Maxine spent 12 hours doing her homework last week. This week she spent 18 hours doing homework. She says that she spent 167% more time doing homework this week. Is she correct? Show your work to justify your decision

Answer:

±1, ±2, ±2/3, ±1/3

or

1,2,2/3,1/3,-1,-2,-2/3,-1/3

Step-by-step explanation:

Start by listing all the factors of the y intercept (in this case 2)

1,2

Then list out all the factors of the coefficent with the highest degree (3 in this case)

1,3

You're then supposed to divide all possible pairs

so all the possible zeroes are

±1, ±2, ±2/3, ±1/3

The percentage of the data values in the box-and-whiskers plot, that are greater than or equal to 92, which is the 75th percentile, based on the five number summary, are 25 percent of the data.

The five number summary of a box-and-whiskers plot are value of the minimum, the first quartile, the median, the third quartile and the maximum value of the set of data.

Please find attached the possible box-and-whiskers plot in the question, obtained from a similar question on the internet

The five number summary from the box-and-whiskers plot are;

Minimum value = 82

The first quartile or the 25th percentile = 87

The median, second quartile or the 50th percentile = 90

The third quartile or the 75th percentile = 92

The value 92 on the data represents the 75th percentile, therefore, the percentage of the data that are greater than or equal to 92 are; 100 - 75 = 25 percent

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The simplified form of the expression –9.2(8x – 4) + 0.7(2 – 6.3x) is:

–78.01x + 38.2.

To simplify the expression –9.2(8x – 4) + 0.7(2 – 6.3x), we start by applying the distributive property.

First, we distribute –9.2 to the terms inside the first parentheses:

–9.2(8x – 4) = –9.2 * 8x + –9.2 * (-4) = –73.6x + 36.8

Next, we distribute 0.7 to the terms inside the second parentheses:

0.7(2 – 6.3x) = 0.7 * 2 + 0.7 * (-6.3x) = 1.4 – 4.41x

Now, we combine the simplified terms:

–73.6x + 36.8 + 1.4 – 4.41x = –73.6x – 4.41x + 36.8 + 1.4

Finally, we combine like terms:

–73.6x – 4.41x + 36.8 + 1.4 = –78.01x + 38.2

Therefore, the simplified expression is –78.01x + 38.2.

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For sample of employee’s age and the number of sick days the employee takes per year, the 95% confidence interval for the average number of sick days an employee will take per year, the 47 employee is equals to the (0.81, 6.81).

The estimated regression line for model of number of sick days the employee takes per year days is Sick Days = 14.310162 − 0.2369(Age)

Prediction for avg no. of sick days for employee aged 47, \(\bar X = 14.310162 - 0.2369 × Age\)

= 14.310162 - 0.2369 × 47

= 3.175862 = 3

Sample size, n = 10

Sample error, SE = 1.682207

So, standard deviations, s =

\(SE× \sqrt{n} = 1.682207 × \sqrt{10}\) = 5.31960

Number of degree of freedom, df = 10 - 1 = 9

Level of significance, α = 0.05 and α/2 = 0.025

Based on the provided information, the critical value for α = 0.05 and df = 9 ( degree of freedom) is equals to the 2.262. Now, the 95% confidence interval is written as, \(CI = \bar X ± \frac{ t_c × s}{\sqrt{n}}\).

Substitutes all known values in above formula, \(CI = 3 ± \frac{ 2.262 × 5.31960}{\sqrt{10}}\)

= 3 ± 3.805152234

=> CI = (0.81, 6.81)

Hence, required confidence interval is (0.81, 6.81).

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Complete question:

The above figure complete the question.

The personnel director of a large hospital is interested in determining the relationship (if any) between an employee’s age and the number of sick days the employee takes per year. The director randomly selects ten employees and records their age and the number of sick days which they took in the previous year. The estimated regression line and the standard error are given.

Sick Days=14.310162−0.2369(Age)

se = 1.682207

Find the 95% confidence interval for the average number of sick days an employee will take per year, given the employee is 47. Round your answer to two decimal places

Answer:

I haven't learn that yet but you can try asking desmos that app or web may help you with your question!

