Find Q L
​
given this data: 23,38,56,68,82. Use the "inclusive" mellet

Answer:

the answer is 8/21

Step-by-step explanation:

to be sure that it's right 21 can't be divided by 8 and the two numbers don't have an LCD ( Least Common Denominator )

Answer:

yr answer is G. 21

log 2 (24) - log 2 (3) = log 5 (x)

log 2 (24 / 3) = log 5 (x)

log 2 (8) = log 5 (x)

log 2 (2^3) = log 5 (x)

3 × log 2 (2) = log 5 (x)

3 × 1 = log 5 (x)

3 = log 5 (x)

x = 5^3

x = 125

Answer:

Step-by-step explanation:

2(2t+3)-6(4t-4)

Multiply 2 with 2t+3 in the brackets and -6 with 4t-4,

= 4t+6-24t+24

Rearranging the equation,

= -24t+4t+24+6

= -20t+30

= -10(2t-3)

This could be the simplified form of this expression.

The number of people who waited at least 6 minutes is given as follows:

50 people.

The height of each bin of the histogram represents the number of observations of the data-set in the desired interval.

The desired outcomes for this problem are given as follows:

Hence the number of people who waited at least 6 minutes is given as follows:

20 + 15 + 10 + 5 = 50 people.

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The series 7 + 16 + 25 +34 +43 +52 + 61 is an illusration of arithmetic series

The sigma notation of the series is: \(\sum\limits^7_{n=1} {9n - 2}\)

The series is given as:

7 + 16 + 25 +34 +43 +52 + 61

The above series is an arithmetic series, with the following parameters

Start by calculating the nth term using:

a(n) = a + (n - 1) * d

This gives

a(n) = 7 + (n - 1) * 9

Evaluate the product

a(n) = 7  - 9 + 9n

Evaluate the difference

a(n) = 9n - 2

So, the sigma notation is:

\(\sum\limits^7_{n=1} {9n - 2}\)

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The profit margins (return on sales) for each division are approximately :Division A = 10.85%,Division B = 9.11% and The calculations for the year would be:Net Income = $85,428,Return on Assets = 18.9%.

To compute the profit margins (return on sales) for each division, we divide the profit by the sales and multiply by 100 to express the result as a percentage.

For Division A:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($230,000 / $2,120,000) * 100

Profit Margin ≈ 10.85%

For Division B:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($34,700 / $381,000) * 100

Profit Margin ≈ 9.11%

To calculate the net income and return on assets for Polly Esther Dress Shops Inc., we use the given information.

Net Income = Profit Margin * Sales

Net Income = 7% * $1,220,400

Net Income = $85,428

Return on Assets = Profit Margin * Asset Turnover

Return on Assets = 7% * 2.7

Return on Assets = 18.9%

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Answer: 1.8 L/h

Step-by-step explanation:

To convert the rate of water dripping from a tap from millilitres per second (ml/sec) to litres per hour (L/h), we need to use conversion factors.

Step 1:

First, let's convert the rate from millilitres per second to litres per second.

There are 1000 millilitres in a litre, so we can divide the rate in millilitres per second by 1000 to get the rate in litres per second:

\(\LARGE \boxed{\textsf{0.5 ml/sec $\div$ 1000 = 0.0005 L/sec}}\)

Step 2:

We can convert the rate from litres per second to litres per hour. There are 3600 seconds in an hour, so we can multiply the rate in litres per second by 3600 to get the rate in litres per hour:

\(\LARGE \boxed{\textsf{0.0005 L/sec $\times$ 3600 = 1.8 L/h}}\)

Therefore, the rate of water dripping from the tap is 1.8 L/h.

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£45.84

Assuming that's 7.5%

64.77% of a given amount remains after 900 years.

To determine the percentage of radioactive radium remaining after 900 years, we'll use the half-life formula:

Final Amount = Initial Amount * \(1/2^{(time elapsed / half-life)}\)

In this case, the half-life is 1599 years and the time elapsed is 900 years. We want to find the percentage remaining, so let's assume the initial amount is 100%.

