Which expression is NOT equivalent to 6 x 14?
A. 6 x (10 + 4)
B. 6 x 7 + 6 x 7
C. 6 x 10 + 6 x 4
O D. 6 x (10 x 40)

Answer:

(c)

Step-by-step explanation:

d + 90° = 125° ⇒ d = 35°

Answer:

90º

Step-by-step explanation:

Looks like a 90º (or right angle) to me. :)

Answer:

15 dollars

Step-by-step explanation:

Answer:

15$

Step-by-step explanation:

2.50 * 6

15

Answer:

the first answer is 17. The second is 24. good luck!

Answer:

17 units

25 units

Step-by-step explanation:

The given graph is a graph of the absolute value function:

A graph of the function y=f(x) when translated horizontally by a units, vertically by b units, and horizontally stretched by a factor of k, where k>=1 is :

The required graph in the choices is that of the function:

This equation shows that the new function translates the previous one vertically down by 3 units (b=-3).

Horizontally to the left by 5 units (a=-5), and a horizontal stretch by a factor of 3 (k=3).

Hence, the new graph will be the one that gives the old graph translated vertically downwards by 3 units, horizontally to the left by 5 units, and a horizontal stretch away from the y-axis by a factor of 3.

The graph that best fits is shown below:

Answer:

This is called a vertical translation, which is answer D.

Step-by-step explanation:

Given: g(x) = f(x) + 2.

This means that g(x) is the "same" like (x) and that all points of the graph of f(x) are shifted up by 2 units, in order to form g(x).

The type of transformation is called a vertical translation, which is answer D.

Answer:P(c) =80x+100

First of all why is thomas buying 55 jerseys and the total is $4500

Step-by-step explanation:

The total number of acres planted for the optimal solution is not provided in the given information.

The amount of fertilizer (in tons) required to produce only corn is not provided in the given information.

The peak number of acres of wheat planted as fertilizer availability varies from 200 tons to 2200 tons in 100-ton increments cannot be determined without additional information.

I can help explain the general approach to answering the questions you mentioned.

To determine the total number of acres planted for the optimal solution, you would need to refer to the problem's constraints and objective function. The optimal solution would be obtained by solving the problem using linear programming techniques such as the simplex method or graphical method. By solving the problem, you can identify the values of the decision variables (such as acres planted) that maximize or minimize the objective function while satisfying the given constraints. The total number of acres planted for the optimal solution would depend on the specific problem setup and the solution obtained.

Similarly, to find out how much fertilizer would be needed to produce only corn, you would need to refer to the constraints and objective function of the problem. The specific requirements and coefficients associated with the corn production and fertilizer usage would determine the amount of fertilizer needed. By solving the problem, you can obtain the value of the decision variable representing fertilizer usage, which would indicate the required amount of fertilizer in tons.

SolverTable is a tool in Excel that allows you to perform sensitivity analysis by varying certain input values and observing the impact on the output. By using SolverTable, you can analyze the relationship between fertilizer availability (input) and acres planted (output) in the given problem. By varying the fertilizer availability from 200 tons to 2200 tons in 100-ton increments, you can observe how the acres of wheat planted change accordingly. The peak number of acres of wheat planted would be the maximum value observed during this range of fertilizer availability.

Since I don't have access to the specific problem you mentioned, I cannot provide precise answers or calculations. Please refer to the problem in your textbook or reference material to obtain the exact values and final answers.

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Answers:

(12, 7)

(20, 11)

(32, 17)

There are infinitely many possible answers.

=======================================================

Explanation:

The equation given to us is the same as y = 0.5x+1 because 1/2 = 0.5

If we replace x with even numbers, then we'll get whole number outputs for y.

Example: if x = 12, then y = 0.5x+1 = 0.5*12+1 = 7

This leads to (12,7) as one solution to this equation. A solution is a point that is on the line. Use graphing software like Desmos or GeoGebra to confirm.

Another example: if x = 20, then y  = 0.5x+1 = 0.5*20+1 = 11. Therefore, another solution point is (20, 11)

Final example: If x = 32, then y = 0.5x+1 = 0.5*32+1 = 17. This gives the point (32,17)

There are infinitely many possible answers since we can replace x with infinitely many real numbers.

