if cos is the 4 quadrant

Answer:

[tex]v = \frac{7}{2}[/tex]

Step-by-step explanation:

By answering the question the answer is So the area of ​​the rectangle is area 1/2 square inch. 

The size of an area on a surface can be expressed as area. The open surface or boundary area of ​​a three-dimensional object is called the surface area, and the area of ​​the planar area or planar area refers to the area of ​​the shape or planar layer. The total amount of space occupied by a planar (2-D) surface or shape of an object is known as its area. Draw a square on paper with a pencil. two-dimensional character. The area of ​​a shape on paper is the space it occupies. Imagine a square made up of more compact unit squares.  

It's not entirely clear what shape is being referred to here, but assuming it's a 2 inch by 1/4 inch rectangle, you can calculate the area by multiplying the length and width of the rectangle.

Area = Length x Width

Area = 2" x 1/4"

Area = (2/1) inch x (1/4) inch

Area = 1/2 square inch

So the area of ​​the rectangle is 1/2 square inch. 

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By answering the question the answer is So the area of ​​the rectangle is area 1/2 square inch.

The size of an area on a surface can be expressed as area. The open surface or boundary area of ​​a three-dimensional object is called the surface area, and the area of ​​the planar area or planar area refers to the area of ​​the shape or planar layer. The total amount of space occupied by a planar (2-D) surface or shape of an object is known as its area. Draw a square on paper with a pencil. two-dimensional character. The area of ​​a shape on paper is the space it occupies. Imagine a square made up of more compact unit squares.  

It's not entirely clear what shape is being referred to here, but assuming it's a 2 inch by 1/4 inch rectangle, you can calculate the area by multiplying the length and width of the rectangle.

Area = Length x Width

Area = 2" x 1/4"

Area = (2/1) inch x (1/4) inch

Area = 1/2 square inch

So the area of ​​the rectangle is 1/2 square inch.

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Find the area of 2 inches long times 1/4

Using the properties of  absolute value function, proved that |x - y| > |x| - |y| is true for all x and y.

To prove that |x - y| > |x| - |y|, we can consider two cases

Case 1

x >= 0 and y >= 0

In this case, |x - y| = x - y and |x| - |y| = x - y. So we have

|x - y| = x - y

| x | - | y | = x - y

Substituting these expressions into the original inequality, we get:

x - y > x - y

This inequality is true for all x and y where x >= 0 and y >= 0, since the difference between x and y is always greater than or equal to zero.

Case 2

x < 0 and y < 0

In this case, |x - y| = -(x - y) and |x| - |y| = -x + y. So we have:

|x - y| = -(x - y)

| x | - | y | = -x + y

Substituting these expressions into the original inequality, we get

-(x - y) > -x + y

Simplifying both sides, we get

y - x > -x + y

Adding x to both sides, we get

y > 0

This inequality is true for all x and y where x < 0 and y < 0, since both x and y are negative and the difference between x and y is always less than or equal to zero.

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Using the discriminant of the quadratic equation, the temperature will part after 50 minutes

The temperature of the machine part is given by the equation:

T = -0.005x^2 + 0.45x + 125

We need to find out if the temperature will ever reach or exceed 135°F, which means we need to check if there exists a value of x for which T = 135.

Substituting T = 135 in the above equation, we get:

135 = -0.005x^2 + 0.45x + 125

Simplifying the equation, we get:

0.005x^2 - 0.45x + 10 = 0

This is a quadratic equation of the form ax^2 + bx + c = 0, where a = 0.005, b = -0.45, and c = 10.

The discriminant of this quadratic equation is given by:

D = b^2 - 4ac

= (-0.45)^2 - 4(0.005)(10)

= 0.2025 - 0.2

= 0.0025

Since the discriminant is positive, the quadratic equation has two real roots. Therefore, the temperature of the machine part will cross 135°F at some point during the operation.

We can also find the roots of the quadratic equation using the formula:

[tex]x = (-b \± \sqrt(D)) / 2a[/tex]

Substituting the values of a, b, and D, we get:

[tex]x = (0.45 \± \sqrt(0.0025)) / 2(0.005)\\= (0.45 \± 0.05) / 0.01[/tex]

Taking the positive value, we get:

x = 50

Therefore, the temperature of the machine part will cross 135°F after 50 minutes of operation.

