10. During a December the high temperature in New Mexico was 68° F. The
same month, the low temperature was -15° F. What was the difference
between the two temperatures?

We need to know the total earnings and total expenses for the day. Without this information, we cannot accurately determine Leo's profit. If you can provide additional details or the complete notebook entries, I would be happy to assist you in calculating the profit.

To determine Leo's profit for the first day, we need more information than what is provided in the question. The notebook shows the money earned and spent, but the given information stops at "10," without specifying whether it represents money earned or money spent. Additionally, we don't have any other earnings or expenses mentioned in the question.

To calculate the profit, we need to know the total earnings and total expenses for the day. Without this information, we cannot accurately determine Leo's profit. If you can provide additional details or the complete notebook entries, I would be happy to assist you in calculating the profit.

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Answer:

it's 31 8÷250

Step-by-step explanation:

8÷250 have a nice day

a) Two mutually exclusive events:

Event C: The San Jose Target sells fewer than 50 cases of juice boxes.

Event D: The Los Angeles Target sells more than 150 cases of juice boxes.

b) Two independent events:

Event A: The San Jose Target sells 200 cases of juice boxes.

Event E: The Los Angeles Target sells less than 75 cases of juice boxes.

c) Two events that are neither mutually exclusive nor independent:

Event B: The San Jose Target sells more than 100 cases of juice boxes.

Event E: The Los Angeles Target sells less than 75 cases of juice boxes.

a) Two mutually exclusive events:

Event C: The San Jose Target sells fewer than 50 cases of juice boxes.

Event D: The Los Angeles Target sells more than 150 cases of juice boxes.

These events are mutually exclusive because it is not possible for both events to occur simultaneously. If the San Jose Target sells fewer than 50 cases, it means it cannot sell more than 150 cases, which satisfies Event D.

b) Two independent events:

Event A: The San Jose Target sells 200 cases of juice boxes.

Event E: The Los Angeles Target sells less than 75 cases of juice boxes.

These events are independent because the sales at one Target location do not affect the sales at the other location. The number of cases sold in San Jose (Event A) has no influence on the number of cases sold in Los Angeles (Event E), and vice versa.

c) Two events that are neither mutually exclusive nor independent:

Event B: The San Jose Target sells more than 100 cases of juice boxes.

Event E: The Los Angeles Target sells less than 75 cases of juice boxes.

These events are neither mutually exclusive nor independent. They can both occur simultaneously if the San Jose Target sells more than 100 cases and the Los Angeles Target sells less than 75 cases.

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Answer:

1/59

Step-by-step explanation:

Answer:

1/59

think of it dude

A CR less than or equal to 0.1 is considered acceptable, indicating a consistent set of judgments in comparing the criteria. If the CR is greater than 0.1, it is advised to revise the pairwise comparisons to improve consistency.

The Consistency Ratio (CR) in the context of the GEAR Matrix (which is related to bikes, not fruit) measures the level of consistency in judgments made when comparing criteria in a decision-making process, such as the Analytic Hierarchy Process (AHP).

To calculate the CR for the Criteria in the GEAR Matrix, follow these steps:

1. Determine the pairwise comparison matrix by comparing the importance of each criterion against the others.

2. Calculate the weights of each criterion by normalizing the columns and finding the average for each row.

3. Multiply the pairwise comparison matrix by the weight vector to obtain a new vector.

4. Divide each element of the new vector by its corresponding weight to obtain the Consistency Vector.

5. Calculate the average of the Consistency Vector to get the Consistency Index (CI).

6. Divide the CI by the Random Index (RI) for the specific matrix size (this value can be found in AHP literature) to obtain the Consistency Ratio (CR).

Therefore, A CR less than or equal to 0.1 is considered acceptable, indicating a consistent set of judgments in comparing the criteria. If the CR is greater than 0.1, it is advised to revise the pairwise comparisons to improve consistency.

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Complete Question:

What is the Consistency Ratio of the GEAR Matrix? This question is related to BIKE and not fruit..So please use BIKE MATRIX.