Final Amount = 100 * \((1/2)^{(900 / 1599)}\)

Now, we'll calculate the exponent:

Exponent = 900 / 1599 ≈ 0.5635

Then, we'll compute the final amount:

Final Amount ≈ 100 * \((1/2)^{0.5635}\) ≈ 100 * 0.6477 ≈ 64.77%

After 900 years, approximately 64.77% of the initial radioactive radium remains. This percentage was found using the half-life formula, which accounts for the exponential decay of radioactive substances over time.

The formula shows how the remaining amount of a substance decreases as time progresses based on its half-life, which is the time it takes for half of the substance to decay. In this scenario, radium's half-life of 1599 years and the 900-year time frame were used to determine that roughly 64.77% of the initial radium remains.

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Answer:

Step-by-step explanation: I got 14.4 but I might be wrong and im sorry if I am

Question 1: The item not included in the cost of merchandise inventory is "Purchase discounts."

2: The total cost of the merchandise is $3,332.00.

5: The company's gross margin and operating expenses, are $211,000 and $191,720.

Merchandise inventory expenses normally consist of the price paid for the inventory, deductions from the purchase price resulting from purchase returns and allowances, and freight expenses paid by the purchaser.

Although purchase discounts reduce the cost of merchandise inventory, they are not considered part of it. Instead, they are treated as a distinct discount in the accounting records.

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You should expect to spend $26 to win $100 playing this casino game.

This is a classic example of a geometric distribution, where each trial has two possible outcomes (win or lose) and the probability of winning remains constant at 1/13 (4 kings in a deck of 52 cards) across all trials.

The expected number of trials to win is 13, so the expected cost to win is 13 times the cost per trial, which is $2, giving an expected cost of $26. Note that this is the expected cost, not the guaranteed cost, and it is possible to spend more or less than $26 before winning.

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The general solution of equation y''+4y=sec(2z) is

y = c₁cos2z + c₂sin2z + \(\frac{cos2z}{4}\) ln(cos2z) + \(\frac{z sin2z}{2}\).

Given differential equation is,

y'' + 4y = sec(2z)

Characteristic equation of this equation is

(D²+4)=0

⇒ D² = -4

    D =  ±2i

Therefore the roots are imaginary.

D₁=2i ⇒ y₁ = e⁰cos2z = cos2z

D₂=-2I⇒ y₂ = e⁰sin2z = sin2z

yn= c₁cos2z + c₂sin2z

Noe to solve yp, first we need to solve Wronskian

y₁= cos2z ,   y₂=sin2z

y₁'= -2sin2z , y₂'=2cos2z

⇒ W = \(\left[\begin{array}{ccc}y1&y2\\y1'&y2'\\\end{array}\right]\) = \(\left[\begin{array}{ccc}cos2z&sin2z\\-2sin2z&2cos2z\\\end{array}\right]\)

                              = (cos2z)(2cos2z)-(-2sin2z)(sin2z)

                              = 2cos²2z + 2sin²2z

                              =2 (cos²2z + sin²2z)

                              = 2 ≠ 0

yp = - y₁\(\int\ {\frac{y2 g(z)}{W} } \, dz\) + y₂\(\int\ {\frac{y1 g(z)}{W} } \, dz\)

    = -(cos2z)\(\int\ {\frac{(sin2z)(sec2z)}{2} } \, dz\) + (sin2z)\(\int\ {\frac{(cos2z)(sec2z)}{2} } \, dz\)

    = - (cos2z)\(\int\ {\frac{sin2z/cos2z}{2} } \, dz\) + (sin2z)\(\int\ {\frac{cos2z/cos2z}{2} } \, dz\)

    = - \(\frac{cos2z}{2}\)\(\int\ {tan2z} \, dz\) + \(\frac{sin2z}{2}\)\(\int\ \,dz\)

    =  - \(\frac{cos2z}{2}\)(-\(\frac{1}{2}\) ln (cos2z)) + \(\frac{sin2z}{2}\) (z)

    =  \(\frac{cos2z}{4}\)ln(cos2z) + \(\frac{zsin2z}{2}\)

Now the general equation will become

y = yn + yp

y = c₁cos2z + c₂sin2z +\(\frac{cos2z}{4}\)ln(cos2z) + \(\frac{zsin2z}{2}\)    .

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To solve the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0, we can use algebraic methods and the unit circle to determine the values of x that satisfy the equation.

