Can someone help me? I’ll give brainliest to whoever gets it right first

The set of prime numbers greater than 11 with the cardinality of 5 is {13, 17, 19, 23, 29}

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

Set = prime numbers

Cardinality = 5

The cardinality implies that the number of elements in the set is 5

5 prime numbers greater than 11 are 13, 17, 19, 23, 29

Hence, the set is {13, 17, 19, 23, 29}

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The diameter in standard notation is 250,000 km, so the correct option is C.

we know that the diameter in scientific notation is:

D = 2.5*10^5 km

Now we want to rewrite this in standard notation, to do so you just need to solve the product, we can rewrite:

10^5 = 10*10*10*10*10 = 100,000

Then we can rewrite the diameter as:

D = 2.5*10^5 km = 2.5*100,000 km

D = 250,000 km

The diameter in standard notation is 250,000 km, so the correct option is C.

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Answer:

R = \(\frac{V}{I}\)

Step-by-step explanation:

IR = V ( isolate R by dividing both sides by I )

R = \(\frac{V}{I}\)

\(\huge \rm༆ Answer ༄\)

Here's the solution ~

\({ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: \dfrac{d}{dx} (2 {x}^{2} - 4x + 1)\)

\({ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: \dfrac{d}{dx} (2 {x}^{2}) - \dfrac{d}{dx} ( 4x )+ \dfrac{d}{dx} (1)\)

\({ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: (2 \times 2x {}^{2 - 1} { }^{}) - ( 1 \times 4x ^ {1 - 1})+ (0)\)

\({ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: (2 \times 2x {}^{} { }^{}) - ( 1 \times 4 ^ {})+ 0\)

\({ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:4x - 4\)

Answer:

\( \sf = > \frac{d}{dx} ( {2x}^{2} - 4x + 1)\)

\( \sf = > \frac{d}{dx} ( {2x}^{2} ) +\frac{d}{dx} ( - 4x) + \frac{d}{dx} (1)\)

\( \sf = > 2\frac{d}{dx} ( {x}^{2} ) + \frac{d}{dx} ( - 4x) + \frac{d}{dx} (1)\)

\( \sf= > 2(2x) + \frac{d}{dx} ( - 4x) + \frac{d}{dx} (1)\)

\( \sf \: = > 4x + \frac{d}{dx} ( - 4x) + \frac{d}{dx} (1)\)

\( \sf \: = > 4x - 4\frac{d}{dx} (x) + \frac{d}{dx} (1)\)

\( \sf = > 4x - 4 \times 1 + \frac{d}{dx} (1)\)

\( \sf \: = > 4x - 4 + 0\)

\( \sf = > 4x - 4\)

The equation of the parabola is y = 0.015x^2 + 0.06x + 1

A parabola is represented as:

y = ax^2 + bx + c

The points are given as:

(-4,1), (-2,0.94) and (0,1)

When these points are substituted in y = ax^2 + bx + c, we have the following linear equations

16a - 4b + c = 1

4a - 2b + c = 0.94

c = 1

In (a), we have:

16a - 4b + c = 1

4a - 2b + c = 0.94

c = 1

Remove the variables (leaving the coefficients)

a      b       c

16    -4      1        1

4      -2     1        0.94

0      0     1          1

So, the matrix representation of the system of equations is:

\(\left[\begin{array}{ccc}16&-4&1\\4&-2&1\\0&0&1\end{array}\right] \left[\begin{array}{c}1&0.94&1\end{array}\right]\)

Using a graphing calculator, we have the inverse of the coefficient matrix to be

\(\left[\begin{array}{ccc}0.125&-0.25&0.125\\0.25&-1&0.75\\0&0&1\end{array}\right]\)

Using a graphing calculator, we have the solution to the system of equations to be

a = 0.015

b = 0.06

c = 1

Recall that:

y = ax^2 + bx + c

So, we have:

y = 0.015x^2 + 0.06x + 1

Hence, the equation of the parabola is y = 0.015x^2 + 0.06x + 1

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Answer:

33.75km

Step-by-step explanation:

if 1L covers 7.5km

then 4.5L covers :

(4.5L* 7.5 km) / 1L

Answer:

900 people surveyed.

Step-by-step explanation:

To solve this problem, let's set up a proportion.

60% = 6/10

Let x represent the total amount of people surveyed (or what we are trying to find)

6/10 = 540/x

To solve this proportion, let's use cross products, or the multiplication of the numerator of one fraction times the denominator of the other fraction and setting them equal to one another.

10(540) = x(6)

Now, let's simplify the resulting equation.

5400 = 6x

Now, let's divide both sides by 6, or the coefficient of x, to get it alone on the right side of the equation.

x= 900

Therefore, if 540 people preferred walking, then 900 people were surveyed.

I. The solution to the system of equations using Gaussian elimination is x = 1, y = -1, and z = 2.

II. For the LU-decomposition method, we need to have a square coefficient matrix, which is not the case in the given system. Therefore, we cannot directly apply the LU-decomposition method.

III. For this method to converge, the coefficient matrix must be diagonally dominant, which is not the case in the given system. Therefore, the Gauss-Jacobi method cannot be directly applied either.

IV. It requires the coefficient matrix to be diagonally dominant, which is not satisfied in the given system. Hence, the Gauss-Seidel method cannot be directly used.

I. Gaussian Elimination Method:

To solve the system of linear equations using Gaussian elimination, we perform row operations to reduce the system into upper triangular form. The augmented matrix for the given system is:

| 6 2 -1 | 4 |

| 1 5 1 | 3 |

| 2 1 4 |27 |

We can start by eliminating the coefficients below the first element in the first column. To do this, we multiply the first row by a suitable factor and subtract it from the second and third rows to eliminate the x coefficient below the first row. Then, we proceed to eliminate the x coefficient below the second row, and so on.

After performing the necessary row operations, we obtain the following reduced row-echelon form:

| 6 2 -1 | 4 |

| 0 4 2 | -1 |

| 0 0 3 | 6 |

From this form, we can easily back-substitute to find the values of x, y, and z. We have z = 2, y = -1, and x = 1.

II. LU-Decomposition Method:

LU-decomposition is a method that decomposes a square matrix into a product of two matrices, L and U, where L is lower triangular and U is upper triangular.

III. Gauss-Jacobi Method:

The Gauss-Jacobi method is an iterative numerical method to solve systems of linear equations.

IV. Gauss-Seidel Method:

Similar to the Gauss-Jacobi method, the Gauss-Seidel method is an iterative method for solving linear systems.

Therefore, out of the four methods mentioned, only the Gaussian elimination method can be used to solve the given system of linear equations.

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Using the Intersecting secants theorem, the length of JK in the given diagram is 17

From the question, we are to determine the length of JK in the given diagram.

The diagram shows a circle with intersecting secants.

From the Intersecting secants theorem which states that "if two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment".

Then,

We can write that

JK × KL = NM × ML

From the given diagram,

KL = 14

NM = 14

ML = 17

Substituting the values

JK × 14 = 14 × 17

JK = (14 × 17) / 14

JK = 17

Hence, the length of JK is 17

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Answer:

hopefully this helps :] 16th line down I think

Step-by-step explanation:

Improper fractions have a numerator that is larger than the denominator

1 = 6/6

 so  1  1/6  = 7/6

Answer:

x = -1

Step-by-step explanation:

first, create a formula or expression:

7x - 2 = 10x + 1

now, move the 10x, subtract it on the other side

-3x - 2 = 1

add 2

-3x = 3

divide by -3

x = -1

you can substitute it in to check

Candy spends £2.65, has 2/3 left and Candy has £7.95 money to start with.

Given that Candy spends £2.65 and has 2/3 of the initial amount left, we are required to find how much money Candy has to start with.

Solution:Let the initial amount of money Candy has be x.

Then, the amount of money spent by Candy = £2.65

Amount of money left with Candy = 2/3 of the initial amount

∴ Money left = 2/3 × x

Amount of money spent + money left = initial amount of money

Candy spends £2.65:2/3 of the initial amount left

= £ (x - 2.65)∴ 2/3 × x

= x - 2.65⇒ 2x/3

= x - 2.65⇒ 2x

= 3x - 7.95⇒ 3x - 2x

= 7.95⇒ x = 7.95

Hence, Candy has £7.95 to start with.

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A salary slip for the month of March 2023 with information given below.

Salary Slip - March 2023

Employee Details:

Name: [Employee Name]

Employee ID: [Employee ID]

Designation: [Employee Designation]

Earnings:

Basic Salary: [Basic Salary]

House Rent Allowance (HRA): [HRA]

Dearness Allowance (DA): [DA]

Incentive: [Incentive]

Total Earnings: [Total Earnings]

Deductions:

Provident Fund (PF): [PF]

Insurance: [Insurance]

Loss of Pay (LOP): [LOP]

Total Deductions: [Total Deductions]

Net Pay: [Net Pay]

Breakdown:

Basic Salary: 50% of CTC (18L) = [Basic Salary]

HRA: 20% of Basic Salary = [HRA]

DA: 12% of Basic Salary = [DA]

Incentive: 75% of target completion = [Incentive]

Total Earnings = Basic Salary + HRA + DA + Incentive = [Total Earnings]

PF: 12% of Basic Salary = [PF]

Insurance: Rs. 2500 = [Insurance]

LOP: [LOP]

Total Deductions = PF + Insurance + LOP = [Total Deductions]

Net Pay = Total Earnings - Total Deductions = [Net Pay]

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The standard deviation of the difference in means is (-1.96, 1.96).  There is no significant difference between coverage speed at 95%

The speed characteristics are given as_

\($$ \begin{aligned}\bar{x}_1 & =35.5 & \bar{x}_2 & =38.7 \\\sigma_1 & =7.5 & \sigma_2 & =7.4 \\n_1 & =250 & n_2 & =280\end{aligned}$$\)

The standard deviation is a summary measure of the differences of each observation from the mean. If the differences themselves were added up, the positive would exactly balance the negative and so their sum would be zero.

So

\($$\begin{aligned}z=\frac{\overline{x_1}-\bar{x}_2}{\sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}} & =\frac{35.5-38.7}{\sqrt{\frac{(7.5)^2}{250}+\frac{(7.4)^2}{280}}} \\& =\frac{-3.2}{\sqrt{0.225+0.1956}} \\& =\frac{-3.2}{0.64852} \\\z & =-4.9343\end{aligned}$$\)

at 95% confidence acceptance region is: \($$(-1.96,1.96)\)

But \($z \notin(-1.96,1.96)$\)

So, there is no significant difference between coverage speed at 95%.

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The standard deviation of the difference in means is 0.4696 and acceptance region is (-1.96 , 1.96). So, there was no significant difference between the average speed sample data at the 95% confidence level.

Speed data was collected on a section of road during and after repair work. Now the significance level for mean rate = 95% = 0.95 The equation for the standard deviation of the mean difference is:

σd = √(σ₁²/n₁ + σ₂²/n₂).

For the first data sample,

Sample mean for average velocity, X₁

= 35.5 mph

sample size, n₁ = 250

standard deviation, σ₁ = 2.5 mph

sample seconds, sample mean for

average velocity, X₂ = 38.7 mph

sample size, n₂ = 280

standard deviation, σ₂ = 7.4 mph.

It is statistically significant to see if there is a difference between the two population means. Using the two sample Z =( X₁-bar - X₂-bar )/√(σ₁²/n₁) + (σ₂²/n₂)}

Substituting all known values,

Z = ( 35.5 - 38.

7 )/(2,5)²/250 + (7,4)²/280

=> Z = - 3,2/√0,025 + 0.1956

=> Z = -3.2/0.4696

=> Z = - 6.8832

95% confidence interval, tolerance range is (-1.96, 1.96). However, Z∉(-1.96 , 1.96)

So, there is no signification difference for means between avaerage speed at 95%.

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Complete question :

Speed data were collected at a section of highway during and after utility maintenance work: The speed characteristics are given as, and as shown below. Determine whether there was any significant difference between the average speed at the 95% confidence level (Z=1.96). The standard deviation of the difference in means is given as σd = √(σ₁²/n₁ + σ₂²/n₂). DATA: uav₁= 35.5 mph, uav₂= 38.7 mph ,σ₁ = 2.5 mph, σ₂= 7.4 mph n₁ = 250, n₂ = 280

Answer:

Volume ≈ 153.93804 cm^3

Rounded to the nearest whole number, the volume of the cone is approximately 154 cm^3.

Step-by-step explanation:

Note that the notation   "∪C = {x : x ∈ for some S ∈ C} = ∪ { S:S ∈ C}" represents a mathematical statement involving sets.

∪C : This represents the  union (∪) of the sets in C.

{x : x ∈ for some S ∈ C}: This is the description or definition of the elements in the set formed by the union of sets in C.

It states that an element x belongs to the union of   sets in C if and only if x belongs to at least one set S that is an   element of the set C.

= ∪{ S:S ∈ C}   : This means that the union (∪) of sets in C is equal to the union of all sets S that belong to the set C.

In summary,  the statement is saying that the union of sets in C consists of all elements that belong to at least one set in C. It is the combined collection of elements from all sets in C.

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Answer:

Step-by-step explanation:

Cost of 3 oranges = cost of 54 oranges / 18

In order to explain why -4 - 2 equals -8, let's start with the equation 0.2 = 0. By analyzing this equation, we can uncover the reason behind this seemingly counterintuitive result.

1. Begin with the equation 0.2 = 0.

2. Subtract 0.2 from both sides of the equation to isolate the variable: 0.2 - 0.2 = 0 - 0.2.

  This simplifies to 0 = -0.2.

3. Observe that the right side of the equation, -0.2, is a negative number.

4. Recall that subtracting a negative number is equivalent to adding its positive counterpart. Therefore, -0.2 is the same as +0.2.

5. Rewrite the equation as 0 = +0.2.

6. Notice that 0 on the left side of the equation is equal to 0 + 0, since any number added to zero remains unchanged.

7. Substitute 0 + 0 for 0 in the equation: 0 + 0 = +0.2.

8. Simplify the equation to 0 = +0.2.

9. Finally, recognize that a positive number cannot equal zero. Hence, the equation 0 = +0.2 is false.

10. As a result, the original equation 0.2 = 0 is invalid.

11. Therefore, the logical consequence is that any subsequent deductions based on this invalid equation would also be incorrect.

12. Consequently, -4 - 2 does not equal -8, as per the explanation derived from the flawed equation.

To summarize, by analyzing the equation 0.2 = 0, we can determine that subsequent deductions based on this equation are incorrect. Hence, -4 - 2 does not equal -8.

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Answer:

Area of a circle =  π·r²

64 =  π·r²

r²= 64/ π

r²= 20.37

r= 4.51 ft

OPTION A

Answer:

The answer is 8 guys not 4 or 4.5. It literally says on the question that its 64Pi not just 64

Step-by-step explanation:

Answer:

the action of inflating something or the condition of being inflated.

"the inflation of a balloon"

ASTRONOMY

(in some theories of cosmology) a very brief exponential expansion of the universe postulated to have interrupted the standard linear expansion shortly after the Big Bang.

2.

ECONOMICS

a general increase in prices and fall in the purchasing value of money.

"policies aimed at controlling inflation"

The resulting equation after multiplying the first equation by 2 and subtracting the second equation is:

-5y = -375

1. Given equations:

  - x + 3y = 350    (Equation 1)

  - 2x + 4y = 625   (Equation 2)

2. Multiply Equation 1 by 2:

  - 2(x + 3y) = 2(350)

  - 2x + 6y = 700    (Equation 3)

3. Subtract Equation 2 from Equation 3:

  - (2x + 6y) - (2x + 4y) = 700 - 625

  - 2x - 2x + 6y - 4y = 75

  - 2y = 75

4. Simplify Equation 4:

  -2y = 75

5. To isolate the variable y, divide both sides of Equation 5 by -2:

  y = 75 / -2

  y = -37.5

6. Therefore, the resulting equation is:

  -5y = -375

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Answer:

The value if y is -7

hope it helps you

Answer:

y = -7

Step-by-step explanation:

\(-4y = 28\)

\(\frac{-4y}{-4} = \frac{28}{-4}\)

\(y = -7\)

Answer:

4.2

Step-by-step explanation:

f varies inversly with L can be translated matimatically as:

● f = k/L

It takes 7 pounds of pressure to break a 3 feet long board.

Replace f by 7 and L by 3.

● 7 = k/3 => k=7×3=21

■■■■■■■■■■■■■■■■■■■■■■■■■■

Let's find tge length of a board that takes 5 pounds of pressure to be broken.

● 5 = k/L

● 5 = 21/L

● L = 21/5 = 4.2

So the board is 4.2 feet long

What is 888 x - 666? = -591408

\(Hello\) \(There!\)

Ummmmm... I could be wrong?

I think it is...

-591408

Hopefully, this helps you!!

\(AnimeVines\)

Answer:

Th computed value of the test statistic is 3.597

Step-by-step explanation:

The null and the alternative hypothesis is as follows:

Null Hypothesis:

\(\mathbf{H_o:}\) the population correlation coefficient is equal to zero

\(\mathbf{H_a:}\) the population correlation coefficient is not equal to zero

The test statistics for Pearson correlation coefficient is thus computed as :

\(t =\dfrac{r \sqrt{(n-2)}} { \sqrt{(1-(r)^2)} }\)

where;

r = correlation coefficient = 0.60

n = sample size = 25

So;

\(t =\dfrac{0.60 \sqrt{(25-2)}} { \sqrt{(1-(0.60)^2)} }\)

\(t =\dfrac{0.60 \sqrt{(23)}} { \sqrt{(1-0.36} }\)

\(t =\dfrac{0.60 *4.796} {0.8}\)

t = 3.597

Comparing to a critical value of t (23 degrees of freedom two-tailed value) = 2.069

Decision Rule:

Since computed value of t is greater than the critical value of t; We reject the null hypothesis and accept the alternative hypothesis.

Conclusion:

We conclude that the population correlation coefficient significantly differs from 0 at 5% (0.05) level of significance.

By solving some linear equations, we can see that Mark has 20 marbles and Don has 83 marbles, and these are the numbers they need to sell.

Let's define the variables:

We know that the linear equation:

y = 4x + 3

"If Don has 3 more than 4 times the number of marbles Mark has"

The total number of marbles is 103, then:

x + y = 103.

Then we have two linear equations:

Replacing the first equation into the second one:

x + (4x + 3)  = 103.

5x + 3= 103

5x = 100

x = 100/5 = 20

So Mark has 20 marbles and Don has 83 marbles, and these are the numbers they need to sell.

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