How do you read a limit on a graph?

Answer:

x = 13

Step-by-step explanation:

Find the diagram attached

From the diagram, the sum of angle of the straight line BCD is 180°. Hence;

<BCE+<ECF<90 = 180

<BCE+64+90=180

<BCE+154 = 180

<BCE = 180-154

<BCE = 26°

Next is to get x.

The sum of interior angles <BCE and <BEC is equal to exterior angle <ABE

<BCE + <BEC = <ABE

26+x = 3x

Collect like terms

26 =3x-x

26=2x

x = 26/2

x = 13

Hence the value of x is 13

Answer:

The probability of selecting a yellow pencil from a bag containing five green and four yellow pencils can be solved by using probability tree diagrams.

i) Probability tree diagram:

Here, the first event is the selection of the first pencil, which can either be yellow or green. The second event is the selection of the second pencil, which can also be either yellow or green. The diagram can be drawn as follows:

```

G Y

/ \ / \

G Y G Y

/ \ / \ / \ / \

G Y G Y G Y G Y

```

The probability of selecting a yellow pencil is represented by the branches leading to the Y node, and the probability of selecting a green pencil is represented by the branches leading to the G node.

ii) Probability of getting both counters chosen as yellow:

The probability of getting both counters chosen as yellow is the probability of selecting a yellow pencil on the first draw and a yellow pencil on the second draw. The probability of selecting a yellow pencil on the first draw is 4/9, and the probability of selecting a yellow pencil on the second draw is 3/8 (since there are now only 3 yellow pencils left in the bag). The probability of both events occurring is:

(4/9) x (3/8) = 1/6

Therefore, the probability of getting both counters chosen as yellow is 1/6.

iii) Probability of getting one green counter and one yellow counter are chosen:

The probability of getting one green counter and one yellow counter can be found by adding the probabilities of two possible outcomes:

1. The first pencil is green and the second pencil is yellow.

2. The first pencil is yellow and the second pencil is green.

The probability of the first outcome is (5/9) x (4/8) = 5/18, and the probability of the second outcome is (4/9) x (5/8) = 5/18.

Adding these probabilities, we get:

5/18 + 5/18 = 10/18 = 5/9

Therefore, the probability of getting one green counter and one yellow counter are chosen is 5/9.

Step-by-step explanation:

Answer:

26 - 11 = 15

Step-by-step explanation:

The distance between two points is the number of units between them

The possible value of x is -66

The given parameters are:

\(\mathbf{S = (-6,8)}\)

\(\mathbf{T = (x,-3)}\)

\(\mathbf{ST = 61}\)

Distance ST is calculated using:

\(\mathbf{d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}\)

So, we have:

\(\mathbf{d = \sqrt{(-6 - x)^2 + (8 - -3)^2}}\)

\(\mathbf{d = \sqrt{(-6 - x)^2 + (8 +3)^2}}\)

\(\mathbf{d = \sqrt{(-6 - x)^2 + 11^2}}\)

Substitute 61 for d

\(\mathbf{ \sqrt{(-6 - x)^2 + 11^2} = 61}\)

Square both sides

\(\mathbf{ (-6 - x)^2 + 11^2 = 61^2}\)

\(\mathbf{ (-6 - x)^2 + 121 = 3721}\)

Subtract 121 from both sides

\(\mathbf{ (-6 - x)^2 = 3721 - 121}\)

\(\mathbf{ (-6 - x)^2 = 3600}\)

Take square roots of both sides

\(\mathbf{ -6 - x = 60}\)

Add 6 to both sides

\(\mathbf{ - x = 60 + 6}\)

\(\mathbf{ - x = 66}\)

Multiply both sides by -1

\(\mathbf{ x = -66}\)

Hence, the possible value of x is -66

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To create various plots of the symbolic function Z, given by Z = sin(/X+Y) X? +Y?, we can use different plotting functions in MATLAB. The three-dimensional plot can be generated using the "plot3" function, the fsurf plotting function can be used to create a three-dimensional surface plot, and the fcontour function can be used to create a contour map of Z.