What is the CR of Criteria?

Classroom objects can be categorized as vertical or horizontal. Examples of vertical objects include doors, bookshelves, and clocks, while horizontal objects include desks, tables, and chairs.

In a classroom, there are many objects that are vertical and horizontal. Here are ten examples of each:

Vertical objects in a classroom:

1. Door                     6. Clock

2. Cabinet               7. Electrical outlets

3. Bookshelf            8. Light switches

4. Whiteboard         9. Window blinds

5. Flagpole             10. Bulletin board

Horizontal objects in a classroom:

1. Desks                  6. Keyboard trays

2. Chairs                 7. Carpet tiles

3. Tables                 8. Ceiling tiles

4. Countertops       9. Whiteboard markers

5. Shelves              10. Paper trays

These are just a few examples of vertical and horizontal objects that can be found in a classroom.

It is important to recognize the different shapes and orientations of objects in our environment, as they can affect the way we perceive and interact with them.

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The given function, after applying the series of transformations, results in the following equation:

y = -3 * f(3(x + 1)) - 2 * f(2(x - 2)) - 2 - 3 * f(x + 1) + 3 - 3 * |f(x + 2)| - 1 * |f(x)| / 2 - 3

The series of transformations can be summarized as follows:

(1) Compress horizontally by a factor of 3 and translate left 1 unit: f(3(x + 1)).

(2) Compress horizontally by a factor of 2 and translate right 2 units: f(2(x - 2)).

(3) Translate left 2 units and translate down 2 units: f(x + 1) - 2.

(4) Translate right 1 unit and translate up 3 units: -3 * f(x + 2) + 3.

(5) Expand vertically by a factor of 3 and reflect across the x-axis: -3 * |f(x + 2)|.

(6) Translate left 2 units and translate down 3 units: -3 * |f(x + 2)| - 1.

(7) Reflect across the x-axis and translate left 1 unit: -1 * |f(x)| / 2.

(8) Compress vertically by a factor of 2 and translate down 3 units: -1 * |f(x)| / 2 - 3.

The resulting equation combines all these transformations to describe the final function.

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Answer:

D -6x + 2 = -15

Step-by-step explanation:

-4(3/2 x - 1/2) = -15

-4 × 3/2 x + (-4) × (-1/2) = -15

-6x + 2 = -15

Answer: D -6x + 2 = -15

Hi,

7.9p - 7.9p = 0.7 + 7.9 - 6

0 = 2.6

so, there is no solution

Answer:

abc- 130

ebd-130

abe-50

Step-by-step explanation:

Answer:

2 and 1

Step-by-step explanation:

1 + 2 = 3

(1*1) + (2*2) = 5

Answer:

2 and 1

Step-by-step explanation:

just simply subtract the sum of two numbers from one of the given numbers that is 3-2=1

now simpliy take the square of 1 and 2

1+4=5

The intervals of concavity for f(x) = 3 cos x, with 0 < x < 21, are (0, π/2) and (3π/2, 2π).

To find the intervals of concavity for f(x) = 3 cos x, we need to analyze the second derivative of the function.

First, let's find the second derivative of f(x):

f'(x) = -3 sin x (derivative of cos x)

f''(x) = -3 cos x (derivative of -3 sin x)

Now, we can analyze the concavity of f(x) by considering the sign of the second derivative:

When x ∈ (0, π/2): In this interval, cos x > 0, so f''(x) < 0. The second derivative is negative, indicating concavity downwards.

When x ∈ (π/2, 3π/2): In this interval, cos x < 0, so f''(x) > 0. The second derivative is positive, indicating concavity upwards.

When x ∈ (3π/2, 2π): In this interval, cos x > 0, so f''(x) < 0. The second derivative is negative, indicating concavity downwards.