1. Start by rearranging the equation to a quadratic form: \(6sin^2(x)\) + 6sin(x) + 1 = 0.

2. Notice that the equation resembles a quadratic equation in terms of sin(x). Let's substitute sin(x) with a variable, such as u: \(6u^2\) + 6u + 1 = 0.

3. Solve this quadratic equation for u. You can use the quadratic formula or factorization methods to find the values of u. The solutions are u = (-3 ± √3) / 6.

4. Since sin(x) = u, substitute back the values of u into sin(x) to obtain the values for sin(x): sin(x) = (-3 ± √3) / 6.

5. To find the values of x, we can use the inverse sine function. Take the inverse sine of both sides: x = arcsin[(-3 ± √3) / 6].

6. The arcsin function has a range of [-π/2, π/2], so the values of x lie within that range. Use a calculator to find the approximate values of x based on the values obtained in step 5.

7. Plot the obtained x-values on the graph to show the solutions of the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0. The graph will illustrate the points where the curve intersects the x-axis.

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When the consumption schedule lies below the 45-degree reference line, it means that at every level of income, people are consuming less than their income.

The consumption schedule represents the relationship between income and consumption in an economy, while the 45-degree reference line represents the line where income and consumption are equal.

In this scenario, saving occurs because people are not spending all of their income. The difference between their income and consumption is their savings. Thus, the amount of saving in the economy will increase as the consumption schedule moves further below the 45-degree reference line.

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When the consumption schedule lies below the 45-degree reference line, saving what does it means?

The new temperature would be 8 when the temperature is -4 and rises by 12.

Addition is a fundamental mathematical operation that is used to join two or more numbers or quantities. It entails calculating the sum of two or more values.

The sign "+" represents the procedure.

For example, adding 2 and 3 yields a total of 5, which is expressed as:

2 + 3 = 5

As per the question, If the temperature starts at -4 and rises by 12, we need to add 12 to the starting temperature to find the new temperature.

So, the new temperature would be:

-4 + 12 = 8

Therefore, the new temperature would be 8.

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The amount of money that the pool manager paid for each item are as follows;

chlorine tablets: $54.

pH test kit: $6.6.

In this scenario and exercise, we would determine the sales price after a discount of 40 percent is applied to the total cost of the two items as follows;

Discount of 40% off = 100 - 50

Discount of 40% off = 60%

Next, we would calculate 50 percent of the original price of of each item as follows;

New sales price for chlorine tablets = 60/100 × 90

New sales price for chlorine tablets = 0.6 × 90

New sales price for chlorine tablets = $54.

New sales price for pH test kit = 60/100 × 11

New sales price for pH test kit = 0.6 × 11

New sales price for pH test kit = $6.6.

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Answer:

f(0)=1

Step-by-step explanation:

The question asks us to find f(0). We want to find what f(x), or y is, when x is equal to 0.

f(x)=3^x

Therefore, we can substitute 0 in for x.

f(0)=3^0

Evaluate the exponent, 3^0.

Any number raised to the power of zero is equal to 1.

f(0)=1

Answer:

1

Step-by-step explanation:

f(0) = 3^0

f(0) = 1

anything to the 0th power = 1

Answer:

Identity Property of Addition

Step-by-step explanation:

The identity property of addition says that the sum of 0 and any number is that number. This is true because the definition of 0 is "no quantity", so when we add 0 to -b, the quantity of -b doesn't change!

Answer:

B

Step-by-step explanation:

The centre is at the midpoint of the endpoints of the diameter.

Using the midpoint formula, then

centre = ( \(\frac{-4+2}{2}\), \(\frac{1+1}{2}\) ) = (- 1, 1 ) → B

Answer:

x=-2 y= -5

x=-1 y=-3

x=0 y=-1

x=1 y=1

x=2 y=3

x=3 y=5

Step-by-step explanation:

Answer:

Zyndy is 14, Vyndel is 7.

Step-by-step explanation:

Let Zyndy's age be represented by 'z', and Vyndel's age be represented by 'v'.

Zyndy is twice the age of Vyndel, so z=2v

The sum of their age is twenty-one, so z+v=21

Sub the first equation above into the second to get:

2v+v=21

3v=21

v=7

Knowing v=7, we can say z=2(v)=14.

Answer:

You would've gotten 2 questions wrong to score a 90%.

Step-by-step explanation:

   </3 PureBeauty

Answer:

18

Step-by-step explanation:

20×90/100

here u go fffffcv

The absolute value of x minus one is equal to two. Therefore, x must be either one greater than two (x = 3) or one less than two (x = 1).

One less than x results in a value of two in absolute terms. As a result, x minus 1 has an absolute value of 2, which is a positive number. The separation of an integer from zero is its absolute value. As a result, x minus 1 is two units from zero in absolute terms. As x minus one has an absolute value of two, its real value must either be two or a negative two. That is to say, x must either be one more than two (x = 3) or one less than two (x = 1).In order to confirm this, let's look at a few examples. If x = 3, then |x - 1| = |2 - 1| = |1| = 1 which is not equal to two. Therefore, x = 3 is not the answer we are looking for. On the other hand, if x = 1, then |x - 1| = |1 - 1| = |0| = 0 which is not equal to two. Therefore, x = 1 is also not the answer we are looking for. The only two possible solutions for the equation |x - 1| = 2 are x = 3 and x = 1. Therefore, the result of |x - 1| = 2 is that x must be either one greater than two (x = 3) or one less than two (x = 1)

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The proportion of the variation in the values of a response y that is explained by the least-squares regression of y on x is: square of correlation coefficient.

What is square of correlation coefficient?

A helpful number in linear regression is the square of the correlation coefficient, or r2.

The percentage of the variance in one variable that can be partially explained by another variable is represented by this value.

The summary table in the Regression output contains the "R" value, which is the coefficient of correlation.

Coefficient of determination is another name for R square. To calculate R squared, multiply R by R.

The square of the correlation coefficient is what is meant by the term "coefficient of determination."

Hence, the proportion of the variation in the values of a response y that is explained by the least-squares regression of y on x is: square of correlation coefficient.

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Answer:

x=10, y=24

\(\left(34-y\right)^2+y^2=676\)

Step-by-step explanation:

Answer:

x = 10 and y = 24

Step-by-step explanation:

Perimeter of triangle = sum of the 3 sides of the triangle

:. x + y + 26 = 60

x + y = 60 - 26

x + y = 34 ---- (1)

From Pythagoras theorem,

x² + y² = 26²

x² + y² = 676 ---- (2)

From equation (1): y = 34 - x

:. x² + (34 - x)² = 676

x² + 1,156 - 68x + x² = 676

x² + x² - 68x + 1,156 - 676 = 0

2x² - 68x + 480 = 0

x² - 34x + 240 = 0

(x² - 24x) - (10x + 240) = 0

x(x - 24) -10(x - 24) = 0

(x - 24)(x - 10) = 0

x = 24 or 10

y = 34 - x

y = 34 - 10 = 24

:. x = 10 and y = 24

The values for numbers #21 through #26 are as follows:

#21: 2.33% or 0.0233. #22: $56.4842. #23: 1.85% or 0.0185. #24: $56.4148. #25: 3.64% or 0.0364. #26: $57.4397

#21: 2.33% (arithmetic mean as a fraction: 0.0233)

#22: $56.4842 (result of the calculation)

#23: 1.85% (geometric mean as a fraction: 0.0185)

#24: $56.4148 (result of the calculation)

#25: 3.64% (continuous mean as a fraction: 0.0364)

#26: $57.4397 (result of the calculation)

To fill out numbers #21 through #26, we need to calculate the values for each term using the given information and convert the percentages to fractions.

#21: The arithmetic mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #21 = 2.33% = 0.0233.

#22: Multiply the starting price ($53.07) by the compound factor (1 + arithmetic mean)^3. Substitute the value of #21 into the calculation. Therefore, #22 = $53.07 x (1 + 0.0233)^3 = $56.4842.

#23: The geometric mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #23 = 1.85% = 0.0185.

#24: Multiply the starting price ($53.07) by the compound factor (1 + geometric mean)^3. Substitute the value of #23 into the calculation. Therefore, #24 = $53.07 x (1 + 0.0185)^3 = $56.4148.

#25: The continuous mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #25 = 3.64% = 0.0364.

#26: Multiply the starting price ($53.07) by the continuous factor e^(continuous mean x 3). Substitute the value of #25 into the calculation. Therefore, #26 = $53.07 x e^(0.0364 x 3) = $57.4397.

Hence, the values for numbers #21 through #26 are as calculated above.

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