Look at the screenshot

m = (y2-y1)/(x2-x1)

m = (1-0)/(-3-5)

m = 1/-8

The maximum that the company can expect for returned items is C. $5972.65

From the information, the average daily profit of an electronics store is $31,435 and the company estimates that 15% is lost each day to returns, with a margin of error of ±4%.

In a random survey sample, a margin of error is a statistical measurement that takes into account the discrepancy between actual and anticipated findings. Simply said, you may determine the degree of unpredictability in data and research results using the margin of error.

The maximum the company can expect for returned items will be:

= (15% + 4%) × Profit

= 19% × $31,435

= 0.19 × $31,435

= $5972.65

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Answer:

24

Step-by-step explanation:

4 times 4

8 times 8

Subtract the 2 #'s

Then divide your answer by 2.

Step-by-step explanation:

use Pythagoras theorem

hypotenuse² = base² + height²

8²=base²+4²

64-16=B²

√48=B

√2×3×2×2×2=B

2×2√3

4√3 = B

hope it helps

The image position is approximately 1111.11 cm behind the mirror for first case and 25.68 cm in front of the mirror for second case, and the image height is approximately 138.9 cm and 6.848 cm.

To solve these problems, we can use the mirror equation:

1/f = 1/\(d_o\) + 1/\(d_i,\)

where:

f is the focal length of the mirror,

\(d_o\) is the object distance (distance from the object to the mirror), and

\(d_i\) is the image distance (distance from the image to the mirror).

We can also use the magnification equation:

m = -\(d_i\)/\(d_o\),

where m is the magnification of the mirror.

Let's solve the problems step by step:

Problem 1:

Object height \((h_o)\) = 2.0 cm

Object distance \((d_o)\) = -16 cm (negative because it is in front of the mirror)

Focal length (f) = -25 cm (negative because it is a concave mirror)

Using the mirror equation:

1/f =\(1/d_o + 1/d_i\)

Substituting the given values:

1/-25 = 1/-16 + 1/\(d_i\)

Simplifying the equation:

-1/25 = -1/16 + 1/\(d_i\)

Finding a common denominator:

-1/25 = (-16 + 25)/(-16 * 25) + 1/\(d_i\)

Simplifying further:

-1/25 = 9/(-400) + 1/\(d_i\)

Combining terms:

-1/25 = 9/(-400) + 1/\(d_i\)

Multiplying through by (-25) to get rid of the fraction:

1 = 9/400 + (-25/\(d_i\))

Rearranging the equation:

-9/400 = -25/\(d_i\)

Cross-multiplying:

-9 * \(d_i\) = -25 * 400

Simplifying:

-9 * \(d_i\) = -10,000

Dividing by -9:

\(d_i\) = 10,000 / 9 ≈ 1111.11 cm

The image position is approximately 1111.11 cm (or 11.11 m) behind the mirror.

Using the magnification equation:

m =\(-d_i/d_o\)

Substituting the given values:

m = -1111.11 / -16

Simplifying:

m ≈ 69.45

The magnification is approximately 69.45.

To find the image height \((h_i),\) we can use the magnification equation:

m =\(h_i/h_o\)

Substituting the values:

69.45 =\(h_i / 2\)

Simplifying:

\(h_i\) ≈ 138.9 cm

The image height is approximately 138.9 cm.

Therefore, the image position is approximately 1111.11 cm behind the mirror, and the image height is approximately 138.9 cm.

Problem 2:

Object height (h₀) = 4.0 cm

Object distance (d₀) = -15 cm (negative because it is in front of the mirror)

Focal length (f) = 25 cm (positive because it is a convex mirror)

Using the mirror equation:

1/f =\(1/d_o + 1/d_i\)

Substituting the given values:

1/25 = 1/-15 + 1/\(d_i\)

Simplifying the equation:

1/25 = -1/15 + 1/\(d_i\)

Finding a common denominator:

1/25 = (-15 + 25)/(15 * 25) + 1/\(d_i\)

Simplifying further:

1/25 = 10/(375) + 1/\(d_i\)

Combining terms:

1/25 = 10/(375) + 1/\(d_i\)

Multiplying through by (25) to get rid of the fraction:

1 = 10/375 + (25/\(d_i\))

Rearranging the equation:

1 - 10/375 = 25/\(d_i\)

Simplifying:

365/375 = \(25/d_i\)

Cross-multiplying:

\(365 * d_i\) = 25 * 375

Simplifying:

\(365 * d_i\) = 9375

Dividing by 365:

\(d_i\) = 9375 / 365 ≈ 25.68 cm

The image position is approximately 25.68 cm in front of the mirror.