To create a three-dimensional plot of Z, we can use the "plot3" function in MATLAB, which allows us to plot in three dimensions. This plot will show the relationship between the variables X, Y, and Z.

For a three-dimensional surface plot, the "fsurf" function can be employed. This function will generate a surface plot that illustrates the behavior of Z in a more detailed manner.

To create a contour map of Z, the "fcontour" function can be utilized. This function will produce a two-dimensional plot with contour lines representing the values of Z.

By employing the "subplot" function in MATLAB, we can combine all the plots into a single figure, allowing for easy visualization and comparison.

The symbolic function Z can be visualized using the "plot3" function for a three-dimensional plot, the "fsurf" function for a three-dimensional surface plot, and the "fcontour" function for a contour map. By utilizing subplots, all the plots can be combined into a single figure.

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Answer:

circle = 1/3

pls mark brainliest

The boundaries of the class 1.87-3.43 are D) 1.865-3.435. The lower boundary is 1.865 and the upper boundary is 3.435.

The boundaries of the class 1.87-3.43 can be determined by subtracting and adding half of the smallest possible unit of measurement to the given class limits. In this case, since the given class limits are 1.87 and 3.43, we need to find the boundaries by subtracting and adding half of the smallest possible unit of measurement.

Let's assume the smallest possible unit of measurement is 0.01.

To find the lower boundary:

Lower Boundary = Lower Limit - (0.01/2)

Lower Boundary = 1.87 - 0.005

Lower Boundary = 1.865

To find the upper boundary:

Upper Boundary = Upper Limit + (0.01/2)

Upper Boundary = 3.43 + 0.005

Upper Boundary = 3.435

Therefore, the boundaries of the class 1.87-3.43 are:

D) 1.865-3.435

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The equation used to determine the number of days, x, required for the substance to decay to 63 grams is: x ≈ 83.60

To determine the number of days, x, required for a radioactive substance to decay to 63 grams, we can use the exponential decay formula. The equation that represents the decay of a radioactive substance over time is:

N(t) = N₀ * (1/2)^(t/h)

Where:

N(t) is the remaining mass of the substance at time t

N₀ is the initial mass of the substance

t is the time elapsed

h is the half-life of the substance

In this case, we have an initial mass of 475 grams, and we want to find the number of days required for the substance to decay to 63 grams. We can set up the equation as follows:

63 = 475 * (1/2)^(x/20)

To solve for x, we can isolate the exponential term on one side of the equation:

(1/2)^(x/20) = 63/475

Next, we can take the logarithm (base 1/2) of both sides to eliminate the exponential term:

log(base 1/2) [(1/2)^(x/20)] = log(base 1/2) (63/475)

By applying the logarithmic property log(base b) (b^x) = x, the equation simplifies to:

x/20 = log(base 1/2) (63/475)

Finally, we can solve for x by multiplying both sides of the equation by 20:

x = 20 * log(base 1/2) (63/475)

Using a calculator to evaluate log(base 1/2) (63/475) ≈ 4.1802, we find:

x ≈ 20 * 4.1802

x ≈ 83.60

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The function that could represent the given graph is option (b), f(x) = x3(x – a)3(x – b)(x – c)2.

What is a graph?

In computer science and mathematics, a graph is a collection of vertices (also known as nodes or points) connected by edges (also known as links or lines). Graphs are often used to represent relationships between objects or to model complex systems.

The given graph has three x-intercepts at a, b, and c, and each intercept has a different multiplicity. Therefore, the function should have factors of the form (x-a), (x-b), and (x-c) raised to different powers.

Looking at the graph, we can see that it touches the x-axis at a but doesn't cross it, so a has a multiplicity of at least 2. Similarly, b and c have multiplicities of at least 1 and 3, respectively.

Option (a) has powers of 2, 4, and 1, which doesn't match the required multiplicities.

Option (b) has powers of 3, 3, 1, and 2, which matches the required multiplicities.

Option (c) has powers of 1, 3, 3, and 3, which doesn't match the required multiplicities.

