Describe a situation that the expression -15 divided by -5 could represent. Find the quotient and tell what it represents in terms of the situation.

Therefore, the appropriate percent in the pie chart to represent the preference for Klean laundry detergent is 15%.

Percent is a way of expressing a fraction or a ratio as a portion of 100. The word "percent" means "per hundred." It is denoted by the symbol "%". Percentages are commonly used to express rates, proportions, or parts of a whole in various fields, such as mathematics, science, finance, and statistics. For example, an interest rate of 5% per annum means that for every 100 units of money, the lender will receive 5 units of interest each year.

Here,

To find the appropriate percent in the pie chart to represent the preference for Klean laundry detergent, we need to calculate the fraction of people who prefer Klean detergent, and then convert it to a percentage.

The fraction of people who prefer Klean detergent is:

75/500 = 0.15

To convert this fraction to a percentage, we can multiply by 100:

0.15 x 100 = 15%

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3x+x^2=3x+x^2

3x-3x=x^2-x^2

which means x=0

we have the expression

3x+2y

Verify for each ordered pair

so

a) (0,6)

substitute

3(0)+2(6)=12

b) (3,2)

3(3)+2(2)=13

c) (4,1)

3(4)+2(1)=14

d) (5,-2)

3(5)+2(-2)=11

therefore

maximum value for option C

Answer:

  4n√(3n) +3√n -√(3n)

Step-by-step explanation:

The expression can be simplified, but terms cannot be combined.

  \(\sqrt{48n^3}+\sqrt{9n}-\sqrt{3n}=\sqrt{(4n)^2(3n)}+\sqrt{3^2n}-\sqrt{3n}\\\\=\boxed{4n\sqrt{3n}+3\sqrt{n}-\sqrt{3n}}\)

A domain restriction placed on a non-invertible function affect its inverse.

Using inverse function concepts, it is found that:

The inverse of the function is \(y = \sqrt{x+3}-1\), and the domain of the inverse function is \(\left[-3,\infty ]\)

   A function will have an inverse if for each output, there is only one respective input.

   The domain of the inverse is the range of the original function.

The function given is:

\(f(x) = (x+1)^{2} -3\)

   It's range is \(\left[-3, \infty]\), which will be the domain of the inverse.

To find the inverse, we exchange x and y, and isolate y, then:

\(y = (x+1)^{2} - 3\\ \\x = (y+1)^{2} - 3\\\\(y+1)^{2} = x+3\\ \\\sqrt{((y+1)^{2}} = \sqrt{x+3} \\\\y+1 = \sqrt{x+3}\\\\y = \sqrt{x+3} -1\)

The inverse of the function is \(y = \sqrt{x+3} -1\), and the domain of the inverse function is \(\left[-3, \infty]\).

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Answer:

X = - b / a

Step-by-step explanation:

Step-by-step explanation:

angle  B = angle D    

                     corresponding angles of parallel lines intersected by another    .                                               line are equal

angle BEA = angle DEC         Verical angles are equal

ABE ~~ CDE                           due to  A - A -S  theorem for triangles

In a transformation called a translation, the pre-image is slid either vertically or horizontally.

A translation is a type of transformation in geometry where the pre-image (original figure) is moved or slid to a new position in a specific direction. The movement can be either vertical or horizontal.

When a pre-image is translated vertically, it means that it is moved up or down without any change in its orientation. The entire figure maintains the same shape and size, but its position on the coordinate plane is shifted vertically.

On the other hand, when a pre-image is translated horizontally, it is moved left or right while preserving its original shape and size. The orientation of the figure remains the same, but its position on the coordinate plane is shifted horizontally.

In both cases, the translation occurs without any rotation, reflection, or resizing of the pre-image. The resulting image is a new figure that is congruent to the original but located at a different position on the plane.

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Answer:

yes

Step-by-step explanation:

The bases are right triangles with side lengths of 12 centimeters, 16 centimeters, and 20 centimeters.

Answer:

yes

Step-by-step explanation:

If you use the formula \(a^{2} +b^{2} =c^{2}\) you get 20 which confirms that is a right triangle

a. The subspace generated by the vector system u has 2 dimensions. A basis for this subspace is {(1, 2, 6), (0, -1, -5)}. b. The parameter k that makes u = (2, 3, \(k^2 + 1\)) a linear combination of the basis w is k = ±√6. The coordinate vector [u]w with respect to the basis w is [u]w = (2, 1).

a. To find the number of dimensions and a basis for the subspace generated by the vector system u, we need to determine the linearly independent vectors among the given vectors. Let's perform Gaussian elimination to determine the linearly independent vectors:

Row 2 = Row 2 - 0 * Row 1

= (0, -1, -5)

Row 3 = Row 3 - 2 * Row 1

= (2, 3, 7)

Row 4 = Row 4 - Row 1

= (1, 0, -4)

Row 3 = Row 3 - 2 * Row 2

= (2, 3, 7) - 2 * (0, -1, -5)

= (2, 3, 7) - (0, -2, -10)

= (2, 5, 17)

Now, we have the following row-echelon form:

(1, 2, 6)

(0, -1, -5)

(0, 0, 0)

(0, 0, -10)

We can see that there are 2 pivot columns in this row-echelon form, which indicates that the subspace generated by the vector system u has 2 dimensions.

b. To find the parameter k such that u = (2, 3, k² + 1) is a linear combination of the basis w, we can set up the following equation:

(2, 3, k² + 1) = a(1, 2, 6) + b(0, -1, -5)

This equation gives us the following system of equations:

2 = a

3 = 2a - b

\(k^2 + 1 = 6a - 5b\)

From the first equation, we can deduce that a = 2. Substituting this value into the second equation, we get:

3 = 2(2) - b

3 = 4 - b

b = 4 - 3

b = 1

Now, we can substitute the values of a and b into the third equation:

\(k^2 + 1 = 6(2) - 5(1)\\k^2 + 1 = 12 - 5\\k^2 + 1 = 7\\k^2 = 7 - 1\\k^2 = 6\)

k = ±√6

Therefore, the parameter k that satisfies u = (2, 3, \(k^2 + 1\)) as a linear combination of the basis w is k = ±√6. The coordinate vector [u]w represents the coefficients of the linear combination of the basis vectors w that yield the vector u. Using the basis w = {(1, 2, 6), (0, -1, -5)}, we can express u as:

u = a(1, 2, 6) + b(0, -1, -5)

Substituting the values of a = 2 and b = 1, we get:

u = 2(1, 2, 6) + 1(0, -1, -5)

u = (2, 4, 12) + (0, -1, -5)

u = (2, 4, 12) + (0, -1, -5)

u = (2, 3, 7)

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The sequence of natural numbers that leaves a remainder of 3 when divided by 10 is:

3, 13, 23, 33, 43, 53, 63, 73, 83, 93, 103, 113, ...

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer: Mean: 40.2, Median: 41

Step-by-step explanation: 37, 43, 41, 36 and 44 added all together is 201 / 5 = 40.2 (70 is the outlier). The middle of 37 43 41 36 44 is 41, because the numbers lined up is 36, 37, 41, 43, 44 the middle is 41.

Answer:

h(2) = 0

Step-by-step explanation:

Simply plug in 2 in for x in h(x)!

h(2) = -(2) + 2

h(2) = -2 + 2

h(2) = 0

And we have our final answer!

Answer:

H(2) = 0

Step-by-step explanation:

All you need to do is replace x with 2 in the function and solve:

H(2)= -2 + 2

H(2)= 0

Answer:

260

Step-by-step explanation:

because 13 of 20 is 65% filled up and 260 is 65% of 400

Answer:

260 i say

Step-by-step explanation:

hi caroline

After 3 months, the tree will reach a height of 12 feet.

Imagine you plant a tree that is initially 6 feet tall. Every month, it grows by 2 feet.

Let's denote the height of the tree at the start as H₀ = 6 feet. Since the tree grows 2 feet each month, we can express its growth rate as "2 feet per month." To calculate how tall it will be over time, we need to consider the number of months it has been growing.

After 1 month, the height of the tree will be:

H₁ = H₀ + (growth rate * number of months) = 6 + (2 * 1) = 8 feet.

After 2 months, the height of the tree will be:

H₂ = H₀ + (growth rate * number of months) = 6 + (2 * 2) = 10 feet.

After 3 months, the height of the tree will be:

H₃ = H₀ + (growth rate * number of months) = 6 + (2 * 3) = 12 feet.

So, after 3 months, the tree will be 12 feet tall.

We can also represent this growth pattern using a mathematical equation. Let "t" be the number of months the tree has been growing, and "Hₜ" be its height at time "t."

The equation for the height of the tree over time is given by:

Hₜ = H₀ + (growth rate * t).

Using this equation, you can plug in the value of "t" as 3 to find the height after 3 months:

H₃ = 6 + (2 * 3) = 12 feet.

In conclusion, the tree will keep growing 2 feet every month, and you can find its height at any given time using the formula Hₜ = H₀ + (growth rate * t). After 3 months, the tree will reach a height of 12 feet.

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\(m = \frac{ - 1}{a} = \frac{ - 1}{2} \\ y = \frac{ - 1}{2} x + b\)

The percentage increase in the diameter of the drain pipe necessary to enable it to carry 60 litres per second is  28.87%.

Given that the carrying capacity is directly proportional to the area, we can write:

C1 ∝ A1 = πr₁²

Since the carrying capacity is directly proportional to the area, we have:

C2 ∝ A2 = πr₂²

To find the percentage increase in diameter, we need to find the ratio of the increased area to the initial area and then express it as a percentage. Let's calculate this ratio:

(A2 - A1) / A1 = (πr₂² - πr₁²) / (πr₁²) = (r₂² - r₁²) / r₁²

We can also express the ratio of the increased carrying capacity to the initial carrying capacity:

(C2 - C1) / C1 = (60 - 36) / 36 = 24 / 36 = 2 / 3

Since the area and the carrying capacity are directly proportional, the ratios should be equal:

(r₂² - r₁²) / r₁² = 2 / 3

Now, let's substitute r = D/2 in the equation:

((D₂/2)² - (D₁/2)²) / (D₁/2)² = 2 / 3

(D₂² - D₁²) / D₁² = 2 / 3

Cross-multiplying:

3(D₂² - D₁²) = 2D₁²

3D₂² - 3D₁² = 2D₁²

3D₂² = 5D₁²

Dividing by D₁²:

3(D₂² / D₁²) = 5

(D₂² / D₁²) = 5 / 3

Taking the square root of both sides:

D₂ / D₁ = √(5/3)

To find the percentage increase in diameter, we subtract 1 from the ratio and express it as a percentage:

Percentage increase = (D₂ / D₁ - 1) × 100

Percentage increase = (√(5/3) - 1) × 100

Percentage increase = 28.87%

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In the case where a jewellery artis sell necklaces at $12 each where the cost to rent a booth is $135 and the cost of materials for each necklace is $4.50, selling 15 necklaces does not make a profit and has to sell at least 18 necklaces to not make a loss.

The answer is a) No, the artist will not make a profit if she sells 15 necklaces and b) n > 18

Here cost of rent is a fixed cost that is it does not vary with the quantity of necklaces made and cost of materials is a variable cost as it is dependent on the quantity of necklaces sold.

The inequality 12n > 135 + 4.5n represents the situation where the artist makes profit. So first part of the question we can check whether the artist make profit by selling 15 necklaces by substituting n=15 in the inequality.

12 × 15 > 135 + 4.5 × 15

180 > 202.5

This is false, thus selling 15 necklaces will not bring profit as total selling price is less than total cost.

To find the minimum number of necklace to be sold to not make loss the total selling price should be equal to total cost.

12n = 135 + 4.5n

7.5n = 135

n = 18

So the artist has to sell at least 18 necklaces to make a loss. So the artist can make profit by selling more than 18 necklaces.

-- The question is incomplete, the correct question is as follows --

"A jewellery artist is selling necklaces at an art fair. It costs $135 to rent a booth at the fair. The cost of materials for each necklace is $4.50. The artist is selling the necklaces at $12 each. The inequality 12n > 135 + 4.50n represents the situation in which the artist makes a profit. a) Will the artist make a profit if she sells 15 necklaces? Explain or show how you know. b) Write an inequality to show the number of necklaces, n, the artist must sell to make a profit."

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Using the De Morgan's Law, the equivalent logical expression of the statement ∼p ∨ ∼q is ∼(p ∧ q)

The expression is given as

∼p ∨ ∼q

The above expression is a logical expression

The De Morgan's Law of logical expression states that

∼x ∨ ∼y = ∼(x ∧ y)

Next, we replace the variables x and y with the given variables in the question

So, we have

∼p ∨ ∼q = ∼(p ∧ q)

The above implies that the equivalent logical expression of the statement ∼p ∨ ∼q is ∼(p ∧ q) using the De Morgan's Law

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Step-by-step explanation:

The graph of a quadratic function is a U-shaped curve called a parabola. One important feature of the graph is that it has an extreme point, called the vertex. If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function. If the parabola opens down, the vertex represents the highest point on the graph, or the maximum value. In either case, the vertex is a turning point on the graph. The graph is also symmetric with a vertical line drawn through the vertex, called the axis of symmetry.

Graph of a parabola showing where the x and y intercepts, vertex, and axis of symmetry are.

The

y

-intercept is the point at which the parabola crosses the

y

-axis. The

x

-intercepts are the points at which the parabola crosses the

x

-axis. If they exist, the

x

-intercepts represent the zeros, or roots, of the quadratic function, the values of

x

at which

y

=

0

.

Answer:

i think its 100feet away when u look 20°

Answer:

120 miles

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

2 divided by .5 = 4 ( 4 half’s equal 2 )

4 times 30 miles = 120 ( each for represents 30 )

Answer:

11

Step-by-step explanation:

If i am correct n= the days so with the days adding up day 10 juan would have 55 of the 100 candies, day 11 he would have 66. The statement said at least 64, so it would have to be 64 or the closet amount to 64 but it cannot be lower than 64. So there for 66 is the closest to the given amount, and in order for juan to get 64 he would need to take candies out for 11 days.

The probability of the interval -1.62 < z < 2.01 in a standard normal distribution is approximately 0.9262 or 92.62%.

In a standard normal distribution, the mean is 0 and the standard deviation is 1. The z-score represents the number of standard deviations a data point is from the mean. To find the probability of a specific interval, we calculate the area under the curve between the corresponding z-values.

Given the interval -1.62 < z < 2.01, we need to find the area under the standard normal curve between these two z-values. This can be done using a standard normal distribution table or by using a statistical software or calculator.

By looking up the z-values in the table or using software, we find the corresponding probabilities: P(z < -1.62) = 0.0526 and P(z < 2.01) = 0.9788.

To find the probability of the interval -1.62 < z < 2.01, we subtract the probability of the lower bound from the probability of the upper bound: P(-1.62 < z < 2.01) = P(z < 2.01) - P(z < -1.62 = 0.9788 - 0.0526 = 0.9262.

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Jill can pay a maximum of $192 for a bedspread.

Jill wants to mark up the price of the bedspread by 30%, so she needs to pay at least 250 / 1.3 = $192 for it. If she pays more than $192, she will not be able to make a 30% profit.

Jill wants to mark up the price of the bedspread by 30%. This means that she wants to sell it for 1.3 times the price she pays for it.

The maximum price that customers are willing to pay is $250.

If Jill pays more than $192 for the bedspread, she will not be able to sell it for $250 and make a 30% profit.

Therefore, the most that Jill can pay for the bedspread is $192.

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Jill can pay a maximum of $192 for a bedspread.

Jill wants to mark up the price of the bedspread by 30%, so she needs to pay at least 250 / 1.3 = $192 for it. If she pays more than $192, she will not be able to make a 30% profit.

Jill wants to mark up the price of the bedspread by 30%. This means that she wants to sell it for 1.3 times the price she pays for it.

The maximum price that customers are willing to pay is $250.

If Jill pays more than $192 for the bedspread, she will not be able to sell it for $250 and make a 30% profit.

Therefore, the most that Jill can pay for the bedspread is $192.

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a. The three statistics that measure central location are:

b. The mean tells us the average number of miles jogged by the sample of 12 joggers last week. Median tells us the midpoint of the data. The mode give us insight into what distance is most frequently jogged by the sample

a. Mean: average of the data = (5.5 + 7.2 + 1.6 + 22.0 + 8.7 + 2.8 + 5.3 + 3.4 + 12.5 + 18.6 + 8.3 + 6.6) / 12 = 8.825 miles.

Median: middle value of the data when arranged in order = 7.95 miles.

Mode: most common value in the data set = there is no mode since no value is repeated.

b. The mean shows us how many miles on average the sample of 12 joggers covered last week. The median provides the data's midpoint, which is helpful when the mean may be impacted by extreme numbers. When it is present, the mode can help us understand what distance the sample covers most frequently. Since there is no mode in this instance, this number is useless.

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Point M(-6,8) is dilated from the origin with a scale factor of 1/2, hence the new point is M'(-3, 4)

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.

If a point A(x, y) is dilated by a factor k, the new point is A'(kx, ky).

Given Point M(-6,8) is dilated from the origin with a scale factor of 1/2, hence the new point is at:

M'(-3, 4)

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Therefore, there are 156 numbers consisting of 1, 2, or 3 digits that can be formed using the digits 1, 2, 3, 4, 5, 6 without repetitions.

We need to find the number of numbers consisting of 1, 2, or 3 digits that can be formed using the digits 1, 2, 3, 4, 5, 6 without repetitions.

1-digit numbers: There are 6 choices for the first digit.

2-digit numbers: There are 6 choices for the first digit, and 5 choices for the second digit (since we cannot repeat the first digit).

3-digit numbers: There are 6 choices for the first digit, 5 choices for the second digit (since we cannot repeat the first digit), and 4 choices for the third digit (since we cannot repeat the first or second digit).

Therefore, the total number of numbers that can be formed is:

1-digit numbers: 6

2-digit numbers: 6 x 5 = 30

3-digit numbers: 6 x 5 x 4 = 120

The total number of numbers is the sum of these:

6 + 30 + 120 = 156

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