A line that includes the point (4, 5) has a slope of -2. What is its equation in point-slope
form?

Answer:

C.

Step-by-step explanation:

The drawing style is from Egypt

7=36a%4ahhggyuuuhgfdfyyytg

Answer:

It is less than a km

Step-by-step explanation:

A km is 1,000 meters, while a meter is 100cm, meaning that a km is 100,000 cm, making 52.800cm less than a km

A 20 year old has height below 3.7 feet and above 7.9 feet then 20 year old be considered abnormal.

The average height means that the given population determined by the interaction between the environment in which it lives and the resources it commands.

Abnormal means diffrent from what is normal or usual, in a way that worries you or that is unplesant.

We have given that average height is 5.8 feet.

And abnormal height a 20 year old must be 2.1 feet below average height or 2.1 feet above average height.

Therefore 5.8 - 2.1 = 3.7 feet

                 5.8 + 2.1 = 7.9 feet

Hence height below 3.7 feet abd above 7.9 feet is considered to be abnormal.

That means [-∞ , 3.7] and [7.9,∞] is considered to be abnormal height for 20 year old man.

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Answer:

a = 5.3

c = 11.3

m∠A = 28°

Step-by-step explanation:

Note:  You need to memorize the definitions of all the trig functions,  Then this type problem will be easy for you.  OK?

For example, tan of an angle = opposite side/adjacent side.

Tan 62 = 10/a

a tan 62 = 10

a = 10/tan 62 = 5.3

sin 62 = opp side/hypotenuse

          = 10/c

c sin 62 = 10

c = 10/sin 62

  = 11.3

The acute angles of a right triangle are complementary.

m∠A + 62 = 90

m∠A = 28°

Now, you try one on your own.

Answer:

No

Step-by-step explanation:

Find a common denominator, and that is 14. So we convert 1/2 into 7/14 and 2/7 to 4/14, and we see it is not proportional.

Answer:

Step-by-step explanation:

1:2=2:7

1/2=2/7

Product of means=1x7=7

Product of extreme=2x2=4

Since 7≠4. Hence, they are not in proportion.

Answer:

y=1/10x+2

Step-by-step explanation:

y-3=-10(x-2) This equation is in point-slope form so the slope is -10

The perpendicular slope is the negative reciprocal so 1/10.

Slope intercept form is y=mx+b

Plug in the points of the x-intercept and slope into y=mx+b

0=-20(1/10)+b

0=-2+b

b=2

y=1/10x+2

To find the minimum value of f(x) for -1 ≤ x ≤ 1, we need to look for critical points of the function in the given interval, and then determine whether they correspond to a minimum value.

The derivative of the function f(x) is given by:

f′(x) = e^(-x) cos(x^2)

The critical points of the function occur where f'(x) = 0 or where f'(x) is undefined.

First, let's look for where f'(x) = 0:

e^(-x) cos(x^2) = 0

cos(x^2) = 0

This equation is satisfied when x^2 = (2n+1)π/2, where n is an integer. However, these solutions are outside the interval [-1, 1], so we can ignore them.

Next, let's look for where f'(x) is undefined. The derivative f'(x) is undefined when e^(-x) = 0 or when cos(x^2) is undefined. However, neither of these conditions is satisfied in the interval [-1, 1], so we can ignore this case as well.

Therefore, there are no critical points of f(x) in the interval [-1, 1]. This means that the minimum value of f(x) in this interval must occur at one of the endpoints of the interval or at a local minimum outside the interval.

We have:

f(-1) = e cos(1)

f(1) = e^(-1) cos(1)

Using a calculator, we find that f(-1) ≈ 0.27 and f(1) ≈ 0.37. Therefore, the minimum value of f(x) in the interval [-1, 1] is f(-1) ≈ 0.27.

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We have proved that the given MA(2) model admits the infinite representation as \($Et = X+ + C Xt-1 + C2X{-2 + C3Xt-3 +....\)

Given invertible MA(2) model \(Xı = Et – 01€1-1 - 02€t-2 + ...\) where Ein N(0,02).

To prove that this admits the infinite representation as

= \(Et = X+ + C Xt-1 + C2X{-2 + C3Xt-3 +....\) Where:

Co =1,

C1 = 01,

C2 = 02 +02 and

Ck = Ck-101+Ck-202 for k > 3

hint: Use the fact that the inverse operator of the lags polynomial can be expanded as follows:

07'(B) = Li-,

CiBi vi=1

To show that the given model admits an infinite representation, we must use the inverse of the lag operator where `B` is the backward shift operator.`B^kX_t` will denote the value of the random variable X at time t-k.