Option (d) has powers of 2, 1, 6, and 0, which doesn't match the required multiplicities.

Therefore, the function that could represent the given graph is option (b), f(x) = x3(x – a)3(x – b)(x – c)2.

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Answer:

B on edge 23

Step-by-step explanation:

the guy above said so

The value of the total distance between the two stations is 2520m

The train runs with the following acceleration:

v = u + at

12 = 0 + a(120)

a = 0.1 m/s2.

Distance covered by the train in first part:

S = 1/2at^2

S = 1/2×0.1×(120)^2

S = 720m

Distance covered in second part:

S = ut

S = 12×60 = 720m

Train deceleration is given by

v = u+ at

0 = 12+a (180)

a = -1/15

Distance covered by the train in last part:

S = ut- 1/2at^2

S = 12(180) - 1/2(1/15)(180)^2

S = 2160 - 1080

S = 1080m

Therefore,  The value of the total distance between the two stations is 720+720+1080 = 2520m.

The complete question is :A tram leaves a station and accelerates for 2 minutes until it reaches a speed of 12 meters per second. It continues at this speed for 1 minute. It then decelerates for 3 minutes until it stops at the next station .Calculate the distance, in meters, between the two stations.​

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Given that the formula is given as z(m/s²) = a x(m³) + b cos (y) Wherea, b, and y are the unknown terms.To determine the units of a, b, and y, we need to check the units of each term present in the equation. The unit of displacement or distance is meters (m).The unit of acceleration is meters per second squared (m/s²).Unit of cos(y) is not there, but we know that cos(y) is a unitless term.Therefore, the given equation can be written askg x m/s² = kg/m x m³ + b x 1There we can see that the unit of the term on the left side of the equation is kg x m/s² which is equal to Newton (N).Therefore, the unit of the term on the right side of the equation is also in Newton (N).Hence,The unit of "a" is N/m³The unit of "b" is NThe unit of "y" is unitless.

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Answers:

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

Explanation:

If x repeats itself, then we don't have a function. For instance, relation 2 has the x value -4 show up twice. That input leads to multiple outputs which is why we don't have a function. Relation 4 is a similar story (this time the input 'u' shows up twice).

Relations 1 and 3 don't have this issue, so they are functions.

Total work done = Work done in interval (i) + Work done in interval (ii) + Work done in interval (iii). Total work done = qE * Δx(i) + qE * Δx(ii) + qE * Δx(iii)

To determine the work done on a positive point charge, we need to know the electric field and the displacement of the charge. Since you haven't provided the electric field, we'll assume it's a constant field of magnitude E.

(i) To find the work done on the charge between x=0 and

x=2nm, we need to calculate the force experienced by the charge and multiply it by the displacement. The force experienced by a positive charge in an electric field is given by F = qE, where q is the charge. The displacement is given by Δx = 2nm - 0.

The work done is given by W = F * Δx

= qE * Δx.

(ii) Similarly, for the second interval between x=2nm and

x=4.5nm, we calculate the force experienced by the charge using

F = qE, where q is the charge, and the displacement is

Δx = 4.5nm - 2nm.

The work done is given by W = F * Δx

= qE * Δx.

(iii) For the third interval between x=4.5nm and

x=6.5nm,

we use F = qE to calculate the force experienced by the charge and

Δx = 6.5nm - 4.5nm for the displacement.

The work done is given by W = F * Δx

= qE * Δx.

(iv) To find the total work done between x=0

and x=6.5nm, we sum up the work done in each interval:

Total work done = Work done in interval (i) + Work done in interval (ii) + Work done in interval (iii)

Total work done = qE * Δx(i) + qE * Δx(ii) + qE * Δx(iii)

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Total work done = Work done in interval (i) + Work done in interval (ii) + Work done in interval (iii). This calculation assumes a constant electric field of magnitude E and that the charge remains positive throughout the intervals. Hence, Total work done = qE * Δx(i) + qE * Δx(ii) + qE * Δx(iii).

To determine the total work done on a positive point charge between x-0 and x-6.5nm, we need to calculate the work done in each interval and then sum them up.

(i) For the interval between x-0 and x-2nm, the work done is given by:

Work done in interval (i) = qE * Δx(i),

where q is the charge, E is the magnitude of the constant electric field, and Δx(i) = 2nm - 0.

(ii) For the interval between x-2nm and x-4.5nm, the work done is given by:

Work done in interval (ii) = qE * Δx(ii),

where Δx(ii) = 4.5nm - 2nm.

(iii) For the interval between x-4.5nm and x-6.5nm, the work done is given by:

Work done in interval (iii) = qE * Δx(iii),

where Δx(iii) = 6.5nm - 4.5nm.

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The exponential function models the value v of the car after t years is V = 27000 * (0.93)^t

The given parameters are:

Initial value, a = $27,000

Depreciation rate, r = 7%

The value of the car is then calculated as:

V = a * (1 -r)^t

Substitute known values

V = 27000 * (1 - 7%)^t

Evaluate the difference

V = 27000 * (0.93)^t

Hence, the exponential function models the value v of the car after t years is V = 27000 * (0.93)^t

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Answer: 6.5<6.55

Step-by-step explanation: Because you add the zero to the 6.50 but it’s still less than 6.55.

Answer:

−6.5<6.55

Step-by-step explanation:

I took the K12 test

The conditional expectation E[Y|X=2] is 11, and the variance of Y, var(Y), is 24, given the linear relationship Y = 15 - 2X and a variance of 6 for X.

The conditional expectation E[Y|X=2] represents the expected value of Y when X takes on the value 2.

Given the linear relationship Y = 15 - 2X, we can substitute X = 2 into the equation to find Y:

Y = 15 - 2(2) = 15 - 4 = 11

Therefore, the conditional expectation E[ Y|X=2] is equal to 11.

To calculate the variance of Y, var(Y), we can use the property that if X and Y are linearly related, then var(Y) = b^2 * var(X), where b is the coefficient of X in the linear relationship.

In this case, b = -2, and the variance of X is given as 6.

var(Y) = (-2)^2 * 6 = 4 * 6 = 24

Therefore, the variance of Y, var(Y), is equal to 24.

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Answer:

volume = 0.30 m³

Step-by-step explanation:

GIVEN:

The area of the star shaped surface of this block is 1.2m^2.

The thickness of the block is 25cm.

FIND:

What is the volume of the block?

SOLUTION:

volume = area x length

where area = 1.2 m²;   length = 0.25 m

plugin values into the formula:

volume = 1.2 m² x 0.25 m

             = 0.30 m³

therefore, the volume of the star shaped block is 0.30 m³

Answer:

2

Step-by-step explanation:

2x^2 -3xy^3

Let x=-2 and y =-1

2 ( -2)^2 -3 (-2) (-1)^3

Using PEMDAS, we do exponents first

2 ( 4) - 3(-2) (-1)

Multiply nexy

8 - 6

2

In this question, we are required to find

\(2 {x}^{2} - 3x {y}^{3} \)

When, x = -2 and y = -1

We just need to plug the values of x and y in the given polynomial to get our required answer.

Given, Polynomial in variable x and y,

\(2 {x}^{2} - 3x {y}^{3} \)

Plugging values of x and y,

\(2 {( - 2)}^{2} - 3( - 2)( - 1) {}^{3} \)

According to PEMDAS, we need to do the exponents first, So let's simplify the exponents,

\(2(4) - 3( - 2)( - 1)\)

Opening the parantheses and finding the answer,

\(2 \times 4 - 3 \times - 2 \times - 1\)

\(8 -6\)

\( \boxed{ \red{2}}\)

This is our required answer !!

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a) The zero of the function is 15. and 15; the greatest number of sweatshirt that the class can buy (option c)

The given function, y = -1.5x + 22.5, where y represents the possible number of T-shirts and x represents the possible number of sweatshirts, is a linear equation in two variables. It is in slope-intercept form, y = mx + b, where m is the slope of the line, and b is the y-intercept. In this case, the slope of the line is -1.5, which means that for every unit increase in the number of sweatshirts, the number of T-shirts decreases by 1.5 units. The y-intercept of the line is 22.5, which means that if the class doesn't order any sweatshirts, they can order up to 22.5 T-shirts.

In other words, it is the value of x that corresponds to the point where the line intersects the x-axis. To find the zero of the function, we set y = 0 and solve for x:

0 = -1.5x + 22.5

1.5x = 22.5

x = 15

Therefore, the correct answer is (C) 15, the greatest number of sweatshirts that the class can buy.

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Answer:

A

Step-by-step explanation:

because there's no charge for miles

Since both y₁ and y₂ are solutions to the given differential equation and the Wronskian of the solutions, W(y₁, y₂) is nonzero, it means that they form a fundamental set of solutions, and this is the answer to this problem.

Given the differential equation as follows:

x²y'' - x(x + 2)y' + (x + 2)y

= 0

and the solutions:

y₁(x) = xy₂(x)

= xe¹

When we substitute these solutions into the differential equation, we get,

For y₁(x) = xy' + yy₁'(x)

= y₂'(x)

= e¹ + xe¹y₁''(x)

= y₂''(x) = 0

Now substitute these values into the differential equation:

x²y'' - x(x + 2)y' + (x + 2)y = x²(0) - x(x + 2)(e¹ + xe¹) + (x + 2)(xe¹)≡ 0

Similarly, for y₂(x) = xe¹

We get, y₂'(x) = e¹ + xe¹y₂''

(x) = 2e¹ + xe¹

Now substitute these values into the differential equation,

x²y'' - x(x + 2)y' + (x + 2)y = x²(2e¹ + xe¹) - x(x + 2)(e¹ + xe¹) + (x + 2)(xe¹)≡ 0

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Answer:

70 ounces

Step-by-step explanation:

We can solve the weight of 35 candy bars by first finding the weight of one and multiplying by 35.

If 13 candy bars each weigh 26 ounces, one will weigh 2. We can write this out as shown:

13x = 26

x = 2

Now we simply multiply by 35 to get the total weight of 35 candy bars:

35x = 35(2) = 70

Answer:

A. shawn added 4 to both sides of the equation instead of subracting 4

Answer:

We know that P(AB) = P(A) + P(B) - P(A∪B), where P(A∪B) represents the probability that at least one of the events A or B will occur.

To calculate P(A∪B), we can use the formula P(A∪B) = P(A) + P(B) - P(AB), which follows from the addition rule of probability.

Substituting with the given values, we have:

P(A∪B) = P(A) + P(B) - P(AB)

P(A∪B) = 3/4 + 1/2 - 7/8

P(A∪B) = 6/8 + 4/8 - 7/8

P(A∪B) = 3/8

Now, we can calculate P(AB) using the first formula:

P(AB) = P(A) + P(B) - P(A∪B)

P(AB) = 3/4 + 1/2 - 3/8

P(AB) = 6/8 + 4/8 - 3/8

P(AB) = 7/8

Therefore, the correct answer is option b) 7/8.

Step-by-step explanation:

Answer:

what do you mean

Step-by-step explanation:

Answer:

(2,0)

Step-by-step explanation:

You know that y for your x-intercept has to be 0 so just plug in 0 for y and solve from there

The earnings after taxes, inflation, and administrative costs are B) the real return.

The real return represents the actual gain or profit earned on an investment after considering taxes, inflation, and administrative costs. To calculate the real return, we start with the nominal return, which is the return before considering these factors.

We subtract the taxes paid on the earnings, adjust for inflation to account for the decrease in purchasing power over time, and deduct any administrative costs incurred. The result is the real return, which reflects the true increase in the value of the investment. Mathematically, we can express the calculation as follows:

Real Return = Nominal Return - Taxes - Inflation - Administrative Costs

It is important to consider these factors to accurately assess the true profitability of an investment, as taxes, inflation, and administrative costs can significantly impact the overall earnings. So B is correct option.

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Answer:

the answer would be A

Step-by-step explanation:

Answer:

answer is a

Step-by-step explanation:

I just answer it on edge