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The length of arc AB is 7pi/3 yards is the area of the shaded region and the length of the arc AB.

what is circle?

A circle is a geometric shape that consists of all points in a plane that are equidistant from a fixed point called the center.

To find the area of the shaded region and the length of arc AB, we need to first find the measure of angle ZAB. Let's call this angle x.

Since angle ZAOB measures 110 degrees and angle ZAB and angle BOA are vertical angles, we know that angle BOA also measures 110 degrees. Therefore, angle ZAB + angle BOA = 180 degrees.

So, we can write:

x + 110 = 180

Solving for x, we get:

x = 70

Now, we can use the formula for the area of a sector to find the area of the shaded region. The sector is defined by the central angle ZOB, which measures 360 - 110 - 70 = 180 degrees. So, we have:

Area of shaded region = (180/360) * pi * 6^2 = 18pi

Therefore, the area of the shaded region is 18pi square yards.

To find the length of arc AB, we can use the formula:

Length of arc AB = (x/360) * 2 * pi * 6

Plugging in x = 70, we get:

Length of arc AB = (70/360) * 2 * pi * 6 = 7pi/3

Therefore, the length of arc AB is 7pi/3 yards.

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The graph illustrates the linear inequality [tex]y > x - 2[/tex] and [tex]x - 2y < 4[/tex].

The equation-like form of the formula 5x 4 > 2x + 3 has an arrowhead in lieu of the equals sign. That is an illustration of inequity. This shows that the left half, 5x 4, is bigger than the right part, 2x + 3. Finding the x numbers where the inequality holds true is what we are most interested in.

In mathematics, "inequality" means the connection between two reactions or values that is not equal to one another. As either an outcome, inequality occurs because of an imbalance.

We can see that the shaded region is above the line [tex]y = x - 2[/tex], which represents the inequality [tex]y > x - 2[/tex]. Additionally, the shaded region is below the line [tex]x - 2y = 4[/tex], which represents the inequality [tex]x - 2y < 4[/tex].

As a result, the graph's representation of a linear inequality arrangement is as follows:

[tex]y > x - 2[/tex] and [tex]x - 2y < 4[/tex]

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Answer:

d

Step-by-step explanation:

The required value of TV is 2 units.

A parallelogram is a straightforward quadrilateral with two sets of parallel edges in Euclidean geometry. A parallelogram's confronting or opposing sides are of equal length, and its opposing angles are of equal size.

We have given that;

TW = y²

WV = 2y − 1

We know that in parallelogram

TW = WV

y² = 2y − 1

y² - 2y + 1 = 0

y² - y - y + 1 =0

y(y - 1)-1(y - 1) = 0

(y - 1)(y - 1) = 0

(y - 1)² = 0

y - 1 = 0

y = 1

So;

TV = TW + WV

TV = y² + 2y − 1

TV = 1² + 2(1) - 1

TV = 1 + 2 - 1

TV = 2 units

Thus, required value of TV is 2 units.

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Therefore, the average rate of change between the points (3,9) and (5,15) is 3.

Coordinates are a set of values that locate the position of a point in space. In mathematics, coordinates are used to represent the position of points on a plane or in space, using a set of numerical values that correspond to the distance along each axis from an origin point. In two-dimensional Cartesian coordinate systems, for example, a point is represented by two numbers (x, y) that indicate its position relative to the x and y axes. In three-dimensional Cartesian coordinate systems, a point is represented by three numbers (x, y, z) that indicate its position relative to the x, y, and z axes.

Here,

The average rate of change between the points (3,9) and (5,15) is the slope of the line passing through those two points. We can use the slope formula:

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

where (x1, y1) = (3,9) and (x2, y2) = (5,15).

slope = (15 - 9) / (5 - 3)

= 6 / 2

= 3

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Answer:

[-3, 7].

Step-by-step explanation:

do i need to explain all that?

Answer:

The inequality can be rewritten as x-7 ≤ 50, which we can solve by adding 7 to both sides to get x ≤ 57.

Step-by-step explanation:

It seems like there are multiple questions combined in this one prompt. I will break them down and provide solutions for each one.

Solution for O x≤-3 or 2 Ox<-3 or 2 O-3≤x≤2 or x > 7:

To find the solution for this inequality, we need to solve each part separately and then combine the solutions using the union (OR) operation.

a) x ≤ -3: This part is already solved for x. The solution is x ≤ -3.

b) 2x < -3: We divide both sides by 2 to isolate x and get x < -3/2.

c) 2 ≤ x ≤ -3: This is not possible as there is no number that is both greater than or equal to 2 and less than or equal to -3.

d) x > 7: This part is already solved for x. The solution is x > 7.

The solution to the entire inequality is the union of these solutions: x ≤ -3 OR x < -3/2 OR x > 7.

Solution for x²+x-6 < 0

To solve this quadratic inequality, we can factor it as (x-2)(x+3) < 0 and use the sign chart method.

We create a sign chart for the expression (x-2)(x+3) and test the sign of the expression in each interval

  -3         2

  ---|-------|---

    -         +

(x-2) - 0 + +

(x+3) - - - 0 +

-------------

- + - 0 +

The sign chart tells us that the expression is negative when x is between -3 and 2. Therefore, the solution to the inequality is -3 < x < 2.

Solution for x-7 ≤ 50₂

It seems like the expression "50₂" is intended to represent the number 50 in base 2 (binary). To convert this number to base 10 (decimal), we can write 50₂ as

50₂ = 12^5 + 12^4 + 02^3 + 02^2 + 12^1 + 02^0 = 32 + 16 + 2 = 50

Therefore, the inequality can be rewritten as x-7 ≤ 50, which we can solve by adding 7 to both sides to get x ≤ 57.

The cost of each item would be = $1.5 each of cup of coffee and donuts.

For yesterday, the number of donut he ordered = 6

The number of cup of coffee he ordered = 8cup

Total cost = $21

The total number of items he ordered = 6+8 = 14

The cost for donuts alone,

= 6/14× 21/1

= 126/14

= $9

The cost of each donut = 9/6 = $1.5

The cost of cup of coffee ;

= 8/14× 21/1

= 168/14

= 12

for each cup of coffee;

= 12/8

=$1.5

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For point M, we have  x-coordinate cos( 5π/ 6) ≈0.5  y-  match sin( 5π/ 6) =0.9

 Since thex-coordinate is positive and the y-  match is negative, we know that the angle lies in the alternate quadrant.

We can find another angle in the alternate quadrant that has the same sine and cosine values by abating 2π from the angle. thus, the two real  figures that determine point M are   5π/ 6 and 5π/ 6- 2π = -7 π/ 6  Simplifying, we get  

Two real  figures that determine M 5π/ 6,-7 π/ 6  For the other points, we can use the same  system  

Two real  figures that determine N π, π  Two real  figures that determine P 5π/ 4, 5π/ 4- 2π = -3 π/ 4  Two real  figures that determine Q 7π/ 6, 7π/ 6- 2π = -5 π/ 6 .

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Answer: 42

Step-by-step explanation:

1. 1/3=14

2. 14x3=42

The objective function that must be minimized is:

z = 40x + 50y

subject to the constraints:

0x + 4y ≥ 4 (protein constraint)

3x + 2y ≥ 11 (carbohydrate constraint)

2x + 4y ≤ 16 (fat constraint)

We want to find the number of ounces of fruit (x) and nuts (y) that will meet the requirement with the least number of calories.

Solving the system of inequalities, we get:

x = 2 ounces

y = 2 ounces

Therefore, the dietician should use 2 ounces of fruit and 2 ounces of nuts. These amounts will have a total of 180 calories (402 + 502).

Answer:

Step-by-step explanation:

Let's assume we need x ounces of fruit and y ounces of nuts to meet the requirements with the least number of calories. Then, the problem can be expressed as an optimization problem:

Minimize: 40x + 50y (since we want to minimize the number of calories) Subject to:

0x + 4y ≥ 4 (we need at least 4 units of protein)3x + 2y ≥ 11 (we need at least 11 units of carbohydrates)2x + 4y ≤ 16 (we cannot have more than 16 units of fat)

To solve this problem, we can use the simplex method. First, we convert the problem to standard form by introducing slack variables:

Minimize: 40x + 50y Subject to:

0x + 4y + s1 = 43x + 2y + s2 = 112x + 4y + s3 = 16

Now we can create the initial simplex tableau:

xys1s2s3RHSs1041004s23201011s32400116z-40-500000

We want to find the minimum value of z, so we need to choose the variable with the most negative coefficient in the bottom row as the entering variable. In this case, that is y. We then choose the variable with the smallest non-negative ratio between the right-hand side and the coefficient of the entering variable in its row as the leaving variable. In this case, that is s3, since 16/4 = 4 is the smallest non-negative ratio.

