workout the difference in temperature between noon and midnight

The y-intercept of the quadratic function f(x) = (x - 6)(x + 2) is -12.

The y-intercept of a quadratic function is the point at which the graph of the function crosses the y-axis. This means that when x = 0, the value of y is equal to the y-intercept. In the case of the function f(x) = (x - 6)(x + 2), when x = 0, the value of y is equal to -12. This means that the y-intercept of the function is -12. To find the y-intercept, we can also substitute 0 for x in the equation, which would give us 0 = (0 - 6)(0 + 2), which simplifies to 0 = -12, and thus the y-intercept is -12.

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The purpose is to demonstrate the ability to predict and measure the frequency response of a nontrivial signal in a system of circuits connected in series. The first step is to derive the governing equation (LCCDE) of the system and verify its stability.

1. To derive the governing equation (LCCDE) of the given circuits in the system, you need to first identify the circuit elements (resistors, capacitors, and inductors) and write the equations for each element according to Kirchhoff's voltage and current laws. Then, combine these equations to form the LCCDE. Stability can be verified by analyzing the characteristic equation and ensuring that all poles have negative real parts.

2. To find the overall frequency response H(jω), you can convert the LCCDE into the frequency domain using the Laplace or Fourier transform, and then simplify the expression. Once you have H(jω), you can plot it as a Bode plot by graphing the magnitude and phase as a function of frequency on a logarithmic scale.

3. To derive the output of the system y2(t), first obtain the CTFS of the given square wave input x(t). Then, use the CTFT to find the output of the system by multiplying the input spectrum with the overall frequency response H(jω) and performing the inverse Fourier transform. When T = 1/1000 s, you can plot the input and output over one cycle as a function of time by calculating the time-domain expressions for x(t) and y2(t) and plotting them within the given interval.

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The  |120-x| simplifies to 120-x when x is less than 120.

S If x is less than 120, then the expression |120-x| simplifies to 120-x. This is because the absolute value bars mean that the result must be positive,

so if x is already less than 120, then subtracting x from 120 will give a positive result.

For example, if x is 115, then |120-x| would equal |120-115|, which simplifies to |5|, which equals 5.  

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False, r2adj is the adjusted coefficient of determination that can exceed r2 if there are several weak predictors.

R2adj is the adjusted coefficient of determination and takes into account the number of predictors in the model. It penalizes the addition of insignificant predictors that do not improve the model fit.

R2, on the other hand, is the coefficient of determination and measures the proportion of variability in the dependent variable that is explained by the independent variables in the model.

It is possible for R2 to increase when weak predictors are added, but this increase is not necessarily mean that the predictors do not have a significant impact on the outcome.

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The question is -

R2adj can exceed R2 if there are several weak predictors. true or false?

Answer:

Graph A

Step-by-step explanation:

when shading, y is less than the line so you shade below. also y is not equal to any points on the line so you make a dotted line

The inequality given by (x/3) + 5 ≥ 1/6 has the solution x ≥ -29/2 or [-29/2 , +∞).

Inequality refers to the relationship between two non-equal expressions. It can be denoted by > for greater than, < for less than, >/= for greater than and equal to, and </= for less than and equal to.

To solve an inequality is to find the values of x such that when we substitute that number for x we have a true statement.

Given the inequality (x/3) + 5 ≥ 1/6, subtract 5 from both sides.

(x/3) + 5 - 5 ≥ 1/6 - 5

x/3 ≥ -29/6

Multiply both sides by 3.

3(x/3) ≥ 3(-29/6)

x ≥ -29/2

To check, let x = -29/2

x = -29/2 ≥ -29/2

Substitute this value to the inequality.

(x/3) + 5 ≥ 1/6

(-29/2)/3 + 5 ≥ 1/6

1/6 ≥ 1/6

let x = -14,

x = -14 ≥ -29/2

Substitute this value to the inequality.

(x/3) + 5 ≥ 1/6

-14/3 + 5 ≥ 1/6

1/3 ≥ 1/6

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Answer:

x=7

Step-by-step explanation:

You need to bring 9x to the right side and bring '-ll' to the left side so it will be 11+10 = 12x-9x. Then you calculate 11+10, which is 21, then you subtract 12x to 9x. Then it will be 21 = 3x. Lastly, you divide 3 on both sides of the equation and get x to be 7!

Answer:

x=7

Step-by-step explanation:

9x+10=12x-11

-9x. -9x. subtract 9x from both sides

10 = 3x-11

+11 +11. add 11 to both sides

21 =3x

divide by 3x (21 ÷3=7) therefore x=7

To find the limit of cos(x+sin(x)) as x approaches 0, we can directly substitute 0 into the expression:lim(x→0) cos(x+sin(x)) = cos(0+sin(0)) = cos(0+0) = cos(0) = 1. Therefore, the limit of cos(x+sin(x)) as x approaches 0 is 1.

