

For (0, 2):
2 = a(0)^2 + b(0) + c

For (2, 2):
2 = a(2)^2 + b(2) + c

Simplifying these equations, we get:
1/2 = a - b + c    (equation 1)
2 = c               (equation 2)
2 = 4a + 2b + c     (equation 3)

Using equation 2, we can substitute c = 2 into equations 1 and 3:

1/2 = a - b + 2    (equation 1)
2 = 4a + 2b + 2     (equation 3)

Now we have a system of two equations with two variables (a and b). By solving these equations simultaneously, we can find the values of a and b.

After finding the values of a and b, we can substitute them back into the quadratic function equation: y = ax^2 + bx + c, with c = 2, to obtain the quadratic model.

Learn more about quadratic function equation

brainly.com/question/33812979

#SPJ11

The set of values (-1, 1/2), (0, 2), (2, 2), we can determine whether a quadratic model exists by checking if the points lie on a straight line. To do this, we can first plot the points on a coordinate plane. After plotting the points, we can see that they do not lie on a straight line. The quadratic model for the given set of values is: y = (-3/8)x^2 - (9/8)x + 2.

To find the quadratic model, we can use the standard form of a quadratic equation: y = ax^2 + bx + c.

Substituting the given points into the equation, we get three equations:

1/2 = a(-1)^2 + b(-1) + c
2 = a(0)^2 + b(0) + c
2 = a(2)^2 + b(2) + c

Simplifying these equations, we get:

1/2 = a - b + c
2 = c
2 = 4a + 2b + c

Since we have already determined that c = 2, we can substitute this value into the other equations:

1/2 = a - b + 2
2 = 4a + 2b + 2

Simplifying further, we get:

1/2 = a - b + 2
0 = 4a + 2b

Rearranging the equations, we have:

a - b = -3/2
4a + 2b = 0

Now, we can solve this system of equations to find the values of a and b. After solving, we find that a = -3/8 and b = -9/8.

Therefore, the quadratic model for the given set of values is:

y = (-3/8)x^2 - (9/8)x + 2.

This model represents the relationship between x and y based on the given set of values.

Learn more about quadratic:

https://brainly.com/question/22364785

#SPJ11

Answer:

17

Step-by-step explanation:

1 and 7 are odd

1 is six less than 7

17 is less than 20

Answer:

Step-by-step explanation:

To solve an algebraic expression in simplest form, you can follow these steps:

1. Use the order of operations (PEMDAS) to simplify any arithmetic in the expression (parentheses, exponents, multiplication and division, addition and subtraction).

2. Combine like terms by adding or subtracting any coefficients in front of similar variables.

3. Divide or multiply both sides of the equation by the same non-zero number to solve for the variable.

4. If possible, factor the expression to make it simpler.

5. If the expression is a fraction, check for a common denominator and then simplify by canceling any common factors in the numerator and denominator.

6. If the expression is a radical, check for a perfect square and simplify by taking the square root of the number inside the radical.

7. Use the properties of exponents and logarithms to simplify the expression.

8. Evaluate the expression by plugging in the values of any known variables.

It's important to keep in mind that there may be multiple ways to simplify an algebraic expression and the solution that is in simplest form may not always be obvious.

Answer:

$257

Step-by-step explanation:

First we multiply the rate by time

8.5*32=$272

then we subtract the uniform fee

272-15=$257

(plz give brianliest ty)

Answer:

8.50x-15

Step-by-step explanation:

Flat rate is 15 so you subtract from income made. 8.50x is how much you make depending on how many hours you work. Thus income-fee= how much you make first week.

The second derivative of v with respect to t, denoted as d²v/dt², is equal to 4

The second derivative of v with respect to t, we will differentiate v twice.

v = 2t² + 7t + 11

First, let's find the first derivative of v with respect to t (dv/dt):

dv/dt = d/dt (2t² + 7t + 11)

Using the power rule of differentiation, we differentiate each term separately:

dv/dt = 2(2t) + 7(1) + 0

dv/dt = 4t + 7

Now, let's find the second derivative of v with respect to t (d²v/dt²):

d²v/dt² = d/dt (4t + 7)

Again, using the power rule of differentiation, we differentiate each term separately:

d²v/dt² = 4(1) + 0

d²v/dt² = 4

Therefore, the second derivative of v with respect to t, denoted as d²v/dt², is equal to 4.

To know more about second derivative click here :

https://brainly.com/question/29090070

#SPJ4

The probability that represents the likelihood of a single event occurring by itself is called marginal probability.

Marginal probability refers to the probability of an individual event happening independently without considering any other events. It focuses on a single variable or outcome without considering the relationship or dependencies with other variables.

To calculate marginal probability, you divide the number of times the specific event occurs by the total number of observations. For example, if you have a bag of marbles with different colors and you want to find the marginal probability of drawing a red marble, you would count the number of red marbles and divide it by the total number of marbles in the bag.

Marginal probability is often used when working with categorical variables or when studying the probability of a single event without considering any other variables or conditions. It provides a fundamental understanding of the likelihood of an event occurring in isolation, independent of any other factors.

Learn more about marginal probability here:

brainly.com/question/32575921

#SPJ11

An equation is formed of two equal expressions. The equation of the ellipse is,

⇒ [(x-6)²/49] + [(x-2)²/9] = 1.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

As it can be seen that the centre of the ellipse is at (6,2). Also, the major radius is equal to 7 units, while the minor radius is equal to 3 units. The general equation of the ellipse is given as,

(x - h)²/a² + (y - k)²/b² = 1

(x - 6)²/7² + (y - 2)²/3² = 1

[(x-6)²/49] + [(x-2)²/9] = 1.

Hence, the equation of the ellipse is,

⇒ [(x-6)²/49] + [(x-2)²/9] = 1 .

Learn more about Equation visit:

brainly.com/question/2263981

#SPJ1

Answer:

the answer is A on edge :)

Step-by-step explanation:

good luck <3

Answer:

isosceles triangle

Step-by-step explanation:

line CB is the transversal for the two parallel lines, so angle CBA and angle BCE are the same.

since a straight line is 180 degrees, we can solve for angle BCA by subtracting the other angles on the line from 180

180-80-50 = 50

since triangles have 180 degrees, we can solve for the last angle by subtracting the angles we already know from 180

180-80-50

two of the angles are the same, making this an isosceles triangle

The simplified form of the expression 2x^2 - 3x - 2 remains as 2x^2 - 3x - 2.

To simplify the expression 8x - 2x - x^2, we can combine like terms by adding or subtracting coefficients.

8x - 2x - x^2

First, let's combine the x terms:

(8x - 2x) - x^2

This simplifies to:

6x - x^2

Therefore, the simplified form of the expression 8x - 2x - x^2 is 6x - x^2.

Now, let's simplify the expression 2x^2 - 3x - 2:

The expression is already in simplified form, and no further simplification is possible.

Therefore, the simplified form of the expression 2x^2 - 3x - 2 remains as 2x^2 - 3x - 2.

​for such more question on simplified form

https://brainly.com/question/11680269

#SPJ8

Answer:

Actually sorry

The image was not clear

But I will give you a hint.

Notw:

If one side is equal than it is congruent.

The volume of the solid is 243/2 cubic units. To find the volume of the solid, we need to integrate the function z = 9 - y - x^2 over the bounded region in the first octant.

The region is bounded by the coordinate planes, so we have the limits of integration as follows:

0 ≤ x ≤ √9-y
0 ≤ y ≤ 9

The solid is bounded, so the integral will give us a finite volume:

V = ∫∫z dA, where the double integral is taken over the bounded region.

V = ∫[0,√9-y]∫[0,9] (9-y-x^2) dx dy

We can simplify the integrand by integrating with respect to x first:

V = ∫[0,9] ∫[0,√9-y] (9-y-x^2) dx dy
V = ∫[0,9] (9y - y^2 - 3(9-y)^2/2) dy
V = ∫[0,9] (-3y^2 + 54y - 243/2) dy
V = [-y^3/3 + 27y^2 - 243/2 y] [0,9]
V = 243/2

Therefore, the volume of the solid is 243/2 cubic units.

Learn more about solid  here:

https://brainly.com/question/17061172?

