"The model can be used to solve 6×3.27. Select the partial products from the drop-down lists" i have no clue what to do, can someone explain to me?

Answer: To turn the expression -x^2 - 4x - 4 into an always true inequality, we need to find its vertex. The vertex is the point where the parabola changes direction and is given by x = -b/(2a) and y = f(-b/(2a)), where f(x) is the function in standard form, ax^2 + bx + c.

In this case, a = -1, b = -4, and c = -4, so the x-coordinate of the vertex is:

x = -(-4)/(2*(-1)) = 2

To determine whether the vertex is a maximum or minimum, we can look at the coefficient of x^2. Since a = -1, the parabola opens downward and the vertex is a maximum.

Therefore, we can write the inequality:

x^2 - 4x - 4 > -2

This is because the y-coordinate of the vertex is f(2) = -2, and the expression -x^2 - 4x - 4 is always less than -2 when x is not equal to 2. When x = 2, both sides of the inequality are equal.

So the inequality -x^2 - 4x - 4 > -2 is true for any value of x.

Step-by-step explanation:

Answer:

Slope: -5/4

y-intercept: 5

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

The appropriate measure of variability for the given data is the IQR, and its value is 16.

Based on the given stem-and-leaf plot, which represents the scores earned in a flower-growing competition, we can determine the appropriate measure of variability for the data.

The stem-and-leaf plot shows the individual scores, and to measure the spread or variability of the data, we have two commonly used measures: the range and the interquartile range (IQR).

The range is calculated by subtracting the smallest value from the largest value in the dataset. In this case, the smallest value is 20, and the largest value is 65. Therefore, the range is 65 - 20 = 45.

The interquartile range (IQR) is a measure of the spread of the middle 50% of the data. It is calculated by subtracting the first quartile (Q1) from the third quartile (Q3). Looking at the stem-and-leaf plot, we can identify the quartiles. The first quartile (Q1) is 25, and the third quartile (Q3) is 41. Therefore, the IQR is 41 - 25 = 16.

In this case, both the range and the IQR are measures of variability, but the IQR is generally preferred when there are potential outliers in the data. It focuses on the central portion of the dataset and is less affected by extreme values. Therefore, the appropriate measure of variability for the given data is the IQR, and its value is 16.

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The equation of the car rental company in the form y = kx is; y = 18.50x

The equation y = kx is such that;

In essence; to determine the constant of proportionality, k in this case;

Since the company charges, $55.50 for 3 days; we have;

By evaluation k = $55.50/3

A constant rate of change means the variation in the dependent variable as dependent on the independent variable is constant

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Answer:

Yes, No, No.

Explanation:

Answer:

Place an X for the first box as [Yes], [No], [No]

Step-by-step explanation:

When we enter x=2 and y=1 into the first system of equations, we can see that both conditions are met. Thus the answer to this system is (2, 1).

When x=2 and y=1 are substituted into the second system of equations, we obtain 1=-3 and 1=-2, which are false, and so (2, 1) is not a solution for this system.

When x=2 and y=1 are substituted into the third system of equations, the results are -3=-2 and 1=-3, which are false, hence (2, 1) is not a solution for this system.

Answer:

x = 10

y = 5

Step-by-step explanation:

Interior angles of a triangle sum to 180°.  Therefore, from inspection of the given diagram, the interior angles of the given right triangle are:

This means the triangle is a special right triangle and that the 30-60-90 theorem can be applied to quickly find the measures of the missing sides.

30-60-90 Triangle Theorem

A 30-60-90 triangle is a special right triangle where the measures of its sides are in the ratio  1 : √3 : 2.

Therefore, the formula for the ratio of the sides is b : b√3 : 2b where:

From inspection of the given triangle, the side opposite the 60° angle is 5√3.  Therefore:

⇒ b√3 = 5√3

⇒ b = 5

Substitute the found value of b into the expressions for the other two sides to find the values of x and y:

⇒ x = 2b = 2 · 5 = 10

⇒ y = b = 5

The slope of the linear function represented by the given table of values is 3.5. This means that for every increase of one unit in x, the corresponding y value increases by 3.5 units.

