Find the distance from (-4,3) to (-1,7)

There were 118.22 buttons in box a initially and 354.67 buttons in box a in the end.

Let x = the number of buttons in box a initially.

There were 3x buttons in box a initially, and x buttons in box b initially.

15% of x is 0.15x, and 10% of x is 0.10x.

Thus, the 33% increase in buttons for box c was (0.15x + 0.10x).

We can set up the equation as follows:

0.15x + 0.10x + x + x = 266

0.25x + 2x = 266

2.25x = 266

x = 266/2.25

x = 118.22

Thus, there were 118.22 buttons in box a initially and 354.67 buttons in box a in the end.

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Answer:

Approximately 20.33 (rounded to two decimal places)

Step-by-step explanation:

To find the standard deviation, we will first find the mean (average) of the scores, then find the variance, and finally take the square root of the variance to get the standard deviation.

Calculate the mean:

(80 + 30 + 34 + 32 + 55 + 27 + 38 + 41 + 84) / 9 = 421 / 9 = 46.78 (rounded to two decimal places)

Calculate the variance:

a. Find the difference between each score and the mean, and then square the differences (rounded to two decimal places).

(80 - 46.78)^2 = 1103.57

(30 - 46.78)^2 = 281.57

(34 - 46.78)^2 = 163.33

(32 - 46.78)^2 = 218.45

(55 - 46.78)^2 = 67.57

(27 - 46.78)^2 = 391.25

(38 - 46.78)^2 = 77.09

(41 - 46.78)^2 = 33.41

(84 - 46.78)^2 = 1385.33

b. Find the sum of the squared differences.

1103.57 + 281.57 + 163.33 + 218.45 + 67.57 + 391.25 + 77.09 + 33.41 + 1385.33 = 3721.57

c. Divide the sum of the squared differences by the number of scores (n = 9).

3721.57 / 9 = 413.51 (rounded to two decimal places)

Calculate the standard deviation:

Take the square root of the variance.

√413.51 = 20.33 (rounded to two decimal places)

The standard deviation of the scores is approximately 20.33 (rounded to two decimal places).

Answer:

cos S=

√74/11..................

Answer:

1/2

Step-by-step explanation:

2x + y = 8

-2x      -2x

y = -2x  + 8

to find the slope perpendicular to this you find the reciprocal of -2 which is 1/2

Answer:

The second one is the better deal

Step-by-step explanation:

The first one each pencil is 25 cents

The second one each pencil is 20 cents!

hope this helps!

Answer:

The 20-pack because four 5-packs of pencils would be 5 dollars and the same amount of pencils for the 20-pack is only 4 dollars. So the 20-pack is the better deal.

Step-by-step explanation:

Answer:

3000

Step-by-step explanation:

3000

3000

3000

There would be 44 unit of the 125 unit cubes have no paint on them

There are a total of 6* 9 = 54 painted unit squares on the outer faces of the 5x5x5 cube. Since each painted square is a unit square, there are 54 unit cubes which have at least one face painted.

We want to find the number of unit cubes that have no paint on them. These are the unit cubes that are not on the boundary of the 5x5x5 cube.

If we remove one layer of unit cubes from each of the six faces of the 5x5x5 cube, we are left with a 3x3x3 cube in the center, made up of 3³ = 27 unit cubes. Therefore, there are 125 - 27 = 98 unit cubes in the interior of the 5x5x5 cube.

Thus, the number of unit cubes with no paint on them is 98 - 54 = 44.

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Answer:

10.5

Step-by-step explanation:

These numbers are off by a little more than one power of ten:

\(1.2\times 10^6 \rightarrow 1.26 \times 10^7\)

\(10^7 \div 10^6 = 10\)   ← one power of ten

\(1.26 \div 1.2 = 1.05\)   ← a little more

To find the exact scale factor between the numbers, simply multiply the values we just solved for:

\(10 \times 1.05 = 10.5\)

So, \(1.2 \times 10^6\) is 10.5 times smaller than \(1.26 \times 10^7\).

Answer: 10.5

Step-by-step explanation:

ANSWER :

204.082 megabytes

EXPLANATION :

From the problem, we have the equation :

Solve for x when A(x) = 0.

