PLS HELPPP I WILL GIVE BRAINLYISTT!!!!!

There is only one different square root of A.(a) To find the square roots of matrix A = [2 2; 2 2]: Let's consider two matrices B1 and B2: B1 = [1 1; 1 1]; B2 = [-1 -1; -1 -1].

Now, let's check if BB = A for each matrix: B1B1 = [1 1; 1 1] * [1 1; 1 1] = [2 2; 2 2] = A; B2B2 = [-1 -1; -1 -1] * [-1 -1; -1 -1] = [2 2; 2 2] = A. Both B1 and B2 satisfy BB = A, so they are two possible square roots of matrix A. (b) For matrix A = [5 0; 0 9], let's consider a matrix B: B = [√5 0; 0 √9] = [√5 0; 0 3] .We can see that BB = [√5 0; 0 3] * [√5 0; 0 3] = [5 0; 0 9] = A.

Thus, there is only one different square root of A. (c) Not every 2x2 matrix has a square root. For a square root of a matrix to exist, the matrix must be positive definite or positive semidefinite. If the eigenvalues of the matrix are negative or complex, there won't be any real square root. Additionally, if the matrix has zero eigenvalues with multiplicities greater than one, it may not have a unique square root. Therefore, the existence of a square root for a 2x2 matrix depends on its eigenvalues and their properties.

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Part A: The area of the large pizza (AL) is given by AL = 2As.

Part B: The radius of the small pizza (rs) is given by rs = sqrt(As/π).

Part C: The radius of the large pizza (rL) is given by rL = sqrt(2A/π).

Part D: The radius of the large pizza is not twice as large as the radius of the small pizza. The answer is no.

The area of the large pizza (AL) can be written in terms of the area of the small pizza (As) as follows:

AL = 2As.

The area of the small pizza (As) is given by

As = πrs^2. To find the radius of the small pizza (rs), we can rearrange the formula as

rs = sqrt(As/π).

The area of the large pizza (AL) is given by AL = πrL^2.

Using the information from Part A, we know that AL = 2As.

Substituting this into the equation, we get 2As = πrL^2.

Rearranging the formula, we can write rL in terms of A as rL = sqrt(2A/π).

Comparing the radii of the two pizzas, we find that the radius of the large pizza (rL) is not twice as large as the radius of the small pizza (rs).

Instead, the radius of the large pizza (rL) can be found using the formula

rL = sqrt(2A/π), while the radius of the small pizza (rs) can be found using the formula

rs = sqrt(As/π).

Therefore, the large radius is not twice the size of the small radius. The answer is no.

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Answer:

20 units squared

Step-by-step explanation:

Using pythagorean theorum, we can find the hypotenuse(the long side). \(\sqrt{2^2 + 4^2} = \sqrt{20}\). Since the area of a square is one of the sides multiplied by itself, we get 20 units squared

Answer:

3) 522

4) 468

Step-by-step explanation:

hello!

3) in the question, it says the cross section is a square, and the area of PQRS is 81.

for the square, we know that the length and height have to be the same, so if the area is 81, then we know the sides are both 9 because 9*9 is 81 and they're the same numbers multiplied. (same height and length)

with the information that all 4 sides of the square is 9 and the other side is labeled 10, we can figure out the rest.

both squares : 81+81=162

both 10 by 9 sides: 90+90=180

both 10 by 9 sides (top and bottom): 90+90=180

total surface area=162+180+180=522

4) for this problem, we can see that the triangle is a right triangle.

to solve the area of the triangle, we can do (9*12)/2=108/2=54.

there are two sides with triangles, so we double 54 (54*2=108)

9 by 10 side: 90

10 by 12 side: 120

now for the last slide, theres no information on the length. the formula for the diagonal is

a^2+b^2=c^2

which is

9^2+12^2=81+144=255=15^2

with this, the area of the rectangular side gives us 10*15 which is 150.

adding it together, we get

108+90+120+150=468.

hope this helps!

The "hypothesis of no change," "status quo," and "conventional wisdom" are all alternative names for the null hypothesis. Unless there is overwhelming evidence to the contrary, the null hypothesis is assumed to be correct.

H0: u = 1: u ≠ 1,400

When testing hypotheses with the P value, the null hypothesis is rejected if?

The evidence against the null hypothesis is stronger when the p-value is smaller (closer to 0).If the p-esteem is not exactly or equivalent to the predetermined importance level α, the invalid speculation is dismissed;The null hypothesis is not rejected otherwise.

A statement of expectation or prediction that will be tested by research is called a research hypothesis. Read up on the subject that interests you before coming up with your research hypothesis.