(b) To find the limit of (sqrt(x^2 + 4x + 1) - 1) / (x - 4) as x approaches 2, we can simplify the expression by multiplying the numerator and denominator by the conjugate of the numerator:

lim(x→2) (sqrt(x^2 + 4x + 1) - 1) / (x - 4) = lim(x→2) [(sqrt(x^2 + 4x + 1) - 1) * (sqrt(x^2 + 4x + 1) + 1)] / [(x - 4) * (sqrt(x^2 + 4x + 1) + 1)]

Simplifying further, we get:

lim(x→2) (x^2 + 4x + 1 - 1) / [(x - 4) * (sqrt(x^2 + 4x + 1) + 1)] = lim(x→2) (x^2 + 4x) / [(x - 4) * (sqrt(x^2 + 4x + 1) + 1)]

Now, we can substitute x = 2 into the expression:

im(x→2) (2^2 + 4*2) / [(2 - 4) * (sqrt(2^2 + 4*2 + 1) + 1)] = lim(x→2) (4 + 8) / (-2 * (sqrt(4 + 8 + 1) + 1)) = 12 / (-2 * (sqrt(13) + 1)) = -6 / (sqrt(13) + 1)

Therefore, the limit of (sqrt(x^2 + 4x + 1) - 1) / (x - 4) as x approaches 2 is -6 / (sqrt(13) + 1).

(c) The given expression, lim(x→3) (3 + 4 + sqrt(14 - x)), can be evaluated by substituting x = 3:

lim(x→3) (3 + 4 + sqrt(14 - x)) = 3 + 4 + sqrt(14 - 3) = 3 + 4 + sqrt(11) = 7 + sqrt(11)

Therefore, the limit of the expression as x approaches 3 is 7 + sqrt(11).

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The central limit theorem tells us that the distribution of the sample mean will be approximately normal if the sample size is sufficiently large. This information can be used to calculate the standard error and construct confidence intervals.

The sampling distribution of the sample mean is approximately normally distributed.

This statement is true. When the sample size is large\((n ≥ 30),\) the sampling distribution of the sample mean is approximately normally distributed. The sample mean is the mean of the sample's measurements, while the sampling distribution of the sample mean is the distribution of all possible sample means with a particular sample size.The central limit theorem guarantees that the sampling distribution of the sample mean is approximately normal if the sample size is large enough. This is due to the fact that the distribution of the population is not necessary. This theorem allows us to use the normal distribution in inferential statistics, making it an important theorem in statistics. When the sample size is less than 30, it is appropriate to use the t-distribution instead of the normal distribution because the t-distribution takes into account the extra uncertainty generated by the smaller sample size.The sampling distribution is critical to statistical inference because it helps us estimate population parameters by making inferences based on sample statistics. For instance, suppose we want to know the mean salary of all the employees in a firm. We could take a random sample of employees and calculate their average salary.

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Answer:

what is the topic po para maganda answer

The base of the triangle is 4 m and the height of the triangle is 8 m.

The are of the triangle is A = 1/2 × b × h

where 'b' is the base and 'h' is the height

For given example,

A triangle has a base of x^1/3 m and a height of x^1/2 m.

Also, the area of the triangle is 16 m^2​

⇒ \(b = x^{\frac{1}{3}} ~m,h=x^{\frac{1}{2} }~m, A=16~m^{2}\)

Using the formula for area of the triangle,

\(\Rightarrow A=\frac{1}{2}\times b\times h\\\\\Rightarrow 16=\frac{1}{2}\times x^{\frac{1}{3} }\times x^{\frac{1}{2} }\\\\\Rightarrow 16\times 2=x^{\frac{1}{3} + \frac{1}{2} }\\\\\Rightarrow 32=x^{\frac{5}{6} }\\\\\Rightarrow 32^6=(x^{\frac{5}{6} })^6\\\\\Rightarrow 32^6=x^5\\\\\Rightarrow x=32^{\frac{6}{5}}\\\\\Rightarrow x=64\)

So, the base of the triangle would be,

\(\Rightarrow b=x^{\frac{1}{3} }\\\\\Rightarrow b=64^{\frac{1}{3} }\\\\\Rightarrow \bold{b=4}\)

and the height of the triangle would be,

\(\Rightarrow h=x^{\frac{1}{2}}\\\\\Rightarrow h=64^{\frac{1}{2} }\\\\\Rightarrow \bold{h=8}\)

Therefore, the base of the triangle is 4 m and the height of the triangle is 8 m.

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Answer:

4

Step-by-step explanation:

f(3) = -6

f(7) = 6

Find the slope over that interval using those points.

Slope = [6 - (-6)]/(7-4) = 4

when \( D(t) = 0 \), \( t = 3.1 \). the inverse function of \( D(t) \) is:

\[ D^{-1}(x) = \frac{{15.5 - x}}{5} \].

To find the inverse function of \( D(t) = 15.5 - 5t \), we need to swap the roles of \( x \) and \( t \) and solve for \( x \).