That will be :

The value of x is 204.082

Answer:

its option E

Step-by-step explanation:

We can use the bank reconciliation statement to find out the correct amount of July bank disbursements. Let's go through each reconciling item one by one:1. Bank error disbursement for 57 recorded twice in July- This means that the bank recorded a disbursement of 57 dollars twice in their records. This would cause the bank balance to decrease by 57 dollars more than it should have. So, we need to add back 57 dollars to the disbursements in the bank statement.2. July NSF check of 59 recorded by the bank as a disbursement and by the books as a negative receipt - This means that the bank recorded the check as a disbursement but it was not cleared due to insufficient funds. The books recorded it as a negative receipt to reflect this fact. So, we need to subtract 59 dollars from the disbursements in the bank statement.3. NSF check of 54 recorded by the bank as an August disbursement - This means that the bank recorded the check as a disbursement in August but it was actually written in July. So, we need to subtract 54 dollars from the disbursements in the bank statement.Let's start with the June 30 balance of 80 dollars.Adding July receipts of 5200 dollars gives us a total of 5280 dollars.Subtracting the reconciling item 1 of 57 dollars gives us 5223 dollars.Adding reconciling item 2 of 59 dollars gives us 5282 dollars.Subtracting reconciling item 3 of 54 dollars gives us a final amount of 5228 dollars.Therefore, the correct amount of July bank disbursements is $5228.Option e. $270 is not the correct answer.  

Hope i helped :)

False. The weight of a variable in a standardized predictor environment does not necessarily indicate that the variable has a higher discriminating power.

Discriminating power is determined by the correlation of a predictor variable with the outcome variable. We can calculate the correlation between a predictor variable and an outcome variable using Pearson's correlation coefficient, which is represented by the formula:

r = (NΣXY - (ΣX)(ΣY)) / √[(NΣX2 - (ΣX)2)(NΣY2 - (ΣY)2)].

In this formula, N is the sample size, ΣX is the sum of the predictor variable, ΣY is the sum of the outcome variable, ΣXY is the sum of the products of the predictor and outcome variables, and ΣX2 and ΣY2 are the sums of the squares of the predictor and outcome variables, respectively. The Pearson's correlation coefficient ranges from -1 to +1, with +1 indicating perfect positive correlation, 0 indicating no correlation, and -1 indicating perfect negative correlation. A higher correlation coefficient indicates a higher discriminating power.

Therefore, the weight of a variable in a standardized predictor environment does not indicate whether or not the variable has a higher discriminating power; this is determined by the correlation between the predictor and outcome variables.

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Answer:

2,637,070

Step-by-step explanation:

2891+66= 2963

2963x 890= 2,637,070

Correction

890+ 66= 956

2891 x 2 = 5782

956 x 2= 1912

5782 + 1912= 7694

Answer:

Step-by-step explanation:

The new murals dimensions are:

The perimeter is:

Step-by-step explanation:

54, 54, 72

\(180 - 2 \times 54 = \\ = 180 - 108 = \\ = 72\)

Answer: it’s D 1/5

Step-by-step explanation: I took the test and got a 100

Answer:

E. 360

Step-by-step explanation:

We have two boxes of 6in by 6in,

and 4 with 12in by 6in, so we just multiply to find the area and add them up

6 x 6 = 36 x 2 = 72

12 x 6 = 72 x 4 = 288,

add them up and we get 360.

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Answer:

E

Step-by-step explanation:

6*6= 36

There are two of these squares so 72

12*6= 72

there are four of these rectangles so 288

soooo......288+72= 360

so E

The critical values of a function occur where its derivative is either zero or undefined.

To find the critical values of the function f(x) = 2x^3 + 9x^2 - 60x + 9, we need to determine where its derivative is equal to zero or undefined.

First, we need to find the derivative of f(x). Taking the derivative of each term separately, we get:

f'(x) = 6x^2 + 18x - 60.

Next, we set the derivative equal to zero and solve for x:

6x^2 + 18x - 60 = 0.

We can simplify this equation by dividing both sides by 6, giving us:

x^2 + 3x - 10 = 0.

Factoring the quadratic equation, we have:

(x + 5)(x - 2) = 0.

Setting each factor equal to zero, we find two critical values:

x + 5 = 0 → x = -5,

x - 2 = 0 → x = 2.

