In a shop, two kinds of candies A and B were sold at $2 each and $5 each respectively. Tammy paid at least $75 for 20 candies A and B in the shop. Find the maximum number of candy A Tammy bought.

To make a table of values for a linear relationship;

Choose a group of x values before creating the table. Add each x value from the left side column to the equation. Evaluate the equation (middle column) to arrive at the y value

Given,

Linear relationship;

A straight-line link between two variables is referred to statistically as a linear relationship (or linear association). Linear relationships can be represented graphically or mathematically as the equation y = mx + b.

Here,

We have to make a table of values for a linear relationship;

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The logarithmic form of the exponential equation 8e^x-5 = 0 is given as follows:

x = ln(5/8).

The exponential function in this problem is defined as follows:

8e^x-5 = 0.

The equation can be sorted isolating the exponential as follows:

8e^x = 5.

e^x = 5/8.

The natural logarithm(symbolized by the ln) is the opposite of the exponential function, hence the logarithmic form of the equation is presented as follows:

ln(e^x) = ln(5/8).

As stated above, the natural logarithm and the exponential functions are inverse functions, meaning that:

ln(e^x) = x.

Thus the logarithmic form of the exponential equation 8e^x-5 = 0 is given as follows:

x = ln(5/8).

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Answer:

Step-by-step explanation:

b

Answer:

45

Step-by-step explanation:

dndjdjdbdhyejs ccx xhdidCruz s officials Wii is

Answer:

y = 1/2x + 4

Step-by-step explanation:

The slope intercept form is y = mx + b

m = the slope

b = y-intercept

Slope = rise/run or (y2 - y1) / (x2 - x1)

Points (-2,3) (2,5)

We see the y increase by 2 and the x increase by 4, so the slope is

m = 2/4 = 1/2

The y-intercept located at (0,4)

So, the equation is y = 1/2x + 4

Answer:

they want u to replace the letters with the numbers and then solve the equation. so instead of having c/a+2b they want you to write 6/3+2(-4)

then they want u to solve it. 6/3=2 and 2(-4)=-8 finally add 2 and -8 to get the answer -6. (you probably need to write it step by step not just say what the answer is)

Step-by-step explanation:

Answer:

I'm pretty sure the answer is F

Answer:

IS F

Step-by-step explanation:

I already did this work.

For the answer of factors of expression (12 + 54), in the form of a(b + c), where a is the GCF of 12 and 54 is equals to 6( 2 + 9).

In math, to factor a number means to express it as a product of (other) whole numbers, called its factors. For example, if 7x5 = 35, 7 and 5 are both factors. The divisors that give the remainder to be 0 are the factors of the number. We have an expression of numbers, 12 + 54. We have to write this expression in form of a( b + c), where a is GCF of 12 and 54. Now, we can write the factors of 12 and 54 are 12 = 2×2×3

54 = 2×3 ×3×3

The greatest common factor, GCF of 12 and 54 is 2×3 = 6. So, 12 + 54 = 6× 2 + 6×9

Taking out the common factor 6 from above expression, 6( 2 + 9) which is required form a( b + c). Hence, required expression is 6( 2 + 9).

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When testing the ball bearings of a certain type, if the average diameter is found to be significantly different from 0.5 inch,

it would indicate that there may be issues with the manufacturing process or the quality of the materials used.

A lower average diameter may suggest that the bearings are being manufactured with insufficient materials or using inaccurate machinery, leading to inconsistencies in the size and shape of the bearings.

Conversely, a higher average diameter may suggest that the manufacturing process is producing bearings that are too large and may not fit properly in the intended machinery.

In either case, it would be important to investigate the cause of the discrepancy and take corrective measures to ensure that the bearings meet the required specifications.

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\(\log_x (1)+\log_y (y)\\\\=\log_x x^0 + 1\\\\=0\cdot \log_x x +1\\\\=0+1\\\\=1\)

Answer:

\(\frac{-7}{10}\ or \ 0.7\)

Step-by-step explanation:

step 1.

\(\frac{1}{3} (\frac{-6}{4}-\frac{1}{2}(\frac{6}{5}))\)

step 2.

put it in a calculator

step 3

=\(\frac{-7}{10}\ or \ 0.7\)

8x+9y-1

Step-by-step explanation:

5x+7y-12 + 3x-5y+2

2x+12y-10 - 6x+3y+9

8x+9y-1

It is possible to use a relational operator and math operators in the same expression.

In programming, you can use relational operators (e.g., <, >, ==, !=) and math operators (e.g., +, -, *, /) together in the same expression. This is often used in conditional statements or loops to compare calculated values.

For example, consider the following expression:

`if (2 * 3) > (4 + 1)`

In this expression, we have math operators (*) and (+) and a relational operator (>). The math operations are evaluated first, resulting in:

`if (6) > (5)`

Then, the relational operator (>) is evaluated, and the expression becomes:

`if True`

The expression is true because 6 is greater than 5.

It is possible to use both relational operators and math operators in the same expression, which can be useful in various programming situations such as conditional statements or loops.

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These Are some reasons why are you stressed :

Mental health conditions, such as depression, or a building sense of frustration, injustice, and anxiety.

Answer:

Its highschool its stressful

Step-by-step explanation:

Yes, there is evidence to suggest that the sex of individuals and their online book purchasing habits are associated.

Null Hypothesis (H0): The sex of individuals and their online book purchasing habits are independent.

Alternative Hypothesis (HA): The sex of individuals and their online book purchasing habits are associated.

We will calculate the expected frequencies assuming independence:

Expected frequency for men who purchased books online:

= (227/427) * (46 + 35)

= 78.34.

Expected frequency for men who did not purchase books online:

= (227/427) * (227 - 46 + 200 - 35)

= 148.66

Expected frequency for women who purchased books online:

= (200/427) * (46 + 35)

= 41.66

Expected frequency for women who did not purchase books online:

= (200/427) * (227 - 46 + 200 - 35)

= 108.34

Chi-square = \([(observed - expected)^2 / expected]\)

The observed frequencies are:

chi-square = \([(46 - 78.34)^2 / 78.34] + [(181 - 148.66)^2 / 148.66] + [(35 - 41.66)^2 / 41.66] + [(165 - 108.34)^2 / 108.34]\)

chi-square = 5.887

df = (2 - 1) * (2 - 1) = 1

Using a significance level of 0.05, the critical value of chi-square for df = 1 is 3.841.

Since the calculated chi-square value (5.887) is greater than the critical value (3.841), we reject the null hypothesis. Therefore, there is evidence to suggest that the sex of individuals and their online book purchasing habits are associated.

Full question:

A survey of 427 randomly chosen adults finds that 46 of 227 men and 35 of 200 women had purchased books online. Is there evidence that the sex of the person and whether they buy books online are​ associated?

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The constant of variation is 3.6

The inverse variation property states that , whenever the product of values of two quantities is a constant value then there is opposite variation between these two corresponding values. Or we can also say that if the productive nature of two corresponding values is constant, then one quantity is inversely varies with second quantity. That means, we can say that if one values will increase then other will automatically decrease and vice versa.

Let say if x and y are two values and k is a constant value, then

According to inverse variation

k = xy or y = k/x

In the given question,

Take the order pair (0.9,4)

As it is an inverse variation, we can substitute it

y=k/x  

Now find the constant of variation

4=k/0.9

K=3.6

Therefore, constant of variation is 3.6

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Answer:

r=2

Step-by-step explanation:

To find the slope, we take the difference in the y values over the difference in the x values

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

2 = ( 9-3)/ (5-r)

2 = (6)/(5-r)

Multiply each side by (5-r)

2 ( 5-r) = 6

Divide each side by 2

5-r = 6/2

5-r = 3

Subtract 5 from each side

5-r-5 = 3-5

-r = -2

r = 2

Answer:

r = 2

Step-by-step explanation:

To solve this problem, we have to use the following formula for slope:

\(\boxed{m= \frac{y_2 - y_1}{x_2 - x_1}}\),

where \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of two points.

We are given the coordinates \((r, 3)\) and \((5, 9)\), and told that \(m = 2\). To find the value of r, we have to substitute the given values into the formula and then solve for r :

\(2 = \frac{9 - 3}{5-r}\)

⇒ \(2 = \frac{6}{5-r}\)

⇒ \(2\times (5-r) = \frac{6}{5-r} \times (5 - r)\)         [Multiplying both sides by (5 - r)

⇒ \(2(5-r) = 6\)

⇒ \(\frac{2}{2}(5-r) = \frac{6}{2}\)                                [Dividing both sides by 2]

⇒ \(5- r = 3\)

⇒ \(5 - r - 5 = 3 - 5\)                         [Subtracting 5 from both sides]

⇒ \(-r = -2\)

⇒ \(\frac{-r}{-1}= \frac{-2}{-1}\)                                       [Dividing both sides by -1]

⇒ \(r = \bf 2\)

The length of one edge of the tabletop is 4.89 feet.

We know that square is a shape that has all the side equal. Based on this using the formula to find the length of edge of the tabletop.

The area of square table is given by the formula -

Area of square table = side²

We will keep the value of area of square table to find the value of side which will be length of edge

24 = side²

Side = ✓24

Taking square root for the value on right side of the equation

Side = 4.89

Hence, the length of one edge of the tabletop is 4.89 feet.

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A distribution in which all the values have the same frequency is called a rectangular distribution. This type of distribution is also known as a uniform distribution ,

because the probability of any given value occurring is equal to every other value in the distribution. Rectangular distributions can be represented graphically by a flat, straight line that runs across the entire range of values, indicating that each value has an equal chance of occurring.

This type of distribution is commonly used in probability and statistics, as well as in financial analysis and risk management. While rectangular distributions are relatively simple and easy to understand, they may not always accurately reflect the true nature of a dataset, particularly if there is a significant amount of variation or outliers.

It is important to note that bimodal and standard distributions have different properties and are not the correct terms for this scenario. Bimodal refers to a distribution with two distinct peaks, while standard distribution typically refers to a normal distribution with a mean of 0 and a standard deviation of 1.

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The given function f(x) = x² + x + 6 has a minimum value. Using the formula x = -b/2a, we find the x-coordinate of the minimum point as -1/2. Substituting this value back into the function, we get a y-coordinate of 5.75. Therefore, the parabola has a minimum value of 5.75. The correct answer is D.

The given function is f(x) = x² + x + 6. We can determine the maximum or minimum value of a parabola by analyzing its quadratic term (x²) coefficient.

In this case, the coefficient of the quadratic term is positive (1), indicating that the parabola opens upwards and has a minimum value.

To find the x-coordinate of the minimum point, we can use the formula x = -b/2a, where a is the coefficient of the quadratic term and b is the coefficient of the linear term.

For our function f(x), a = 1 and b = 1, so the x-coordinate of the minimum point is x = -1/(2*1) = -1/2.

Substituting this value back into the function, we can find the y-coordinate of the minimum point: f(-1/2) = (-1/2)² + (-1/2) + 6 = 1/4 - 1/2 + 6 = 5.75.

Therefore, the parabola modeled by function f has a minimum value of 5.75. Hence, the correct answer is D.

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The correct question would be as

Select the correct answer.

Consider function f.

f(x) = x² = x + 6

Which statement is true about the parabola modeled by function f?

A. The parabola has a maximum value of 0.5.

B. The parabola has a maximum value of 5.75.

C. The parabola has a minimum value of 0.5.

D. The parabola has a minimum value of 5.75.

The Construction is shown below.

Perpendicular lines are lines that intersect at a right (90 degrees) angle.

Given:

a) Steps for perpendicular line:

b) Perpendicular Bisector for triangle

So, if we extend the bisector they can meet inside, at center and outside the triangle.

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Mary's monthly pension benefit is $3,649.80.

First, we have to find the average salary.

The average is the sum of the salaries divided by the number of salaries.

($78,000 + $80,000)/2 = $79,000

Next, we can find the annual retirement rate.

The annual retirement pension is the product of the average, the rate and the number of years employed.

$79,000 x 1.98% x 28 = $43,797.60

Finally, we can find the monthly retirement pension.

The monthly retirement pension is then the annual retirement pension divided by the number of months in a year.

There are 12 months in a year.

$43,797.60 / 12 = $3,649.80

Therefore, Mary's monthly pension benefit is $3,649.80.

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X is a connected set but not a path-connected set. X={x,0xe[0,1}U{1/nyneN,ye{0,1]}U{0,1}.

To prove that X is connected, let us assume that X can be divided into two disjoint non-empty open sets A and B. Since X is the union of different points, any point in X will be in either A or B. Let us take an arbitrary point p in A. Since A is open, there is an open ball centered at p that is contained in A. Because B is disjoint from A, it follows that every point in this ball is also in A. By a similar argument, any point in B must have a ball centered at that point that is entirely contained in B. Thus, X must be either in A or B and hence, cannot be divided into two disjoint non-empty open sets. However, X is not path-connected since there is no path between points in [0,1] x {0} and {1} x {1}. Thus, it is connected but not path-connected.

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Answer:

83.4

Step-by-step explanation:

Answer:

83.4 is the rounded answer.

Evaluated: a=2b/5    :):):):):):):)

2/5a=b and5 /Answer:

Step-by-step explanation:a=

2b

Answer:

.8

Step-by-step explanation:

Answer:

Therefore, the length of the hypotenuse of the 45°-45°-90° triangle is 32 centimeters.

Step-by-step explanation:

In a 45°-45°-90° triangle, the two legs are congruent, which means that each leg is equal to the length of the hypotenuse divided by √2.

Let h be the length of the hypotenuse. Then we have:

leg = h/√2

Given that one of the legs is 8√8 centimeters, we can substitute this value into the equation above to solve for h:

8√8 = h/√2

Multiplying both sides by √2, we get:

8√8 x √2 = h

Simplifying, we get:

h = 8√16

h = 8 x 4

h = 32

Therefore, the length of the hypotenuse of the 45°-45°-90° triangle is 32 centimeters.

Answer:

cosA ≈ 0.55

Step-by-step explanation:

cosA = \(\frac{adjacent}{hypotenuse}\) = \(\frac{AC}{AB}\) = \(\frac{6}{11}\) ≈ 0.55 ( to the nearest hundredth )

The critical numbers of the function 9(x) = 8Xcosh(10x) X are -0.107 and 0.107.

To find the critical numbers of the function 9(x) = 8Xcosh(10x) X, we first need to compute its derivative.

We can use the product rule for this purpose.Let's say f(x) = 8X and g(x) = cosh(10x),

then we have:f'(x) = 8g(x)f''(x) = 8g'(x)f'''(x) = 8g''(x)

Now we can compute the derivative of the function 9(x)

using the product rule as follows:(9(x))' = (8x cosh(10x))' + (8 cosh(10x))x' = 8cosh(10x) + 8x(10sinh(10x)) = 8(cosh(10x) + 10xsinh(10x))

We can now set this derivative equal to zero and solve for x to find the critical points.8(cosh(10x) + 10xsinh(10x)) = 0cosh(10x) + 10xsinh(10x) = 0

We can then use numerical methods or algebraic manipulation to solve this equation. One possible method is to divide both sides by cosh(10x) and obtain the equation:1 + 10xtanh(10x) = 0

We can then use numerical methods or algebraic manipulation to solve this equation.

One possible method is to use a graphing calculator or a computer program to graph the function y = 1 + 10xtanh(10x) and find its zeros.

We can then use the zeros as the critical points of the original function. The critical points are approximately -0.107 and 0.107.

Therefore, the critical numbers of the function 9(x) = 8Xcosh(10x) X are -0.107 and 0.107.

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JB Hi Fi is an Australian electronics retailer with over 250 stores in Australia and New Zealand. The company faces a number of financial and non-financial risks.

Financial risks

Non-financial risks

JB Hi Fi can manage these risks by implementing a number of risk management techniques.

By implementing these risk management techniques, JB Hi Fi can reduce its exposure to financial and non-financial risks and improve its chances of long-term success.

In addition to the above, JB Hi Fi can also take steps to improve its ESG performance. This could include:

By improving its ESG performance, JB Hi Fi can attract more customers and investors, and build a more sustainable business.

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