At least one of the answers above is NOT correct. Find the dimensions of the following linear spaces. (a) P7 6 (b) R3x2 2 (c) The real linear space C5 5

The given mathematical expression is evaluated for the input values (2, 4). The result of the expression is calculated using various operations such as addition, multiplication, square root, natural logarithm, minimum, maximum, and function composition.

The expression f(x1, x2) involves several mathematical operations. Let's evaluate each part of the expression step by step:

1. The first term is 421 + 222, which equals 643.

2. The second term is 3x² + 213. Plugging in x1 = 2 and x2 = 4, we get 3(2)² + 213 = 3(4) + 213 = 12 + 213 = 225.

3. The third term is 5x11². Substituting x1 = 2 and x2 = 4, we have 5(2)(11)² = 5(2)(121) = 1210.

4. The fourth term is (√₁+√₂)². Replacing x1 = 2 and x2 = 4, we obtain (√2 + √4)² = (1 + 2)² = 3² = 9.

5. The fifth term is 10ln(₁). Plugging in x1 = 2, we have 10ln(2) = 10 * 0.69314718 ≈ 6.9314718.

6. The sixth term is (x₁+x₂)(x² + x3). Substituting x1 = 2 and x2 = 4, we get (2 + 4)(2² + 4³) = 6(4 + 64) = 6(68) = 408.

7. The seventh term is min(3r1, 10√2). As we don't have the value of r1, we cannot determine the minimum between 3r1 and 10√2.

8. The eighth term is max{5x1,2r2}. Since we don't know the value of r2, we cannot find the maximum between 5x1 and 2r2.

9. Finally, we have MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2), which are not defined or given.

Considering the given expression, the evaluated terms for the input values (2, 4) are as follows:

- 421 + 222 = 643

- 3x² + 213 = 225

- 5x11² = 1210

- (√₁+√₂)² = 9

- 10ln(₁) ≈ 6.9314718

- (x₁+x₂)(x² + x3) = 408

The terms involving min() and max() cannot be calculated without knowing the values of r1 and r2, respectively. Additionally, MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2) are not defined.

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Answer:

D is correct

Step-by-step explanation:

First we find 20% of the price and subtract it

\(45*0.20=9\\45-9=36\)

Next we find how much tax would be

\(36*0.0825=2.97\)

then we add the two amounts together to get the final price

\(36+2.97=38.97\)

One possible algorithm to find the largest subset of line segments in the plane where each pair of segments intersects is to sort the segments based on their x-coordinate of the endpoint on the line y = 1.

Then, use a sweeping line from left to right to keep track of the segments that are intersecting the line y = 0. When the sweeping line reaches the right endpoint of a segment, it can be removed from the set of intersecting segments.

The set of intersecting segments at any given time represents a candidate subset of segments that intersect each other. The size of the largest subset can be updated as the sweeping line moves to the right.

The running time of this algorithm is O(nlogn), as the sorting step takes O(nlogn) time and the sweeping line takes O(n) time to process each segment.

The proof of correctness follows from the observation that the set of intersecting segments at any given time during the sweeping process is a candidate for the largest subset.

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Answer:

it should be 90 I could be wrong

to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below.

\((\stackrel{x_1}{2}~,~\stackrel{y_1}{9000})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{3000}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{3000}-\stackrel{y1}{9000}}}{\underset{\textit{\large run}} {\underset{x_2}{4}-\underset{x_1}{2}}} \implies \cfrac{ -6000 }{ 2 } \implies - 3000\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{9000}=\stackrel{m}{- 3000}(x-\stackrel{x_1}{2}) \\\\\\ y-9000=-3000x+6000\implies {\Large \begin{array}{llll} y=-3000x+15000 \end{array}}\)

Answer:

b,c,f

Step-by-step explanation:

The relation 1 is not a function, while the relation 2 is a function

For a relation to be a function, the following must be true:

Each y value in the function must have a unique x value

i.e. Each y value must have exactly one x value

Using the above as a guide, we have

Relation 1: This relation is not a function, because the x value 5 has two y values 2 and 4

Relation 2: This relation is a function, because each y value must have exactly one x value

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The number of socks you pull out to have two black socks is 3 socks

Total number of pairs of socks in a drawer = 10

Number of black pairs of socks = 5

Number of blue pairs of socks  = 5

A. If you picked 2 socks [black] and [blue] 3rd pick guarantees you will have one pair of either blue or black

The number of socks you pull out to guarantee that you have a pair of one color is 3 socks

B. If you want to pick 2 good pairs and your 6 picks are the worst case, so 7th pick of the socks will give you good pair of two colors.

The number of socks you pull out to have two good pairs is 7 socks

C. If you want to have a pair of black socks your worst case will be you pick all 10 blue socks so another 2 socks must be black.

Therefore, the number of socks you pull out to have two black socks is 12 socks.

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Answer:28°

Step-by-step explanation:

Angle O is double the size of the angle at the circumference

76x2=152

tangents are right angles from the radius

90°

90+90+152=332

360-332=28°

Therefore, when two lines begin parallel but later diverge, it implies that the geometry involved is non-Euclidean.

I understand that you would like an explanation related to parallel lines in geometry and the final answer should be concise, covering the main point in the last two lines.
In geometry, parallel lines are lines in a plane that never intersect or touch each other at any point. These lines always maintain the same distance from one another. However, if two lines start as parallel but later diverge, it indicates that they are no longer maintaining the same distance from each other. In such a case, the geometry under consideration is non-Euclidean.

Therefore, when two lines begin parallel but later diverge, it implies that the geometry involved is non-Euclidean.

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Answer:

Step-by-step explanation:

art I 5.00% per annum ------------- Amount invested =x

Part II 9.00% per annum ------------ Amount invested = y

8000

Interest----- 520.00

Part I 5.00% per annum ---x

Part II 9.00% per annum ---y

Total investment

x + 1 y= 8000 -------------1

Interest on both investments

5.00% x + 9.00% y= 520

Multiply by 100

5 x + 9 y= 52000.00 --------2

Multiply (1) by -5

we get

-5 x -5 y= -40000.00

Add this to (2)

0 x 4 y= 12000

divide by 4

y = 3000

Part I 5.00% $ 5000

Part II 9.00% $ 3000

CHECK

5000 --------- 5.00% ------- 250.00

3000 ------------- 9.00% ------- 270.00

Total -------------------- 520.00

Answer:

\(1\)

Step-by-step explanation:

\({(4.51) }^{0} = 1\)

hope this helps you.

Rounding it to three decimal places, the p-value is approximately 0.039.

The p-value (0.039) is less than the conventional significance level of 0.05. Since the p-value is smaller than the significance level, we reject the null hypothesis (H₀) and conclude that there is enough evidence to support the candidate's claim. The proportion of defective ballots is significantly less than 5.8%.

Here, we have to test the candidate's claim using Excel, we can perform a hypothesis test to determine if there is enough evidence to support the claim that less than 5.8% of the ballots were defective.

Here are the steps to calculate the p-value using Excel:

Null hypothesis (H₀): The proportion of defective ballots is equal to or greater than 5.8%.

Alternative hypothesis (Hₐ): The proportion of defective ballots is less than 5.8%.

Sample proportion (p) = Number of defective ballots / Total number of ballots sampled

SE = √((p * (1 - p)) / n), where n is the sample size (500 in this case).

z = (p - p0) / SE, where p₀ is the hypothesized proportion (5.8% or 0.058).

Now, let's calculate the p-value using Excel:

Assuming the number of defective ballots is 21 (as given in the question) and the total sample size is 500:

Calculate the sample proportion (p):

p = 21 / 500 = 0.042

Calculate the standard error (SE) of the sample proportion:

SE = √((0.042 * (1 - 0.042)) / 500) ≈ 0.0091

Calculate the test statistic (z-score):

z = (0.042 - 0.058) / 0.0091 ≈ -1.758

Find the p-value corresponding to the test statistic using Excel's NORM.S.DIST function:

=NORM.S.DIST(-1.758, TRUE)

The above Excel formula will return the p-value. Rounding it to three decimal places, the p-value is approximately 0.039.

Interpretation:

The p-value (0.039) is less than the conventional significance level of 0.05. Since the p-value is smaller than the significance level, we reject the null hypothesis (H₀) and conclude that there is enough evidence to support the candidate's claim. The proportion of defective ballots is significantly less than 5.8%.

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Answer:

0.42, 0.4, 0.19 coz its going down in size

Step-by-step explanation:

Answer: No triangle lengths have to add all three length together to equal 180 like 60 60 60 or 90 80 10

Step-by-step explanation:

The correct null and alternative hypotheses for this question. The null hypothesis is always the opposite of the alternative hypothesis.

H0: μ ≥ 3 (the mean forecast GDP of all economists is greater than or equal to 3%)
HA: μ < 3 (the mean forecast GDP of all economists is less than 3%)
This is because the question asks if the mean forecast GDP is less than 3%, which is the alternative hypothesis. The null hypothesis is always the opposite of the alternative hypothesis.

Based on the average predictions of 45 economists, the U.S. gross domestic product (GDP) will expand by 2.7% this year, and the sample standard deviation is 1%. To test if the mean forecast GDP of all economists is less than 3% at a 10% significance level, follow these steps:

1. Identify the null hypothesis (H0) and alternative hypothesis (HA). In this case, the null hypothesis is that the mean GDP growth is equal to or greater than 3%, while the alternative hypothesis is that the mean GDP growth is less than 3%. So, the correct choice is:
  H0: μ ≥ 3; HA: μ < 3 (Option c)
2. Calculate the t-test statistic:
  t = (sample mean - hypothesized mean) / (sample standard deviation / √n)
  t = (2.7 - 3) / (1 / √45)
  t = -0.3 / 0.149
  t ≈ -2.01
3. Determine the critical t-value at the 10% significance level using a t-table. With 44 degrees of freedom (n-1), the critical t-value for a one-tailed test at the 10% significance level is approximately -1.30.
4. Compare the t-test statistic with the critical t-value:
  Since -2.01 < -1.30, the t-test statistic falls in the rejection region.
5. Conclusion:
  Reject the null hypothesis (H0: μ ≥ 3) and accept the alternative hypothesis (HA: μ < 3). There is sufficient evidence at the 10% significance level to conclude that the mean forecast GDP of all economists is less than 3%.
Your answer: Option c. H0: μ ≥ 3; HA: μ < 3

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Answer:

17.6 ft

Step-by-step explanation:

tan 37 = 130/x

x = 130/tan 37 = 130/0.7536 = 172.5 feet

tan 40 = 130/y

y = 130/tan 40 = 130/0.8391 = 154.9

172.5 - 154.9 = 17.6 ft

Answer:

17.6 Ft

Step-by-step explanation:

Geometry B E2020!! :3

The true statement about the polynomials is (b) No, it's only with polynomials with a degrees of 1

Given that the polynomials f and g have a degree of 3

The composition of two functions, f ∘ g (read as "f composed with g"), is not commutative in general, meaning that f ∘ g is not necessarily equal to g ∘ f.

This holds true for polynomials of degree 3 as well.

In fact, if f and g are two different polynomials of degree 3, then f ∘ g and g ∘ f will be different polynomials in general.

The equation f ∘ g = g ∘ f holds true is when f and g are constant polynomials, that is, polynomials of degree 0 or 1.

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Answer:

-9

Step-by-step explanation:

Answer: -9

Step-by-step explanation: its just like adding positive numbers, just with negative signs

Answer:

23skem

Step-by-step explanation:

07233 that is how on edge 2021

Answer:

X= -1

Step-by-step explanation:

Used an Algebra app :)

It helps.

Answer:

x=−1

Step-by-step explanation:

Answer:

-37/100

Step-by-step explanation:

-37÷100

=-37/100

Answer:

Write the number in scientific notation

-0. 3 7 = - 3 . 7 × 1 0-¹<- minus 1

Rewrite the decimal as a fraction

-37 /100

Answer: To determine whether the condition of equal standard deviations is met in this case, we can perform a quick check by comparing the sample standard deviations of each group. If the sample standard deviations are roughly equal, then we can assume that the condition of equal standard deviations is met.

Alternatively, we can use Levene's test for equality of variances, which tests the null hypothesis that the population variances are equal across all groups. If the p-value of the test is greater than the significance level (usually 0.05), then we can assume that the condition of equal standard deviations is met.

Without the data or the sample standard deviations, it is not possible to determine whether the condition of equal standard deviations is met in this case.

Step-by-step explanation:

scale factor is 4

the blue square is 4 times bigger

Answer:

the scale factor would be 4

Step-by-step explanation:

because the blue square is about 4 times bigger then the other one

Answer: y = -6x - 2  

Step-by-step explanation:

54x + 15 = -3(3y + 1)   To solve for y distribute on the right side to get,

54x + 15 = -9y -3        Add 3 to both sides

      +3             +3

54x  + 18 = -9y        Divide each term by -9 on each side.

y = -6x - 2

Answer______

54x + 15 = -3 (3y + 1)

54x + 15 = -9y -3

+3 +3

54x + 18 = -9y

y = -6x - 2