1/2+2/3×1/2

identify the learner's misconceptions analyse the answer​

Answer:

-14

Step-by-step explanation:

so fitsy 18+2x=-10

-18 on both sides

2x=-28

divide by two

x=-14

The slope of the line on the graph is - 2

The given parameter is the line on the graph

From the above graph, we have the following points

(x₁, y₁) = (0, 0)

(x₂, y₂) = (3, -6)

The slope of a line can be calculated using the following slope formula

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x₁, y₁) = (0, 0) and (x₂, y₂) = (3, -6)

Substitute the known values in the above equation

So, we have the following equation

Slope = (-6 - 0)/(3 -0)

Evaluate the quotient

Slope = -2

Hence, the slope is -2

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3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

To express 3 1/2 cups as a multiplication expression using the unit "1 cup" as a factor, you can write it as:

3 1/2 cups = (3 + 1/2) cups = 3 cups + 1/2 cup

Since there are 1 cup in each term, we can rewrite it as:

3 cups + (1/2) cup

Now, we can express each term as a multiplication expression:

3 cups = 3 * 1 cup = 3

(1/2) cup = (1/2) * 1 cup = 1/2

Putting it all together, the multiplication expression is:

3 * 1 cup + (1/2) * 1 cup = 3 + 1/2

Therefore, 3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

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Answer:

Bloomberg Business week NorthAmerica Subscribers

; Quantitative ; Qualitative ; No ; Yes ; No

Step-by-step explanation:

Sample size = 2861

Percentage respondent with annual income ≥ 75000 = 59%

Percentage having an American Express credit card

1.What is the population of interest in this study?

Bloomberg business week NorthAmerica Subscribers

2. Quantitative

Annual income is quantitative because it is numeric, that is repress red by numbers which can be used to perform sensible numerical computation such as additions, mean, multiplication and so on.

3.Qualitative

No ; ownership of an American express card is a Qualitative variable as it will take responses as (yes or no), even when represented or coded as numbers, it will make no numerical sense to peform mathematical calculations with it.

4.

No ; time series data has to do with data collected with respect to a particular month, year or seasonal data.

5. Determine whether the following two statistical inferences may be made based on the sample data collected.

An estimated 59% of the population of subscribers has an annual income of $75,000 or more.

Yes ;

An estimated 60% of the population of subscribers has an American Express credit card.

No ; the research says 50% and not 60%

Based on the information in the image, it can be inferred that the sides of the box measure 5 cm each.

To find the measure of the sides of the box we must carry out the following mathematical procedure:

As we know the volume of a cube is the equivalent to the length of its sides raised to the cube (raised to the 3). In this case, to identify the value of the sides we must find the cube root of the volume and the result is the length of the sides.

So this cube has a volume of 125cm³, so its sides would be the cube root of 125.

\(\sqrt[3]{125} = 5\)

According to the above, the length of the sides is 5 taking into account that all the sides are equal.

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Answer:

\(a_{87}=1119\)

Step-by-step explanation:

Arithmetic sequence:

\(a_n=a_1+(n-1)d\)

where d is the common difference between terms and n is the index of any given term.

Find the difference between the terms in the given sequence here:

\(14-1=13\\27-14=13\)

Each term has a common difference of 13. Using that, you can write the equation for this sequence:

\(a_n=1+(n-1)13\)

Finally, you can use this equation to find the 87th term by plugging in 87 for n:

\(a_{87}=1+(87-1)13\\a_{87}=1+(86)13\\a_{87}=1+1118\\a_{87}=1119\)

Answer:

a: 3/2, -2 b: 1/5, -1/2 c: 3/2, -4

Step-by-step explanation:

a: 2x^2+x=6

Subtract 6 from both sides.

2x^2+x−6=6−6

2x^2+x−6=0

Factor left side of equation.

(2x−3)(x+2)=0

Set factors equal to 0.

2x−3=0 or x+2=0

b: 10a^2+3a=1

Subtract 1 from both sides.

10a^2+3a−1=1−1

10a^2+3a−1=0

Factor left side of equation.

(5a−1)(2a+1)=0

Set factors equal to 0.

5a−1=0 or 2a+1=0

c: 2c^2+5c=12

Subtract 12 from both sides.

2c^2+5c−12=12−12

2c^2+5c−12=0

Factor left side of equation.

(2c−3)(c+4)=0

Set factors equal to 0.

2c−3=0 or c+4=0

#1

#2

#3

The solution of Unit Problem is Solution of first part is As the contribution margin is positive, accepting the special sales order would be profitable for Hobby-Cardz,and second part is  total profit is negative

Contribution margin is the difference between a product's revenue and its variable costs. It represents the amount of money that is available to cover fixed costs and contribute to profit.

1)Incremental Analysis without special order:

Revenue from 51,000 packs at $0.43 per pack = $21,930

Total variable costs for 51,000 packs = 51,000 x $0.33 = $16,830

Contribution margin = $21,930 - $16,830 = $5,100

As the contribution margin is positive, accepting the special sales order would be profitable for Hobby-Cardz.

2)Incremental Analysis with special hologram baseball cards:

In addition to the incremental analysis performed in Part 1, we need to consider the additional cost of $5,300 to develop the hologram.

Revenue from 51,000 packs at $0.43 per pack = $21,930

Total variable costs for 51,000 packs = 51,000 x $0.33 = $16,830

Contribution margin = $21,930 - $16,830 = $5,100

Less: Additional cost of hologram development = $5,300

Total profit/loss = $5,100 - $5,300 = ($200)

As the total profit is negative, accepting the special sales order with the hologram development cost would result in a loss of $200. Therefore, Hobby-Cardz should not accept the special order under these circumstances.

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Answer:

Volume L× W × H

Volume 4 × 3 × 2

4 × 3 × 2 =24

If the fish poke is 6 feet long and she has a rectangular prism of 24 since 4 × 3 ×2 equals 24 then yes she can store the fishing pole in the box

24

The three integers are 24, 26 and 28 respectively.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given are three consecutive even integers.

Assume that the integers are -

x, (x + 2), (x + 4)

According to question -

x + x + 2 = x + 4 + 22

2x + 2 = x + 26

x = 24

x + 2 = 26

x + 4 = 28

Therefore, the three integers are 24, 26 and 28 respectively.

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Farid is able to produce 8 small pies.

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

here, we have,

Given: For the filling, Farid blends 1 pound of each blackberries, blueberries, and raspberries. Following that, he spoons 6 ounces of the filling into each tiny pie pan.

We need to find How many tiny pies can be made if he wants to use all of the filling.

Raspberries, blueberries, and blackberries, each weighing 1 pound, are combined by Faris for the filling.

3 pounds of filler total from 1+1+1= 3*16 ounces.

1 pound equals 16 ounces. = 48 ounces

Each little pie tin is filled with 6 ounces of filling by Faris.

48 ounces divided by 6 ounces equals 8 mini pies.

Hence, the Farid made 8 mini pies with 6 ounces.

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x^2 – 14x + 33 = 0

Complete the square

Remember that

14/2=7

so

(x^2-14x+7^2)-7^2+33=0

(x^2-14x+49)-49+33=0

Rewrite as perfecy squares

(x-7)^2-16=0

(x-7)^2=16

therefore

the answer is

The solution to the system of equations is (x, y) = (-261/47, 44/47) as an ordered pair.

To solve the given system of equations:

Equation 1: 8x + 9y = -36

Equation 2: x + 7y = 1

We can use the method of substitution or elimination to find the values of x and y. Let's use the method of substitution:

From Equation 2, we can solve for x:

x = 1 - 7y

Substituting this value of x into Equation 1:

8(1 - 7y) + 9y = -36

8 - 56y + 9y = -36

-47y = -44

y = 44/47

Substituting the value of y back into Equation 2 to find x:

x + 7(44/47) = 1

x + 308/47 = 1

x = 1 - 308/47

x = (47 - 308)/47

x = -261/47

Therefore, as an ordered pair, the solution to the system of equations is (x, y) = (-261/47, 44/47).

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Answer:

X-intercepts are also called zeros, roots, solutions, or solution sets.

Another word for "x-intercepts" is "roots" or "zeros." These terms are commonly used in the context of mathematics, particularly when dealing with functions or equations.

X-intercepts, roots, or zeros of a function are the values of the independent variable (usually denoted as "x") for which the function evaluates to zero.

In other words, they are the points on the graph of the function where it intersects the x-axis, hence the name "x-intercepts."

Mathematically, for a function f(x), the x-intercepts are the solutions to the equation f(x) = 0.

Finding the x-intercepts of a function is essential in graphing, solving equations, and understanding the behavior of the function.

These points represent the locations where the function crosses or touches the x-axis, indicating where the dependent variable (usually denoted as "y") is equal to zero.

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24  boxes were used this week

12 boxes of recycled paper were used last week
For this week double of this amount was used

When calculating double the amount that was used, this means we have to multiply the initial amount by 2

In this case, we have to multiply 12 by 2

= 12 × 2

= 24

Hence 24 boxes of recycled paper was used this week

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Answer:

14348907

Step-by-step explanation:

That's the right answer

One event is independent to another if its occurrence does not affect the probability of occurrence of the other.

A: You have a deck of cards. The first event is to pick a ten. Now, for the second event, you have one less card, so the probability for frawing another card will be affected. These are dependent events.

B: You pick a red marble, then you toss a coin. Your coin has nothing to do with the marbles, so your tossing will not be affected by the result of the marble picking event. These are independent events.

C & D: These examples are almost the same as the first one, so, dependent events.

The answer is B.

From the table , the insurance cost for the second year based on the prescription given is : $1329

Using the prescription table, the six cylinder compact , second year car with a mileage of 14000 falls in the mid table category with the 13000 mileage label .

The operating cost in insurance for the second year is therefore $1329.

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Answer:

Yes

Step-by-step explanation:

875 roses / 7 plants per row

875 / 7 = 125 rows, which is a whole number, meaning nothing is left over

The percentage 224% as a fraction is 56/25

The number is given as:

224%

Express as fraction

224% = 224/100

Simplify

224% = 56/25

Hence, 224% as a fraction is 56/25

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Answer:

The graph of the function appears to be a cosine function that has been shifted to the left by π/2 units, and has an amplitude of 4.

Option (a) is a cosine function that has been shifted to the left by π units, but does not have the amplitude of 4.

Option (b) is a cosine function that has a period of π/2, which is much shorter than the period of the graph.

Option (c) is a sine function that has been shifted to the right by π units, but does not have the amplitude of 4.

Option (d) is a cosine function that has been shifted to the left by π units and has the correct amplitude of 4.

Option (e) is not a cosine or sine function, so it cannot be the correct answer.

Therefore, the function represented by the graph is:

f(x) = -4 cos(x + π)

which is Option (d).

Step-by-step explanation:

It would take 10 men approximately 7.2 hours to dig the hole if they work at the same rate.

To find out how long it would take 10 men to dig the same hole if they work at the same rate, we can use the concept of man-hours.

We are given that 8 men can dig the hole in 9 hours.

This means that the total man-hours required to complete the task is 8 men \(\times\) 9 hours = 72 man-hours.

Since the number of men has increased to 10, we need to determine the new time it would take for them to complete the task at the same rate.

If we assume that the work rate remains constant, the total man-hours required to dig the hole would still be the same, which is 72 man-hours.

To find the new time, we divide the total man-hours by the number of men:

72 man-hours / 10 men = 7.2 hours.

Therefore, it would take 10 men approximately 7.2 hours to dig the hole if they work at the same rate.

Note: It's important to keep in mind that this calculation assumes a linear relationship between the number of men and the time taken.

In practice, other factors such as coordination and efficiency may come into play, potentially affecting the actual time required.

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Step-by-step explanation:

Based on the information given, we have a diagram with two sides labeled as 13.3 mm and 5.5 mm, and another side labeled as X mm.

To find the length of X, we can use the fact that the sum of the lengths of the sides of a triangle is equal to the perimeter.

Perimeter = 13.3 mm + 5.5 mm + X mm

The perimeter is the total distance around the triangle. Since we have three sides, the perimeter is the sum of the lengths of those sides.

To find X, we can subtract the sum of the known sides from the perimeter:

X mm = Perimeter - (13.3 mm + 5.5 mm)

Since the value of X is not given, we cannot calculate it without the perimeter value. If you provide the perimeter value, I can help you find the length of X.

The value of c in the triangle is (b) 5 units

From the question, we have the following parameters that can be used in our computation:

The right triangle

The length c is the hypotenuse of one of the triangles and can be calculated using the following Pythagoras theorem

c² = sum of squares of the legs

Using the above as a guide, we have the following:

c² = 3² + 4²

Evaluate

c² = 25

Take the square roots

c = 5

Hence, the hypotenuse of the right triangle is 5

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