1:750 scale model of the Sydney Opera House after a trip to Australia. The length of the model is 24.4 centimetrers. Find the actual length x (in meters) of the Sydney Opera House.

The y-intercept is determined as the point where the graph crosses the y-axis. At this point x equals 0, and y takes on any other value.

The graph provided shows this point as (0, 2).

That is, when x = 0, y = 2

The answer therefore is the third option (0, 2)

a) Causal, memoryless, linear, time-invariant.

b) Causal, memoryless, linear, time-invariant.

c) Causal, memoryless, nonlinear, time-invariant.

d) Causal, has memory, nonlinear, time-invariant.

a) The system described by y[n] = x[n] + 2x[n+1] is causal because the output value at any time index n only depends on the current and past input values. It is memoryless since the output at a given time index n does not depend on any past or future inputs. The system is linear because the output is a linear combination of the input values. It is also time-invariant because the system's behavior remains unchanged over time.

b) The system y[n] = u[n]x[n] is causal since the output at any time index n only depends on the current and past input values. It is memoryless because the output at a given time index n does not depend on any past or future inputs. The system is linear because the output is a product of the input signal and a constant. It is also time-invariant because the system's behavior remains unchanged over time.

c) The system y[n] = |x[n]| is causal since the output at any time index n only depends on the current and past input values. It is memoryless because the output at a given time index n does not depend on any past or future inputs. The system is nonlinear because the absolute value operation is a nonlinear operation. It is time-invariant because the system's behavior remains unchanged over time.

d) The system y[n] = ∑(0.5)^n x[i] for i=0 to n is causal since the output at any time index n only depends on the current and past input values. It has memory because the output at a given time index n depends on all past input values up to the current time index. The system is nonlinear because the output is a sum of terms raised to a power, which is a nonlinear operation. It is time-invariant because the system's behavior remains unchanged over time.

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Answer:

The side with 64 units cannot be the height of the parallelogram and the side with 8 units can be the side of the parallelogram.

Step-by-step explanation:

Area of parallelogram= 40 sq units

One side of the parallelogram= 64 units

∴ the dimension with 64 units cannot be the height of the parallelogram because the side is more than area. When multiplying with the other side, the area will be more than 40.

Other side of the parallelogram= 8

∴ the dimension with 8 units is possible and it can be the height of the parallelogram because the side is less than area. When multiplying with the other side, the area will be 40.

96 minimum sample size required to have 95% confidence that the variance of the sample is within 20% of the variance of the population.

Given that,

We have to determine the minimal sample size required to have 95% confidence that the variance of the sample is within 20% of the variance of the population.

We know that,

Confidence Interval is CI=95%

Variance is σ²=20%

We have

n=(Z/M.E)²

n=(1.96/0.20)²

n=(9.8)²

n=96.04

Therefore, 96 minimum sample size required to have 95% confidence that the variance of the sample is within 20% of the variance of the population.

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In order to estimate the population proportion within 5%, a sample size of at least 384 is needed.

The number of individuals or observations included in a study is referred to as the sample size. Two statistical properties are influenced by the sample size: 1) The accuracy of our estimates, and 2) The ability to draw conclusions from the study.

This can be calculated using the formula:

n = (z^2 * p * (1-p)) / (e^2)

where z is the z-score corresponding to a 95% confidence level, p is the estimated proportion of people in favor of legalizing marijuana, and e is the margin of error (5%).

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Answer:

y=x-6

Step-by-step explanation:

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

Explanation:

We're given that f(x) = x^2

The function g(x) is vertically stretched to be five times taller. We see this with the point (1,5) on the purple graph since its counterpart is at (1,1) on the blue graph.

We look at how the y values changed. So we had gone from y = 1 to y = 5. This jump means "multiply by 5"

If we do this to all the y values on the blue graph, then all the points jump to a height 5 times taller. Something like (2,4) moves to (2,20). Something like (3,9) goes to (3,45). And so on. This is what produces the purple g(x) graph.

You could say that

g(x) = 5*f(x)

g(x) = 5x^2

This works because y = f(x), so when we say 5*f(x), we really mean 5*y.

Answer:

que

Step-by-step explanation:

no Tengo carnitas yo quero sopes

The value of x when y=0 from the given absolute value equation is x=-1.

The graph for the absolute equation y=|x+2|-1 is given.

Rewrite in vertex form and use this form to find the vertex (h,k).