We then perform the pivot operation to eliminate the coefficient of y in the other rows:

     x  y  s1s2s3RHSs1001-214y3/2101/2-1/24s2-1001-1/25z-100025-15200

We repeat this process until all the coefficients in the bottom row are non-negative. The final tableau is:

x

If Andres Michael bought a new boat. He took out a loan for $24,420 at 3.5% interest for 2 years. Andres Michael owes $18806.6 at maturity.

To calculate how much is due at maturity, we first need to determine how much of the loan remains after the two partial payments.

To do this, we can use the formula for simple interest:

I = P * r * t

Where:

I = Interest

P = Principal (original loan amount)

r = Annual interest rate

t = Time (in years)

The interest for the first two months can be calculated as:

I1 = P * r * t1

= 24420 * 0.035 * (2/12)

= 142.45

So after the first two months, the amount owing on the loan is:

P1 = P + I1 - 4330

= 24420 +142.45 - 4330

= 20,232.45

The interest for the next four months can be calculated as:

I2 = P1 * r * t2

= 20,232.45 * 0.035 * (4/12)

= 236.05

So after six months, the amount owing on the loan is:

P2 = P1 + I2 - 2600

=  20,232.45 + 236.05- 2600

= 17868.50

Now we can calculate the interest for the remaining 18 months:

I3 = P2 * r * t3

=  17868.50* 0.035 * (18/12)

= 938.10

So the total amount owing at maturity (after 2 years) is:

Total amount owing = P2 + I3

=  17868.50 + 938.10

= 18806.6

Therefore, Andres Michael owes $18806.6 at maturity.

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Answer: No, Chaz is not correct. Although their balances are both negative, we cannot compare them simply based on their numeric values. The magnitude of the balance does not indicate who owes more to the bank, as it depends on various factors such as account activity, fees, and interest rates. We would need to know more information about their accounts, such as the interest rates and any fees, in order to determine who owes more to the bank.

Excluding the bank fees Chaz would technically be correct.

No, Chaz is not correct.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

No, Chaz is not correct.

Although both Chaz and Will have negative checking account balances, we cannot determine who owes more to the bank based solely on the balance amount.

The balance amount only indicates how much money they owe to the bank, but it does not give any information about the amount they initially deposited or any other financial transactions they may have made.

To determine who owes more to the bank, we would need to know the initial deposit amount, the transaction history, and any fees or interest charges that have been applied to the accounts.

Without this additional information, we cannot accurately compare the two balances or determine who owes more to the bank.

Thus,

No, Chaz is not correct.

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The graph of this sinusoidal function can be drawn as shown in the diagram below. As the Ferris wheel rotates, the position of the seat varies sinusoidally with respect to time.

Graph is a type of diagram used to represent information using a network of points and lines that connect them. It is a powerful data visualization tool that can help to effectively convey information and make relationships between data sets easier to understand. Graphs can be used to represent a wide variety of data types such as numerical, categorical or time-series data. Graphs are commonly used in mathematics, physics, biology, engineering, economics, and other disciplines.

b. The lowest point the seat reaches is 0 feet above ground, as the Ferris wheel makes a full rotation.

c. An equation of this sinusoid can be written as y = A sin (Bt + C), where A is the amplitude, B is the angular frequency, t is time, and C is the phase shift.

d. When you have been riding for 4 seconds, your height above ground is 43 feet.

e. Using Desmos, the first three times your height is 18 feet above ground can be found by solving the equation y = 18. The solutions are t = 0.715 seconds, t = 4.715 seconds, and t = 8.715 seconds.

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The function f(n) = n - 3 maps distinct integers to distinct integers, and thus is injective.

(a) The function f(n) = n - 3 is one-to-one (injective). To prove this, suppose that f(a) = f(b) for some integers a and b. Then, we have a - 3 = b - 3, which implies a = b. Therefore, the function f(n) = n - 3 maps distinct integers to distinct integers, and thus is injective.

(b) The function f(n) = n^2 - 1 is not one-to-one (not injective). To see this, note that f(1) = f(-1) = 0, so different inputs map to the same output. In general, for any positive integer k, we have f(k) = f(-k), since (k^2 - 1) = ((-k)^2 - 1). Therefore, the function f(n) = n^2 - 1 is not injective.

(c) The function f(n) = n^5 is one-to-one (injective). To prove this, suppose that f(a) = f(b) for some integers a and b. Then, we have a^5 = b^5, which implies a = b (since the fifth root of a non-zero real number is unique). Therefore, the function f(n) = n^5 maps distinct integers to distinct integers, and thus is injective.

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Answer:

Step-by-step explanation:

By choosing the LIFO method for inventory, the following items would be decreased (compared to what would have happened if they chose to use FIFO):

Net income

Taxes payable

Total assets

Owner's equity

This is because the LIFO method results in higher cost of goods sold and lower ending inventory, which in turn decreases net income and taxes payable. Lower ending inventory also decreases total assets and owner's equity.

The items that would be decreased by the choice of LIFO (compared to what would have happened if they chose to use FIFO) are Ending inventory and Net profit

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

We are given that;

Inventory costs in 2012 were rising

Now,

LIFO stands for last-in, first-out, and FIFO stands for first-in, first-out. These are two ways of assigning costs to the units of inventory that you sell. FIFO assumes that you sell the oldest units first, while LIFO assumes that you sell the newest units first1.

The choice of LIFO or FIFO has implications on a company’s financial statements as this decision impacts the value of inventory, cost of goods sold, and net profit2. If inventory costs are rising during a period, then LIFO will result in a lower value of ending inventory, a higher cost of goods sold, and a lower net profit compared to FIFO1.

Therefore, by unitary method the answer will be Ending inventory and Net profit

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The average case complexity is a measure of the expected performance of an algorithm when the input is chosen randomly. The average case complexity of binary search is O(log n), where n is the size of the input.

Average case complexity is a measure of the expected running time of an algorithm when it is run on inputs that are drawn randomly from a specified probability distribution. The average case complexity provides a more realistic estimate of the performance of an algorithm in real-world scenarios.

For binary search, the average case complexity can be derived by considering the probability distribution of the search key in the sorted input array. Assuming a uniform distribution of search keys, the probability of finding a key at any position in the array is 1/n, where n is the size of the array.

Let T(n) be the average case time complexity of binary search on an input array of size n. In the best case, the search key is found in the middle of the array in O(1) time. In the worst case, the search key is not present in the array, and the algorithm performs O(log n) comparisons.

In the average case, the probability of finding the key at any position is 1/n, and the number of comparisons required to find the key is proportional to the distance between the key and the middle of the array. Therefore, the average number of comparisons required in the average case is:

1/n * (1 + 2 + ... + n-1) = (n-1)/2n

Thus, the average case time complexity of binary search is O((n-1)/2n) = O(log n), which is the same as the worst-case time complexity.

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To calculate the actual distance in km, we need to use the scale factor of 1:100 000. This means that 1 cm on the map is equivalent to 100 000 cm in real life.

Therefore, 12.3 cm on the map is equivalent to 12.3 x 100 000 cm in real life.

Now, 1 km is equivalent to 100 000 cm.

Therefore, 12.3 x 100 000 cm is equivalent to 1.23 km.

Hence, the actual distance in km is 1.23 km.

ADC & BCD are congruent triangles (by SAS postulate). Since triangle ADC & BCD are congruent according to the SAS postulate, we may utilize CPCTC to determine that section AC is equal to segment BD.

In arithmetic progression, the triangles 3: 4: 5 are the only ones with edges. Pythagorean triple-based triangles are Herodian, which means they have integer areas and sides.

The easiest approach I've found to know for sure if an aspect is 90 degrees is to use the 3:4:5 triangle. According to this rule, a triangle is said to be a right triangle if one of its sides is 3 and the other is 4.

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If cotθ = 3/4 then cosθ = -3/5 is the right option according to the rules of trigonometry.

Trigonometry is a branch of mathematics that deals with the study of relationships between the sides and angles of triangles. It is primarily concerned with the study of the six trigonometric functions: sine, cosine, tangent, cosecant, secant, and cotangent, and their applications in various fields such as engineering, physics, and navigation.

A triangle is a three-sided polygon, and its angles are the angles formed by the intersection of its sides. The sum of the angles in a triangle is always 180 degrees.

First, we know that cot(0) = adjacent / opposite = 3/4.

In quadrant 3, the adjacent side is negative and the opposite side is positive, so we can draw a right triangle in quadrant 3 with adjacent side -3 and opposite side 4.

The hypotenuse can be found using the Pythagorean theorem.

h² = adjacent²+ opposite²

h² = (-3)^2 + 4^2

h²= 9 + 16

h² = 25

h = 5

So we have a right triangle in quadrant 3 with adjacent side -3, opposite side 4, and hypotenuse 5.

Using the definitions of the trigonometric functions, we can find the values of the other functions:

sin(0) = opposite / hypotenuse = 4/5

cos(0) = adjacent / hypotenuse = -3/5

tan(0) = opposite / adjacent = -4/3

csc(0) = hypotenuse / opposite = 5/4

sec(0) = hypotenuse / adjacent = -5/3

cot(0) = adjacent / opposite = 3/4 (given)

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Answer: D 30

Step-by-step explanation:

4/10 + 30/100

2/5 + 3/10

7/10

NB: LEFT-HAND SIDE IS EQUAL TO THE RIGHT-HAND SIDE

Answer: 44 miles

Step-by-step explanation:

Let's call the number of miles Kevin can travel "m". We can set up an equation using the given information:

4.25 + 0.47m ≤ 25

Solving for "m", we can begin by subtracting 4.25 from both sides:

0.47m ≤ 20.75

Then, divide both sides by 0.47:

m ≤ 44.15

Therefore, Kevin can travel at most 44 miles without exceeding his spending limit.

On the fifth day there were 4 tοmatοes left tο be sοld. Jοann had 71 tοmatοes tο begin with.

Prοbability is a measure οf the likelihοοd οr chance οf an event οccurring. It is a number between 0 and 1, where 0 indicates that the event is impοssible, and 1 indicates that the event is certain tο οccur.

Let's wοrk backwards frοm the last day and figure οut hοw many tοmatοes Jοann had οn the fοurth day.

On the fifth day, there were 4 tοmatοes left tο be sοld, which means she sοld half οf what was left οn the fοurth day. Sο she must have started with 8 tοmatοes οn the fοurth day (since half οf 8 is 4).

On the fοurth day, she sοld half οf what was left, which means she had 16 tοmatοes befοre she sοld any.

On the third day, she sοld 12 tοmatοes, which means she had 28 tοmatοes befοre she sοld any.

On the secοnd day, she sοld half οf what was left, which means she had 56 tοmatοes befοre she sοld any.

Finally, οn the first day, she sοld 15 tοmatοes.

Therefοre, Jοann had 71 tοmatοes tο begin with.

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Answer:

Model D) a spinner with 6 equal sections can be used to simulate the contestant's chances of winning.

Step-by-step explanation:

A spinner with 6 equal sections represents the possible outcomes of the game show, where each section represents a possible win or loss. Since the contestant has a 1 in 6 chance of winning, the spinner would have one section representing a win and five sections representing a loss. Each spin of the spinner would represent one try at the game show, and the probability of winning can be determined by calculating the theoretical probability of landing on the win section.

According to one meaning of the phrase, it merely refers to the selling price of something. For instance, a piece of art would be sold for that amount if bids reached a record high of $10 million. Thus, option A is correct

The sale price of bananas this week is 10% off the original price of $1.40 per pound, which means the sale price is:

$1.40 - 10% of $1.40 = $1.26 per pound

To find the total cost of 6 pounds of bananas this week, we can multiply the sale price by the number of pounds:

$1.26 per pound * 6 pounds = $ [tex]7.56[/tex]

Therefore, the total price of 6 pounds of bananas this week at the grocery store is $ [tex]7.56[/tex] .

However, we need to be careful with the answer choices provided. They all differ from $7.56, so we need to double-check our calculations.

If we add a 10% discount to $1.40 per pound, we get:

$1.40 - (10/100)*$1.40 = $1.26 per pound

And the total cost of 6 pounds at $1.26 per pound is:

$ [tex]1.26 \times 6[/tex] = $ [tex]7.56[/tex]

Therefore,  $ [tex]8.19[/tex] is not a possible answer, and the other options are either miscalculated or rounded incorrectly.

Learn more about sale price here:

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