Let's start by writing the inverse function as \( D^{-1}(x) \):

\[ x = 15.5 - 5t \]

Now, let's solve for \( t \):

\[ 5t = 15.5 - x \]

Divide both sides by 5:

\[ t = \frac{{15.5 - x}}{5} \]

Therefore, the inverse function of \( D(t) \) is:

\[ D^{-1}(x) = \frac{{15.5 - x}}{5} \]

Now, let's complete the statements:

1. \( D^{-1}(8) = \frac{{15.5 - 8}}{5} = \frac{7.5}{5} = 1.5 \)

2. The value of \( t \) such that \( D(t) = 0 \) can be found by setting \( D(t) = 0 \) and solving for \( t \):

\[ 15.5 - 5t = 0 \]

Subtract 15.5 from both sides:

\[ -5t = -15.5 \]

Divide both sides by -5:

\[ t = \frac{-15.5}{-5} = 3.1 \]

Therefore, when \( D(t) = 0 \), \( t = 3.1 \).

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The intersection of given set a and b is a∩b = {5}.

According to the given question.

We have two sets a and b.

a = {2, 5, 8, 11, 14}

And, b = {1, 3, 5, 7}

As, we know that "the intersection of two sets A and B is the set of all those elements which are common to both A and B. Symbolically, we can represent the intersection of A and B as A ∩ B".

Since, only the element which is common to set a and set b is 5.

Thereofore, the intersection of given set a and b is given by

a∩b = {5}

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Answer:

Each goat gets 3 carrots and there are 4 extra carrots left

Step-by-step explanation:

5*3=15

OR: If you wanted to do it exact you give each goat 3 carrot's and an 1/8th of one and you'd have no extra carrots left.

5*3.8=19

Answer:

the answer is simple 3 remainder of 4

Step-by-step explanation:

so he had 5 goats and 19 carrots  

19/5=3.8 which mean 3 and 4  left

Domingo earns 715$ in the week that is his gross income

14, I think its 14. let me know if I'm right

Answer:

\(a_n=4n-11\)

Step-by-step explanation:

The common difference is \(d=4\) with the first term being \(a_1=-7\), so we can generate an explicit formula for this arithmetic sequence:

\(a_n=a_1+(n-1)d\\a_n=-7+(n-1)(4)\\a_n=-7+4n-4\\a_n=4n-11\)

Answer:

Martin's Bowling cost = $5x

Isabelle Bowling cost = $5x + 3

where x is the total games Martin and Isabelle played.

Step-by-step explanation:

As given,

There are 2 people - Martin and Isabelle

Each game costs = $10

Let they both play total games = x

⇒total game cost = $10x

As they split the cost , it means the cost is divided into half

⇒Martin game cost = $5x

Isabelle game cost = $5x

Also, given that Isabelle pays $3 to rent shoes.

⇒$3 is added to the Isabelle game cost

∴ we get

Isabelle game cost = $5x + 3

so, we get

Martin's Bowling cost = $5x

Isabelle Bowling cost = $5x + 3

Answer:

18

Step-by-step explanation:

To find a percent of a number, change the percent to a decimal by dividing the percent by 100 and multiply by the number.

25% of 72 =

= 25/100 × 72

= 0.25 × 72

= 18

Answer: it would be 18

Step-by-step explanation:

if X is a uniformly distributed continuous random variable from 0 to 1. Let Y=-In(1-X), the probability that Y is less than 3 is 0.9502. This falls within the specified margin of error of +/- 0.01,

To find the probability that Y is less than 3, we first need to determine the cumulative distribution function (CDF) of variable Y. Let's begin by finding the distribution of Y.

Y = -ln(1 - X)

Taking the derivative of Y with respect to X, we get:

dY/dX = -1 / (1 - X)

Now, we can use the probability density function (PDF) of X to find the PDF of Y:

f_Y(y) = f_X(g^-1(y)) * |(dg^-1(y) / dy)|

where g(x) = -ln(1-x), g^-1(y) = 1 - e^-y, and |(dg^-1(y) / dy)| = e^-y.

Since X is uniformly distributed from 0 to 1, its PDF is f_X(x) = 1 for 0 <= x <= 1.

Thus, we have:

f_Y(y) = 1 * e^-y = e^-y

for y > 0.

Now, let's find the CDF of Y:

F_Y(y) = P(Y <= y)

      = P(-ln(1-X) <= y)

      = P(1-X >= e^-y)

      = P(X <= 1-e^-y)

Since X is uniformly distributed from 0 to 1, its CDF is:

F_X(x) = x for 0 <= x <= 1

Therefore, we have:

F_Y(y) = F_X(1-e^-y) = 1 - e^-y

for y > 0.

Now, we can find the probability that Y is less than 3:

P(Y < 3) = F_Y(3)

        = 1 - e^-3

        = 0.9502 (rounded to four decimal places)

Therefore, the probability that Y is less than 3 is 0.9502. This falls within the specified margin of error of +/- 0.01, so we can be confident in our result.

In summary, we first found the distribution of Y by taking the derivative of Y with respect to X and using the PDF of X. We then found the CDF of Y by using the CDF of X and the inverse function of Y. Finally, we used the CDF of Y to find the probability that Y is less than 3, which was within the specified margin of error.

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Answer:

15

Step-by-step explanation:

Answer:

3 water bottles

Step-by-step explanation:

25-10=15

15/5=3

Answer:

The answer is c: 1cm/3in = 3 cm/Xin

Step-by-step explanation: