ILL GIVE BRAINLY TO THE BEST ANSWER

the 1560 members of the temecula community church have a method of quickly notifying members. the pastor and his secretary each call 3 members each of whom then call 3 other members, each of whom then calls 3 more members, and so on. how many rounds of calls are needed before all 1560 members are called

The solution to the linear inequality is x > 26/3, which means any value of x greater than 26/3 satisfies the original inequality.

To solve the linear inequality (1/2)x - (7/3) > 2, we can follow these steps:

Get rid of the fraction by multiplying the entire inequality by the common denominator of 2 and 3, which is 6. This gives us:

6 * [(1/2)x - (7/3)] > 6 * 2

Simplifying, we have:

3x - 14 > 12

Add 14 to both sides of the inequality:

3x - 14 + 14 > 12 + 14

Simplifying further:

3x > 26

Divide both sides of the inequality by 3:

(3x)/3 > 26/3

Simplifying once more:

x > 26/3

The solution to the linear inequality is x > 26/3, which means any value of x greater than 26/3 satisfies the original inequality.

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Answer:

3

Step-by-step explanation:

because divide Pt from both sides to get r=i/(pt)

Answer:

neither a function or a relation

Step-by-step explanation:

The graph does not pass the vertical line test, thus not a function.

In the graph, x-coordinates are not related to y-coordinates through a relation, thus not a relation.

B) The alpha value of the reliability coefficient is one way to establish the validity of a questionnaire.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign.

Here,

The alpha value of the reliability coefficient, also known as Cronbach's alpha, measures the internal consistency of a questionnaire. It indicates how well the items on the questionnaire are related to each other and form a consistent measure of the concept being assessed. A high alpha value indicates that the items on the questionnaire are measuring the same underlying concept and that the questionnaire is reliable.

Correlation between the score on the questionnaire and another measure of the same concept (Option A) and consistency by which multiple subjects are able to complete the questionnaire without error (Option D) can also provide information about the reliability of a questionnaire.

The alpha value of the reliability coefficient is one way to establish the validity of a questionnaire.

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Answer:

B

Step-by-step explanation:

O Citizens who are healthy contribute more to their communities.

( I don't think this is math related).

Answer:

0.17

Step-by-step explanation:

- 54/50 - 40/100 + 1.65  -->  given

- 108/100 - 40/100 + 1.65  -->  convert - 54/50 to over 100

- 1.08 - 0.4 + 1.65  -->  convert fractions to decimals

- 1.48 + 1.65  -->  solve

0.17  -->  answer

If this helped, pls make this answer brainliest! ;)

It helps me a lot!

Answer:

C.N x = ±√2, 0

Step-by-step explanation:

Basic Power Rule:

f(x) = cxⁿ

f’(x) = c·nxⁿ⁻¹

Critical numbers occur when f'(x) is equal to zero or undefined.

Step 1: Define function

f(x) = x⁴ - 4x²

Step 2: Find critical numbers

Answer:

91.25

Step-by-step explanation:

Answer:

58.4

Step-by-step explanation:

73:125*100 =

(73*100):125 =

7300:125 = 58.4

Now we have: 73 is what percent of 125 = 58.4

Question: 73 is what percent of 125?

Percentage solution with steps:

Step 1: We make the assumption that 125 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$.

Step 3: From step 1, it follows that $100\%=125$.

Step 4: In the same vein, $x\%=73$.

Step 5: This gives us a pair of simple equations:

$100\%=125(1)$.

$x\%=73(2)$.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{125}{73}$

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{73}{125}$

$\Rightarrow x=58.4\%$

Therefore, $73$ is $58.4\%$ of $125$.