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To find P(Q and R), we can use the formula: P(Q and R) = P(Q) × P(R) Since the events Q and R are independent, we can multiply the probabilities of each event to find the probability of both events occurring together. P(Q) = 0.37P(R) = 0.24P(Q and R) = P(Q) × P(R) = 0.37 × 0.24 = 0.0888.

Therefore, the probability of both Q and R occurring together is 0.0888. Long Answer:Independent events:In probability theory, two events are independent if the occurrence of one does not affect the probability of the occurrence of the other. Two events A and B are independent if the probability of A and B occurring together is equal to the product of the probabilities of A and B occurring separately. Mathematically,P(A and B) = P(A) × P(B) Suppose Q and R are independent events. Find P(Q and R).

We can use the formula: P(Q and R) = P(Q) × P(R) Since the events Q and R are independent, we can multiply the probabilities of each event to find the probability of both events occurring together. P(Q) = 0.37P

(R) = 0.24

P(Q and R) = P(Q) × P(R)

= 0.37 × 0.24

= 0.0888

Therefore, the probability of both Q and R occurring together is 0.0888. Hence, P(Q and R) = 0.0888. In probability theory, independent events are the events that are not dependent on each other. It means the probability of one event occurring does not affect the probability of the other event occurring.

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In order to show that 6x2 + 3x + 4 is O(22), we need to find suitable values for c and k in the definition of big-O.  Recall that a function f(x) is O(g(x)) if there exist positive constants c and k such that |f(x)| ≤ c|g(x)| for all x ≥ k.

Looking at the options given, we can see that the value of c must be greater than or equal to 1, since we are looking for an upper bound for the function.

Option a, where c = 100 and k = 1, is not a suitable choice because it is too large of a value for c. Similarly, option e, where c = 7 and k = 87, is not a suitable choice because it is too large of a value for k.

Option b, where c = 13 and k = 1, is a possible choice. To show this, we need to prove that there exist constants c = 13 and k = 1 such that:

\(|6x2 + 3x + 4| ≤ 13|22| for all x ≥ 1.\)

Note that |22| = 22 and |6x2 + 3x + 4| ≤ 6x2 + 3x + 4.

Thus, we need to show that:

6x2 + 3x + 4 ≤ 13(22) for all x ≥ 1.

Simplifying the inequality, we get:

6x2 + 3x + 4 ≤ 286

This inequality holds for all x ≥ 1, since the left-hand side is a quadratic function that is increasing for x ≥ 0. Therefore, option b is a suitable choice.

Option c, where c = 1 and k = 87, is not a suitable choice because it is too small of a value for c.

Option d, where c = 10 and k = 2, is not a suitable choice because it is too small of a value for k.

Option f, where c = 7 and k = 1, is also a possible choice. To show this, we need to prove that there exist constants c = 7 and k = 1 such that:

\(|6x2 + 3x + 4| ≤ 7|22| for all x ≥ 1.\)

Note that |22| = 22 and |6x2 + 3x + 4| ≤ 6x2 + 3x + 4.

Thus, we need to show that:

6x2 + 3x + 4 ≤ 154 for all x ≥ 1.

This inequality holds for all x ≥ 1, since the left-hand side is a quadratic function that is increasing for x ≥ 0. Therefore, option f is also a suitable choice.

In summary, options b and f are both suitable choices for c and k in the definition of big-O to show that 6x2 + 3x + 4 is O(22).

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Answer:

The investment firm's total profit is $4,000

Step-by-step explanation:

The Profit from Company A = 11% * $8,000

= 11 * $8,000/100

= $880

The Profit from Company B = 13% * $24,000

= 13 * $24,000/100

= $3,120

The total profit = $880 + $3120

= $4,000

Thus, the investment firm's total profit is $4,000

The derivative of f(x) is 3x^2 * (1 + x^3^4)^(1/4) - 2x * (1 + x^2^4)^(1/4).

To find the derivative of the function f(x) = ∫[x^2 to x^3] (1 + t^4)^(1/4) dt, we can use the Fundamental Theorem of Calculus and the Chain Rule.

