9. What is the slope of the graph of y= 12 x - 19?

The correct interpretation of a bleach and water solution with a 2:3 ratio would be option B: 2 cups of bleach and 3 cups of water.

A bleach and water solution with a 2:3 ratio means that for every 2 parts of bleach, there should be 3 parts of water. This ratio is typically expressed in terms of volume or quantity.

To understand this ratio, let's break it down using different units:

A. 1/3 part bleach and 2/3 part water:

If we consider 1/3 part bleach, it means that for every 1 unit of bleach, there should be 2 units of water. However, this does not match the given 2:3 ratio.

B. 2 cups of bleach and 3 cups of water:

If we consider cups as the unit of measurement, this means that for every 2 cups of bleach, there should be 3 cups of water. This matches the given 2:3 ratio, making it a valid interpretation.

C. 3 cups of bleach and 2 cups of water:

If we consider cups as the unit of measurement, this means that for every 3 cups of bleach, there should be 2 cups of water. However, this interpretation does not match the given 2:3 ratio.

Based on the given options, the correct interpretation of a bleach and water solution with a 2:3 ratio would be option B: 2 cups of bleach and 3 cups of water.

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Answer:

A one metre ribbon would cost 1.75 rupees.

Step-by-step explanation:

By dividing 2.8 by itself, we get 1. When we divide 4.90 by the same amount, we get 1.75.

Answer:

AEC=BED=157°

Step-by-step explanation:

AEC + CEB + BED + x = 360°

since CEB and x are vertical angles, they are equal.

Also, AEC = BED (same reason)

therefore,

2AEC+ 23° + 23° = 360°

2AEC + 46° = 360°

2AEC = 360° - 46°

2AEC = 314°

AEC = 157°

BED also = 157°

Of these cities, the place that has the lowest temperature than Toledo is Youngstown.

The town is known to have a temperature that is less than 20. This shows that the temperature has fallen below all other temperatures in the table.

Hence it can be concluded that the lowest table here is the temperature of Youngstown at -20 degrees.

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Answer:

Rational

Step-by-step explanation:

Answer:

Step-by-step explanation:

(4+3i)(12-2i)

48 - 8i + 36i - 6i^2

48 + 28i +6

54 + 28i

Answer:

25 m^2 -20mn +4n^2

Step-by-step explanation:

(5m-2n)²

(5m-2n)(5m-2n)

FOIL

first 5m*5m = 25m^2

outer 5m*-2n = -10mn

inner -2n * 5m = -10mn

last -2n * -2n = 4n^2

Add together

25m^2 -10mn -10mn + 4n^2

25 m^2 -20mn +4n^2

The strengths of this study design are:1. Randomization: It is the method of randomly assigning patients to either experimental or control groups. Randomization guarantees that groups would be equal in every respect except for the variable that is being studied.2. Placebo Control: A placebo control group makes it possible to identify the difference between the true effect of the treatment and the effect of other variables that are not being tested.3. Double-blind: When an experiment is double-blind, the experimenter and the patient do not know which group is which. This is important since experimenter bias and expectancy effects can be controlled in the study.

Jonas Salk conducted a large-scale controlled experiment involving over 400,000 children in 1954 to test the effectiveness of a polio vaccine. Children in the control group were injected with salt water (a placebo), while children in the experimental group were injected with the polio vaccine. Every test subject was followed for six months, and the experiment was double-blind, meaning that neither the participants nor the researchers knew to which group each child was assigned.Jonas Salk's primary goal in conducting the vaccine trial was to reduce the number of polio infections in the United States. Polio had become a major public health issue, with thousands of children being infected each year. The vaccine trial's outcomes confirmed the effectiveness of the vaccine, and it became one of the most important scientific breakthroughs in modern medicine.

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To determine the equation of the tangent plane and normal line of the given curve at the point P(2, -3, 18), we need to find the partial derivatives of the function f(x, y, z) = x^2 + y^2 - 2xy - x + 3y - z - 4.

Taking the partial derivatives with respect to x, y, and z, we have:

fx = 2x - 2y - 1

fy = -2x + 2y + 3

fz = -1

Evaluating these partial derivatives at the point P(2, -3, 18), we find:

fx(2, -3, 18) = 2(2) - 2(-3) - 1 = 9

fy(2, -3, 18) = -2(2) + 2(-3) + 3 = -7

fz(2, -3, 18) = -1

The equation of the tangent plane at P is given by:

9(x - 2) - 7(y + 3) - 1(z - 18) = 0

Simplifying the equation, we get:

9x - 7y - z - 3 = 0

To find the equation of the normal line, we use the direction ratios from the coefficients of x, y, and z in the tangent plane equation. The direction ratios are (9, -7, -1).Therefore, the equation of the normal line passing through P(2, -3, 18) is:

x = 2 + 9t

y = -3 - 7t

z = 18 - t

where t is a parameter representing the distance along the normal line from the point P.