Answer: 12

Step-by-step explanation:

Answer:

x = - 8, x = 6

Step-by-step explanation:

Given the 2 equations

x² + y² = 100 → (1)

y = x + 2 → (2)

Substitute y = x + 2 into (1)

x² + (x + 2)² = 100

x² + x² + 4x + 4 = 100

2x² + 4x + 4 = 100 ( subtract 100 from both sides )

2x² + 4x - 96 = 0 ( divide through by 2 )

x² + 2x - 48 = 0 ← in standard form

(x + 8)(x - 6) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 8 = 0 ⇒ x = - 8

x - 6 = 0 ⇒ x = 6

Answer:

x=4, y=-2

Step-by-step explanation:

Answer:

x = 4

y = - 2

Step-by-step explanation:

3x + 8y = - 4

2x - 4y = 16                 Multiply the second equation by 2 and add it to the 1st

3x + 8y = - 4

4x - 8y = 32               Add

7x = 28                      Divide by 7

7x/7 = 28/7

x = 4

2x - 4y = 16              Substitute 4 for x

2*4 - 4y = 16            Combine  

8 - 4y = 16                Subtract 8 from both sides

-4y = 16 - 8

-4y = 8                     Divide by -4

y = 8/-4      

y = - 2

The two consecutive integer numbers are 11 and 12, and the inequality is:

11 < √134  < 12

Here we just need to find two integers x and y, such that:

x^2 < 134

134 < y^2

Such that x and y are also consecutive, so y = x + 1.

Then we can write the inequality:

x < √134 < y

The numbers are:

11*11 = 121 (the smaller integer)

12*12 = 144 (the larger integer).

Then the complete inequality is:

11 < √134  < 12

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It takes approximately 1.2 minutes to move the cans to the storage area when both conveyor belts are used.

We can begin the problem by using the formula:

work = rate x time

Let's denote the rate of the first belt as R1 and the rate of the second belt as R2. Then, we can write:

R1 = 200 pounds / 2 minutes = 100 pounds per minute

R2 = 200 pounds / 3 minutes ≈ 66.67 pounds per minute

When both belts are used, they work together to move the same 200 pounds of cans. Therefore, we can add their rates to get the total rate:

R = R1 + R2 = 100 + 66.67 = 166.67 pounds per minute

To find the time it takes to move the cans to the storage area, we can rearrange the formula:

time = work / rate

The total work is 200 pounds, so we have:

time = 200 pounds / 166.67 pounds per minute ≈ 1.2 minutes

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Answer:

it should be a=60 and 2a=120

Step-by-step explanation:

what I did was split the rhombus in half and because making two triangles and because there is no right angle, I figured the top angle had to be 60 making the base angles 60 as well, the adding both triangle base angles I got 120, I'm not the best at explaining it but the answer is correct.

Answer:

(3, 0) and (-1, -8)

Step-by-step explanation:

Equation 1

Substituting the value of y in Equation 2

Taking x = 3

Taking x = -1

Solutions

They’re the same.

Give them common denominators by looking at their least common multiples. 6 and 21 are the denominators and they have to be the same to compare. Their least common multiple is 42.

So 1 4/6 will turn into 1 28/42. I know this because their least common multiple is 42. So I multiplied the 6 by 7 to get 42 as the denominator and you must also multiply the numerator by 6.

1 14/21 will need to be multiplied by 2 to get a denominator of 42. It will turn into 1 28/42. Both simplify down to 1 2/3.

Answer:

The are the same.

Step-by-step explanation:

Because both begin with a 1, ignore that for now.

You have 4/6 and 14/21. Do your best to reduce each. Think about a number that can go into each.

Start with 4/6. They are both even numbers, so 2. 4/2 =  2 and 6/2 = 3

so 4/6 can be reduced to 2/3.

14/21 is trickier, one is odd and the other is even, so no even number will work. 3 can't go in to 14, or 5, but 7 can, and cool! 7 can go in to 21 as well!

14/7 = 2   21/7 = 3    so 14/21 can be reduced to 2/3!

You can also use a common denominator, but you need a calculator for this problem. To solve that way you would take 4/6 and multiply by 21/21 and you would multiply 14/21 by 6/6, this way you'll end up with 126 on the bottom, and you'll see you get 84 on the top.