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The horizontal distance between zack and the water fountain will be 141.05 feet.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

Zack is standing at the top of a lookout tower and spots a water fountain below. If the lookout tower is 75 feet tall and the angle of depression is 28°.

Then the horizontal distance between zack and the water fountain is given as,

tan 28° = 75 / x

x = 75 / tan 28°

x = 75 / 0.5317

x = 141.05 feet

The horizontal distance between zack and the water fountain will be 141.05 feet.

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Answer:

Red: 2.035 x 10(4)

Step-by-step explanation:

Answer:

Red.

Step-by-step explanation:

Scientific notation consists of the ones place with a decimal right after it and a 10 to the something power next to it, therefore red is your answer.

Answer:

r= 0.018

Step-by-step explanation:

because you divide 223 from 12001

In calculating the mean of this data set  Ashrita did the best job.

The  Mean of the data set is the most commonly used measures of central tendency.

It means the average value of the data set.

one doesn't have to arrange the data in order  for finding it.

The data set value  takes is to add them all together and divide that by the number of the data.

It can be written as

\(,(x_1 + x_2 + x_3 + ..... + x_n) / n\)

Where \(x_1 , x_2 , x_3 , ..... ,x_n\)are the values in the data set

Therefore we can conclude that Ashrita did the best job in calculating the mean of this data set.

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Answer:

615.75216

Step-by-step explanation:

A=πr2

=π·14^2

≈615.75216

Answer:

\(r = 14cm \\ area = \pi \: r {}^{2} \\ area = 3.14 \times 14 \times 14 \\ area = 3.14 \times 196 \\{area = 615.44}\)

tried my best to show the steps!! all i did was isolate to find the missing widths attached to the respective lengths (divided surface area by width) and then multiply both sides by two and add them together to find the perimeter.

The dimensions of the garden that would require the least amount of fencing are 6 ft in length and 6 ft in width.

The dimensions are the sides of a geometric shape.

The lengths of the three gardens are given as 6 ft, 9 ft, and 12 ft respectively.

If the area of the garden is 36 feet squared, then the widths for the three lengths will be as follows:

The width of the garden with a length of 6 ft \(= \dfrac{36}{6} = 6\ ft\)

The width of the garden with a length of 9 ft \(= \dfrac{36}{9} = 4\ ft\)

The width of the garden with a length of 6 ft \(= \dfrac{36}{12} = 3\ ft\)

The parameters are calculated as:

The parameter of the garden with dimensions (6 ft, 6 ft) = 2(6 + 6) = 24 ft

The parameter of the garden with dimensions (9 ft, 4 ft) = 2(9 + 4) = 26 ft

The parameter of the garden with dimensions (12 ft, 3 ft) = 2(12 + 3) = 30 ft

The least of the parameter is of the garden with dimensions (6 ft, 6 ft).

Thus, the garden with dimensions (6 ft, 6 ft) would require the least amount of fencing.

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The 90% confidence interval for the difference in the population means is -2.51 to 0.31

From the question, we have the following parameters that can be used in our computation:

xˉ₁ = −17.1

s₁² = 8.4

n₁ = 22

​xˉ₂ = −16.0

s₂² = 8.7

n₂ = 24

Calculate the pooled variance using

P = (df₁ * s₁² + df₂ * s₂²)/df

Where

df₁ = 22 - 1 = 21

df₂ = 24 - 1 = 23

df = 22 + 24 - 2 = 44

So, we have

P = (21 * 8.4 + 23 * 8.7)/44

P = 8.56

Also, we have the standard error to be

SE = √(P/n₁ + P/n₂)

So, we have

SE = √(8.56/22 + 8.56/24)

SE = 0.86

The z score at 90% CI is 1.645, and the CI is calculated as

CI =  (x₁ - x₂) ± z * SE

So, we have

CI = (-17.1 + 16.0) ± 1.645 * 0.86

This gives

CI = -1.1 ± 1.41

Expand and evaluate

CI = (-2.51, 0.31)

Hence, the confidence interval is -2.51 to 0.31

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Answer:

C i think

Step-by-step explanation:

pls mark brainlyest

Answer:

B. HL

Step-by-step explanation:

(a) The real discrete Fourier transform (DFT) is calculated for the given data set to analyze the helicopter's acoustic signature.

(b) To obtain the ck values and illustrate the relative size of each term in the Fourier series, we calculate the magnitude of each coefficient and plot their amplitudes on a bar graph against the corresponding frequency component, k.

To analyze the helicopter's acoustic signature, the real DFT is computed for the provided data set. The DFT transforms the time-domain measurements of acoustic pressure into the frequency domain, revealing the different frequencies present and their corresponding amplitudes. This analysis helps in understanding the spectral characteristics of the helicopter's acoustic signature and identifying prominent frequency components.

Using the Fourier series representation, the amplitudes (ck's) of the different frequency components in the Fourier series are determined. These amplitudes represent the relative sizes of each term in the series, indicating the contribution of each frequency component to the overall acoustic signature. By plotting the amplitudes on a bar graph, the relative strengths of different frequency components become visually apparent, enabling a clear comparison of their importance in characterizing the helicopter's acoustic signature.

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The equation for money collected m for h boxes of chocolate bars sold is m = 30h.

We are given that the band is selling every bar of chocolate for $1.50

Now, they have boxes of chocolate, with every box containing 20 bars of chocolate in them.

Hence if we are going to calculate the amount of money collected on selling one box it will be

20 X $1.5

= $30

We need to find the equation for the amount of money collected based on the number of boxes of chocolate bars sold.

We have been given that money collected should be represented b m while the number of chocolate boxes sold should be represented by h

Now we know that

Money collected = price per box X no.of boxes sold

we have already calculated the price per box hence we get

m = 30h

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Answer:

370

Step-by-step explanation:

370

1840

Step-by-step explanation:

20 * 20 + 77 - 100

Answer:

Step-by-step explanation:

Correct option is A)

The solution of the given equation \(y=6x+20\) is \(x = \frac{y + 20}{6}\)

What is linear equation?

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation.

We have,

                        \(y = 6x + 20\)

Arrange the equation both sides so that all variable terms are on the left hand side.

                        \(6x - 20 = y\)

Add 20 to both sides of the equation.

                   \((6x - 20) + 20 = y + 20\)

                        \(6x = y + 20\)

Divide both sides by 6 we get,

                          \(\frac{6x}{6} = \frac{y + 20}{6}\)

                      ∴   \(x = \frac{y + 20}{6}\)

Hence, final solution is \(x = \frac{y + 20}{6}\) .

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If the expression is given as h(x) = (ax² + x + 1)/(bx² + x + 2), we can discuss the limit behavior of h(x) as x approaches infinity.

a) lim h(x) = 5: This means that as x approaches infinity, the limit of h(x) is 5. In order for this to be true, the leading terms of the numerator and denominator must have the same degree and the coefficient of the leading term in the numerator must be 5 times the coefficient of the leading term in the denominator. This ensures that the leading terms dominate the function as x becomes large.

b) lim h(x) = 0: This means that as x approaches infinity, the limit of h(x) is 0. In order for this to be true, the numerator must have a lower degree than the denominator or the coefficients of the leading terms in the numerator and denominator must be equal and cancel out as x becomes large.

c) lim h(x) = infinity: This means that as x approaches infinity, the limit of h(x) is infinity. In order for this to be true, the denominator must approach zero faster than the numerator as x becomes large. This can happen when the leading term in the denominator has a higher degree or when there is a common factor in the numerator and denominator that cancels out.

It's important to note that the specific values of a, b, and the coefficients of the polynomials will determine the actual behavior of the function and whether these limits hold true.

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Option 2 is correct that is 1.79

When presented in ascending order, the value that 75% of data points fall within is known as the higher quartile, or third quartile (Q3).

The quartiles formula is as follows:

Upper Quartile (Q3) = 3/4(N+1)

Lower Quartile (Q1) = (N+1) * 1/3

Middle Quartile (Q2) = (N+1) * 2/3

Interquartile Range = Q3 -Q1,

1.74, 0.24, 1.56, 2.79, 0.89, 1.16, 0.20, and 1.84 are available.

Sort the data as follows: 0.20, 0.24, 0.89, 1.16, 1.56, 1.74, 1.84, 2.79 in ascending order of magnitude.

The data set has 8 values.

hence, n = 8; third quartile: 3/4 (n+1)th term

Q3 =3/4 of a term (9) term

Q3 =27/4 th term

Q3 = 1.74 + 1.84 / 2 (average of the sixth and seventh terms)

equals 1.76

Thus Q3 is 1.76 that is option 2

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Answer:

x + 2x-7

Step-by-step explanation:

x is the amount of books Sarah has

2x-7 is how many books Sarah's sister has

Add them together : x+2x-7

Answer:

I think the answer is 322 because 1/2=50% which is equal to half

Answer:

C

Step-by-step explanation:

thanks to the given informations we can say that the right triangle is half of an equilater one.

the height of the triangle can be find by multiplying the smallest leg with √3

so

x√3 = 8

x = 8/√3

that can be expressed as 8√3/3

8√3

3

Step-by-step explanation:

This triangle is 30-60-60 and to get side 8 is equal to x√3

Marco's data points have a better line of best fit based on a comparison of Correlation coefficients.

Marco is incorrect in stating that his data points have a better line of best fit than Landon based solely on the comparison of correlation coefficients. The magnitude of the correlation coefficient alone does not determine the quality or strength of the line of best fit.

The correlation coefficient measures the strength and direction of the linear relationship between two variables. It ranges from -1 to +1. A positive correlation coefficient (such as 0.85) indicates a positive linear relationship, while a negative correlation coefficient (such as -0.85) indicates a negative linear relationship. The closer the correlation coefficient is to -1 or +1, the stronger the relationship. A correlation coefficient of 0 indicates no linear relationship.

In the case of Landon and Marco, both correlation coefficients have the same absolute value of 0.85, suggesting a strong linear relationship. However, the negative sign for Landon's correlation coefficient indicates a negative linear relationship, while the positive sign for Marco's correlation coefficient indicates a positive linear relationship.

The comparison between -0.85 and 0.85 should not be made in terms of greater or lesser quality of the line of best fit. The choice of a positive or negative correlation depends on the context and nature of the variables being analyzed.

The appropriateness of the line of best fit and the goodness-of-fit of the model should be evaluated based on additional factors such as the data points' distribution around the line, residuals, and the overall context of the analysis. These aspects provide more comprehensive insights into the quality of the fit and the reliability of the relationship being represented.

Therefore, Marco's data points have a better line of best fit solely based on a comparison of correlation coefficients. The interpretation of the correlation coefficient requires considering the nature of the variables and other factors influencing the analysis.

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Answer: 50%

Step-by-step explanation:

I'm converting 7kg to grams to make it easier. So £10 = 7000g

£1 = 7000÷10 = 700g

700g÷2 = 350g and if you follow the ratios on top, she payed 50p per 350g

She sells a bag of 350g for 75p.

Percentage profit=\(\frac{Change in cost}{original cost}\) × 100

75p - 50p = 25p = change in cost

Percentage profit= \(\frac{25}{50}\) × 100

= 50%

Answer:

If the length is kept 16 or 14  and the breadth 8 or 10 the outer fencing can be 48 meters.

Step-by-step explanation:

The boundary gives the perimeter . Using the formula of the perimeter for a rectangle  where L= length and B= breadth

P = 2(L+B)

48= 2(L+B)

24= (L+B)

The length must be longer than the breadth in the rectangle so we can obtain the sum of 24 in such a way that one side is longer than the other.

24= 16+8

or 24= 14+10

where the length can be 16 or 14 and breadth can be 8 or 10 .

If the length is kept 16 or 14  and the breadth 8 or 10 the outer fencing can be 48 meters.

The simplified rational expression is (x + 1)(x - 1) / (x + 3).

To simplify the given rational expression (x^2 - 2x - 24) / (x^2 + 7x + 12) multiplied by (x^2 - 1) / (x - 6), follow these steps:

Step 1: Factor the expressions where possible.
(x^2 - 2x - 24) = (x - 6)(x + 4)
(x^2 + 7x + 12) = (x + 4)(x + 3)
(x^2 - 1) = (x + 1)(x - 1)

Step 2: Rewrite the expression with the factored terms.
((x - 6)(x + 4)) / ((x + 4)(x + 3)) * ((x + 1)(x - 1)) / (x - 6)

Step 3: Cancel common factors in the numerator and denominator.
The (x - 6) terms cancel, and the (x + 4) terms cancel.

Step 4: Rewrite the simplified expression.
(x + 1)(x - 1) / (x + 3)

So, the simplified rational expression is (x + 1)(x - 1) / (x + 3).

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Answer: 8

Step-by-step explanation:

7.69

If less than 5 bring it down/ if more than 5 level up

7.69 if this underlined it shows the tens

the answer is 8

The decimal number 7.69 can be rounded to the nearest whole number as 8.

Given is a decimal number 7.69.

It is required to write this number which has to be rounded to the nearest whole number.

The whole part of the decimal number 7.69 is 7.

Now the number which is next to the whole part is 6 after the decimal point.

So, a unit has to be added to or remains as 7, according to the number after the decimal point.

The number is 6, which is greater than 5.

So a unit has to be added to 7 and it becomes 8.

Hence the number rounded to the nearest whole number is 8.

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