Using the magnification equation:

m = -\(d_i/d_o\)

Substituting the given values:

m = -25.68 / -15

Simplifying:

m ≈ 1.712

The magnification is approximately 1.712.

To find the image height \((h_i)\), we can use the magnification equation:

m = \(h_i/h_o\)

Substituting the values:

1.712 = \(h_i\)/ 4

Simplifying:

\(h_i\) ≈ 6.848 cm

The image height is approximately 6.848 cm.

Therefore, the image position is approximately 25.68 cm in front of the mirror, and the image height is approximately 6.848 cm.

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Answer: 0.688

Step-by-step explanation:

Answer:

0.688

Step-by-step explanation:

9.438 - 8.75 = 0.688

Multicollinearity can be defined as when two independent variables are correlated, multicollinearity occurs. Reason: Only the interactions between the independent variables are considered multicollinear.

Multicollinearity is the prevalence of excessive intercorrelations amongst or extra impartial variables in a more than one regression model. Multicollinearity: Multicollinearity exists whilst or extra of the explanatory variables are extraordinarily correlated.

This is a hassle as it could be tough to disentangle which ones first-rate explains any shared variance with the outcome. It additionally indicates that the 2 variables may also in reality constitute the identical underlying factor. Multicollinearity takes place whilst or extra impartial variables are extraordinarily correlated with each other in a regression model. This method that an impartial variable may be anticipated from any other impartial variable in a regression model.

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The value of t would be,

⇒ t = 1.761

Using a table or calculator, we can find the value of t that corresponds to an area of 0.05 in the right tail of the t-distribution with 14 degrees of freedom.

The table or calculator will provide us with the t-value and its corresponding area in the right tail of the distribution.

Since we want an area of 0.05 in the right tail, we need to look for the t-value that has an area of 0.05 to the left of it.

Hence, Using a t-table, we find that the t-value with 14 degrees of freedom and an area of 0.05 in the right tail is approximately 1.761.

Therefore, t = 1.761 rounded to 3 decimal places.

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In general, the Divergence Test (nth term test) only allows us to determine whether a series diverges or not. It does not help us to determine the convergence of a series. Therefore, none of the other tests apply to this series.

The Divergence Test (nth term test) states that if the limit of the nth term of a series is not equal to zero, then the series diverges.

The series [infinity] 12 n n=1 is defined as follows:

[infinity] 12 n n=1 = 12¹ + 12² + 12³ + ...

The nth term of this series is given by:

aₙ = 12ⁿ As n → ∞, aₙ → ∞,

which means the limit of the nth term of the series does not exist.

Therefore, the series [infinity] 12 n n=1 diverges by the Divergence Test (nth term test).

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Answer:

6

Step-by-step explanation:

8.05 divided by 1.25 is 6.44

-21 is the 17th term.

It is a sequence where there is the same pattern of difference between the consecutive terms in the sequence.

We have,

a = 27 and d = -3 _____(1)

The nth term.

Term = a + (n - 1)d _____(2)

Now,

Term = -21

Substituting (1) in (2).

Term = a + (n - 1)d

-21 = 27 + (n - 1) (-3)

-21 = 27 - 3n + 3

3n = 27 + 21 + 3

3n = 51

n = 17

Thus,

-21 is the 17th term.

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Answer: a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3.

Step-by-step explanation: the y-intercept is where the line meets the y line which in this case is -3. I used slope formula to find the m of the equation ( slope ) take a look at the attached image to see how I solved it.

Answer:

a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3.

Step-by-step explanation:

The measures of dispersion mean , median , mode and range of the data are 3.79, 2, 2 and 9.75 respectively

The mean is the ratio of the sum of all the values and the number of values in the dataset .

The mean = (1 + 0.8 + 2 + 2.5 + 1.5 + 5 + 10 + 5.1 + 3 + 2.25 + 0.5 + 0.25 + 1.8 + 4.1 + 2 + 2 + 7) / 14 = 3.79

This is the middle value of the distribution after it has been rearranged in order of magnitude.