(-2, -1)

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

x-intercept(s): (-1,0),(-3,0)

y-intercept(s): (0, 1)

Here, y>0

So, 1=|x+2|-1

2=x+2

x=0

When y<0

So, -1=|x+2|-1

x+2=0

x=-1

When y=0

0=|x+2|-1

1=x+2

x=-1

Therefore, the value of x when y=0 from the given absolute value equation is x=-1.

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Answer:

570

Step-by-step explanation:

yan sagot ko ehh balakajan

The 99% confidence limit will be option B which is (45, 55)

90% confidence limits for the population mean are (46,54)

mean = 46+54 / 2 = 50.

the margin of error E = 54-46/2 = 4

For 90% Confidence Z- Critical value is = 1.645

But the margin of error

E = ZS/√n

4=(1.645)S/√n

S/√n = 4 / 1.645

= 2.4316

For 95% confidence Z-critical value is 1.96

A 95% confidence interval is = mean ± E

(50 ± 1.96) S/√n = (50 ± 1.96)×2.4316

= 50+ 4.7660

= 45.2340, 54.7660

= (45, 55)

Hence the correct option is B which is (45, 55) as the 99% confidence limit.

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Answer:

5/8 is smaller.

Step-by-step explanation:

A ratio is just a different type of fraction, a 5:8 ratio means 5/8 which is 0.625. A 7:9 ratio equals 7/9 which is 0.777777

Then to compare them you see which is smaller or bigger.

0.77777  is bigger than 0.625 so we know that 0.77777777 which was the 7:9 ratio is the bigger one.

Steps:-

\(\\ \rm\rightarrowtail 5:8::7;9\)

\(\\ \rm\rightarrowtail 5/8:7/9\)

\(\\ \rm\rightarrowtail \dfrac{5(9)}{8(9)}:\dfrac{7(8)}{9(8)}\)

\(\\ \rm\rightarrowtail \dfrac{45}{72}:\dfrac{56}{72}\)

\(\\ \rm\rightarrowtail \dfrac{45}{56}\)

Answer: It’s C on edge. Have a nice day :)

Step-by-step explanation:

a. From fastest to slowest, the speeds of the balls at the right ends of the tracks will depend on the curvature of the tracks.

If the tracks are of equal length but have different curvatures, the ball on the track with the least curvature will have the highest speed, followed by the ball on the track with the next least curvature, followed by the ball on the track with the most curvature.

b. From longest to shortest, the tracks in terms of the times for the balls to reach the ends will depend on the curvature of the tracks. If the tracks are of equal length but have different curvatures, the track with the most curvature will have the longest time for the ball to reach the end, followed by the track with the next most curvature, followed by the track with the least curvature.

c. From greatest to least, the tracks in terms of the average speeds of the balls will depend on the curvature of the tracks. If the tracks are of equal length but have different curvatures, the track with the least curvature will have the highest average speed, followed by the track with the next least curvature, followed by the track with the most curvature.

All the balls will have the same average speed on all three tracks if the track lengths are equal, but will have different speeds at the end of each track due to the different curvatures.

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Answer: 40 kilometers

Step-by-step explanation: Since the word ratio is cm/km (centimeter/kilometer), and the number ratio is 2/5, you will have to create another set and put the 16 cm next to the 2 cm. So it would be 2/5=16/X. Now you have to find the value of x. First, you have to multiply 5 by 16, which is equal to 80. Now you divide it by 2 and you will get 40 kilometers as your final answer.

Answer:

Step-by-step explanation:

3 feet above the shark

The domain and the range of a function is the set of input and output values of the function.

The domain is the set of all whole numbers.

The range is the set of all whole numbers.

Let the number of tickets be x, and the revenue be y.

So, the revenue function will be:

y = 125

The number of tickets cannot be less than 0.

So, the domain of the revenue function is

domain=0,∞

The above means that, the domain is the set of all whole numbers

Similarly, the revenue cannot be less than 0.

So, the range of the revenue function is

range = 0,∞

The above means that, the range is also the set of all whole numbers (in multiples of 125).

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Step-by-step explanation:

f(x) = 1

f(-2) = 1

Constan function f(n) = k, n and k elemen real

Answer:

84 feet

Step-by-step explanation:

 he will need 84 ft to cover the entire garden

Answer:

38 ft of fencing

Step-by-step explanation:

The perimeter of a rectangle is 2L + 2W, where L and W are the length and width, respectively. The dimensions of the garden are given, 7 x 12 ft.

