Q1 Quadratic: Shot Put 40 Points Ryan is practicing his shot put throw. The path of the ball is given approximately by the function H(x) = -0.01x² + .66x + 5.5, where H is measured in feet above the

We have shown that if zo is a zero of a linear phase filter, then zo¹ = zo + Δz is also a zero. This holds true because the linear phase property ensures that the filter's phase response varies linearly with frequency, and hence, any frequency offset from zo will yield a corresponding zero in the transfer function.

For a linear phase filter, the phase response is linearly proportional to the frequency. Let's consider a linear phase filter with a zero at frequency zo. The transfer function of the filter can be expressed as H(z) = A(z - zo), where A is a constant and z represents the complex frequency variable.

To find the zero at zo¹, we need to analyze the filter's transfer function at a frequency offset from zo. Let's substitute z with (z - Δz) in the transfer function, where Δz represents a small frequency offset. The new transfer function becomes H(z - Δz) = A((z - Δz) - zo).

Now, let's evaluate the new transfer function at the frequency zo¹ = zo + Δz. Substituting zo¹ into the transfer function, we have H(zo¹ - Δz) = A((zo¹ - Δz) - zo).

Expanding the equation, we get H(zo¹ - Δz) = A(zo¹ - Δz - zo) = A(zo - zo + Δz - Δz) = A(0) = 0.

Therefore, we have shown that if zo is a zero of a linear phase filter, then zo¹ = zo + Δz is also a zero. This holds true because the linear phase property ensures that the filter's phase response varies linearly with frequency, and hence, any frequency offset from zo will yield a corresponding zero in the transfer function.

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Approximately 34% of American adults have a mobile phone but not a landline, based on the given proportions from the study conducted by the Centers for Disease Control.

The proportion of American adults who have a mobile phone but not a landline, we need to subtract the proportion of those who have both a mobile phone and a landline from the proportion of those who have a mobile phone.

Let's denote the proportion of American adults who have a mobile phone as P(M), the proportion who have a landline as P(L), and the proportion who have neither as P(N).

Given information:

P(M) = 89% (proportion with a mobile phone)

P(L) = 57% (proportion with a landline)

P(N) = 2% (proportion with neither)

We can now calculate the proportion of adults who have a mobile phone but not a landline using the following equation:

P(M and not L) = P(M) - P(M and L)

To find P(M and L), we can subtract P(N) from P(L) since those who have neither are not included in the group with a landline:

P(M and L) = P(L) - P(N)

P(M and L) = 57% - 2%

P(M and L) = 55%

Now we can substitute the values back into the equation to find P(M and not L):

P(M and not L) = P(M) - P(M and L)

P(M and not L) = 89% - 55%

P(M and not L) = 34%

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Answer:

okay i will gladly

Answer:

The answer is -3g=(-6)

The length of the garden is 4.3 m while the width is 4.3 m

Let x represent the length of the garden. Therefore:

The area of the garden = x × x = x²

The width of the walkaway is 1.8 m, hence the length of the garden and walkaway = x + 1.8. The width of the garden and walkaway = x + 1.8.

Hence the area of the garden and walkaway = (x + 1.8) × (x + 1.8) = x² + 3.6x + 3.24

The area of walkaway = (x² + 3.6x + 3.24) - x² = 3.6x + 3.24

Since the area of the walkway is equal to the area of the garden, hence:

3.6x + 3.24 = x²

x² -3.6x - 3.24 = 0

x= 4.34 m or -0.74 m

Since the length cannot be negative, hence x = 4.3  m

Therefore the garden is 4.3 m by 4.3 m

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Answer:  The answer is J. because there are 180 pages in her book

Step-by-step explanation:

Answer:

The answer is "Not here" because there are 180 pages in Donna's book.

The convolution integral y(t) = x(t) * h(t) for the given pair of signals x(t) and h(t) can be computed as follows:

y(t) = ∫[x(τ) * h(t - τ)] dτ

1) x(t) = δ(t) and h(t) = δ(t - 2) * (t - 1)

The convolution integral becomes:

y(t) = ∫[δ(τ) * δ(t - τ - 2) * (τ - 1)] dτ

To evaluate this integral, we consider the properties of the Dirac delta function. When the argument of the Dirac delta function is not zero, the integral evaluates to zero. Therefore, the integral simplifies to:

y(t) = δ(t - 2) * (t - 1)

The convolution result y(t) is equal to the shifted impulse response h(t - 2) scaled by the factor of (t - 1). This means that the output y(t) will be a shifted and scaled version of the impulse response h(t) at t = 2, delayed by 1 unit.