Answer:

its true because standard deviation is the only way out to find any solution

We need to check if 13 divides (20192018 - (1-1)") + 4H0. By performing the calculations, we find that 13 does not divide (20192018 - (1-1)") + 4H0. Hence, 20192018 is not divisible by 13.

To prove that 13 divides a number "a" if and only if 13 divides (an - (1-1)") + 4H0, we need to show that both conditions imply each other
First, let's assume that 13 divides "a". This means that "a" can be written as 13k, where k is an integer. We can express this in terms of base 10 as (13k - (1-1)") + 4H0. Simplifying further, we get (13k - 1) + 4H0. Since 13 divides 13k and 13 divides 4H0, it also divides their sum. Therefore, if 13 divides "a", it also divides (an - (1-1)") + 4H0.
Next, let's assume that 13 divides (an - (1-1)") + 4H0. This means that (an - (1-1)") + 4H0 can be written as 13k, where k is an integer. Simplifying the expression, we get an - (1-1)") + 4H0 = 13k. Rearranging, we have an = 13k + (1-1)") + 4H0. Since 13 divides 13k + (1-1)") + 4H0, it also divides their sum. Therefore, if 13 divides (an - (1-1)") + 4H0, it also divides "a".
In conclusion, we have proven that 13 divides "a" if and only if 13 divides (an - (1-1)") + 4H0.
To decide whether 20192018 is divisible by 13, we can apply the result from part (a). Let's express 20192018 as (an - (1-1)") + 4H0. Since 13 divides (an - (1-1)") + 4H0, if 13 divides 20192018, it will also divide (an - (1-1)") + 4H0. Therefore, we need to check if 13 divides (20192018 - (1-1)") + 4H0. By performing the calculations, we find that 13 does not divide (20192018 - (1-1)") + 4H0. Hence, 20192018 is not divisible by 13.

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the separable differential equation dy/dx = (1/x)x\(y^{3}\), with the initial condition y(1) = 2, is given by y = \((2x^{2}) ^{1/4}\)

To solve the separable differential equation, we start by separating the variables. We can rewrite the equation as dy/\(y^{3}\) = (1/x)dx. Next, we integrate both sides of the equation. The integral of dy/\(y^{3}\) can be computed as (-1/2)\(y^{-2}\), and the integral of (1/x)dx is ln|x|. Applying these integrals, we have (-1/2)\(y^{-2}\) = ln|x| + C, where C is the constant of integration.

Now, we apply the initial condition y(1) = 2 to determine the value of C. Substituting x = 1 and y = 2 into the equation, we get (-1/2)(1/4) = ln|1| + C. Simplifying this expression gives C = -5/4.

Substituting the value of C back into the equation, we have (-1/2)\(y^{-2}\) = ln|x| - 5/4. Rearranging the equation, we get \(y^{-2}\) = -2ln|x| + 5/2. Taking the reciprocal of both sides gives \(y^{2}\) = 1/(-2ln|x| + 5/2).

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Find the unit rate: 24 water bottles ÷ 6 dollars total = $0.25 a water bottle

Next, take the rate per water bottle and multiply it by ten: $0.25 a water bottle x 10 bottles of water = $2.50 total

So, this gives you your final answer. Ten bottles of water cost you $2.50!

The total amount that Adele will have in her account at the end of the 3 years is $2,315.25.

Given that, principal=$2000, rate of interest=5% and time period=3 years.

The compound interest formula is used to calculate compound interest, sometimes known as "interest on interest". The formula for compound interest is \(A = P(1 + \frac{r}{100})^{nt}\), where P= principal balance, r= interest rate, n= number of times interest is compounded per time period and t= number of time periods.

Now, A=2000(1+5/100)³

=2000(1+0.05)³

=2000(1.05)³

=$2,315.25

Therefore, the total amount that Adele will have in her account at the end of the 3 years is $2,315.25.

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Increasing marginal productivity infers that extra units of capital and labor contribute more to yield, driving productive asset allotment. ∝ and ß < 1 expect reducing returns, adjusting with reality.