Then the inverse operator of the lags polynomial can be expressed as:

\($$\ 07'(B) = Li-, CiBi vi=1 $$\)

This expression is known as the Lag operator expansion.

Using this formula we can write the given MA(2) model as

\($$X_t = E_t + \theta_1E_{t-1} + \theta_2E_{t-2}$$\)

where \($E_t$\) is a sequence of i.i.d. random variables with zero mean and variance \($0.02$\).

Using the Lag operator expansion and the above expression for the MA(2) model we get:

\($$\begin{aligned}&(1-\theta_1B-\theta_2B^2)X_t = E_t\end{aligned}$$\)

We know that the given MA(2) model is invertible, which means that the roots of the polynomial

\($1-\theta_1z-\theta_2z^2$\)

lie outside the unit circle.

This means that the inverse of the polynomial exists and it can be expanded as:

\($$\frac{1}{1-\theta_1z-\theta_2z^2} = \sum_{i=0}^{\infty} \psi_i z^i$$\)

where ,are the coefficients of the expansion.

This expression for the inverse polynomial can be used to write the infinite representation of the MA(2) model as follows:

\($$\begin{aligned}&(1-\theta_1B-\theta_2B^2)X_t = E_t\\&\Leftrightarrow X_t - \theta_1X_{t-1} - \theta_2X_{t-2} = E_t\\&\Leftrightarrow X_t = \theta_1X_{t-1} + \theta_2X_{t-2} + E_t\\&\Leftrightarrow X_t = \psi_0E_t + \psi_1E_{t-1} + \psi_2E_{t-2} + \psi_3E_{t-3} + ...\\&\Leftrightarrow X_t = E_t + C_1X_{t-1} + C_2X_{t-2} + C_3X_{t-3} + ...\end{aligned}$$where $C_1 = \psi_1$, $C_2 = \psi_2$ and $C_k = \psi_k + \theta_1\psi_{k-1} + \theta_2\psi_{k-2}$ for $k \geq 3$.\neq\)

Using these formulas we can calculate the values of the coefficients \($C_i$ for $i \geq 3$:$$\begin{aligned}&\psi_0 = \frac{1}{1-\theta_1z-\theta_2z^2}\\&\psi_1 = \theta_1\psi_0\\&\psi_2 = \theta_2\psi_0 + \theta_1\psi_1\\&\psi_3 = \theta_1\psi_2 + \theta_2\psi_1\\&\psi_4 = \theta_2\psi_2 + \theta_1\psi_3\\&\psi_5 = \theta_1\psi_4 + \theta_2\psi_3\\&...\\&C_3 = \psi_3 + \theta_1\psi_2 + \theta_2\psi_1\\&C_4 = \psi_4 + \theta_1\psi_3 + \theta_2\psi_2\\&C_5 = \psi_5 + \theta_1\psi_4 + \theta_2\psi_3\\&...\end{aligned}$$\)

Thus we have proved that the given MA(2) model admits the infinite representation as

\($Et = X+ + C Xt-1 + C2X{-2 + C3Xt-3 +....\)

Where: Co =1,

C1 = 01,

C2 = 02 +02 and

Ck = Ck-101+Ck-202 for k > 3.

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Answer: 1/8

Step-by-step explanation:

Answer:

1.

The explanatory variable is whether or not the student received tutoring. The response variable is the student's Geometry test score.

2.

The situation described is an observational study. In an observational study, the researcher does not control the variables. In this case, the researcher did not control whether or not the students received tutoring.

3.

Yes, I think the fact that the students were not required to do tutoring and signed up for it voluntarily may impact the scores. Students who are motivated enough to sign up for tutoring may be more likely to be high achievers in the first place.

4.

Some other possible variables that may explain why the Geometry test scores are higher for those who did tutoring than for those who did not do tutoring include:

5.

Based on this study, we cannot conclude that tutoring caused the students' Geometry test scores to increase. The study is observational, and there are many other possible explanations for the difference in test scores.

6.

To design an experiment that would allow us to determine if tutoring causes an increase in Geometry test scores, we would need to do the following:

If the tutoring group scores significantly higher than the control group, then we can conclude that tutoring caused the increase in test scores.

Answer:

Amy can purchase up to 14 lunches until her mother receives the notification. When she has the 15th lunch, the notification will be sent.

Step-by-step explanation:

The balance Amy has in her lunch account is a function of the number of lunches she has consumed.

The initial balance is $50 and it decreases by $3 for every lunch Amy has. Thus, the function that models the balance in her lunch account is:

\(B(x)=50-3x\)

Where x is the number of lunches.

Her mother receives a notification when the balance goes at $5 or lower, thus the condition that triggers the notification is:

\(B(x) \le 5\)

Or, equivalently:

\(50-3x\le 5\)

Subtracting 50:

\(-3x\le 5-50\)

\(-3x\le -45\)

Multiplying by -1 (and flipping the sign):

\(3x\ge 45\)

Solving:

\(x\ge45/3\)

\(x\ge 15\)

Amy can purchase up to 14 lunches until her mother receives the notification. When she has the 15th lunch, the notification will be sent.

Answer:

$172.50 was the original cost

Answer:

Step-by-step explanation:

16% of 576

=16/100 x 576

=2304/25

=92 4/25

Answer:

The answer is 4(x+1)(x+2).

Step-by-step explanation:

First, you have to simplify the expression by taking out the common terms :

\(4 {x}^{2} + 12x + 8\)

\( = 4( {x}^{2} + 3x + 2)\)

Next, you have to factorize it by elaborating :

\( 4( {x}^{2} + 3x + 2)\)

\( = 4( {x}^{2} + x + 2x + 2)\)

\( = 4(x(x + 1) + 2(x + 1))\)

\( = 4(x + 1)(x + 2)\)

Answer:

solution,

\(4 {x}^{2} + 12x + 8 \\ = 4( {x}^{2} + 3x + 2) \\ = 4( {x}^{2} + (2 + 1)x + 2) \\ = 4( {x}^{2} + 2x + x + 2) \\ = 4(x(x + 2) + 1(x + 2) \\ = 4(x + 2)(x + 1)\)

Answer:

Union

Step-by-step explanation:

None of the terms in each inequality intersect.

so its not intersection

Its two inequalities put together so its union

Parameter are values ​​that represents fixed characteristics of a population.

What is a parameter?

The parameter is an important component in statistical analysis because it describes fixed characteristics of the given population. The way to conclude the population characteristics is to perform statistical analysis on a sample of the population then calculate it with the parameter formula. The most commonly used parameters are mean, median, and mode. Data distribution of a ratio can be described by mean.  The Median is used to calculate the variables of data distribution which has a few data points that are different. Mode is used to know which number appears the most in a data distribution.

Based on statistical calculations from the existing population sample, conclusions can be drawn regarding the fixed characteristics of the entire population using parameters.

Hence, a parameter represents fixed characteristics of a population.

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The height into inches is:

Multiply the number of feet by 12.

1 feet × 12 = 12 inches.

To change a value or expression from one form to another. • Measurement: to change from one unit to another such as from inches to millimeters, or liters to gallons, etc. Example: convert 12 inches to millimeters. 12 inches × 25.4 mm/inch = 304.8 mm.

Multiply the number of feet by 12.

In the example problem, multiply like this:

5 feet × 12 = 60 inches.

Now, We have to calculate the height into inches.

1 feet × 12 = 12 inches.

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The angle that corresponds to angle x in the two given figures is angle y.

To find corresponding angles in similar figures, you need to identify the pairs of angles that are in the same position or location in the figures. These angles have the same relative position and measure in the figures, and are called corresponding angles.

From the two figures, the corresponding angles, given the angle marking would be :

The angle that corresponds to angle x is therefore angle y.

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The probability of drawing a red paper clip first and a blue paper clip second is 15/132 or approximately 0.1136.

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

The probability of drawing a red paper clip on the first try is 3/12, because there are 3 red paper clips out of 12 total paper clips in the drawer. Once a paper clip has been removed, there are 11 paper clips remaining, so the probability of drawing a blue paper clip on the second try is 5/11, because there are 5 blue paper clips remaining out of the 11 total remaining paper clips.

The probability of both of these events occurring is the product of their individual probabilities, so the probability of drawing a red paper clip first and a blue paper clip second is:

(3/12) * (5/11) = 15/132

Therefore, the probability of drawing a red paper clip first and a blue paper clip second is 15/132 or approximately 0.1136.

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The average value of the function

`f(t)=e^(0.07t)` on the interval `[0,10]` is`14.29 (e^0.7-1)`

To determine the average value of the function:

`f(t)=e^(0.07t)`

on the interval `[0,10]`, we will use the formula:

Average value of a function on the interval

`[a, b]`=`1/(b-a)`

`∫_a^b f(x) dx`

To find the average value of the function

`f(t)=e^(0.07t)`

on the interval `[0,10]`,

we need to evaluate the following integral:

`∫_0^10 e^(0.07t) dt`.

Step-by-step solution: We can solve it using integration by substitution, with

`u = 0.07t` and `du = 0.07dt`

.The limits of integration,

`t = 0` and `t = 10`,

become `u = 0` and `u = 0.7`, respectively.