Applying the Fundamental Theorem of Calculus, we have:

f'(x) = (1 + x^3^4)^(1/4) * d/dx(x^3) - (1 + x^2^4)^(1/4) * d/dx(x^2)

Taking the derivatives, we get:

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

Simplifying further, we have:

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

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Answer:

12 and 48

Step-by-step explanation:

let n be the larger number , then \(\frac{1}{4}\) n is the smaller number and their sum is

x + \(\frac{1}{4}\) x = 60 ( multiply through by 4 to clear the fraction )

4x + x = 240 , that is

5x = 240 ( divide both sides by 5 )

x = 48

smaller number = \(\frac{1}{4}\) × 48 = 12

The 2 numbers are 12 and 48

The probability that the vertical faces have the same color painted is 0.6875

There are 6 faces on a cube.

Each face of the cube will either be red or blue.

The probability that one face will have red color = probability that the face will have blue color = 1/2

It is given that the cube is placed on a horizontal surface and the 4 vertical faces have the same color.

The painting of the faces of the cube clearly follows a binomial distribution.

Therefore the probability to color the faces of a cube

= P(4 faces are red, 2 faces blue) + P(4 faces are blue, 2 faces red) + P(5 faces blue) + P(5 faces red) + P(All faces blue) + P(all faces red)

For any binomial distribution

ⁿCₓ X pˣ (1 - p)ⁿ⁻ˣ

where

n = no. of sample

x = random variable

p = probability of success

Hence we get

⁶C₄ X 0.5⁴ 0.5²   + ⁶C₄ X 0.5⁴ 0.5²   +    ⁶C₅ X 0.5⁵ 0.5    +   ⁶C₅ X 0.5⁵ 0.5

⁶C₆ X 0.5⁶    +    ⁶C₆ X 0.5⁶

= 15 X 0.015625    +    15 X 0.015625    +    6 X 0.015625    +    6 X 0.015625    +    0.015625

= 0.6875

Therefore we get the probability of having the four vertical faces of the same color to be 0.6875.

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Answer:

x³ - 8x² + 15x

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

x(x - 5)(x - 3)

Step 2: Expand

To calculate the gain on the sale of the office furniture, we need to determine the asset's book value and compare it to the sale price.

First, let's calculate the accumulated depreciation on the furniture. The furniture was purchased on January 1, 2014, and the straight-line depreciation method is used over 10 years with a salvage value of $80,200.

Depreciation per year = (Cost - Salvage Value) / Useful Life

Depreciation per year = ($746,800 - $80,200) / 10 years

Depreciation per year = $66,160

Next, we need to calculate the accumulated depreciation for the period from January 1, 2014, to May 1, 2021 (the date of the sale). This is approximately 7.33 years.

Accumulated Depreciation = Depreciation per year × Years

Accumulated Depreciation = $66,160 × 7.33 years

Accumulated Depreciation = $484,444.80

Now, we can calculate the book value of the furniture:

Book Value = Cost - Accumulated Depreciation

Book Value = $746,800 - $484,444.80

Book Value = $262,355.20

Finally, we can calculate the gain on the sale:

Gain on Sale = Sale Price - Book Value

Gain on Sale = $300,000 - $262,355.20

Gain on Sale = $37,644.80

Therefore, the gain that should be recognized on the sale of the office furniture is approximately $37,644.80.

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The gain that should be recognized on the sale of the office furniture is $84,080.

The gain is calculated by subtracting the equipment's book value from the sale price. This gain will be reported on the company's income statement. Here is how to calculate the gain:First, find the equipment's book value using the straight-line method of depreciation.

Straight-line depreciation is calculated by taking the difference between the equipment's original cost and its salvage value, and then dividing it by the number of years the equipment is used. The annual depreciation expense is then multiplied by the number of years the equipment is used to find the equipment's book value at the end of its useful life.

For this question, the book value of the equipment at the time of sale is:Cost of equipment: $746,800Salvage value: $80,200Depreciable cost: $746,800 - $80,200 = $666,600Annual depreciation: $666,600 ÷ 10 years = $66,660Book value at the end of 2020: $666,600 - ($66,660 x 7) = $156,420

Next, subtract the equipment's book value from the sale price to find the gain:Sale price: $300,000Book value: $156,420Gain: $143,580Finally, round the gain to the nearest dollar:$143,580 ≈ $143,580.00So the gain that should be recognized on the sale of the office furniture is $84,080.

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Answer:

the odds against Zahra climbing to the top are,

B. 4:1

Step-by-step explanation:

Since she has climbed 7 times in 28 attempts,

the probability of a successful climb is,

P = 7/28

P = 1/4

So, the odds against Zahra climbing to the top are 4:1

The total cost of the ingredient is $0.84 for 6 ounces.

Define fixed cost.

The cost or expense known as fixed cost is unaffected by a short-term horizon's growth or reduction in the number of units produced or sold. To put it another way, it refers to a cost that is linked to a time period rather than a specific economic activity.

It can be viewed as costs that a business must pay regardless of the volume of business activity, such as the number of units produced or sales made. One of the two main parts of the overall manufacturing cost is the fixed cost.

Solution Explained:
Given,

1 pound = $2.25

Since 1 pound = 16 ounces

So, 16 ounces = 2.25

      1 ounce = 2.25/16 = 0.14

Therefore, 6 ounces = 0.14 X 6 = 0.84

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The missing value in the chart will be 1/9.

From the chart, the given function is an exponential function,

Since the function is 3ⁿ.

Thus, the value of the function at n= -2 will be,

=> 3ⁿ=3⁻²

=> 3ⁿ= 1/3²

=> 3ⁿ= 1/9

Therefore, the value of the function at n = -2 will be 1/9.

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Answer:

2.2%

Step-by-step explanation:

Use the percent error formula:

% error = | (approx - exact) ÷ approx | x 100

Plug in the approx. and exact values:

| (8.9 - 8.7) ÷ 8.9 | x 100

| (0.2) ÷ 8.9 | x 100

= 2.2

So, the percent error is 2.2%

Answer:1.2%

Step-by-step explanation:

∣experimental−actual∣

​

×100

The formula

∣

8.7

−

8.6

∣

8.6

×

100

8.6

∣8.7−8.6∣

​

×100

Plug in values

∣

0.1

∣

8.6

×

100

8.6

∣0.1∣

​

×100

Subtract

0.1

8.6

×

100

8.6

0.1

​

×100

Take the absolute value

0.0116279

×

100

0.0116279×100

Divide

1.16279

1.16279

Multiply by 100

1.2

%

1.2%

Answer:

\(1\frac{1}{2}\)

Step-by-step explanation:

The first step to solving this problem is to convert these into improper fractions.

\(7\frac{2}{3} =\frac{21+2}{3}=\frac{23}{3}\)

\(5\frac{1}{9} =\frac{45+1}{9}=\frac{46}{9}\)

The second step is to determine the reciprocal of the second term.

Reciprocal of \(\frac{46}{9} =\frac{9}{46}\)

The third step is to multiply the first term by the reciprocal of the second term.

\(\frac{23}{3}*\frac{9}{46}=\frac{207}{138}\)

The fourth step is to reduce this fraction.

\(\frac{207}{138}=\frac{3(69)}{3(46)}=\frac{23(3)}{23(2)}=\frac{3}{2}=1\frac{1}{2}\)

Answer:

1 1/2 or 3/2

Step-by-step explanation:

First you need to make your fractions improper.

7 times 3 + 2 = 23, so the fraction is 23/3

5 times 9 + 1 = 46, so the fraction is 46/9

Since this is division, flip the second fraction.

So instead of 46/9, it's now 9/46

Now you can multiply.

23/3 + 9/46 = 207/138

207/138 simplified is 3/2, or  1  1/2

Hope this helped! Leave a comment if it did. :)