Answer:

\(\dfrac{x}{2} = 18.8\)

Step-by-step explanation:

Let x represent the number Dan was thinking about.

Half of the number, x = 18.8

Therefore, when x is divided by 2, the result is 18.8

The equation which can be formed with the given information is therefore;

\(\dfrac{x}{2} = 18.8\)

Step-by-step explanation:

a and b are not integers

\( {x}^{2} + 6x + 13 = 0 \\ x = - 3 \pm2i\)

\(a \: \in \mathbb{C}\)

\(b \: \in \mathbb{C}\)

Answer:

\(Base = 57\)

Step-by-step explanation:

Given

\(Length = 2x + 4\)

\(Base = 3x\)

\(Perimeter = 141\)

Required

Determine the length of the base

The perimeter of an isosceles triangle is:

\(Perimeter = 2*Length + Base\)

\(141 = 2 (2x + 4) + 3x\)

\(141 = 4x + 8 + 3x\)

Collect Like Terms

\(4x + 3x = 141 - 8\)

\(7x = 133\)

Divide both sides by 7

\(x = 19\)

To get the base, we substitute 19 for x in \(Base = 3x\)

\(Base = 3 * 19\)

\(Base = 57\)

Answer:

0.42.

Step-by-step explanation:

Probability of a miss on one bat = 1 - 0.3 = 0.7.

There are 2 scenarios:

First bat a Hit,  Second bat a Miss, or

First bat a Miss,  Second bat a Hit.

First scenario: Probability = 0.3 * 0.7 = 0.21.

Second is  0.7 * 0.3 = 0.21.

So the answer is 0.21 + 0.21 = 0.42.

Answer:

I think questions is not complete.

The value of measure of length AC is,

⇒ AC = 8 units

We have to given that,

The area of the kite is,

A = 36 ft²,

And, the measures of the non-bisected diagonal are given.

Since, We know that,

Area of kite = d₁ × d₂ / 2

Where, d₁ and d₂ are diagonals of kite.

Hence, Substitute all the given values, we get;

⇒ 36 = (6 + 3) × AC / 2

⇒ 36 = 9 × AC / 2

⇒ AC = 36 x 2 / 9

⇒ AC = 8

Thus, The value of measure of length AC is,

⇒ AC = 8 units

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The length of AC in a kite with an area of 36 sq ft and a non-bisected diagonal measuring 6ft and 3ft is 8ft

The kite ABCD can be divided into two triangles: Triangle ABC and Triangle ACD

let us consider the midpoint of the diagonals to be point O

The area of a triangle is 1/2×b×h

For triangle ABC,

Area(ABC) = 1/2 × AC × BO

Area(ABC) = 1/2 × AC × 6

Area(ABC) = 3 × AC

For Triangle ACD,

Area(ACD) = 1/2 × AC × DO

Area(ACD) = 1/2 × AC × 3

Area(ACD) = 3/2 × AC

Area (ABCD) = Area(ABC) + Area(ACD)

36 = 3×AC + 3/2×AC

36 = 9/2 × AC

72 = 9 × AC

AC = 72/9

AC = 8ft

Therefore, The length of AC in a kite with an area of 36 sq ft and a non-bisected diagonal measuring 6ft and 3ft is 8ft.

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Answer:

x = 4

Step-by-step explanation:

The amount of money lost per year is 15x

Where 100x can be any amount

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Let the total amount of money earned in a year from the field = 100x

The new field area.

= 100% - 15%

= 85%

Now,

The amount of money earned in a year from the new field area.

= 85% of 100x

= 85x

Now,

The amount of money lost per year.

= 100x - 85x

= 15x

Thus,

If 15% of the field is reduce the amount of money lost per year is 15x

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Yes, there is a correlation between these measures. The higher the placement exam score, the higher the student's score on their first exam tends to be. For example, students with placement exam scores of 11 and 49 had first exam scores of 27 and 71 respectively, indicating that the higher the placement exam score, the higher the first exam score.

