Can someone please help me in 33 and 36!!

Answer:

the rise/ run would be 3/3

Step-by-step explanation:

Answer:

14/24

Step-by-step explanation:

multiply 7 x 2 and 8 x 3

Answer:

Step-by-step explanation:

7/8 * 2/3

7 * 2 = 14

8 * 3 = 24

14/24 = 7/12

answer: 7/12

The equation expressing y as a function of t is y(t) = A * sin(B(t - C)) + D, where A is the amplitude, B is the frequency, C is the phase shift, and D is the vertical shift.

To express y as a function of t, we can use a sinusoidal function due to the given information that y varies sinusoidally with time. The general form of a sinusoidal function is y(t) = A * sin(B(t - C)) + D, where A represents the amplitude, B represents the frequency, C represents the phase shift, and D represents the vertical shift.

In this scenario, we are provided with the deepest point at t = 4 min, where y = -1000 m, and the shallowest point at t = 9 min, where y = -200 m. These points allow us to determine the amplitude and vertical shift of the sinusoidal function. The amplitude is the absolute value of half the difference between the deepest and shallowest points, which in this case is |(-1000 - (-200))/2| = 400 m. The vertical shift is the average of the deepest and shallowest points, which is (-1000 + (-200))/2 = -600 m.

The frequency and phase shift are not explicitly given in the problem statement. Without this information, it is not possible to determine the specific values of B and C. Therefore, the equation expressing y as a function of t becomes y(t) = A * sin(B(t - C)) + D, where A = 400 and D = -600. The variables B and C would depend on the specific characteristics of the porpoising motion, which are not provided in the problem.

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Answer:

c. y = 2/3x + 6

Step-by-step explanation:

If you look closely, the line goes up two and right three so the slope is 2/3. The 6 represents the y intercept.

Answer:

27

Step-by-step explanation:

The triangle shown is an isoceles triangle. This means that there are two congruent base angles and a vertex angle. In this case, angle X and angle Y are the base angles, so we can set up an equation to first find the value of t.

5t - 13 = 3t + 3

2t - 13 = 3              (Subtract 3t from both sides)

2t = 16                   (Add 13 to both sides)

t = 8                      (Divide both sides by 2)

Now that we have the value of t, we can plug it back in to the expression for angle X to find its measure.

5(8) - 13

40 - 13

27

So, the measure of angle X is 27

To approximate the solution and maximize the given objective function we need to find the steepest ascent direction and iteratively update the values of x₁ and x₂ to approach the maximum value of z.

The method of steepest ascent involves finding the direction that leads to the maximum increase in the objective function and updating the values of the decision variables accordingly. In this case, we aim to maximize the objective function z = -(x₁ - 3)² - (x₂ - 2)².

To find the steepest ascent direction, we can take the gradient of the objective function with respect to x₁ and x₂. The gradient represents the direction of the steepest increase in the objective function. In this case, the gradient is given by (∂z/∂x₁, ∂z/∂x₂) = (-2(x₁ - 3), -2(x₂ - 2)).

Starting with initial values for x₁ and x₂, we can update their values iteratively by adding a fraction of the gradient to each variable. The fraction determines the step size or learning rate and should be chosen carefully to ensure convergence to the maximum value of z.

By repeatedly updating the values of x₁ and x₂ in the direction of steepest ascent, we can approach the solution that maximizes the objective function z. The process continues until convergence is achieved or a predefined stopping criterion is met.

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Answer:

The answer is x=7

Step-by-step explanation:

3x+18-8x=-17

move all terms to the left:

3x+18-8x-(-17)=0

add all the numbers together, and all the variables:

-5x+35=0

move all terms containing x to the left, all other terms to the right

-5x=-35

x=-35/-5

x=7

Therefore, the linear speed of the wheel on a bike is approximately 0.9π miles per hour.

The pace at which an object travels a specific distance in a predetermined amount of time is known as linear speed. By dividing the distance traveled by the time it takes to cover that distance, it may be used to determine how rapidly an item is travelling in a straight line. For instance, if a car moves 100 meters in 10 seconds, its linear speed is 10 meters per second. Linear speed is distinct from average speed, which takes into account any variations in velocity or direction throughout the duration of a voyage. Linear speed is also distinct from tangential speed, which is the pace at which an item travels along a circular route. Physics' fundamental idea of linear speed.

How to solve?

C=2πr,

C=2π(19)=38π.

linear speed of v=(38π/60)*5280=33.6π feet per second.

final speed of v=(33.6π/3600)*60=0.9π miles per hour.