In summary, for x(t) = δ(t) and h(t) = δ(t - 2) * (t - 1), the convolution integral y(t) = x(t) * h(t) simplifies to y(t) = δ(t - 2) * (t - 1).

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Answer:

45

Step-by-step explanation:

The required, as x continues to grow, the value of function f(x) will be greater than the values of g(x).

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
For the best comparison between the function we need to evaluate the slope of each function,
So,
slope of function f(x) = 40 - 10  / 2 - 1
slope of function f(x) = 30 / 1

Now,
slope of function g(x) = 12 - 6  / 2 - 1
slope of function g(x) = 6 / 1

So, the slope of function f(x) is greater than the slope of function g(x).

Thus, the required, as x continues to grow, the value of function f(x) will be greater than the values of g(x).

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The width of the rectangle is approximately 9.66 meters.

The formula for the area of a rectangle is:

Area = length * width

Let's assume the width of the rectangle as x meters.

According to the problem, the length of the rectangle is 4 meters longer than its width.

So,

the length of the rectangle would be (x+4) meters.

Substituting the given values, we get:

117 = (x+4) * x

\(117 = x^2 + 4x\)

Rearranging the terms, we get a quadratic equation in standard form:

\(x^2 + 4x - 117 = 0\)

To solve for x, we can use the quadratic formula:

x = [-b ± (\(\sqrt{ b^2 - 4ac\))] / 2a

Where a = 1, b = 4, and c = -117.

Substituting the values, we get:

x = [-4 ± \(\sqrt{4^2 - 4(1)(-117)\))] / 2(1)

x = [-4 ± √472)] / 2

x = (-4 ± 2√118)) / 2

x = -2 ± √118

The width of the rectangle cannot be negative. Therefore, we take the positive root:

x = -2 + √118

x ≈ 9.66 meters (rounded to two decimal places)

Therefore, the width of the rectangle is approximately 9.66 meters.

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Answer:

2/5y and -0.2y

Step-by-step explanation:

both have y as their variable

Answer: 8.4

Step-by-step explanation: 5.25 divided by 5 is 1.05. So 1.05 x 8 is 8.4

Answer:

The one at the top because the expression would be 6.23x10x10x10x10x10x10x10x10x10x10x10x10= 6,230,000,000,000

Step-by-step explanation:

Answer:

I believe it is the first one because it equals 6230000000000

Step-by-step explanation:

The p-value of the test claim is calculated as; p < 0.00001.

The z-score between two samples is expressed as;

z =  (x₁ – x₂)/√(σ₁²/n₁) + (σ₂²/n₂)

The parameters given are;

Sample mean 1: x₁ = 23.38

Sample mean 2: x₂ = 18.69

Sample standard deviation 1: σ₁ = ?

Sample standard deviation 2: σ₂ = ?

Sample size 1: n₁ = 40

Sample size 2: n₂ = 35

standard error = sample standard deviation /√(sample size)

σ₁ = 23.38/√40

σ₁ = 3.697

σ₂ = 18.69/√35

σ₂ =  3.159

Thus;

z = (23.38 – 18.69)/√(3.697²/40) + (3.159²/35)

z = (23.38 – 18.69)/0.792

z = 5.92

From online p-value from z-score calculator, p < 0.00001.

Thus, the p-value is less than the significance value and the results are significant and alternate hypothesis is accepted.

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Answer:

16.22%

Explanation:

The percent of increase can be calculated as:

Where vf is the final value and vi is the initial value. So, replacing vf by 10.75 and vi by 9.25, we get:

Therefore, the percent of the increase is 16.22%

In problem 1, the alien ship's landing in Flushing Meadows leads to a statistical analysis of the number of body appendages of the aliens. The presence of bias in the statistics and the possibility of the aliens causing sleeping sickness in sub-Saharan Africa.

Problem 1: The data provided represents the number of body appendages (limbs) of the aliens. To determine if there is a bias present in the statistics, we can examine the distribution of the data. The given data points are 2, 2, 3, 3, 6, 8, 9, 11, 12, and 8. Since the majority of the data points fall within the range of 2 to 12, it appears that the limb counts are not evenly distributed and may indicate a bias. However, without more information about the alien species or a larger sample size, it is difficult to draw definitive conclusions.

To find the mean and standard deviation of the sample, we can use the following formulas:

Mean (µ) = Sum of all data points / Number of data points

Standard Deviation (σ) = Square root of \([Sum of (data point - mean)^2 / Number of data points]\)

Calculating the mean: (2+2+3+3+6+8+9+11+12+8) / 10 = 64 / 10 = 6.4

Calculating the standard deviation: \(\sqrt{(2-6.4)^2+(2-6.4)^2+(3-6.4)^2+(3-6.4)^2+(6-6.4)^2+(8-6.4)^2+(9-6.4)^2}+(11-6.4)^2+(12-6.4)^2+(8-6.4)^2) / 10\) = \(\\\sqrt{[48.64 / 10] } =\sqrt{4.864}\) =  2.2

Problem 2: The population of interest in this scenario is the people suffering from sleeping sickness caused by Trypanosoma brucei. The study aims to test the effectiveness of the new vaccine in preventing cases of sleeping sickness. The two groups involved are the control group (500 men) and the experimental group (500 women), totaling 1000 volunteers. By exposing the volunteers to the TseTse fly, which carries Trypanosoma brucei, the researchers can observe the number of cases that occur in each group.

The unethical nature of the research, as mentioned in the problem, is concerning and goes against ethical guidelines for conducting research on human subjects. It is crucial to prioritize the well-being and safety of participants and adhere to ethical standards when conducting any research study involving human subjects.

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Answer:

x=37

Step-by-step explanation:

Area of triangle = x+x+x=180
= 78+65+x=180
=143+x=180
=x=180-143 (bring 143 to the otherside)
x=37

In the given figure, We are to find the respective value of x .

Solution :

We know that,

Sum of all the angles of the triangle = 180°

So,

\( \qquad \sf \dashrightarrow{ x {}^{ \circ} + 65 ^{ \circ} +78 ^{ \circ} = 180}\)

\( \qquad \sf \dashrightarrow{ x ^{ \circ} + 143^{ \circ} = 180^{ \circ}}\)

\( \qquad \sf \dashrightarrow{ x ^{ \circ} = 180^{ \circ}} - 143^{ \circ}\)

\( \qquad \bf \dashrightarrow{ x ^{ \circ} = 37^{ \circ}}\)

Therefore, The value of x is 37°

Bucket number 2 will contain 45 after sorting the data.

According to the statement, we are given that a data list is sorted using bucket sort with 4 buckets and we have to find which bucket will contain the number 45.

So, the given data list is:

76, 56, 93, 24, 45, 88, 13, 7, 37

The list of data is sorted into buckets and the data contains numbers from 0 to 100.

We know that the 100 numbers are being sorted with 4 buckets which means each bucket contains 25 numbers.

So, let us consider

BUCKET 1: 0 to 25

It contains data numbers 7, 13, and 24.

Now,

BUCKET 2: 25 to 50

It contains data numbers 37 and 45.

Now,

BUCKET 3: 50 to 75

It contains data number 56.

Now,

BUCKET 4: 75 to 100

It contains data numbers 76, 88, and 93.

From sorting, the 45 number sort in bucket 2.

So, bucket number 2 will contain 45 after the list is sorted.

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Answer: $28

Step-by-step explanation:

Answer:

I'm not 100% sure about this question but the formula to get that is

(x-1) x 2 =y

The probability that less than 2 of the 5 are 65 years or older is 70.32%

To calculate the probability that less than 2 out of 5 randomly selected persons from the population of Arizona are 65 years or older, we need to calculate the probabilities of selecting 0 and 1 persons who are 65 years or older and then sum them.

The probability of selecting 0 persons who are 65 years or older can be calculated using the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Where:

P(X = k) is the probability of selecting k persons who are 65 years or older,

C(n, k) is the number of combinations of selecting k items from a set of n items,

p is the probability of selecting a person who is 65 years or older,

(1 - p) is the probability of selecting a person who is not 65 years or older,

n is the total number of trials (sample size).

Using this formula, we can calculate the probability of selecting 0 persons who are 65 years or older:

P(X = 0) = C(5, 0) * 0.14^0 * (1 - 0.14)^(5 - 0)

Similarly, we can calculate the probability of selecting 1 person who is 65 years or older:

P(X = 1) = C(5, 1) * 0.14^1 * (1 - 0.14)^(5 - 1)

Finally, we can sum these probabilities to get the probability of less than 2 persons who are 65 years or older:

P(X < 2) = P(X = 0) + P(X = 1)

Calculating these probabilities:

P(X = 0) = C(5, 0) * 0.14^0 * (1 - 0.14)^(5 - 0) = 1 * 1 * 0.86^5 = 0.2968 (approximately)

P(X = 1) = C(5, 1) * 0.14^1 * (1 - 0.14)^(5 - 1) = 5 * 0.14 * 0.86^4 = 0.4064 (approximately)

P(X < 2) = P(X = 0) + P(X = 1) = 0.2968 + 0.4064 = 0.7032 (approximately)

Therefore, the probability that less than 2 out of 5 randomly selected persons from the population of Arizona are 65 years or older is approximately 0.7032 or 70.32%.