To appear that the generation work has to expand the marginal productivity of capital (in case ∝ > 1) and labor (on the off chance that ß > 1), we ought to take fractional subsidiaries with regard to each input calculation. For capital (K), the fractional subsidiary of the generation work is:

\(\dfrac{dy}{dK }= \alpha AK^{(\alpha-1)}L^\beta\)

Since ∝ > 1, (∝ - 1) is positive, which implies that the fractional subordinate \(\dfrac{dy}{dK}\) is positive. This shows that an increment in capital input (K) leads to an increment in yield (y), appearing to expand the marginal efficiency of capital.

Additionally, for labor (L), the fractional subordinate of the generation work is:

\(\dfrac{dy}{dL} = \beta AK^{\alpha}L^{(\beta-1)}\)

Since \(\mathbf{\beta > 1, (\beta-1)}\) it is positive, which implies that the halfway subordinate \(\dfrac{dy}{dL}\) is positive. This demonstrates that an increment in labor input (L) leads to an increment in yield (y), appearing to increase the marginal productivity

The economic importance of increasing marginal productivity is that extra units of capital and labor contribute more to yield as their amounts increment.  This suggests that the more capital and labor a firm employments, the higher the rate of increment in yield. This relationship is vital for deciding the ideal assignment of assets and maximizing generation effectiveness.

In most generation capacities, it is accepted that ∝ and ß are less than 1. This presumption adjusts with experimental perceptions and financial hypotheses.

In case ∝ or ß were more prominent than 1, it would suggest that the marginal efficiency of the respective factor increments without bound as the calculated input increments.

In any case, there are decreasing returns to scale, which suggests that as calculated inputs increment, the Marginal efficiency tends to diminish. Therefore, accepting ∝ and ß are less than 1 permits for more reasonable modeling of generation forms and adjusts with the concept of diminishing marginal returns.

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Answer: Yes, because 4 + 5 > 8

Step-by-step explanation: The sum of 4 + 5 must be more than 8 to be a triangle

Answer:

The answer is A) Yes, because 4 + 5 > 8

Step-by-step explanation:

I got it right loves <3

First, we will find the equation for line A, then we will see that the correct options are B and F.

A general linear equation is written as:

y = a*x + b

Where a is the slope (or rate of change) and b is the y-intercept.

If we know that the line passes through two points (x₁, y₁) and (x₂, y₂), the slope can be written as:

\(a = \frac{y_2 - y_1}{x_2 - x_1}\)

We can use that to find the slope for equation A.

I will use the points (1, 2) and (3, 10).

\(a = \frac{10 - 2}{3 - 1} = 4\)

then the equation is something like:

y = 4*x + b

To find the value of b, we can use one of the two points above, for example, if we use the first one, it means that when x = 1 we must have y = 2, then:

2 = 4*1 + b

2 - 4 = b

-2  =b

The equation for line A is:

y = 4*x - 2

Then we have:

Then the statements that are correct are:

B) "The y-intercept of Function A is less than the y-intercept of Function B."

F) "The rate of change of Function A is greater than the rate of change of Function B"

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The angle ∠DEF is equal to 90 degrees. Then the triangle ΔDEF will be a right-angle triangle.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function. The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The angle ∠DEG = 51° and angle ∠GEF = 39°.

Then prove that the triangle ΔDEF will be a right-angle triangle. Then we have

We know that if one angle of the triangle is 90 degrees then the triangle will be named a right-angle triangle.

The sum of the angle ∠DEG and ∠GEF will be

∠DEF = ∠DEG + ∠GEF

∠DEF = 51° + 39°

∠DEF = 90°

Then the triangle ΔDEF will be a right-angle triangle.

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\(on \: this \: farm \: there \: are \to \\ \underline{ \boxed{17 \: pigs }}\: \\ and \\ \underline{ \boxed{28 \:chickens}}\)

The three positive numbers whose sum is 130 and whose product is a maximum are 43.33, 43.33, and 43.34 (rounded to two decimal places), respectively.

To find three positive numbers whose sum is 130 and whose product is a maximum, we can use the AM-GM inequality, which states that the arithmetic mean of a set of non-negative numbers is always greater than or equal to the geometric mean of the same set of numbers, with equality holding only when all the numbers are equal.