The given table of values represents a set of four ordered pairs (5,34.5), (7,41.5), (9,48.5) and (11,55.5). These ordered pairs are plotted on the coordinate plane and connected by a straight line to form a linear function.

To find the slope of this linear function, we can use the formula for slope which is:

slope = (change in y) / (change in x)

We can calculate the slope using any two pairs of (x,y) values. Let's choose the first and last pairs: (5,34.5) and (11,55.5).

To find the change in y, we subtract the y-coordinate of the first point from the y-coordinate of the second point:

change in y = 55.5 - 34.5 = 21

To find the change in x, we subtract the x-coordinate of the first point from the x-coordinate of the second point:

change in x = 11 - 5 = 6

Now we can substitute these values into the slope formula:

slope = (change in y) / (change in x) = 21 / 6 = 3.5

Therefore, the slope of the linear function represented by the given table of values is 3.5. This means that for every increase of one unit in x, the corresponding y value increases by 3.5 units.

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Answer: 456

Step-by-step explanation:

The minimum value of P is 230, which is obtained at the point (10, 20) in the feasible region.

To solve the linear programming problem, we need to find the minimum value of P = 15x + 10y subject to the given constraints. The constraints are:

5x + 7y ≥ 71

4x + y ≤ 43

-3x + 5y ≤ 31

x ≥ 0, y ≥ 20

We can graph these constraints and find the feasible region, which is the intersection of all the shaded regions satisfying the given constraints. After determining the feasible region, we evaluate the objective function P at each corner point to find the minimum value.

Upon solving the equations, we find that the corner points of the feasible region are: (0, 20), (10, 20), (8, 25), and (7, 21). We substitute these corner points into the objective function P = 15x + 10y and calculate the corresponding values of P. The minimum value of P is obtained at (10, 20), where P = 15(10) + 10(20) = 230.

Therefore, the minimum value of P is 230, which occurs at the point (10, 20) in the feasible region.

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v

\(\frac{325}{520}\) fraction of the workforce kept their jobs

What is the Percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

What is Percentage change?

The percentage increase is calculated by subtracting the original number from the new number, dividing that result by the original number, and multiplying that result by 100.

where growth in number equals new number minus initial number.

Similar to how a percentage increase is calculated, a percentage reduction is calculated by subtracting a new number from the original number, dividing that new number by the original number, and multiplying that result by 100.

decreasing number where original number - new number

In other words, there is a percentage decline if the response is negative.

Here, It is given:

In January 520 workers were employed;

In the end, 195 employees were redundant;

So, The fraction of the workforce who kept their job:-

The fraction of the workforce who kept their job=\(\frac{520-195}{520}\)

The fraction of the workforce who kept their job=\(\frac{325}{520}\)

Hence,

The fraction of the workforce who kept their job=\(\frac{325}{520}\)

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Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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Answer:

The selling price of the bag is $22.5

Step-by-step explanation:

Buying Price = $25,

Selling Price = ?

Since they sold it at a loss of 10%,

So, they sold it for a price 10% less than the buying price,

or at 90% or 0.9 of the buying price,

so,

Selling Price = (0.9)(25) = $22.5

Answer:

18

What is the Highest common factor? The biggest integer that divides all numbers is HCF, while the lowest integer that divides all numbers is LCM (Lowest common multiple).

Step 1: Since 90 > 54, we apply the division lemma to 90 and 54, to get

90 = 54 x 1 + 36

Step 2: Since the reminder 54 ≠ 0, we apply division lemma to 36 and 54, to get

54 = 36 x 1 + 18

Step 3: We consider the new divisor 36 and the new remainder 18, and apply the division lemma to get

36 = 18 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 18, the HCF of 54 and 90 is 18

Notice that 18 = HCF(36,18) = HCF(54,36) = HCF(90,54) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 72 > 18, we apply the division lemma to 72 and 18, to get

72 = 18 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 18, the HCF of 18 and 72 is 18

Notice that 18 = HCF(72,18) .

Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

HCF of 54, 90, 72 is 18 the largest number that divides all the numbers leaving a remainder zero.

For arbitrary numbers 54, 90, 72 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.

Answer:

378 ft i think

Step-by-step explanation:

The equation of the parabola is y = -0.25(x - 4)² + 16 and he reaches 12 feet outwards when he hits the water

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

Initial position = 12 feet above the surface

Maximum height = 18 feet at 4 feet outward

These parameters mean that

(h, k)  = (4, 16) -- vertex

(x, y) = (0, 12)

A parabola is represented as

y = a(x - h)² + k

So, we have

y = a(x - 4)² + 16

Also, we have

12 = a(0 - 4)² + 16

This gives

12 = 16a + 16

So, we have

16a = -4

Divide

a = -0.25

Substitute a = -0.25 in y = a(x - 4)² + 16

y = -0.25(x - 4)² + 16

When it hits water, y = 0

So, we have

-0.25(x - 4)² + 16 = 0

This gives

0.25(x - 4)² = 16

So, we have

(x - 4)² = 64

Take square roots

x - 4 = 8

So, we have

x = 12

Hence, it is 12 feet outwards

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The magnitude of the correlation coefficient, regardless of the sign, provides information about the strength of the linear relationship between variables.

The sample correlation coefficient, r, ranges between -1 and 1. A value of 1 or -1 indicates a perfect linear relationship, where all data points lie precisely on a straight line. On the other hand, a value close to 0 indicates a weak or no linear relationship.

In the given scenario, r = .40 indicates a moderate positive linear relationship. Although the correlation is not perfect (not equal to 1), it still suggests a moderate degree of association between the variables. The positive sign indicates that as one variable increases, the other tends to increase as well, but not necessarily in a strictly linear fashion.

On the other hand, r = -.60 indicates a stronger linear relationship, albeit in the negative direction. The negative sign signifies an inverse relationship, meaning that as one variable increases, the other tends to decrease, but again, not necessarily in a perfectly linear manner. The magnitude, which is the absolute value of the correlation coefficient, indicates a stronger relationship compared to r = .40.

Therefore, it is important to consider both the magnitude and the sign of the correlation coefficient to assess the strength and direction of the linear relationship between variables.

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Answer:

72

Step-by-step explanation:

50% means ½ of the usual days,

if 50% = 24 days

then the usual day is 48 days

so, 48+24= 72

a. The exact value of the sum of -12 + 4 – 4/3 +4/9 – 4/27 +4/81 - … = -12/(1+1/3)  is 12/7.

b.The exact value of the sum of∑ (1/3)ⁿ = 6*1/3⁶(1/3¹¹-1)/(1/3-1)  is 3/2.

A.-12 + 4 – 4/3 +4/9 – 4/27 +4/81 - …

This is an infinite geometric series with first term a = -12 and common ratio r = 4/(-3). The sum of an infinite geometric series is given by:

S = a / (1 - r)

Substituting the values of a and r, we get:

S = (-12) / [1 - (4/(-3))]

Simplify the denominator by multiplying both numerator and denominator by (-3):

S = (-12) / [-3 - 4]

S = (-12) / (-7)

S = 12/7

Therefore, the exact value of the sum is 12/7.

B. 6*1/3⁶(1/3¹¹-1)/(1/3-1)

This is a geometric series with first term a = 1 and common ratio r = 1/3. The sum of a geometric series with n terms is given by:

S = a (1 - rⁿ) / (1 - r)

As n approaches infinity, rⁿ approaches zero and the sum converges to:

S = a / (1 - r)

Substituting the values of a and r, we get:

S = 1 / (1 - 1/3)

S = 3/2

Therefore, an expression that gives the exact value of the sum is 3/2.

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Answer:

174 squares

Step-by-step explanation:

I would start by finding the surface area of the rectangular prism. You can use 2(wl+hl+hw).

2(wl+hl+hw)

2(3*5+9*5+9*3)

2(15+45+27)

2(87)

174 cm^2

The area of squares 1 cm edges would be 1 because 1*1=1, so you could find how many of them would fit on the surface area by dividing 174 by 1, which equals 174.

After doing the equitation the at rate of $15 per week.

How to do graph representation?

Graph representation is a way of visualizing data as a graph or chart. It is used to easily identify relationships between data points and to illustrate trends in the data. Graphs can be used to present data in a variety of ways, such as bar graphs, line graphs, pie charts, scatter plots and more. Graphs are especially useful when trying to compare two or more sets of data and to highlight any patterns or trends that may exist. Additionally, graphs are often used to represent numerical data in a more visually appealing way. By using graphs, it is easier to identify relationships, trends and outliers in the data. Graphs also help to make data easier to interpret and understand.

Carson owes = $110

At rate of $15 per week.

The graph representation will follows:

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First one is -1. The second one is 1/2.

Answer:

16 and 25

Step-by-step explanation:

they are square numbers

1^2 = 1 .. etc.

this is a I

There is an error 2*2 is 4 lol realised I wrote tht whoops

The formula for Integration of UV:

f the two functions are of the type u,v then the formula for the Integration of u and v may be written as follows: ∫ uv dx = u ∫ v dx – ∫ (u' ∫ v dx) dx.

Integration of Trigonometric functions involves basic simplification techniques. These techniques use different trigonometric identities which can be written in an alternative form that are more amenable to integration.

Identify the integral of the form ∫u.vdx. Choose u(x) using the LIATE rule and differentiate it. Choose v(x) and Integrate dv. Then plug in all the values obtained so far, in the formula ∫u.v = u. ∫v.dx- ∫( ∫v.dx.u'). dx and evaluate the integral.

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Answer:

The independent variable is the variable that is manipulated or changed during an experiment. In this case, the independent variable is represented by the x-values of the given points.

So, the answer would be option A: {-2, 3, 1, 5}

Step-by-step explanation:

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\( \frac{4}{5} \times 10 = (\frac{4}{5}) (\frac{10}{1} ) = \frac{(4)(10)}{(5)(1)} = \frac{40}{5} = 8\)

Considering the dot plot and visual inspection, it is likely that group B has a lower mean. The reason for this is because it has a higher proportion of it's measures to the left of the dot plot than group A.

The mean of a data-set is given by the sum of all observations in the data-set divided by the cardinality of the data-set, which represents the number of observations in the data-set.

The dot plot shows the number of instances that each observation appeared in the data-set, hence we use it to identify the position of the measures.

Group B has more dots at the left of the graph, meaning that the smaller measures are more common than in group A, and thus it more than likely has a lower mean.

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Answer:

$350 < M

Step-by-step explanation:

The number of possible k-lists (x₁, x₂, ..., xₙ) where each xₙ is a positive integer and 1 ≤ x₁ ≤ x₂ ≤ · · · ≤ xₙ ≤ n is given by the formula n choose k, or (n choose k) = n!/(k!(n-k)!)

First, let's consider the case when k = 1. In this case, there is only one integer in the list, and it must be a positive integer between 1 and n inclusive. Therefore, there are n possible k-lists when k = 1.

We can continue this process for larger values of k.

In general, the number of possible k-lists is the number of ways we can choose k positive integers between 1 and n inclusive such that the first integer is less than or equal to the second integer, the second integer is less than or equal to the third integer, and so on up to the kth integer being less than or equal to n.

Using the formula for combinations, this is equal to n choose k, or (n choose k) = n!/(k!(n-k)!), where n! is the factorial of n.

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Answer:

GEF

Step-by-step explanation:

Answer:

p = -1          q = -2

Step-by-step explanation:

3p - 7q = 11      -7q = -3p + 11           q = 3/7p - 11/7

2p - 5(3/7p - 11/7) = 8

2p - 15/7p + 55/7 = 8

-1/7p + 55/7 = 8

-1/7p = 1/7

p = -1

2(-1) - 5q = 8

-2 - 5q = 8

-5q = 10

q = -2