Therefore, the linear speed of the bike is approximately 0.9π miles per hour.

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"-4(x-1)+6x=2(17-x)" for X

Exact Form: x= 15/2= 7-1/2

decimal form: X=7.5

Answer:

Step-by-step explanation:

1 ) multiply the number with the brackets (-4x -4 = 34 - 2x)

2) collect the like terms (-4x + 2x = 34 + 4)

3) -2x = 38

4) x = 38/-2

5) x = -19

The probability density function of EX + (1 - §)Y is given by f(x) * p + g(x) * (1 - p), where f(x) and g(x) are the density functions of X and Y, respectively, and p is the probability of success for the Bernoulli distributed random variable §.

To compute the probability density function (pdf) of EX + (1 - §)Y, we can make use of the properties of expected value and independence. The expected value of a random variable is essentially the average value it takes over all possible outcomes. In this case, we have two random variables, X and Y, with their respective density functions f(x) and g(x).

The expression EX + (1 - §)Y represents a linear combination of X and Y, where the weight for X is the probability of success p and the weight for Y is (1 - p). Since the Bernoulli random variable § is independent of X and Y, we can treat p as a constant in the context of this calculation.

To find the pdf of EX + (1 - §)Y, we need to consider the probability that the combined random variable takes on a particular value x. This probability can be expressed as the sum of two components. The first component, f(x) * p, represents the contribution from X, where f(x) is the density function of X. The second component, g(x) * (1 - p), represents the contribution from Y, where g(x) is the density function of Y.

By combining these two components, we obtain the pdf of EX + (1 - §)Y as f(x) * p + g(x) * (1 - p).

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If 0.4 Customers arrives after 1 minute-

0.4*5 = 2.0 cm

From 1947 to 1987, Willowbrook State School served Staten Island's Willowbrook neighborhood as a state-funded facility for youngsters with intellectual disabilities. The school had 6,000 students enrolled by 1965 despite being intended for 4,000.

Aerts entered through the doors of Willowbrook State School in 1971 with former Staten Island Advance writer Jane Kurtin, and took disturbing photos of children and adults with special problems who were confined in cages, hungry, and used as research experiments.

Geraldo Rivera, who was working as an investigative reporter for WABC-TV in New York at the time, began an investigation into Willowbrook soon after and found a number of appalling circumstances there, including overcrowding and subpar sanitary facilities.

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Answer:

On the left, the first one goes with -3, the second one goes with 3, the third goes with -3, the 4th goes with 3, and the bottom one goes with 3.

Step-by-step explanation:

Answer:

done

Step-by-step explanation:

sskskssksksksksskskkskskskskkskkss

Answer:

yes coz in a right angled triangle all the sides are never equal

Step-by-step explanation:

yes coz in a right angled triangle all the sides are never equal

Answer:

No, they do not make a right triangle.

Step-by-step explanation:

Use the Pythagorean Theorem to see if the sides form a right triangle.

\(a^2+b^2=c^2\)

'20' will be 'c'. It is the largest number in the sides given.

'8' will be 'a' and 17 will be 'b'.

\(8^2+17^2=20^2\\\rightarrow 8^2=64\\\rightarrow 17^2 = 289\\\rightarrow 20^2=400\\64+289=400\\\boxed{353\neq 400}\)

The sides do not make a right triangle. They do not satisfy the theorem.

The number of ways the disk jockey select no more than 8 CDs is 50 ways.

Belmont records sends a disk jockey 10 new CD releases for possible use.

Combination

Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements. The number of combinations of n different things taken r at a time, denoted by nCr and it is given by, nCr=n!/r!(n−r)!,where 0 ≤ r ≤ n.

In mathematics, a combination is a way of selecting items from a collection where the order of selection does not matter. Suppose we have a set of three numbers P, Q and R. Then in how many ways we can select two numbers from each set, is defined by combination.

Permutation

A permutation is an arrangement of objects in a definite order. The members or elements of sets are arranged here in a sequence or linear order. For example, the permutation of set A={1,6} is 2, such as {1,6}, {6,1}. As you can see, there are no other ways to arrange the elements of set A.

Ways to choose 8 CDs is 10C8

Now, 10C8 =10!/8!(10-8)!

= (10×10×8!)/(8!×2!)

= 10×5

= 50 ways

Therefore, the number of ways the disk jockey select no more than 8 CDs is 50 ways.

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Answer:

Y = 8x - 55

Step-by-step explanation:

Answer:

The answer is 100% B

Step-by-step explanation:

The graph of the polynomial rational function is f ( x ) = x / ( x + 2 ) ( x - 5 )

Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.

Identify the even and odd multiplicities of the polynomial functions' zeros.

Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.

The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities

Given data ,

Let the polynomial function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = x / ( x + 2 ) ( x - 5 )

The rational function is of the form P ( x ) / Q ( x ) , where Q ( x ) ≠ 0

So , the value of P ( x ) = x

And , the value of Q ( x ) = ( x + 2 ) ( x - 5 )

Therefore , the graph of the rational function is plotted

Hence , the graph of the polynomial is f ( x ) = x / ( x + 2 ) ( x - 5 )

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The difference quotient for the given function is 9 -2/h.

The difference quotient for the given function can be calculated as:

[f(x+h) - f(x)]/h

= [(3(x+h)² - 2(x+h) + 5) - (3x² - 2x + 5)]/h

= (3x² + 6xh + 3h² - 2x - 2h + 5 - 3x² + 2x - 5)/h

= (6xh + 3h² - 2h)/h

= (6x + 3h -2)/h

Simplifying the expression further, we get:

(6x + 3h -2)/h = 6 + 3h/h -2/h

= 6 + 3 -2/h

= 9-2/h

Therefore, the difference quotient for the given function is 9 -2/h.

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"Your question is incomplete, probably the complete question/missing part is:"

Find the difference quotient [f(x+h)-f(x)]/h, where h≠0, for the function below.

f(x)=3x² -2x+5. Simplify your answer as much as possible.

According to the solving the rate at which the area of the circle increases when the radius is 8 m.

= 64π m²/s.

The "space enclosed within the perimeter or the boundary" of the specified shape is what is referred to as the area of a shape. Using mathematical methods, we determine the area of various shapes.

Using the equation of circle formula, we can determine the equation of any circle given its radius and center coordinates. (x−x1)2+(y−y1)2=r2 ( x − x 1 ) 2 + ( y − y 1 ) 2 = r 2 . is the equation for the circle formula.

The area of a circle (A) with radius (r) is given by

A = πr²

According to the dA/dt rule:

\(\frac{dA}{dt} = \frac{d(π r^2)}{dt}\)

= (dr/dt) = 2 πr(dr/dt)

given:

(dr/dt) = 4m/s.

dA/dt = 2 πr(4).

dA/dt = 8πr.

When r = 8m.

Substituting the value we get:

= dA/dt = 8πr.

= dA/dt = 8π8.

=dA/dt = 64π m²/s.

According to the solving the rate (in m2/s) at which the area of the circle increases when the radius is 8 m.

= 64π m²/s.

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Answer:

8 hours

Step-by-step explanation:

15/3 = 5

12/3 = 4

5 x 2 = 10

4 x 2 = 8

The x-intercept is (4, 0) and y-intercept is (0, 1200) for the equation y = -300x + 1200 and graph shown below.

The data are simply presented in a structured manner in the graph. It helps us understand the data better. The mathematical data accumulated through perception is alluded to as information.

The data or information is shown in a line graph by being connected to one another by a straight line, which is a series of markers or dots.

Given equation is:  y = -300x + 1200

For y-intercept we have to put, x=0

⇒ y = 1200

For x-intercept put, y= 0

⇒ 0 = -300x +1200

⇒ x= 4

Hence, the y-intercept is ( 0, 1200 ) and the x-intercept is ( 4, 0 )

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Step-by-step explanation:

3/2x + 12 = -y

divide all sides by -1

-y/-1 = (3/2x)/-1 + 12/-1

y = -3/2x - 12

Answer:

obtuse

Step-by-step explanation:

The angle on the protractor is 113 degrees, which makes it an obtuse angle.

Obtuse angle is any angle greater than 90° and the angle shown is 133°

Answer:

A

Step-by-step explanation:

If he travels 2640 feet every 3 minutes and he travels for more than 3 minutes then hes traveled more than 2640 feet

Answer:

\(\frac{10q^5w^7}{2w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}} =20q^{17}w^9\)

Step-by-step explanation:

Given

\(\frac{10q^5w^7}{2w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}}\)

Required

Determine the equivalent expression

\(\frac{10q^5w^7}{2w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}}\)

Simplify the first fraction

\(\frac{5q^5w^7}{w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}}\)

Apply law of indices on the first fraction;

\(5q^5w^{7-3}.\ \frac{4\left(q^6\right)^2}{w^{-5}}\)

\(5q^5w^4.\ \frac{4\left(q^6\right)^2}{w^{-5}}\)

\(\ \frac{5q^5w^4*4\left(q^6\right)^2}{w^{-5}}\)

Apply law of indices:

\(5q^5w^4*4\left(q^6\right)^2 * w^{5}\)

Evaluate the bracket

\(5q^5w^4*4 * q^{12} * w^{5}\)

Collect Like Terms

\(5*4q^5* q^{12}*w^4 * w^{5}\)

\(20q^5* q^{12}*w^4 * w^{5}\)

\(20q^{5+12}*w^{4+5}\)

\(20q^{17}w^9\)

Hence:

\(\frac{10q^5w^7}{2w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}} =20q^{17}w^9\)

T1 and T2 are stop times, both of these events belong to Ft, their union also belongs to Ft. Hence, we can conclude that T1 + T2 is also a stop time.

We are given two stop times T1 and T2 with respect to the same filtration.

We are to prove that the maximum and the sum of T1 and T2, i.e., max(T1, T2) and T1 + T2 are also stop times.  

Let us consider the stop time T1.

This means that the event {T1 ≤ t} belongs to the sigma-algebra Ft, for all t≥0.

Similarly, let us consider the stop time T2.

This means that the event {T2 ≤ t} belongs to the sigma-algebra Ft, for all t≥0.

We are to prove that max(T1, T2) is also a stop time.

We can do so by considering the following event:{max(T1, T2) ≤ t}.

If T1 ≤ T2, then this event reduces to {T2 ≤ t} which belongs to Ft.

Similarly, if T2 ≤ T1, then this event reduces to {T1 ≤ t} which also belongs to Ft.

Thus, we can conclude that max(T1, T2) is a stop time.

We are to prove that T1 + T2 is also a stop time.

We can do so by considering the following event:{T1 + T2 ≤ t}.

This event can be expressed as:{T1 ≤ t − T2} ∪ {T2 ≤ t − T1}.

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3 enlargement is the scale factor of the dilation.

What is dilation?

resizing an object is accomplished through a change called dilation. The objects can be enlarged or shrunk via dilation. A shape identical to the source image is created by this transformation. The size of the form does, however, differ. A dilatation ought to either extend or contract the original form. The scale factor is a phrase used to describe this transition.

The scale factor is defined as the difference in size between the new and old images. An established location in the plane is the center of dilatation. The dilation transformation is determined by the scale factor and the center of dilation.

The options for this question are missing. Here are the missing options:

enlargement; 6

enlargement; 3

reduction; 3

reduction; 1/3

Hence, 3 enlargement is the scale factor of the dilation.

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D) 7.5

The vertex of a quadratic function is located at the highest or lowest point on the graph, known as the maximum or minimum point. To find the x-coordinate of the vertex, we need to use the formula x = -b/2a, where a and b are the coefficients of the quadratic function in standard form (ax^2 + bx + c). In this case, the equation of the quadratic function is not given, but we can see from the graph that it opens downwards (negative leading coefficient) and crosses the x-axis at x = 0 and x = 15. Therefore, the axis of symmetry is located halfway between these two x-intercepts, at x = (0 + 15)/2 = 7.5. This is the x-coordinate of the vertex.

Another way to confirm our answer is to look at the graph and observe that the vertex is located at the peak of the curve. We can see that the highest point on the graph occurs at x = 7.5, where the function has a minimum value of -6.25. Therefore, the x-coordinate of the vertex is 7.5.
I'm unable to view the image, but I can guide you through finding the x-coordinate of the vertex using a quadratic function. To find the x-coordinate of the vertex, you can use the formula:

x = -b / (2a)

Here, 'a' and 'b' are the coefficients of the quadratic equation in the form:

y = ax^2 + bx + c

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Answer:

blue line: y = x + 2  ||      green line: y = -2x+3

Step-by-step explanation:

For blue line:

take two coordinates: (0,2),(1,3)

slope:

\(\frac{y2-y1}{x2-x1}\)

\(\frac{3-2}{1-0}\)

\(1\)

equation:

y - y1 = m(x - x1)

y - 2 = 1(x - 0)

y = x + 2

For green line:

take two coordinates: (0,3),(2,-1)

slope:

\(\frac{y2-y1}{x2-x1}\)

\(\frac{-1-3}{2-0}\)

\(-2\)

equation:

y - y1 = m(x - x1)

y - 3 = -2(x-0)

y = -2x+3

Total time(arithmetic) taken by app to show nearest charging port will be 30 seconds.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division.

Main body:

As the driving directions algorithm requires searching through many possible routes to calculate the optimal route. the other operations, like incrementing the index and comparing the distances, take only a few nanoseconds.

Hence total time will be 30 seconds.

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