The amount of fencing needed is 2(7) + 2(12) = 14 + 24 = 38 ft of fencing

Answer:

105

Step-by-step explanation:

2x17=34

17x2.5=42.5

1.5x17=25.5

1/2x2x2x1.5=3

34+42.5+25.5+3=105

Answer Po Ba Ay 11.33?

Step-by-step explanation:

Calc

Answer:

Hope it will help you a lot.

Answer: $41

work out what one ticket is:

$57.40/7=$8.20

and then multiply by 5

$8.20*5=41

Answer:

$41

Step-by-step explanation:

Answer:

\(x=30\)

Step-by-step explanation:

First, let us notice that the ticks on the side of this quadrilateral indicate that the lengths of the sides are equal.

From this, we can create the following equation based on the perimeter of this shape.

\(28+28+x+x=116\)

Now, we can solve this equation for x by first combining like terms

\(2x+56=116\)

Now, we can subtract 56 from each side

\(2x=60\)

And now divide each side by 2

\(x=30\)

Just to check out answer, we can plug this x-value into our original perimeter equation to see if it is correct

\(28+28+30+30=116\\\\56+60=116\\\\116=116\)

The claim that makes the most accurate statement regarding how many cookies the institution will require There will be 480 pupils who favour cookies at the college.

Decimals or fractions can also be used to represent percentages. Divide a percentage by 100 to turn it into a fraction.

If the sample of 225 students was truly random and not just selected from a certain group, we may calculate percentages depending on it.

As a result, "There will be roughly 640 pie-loving pupils at the college."

Thus, the claim that makes the most accurate forecast regarding how many cookies the institution will require There will be 480 pupils who favour cookies at the college.

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The value of Q₁ that satisfies probability P(Q₁) = 0.25 is Q₁ = 0.25.

Given that,

that P(Q₁) = 0.25.

To find Q₁, we have to find the value of x which satisfies this equation.

The definition of P(Q₁). P(Q₁) is the probability that the random variable Q takes on a value less than or equal to Q₁.

Now, we can use the fact that f(x) = 8x for 0 ≤ x ≤ 1/2.

We know that the integral of f(x) from 0 to 1/2 is 1,

which means that the total area under the curve is 1.

So, to find P(Q₁), we need to integrate f(x) from 0 to Q₁. We get,

⇒ P(Q₁) = \(\int\limits^{Q_1}_0 {8x} \, dx\)

⇒ P(Q₁) = 4Q₁²

Now we can set this equal to 0.25 and solve for Q₁,

⇒ 4Q₁² = 0.25

⇒   Q₁² = 0.0625

⇒     Q₁ = ±0.25

But we know that Q₁ has to be non-negative, since it represents a probability.

Therefore, Q₁ = 0.25.

So the value of Q₁ that satisfies P(Q₁) = 0.25 is Q₁ = 0.25.

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Answer to all the parts are as x , x , 1/8 , 4 the inverse function can be calculated as.

What is inverse function?

An inverse function or an anti function is outlined as a function, which may reverse into another perform. In straightforward words, if any perform “f” takes x to y then, the inverse of “f” can take y to x. If the perform is denoted by ‘f’ or ‘F’, then the function is denoted by f⁻¹or F⁻¹.

Main body:

To determine the inverse of function f(x) , we normally change the the function in terms of other variable in this case y .

So first we need to switch x and y. and then solve for y.

Initial equation :

f(x) = \(\sqrt[3]{8x} -4\)

y =\(\sqrt[3]{8x} -4\)

y + 4= \(\sqrt[3]{8x}\)

\((y+4)^{3}\) = 8x

(1/8)*\((y+4)^{3}\) = x

hence the value for the inverse function is as follows.

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Answer:I think you can say like the most bought music in class B is alternative and the lowest one is classical and so on

Step-by-step explanation:

Answer:

m∠BCA = 43°

Step-by-step explanation:

ABCD is a kite having m∠BAD = 46° and m∠ABC = 114°

∠BAD and ∠BCA are the vertex angles of the kite.

Since, diagonal of kite bisect the vertex angles

m∠BAC = m∠DAC = \(\frac{1}{2}(46^{\circ})\)

m∠BAC = 23°

By applying triangle sum theorem in ΔABC,

m∠ABC + m∠BCA + m∠BAC = 180°

114° + m∠BCA + 23° = 180°

m∠BCA = 180° - (114° + 23°)

             = 43°