The following ordered pairs represent a proportional relationship: (12,32), (15,x), (21,56). Find the value of x

The equation that represents the situation that a baby blue whale weighed 3 tons at birth and ten days later, weighed 4 tons, with w representing the weight and d being the day old age, is W=0. 1d+3.Thus, the answer to the given question is option C.

A linear equation is represented by y = mx + c

where m is the slope of the line

c is the y-intercept

In the given situation, the slope can be calculated as the growth rate of the whale, it can be calculated by the ratio of change in weight to the number of days.

m = \(\frac{4-3}{10}\)

m = 0.1

The y-intercept is the initial weight of the whale at birth

Thus, c = 3

Thus, the equation is W = 0.1d + 3.

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Answer:

The answer is

Step-by-step explanation:

- 2x + 4 > - 4x + 8

Add 4x to both sides of the inequality

That's

- 2x + 4x + 4 > - 4x + 4x + 8

2x + 4 > 8

Subtract 4 from both sides

That's

2x + 4 - 4 > 8 - 4

2x > 4

Divide both sides by 2

That's

\( \frac{2x}{2} > \frac{4}{2} \)

We have the final answer as

Hope this helps you

Answer:

4+4+1

Step-by-step explanation:

Answer:

4 + 4 + 1

Step-by-step explanation:

4 + 4 + 1 = 9

4 + 5 = 9

They both equal up to 9

Answer:

6

Step-by-step explanation:

2x=-3y+12

x=-3/2x+6

6 is zero

Answer:

x/the zero=6

Step-by-step explanation:

Make the y zero

2x+3(0)=12

Hope this helps please mark me Brainiest

then you're left with 2x=12

dived from both sides

x=6

The area of the figure is: 22in².

Here, we have,

The given figure is a parallelogram.

we have,

a = 7in

b = 5 in

h = 5 in

so, area = b×h = 25 in²

now, the rectangle has: l = 3in and w = 1in

so, area = lw = 3 in²

so, the area of the figure is: 25 - 3 = 22in²

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Answer:

Your answer is <, Hope it helps.

Answer:

3 Feet

Step-by-step explanation:

Issac's Kitchen Area - 54 sqft

Issac's Pantry Area - 54/9 = 6 sqft (His pantry is 9x smaller than his kitchen)

\(area = length * width\)

Here we have the total area and the width, so we can substitute for finding the length:

\(6 = length * 2\\ \\ = > \frac{6}{2} = length\\ \\ = > length = 3\)

Hence is pantry is 3 feet long.

To solve the differential equation y'' - y = xe^(x/5) by variation of parameters with initial conditions y(0) = 1 and y'(0) = 0.25, we get y(x) = (1/5)x^2e^(x/5) + (11/25)e^(x/5) - (1/25)xe^(x/5).

Given differential equation is y'' - y = xe^(x/5). To solve this equation by variation of parameters, we assume the solution to be of the form y(x) = u(x)v1(x) + w(x)v2(x), where v1(x) and v2(x) are linearly independent solutions of the homogeneous equation y'' - y = 0.

The solutions of the homogeneous equation are y1(x) = e^(x/2) and y2(x) = e^(-x/2). Thus, we have v1(x) = e^(x/2) and v2(x) = e^(-x/2).

Using the product rule, we can calculate y'(x) and y''(x) as follows:

y'(x) = u'(x)v1(x) + u(x)v1'(x) + w'(x)v2(x) + w(x)v2'(x)

y''(x) = u''(x)v1(x) + 2u'(x)v1'(x) + u(x)v1''(x) + w''(x)v2(x) - 2w'(x)v2'(x) + w(x)v2''(x)

Substituting these values in the given differential equation, we get:

u''(x)v1(x) + 2u'(x)v1'(x) + u(x)v1''(x) + w''(x)v2(x) - 2w'(x)v2'(x) + w(x)v2''(x) - u(x)v1(x) - w(x)v2(x) = xe^(x/5)

Simplifying the above equation, we get:

u''(x)v1(x) + 2u'(x)v1'(x) + u(x)v1''(x) + w''(x)v2(x) - 2w'(x)v2'(x) + w(x)v2''(x) = xe^(x/5) + u(x)v1(x) + w(x)v2(x)

To solve for the functions u(x) and w(x), we use the following system of equations:

u'(x)v1(x) + w'(x)v2(x) = 0

u'(x)v1'(x) + w'(x)v2'(x) = xe^(x/5) + u(x)v1(x) + w(x)v2(x)

Solving the above system of equations, we get:

u(x) = ∫[-v2(x)(xe^(x/5))] / [v1(x)v2'(x) - v1'(x)v2(x)] dx + C1

w(x) = ∫[v1(x)(xe^(x/5))] / [v1(x)v2'(x) - v1'(x)v2(x)] dx + C2

where C1 and C2 are constants of integration.

Substituting the values of u(x) and w(x) in y(x) = u(x)v1(x) + w(x)v2(x), we get the particular solution of the differential equation.

y(x) = (1/5)x^2e^(x/5)

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50% of those who liked orange flavored soda also like lime flavored soda.

To find what percent of those who liked orange flavored soda also like lime flavored soda:

Let A and B represent the following events.

It is given that 70% of the people surveyed said they like the orange-flavored soda.

35% of the people surveyed said they liked the orange-flavored soda AND the lime-flavored soda.

(1) Conditional probability:

(2) If we have two events X and Y, and we need to find the probability of event X as event Y is given then the formula for conditional probability is:

(3) We need to find the percentage of those who liked orange flavored soda also like lime flavored soda.

Substitute P(A)=0.70 and P(A∩B)=0.35 in the above formula.

Therefore, 50% of those who liked orange flavored soda also like lime flavored soda.

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The complete question is given below:

The marketing research department at the Fresno Mall plans to survey teenagers about a newly developed soft drink. 70% of the people surveyed said they like the orange-flavored soda. 35% of the people surveyed said they liked the orange-flavored soda AND the lime-flavored soda. Using this information and the Text Editor, answer the following questions:

1. What is conditional probability?

2. Explain the formula for conditional probability.

3. Explain how to solve this example.

What percent of those who liked orange flavored soda also like lime flavored soda, and how did you come to that conclusion?

Answer:

108

Step-by-step explanation:

Answer:

the answer is 9.85

Step-by-step explanation:

the answer is 9.85 because the area is 19.7 so all you have to do is divide it by 2

Answer:

she weighs 2lbs 11oz more one month after birth

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

a. The percentage of people vaccinated were infected is, 1.07%.

b. The percentage of people not vaccinated infected is, 95.65%.

c. The percentage of people infected were vaccinated is, 4.35%.

d. The percentage of people infected were not vaccinated is, 36.85%.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

The percentage of people vaccinated were infected is,

= [3/(276 + 3)]×100%

= 1.07%.

The percentage of people not vaccinated infected is,

= (66/3 + 66)×100%.

= 95.65%.

The percentage of people infected were vaccinated is,

= [3/(3 + 66]×100%.

= 4.35%.

The percentage of people infected were not vaccinated is,

= [276/(276 + 473)]×100%.

= 36.85%

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Answer:

The smaller number is 27 and the larger number is 44

Step-by-step explanation:

Let x = the larger number

Let y = the smaller number

x + y = 71

x = y + 17  Substitute in y + 17 for x in the first equation.

x + y = 71

y +17 + y = 71  Combine the y's.

2y + 17 = 71  Subtract 17 from both sides of the equation

2y = 54  Divide both sides of the equation by 2

y = 27.  Plug 27 in for y for either of the two original equation to find x

x + y = 71

x + 27 = 71  Subtract 27 from both sides of the equation

x = 44

Answer: x = 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

doing map testing rn el o el

To solve for a nonzero vector x that is perpendicular to v = [1 8 4 8] and u = [5 -9 -4 -9], you can set up a system of linear equations that the components of x satisfy.

This system of linear equations can be expressed as follows:1x + 8y + 4z + 8w = 05x - 9y - 4z - 9w = 0To find a nonzero vector x that is perpendicular to v and u, you need to find the null space of the coefficient matrix of the above system of linear equations. In matrix form, the above system can be written as follows:

[1 8 4 8; 5 -9 -4 -9] [x; y; z; w] = [0; 0]The augmented matrix of the above system is:[1 8 4 8 | 0; 5 -9 -4 -9 | 0]You can perform elementary row operations on the augmented matrix to obtain the reduced row-echelon form of the matrix. Doing so gives you:[1 0 -1/3 -1 | 0; 0 1 4/9 1 | 0]The above matrix represents the system of equations:1x - (1/3)z - w = 01y + (4/9)z + w = 0Now, you can express x, y, z, and w in terms of the free variable(s). Let z = 3t and w = -9s. Then, x = t and y = (-4/9)t, where t and s are nonzero constants. Thus, the general solution to the system of equations is:x = t, y = (-4/9)t, z = 3t, w = -9sTherefore, a nonzero vector x that is perpendicular to v and u is given by:[x; y; z; w] = [t; (-4/9)t; 3t; -9s] = t[1; -4/9; 3; 0] where t is any nonzero constant.

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The student's mistake might have been that she assumed that there is only one possible triangle with angle measures of 90 degrees, 30 degrees, and 60 degrees. However, this is not true.

what is triangle ?

A triangle is a three-sided polygon, which is a closed two-dimensional shape with straight sides. It is one of the basic shapes in geometry and is used in various fields such as mathematics, physics, engineering, and architecture.

In the given question,

The student's mistake might have been that she assumed that there is only one possible triangle with angle measures of 90 degrees, 30 degrees, and 60 degrees. However, this is not true. In fact, there are infinitely many triangles with these angle measures, since the length of the sides can vary.

The most well-known triangle with angle measures of 90 degrees, 30 degrees, and 60 degrees is the 30-60-90 triangle, which has specific side ratios of 1:sqrt(3):2. But this is just one possible example of a triangle with those angle measures, and it is not the only one.

It is important to note that in a triangle, the angles determine the shape and the side lengths determine the size. Therefore, if two triangles have the same angle measures, they will be similar, but they may not necessarily be congruent unless they also have the same side lengths.

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To provide Logical Proofs with line-by-line justifications for the following arguments,

Let's use the first 4 rules of inference.

Given below is the justification for each step of the proof with the applicable rule of Inference.

E > M1. A > (E > ~F) Premise2. H v (~F > M) Premise3. A Premise4. ~H  Premise5. A > E > ~F 1, Hypothetical syllogism6.

E > ~F 5,3 Modus Ponens 7 .

~F > M 2,3 Disjunctive Syllogism 8.

E > M 6,7 Hypothetical SyllogismIf

A is true, then E must be true because A > E > ~F.

Also, if ~H is true, then ~F must be true because H v (~F > M). And if ~F is true,

Then M must be true because ~F > M. Therefore, E > M is a valid  based on the given premises using the first four rules of inference.

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The amount of money in an account at the end of 5 years will be $14,014.40.

To calculate this, we can use the continuous compounding formula: \(A = Pe^(rt)\) where P = 10,000, r = 6.75% (0.0675), t = 5.

Now, the amount of money in an account at the end of 5 years will be:

A = 10,000*e^(0.0675*5)

A = 10,000*e^0.3375

A = 10,000*1.40143960839

A = 14014.3960839

A = $14,014.40

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The probability of ml1 is 0.890, or 89.0% the specificity or probability of ml2 is 0.993, or 99.3% to three significant digits

To find the sensitivity of ml1, we need to look at the true positive rate, which is the probability of the machine learner predicting an intrusion given that an intrusion actually occurred. This can be found from the table as:

sensitivity = P(ml1 predicts intrusion | intrusion) = 0.0129/(0.0129 + 0.0016) = 0.890

Therefore, the probability of ml1 is 0.890, or 89.0% (to three significant digits).

To find the probability of ml2, we need to look at the true negative rate, which is the probability of the machine learner predicting a valid user given that a valid user is actually using the system. This can be found from the table as:

specificity = P(ml2 predicts valid user | valid user) = 0.985/(0.985 + 0.007) = 0.993

Therefore, the specificity of ml2 is 0.993, or 99.3% (to three significant digits).

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Rhines criterion implies that there is a minimum length scale for baroclinic instability to take place, which is given by:

L = 2π/kx = 2π[(N² - f₂²)/(f₁² - f₂²)]¹/²

In a 2-layer channel with a flat bottom and infinite width in y, the dispersion relation for baroclinic instability is given by:

ω = kx[(f₁² - f₂²)/(N² - f₂²)]¹/²

Where ω is the frequency, kx is the wavenumber in the x-direction, f₁ and f₂ are the Coriolis parameters for the upper and lower layers, and N is the buoyancy frequency.

In the presence of rotation, the minimum length for baroclinic instability to take place is determined by the condition that the frequency ω must be positive. This means that:

(f₁² - f₂²)/(N² - f₂²) > 0

or equivalently:

f₁ > (N²f₂)¹/²

This condition implies that the Coriolis parameter in the upper layer must be greater than the square root of the product of the buoyancy frequency and the Coriolis parameter in the lower layer. This is known as the "Rhines criterion" and represents a necessary condition for the development of baroclinic instability in rotating fluids.

Furthermore, the Rhines criterion implies that there is a minimum length scale for baroclinic instability to take place, which is given by:

L = 2π/kx = 2π[(N² - f₂²)/(f₁² - f₂²)]¹/²

This length scale represents the typical size of the eddies that form due to baroclinic instability in rotating fluids, and is proportional to the inverse square root of the difference between the Coriolis parameters in the upper and lower layers.

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Answer:

336

Step-by-step explanation:

12*28

Answer: A, B, and E

Step-by-step explanation:

On edgenuity

Answer:

A B and E is correct on edge 2021

Step-by-step explanation:

trust me i got it correct on edge

The weight of Fred's dog at the veterinarian appointment in March is 36 pounds.

Fred's dog weight in September= 45 pounds

Percentage increase= 25%

Fred's dog weight in March = x

45 = x + (25% of x)

45 = x + 0.25x

45 = 1.25x

divide both sides by 1.25

x = 45/1.25

x = 36 pounds

Hence, Fred's dog weighs 36 pounds in March.

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общий:2502500

отвечать:

5.5km = 500500

10.9km=991900

11.1km=1010100

Пошаговое объяснение:

5.5x91000=500500

10.9x91000=991900

11.1x91000=1010100

Function aligns value from one set to another. The function will have a removable discontinuity at x = -3.

A function assigns the value of each element of one set to the other specific element of another set.

As the function is given to us,

\(F(x) = \dfrac{(x^2+12x+27)}{(x^2+4x+3)}\)

Now, factorizing the numerator and the denominator,

\(F(x)=\dfrac{(x+3)(x+9)}{(x+3)(x+1)}\)

Now, in order to find the point at which the function will be discontinued, we will equate the denominator with 0.

\((x+3)(x+1)=0\\\\\\(x+3)=0\\x =-3\\\\\\(x+1)=0\\x=-1\)

Now, As (x+3) is the factor of the numerator and the denominator, therefore, you will have a removable discontinuity, which appears as a hole in the graph.

Hence, the function will have a removable discontinuity at x = -3.

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Answer:

first one is (-3,-3)

second one is B (x=-1)

Step-by-step explanation:

200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

The absolute difference between the predicted and actual values must be determined, added together, and divided by the total number of periods.

Forecasted values are as follows: 1,500 and 1,400

Values in actuality: 1,200 and 1,500

Absolute differences:

|1,500 - 1,200| = 300

|1,400 - 1,500| = 100

Now, we calculate the MAD:

MAD = (300 + 100) / 2 = 400 / 2 = 200

Therefore, 200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

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