Therefore, the critical values of the function f(x) are x = -5 and x = 2.

In more detail, the critical values of a function are the points where its derivative is either zero or undefined. In this case, we took the derivative of the given function f(x) to find f'(x). By setting f'(x) equal to zero, we obtained the equation 6x^2 + 18x - 60 = 0. Solving this equation, we found the values of x that make the derivative zero, which are x = -5 and x = 2. These are the critical values of the function f(x). Critical values are important in calculus because they often correspond to points where the function has local extrema (maximum or minimum values) or points of inflection.

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a. ln(7x) can be expanded as ln(7) + ln(x). b. ln(x + 3) remains as it is, since it cannot be simplified further. c. ln(x^8) can be expanded as 8ln(x). d. 15,000ln(xy^4) can be expanded as ln(x) + 4ln(y) + ln(15,000).

a. To expand the logarithmic expression ln(7x), we can use the property of the natural logarithm that states ln(ab) = ln(a) + ln(b).

Therefore, ln(7x) can be expanded as ln(7) + ln(x).

b. Similarly, the logarithmic expression ln(x + 3) can be expanded using the property ln(ab) = ln(a) + ln(b).

Hence, ln(x + 3) remains as it is since we cannot simplify it further.

c. Expanding the logarithmic expression ln(x^8) can be done using the property ln(a^b) = b * ln(a).

Thus, ln(x^8) becomes 8 * ln(x).

d. Expanding the logarithmic expression 15,000ln(xy^4) can be done by applying the property ln(ab) = ln(a) + ln(b).

Therefore, 15,000ln(xy^4) can be expanded as 15,000[ln(x) + ln(y^4)].

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Answer:

1.37 × 10⁴ feet

Step-by-step explanation:

Standard form is a way or method used in mathematics to write very large or very small numbers in a compact form by raising them to the power of 10 (exponents)

She read that the Grand Teton in Wyoming is about 1.37 × 10⁴ feet high.

The standard form of writing this height = 1.37 × 10⁴ feet.

Answer:

the short answer would be A

Step-by-step explanation:

Answer:

A. 15s < 200

Step-by-step explanation:

Which inequality represents how many pairs of shorts, s, the coach can buy?

A. 15s < 200

B.15s > 200

C. 15s <(with line under)200

D 15s >(with line under)200

Let

s = cost of eat short

Number of students (Short) = 15

Less than (<)

The inequality:

Number of short * cost of each short < $200

15 * s < 200

15s < 200

s < 200/15

s < $13.333333333333

Answer:A. 15s < 200

Step-by-step explanation:A. 15s < 200

The distance from the wall, that the ladder slipped during the day, would be 21 cm.

First, use the Pythagorean theorem to find the original height of the ladder from the wall:

50² + b² = 300²

2, 500 + b ² = 90, 000

b ² = 90, 000 - 2, 500

b = √ 87, 500

b = 295. 8 cm

We can then find the new distance from the wall to be :
= 50 + 70

= 120 cm

The new height of the ladder to show the slip would be:

120² + b² = 300²

14,400 + b ² = 90, 000

b ² = 90, 000 - 14, 400

b = √ 75, 600

b = 275 cm

The distance slipped is:

= 295. 8 - 275

= 21 cm

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Answer:

\(f'(x)= \frac{13}{(2x+3)^2}\\\)

Step-by-step explanation:

\(f(x)= \frac{3x-2}{2x+3} \\\)

\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)

\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)

Thus, at x ≈ 1.4142, the tangent line to the graph of y = x + 2/x is horizontal.

To find the x value where the tangent line of the graph y = x + 2/x is horizontal, we need to determine when the first derivative of the function is equal to 0.

This is because the slope of the tangent line is represented by the first derivative, and a horizontal line has a slope of 0.

First, let's find the derivative of y = x + 2/x with respect to x. To do this, we can rewrite the equation as y = x + 2x^(-1).

Now, we can differentiate:
y' = d(x)/dx + d(2x^(-1))/dx = 1 - 2x^(-2)

Next, we want to find the x value when y' = 0:
0 = 1 - 2x^(-2)

Now, we can solve for x:
2x^(-2) = 1
x^(-2) = 1/2
x^2 = 2
x = ±√2

Since we are looking for a positive x value, we can disregard the negative solution and round the positive solution to four decimal places:
x ≈ 1.4142

Thus, at x ≈ 1.4142, the tangent line to the graph of y = x + 2/x is horizontal.