`∫_0^10 e^(0.07t) dt`

=`1/0.07` `∫_0^0.7 e^u du``

=14.29 (e^0.7-1)`

Thus, the average value of the function

`f(t)=e^(0.07t)` on the interval `[0,10]` is`14.29 (e^0.7-1)`

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Using the given exponential function,

The rate of the disease spreading is approx. 140 peoples per day affected.

let P be the number of people's that are contacting a new disease.

given exponential function about the new disease modeled by population is

P(t) = 3725/(1 +1.72 e⁻⁰·⁵²ᵗ) ---(1)

where t is time measured in days

we want to calculate the rate of diseases spreading on day 4 i.e t = 4

putting the value t = 4 in above formula, we get

P(t=4) = 3725/(1 + 1.72 e⁻⁽⁰·⁵²⁾⁴)

=> P( t= 4) = 3725 / (1 + 1.72× e⁻⁰·²⁸)

=> P(t=4) = 3725/(1 + 1.72× 0.124)

=> P(t = 4) = 3725/(1+ 0.2148)

=> P(t=4) = 3725/1.2148

=> P(t = 4) = 3066.14

Hence, after 4 days of diseases spread , total 3066 people's are affected from it .

rate of diseases spreading per day is equal to (3725-3066)/4 = 659/4 = 139.75

so, rate of spreding diseases is 139.75 ~ 140 peoples per day .

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Answ guud ground

Step-by-step explanation:

qwertyuiollkmjhbvfdfghj boyn

Answer:

B.11+7=18

Step-by-step explanation:

its B because since its 7 days AFTER it means your going to have to add the 11 days plus this 7 days. Which would give you 18 days left till Susie's concert.

The domain of f is the set of all real numbers f(x,y) as (x,y) varies throughout the domain D with three variables.

What is a function?

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.

The functions of a point (or vector) in R2 or R3 that have real values will now be looked at. These functions will typically be defined on sets of points in R2, but there will be occasions when we utilise points in R3 and when it is more convenient to think of the points as vectors (or terminal points of vectors).

Each point f(x,y) in D is given a real number f(x,y) according to a real-valued function f defined on a subset D of R2. The domain of f is the set of all real numbers f(x,y) as (x,y) varies throughout the domain D, and the range of f is the greatest set D in R2 on which f is defined.

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The length of the chord located 0.7 cm from the centre of a circular ring with a 2.5 cm radius is approximately 3.5 cm.

To calculate the length of the chord, we can use the following formula:

Chord Length = 2 x √(r^2 - d^2)

Where r is the radius of the circular ring and d is the distance between the chord and the centre of the circle.

In this case, r = 2.5 cm and d = 0.7 cm. Plugging these values into the formula, we get:

Chord Length = 2 x √(2.5^2 - 0.7^2) ≈ 3.5 cm (rounded to the nearest tenth)

Therefore, the length of the chord is approximately 3.5 cm. This hidden watermark technique is a simple but effective security measure that can help prevent counterfeiting or tampering with important documents. By incorporating a unique and difficult-to-replicate watermark, the jewellery company can protect its brand identity and ensure the authenticity of its official documents.

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Answer: To find the RMS (Root Mean Square) of a function, you need to perform the following steps:

Square the function: For a function f(x), compute f(x)^2 for each x.

Compute the mean of the squared function: Find the average value of f(x)^2 over the range of x values. You can do this by integrating f(x)^2 over the range and then dividing by the range, or by computing the sum of f(x)^2 values and dividing by the number of values.

Take the square root of the mean: The RMS is the square root of the mean value of f(x)^2, calculated in step 2.

In mathematical notation, the RMS of a function f(x) over the range [a,b] is given by:

RMS = sqrt((1/(b-a)) * integral from a to b of (f(x))^2 dx)

or

RMS = sqrt((1/N) * sum from i=1 to N of (f(x_i))^2)

where N is the number of data points, x_i are the x values at each data point, and f(x_i) are the corresponding function values.

The RMS is a measure of the "effective" or "average" value of the function over the given range, and is often used in signal processing and electrical engineering to represent the magnitude of a varying signal.

Step-by-step explanation:

The equation could be used to solve for charles' rate if it is represented by x is 2x=54.

In the given question wehave to find the equation could be used to solve for charles' rate if it is represented by x.

Bill riding a bicycle at an average rate of 9 mph.

Charles' rate is x.

So the relative rate = x−9 mph

Distance traveled by Bill in 4 hours = 9*4 =36 mph

Charles' overtook Bill in 2 hours. So

Relative Rate = Distance/Time

x−9=36/2

Multiply by 2 on both side. We get

2(x−9)=36

Simplifying

2x−18=36

Add 18 on both side, we get

2x=36+18

2x=54

Hence, the equation could be used to solve for charles' rate if it is represented by x is 2x=54.

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