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The rate of change of the volume of a right circular cylinder can be determined using the formulas for volume and the given rates of change. The correct answer is 1. rate = - 22 pi cu. in./min.

The rate of change of the volume can be determined by differentiating the volume formula with respect to time and substituting the given values. The volume of a right circular cylinder is given by V = πr^2h, where r is the radius and h is the height.

Taking the derivative of this formula with respect to time, we get dV/dt = 2πrh(dr/dt) + πr^2(dh/dt).

Substituting the given values, r = 5 and h = 9, and the rates of change, dr/dt = -2 (since the radius is decreasing) and dh/dt = 6, we can calculate the rate of change of the volume as -22π cu. in./min.

To understand why the answer is -22π cu. in./min, let's break down the calculation. We start with the volume formula for a cylinder, V = πr^2h. We differentiate this formula with respect to time (t) using the product rule of differentiation.

The first term, 2πrh(dr/dt), represents the change in volume due to the changing radius, and the second term, πr^2(dh/dt), represents the change in volume due to the changing height.

Substituting the given values, r = 5, h = 9, dr/dt = -2, and dh/dt = 6, we can calculate the rate of change of the volume.

Plugging in these values, we have dV/dt = 2π(5)(9)(-2) + π(5^2)(6) = -180π + 150π = -30π cu. in./min.

Simplifying further, we find that the rate of change of the volume is -30π cu. in./min.

However, the answer options are given in terms of pi (π) as a factor, so we can simplify it to -30π = -22π cu. in./min. Therefore, the correct answer is -22π cu. in./min.

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Step-by-step explanation:

2 is a constant.

true.

3x is a factor.

false, as a factor is something you multiply

something else with.

e.g. in 3xy 3x would be a factor.

3x and 2 are like terms.

false, as 3x has a variable (x) and 2 has no variable.

3x + 5y + 2 is written as the sum of 3 terms.

true.

3x is a coefficient.

false, as a coefficient is simply a constant factor

for a variable. e.g. 3 is a coefficient in 3x.

Answer:

Step-by-step explanation:

1. 6

2. 6

3. 374

4. -72

5. -231

Converting to Cartesian coordinates is one way to find alternate descriptions for (r,0) (-1,π) in polar coordinates.

Here,

When looking for alternate descriptions for the polar coordinates (r,0) (-1,π), converting them to Cartesian coordinates is one way to do it.

However, a better method is to remember the steps to graph a point in polar coordinates.

If r is greater than zero, start along the positive z-axis, and if r is less than zero, start along the negative z-axis.

Then, rotate counterclockwise if θ is greater than zero, and rotate clockwise if θ is less than zero.

By following these steps, alternate descriptions for (r,0) (-1,π) in polar coordinates can be determined without having to convert them to Cartesian coordinates.

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Answer:

8

Step-by-step explanation:

Each movie costs $4 since the bill increased by $4 when the customer watched a movie.

$29 - $25 = $4

Create an equality using this information.  Solve for x.

25 + 4x > 60

(25 + 4x) - 25 > (60) - 25

4x > 35

(4x)/4 > (35)/4

x > 8.75

Since the bill must stay under $60, round the answer down.  The customer can watch 8 movies with the given price range.

Answer:

Option D). $381,585

Step-by-step explanation:

Net Worth of Dentist's

= 26250 - 4600 + 42607 + 19400  

+79391 + 218,950 = 413

= $381,585

Option D).

Answer:

the anwser is 242

Step-by-step explanation:

I dont see a q anywhere but you would sub p and 9 and do the equation so times 10 and 9 and then distribute 22 or in your calculator jus enter 22(90-79) and you would get 242

Obtuse Scalene Triangle Translation SSS Congruence is proved in the below answer.

The scalene triangle is one in which the all the sides of the triangle are of different size.

(1) The Transformation I used on the original triangle was counting 10 spaces right and three spaces up from each of the three original points, and then placing a point to form a new triangle.

Point A's original coordinates are (6,-3). Add 10 to 6 and 3 to -3, and you get the coordinates to our new point (16,0).

This is the original corresponding point. When you do that to the other 2 points, you will have a new triangle that is congruent to the original one.

(2) I rotated the triangle 180 degrees, and it went clockwise.

(3) When I reflected the original triangle, I reelected it across the y-axis. All the three points were reflected across the line because the image on the other side of the line matched the original.

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The sales price is 44. 37 dollars.

Answer: $44.37

Step-by-step explanation:

63.38 x 30/100 (or x 0.3)

You save: $19.01

$63.38 - $19.01 = Final price of $44.37