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Using sine rule formula to resolve the value for angle D

The sine rule formula is,

Given:

Therefore,

Simplify

Hence, the answer is

The latest time for pickup, found by converting the 150 minutes maximum time provided by the school, from minutes to hours is about 5:45 pm

Minutes can be converted into hours by dividing the number of minutes by 60, which is the number of minutes in an hour.

The time that school ends = 3:15 pm

The latest time for pick up after school care = 150 minutes after school ends

Therefore, the latest time for pick up after school care = 3:15 pm + 150 minutes

60 minutes = 1 hour

150 minutes = (1/60) × 150 = 2.5

The latest for pick up = 3:15 pm + 2.5 hours = 5:45 pm

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Industry Analysis using five forces model which are Political, Economic, Social, Technological, Environmental, Legal. A strategic group map visually represents the competitive positioning of companies within an industry.

1. Industry Analysis using PESTEL Model:

The PESTEL analysis examines the external factors that impact an industry:

Political: Government regulations, stability, and policies affecting the industry.

Economic: Economic growth, inflation, exchange rates, and consumer purchasing power.

Social: Demographic trends, cultural factors, and consumer behavior.

Technological: Technological advancements, innovation, and automation in the industry.

Environmental: Environmental regulations, sustainability practices, and climate change impact.

Legal: Legal frameworks, industry-specific regulations, and intellectual property protection.

By conducting a PESTEL analysis, one can gain insights into the industry's overall environment, identify opportunities and threats, and understand the factors influencing its growth and competitiveness.

2. Strategic Group Map:

A strategic group map visually represents the competitive positioning of companies within an industry. It uses parameters to plot companies on an x and y axis, and the diameter of the circle represents their market share or another relevant metric.

Parameters for x-axis: Price range (e.g., low to high)

Parameters for y-axis: Product differentiation (e.g., basic to premium)

Diameter of the circle: Market share (e.g., small to large)

By plotting companies based on these parameters, the strategic group map helps identify market segments, competitive dynamics, and potential areas for differentiation or strategic alliances.

3. Reconstructed Vignette 5: Cost of Operation for GP (2019 and 2020):

In 2019, the cost of operation for the GP (General Practitioner) increased due to rising expenses such as rent, salaries, and medical supplies. This was influenced by factors such as inflation and increased demand for healthcare services.

In 2020, the COVID-19 pandemic significantly impacted the cost of operation for GPs. The costs surged due to additional expenses related to personal protective equipment (PPE), sanitation measures, and telehealth infrastructure. Simultaneously, some costs decreased as patient visits reduced temporarily.

The increased costs challenged GPs' profitability, especially for independent practitioners or smaller clinics with limited resources. Adapting to new operational requirements and investing in technology further added to the financial burden.

4. Agreement with the Idea in the Case:

As the case or specific idea isn't provided, it's challenging to agree or disagree without context. Please provide more information or details about the case or idea so that I can offer a justified answer based on logic or data.

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COMPLETE QUESTION - 1.Make an industry analysis using either PESTEL or Five forces model.

2. Prepare a strategic group map using updated information. Use three parameters-for x axis, for y axis and for the diameter of the circle.

3. Reconstruct Vignette 5: Cost of operation for GP. Make it for 2019 and 2020.

4. Do you agree with the idea described in the case? Justify your answer in brief (you may use logic or data in support of your answer).

Answer:

look up how to find the area if a kite thats what i do

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

When displaying any sort of data, it is important to make the table or chart as easy to understand and read as possible without compromising the data. In this case, it is simpler to understand the pie chart if we use as few slices as possible that still makes sense for displaying the data set.

Answer: 5 hours

Step-by-step explanation:

She has already read 50 pages so we need to deduct that to calculate the answer:

= 175 - 50

= 125 pages left

She can read at a speed of 25 pages per hour. The number of hours it would take to read the remainder of the book would therefore be:

= 125 pages / 25 pages per hour

= 5 hours

Answer:

5

Step-by-step explanation: