Which statement is true?
A All irrational numbers are real.
B All integers are whole numbers.
C All irrational numbers are integers.
D All real numbers are irrational.

The norms of the given functions are :

||p|| = √110 and ||q|| = √18.

To compute the norms ||p|| and ||q|| for the given functions p(t) = 6 + t and q(t) = 4 - 3t^2, with the inner product defined by evaluation at -1, 0, and 1, follow these steps:

Step 1: Evaluate p(t) and q(t) at the given points -1, 0, and 1.

For p(t) = 6 + t:
p(-1) = 6 + (-1) = 5
p(0) = 6 + 0 = 6
p(1) = 6 + 1 = 7

For q(t) = 4 - 3t^2:
q(-1) = 4 - 3(-1)^2 = 4 - 3 = 1
q(0) = 4 - 3(0)^2 = 4
q(1) = 4 - 3(1)^2 = 4 - 3 = 1

Step 2: Compute the norms ||p|| and ||q|| using the inner product.

For p(t):
||p|| = √(p(-1)^2 + p(0)^2 + p(1)^2) = √(5^2 + 6^2 + 7^2) = √(25 + 36 + 49) = √110

For q(t):
||q|| = √(q(-1)^2 + q(0)^2 + q(1)^2) = √(1^2 + 4^2 + 1^2) = √(1 + 16 + 1) = √18

Thus, ||p|| = √110 and ||q|| = √18.

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Answer:

(no solutions exist)

Step-by-step explanation:

Answer: The person above me is correct. Here is a picture if you still dont get it..

Step-by-step explanation:

Answer:

t=115

3

Step-by-step explanation:

3×t=115

Answer: A is definitely the correct answer

Vertical lines do not have positive slopes or negative slopes. They have undefined slopes.

Now, According to the question :

What is Vertical line?

A vertical line is a line, parallel to y-axis and goes straight, up and down, in a coordinate plane. Whereas the horizontal line is parallel to x-axis and goes straight, left and right.

Is a vertical line positive or negative?

The slope of a line can be positive, negative, zero, or undefined. A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).

Hence, Vertical lines do not have positive slopes or negative slopes. They have undefined slopes.

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a. The MRS is constant (not diminishing) at 1/3.

U(x,y) = 3x + y

The MRS for this utility function can be found by taking the partial derivative of x concerning y:

MRS = ∂U/∂y / ∂U/∂x = 1 / 3

The MRS is constant (not diminishing) at 1/3.

b. The MRS is diminishing because as y increases, the MRS decreases.

U(x,y) = x * y

The MRS for this utility function can be found by taking the partial derivative of x concerning y:

MRS = ∂U/∂y / ∂U/∂x = 1 / y

The MRS is diminishing because as y increases, the MRS decreases.

c. The MRS is diminishing because as y increases, the MRS decreases.

U(x,y) = x * y

The MRS for this utility function can be found by taking the partial derivative of x concerning y:

MRS = ∂U/∂y / ∂U/∂x = 1 / y

Similar to the previous case, the MRS is diminishing because as y increases, the MRS decreases.

d. The MRS depends on the ratio of y to x and can vary.

U(x,y) = x^2 - y^2

The MRS for this utility function can be found by taking the partial derivative of x concerning y:

MRS = ∂U/∂y / ∂U/∂x = -2y / 2x = -y / x

The MRS depends on the ratio of y to x and can vary. It is not necessarily diminishing.

e. The MRS depends on the values of x and y and can vary.

U(x,y) = x + y / (x * y)

The MRS for this utility function can be found by taking the partial derivative of x concerning y:

MRS = ∂U/∂y / ∂U/∂x = -1 / (y^2) + 1 / (x^2 * y)

The MRS depends on the values of x and y and can vary. It is not necessarily diminishing.

Now let's move on to the second part of the question:

For parts a, b, and c, we need more specific information about the utility functions, such as the values of α and β, to calculate the demand curves for x and y, the indirect utility function, and the expenditure function.