A measure in mathematics is a generalization of the ideas of length, area, and volume. Measures are sometimes referred to as "mass distributions" informally. A measure, in more exact terms, is a function that gives numbers to particular subsets of a given set. This quantity is described as the set's measure.

To measure length or distance, this system employs inches, feet, yards, and miles. Volume or capacity are expressed in fluid ounces, cups, pints, quarts, or gallons. In ounces, pounds, and tons, weight or mass is expressed.

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Answer:300

Step-by-step explanation:

Because the total area planted (240 square feet) is going to be composed of an area of flowers (x) and an area of vegetables, you can say x + y ≤ 240 (because he will use UP TO 240 square feet)

Because the area of vegetables will be AT LEAST twice the area of flowers, you can say y ≥ 2x

Answer:

a.12.6   b.8.0

Step-by-step explanation:

The item that is not an item in the income statement is b. Furniture & Fixture as it is considered a fixed asset and is reported on the balance sheet instead.

The income statement, also known as the profit and loss statement, provides a summary of a company's revenues, expenses, gains, and losses over a specific period. It helps to assess the financial performance of a business. The income statement typically includes various items such as revenues, cost of goods sold, operating expenses, interest income or expense, and other gains or losses.

a. Discount allowed is a revenue item that represents the discounts given to customers as an incentive for early payment or other reasons. It is usually reported as a deduction from sales revenue.

c. Furniture & Fixture is not typically included in the income statement. Instead, it is considered a non-operating or non-recurring item and is generally classified as a fixed asset on the balance sheet. Fixed assets represent long-term investments made by a company for its operations.

d. Discount received is also not an item in the income statement. It represents the discounts received by a company from its suppliers for early payment or other reasons. Similar to discount allowed, it is usually reported as a deduction from the respective expense account.

In summary, b. Furniture & Fixture is the item that is not included in the income statement. It is considered a fixed asset and is reported on the balance sheet instead.

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The product of vectors a and b is approximately 5.292.

To find the product of two vectors a and b, we need to use the dot product formula which is a · b = |a| |b| cosθ, where |a| and |b| are the magnitudes of vectors a and b, and θ is the angle between them.
In this case, we are given that |a| = 2 and |b| = 7, and the angle between a and b is 2/3. We can use this information to find cosθ as follows:
cosθ = cos(2/3) ≈ 0.378
Now, we can substitute the values into the formula:
a · b = |a| |b| cosθ
a · b = 2 * 7 * 0.378
a · b ≈ 5.292
Therefore, the product of vectors a and b is approximately 5.292.

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The normal probability plot suggests the data is approximately normally distributed. The sample standard deviation of given data is 3.13. The 95% confidence interval for the population standard deviation is (1.85, 6.28). The investment manager's desire for a population standard deviation below 6% is validated by the confidence interval.

To construct a normal probability plot, we first need to sort the data in ascending order:

6.6, 6.7, 8.7, 9.6, 10.0, 10.3, 11.3, 12.4, 12.4, 13.8, 14.9, 15.9

Then we can plot the ordered data against the expected values of a normal distribution with the same mean and standard deviation as the sample. The plot shows that the points follow a roughly straight line, which suggests that the data is roughly normally distributed.

To determine the sample standard deviation, we can use the formula:

s = sqrt[(∑(xi - x)²) / (n - 1)]

where xi is the rate of return for each year, x is the sample mean, and n is the sample size.

Sample mean:

x = (13.8 + 15.9 + 10.0 + 12.4 + 11.3 + 6.6 + 9.6 + 12.4 + 10.3 + 8.7 + 14.9 + 6.7) / 12 = 11.433

Sample standard deviation:

s = sqrt[((13.8 - 11.433)² + (15.9 - 11.433)² + ... + (6.7 - 11.433)²) / (12 - 1)]

= 3.059

Therefore, the sample standard deviation is 3.059.

To construct a 95% confidence interval for the population standard deviation of the rate of return, we can use the formula:

CI = [(n - 1) * s² / χ²(α/2, n-1), (n - 1) * s² / χ²(1-α/2, n-1)]

where n is the sample size, s is the sample standard deviation, χ² is the chi-square distribution, and α is the level of significance (1 - confidence level).

For a 95% confidence level and 11 degrees of freedom (n - 1), α = 0.05/2 = 0.025. From the chi-square distribution table with 11 degrees of freedom, we can find the critical values as follows:

χ²(0.025, 11) = 2.201 and χ²(0.975, 11) = 23.337

Plugging in the values, we get:

CI = [(12 - 1) * 3.059² / 23.337, (12 - 1) * 3.059² / 2.201]

= [1.946, 26.557]

Therefore, we can say with 95% confidence that the population standard deviation of the rate of return is between 1.946 and 26.557.

The investment manager wants to have a population standard deviation for the rate of return below 6%. The confidence interval (1.946, 26.557) does not validate this desire, as it includes values above 6%. Therefore, based on the sample data, the investment manager cannot be confident that the population standard deviation is below 6%.

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Answer:

8.1 miles per day

Step-by-step explanation:

18 + 5x = 48.5 >> subtract 18 to both sides

5x= 40.5 >> divide by 5 to both sides

x= 8.1 miles

Answer:

Step-by-step explanation:

The first one is equal to.  203/203 is equal to 1.  1 times any number is itself.

The second on is less than.  9/37 is a proper fraction and when a number is multiplied by a proper fraction, it gets smaller.

When a bacteria doubles in every 6 hours then the population of bacteria in the culture after 19 hours will be 6561110.

The population of bacteria in the culture after 19 hours can be calculated using the formula P4 = Po 24. Here, Po is the initial population of 110 bacteria, t is the time in hours (19 hours) and d is the doubling time (6 hours).

Plugging in these values, we get P4 = 110196 = 6,561,110. Therefore, the population of bacteria in the culture after 19 hours is 6,561,110, rounded to the nearest whole number.

Therefore the final amount of bacteria will be 6561110.

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They gave a graph. All you got to do is find where x = 2 which is 0. I think. Did they give you a function? Or is there just a graph?

In conclusion, the function f(x) = x^(1/lnx) is always positive and approaches 0 as x approaches 0+ and approaches 1 as x approaches ∞. The equation x^(1/lnx) = 2 has no solution.

To show that the equation x^(1/lnx) = 2 has no solution, we can analyze the properties of the function f(x) = x^(1/lnx) and examine its behavior.

Let's consider the domain of the function f(x). Since we have a logarithm in the denominator, we need to ensure that x is positive and not equal to 1, so x > 0 and x ≠ 1.

Now, let's investigate the behavior of f(x) as x approaches 0 from the positive side (x → 0+). In this case, ln(x) approaches negative infinity, and the exponent 1/ln(x) approaches 0. Therefore, f(x) approaches 0 as x approaches 0+.

Next, let's examine the behavior of f(x) as x approaches positive infinity (x → ∞). In this case, ln(x) approaches infinity, and the exponent 1/ln(x) approaches 0. Therefore, f(x) approaches 1 as x approaches ∞.

Considering the behavior of the function, we see that it is always positive (since x^(1/lnx) is positive for positive x) and approaches 0 as x approaches 0+ and approaches 1 as x approaches ∞.

Now, let's consider the equation x^(1/lnx) = 2. If such an x exists as a solution, it would mean that there is a point where the function f(x) equals 2. However, based on the behavior of the function described above, we can see that f(x) can never equal 2. Therefore, the equation x^(1/lnx) = 2 has no solution.

In conclusion, the function f(x) = x^(1/lnx) is always positive and approaches 0 as x approaches 0+ and approaches 1 as x approaches ∞. The equation x^(1/lnx) = 2 has no solution.

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The given statement "The classical model of decision making assumes that managers have all of the information they need in order to make the optimum decision." is false because it is not necessary that they have all information.

The classical decision-making model assumes that managers have access to all the relevant information, but it does not necessarily assume that they have all the information they need to make the optimum decision.

The model also assumes that the decision-maker is rational and logical, able to identify and evaluate all alternatives and select the best one based on a careful analysis of the pros and cons of each option. However, in practice, managers may not have access to all the information they need, or they may be influenced by biases or external pressures that can lead to suboptimal decision-making.

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