Let x, y, and z be the three positive numbers we are looking for. Then, according to the AM-GM inequality, we have:

(x + y + z)/3 ≥ (xyz)^(1/3)

Multiplying both sides by 3 and cubing, we get:

(x + y + z)^3 ≥ 27xyz

Expanding the left-hand side and using the fact that x + y + z = 130, we obtain:

x^3 + y^3 + z^3 + 3(xy^2 + x^2y + yz^2 + y^2z + zx^2 + z^2x) ≥ 27xyz

Since we want to maximize the product xyz, we can assume without loss of generality that x ≤ y ≤ z. Then, we can use the fact that x + y + z = 130 to obtain the following inequality:

z ≥ 43.33

Therefore, the three positive numbers that maximize the product are approximately 43.33, 43.33, and 43.34, and their product is approximately 81,537.53.

So the three positive numbers whose sum is 130 and whose product is a maximum are 43.33, 43.33, and 43.34 (rounded to two decimal places), respectively.

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A triangle having two equal sides and angles is known as an isosceles triangle. Its equal sides are 6 cm long and make a 75o angle with one another.

A triangle having two equal sides and angles is known as an isosceles triangle. The procedures listed below can be used to build an isosceles triangle with a length of 6 cm and an angle of 75o between the two equal sides:

1. Mark the midway of each of the two 6 cm-long equal lines.

2. Draw a line between the two mid points to create the triangle's base.

3. Beginning at one of the base line's ends, use a compass to draw a 75-degree arc.

4. Create a new arc of Starting from the other end of the base line, measure 75o with a compass.

5. The third corner of the triangle will be formed by the intersection of these arcs.

6. To finish the triangle, connect its three corners with straight lines.

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The sum of the length of the overall pattern in the given cartesian coordinate is calculated as; 44

We are told that The final line on the plan is parallel to the y-axis and passes through x = -10

Now, looking at the pattern, the lengths of each side are as follows;

1.5, 2, 2.5, 3, 3.5, 4, 4.5, 5, 5.5, 6, 6.5

Thus, the sum of the length of the overall pattern is calculated as;

1.5 + 2 + 2.5 + 3 + 3.5 + 4 + 4.5 + 5 + 5.5 + 6 + 6.5 = 44

Therefore we can conclude from all the deductions and calculations above that the sum of the length of the overall pattern in the given cartesian coordinate is calculated to be; 44

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Answer:

2

6

9

Step-by-step explanation:

Because if you pay attention to our teacher he told us how to respond it!

Answer:

4

Step-by-step explanation:

you have to reverse the equation is A=lw then to get l you use l=A/w

Answer:

Divide 28 by 2

Step-by-step explanation:

When the variable of interest is multiplied by something, you undo that multiplication by dividing the equation by that something.

Here, l is multiplied by 2, so the solution is found by dividing ...

... 28 = l·2

by 2 to get ...

... 28/2 = l

That is, you divide 28 by 2 to find l.

The possible values for the missing number that make this expression the square of a binomial is 2a =  ±20

Given that , the expression is:

     x^2  ± 2ax + 100

Let us consider a binomial (x ± a)

now squaring it , we will get standard form of a quadratic expression :  

       x^2  ± 2ax + a^2

If we compare this standard form to  the expression that is given

we will get , a^2 =  100

           ⇒ a = ±10

According to the question we have to find the value of  2a which is missing in the expression.

              2a = 2×(±10) = ±20

           Hence ±20 is the answer.

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Answer:

Step-by-step explanation:

\(Opposite = r\\Hypotenuse = 13\\\alpha = 34\\Using SOHCAHTOA\\Sin \alpha = \frac{opp}{hyp} \\Sin 34 = \frac{r}{13} \\0.559 = \frac{r}{13} \\Cross \: Multiply\\r = 0.559\times 13\\r = 7.267\\r = 7.27\)

The solution to the given problem is 25/88. The solution has been obtained by applying BODMAS rule.

What is the BODMAS rule?

The letters BODMAS stand for Bracket, Of, Division, Multiplication, Addition, and Subtraction. An explanation of a mathematical expression's execution sequence is provided by the BODMAS. According to the BODMAS rule, brackets must be answered first, then powers or roots (i.e. of), Division, Multiplication, Addition, and finally Subtraction.

