Solve 3(x + 2) >x
Please ​

Answer:Pitch of the sound depends upon its frequency. As the pitch of the sound is directly proportional to frequency, Low-frequency sounds are said to have low pitch whereas sounds of high frequency are said to have the high pitch.

Step-by-step explanation:

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

From the question the equation is

y = 4x − 11

Comparing with the general equation above

Hope this helps you

The system equation that models the amount of calories from fats (f) and proteins (p) that the individual can consume to reach 1,800 calories is: f + p = 1,200. The equation that relates calories from protein (p) to calories from fat (f) based on the prescribed diet is: p = 3f. Solving the system of equations, we find that the individual should consume 300 calories from fats and 900 calories from proteins.

To find the equation that models the amount of calories from fats and proteins that the individual can consume in order to reach 1,800 calories, we consider that 600 calories will come from carbohydrates. Since the total goal is 1,800 calories, the remaining calories from fats and proteins should add up to 1,800 - 600 = 1,200 calories. Therefore, the equation is f + p = 1,200.

Based on the prescribed diet, the individual is required to consume calories from protein that are three times the calories from fat. This relationship can be expressed as p = 3f, where p represents the calories from protein and f represents the calories from fat.

To solve the system of equations, we substitute the value of p from the second equation into the first equation: f + 3f = 1,200. Combining like terms, we get 4f = 1,200, and dividing both sides by 4 yields f = 300. Substituting this value back into the second equation, we find p = 3(300) = 900.

Therefore, the individual should consume 300 calories from fats and 900 calories from proteins to meet the diet requirements and achieve a total of 1,800 calories.

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Answer:

y = x-4

Step-by-step explanation:

The standard form is;

y = mx + b

where m is the slope and b is the y-intercept

we have the two points as (0,-4) and (5,1)

so we find the slope using the slope formula;

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

m = (1 + 4)/(5-0) = 5/5 = 1

The y-intercept value is the value of y when x = 0

We already have a point (0,-4) and the equation would be:

y = 1(x) + (-4)

y = x-4

Answer: Answer in picture

Step-by-step explanation:

Math

Answer:

we're are the images pls

Answer:

treatment iijiijiuej325ufffufuvufuuuuuuuuuuuuuu

Answer:

16m

Step-by-step explanation:

Using the formula A=h_b*b/2

56=h_7*7/2

h_7*7=112

divide both sides by 7

h_7=16

There are 686,000 different license plates.

To solve this problem, we can fix one person's position and arrange the remaining (n-1) people around the table.

Since the seats are indistinguishable, we divide the total number of arrangements by n to avoid counting duplicate arrangements.

The number of different ways to sit n people around a round table is (n-1)!.

A license plate can have four one-digit numbers or two one-digit numbers and two letters.

For the first case, where the license plate has four one-digit numbers, there are 10 choices for each digit (0-9).

Therefore, there are 10 choices for the first digit, 10 choices for the second digit, 10 choices for the third digit, and 10 choices for the fourth digit. In total, there are 10^4 = 10,000 different license plates.

For the second case, where the license plate has two one-digit numbers and two letters, there are 10 choices for each digit and 26 choices for each letter (assuming only uppercase letters).

Therefore, there are 10 choices for the first digit, 10 choices for the second digit, 26 choices for the first letter, and 26 choices for the second letter. In total, there are 10^2 * 26^2 = 676,000 different license plates.

Different license plate = 10,000 + 676,000

                                     = 686,000

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Answer:

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Answer:

Step-by-step explanation:

20% tip on 52.22 is 10.44

52.22*0.2=10.44

I don't think he has enough to do it though

52.22+10.44=62.664

Answer: He doesn't have enough (2.66 dollars short) Max percentage: 14.9%

Step-by-step explanation:

If Rowan has $60 dollars and wants a 20% tip. He would need to multiply the restaurant bill by 6/5, of if easier 120%

$52.22 x 120% = 62.66 dollars.

62.66 - 60 = 2.66. Therefore, Rowan CANNOT pay off a 20% tip and has $2.66 short.

Now, if we wanted to calculate which percent he can pay at max we look at 60/52.22.

This will give us 1.14898. Because of this, we can determine what percent Rowan can pay at max. 1.14898 - 1 = 0.14898.

Therefore, converting to percent, he can pay 14.9%(rounded)

Answer: 4,879,682

Step-by-step explanation:

Answer:

4,879,682

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

what I did is used a calculator and did 108 x 0.25 (25% as a decimal)

An equation for the fish population, after years is P(t) ≈ 8000e-0.664t ± 0.00005

The equation for the fish population in a stocked lake can be determined using exponential growth.

The formula for exponential growth is

P(t) = \(P_0\)ert

where P(t) is the population after time t,

\(P_0\) is the initial population,

r is the rate of growth, and

e is the mathematical constant approximately equal to 2.71828.

The carrying capacity, K, is the maximum population that can be supported by the environment, and it is a limiting factor for population growth. When the population reaches K, the growth rate slows down until it reaches a point of equilibrium.

The carrying capacity can be estimated using a variety of methods, including the logistic model, which incorporates the carrying capacity into the equation for population growth.

However, for this problem, we are given an estimate of the carrying capacity, which we will use in the exponential growth equation.

We are also given the initial population,

\(P_0\) = 1100, and we are asked to find an equation for the fish population, P(t), after t years.

The rate of growth, r, can be determined using the following formula:

r = ln(P/K) / t

where ln is the natural logarithm, and t is the time it takes to reach the carrying capacity, K.

Since we don't have an exact value for K, we will use the estimated value of 8000.

Thus,

r = ln(1100/8000) / 1

r ≈ -0.664

The negative sign indicates that the population is decreasing, since the growth rate is negative.

Therefore, the equation for the fish population after t years is:

P(t) = 8000e-0.664t

To round to 4 decimal places, we can use the formula:

P(t) ≈ 8000e-0.664t ± 0.00005

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Answer:

(a) See attachment

\((b)\ y =2.5x\)

Step-by-step explanation:

Given

\(x \to pineapple\)

\(y \to fruit\)

\(x : y =2 : 5\)

Solving (a): The graph

First, we create an equation from \(x : y =2 : 5\)

Express as fraction

\(\frac{x }{ y} =\frac{2 }{ 5}\)

Cross multiply

\(2y = 5x\)

See attachment for graph

Solving (b): An expression that represents the relationship

In (a), we have:

\(2y = 5x\)

Divide by 2

\(y = \frac{5}{2}x\)

\(y =2.5x\)

The amount of time spent in the bowl is 1 1/4 hours

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

Total time = 1 1/2 hours

Time to rise = 1/4 hour

This means that

Time spent in the bowl = Total time - Time to rise

Substitute the known values in the above equation, so, we have the following representation

Time spent in the bowl = 1 1/2 - 1/4

Evaluate the like terms

Time spent in the bowl = 1 1/4

Hence, the time is 1 1/4 hours

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The standard deviation lies in the range of 0 to 1. The numerical value of standard deviation can never be negative.

The standard deviation is a measure of amount of variation or dispersion of a set of values. When we compare two unequal observations, the result is always greater than zero i.e., always positive.

Standard deviation is the square root of the variance of the observations and the root always gives values either positive or zero, it can never be negative.

Therefore, the numerical value of the standard deviation can be positive. The value of standard deviation is always greater or equal to zero.

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The value of xy in the given ratio is 12 meters, which suggests that xy is a product of two quantities.

Based on the given information, the ratio between ay and xy is 1:3. We know that ay = 4 meters. Let's find the value of xy. If the ratio between ay and xy is 1:3, it means that ay is one part and xy is three parts. Since ay is 4 meters, we can set up the following proportion:

ay/xy = 1/3

Substituting the known values:

4/xy = 1/3

To solve for xy, we can cross-multiply:

4 * 3 = 1 * xy

12 = xy

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Based on the given information and using the ratio, we have found that xy is equal to 12b, where b represents an unknown value. The exact length of xy cannot be determined without additional information.

The ratio between ayb and xyz is given as 1:3. We know that ay has a length of 4 meters. To find the length of xy, we can set up a proportion using the given ratio.

The ratio 1:3 can be written as (ayb)/(xyz) = 1/3.

Substituting the given values, we have (4b)/(xy) = 1/3.

To solve for xy, we can cross-multiply and solve for xy:

3 * 4b = 1 * xy

12b = xy

Therefore, xy is equal to 12b.

It's important to note that without additional information about the value of b or any other variables, we cannot determine the exact length of xy. The length of xy would depend on the value of b.

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x = ㏑₂8 in the logarithmic function.

A logarithmic function is the inverse of an exponential function.

Given  function if f(x) = \(2^{x}\),

When strength is equal to 8 pascals, f(x) = 8

Therefore, 8 = \(2^{x}\)

Taking log on both sides:

                 ln8 = ln\(2^{x}\)

                 ln8 = xln2

       or         x  = ln8/ln2

                    x = ㏑₂8

Hence, the required function is x = ㏑₂8.

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The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers. To calculate the t-value, the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

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The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

Given, M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers.

To calculate the t-value,

the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

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Answer:

6≤x>2

Step-by-step explanation:

2x+3(4-x)≤x<2(x+1)    simplify

2x+12-3x≤x<2x+2

first step:

-x+12≤x  

-x+12+x≤x+x

12≤2x , then 12/2 ≤ x

6≤x or x ≥ 6

second step: x<2x+2

x-2x<2x-2x+2

-x<2 when divide by negative the sign flip in this case from less to great than

x>2

6≤x>2

The probability (in percentage) that a score will fall between a -3z and +2 z scores is 97.59%.

Assuming a standard normal distribution, the probability that a score falls between -3z and +2z can be calculated as the difference between the cumulative probabilities of +2z and -3z.

Using a standard normal distribution table or calculator, we find that the cumulative probability of +2z is approximately 0.9772, and the cumulative probability of -3z is approximately 0.0013.

Therefore, the probability that a score falls between -3z and +2z is:

0.9772 - 0.0013 = 0.9759

Converting to a percentage, we get:

0.9759 x 100% ≈ 97.59%

So the probability that a score falls between -3z and +2z is approximately 97.59%.

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It is incorrect to say that the sum of a rational and an irrational number is always irrational (A) or always rational (B). Similarly, it is incorrect to say that the sum is never irrational (C). The correct statement is that the sum of a rational and irrational number is sometimes a rational number (D).

The correct answer is D. The sum of a rational and irrational number is sometimes a rational number.

To understand why, let's consider an example. Let's say we have a rational number, such as 2/3, and an irrational number, such as √2.

When we add these two numbers together: 2/3 + √2

The result is a sum that can be rational or irrational depending on the specific numbers involved. In this case, the sum is approximately 2.94, which is an irrational number. However, if we were to choose a different irrational number, the result could be rational.

For instance, if we had chosen π (pi) as the irrational number, the sum would be:2/3 + π

In this case, the sum is an irrational number, as π is irrational. However, it's important to note that there are cases where the sum of a rational and an irrational number can indeed be rational, such as 2/3 + √4, which equals 2.

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the  Answer C: 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

((3×5)+4)/5=

19/5

The improper fraction is 19/5.

We have to convert \(3 \dfrac{4}{5}\)  it into an improper fraction.

To convert into an improper fraction calculation must be done in a single unit following all the steps given below.

                    \(= \dfrac{3 \times 5 + 4}{5}\)

                    \(=\dfrac{15+4}{5}\\\\=\dfrac{19}{5}\)

Hence, The improper fraction is 19/5.

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To find the equation of the tangent line to the polar curve r = 12cos(θ) at θ = π/2, we need to determine the slope of the tangent line and the point of tangency.

The equation of the line tangent to the polar curve r = 12cos(θ) at θ = π/2 is x = 0.

The slope of the tangent line. The slope of a polar curve at a given point can be found using the derivative formula:

dy/dx = (dy/dθ) / (dx/dθ)

In polar coordinates, the relationship between x and y is given by:

x = rcos(θ)

y = rsin(θ)

Differentiating both x and y with respect to θ,

dx/dθ = dr/dθcos(θ) - rsin(θ)

dy/dθ = dr/dθsin(θ) + rcos(θ)

Substituting r = 12cos(θ), we have:

dx/dθ = d(12cos(θ))/dθ×cos(θ) - 12cos(θ)sin(θ)

dy/dθ = d(12cos(θ))/dθsin(θ) + 12cos(θ)×cos(θ)

Simplifying these derivatives, we find:

dx/dθ = -12cos(θ)×sin(θ) - 12cos(θ)×sin(θ) = -24cos(θ)×sin(θ)

dy/dθ = 12cos(θ)×sin(θ) - 12sin²2(θ) + 12cos²2(θ) = 12cos(θ)

Now, let's substitute θ = π/2 into the derivatives:

dx/dθ = -24cos(π/2)sin(π/2) = -240×1 = 0

dy/dθ = 12cos(π/2) = 0

At θ = π/2, the derivatives dx/dθ and dy/dθ both evaluate to 0. This indicates that the curve is not changing with respect to θ at this point, implying that the tangent line is vertical.

The polar equation r = 12cos(θ) represents a circle with a radius of 12 centred at the origin. At θ = π/2, the point of tangency is on the circle with coordinates (0, 12).

Since the tangent line is vertical and passes through the point (0, 12), its equation can be written as x = 0.

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Answer:

Step-by-step explanation:

Looking for the distance of 5 units

A. the distance between points W and X

B. the distance between points X and Y

C. the distance between points X and Z

D. the distance between points Y and Z

First, let's prove that if S ⊂ T, then S ∩ T = S. Since S is a subset of T, all elements of S are also elements of T. Therefore when finding the intersection of S and T, we will only get elements that are in both sets, which are all the elements of S. So, S ∩ T = S.

Next, let's prove the converse, that if S ∩ T = S, then S ⊂ T. If S ∩ T = S, then all elements of S are in the intersection of S and T, meaning they are also in T. So, every element of S is also an element of T, which means S is a subset of T (S ⊂ T).

In response to the given question, the statement to be proved is S ⊆ CT if and only if 25 ⊆ 2T. It is also required to prove that 2³ ∩ 2¹ = 2S∩T. To prove the given statement, it is necessary to prove that S is a subset of CT if and only if 25 is a subset of 2T.

Let us consider the following cases:1) If S is a subset of CT, then for any element s of S, s is also present in CT. Therefore, s must be present in both C and T.2) If 25 is a subset of 2T, then any element x of 25 must be of the form 2t for some t in T.

Therefore, x must also belong to T, since 2 is not an element of T. Since 25 is a subset of 2T, any element of 25 must be of the form 2t for some t in T. Hence 25 ⊆ T.

The statement to be proved is 23 ∩ 21 = 2S∩T. The intersection of two sets, A and B, is defined as the set containing all elements that are common to both sets.

Using this definition, we can write:2³ ∩ 2¹ = {8, 2} Therefore, 2S∩T = {x | x ∈ S and x ∈ T}. Combining these two, we have:2³ ∩ 2¹ = 2S∩T = {8, 2}This proves that 23 ∩ 21 = 2S∩T. Therefore, the required statement has been proved.

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