To show that the demand curve is homogeneous in degree zero in terms of income and prices, we need the specific functional form of the utility functions and information about the prices of x and y. Please provide the necessary details for parts A, b, and c to continue the analysis.

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Answer:

If I know I will defiantly answer .but where is the question

Answer: 7

Step-by-step explanation:

i wish i knew why

Answer:

get smart

Step-by-step explanation:

dont cheat there is no good out of cheating

Answer:

G=3

3.3 x 3 =9.9 9.9 + 6 =15.9

1.3 x 3 =3.9 3.9 + 12 =15.9

So, G=3

Answer: 64 m²

Step-by-step explanation:

Now,

Area of Shape = A + B + C

                        = (6 m × 1 m) + (4m × 2m) + (5 m × 10m)

                        = 6 m² + 8 m² + 50 m²

                        = 64 m²

Answer:

The line of the equation is:

\(y-7=5\left(x+8\right)\)

Step-by-step explanation:

Given

As the point-slope form is given by

\(y-y_1=m\left(x-x_1\right)\)

where m is the slope

substituting the values m=5 and the point (-8, 7)

\(y-7=5\left(x-\left(-8\right)\right)\)

\(\mathrm{Apply\:rule}\:-\left(-a\right)=a\)

\(y-7=5\left(x+8\right)\)

Therefore, the line of the equation is:

\(y-7=5\left(x+8\right)\)

The parking garage's underground height will be 50 feet.

The height is a vertical distance between two points. It is given in the question that the elevator in the downtown skyscraper goes from the top floor down to the lowest level of the underground parking garage. If the building is 330 feet tall and the elevator descends 380 feet from top to bottom.

The total height of the building above the ground is 330 feet.

The elevator descends 380 feet from top to bottom is 380 feet.

The height of the underground base will be calculated as:-

H = 380 - 330 = 50 feet

Therefore parking garage's underground height will be 50 feet.

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The sample indicates that the data does not provide sufficient evidence to support the claim that 20% of plants are infected.

This given test is a test for single sample proportion

The test hypothesis are:

\(H_{o} :p=0.20\), null hypothesis

\(H_{1} :p\neq 0.20\), alternative hypothesis

The test statistic fallows a standard normal distribution and is given by:

\(Z=\frac{x-p}{{\sqrt{p(1-p)/n} } }\)

p=0.20

X=47 plants

Sample size, n=500

x, is the sample mean:

x=X/n=47/500

x=0.094

So, test statistic is calculated as:

\(Z=\frac{0.094-0.20}{\sqrt{0.20(1-0.20)/500} }\)

Z=-5.93

From the z-table, the p-value associated with Z=-5.93 is approximately 0

The decision rule based on p-vale, is to reject the null hypothesis if p-value is less than confidence level

In this case, the p-value is very small and less than confidence level of 0.20, we therefore reject the null hypothesis or the claim

So we conclude that the data does not provide sufficient evidence to support the claim that 20% of plants are infected.

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Answer:

detailed

Step-by-step explanation:

answer

The probability of rolling a 1 with this loaded die is 1/9.

Let's first assign probabilities to the possible outcomes of rolling the die:

There are 3 even numbers (2, 4, and 6) and 3 odd numbers (1, 3, and 5) on a standard six-sided die.

Since rolling an even number is twice as likely as rolling an odd number, we can assign probabilities as follows:
P(2) = P(4) = P(6) = 2x
P(1) = P(3) = P(5) = x
Now, we need to remember that the total probability of all outcomes must add up to 1:
P(1) + P(2) + P(3) + P(4) + P(5) + P(6) = x + 2x + x + 2x + x + 2x = 9x
Since the total probability is 1, we can write the equation:
9x = 1.

Now, we can solve for x:
x = 1/9
Since we want the probability of rolling a 1, we just use the value of x:
P(1) = x = 1/9.

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Answer:

every 2 years

Step-by-step explanation:

since it is t/2 for the exponent - thas the answer on khan

The rate of change in the population of the Siberian tigers loses 65% every two years.

Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.

Bozena is an ecologist who studies the change in the tiger population of Siberia over time. The relationship between the elapsed time t, in years, since Bozena started studying the population, and the number of tigers, N(t), is modeled by the following function:

\(\rm N(t)=537\times (0.35)^{t/2}\)

Then it is clear that the population of the Siberian tigers loses 65% of its size every two years.

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The additional information you will need to show that triangles RST and UTS are congruent by SSS congruence is: c. RT ≅ US.

To prove that two triangles are congruent to each other using the SSS congruence as a criteria, we need to know or be able to show that the three sides of one triangle are congruent to the corresponding 3 sides of the other triangle.

If this criterion is met, then we have enough information needed to show the two instruments are congruent by the SSS congruence.

RS ≅ UT as marked in the diagram shown. Also, by the reflexive property, we ST ≅ TS.

We already know two pairs of sides are congruent to each other in both triangles.

In other to prove the triangles are congruent by SSS congruence, the additional information needed is: c. RT ≅ US.

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Answer:

Step-by-step explanation:The additional information you will need to show that triangles RST and UTS are congruent by SSS congruence is: c. RT ≅ US.

How to Prove Two Triangles are Congruent by SSS Congruence Postulate?

To prove that two triangles are congruent to each other using the SSS congruence as a criteria, we need to know or be able to show that the three sides of one triangle are congruent to the corresponding 3 sides of the other triangle.

If this criterion is met, then we have enough information needed to show the two instruments are congruent by the SSS congruence.

RS ≅ UT as marked in the diagram shown. Also, by the reflexive property, we ST ≅ TS.

We already know two pairs of sides are congruent to each other in both triangles.

In other to prove the triangles are congruent by SSS congruence, the additional information needed is: c. RT ≅ US.

Using the side-side-side (SSS), ΔRST ≅ ΔLKJ as shown in the proof below.

If we show that two triangles have three pairs of corresponding sides that are congruent to each other, then the two triangles can be stated to be congruent to each other based on the side-side-side (SSS) congruence theorem.

Given the two triangles in the diagram, the proof that shows that ΔRST ≅ ΔLKJ is shown below:

Statement                                     Reason                                      

1. Line RS ≅ side KL                     1. Given

2. Line ST ≅ side JK                    2. Given

3. Line RT ≅ side JL                    3. Given

4. ΔRST ≅ ΔLKJ                           4. Side-side-side (SSS)

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Answer:

Step-by-step explanation:

-11=7-x

-7  -7  

-18=-x

18=x

These are the computed values of beta and p-value for the given alternative value p = 0.21 and sample sizes.

To compute the beta (β) for the given alternative value p = 0.21 and sample sizes n = 81, 900, 14,400, 40,000, and 90,000, we need to determine the probability of Type II error. Beta is the probability of failing to reject the null hypothesis (H₀) when the alternative hypothesis (Hₐ) is true.

To calculate beta, we need to find the corresponding z-value for the given significance level α = 0.01, which corresponds to a z-value of 2.33 (approximate value).

Using the formula for the standard deviation of the sample proportion:

σ = sqrt((p₀ * (1 - p₀)) / n)

where p₀ is the null hypothesis value, p = 0.2, and n is the sample size.

Then we can calculate the z-score for the alternative value p = 0.21 using the formula:

z = (p - p₀) / σ

Finally, we can compute beta using the standard normal distribution table or a statistical calculator.

Let's calculate beta for the given sample sizes:

For n = 81:

σ = sqrt((0.2 * (1 - 0.2)) / 81) ≈ 0.0447

z = (0.21 - 0.2) / 0.0447 ≈ 0.2494

beta = P(Z > 0.2494) ≈ 0.4013

For n = 900:

σ = sqrt((0.2 * (1 - 0.2)) / 900) ≈ 0.0143

z = (0.21 - 0.2) / 0.0143 ≈ 0.7692

beta = P(Z > 0.7692) ≈ 0.2206

For n = 14,400:

σ = sqrt((0.2 * (1 - 0.2)) / 14,400) ≈ 0.0071

z = (0.21 - 0.2) / 0.0071 ≈ 1.5493

beta = P(Z > 1.5493) ≈ 0.0606

For n = 40,000:

σ = sqrt((0.2 * (1 - 0.2)) / 40,000) ≈ 0.0050

z = (0.21 - 0.2) / 0.0050 ≈ 2.2000

beta = P(Z > 2.2000) ≈ 0.0139

For n = 90,000:

σ = sqrt((0.2 * (1 - 0.2)) / 90,000) ≈ 0.0033

z = (0.21 - 0.2) / 0.0033 ≈ 3.0303

beta = P(Z > 3.0303) ≈ 0.0012

Next, let's calculate the p-value for the alternative value P = 0.21 and sample sizes n = 81, 900, 14,400, and 40,000.

The z-score for the given P can be calculated using the formula:

z = (P - p₀) / σ

Using the standard normal distribution table or a statistical calculator, we can find the area under the curve beyond the calculated z-score to obtain the p-value.

For n = 81:

σ = sqrt((0.2 * (1 - 0.2)) / 81) ≈ 0.0447

z = (0.21 - 0.2) / 0.0447 ≈ 0.2494

p-value = P(Z > 0.2494) ≈ 0.4013

For n = 900:

σ = sqrt((0.2 * (1 - 0.2)) / 900) ≈ 0.0143

z = (0.21 - 0.2) / 0.0143 ≈ 0.7692

p-value = P(Z > 0.7692) ≈ 0.2206

For n = 14,400:

σ = sqrt((0.2 * (1 - 0.2)) / 14,400) ≈ 0.0071

z = (0.21 - 0.2) / 0.0071 ≈ 1.5493

p-value = P(Z > 1.5493) ≈ 0.0606

For n = 40,000:

σ = sqrt((0.2 * (1 - 0.2)) / 40,000) ≈ 0.0050

z = (0.21 - 0.2) / 0.0050 ≈ 2.2000

p-value = P(Z > 2.2000) ≈ 0.0139

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The feasible region for the graph is Region III.

Here we have been given the Objective Function

Max 20X + 10Y

The constraints to the function are

12X + 15Y ≤ 180

15X + 10Y ≤ 150

3X − 8Y ≤ 0

Now here we will first draw the graph of the function. We will do this by joining the intercepts of the constraints and shading the feasible region

Now,

12X + 15Y ≤ 180

Here putting X = 0 we get Y = 12 and putting Y = 0, we get X = 15

Hence the intercepts are

(0, 12) and (15, 0)

15X + 10Y ≤ 150

Here we will get the intercepts to be (0, 15) and (10, 0)

3X − 8Y ≤ 0

For this, we will get the intercept as

(0 , 0) and we will get another point as (8 , 3)

Hence now we see that all have a less-than-equal sign, hence all the lines will have their shadings toward the origin.

Hence we get the feasible region as ABCD as shown in the image.

This matches with region III from the question. Hence we get region III as the feasible region

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Complete Question

(Image Attached)

Because the sides are not raised correspondingly, PQRST is not an exact replica of ABCDE on a smaller size.

What is scaled copy?

If the same scale factor is applied to scaling each segment of the preimage or original image to determine the length of the corresponding segments of the scale copy or image, then one polygon is said to be a scaled copy of another polygon. All parts must be sized proportionally, in other words.

The numerous preimage segments of polygon PQRST, which is the new image of polygon ABCDE, are scaled using a variety of scale factors. Simply put, the sides of PQRST were not correspondingly increased. PQRST is not a scaled replica of ABCDE as a result.

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Answer:

y=1,425-×3

Step-by-step explanation:

the x has to be divided by the 1/3

Answer:

i dont think you would wanna sin cause sin is  the ordinary sense of the word and consists of evil acts, whether of thought, word, or deed and yh

Step-by-step explanation:

Answer:

4x-8+4y

Step-by-step explanation:

Answer:

4x - 8 + 4y

Step-by-step explanation:

4 (x - 2 + y)

= 4x - 8 + 4y