\(\frac{4}{6} * \frac{21}{21} = \frac{84}{124}\)

\(\frac{14}{21} * \frac{6}{6} = \frac{84}{124}\)

This is much harder without a calculator. Always try and reduce first, because if you end up having to find a common denominator, it will be smaller and more manageable.

Addressing issue hand, we state that Therefore, the linear equation solution to the system of equations is: x = 0.5, y = 0.1667, z = -0.5 and x = 0.500, y = 0.167, z = -0.500

In algebra, a linear equation refers to one with its form y=mx+b. B is the gradient, and m is the esta. The preceding clause is commonly referred to as a "linear function with two variables" so even though y and x are variables. Bivariate linear equations are linear equations with two variables. There are several linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. When an equation seems to have the structure y=mx+b, where m is the slope and b is the y-intercept, it is said to be linear. When a measurement seems to have the formula y=mx+b, both with m identifying its slope and b denoting the y-intercept, it is said to be linear.

values of x, y, and z, we can use the system of equations

3x - 2y + z = 1

2x + y - z = 0

x + 2y + 3z = -1

We can use Gaussian elimination or any other suitable method to solve the system. Here's one way to do it:

3x - 2y + z = 1          (eq. 1)

2x + y - z = 0           (eq. 2)

x + 2y + 3z = -1         (eq. 3)

       3x - 2y + z = 1          (eq. 1)

       0.6667x + 1.3333y - 1.3333z = -0.6667    (eq. 2')

       -0.3333y + 2.3333z = -1.3333    (eq. 3')

       3.3333x - 0.3333z = 0.1667    (eq. 1')

       0.6667x + 1.3333y - 1.3333z = -0.6667    (eq. 2')

       2.1667z = -1.0833    (eq. 3')

       z = -0.5

       y = 0.1667

       x = 0.5

Therefore, the solution to the system of equations is:

x = 0.5, y = 0.1667, z = -0.5

x = 0.500, y = 0.167, z = -0.500

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Answer:

whatever x is, you will half it and subtract 2

x: 4 y:0

x:6 y:1

x:8 y:2

x:10 y:3

The Bootstrap Method is straightforward and straightforward to comprehend. First, it chooses randomly from the original sample to produce bootstrap samples from our initial sample.

After that, it uses summary statistics like variation, standard deviation, mean, and so on to get replicates, which is how we can calculate a confidence interval from that sample.

Thus, the answer is "Yes."

The bootstrap method is a resampling method that uses replacement sampling to estimate population statistics. It can be used to estimate standard deviation and mean summaries.

Remember that bootstrapping isn't only valuable for computing standard blunders, it can likewise be utilized to build certainty spans and perform speculation testing. When working with data that doesn't seem to lend itself to conventional methods, always remember bootstrapping techniques.

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Full Question = We want to find a 95% confidence interval for the standard deviation of a large dataset, given a sample.

Can the bootstrap method be used?

Group of answer choices

yes

no

Answer:

y = \(\frac{2}{3}\)

Step-by-step explanation:

given y is inversely proportional to \(\sqrt{x+4}\) , then the equation relating them is

y = \(\frac{k}{\sqrt{x+4} }\) ← k is the constant of proportionality

to find k use the condition when x = 5, y = 2

2 = \(\frac{k}{\sqrt{5+4} }\) = \(\frac{k}{\sqrt{9} }\) = \(\frac{k}{3}\) ( multiply both sides by 3 )

6 = k

y = \(\frac{6}{\sqrt{x+4} }\) ← equation of proportion

when x = 77 , then

y = \(\frac{6}{\sqrt{77+4} }\) = \(\frac{6}{\sqrt{81} }\) = \(\frac{6}{9}\) = \(\frac{2}{3}\)

The most appropriate choice for proportionality will be given by - When x = 77, y = 6

What is proportionality?
Suppose there are two quantities. Proportionality indicates that if there is a change in the value of one quantity, the value of other quantity also changes but maintaining a constant ratio Proportionality can be direct or inverse Direct proportion. Two quantities are said to be in direct proportion if on increasing the value of one quantity, the value of other quantity also increases and vice versa.

For example cost of a commodity and quantity of a commodity are in direct proportion Inverse proportion Two quantities are said to be in inverse proportion if on increasing the value of one quantity, the value of other quantity decreases and vice versa.
For example Number of men and number of days taken by those men to complete a job.
Here, y is inversely proportional to \(\sqrt{x+4}\)
So, \(y = k\sqrt{x+4}\) where k is a constant known as constant of proportionality
When x = 2, y = 5Putting the value one quantity, the value of other quantity decreases and vice versa.
For example Number of men and number of days taken by those men to complete a job.
Here, y is inversely proportional to \(\sqrt{x+4}\)
So, \(y = k\sqrt{x+4}\) where k is a constant known as constant of proportionality
When x = 2, y = 5
Putting the value of x and y in the above equation,
\(2 = k\sqrt{5+4}\\2 = k\sqrt{9}\\3k = 2\\k = \frac{2}{3}\)
So,\(y = \frac{2}{3}\sqrt{x+ 4}\)
When x = 77
\(y = \frac{2}{3}\sqrt{77+4}\\y = \frac{2}{3}\sqrt{81}\\y = \frac{2}{3} \times 9\\y = 6\).

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Answer:

(8/3, ∝)

Step-by-step explanation:

Definition

The Mean Value Theorem states that for a continuous and differentiable function \(f(x)\) on the closed interval [a,b], there exists a number c from the open interval (a,b) such that \(\bold{f'(c)=\frac{f(b)-f(a)}{b-a}}\)

Note:

A closed interval interval includes the end points. Thus if a number x is in the closed interval [a, b] then it is equivalent to stating a ≤ x ≤ b.

An open interval does not include the end points so if x is in the open interval (a, b) then a < x < b

This distinction is important

The function is \(y = f(x)=\ln\left(3x-8\right)\)

Let's calculate the first derivative of this function using substitution and the chain rule

Let

\(u(x) = 3x-8\\\\\frac{du}{dx} = \frac{d}{dx}(3x-8) = \frac{d}{dx}(3x) - \frac{d}{dx}8 = 3 - 0 =3\\\\\)

Substituting in the original function f(x), we get

\(y = ln(u)\\\\dy/du = \frac{1}{u}\)

Using the chain rule

\(\frac{dy}{dx}=\frac{dy}{du}.\frac{du}{dx}\)

We get

\(\frac{dy}{dx}=\frac{1}{u}3=\frac{1}{3x-8}3=\frac{3}{3x-8}\)

This has a real value for all values of x except for x = 8/3 because at x = 8/3, 3x - 8 = 0 and division by zero is undefined

Now \(ln(x)\) is defined only for values of x > 0. That means 3x-8 > 0 ==> 3x > 8 or x > 8/3

There is no upper limit on the value of x for ln(x) since ln(x) as x approaches ∝ ln(x) approaches  ∝ and  as x approaches ∝ 3/(3x-8) approaches 0

So the interval over which the mean theorem applies is the open interval (8/3, ∝)

At x = 8/3 the first derivative does not exist

Graphing these functions can give you a better visual representation

Answer:

Step-by-step explanation:

1. Since we know that Lila wants to use 1 cup of pretzels, we can multiply 1/2 x 1/2, which is 1.

2. Now that we multiplied 1/2 by 1/2, we have to multiply 1 1/4 by 1/2.

So 5/4 x 1/2 is 5/8.

3. Lila will need 5/8 cups of raisins.

Burger Quick, because it has a larger median.

Burger Quick typically has more wait time because it has a larger range (30-2=28) compared to Super Fast Food (27-3=24) and also has a larger interquartile range (IQR) (24-9.5=14.5) compared to Super Fast Food (15.5-8.5=7), indicating more variability in the wait times. The fact that Burger Quick's median (15.5) is larger than Super Fast Food's median (12) reinforces this conclusion.

Therefore, the correct answer is: Burger Quick, because it has a larger median.

Answer 2: The appropriate measure of center for this data is the median, which is represented by the line in the box at 19. This is because the data is skewed, with a longer tail to the right, and the median is less sensitive to extreme values compared to the mean. Therefore, the correct answer is: The median is the best measure of center, and it equals 19.

Answer 3: The measure of variability that the charity should use to accurately represent the data is the IQR (Interquartile Range), which is the range of the middle 50% of the data. The reason for this is that the data is skewed to the right, with many values concentrated in the upper range of the data, and the IQR is less sensitive to outliers compared to the range.

The IQR for this data is 20-10=10, which represents the spread of the middle 50% of the data. Therefore, the correct answer is: The IQR of 20 is the most accurate to use, since the data is skewed.

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a)The employee's biweekly CPP contribution is $152.60. b)The employee's biweekly CPP contribution is $109.

To calculate the EI (Employment Insurance) and CPP (Canada Pension Plan) contributions for the employees, we'll use the rates for the year 2022. Let's calculate them for both cases:

a. Biweekly salary of $2800:

EI Calculation:

The EI rate for employees in 2022 is 1.58% of insurable earnings.

Biweekly Employee EI Contribution = Biweekly Salary * EI rate

= $2800 * 0.0158

= $44.24

Biweekly Employer EI Contribution = Biweekly Employee EI Contribution

CPP Calculation:

The CPP rate for employees in 2022 is 5.45% of pensionable earnings.

Biweekly Employee CPP Contribution = Biweekly Salary * CPP rate

= $2800 * 0.0545

= $152.60

Biweekly Employer CPP Contribution = Biweekly Employee CPP Contribution

b. Weekly salary of $1000:

EI Calculation:

Biweekly Salary = Weekly Salary * 2

= $1000 * 2

= $2000

Biweekly Employee EI Contribution = Biweekly Salary * EI rate

= $2000 * 0.0158

= $31.60

Biweekly Employer EI Contribution = Biweekly Employee EI Contribution

CPP Calculation:

Biweekly Employee CPP Contribution = Biweekly Salary * CPP rate

= $2000 * 0.0545

= $109

Biweekly Employer CPP Contribution = Biweekly Employee CPP Contribution

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Answer:

4 days

Step-by-step explanation:

→ Find how much in 1 day

12 ÷ 2 = 6 litres in 1 day

→ Divide by 24

24 ÷ 6 = 4 days

Answer:

Step-by-step explanation:

\(\frac{3x^3}{12x^{-2}} = \frac{x^5}{4}\)

Tyna's mistake was that , she miswrote x^-2 as x^2

Answer:

\(\boxed {\tt 9 \ meters}\)

Step-by-step explanation:

The perimeter of a square can be found by adding up all four sides.

\(p=s+s+s+s\)

Since all the sides are equal, we can also multiply the side length by 4.

\(p=4s\)

We know the perimeter is 36 meters, so we can substitute 36 m in for p.

\(36 \ m=4s\)

We want to solve for s, so we must isolate it. s is being multiplied by 4. The inverse of multiplication is division. Divide both sides of the equation by 4.

\(\frac{36 \ m }{4} =\frac{4s}{4}\)

\(\frac{36 \ m}{4}=s\)

\(9 \ m =s\)

The length of each side is 9 meters.

_______________________________________

Question:

A square has a perimeter of 36 m. What is the length of each side

_______________________________________

Given:

→perimeter of square=36m

_______________________________________

We know:

p=4×side

_______________________________________

Step by step explanation

\(p = 4x\)

\(36 = 4x\)

\(x = \frac{36}{4} \)

\(x = 9m\)

_______________________________________

⚡final answer:9m

hope it helped you:)