Rearranged data : 0.25, 0.5, 1, 1.5, 1.8, 2, 2, 2, 2.25, 3, 4.1, 5, 5.1, 7, 10

median = 2

This is the most frequently occurring value in the dataset . The modal value here is 2 with a frequency of 4

Mode = 2

This is the difference between the maximum and minimum values

Range = 10 - 0.25 = 9.75

Therefore, the range of the data is 9.75

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To determine the predicted speed of traffic at 9:00 am, we need to evaluate the derivative of the function s(t) = 8t^2 - 128t + 542 at t = 9. This will give us the rate of change of the function, which represents the speed at that time.

To find the predicted speed of traffic at 9:00 am, we first need to calculate the derivative of the function s(t) = 8t^2 - 128t + 542. Taking the derivative, we have:

s'(t) = d/dt(8t^2 - 128t + 542)

= 16t - 128

Now, we substitute t = 9 into the derivative expression:

s'(9) = 16(9) - 128

= 144 - 128

= 16

Therefore, the predicted speed of traffic at 9:00 am is 16 mph.

The correct answer is not provided in the answer choices.

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Answer:

I think the answer is A 120°

Answer:

3/2

Step-by-step explanation:

3^(-4+2-(-3))*2^(3-4)=3^1*2^-1=3/2

Answer:

D. He answers the same number of questions correctly in both rounds and the same number of questions incorrectly in both rounds​.

Step-by-step explanation:

In the first equation he earns 5 points and loses 3 points. The value of one question is 5 points, and the value of losing one question is 3 points. The same goes for the second equation except the fact that its 10 points and 4 points lost instead.

Answer:

32

Step-by-step explanation:

We need to find the square of 2¹⁰ .

=> √2¹⁰

We know that power of square is 1/2 .

=> 2^(10*1/2)

=> 2⁵

=> 32

\( \sqrt{ {2}^{10} } \\ = {2}^{10 \times \frac{1}{2} } \\ = {2}^{5} \\ = 2 \times 2 \times 2 \times 2 \times 2 \\ = 32\)

32

Hope it helps.

Do comment if you have any query.

Answer:45

Step-by-step explanation:

Answer:

X<8

Step-by-step explanation:

domain is all values of x X goes sdown forever on this graph and the open circle means eight is not included

The solution to the expression (5x² - 6x) / 3x is (5/3)x - 2

An equation is an expression that shows the relationship between numbers and variables using mathematical operators such as addition, subtraction, exponent, multiplication and division.

Equations can be classified based on degree as linear, quadratic, cubic and so on.

Given the polynomial:

5x² - 6x

Dividing the polynomial by the monomial 3x:

= (5x² - 6x) / 3x

= [x(5x - 6)] / 3x

= (5x - 6) / 3

= (5/3)x - 2

The solution to the equation is (5/3)x - 2

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The linear equation with integer slope representing the situation is

p = 5441 t

An algebraic description of a set of points in a coordinate system that form a line is a line equation. A line's numerous points on the coordinate axis are represented as a set of parameters x, y in order to create an algebraic equation known as a line equation. Each line's equation can be used to determine whether or not a given point is on the lines.

The equation of Line is, in fact, a one-degree linear equation.

Population in 1990 = 123000

Population in 2007 = 215500

Difference in population = 215500-123000 = 92500

Rate (slope ) of change of the population

= 92500÷17

= 5441.176 ...

≈ 5441

Hence the linear equation with integer slope to represent the population growth is given by p = 5441 t .

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Answer:

Step-by-step explanation:

the correct answer is c.256 km

how to find the answer:

it travels 32 km in 30 mins which means it will travel 64 km in 1 hr

so to find for 4 hours we have to multiply it by 4 as it is traveling ata speed of 64km/hr=64km*4/1*4=256km/4 hrs

so it travels 256 km in 4 hrs

Answer:

25/9=2.77777777778

Step-by-step explanation:

Answer:

Third option is the right choice.

Step-by-step explanation:

\(y=a(b)^x\)   where "b", is the common ratio.

The common ratio for third table is constant for all the terms.

Best Regards!

Each side of cube is 100 cm.

In Maths or in Geometry, a Cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges. It is also said to be a regular hexahedron.

Given that,

Volume of cube = 1 cubic meter

We know that,

1 m = 100 cm

Also  volume of cube = \(a^{3}\)

Then,

Volume of cube = 1000000 cm

                   \(a^{3}\)  = \(100^{3}\)

                   a = 100 cm

Hence, Each side of cube is 100 cm.

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Answer:

14%

Step-by-step explanation: Just count the boxes they show you what percent it is

verifying, by putting \( \theta=60^{\circ}\)

LHS≠RHS

hence the question is FALSE