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The standard form of the equation of the quadratic function is f(x) = 3x² + 12x + 15.

We are given a quadratic function whose vertex is (h, k) and a point (x, y) that lies on the quadratic function. We are to find the standard form of the equation of the quadratic function.

To find the standard form, we use the vertex form of the quadratic equation, which is given by: f(x) = a(x - h)² + k. Here, (h, k) = (-2, 3) represents the vertex of the quadratic function. Therefore, we substitute the values of h and k in the above formula: f(x) = a(x - (-2))² + 3

Simplifying the above equation, we get: f(x) = a(x + 2)² + 3.

Next, we are given a point (x, y) = (-3, 6) that lies on the quadratic function. Therefore, we substitute these values in the above equation and solve for 'a'. 6 = a(-3 + 2)² + 3

We simplify the above equation to get: 3 = a

Simplifying the equation f(x) = a(x + 2)² + 3 and substituting the value of 'a' = 3, we get:f(x) = 3(x + 2)² + 3

Simplifying the above equation, we get: f(x) = 3x² + 12x + 15

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the constant term is the one that is multiplied by a variable or letter, so in this case the constant term is 0.25

Identically, (abc)d = Id and d(abc) = Id. This completes the proof. Therefore, we have shown that if a, b, and c are invertible matrices, then abc is also invertible.

Suppose a, b, and c are invertible matrices. Let’s find a matrix d such that (abc)d = Id and d(abc) = Id, where Id is the identity matrix. Therefore, we can prove that abc is also invertible by introducing a matrix d such that (abc)di and d(abc)i.Proof:We know that the product of invertible matrices is also invertible. Therefore, we can assume that abc is invertible. We need to find a matrix d such that (abc)d = Id and d(abc) = Id.Suppose that (ab)c = e, where e is invertible. Then we have a(bce) = e and (bce)c−1 = a−1. Since c−1 and e are invertible, (bce) is invertible, and we can define d = (bce)−1, which means that d exists. Now we can prove that d satisfies our condition.(abc)d = a(bcd) = a(ec−1b−1) = a(e−1)b−1 = a−1b−1 = (abc)−1.Identically, d(abc) = (bce)−1(ab)c = (bce)−1e = c−1b−1a−1 = (abc)−1.Identically, (abc)d = Id and d(abc) = Id. This completes the proof. Therefore, we have shown that if a, b, and c are invertible matrices, then abc is also invertible.

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Answer:

3 7/12

Step-by-step explanation:

Answer:

is 3 7/12 that last one D

Step-by-step explanation:

if you take and do 1/6 - 3/4 you get 0.58 and when you convert 7/12 to a decimal you get 0.58 so 18-15 is 3 and then your fraction is 7/12 with you answer being D.3 7/12

Integrate the velocity function v(x) = 3\(x^{2}\) +\(e^{(2x)\)with respect to x to obtain the position function s(x) = \(x^{3}\) + (1/2)\(e^{(2x)\) + C, where C is the constant of integration representing the initial position of the particle.

To find the position function, we need to integrate the velocity function with respect to x. The velocity function v(x) = 3\(x^{2}\) + \(e^{(2x)\) represents the rate of change of position with respect to time.

By integrating v(x), we find the antiderivative or the indefinite integral of the function. The antiderivative of 3\(x^{2}\) is\(x^{3}\), and the antiderivative of \(e^{(2x)\) is (1/2)\(e^{(2x)\). When integrating, we also include a constant of integration, denoted as C.

The constant of integration represents the initial position of the particle. Since the problem statement does not provide the initial position explicitly, we leave it as C.

Therefore, a plausible position function for the particle is s(x) = \(x^{3}\) + (1/2)\(e^{(2x)\)+ C, where C is the constant of integration that accounts for the initial position of the particle.

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Answer: 12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

200 * 0.06 = 12

Inequalities are used to represent the unequal expressions

The complete inequality of the range is \(-2 \le y < 5\)

The domain and the range are given as:

Rewrite properly as:

[-4,-2] to (4,5)

Remove the x values

[-2] to (5)

Square brackets represent >= or <= while brackets represent > or <.

So, we have the following range:

\(-2 \le y < 5\)

Hence, the complete inequality of the range is \(-2 \le y < 5\)

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Answer:less than or equal to and less than

Step-by-step explanation:

The probability that a 25-year-old person from this group prefers biking is: 68/229.

The total number of people in the survey between the ages of 23 and 27 is 229. The number of people who prefer biking in this group is 68.

Therefore, the probability that a 25-year-old person from this group prefers biking is: 68/229

To simplify the fraction, we can divide both the numerator and denominator by their greatest common factor (GCF), which is 1:

68/229 = 68/229

So the probability that a 25-year-old person from this group prefers biking is 68/229.

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Answer:

\(y=\frac{x}{5}\)

Step-by-step explanation:

hope this helps

Part 1

f(x) + g(x)

3x+2 + 4x

(3x+4x) + 2

7x+2

Therefore, f(x)+g(x) = 7x+2

================================================

Part 2

f(x) = 3x+2

f( g(x) ) = 3( g(x) ) + 2 ... replace every x with g(x)

f( g(x) ) = 3(4x) + 2 .... plug in g(x) = 4x

f( g(x) ) = 12x + 2

================================================

Part 3

Let's say x is the number of minutes.

Furthermore, let's say f(x) and g(x) are phone plan costs. Computing f(x)+g(x) will give the total cost of both plans combined. This is one example where it's useful to add the functions.

---------

As for a second example, let's say g(x) = 4x represents the total cost to fill up your car when you use x gallons of gas. The 4 out front means gas is $4 per gallon.

When we compute f( g(x) ) = 3*g(x) + 2, we could have 3 different cars that use the same amount of gas (x). The +2 at the end could be something like we have to pay $2 for parking.

Overall, f( g(x) ) = 12x + 2 is the total cost of filling up 3 cars and paying for the extra $2 parking.

Notice the output of g(x) is fed directly as the input of f(x). Think of it like a chain reaction.

This is one example of many where function composition is useful.

Answer:

The price after tax would be $4.87

The total tax is $0.18

Step-by-step explanation:

     May I have brainiest I'm trying to level up!

             </3 PureBeauty

Answer: $4.88

Step-by-step explanation:

The product of 2 and 1/10 times -7 times 5/12 is -7/12, which is a fraction.

The product of 2 and 1/10 times -7 times 5/12 can be found stepwise by multiplying the numbers together.
1. Convert the mixed fraction 1/10 to an improper fraction: 1/10 = 1 ÷ 10 = 1/10.
2. Multiply the numbers together: 2 × 1/10 × -7 × 5/12 = -70/120.
3. Simplify the fraction: -70/120 = -7/12.
Therefore, the product of 2 and 1/10 times -7 times 5/12 is -7/12.

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The selection depends on individual needs, preferences, and the intended use of the tiny house.

a) To find the amount of space inside each house, we need to calculate the volume for each design.

House on the left:

Volume = length x width x height = 2.5 m x 18 m x 2.8 m = 126 m³

Triangular house:

Volume of a triangular prism = (base area x height) / 2

Base area = (1/2) x base x height = (1/2) x 4 m x 10 m = 20 m²

Volume = (20 m² x 7 m) / 2 = 70 m³

b) When comparing the environmental impacts of each house, several factors need to be considered:

Positive impacts:

1. Material usage: Tiny houses use fewer materials, reducing resource consumption and waste generation.

2. Energy efficiency: Smaller living spaces require less energy for heating, cooling, and lighting, leading to lower energy consumption.

3. Land utilization: Tiny houses can be built on smaller plots of land, preserving green spaces and reducing urban sprawl.

Negative impacts:

1. Construction materials: Although tiny houses use less material overall, the environmental impact depends on the types of materials used. Sustainable and eco-friendly materials should be prioritized.

2. Water and waste management: Adequate provisions for water supply and waste disposal should be implemented to minimize environmental impacts.

3. Transportation: The transportation of tiny houses to their locations can contribute to carbon emissions if not done efficiently.

c) The choice of design for a tiny house depends on personal preferences and priorities. However, considering the provided information:

The house on the left offers a larger interior space of 126 m³, providing more room for living and storage. It may be suitable for individuals or couples who desire more space and functionality within their tiny house.

The triangular house has a smaller interior volume of 70 m³ but offers a unique design and aesthetic appeal. It may be preferred by individuals who prioritize a distinctive architectural style or who are looking for a minimalist and cozy living space.

Ultimately, the selection depends on individual needs, preferences, and the intended use of the tiny house. Factors such as lifestyle, desired amenities, and personal values regarding sustainability and resource conservation should be considered when making the final decision.

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The gradient of the function \(\(f\)\) at the point \(\((-1, -3)\)\) is:

\(\[\nabla f(-1, -3) = \left(-3e^{-3} \sin(12), 4e^{-3} \cos(12)\right)\]\)

To find the gradient of the function \(\( f(x, y) = e^{3x} \sin(4y) \)\) at the point \(\((-1, -3)\)\), we need to compute the partial derivatives with respect to \(\(x\) and \(y\)\) and evaluate them at that point.

The gradient of a function is given by:

\(\[\nabla f(x, y) = \left(\frac{{\partial f}}{{\partial x}}, \frac{{\partial f}}{{\partial y}}\right)\]\)

Let's calculate the partial derivatives:

\(\[\frac{{\partial f}}{{\partial x}} = \frac{{\partial}}{{\partial x}}\left(e^{3x} \sin(4y)\right) = 3e^{3x} \sin(4y)\]\)

\(\[\frac{{\partial f}}{{\partial y}} = \frac{{\partial}}{{\partial y}}\left(e^{3x} \sin(4y)\right) = 4e^{3x} \cos(4y)\]\)

Now, we can evaluate these derivatives at the point \(\((-1, -3)\):\)

\(\[\frac{{\partial f}}{{\partial x}}\Bigr|_{(-1, -3)} = 3e^{3(-1)} \sin(4(-3)) = 3e^{-3} \sin(-12)\]\)

\(\[\frac{{\partial f}}{{\partial y}}\Bigr|_{(-1, -3)} = 4e^{3(-1)} \cos(4(-3)) = 4e^{-3} \cos(-12)\]\)

Simplifying further:

\(\[\frac{{\partial f}}{{\partial x}}\Bigr|_{(-1, -3)} = 3e^{-3} \sin(-12) = -3e^{-3} \sin(12)\]\)

\(\[\frac{{\partial f}}{{\partial y}}\Bigr|_{(-1, -3)} = 4e^{-3} \cos(-12) = 4e^{-3} \cos(12)\]\)

Therefore, the gradient of the function \(\(f\)\) at the point \(\((-1, -3)\)\) is:

\(\[\nabla f(-1, -3) = \left(-3e^{-3} \sin(12), 4e^{-3} \cos(12)\right)\]\)

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The missing digit (x) in the pattern is 3 in the second column and 4 in the fourth row. The completed pattern is as follows:

3 2 4 8

7 2 1 3

8 4 3 5

4 3 6 9

To find the missing digit (x) in the given pattern, let's examine the columns and rows to identify any patterns.

Looking at the columns, we can see that the digits in the second column are increasing by 1 each time: 2, 4, x, 3. Therefore, the missing digit (x) must be 2 + 1 = 3.

Similarly, observing the rows, we notice that the digits in the fourth row are decreasing by 1 each time: 8, 5, x, 9. Thus, the missing digit (x) must be 5 - 1 = 4.

Therefore, the missing digit (x) in the pattern is 3 in the second column and 4 in the fourth row. The completed pattern is as follows:

3 2 4 8

7 2 1 3

8 4 3 5

4 3 6 9

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Answer:

15 × 66 = 990

15 × 67 = 1,005

So, on  solving the provided question, we can say that  to form a inequality - x * y > 8

An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal sign (). Different inequalities are used to contrast values, no matter how little or large. Many simple inequalities may be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.

here to form a inequality-

let x = goals by each player

y = no. of players

x * y > 8

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The volume is simply the amount of space an object occupies.

Here , we are given the dimensions of a wastebasket shaped like a cylinder and we are then given the dimensions of a snack container shaped as a cylinder that was put inside of the waste basket. Given the following dimensions we are asked to find the volume left inside of the waste basket with the snack container inside of it.

To find this, we must find the volumes of both cylinders, we must then subtract the volume of the snack container from the volume of the wastebasket.

Required Formula :

Given Dimensions

Plugging in the given dimensions into the formula we acquire

V = π5²20

==> evaluate exponent

V = π25(20)

==> multiply 25 and 20

V = π500

==> simplify

V = 1570.8 (rounded to the nearest hundredth)

The volume of the waste basket is 1570.8 cubic inches

Required Formula :

Given Dimensions

Plugging in the given dimensions into the formula we acquire,

V = π4²6

==> evaluate exponent

V = π16(6)

==> multiply 16 and 6

V = π96

==> simply

V = 301.59 (rounded to the nearest hundredth)

The volume of the snack container is 301.59 cubic inches

Finally we can find the space left inside of the waste basked by subtracting the two volumes

The volume of the snack container = 301.59 cubic inches while the volume of the waste basket = 1570.8 cubic inches.

So remaining space = 1570.8 - 301.59 = 1269.21

The amount of space left inside of the waste basket is 1269.21 cubic inches so B is the correct answer choice.

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Answer:

Step-by-step explanation:

1. 23/50= 0.46

2. - 11/40= -0.275

3. 7/32= 0.21875

Answer: 1: Yes it is, unless there's an infinite number of digits after the '6'

that you're not showing us.|  2.: Is definitely a terminating decimal.|  3.    A terminating decimal.      

Step-by-step explanation:

1. 23/50= 0.46

2. - 11/40= -0.275

3. 7/32= 0.21875

Answer:

x= -5

Step-by-step explanation:

when you add like terms to a different side you change the sign so instead of adding -7 to -12 it would be 7-12 which is -5

Answer:

x= -5

because you add 7 on both sides making it x=-5

Answer:

the answers 325 hope this helps your day