#SPJ11

The maximum absolute values of the shear and bending moments are

Cy = 1800 lbs

Ay = 4800 lbs

Max absolute BM = 14400 lbs-feet

Given,

Draw the shear and bending moment diagrams for the beam and the indicated loading, and then figure out the highest absolute values of the shear and bending moment.

(a) The shears and bending-moment diagrams,

Ay + Cy = 800 * 9 - 600

Ay + Cy = 6600 lbs

Ay

∑Ma = 0

Cy * 15 + 600 * 9 = 800 * 9²/2

Cy = 1800 lbs

Ay = 4800 lbs

(b) Determine the maximum absolute values of the shear and bending moment,

Map absolute B.M:

Map positive B.M occurs, when SF = 0 is at 'x'

4800 - 800x = 0

     x = 6ft

Positive map = 4800 * 6 = 800 * 6²/2

Max absolute BM = 14400 lbs-feet and it developed at 6ft from support A.

To learn more about bending moment click here:

brainly.com/question/28088830

#SPJ4

Answer:

y intercept = 5

Step-by-step explanation:

In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.

Answer:

Step-by-step explanation:

i don't want to make u mad but i'm taking a test with that same question and i got 29.25 but i'm also not the smartest

Answer:

A = 2 1/2 ft^2

Step-by-step explanation:

The area of a rectangle is given by

A = l*w

A = 3 * 5/6

A = 5/2 ft^2

A = 2 1/2 ft^2

Answer:

A=2.5 ft^2

Step-by-step explanation:

A=3

A=3(5/6)

A=2.5 ft^2

Except than x = 1, all real numbers fall within the function's domain.

Since there are no limitations on what we can substitute for x, the domain of a function, f(x), is all real numbers because any real numbers would make f(x) a defined function. As a result, when this is not the case, the domain of a function, f(x), is not all real numbers.

The rational function r(x) = 2x/(x-1) is defined as follows.

So, we set the denominator to zero and solve for x in order to determine the domain of r(x):

x - 1 = 0

x = 1

Hence, x = 1 is the only value of x that causes the denominator to equal 0. R(x) therefore has a domain of all real numbers other than x = 1.

We can express the domain as follows in interval notation:

(-∞, 1) U (1, ∞)

Except than x = 1, all real numbers fall within the function's domain.

To know more about function visit:-

https://brainly.com/question/14830166

#SPJ1

Question:

Which of the following correctly describes the domain of the function shown below?

r(x) = 2x x-1

A. {x:x0}

B. {x: x = 1}

c. x all .real .numbers}

D. xx1}

Here are the vectors **t**, **n**, and **b** at the given point:

* **t** = (-3 sin t, 3 cos t, 0)

* **n** = (-3 cos t, -3 sin t, 3 / cos^2 t)

* **b** = (3 cos^2 t, -3 sin^2 t, -3)

The vector **t** is the unit tangent vector, which points in the direction of the curve at the given point. The vector **n** is the unit normal vector, which points in the direction perpendicular to the curve at the given point. The vector **b** is the binormal vector, which points in the direction that is perpendicular to both **t** and **n**.

To find the vectors **t**, **n**, and **b**, we can use the following formulas:

```

t(t) = r'(t) / |r'(t)|

n(t) = (t(t) x r(t)) / |t(t) x r(t)|

b(t) = t(t) x n(t)

```

In this case, we have:

```

r(t) = (3 cos t, 3 sin t, 3 ln cos t)

r'(t) = (-3 sin t, 3 cos t, 3 / cos^2 t)

```

Substituting these into the formulas above, we can find the vectors **t**, **n**, and **b** as shown.

The vectors **t**, **n**, and **b** are all orthogonal to each other at the given point. This is because the curve is a smooth curve, and the vectors are defined in such a way that they are always orthogonal to each other.

to learn more about perpendicular click here:

brainly.com/question/29368768

#SPJ11

The binormal vector (b) is perpendicular to both the tangent and normal vectors and completes the orthogonal coordinate system.

To find the vectors t, n, and b at the given point, we need to calculate the first derivative, second derivative, and third derivative of the position vector r(t).
Given r(t) = (3 cos t, 3 sin t, 3 ln cos t), we can calculate the derivatives as follows:
First derivative:
r'(t) = (-3 sin t, 3 cos t, -3 sin t / cos t)
Second derivative:
r''(t) = (-3 cos t, -3 sin t, -3 cos t / cos^2 t + 3 sin^2 t / cos t)
       = (-3 cos t, -3 sin t, -3 cos t / cos^2 t + 3 tan^2 t)
Third derivative:
r'''(t) = (3 sin t, -3 cos t, 6 cos t / cos^3 t - 6 sin t / cos t)
        = (3 sin t, -3 cos t, 6 sec^3 t - 6 tan t sec t)
At the given point (3, 0, 0), substitute t = 0 into the derivatives to find the vectors:
r'(0) = (0, 3, 0)
r''(0) = (-3, 0, 3)
r'''(0) = (0, -3, 6)
Therefore, at the given point, the vectors t, n, and b are:
t = r'(0) = (0, 3, 0)
n = r''(0) = (-3, 0, 3)
b = r'''(0) = (0, -3, 6)
These vectors represent the tangent, normal, and binormal vectors, respectively, at the given point.
The tangent vector (t) represents the direction of motion of the curve at that point. The normal vector (n) is perpendicular to the tangent vector and points towards the center of curvature.

The binormal vector (b) is perpendicular to both the tangent and normal vectors and completes the orthogonal coordinate system.
Remember to check your calculations and units when applying this method to different functions.

To know more about derivatives visit:

https://brainly.com/question/25324584

#SPJ11

Answer:

D. <15/√346>

Have a nice day! :)

Answer:

I believe the answer is 12, with 9 remaining students.

Answer:

i am sorry ,but were is the diagram

Answer:

10

Step-by-step explanation:

100 divided by 10 = 10

Yes, function C is a piecewise function because it is defined differently for different input values.

To learn more about subset of algebraic functions refer to:

https://brainly.com/question/30116979

#SPJ1

Answers:

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

Explanation:

Let's say that the letter k replaces the green box

We have the equation y = kx

Plug in (x,y) = (7,35) to get the equation 35 = k*7

Dividing both sides by 7 leads to k = 5

Therefore, the direct variation equation is y = 5x

We can check this by plugging in x = 7

y = 5x

y = 5*7

y = 35

So x = 7 leads to y = 35 as expected.

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

Do the same for x = 4

y = 5x

y = 5*4

y = 20 when x = 4

Side note: direct variation equations always go through the origin.

Answer:

20

Step-by-step explanation:

if y varies directly with x, then it takes the form y=mx

to find m, substitute in the values of x and y to get 35=m*7 and simplify to get that m=5

then the equation becomes y=5x

substitute in the value they gave for x which is 4 to get y=5*4

to get that y=20

Answer:it’s A

Step-by-step explanation: Ik it’s A

MAIN ANSWER :the total degree of freedom is (n-1)

120-1=119

SUPPORTING ANSWER:

Degrees of freedom refer to the maximum number of logically independent values in a data sample, which are values with the freedom to vary. If there is an outstanding requirement of the data sample, specific data sample items must be chosen once the degrees of freedom quantity has been selected.

BODY OF THE ANSWER

given that total no of patients are n=120

different types of treatement are 4

the total degree of freedom is (n-1)

120-1=119

final answer :therefore final answer is 119.

to learn more about degree of freedom link

https://brainly.in/question/22698172

#SPJ4

The total degree of freedom is (n-1) that is 120-1=119

What is degree of freedom?

Degrees of freedom refer to the maximum number of logically independent values in a data sample, which are values with the freedom to vary. If there is an outstanding requirement of the data sample, specific data sample items must be chosen once the degrees of freedom quantity has been selected.

What is random sample?

In statistics, a simple random sample is a subset of people chosen at random from a larger group, all of whom were chosen with the same probability. It is a method of choosing a sample at random.

Given that total no of patients are n=120

Different types of treatment are 4

The total degree of freedom is (n-1)

120-1=119

Therefore final answer is 119.

To learn more about degree of freedom link

https://brainly.com/question/28463613

#SPJ4

Answer:

See steps below

Step-by-step explanation:

-3(2x+7)=-29-4x

Use the distributive property

-6x-21=-29-4x

Add 21 to each side

-6x=-8-4x

Add 4x to both sides

-2x=-8

Divide by -2

x=4