We are given an expression as (3/11 + 2/11) * 5/8

Now, as per the BODMAS rule, we will first solve the brackets.

On solving the brackets, we get

5/11 * 5/8

Now, on solving it further, we get

5/11 * 5/8 = 25/88

Hence, the solution to the given problem is 25/88.

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Answer:

The width and the length of the pool are 12 ft and 24 ft respectively.

Step-by-step explanation:

The length (L) of the rectangular swimming pool is twice its wide (W):

\( L_{1} = 2W_{1} \)

Also, the area of the walkway of 2 feet wide is 448:

\( W_{2} = 2 ft \)

\( A_{T} = W_{2}*L_{2} = 448 ft^{2} \)

Where 1 is for the swimming pool (lower rectangle) and 2 is for the walkway more the pool (bigger rectangle).

The total area is related to the pool area and the walkway area as follows:

\( A_{T} = A_{1} + A_{w} \)    (1)          

The area of the pool is given by:

\( A_{1} = L_{1}*W_{1} \)        

\( A_{1} = (2W_{1})*W_{1} = 2W_{1}^{2} \)  (2)          

And the area of the walkway is:

\( A_{w} = 2(L_{2}*2 + W_{1}*2) = 4L_{2} + 4W_{1} \)    (3)          

Where the length of the bigger rectangle is related to the lower rectangle as follows:                  

\( L_{2} = 4 + L_{1} = 4 + 2W_{1} \)   (4)        

By entering equations (4), (3), and (2) into equation (1) we have:

\( A_{T} = A_{1} + A_{w} \)

\(A_{T} = 2W_{1}^{2} + 4L_{2} + 4W_{1}\)                

\(448 = 2W_{1}^{2} + 4(4 + 2W_{1}) + 4W_{1}\)            

\( 224 = W_{1}^{2} + 8 + 4W_{1} + 2W_{1} \)

\( 224 = W_{1}^{2} + 8 + 6W_{1} \)

By solving the above quadratic equation we have:

W₁ = 12 ft

Hence, the width of the pool is 12 feet, and the length is:

\( L_{1} = 2W_{1} = 2*12 ft = 24 ft \)

Therefore, the width and the length of the pool are 12 ft and 24 ft respectively.

I hope it helps you!                                                                                          

Answer:

25

Step-by-step explanation:

y = 10 x - 3 z

yeah-ya........ right?

The difference of squares for the expression \(x^{2}\) + 11 does not yield any complex factors.

The difference of squares is a factorization technique used to factorize quadratic expressions of the form \(a^2 - b^2\). However, in the case of the expression x^2 + 11, it cannot be factorized using the difference of squares method to obtain complex factors.

To understand why, let's consider the general form of the difference of squares:\(a^2 - b^2\)= (a + b)(a - b). In this case, a is x and b is the square root of 11. However, since the square root of 11 is an irrational number, it cannot be expressed as a simple product of complex numbers. Therefore, the expression \(x^{2}\) + 11 cannot be factored into complex factors using the difference of squares method.

In conclusion, the expression \(x^{2}\)+ 11 does not have complex factors that can be obtained through the difference of squares factorization technique.

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We have the function:

We must identify the function that:

0. reflects the function across the y-axis,

1. shift it 6 units up.

1) To reflect the function across the y-axis we replace x by -x:

2) To shift the result 6 units up, we sum +6 on the right side:

Plotting both functions, we get:

Answer

Second option

This means that the expressions can be simplified in such a way that they have the same final form.Expression 1:4(3x + 4x) = 12x + 16x = 28xExpression 2:12x + 16x = 28xThus, the two expressions are equivalent since they both have the same value of 28x, and they have the same simplified form.

Two expressions are considered equivalent if they have the same value for every possible value of the variable(s) involved. In this case, we have expression 1: 4(3x + 4x) and expression 2: 12x + 16x.

To demonstrate their equivalence, we can simplify expression 1 by distributing the 4: 4(3x + 4x) becomes 12x + 16x, which is equal to expression 2.

Therefore, both expressions are equivalent because they simplify to the same form, namely 28x. This means that regardless of the value of x, the two expressions will yield the same result, confirming their equivalence.

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Answer:

50

Step-by-step explanation: