What i an equation in lope-intercept form of the line that pae through (2,6) and (-4,-2)?

The height of the machine piston after 10 seconds is 2. 5m . Option B

Given the function;

y = 4.4 sin (0.4x -1.7) +2.3,

Where;

Given x as 10 seconds

y = 4. 4 sin ( 0.4(10) - 1. 7) + 2. 3

y = 4. 4 sin ( 4 - 1. 7) + 2. 3

y = 4. 4 sin (2. 3) + 2. 3

y = 4. 4(0. 04013) + 2. 3

y = 2. 47

y = 2. 5 meters in the nearest tenth

Thus, the height of the machine piston after 10 seconds is 2. 5m . Option B

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Answer:

D. 5.6 m

Step-by-step explanation:

Use your context clues.

All the other answers had O, like an X, so I put D, which was correct. *Wink*

Answer:

$14.612

Step-by-step explanation:

40% = 0.4

Find a 40% tip on a 36.53 meal.

We Take

36.53 x 0.4 = $14.612

So, the tip is $14.612

The addition of the polynomial \(x^{3}+3xy-2xy^{2} +y^{3}\) with \(2x^{3}-5x^{2} y-3xy^{2}-2y^{3}\) is  \(3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}\).

What is a polynomial?

⇒ A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

⇒ In the addition of polynomials, the like terms are added while in subtraction, the like terms are subtracted.

Calculation;

We have been given two polynomial which we have to add   \(x^{3}+3xy-2xy^{2} +y^{3}\) and \(2x^{3}-5x^{2} y-3xy^{2}-2y^{3}\)

The sign after addition or subtraction will always be of the variable having more value.

\((x^{3}+3xy-2xy^{2} +y^{3} )+(2x^{3}-5x^{2} y-3xy^{2}-2y^{3})\)

On adding like terms with each other

⇒ \((x^{3} +2x^{3})+ 3xy-5x^{2} y-(2xy^{2}+3xy^{2})+(y^{3}-2x^{3})\)

⇒ \(3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}\)

Hence the addition of the polynomial\(x^{3}+3xy-2xy^{2} +y^{3}\) and \(2x^{3}-5x^{2} y-3xy^{2}-2y^{3}\) is \(3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}\).

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Answer:

Step-by-step explanation:

Feel pleasure to help you.

Answer:

Picture? or no picture?

A variable by itself doesn't have a co efficient.

Answer:

Step-by-step explanation: 6

The curve is y = In(sec(x)) and we have to find its length. We are given the range as 0 ≤ x ≤ π/4. So, the formula for the length of the curve is given as:

To solve for the length of the curve of y = In(sec(x)), we use the formula,

`L = ∫[a,b] √[1+(f′(x))^2] dx`.Where, `a = 0` and `b = π/4`. And `f′(x)` is the derivative of `In(sec(x))`.

We know that:`f′(x) = d/dx[In(sec(x))]`

Using the formula of logarithm differentiation, we can write the above equation as:

`f′(x) = d/dx[In(1/cos(x))]`

So,`f′(x) = -d/dx[In(cos(x))]`

Therefore,`f′(x) = -sin(x)/cos(x)`

Substituting the values, we get:

`L = ∫[a,b] √[1+(f′(x))^2] dx`

`L = ∫[0,π/4] √[1+(-sin(x)/cos(x))^2] dx`

`L = ∫[0,π/4] √[(cos^2(x)+sin^2(x))/(cos^2(x))] dx`

`L = ∫[0,π/4] sec(x) dx`

Now, `L = ln(sec(x) + tan(x)) + C` where `C` is a constant.

We calculate the constant by substituting the values of `a = 0` and `b = π/4`:

`L = ln(sec(π/4) + tan(π/4)) - ln(sec(0) + tan(0))`

`L = ln(√2 + 1) - ln(1 + 0)`

`L = ln(√2 + 1)`

Thus, the exact length of the curve is `ln(√2 + 1)` units.

Thus, the exact length of the curve of y = In(sec(x)), 0≤x≤π/4 is `ln(√2 + 1)` units.

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Answer:

12

Step-by-step explanation:

The range is the difference between the highest and lowest values within a set of data.

According to the above question,

Highest value=2

Lowest value=-10

So,

2-(-10)=12

Answer:

7 Hours

Step-by-step explanation:

Because it takes Ryan 10hrs to finish the job, and with both Ryan and Molly it takes 3hrs to finish the job, so subtract 10 minus 3 and you get 7, therefore it takes Molly 7hrs to finish the job

Hope it's right

Answer:

-33/4 ft/s

Step-by-step explanation:

\(x^2+y^2=2500 \\ \\ 2x \frac{dx}{dt}+2y \frac{dy}{dt}=0 \\ \\ x\frac{dx}{dt}+y \frac{dy}{dt}=0 \\ \\ (30)(11)+40 \frac{dy}{dt}=0 \\ \\ \frac{dy}{dt}=-\frac{33}{4}\)

The distance across the river is 6 feet.

To find the distance across the river, we can consider the river as a right triangle. The horizontal distance across the river will be the hypotenuse of this triangle.

Given:

Length of the river = 10 feet

Vertical distance from one end to the river = 8 feet

Vertical distance from the other end to the river = 4 feet

Let's denote the horizontal distance across the river as x.

Using the Pythagorean theorem, we can set up the equation:

\(x^2 = (10)^2 - (8)^2\)

Simplifying:

\(x^2 = 100 - 64\\x^2 = 36\)

Taking the square root of both sides:

x = √36

x = 6

Therefore, the distance across the river is 6 feet.

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Answer:

0.1

Step-by-step explanation:

Just take 24/24 which is 1 and move the decimal one place to the left because there is an extra 0 on the denominator

Answer:

true for sure it \s pretty easy to do but hard to explain

Answer:

the answer is false I think

Answer:

  735.2 cm³

Step-by-step explanation:

You want the volume of a sphere with diameter 11.2 cm.

The volume of a sphere is given by the formula ...

  V =4/3πr³

We know that the radius r is half the diameter d, so we can write this as ...

  V = (4/3)π(d/2)³ = 4/24πd³ = (π/6)d³

With the given values, this is ...

  V = (3.14/6)(11.2 cm)³ ≈ 735.2 cm³

The sphere's volume is about 735.2 cm³.

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Therefore , the solution of the given problem of standard deviation comes out to be the value of x=48 is 0.4853 standard deviations away from the mean.

Statistics uses variance to measure variation. The square root with that number is used to compute the average variation here between data and the mean. In contrast to certain other quantifiable measures of variability, it takes into account all datasets in its calculations by comparing each result to the mean. Variations could be caused by internal or external forces, and they might involve things like unintended mistakes, inflated expectations, and shifting economic or commercial conditions.

Here,

Given :

Standard deviation is 12.59, with a mean of 54.11

X=48

employing the z-formula

=> z = x -u / α

Values are replaced to produce

=> z = 48 -54.11/12.59

the z value is

z= - 0.4853

As a result, it can be shown that the value of x=48 is 0.4853 standard deviations away from the mean.

Therefore , the solution of the given problem of standard deviation comes out to be the value of x=48 is 0.4853 standard deviations away from the mean.

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The complete question is " The annual rainfall in a town has a mean of 54.11 inches and a standard deviation of 12.59 inches. Last year there was rainfall of 48 inches. How many standard deviations away from the mean is that? Round your answer to two decimal places."

The difference between both is: C. cluster samples use randomly selected clusters; stratified random samples use pre-determined strata.

A cluster sample involves randomly selecting groups of participants as the sampling units, while a stratified random sample involves randomly selecting participants from pre-determined subgroups as the sampling units.

The difference between a cluster sample and a stratified random sample is that a cluster sample uses randomly selected clusters (groups) of participants as the sampling units, while a stratified random sample uses pre-determined strata (subgroups) of participants as the sampling units, and randomly selects participants from each stratum.

In a cluster sample, all individuals within a selected cluster are included in the sample, while in a stratified random sample, the number of individuals sampled from each stratum is proportional to the size of the stratum. Therefore, the key difference between these sampling techniques is the level of grouping used as the sampling unit.

Therefore, the answer is: C. cluster samples use randomly selected clusters; stratified random samples use pre-determined strata.

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Answer: \(y=(x-4)^2+(y+2)^2\)

Step-by-step explanation:

Using the formula \(y=(x-h)^2+(y-k)^2\) where the center is (h,k), find the center point. In this case, the center point is (4, -2). Plug it into the equation

Answer:

6

Step-by-step explanation:

There are 46 children attending the field trip.

Each van needs to transport 8 children.

To find the number of vans they need, we will divide the number of children by the number of children per van:

46 / 8 = 5.75 ≅ 6 vans

They need 6 vans.

Answer:

Step-by-step explanation:

they want the values of y and x.

DA=BC

DC=AB

so we can tell that given that E is an intersection:

DE=BE

CE=AE

Answer:

a protractor

Step-by-step explanation:

You measure a straight line with a ruler

You measure an angle with a protractor

Answer:

Protractor.

Step-by-step explanation:

A protractor is used to create an angle and a ruler is to draw a line.

Hope this helps, have a great day! :D

Restaurant chain has to sell at the rate of $9.5 to get maximum revenue from the sell.

The most noteworthy that the store ought to sell ought to be at $9.5 per burrito since, in such a case that they sell at $9.5, then they will get 1,805,000 for an everyday income (9.5 x 190,000 burritos).

On the off chance that they sell any higher, their everyday income will go down.

For instance, assuming they sell at $10 a piece, they can sell 180,000 (according to the standard that for each $0.50 expansion in cost, they need to diminish their deals volume by 10,000). 10 x 180,000 is 1,800,000 which is their everyday income assuming that they sell at $10 which is not as much as what they can get assuming they sell at $9.5.

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Correct question:

A restaurant chain sells 220,000 burritos each day when it charges $8. 00 per burrito. For each $0. 50 increase in price, the restaurant chain sells 10,000 less burritos.

a. how much should the restaurant chain charge to maximize daily revenue

Answer:

30000

Step-by-step explanation:

200x10x15=30000

Step-by-step explanation:

substitution property :

we know that

RS + ST = PS + SQ

RS + ST = RT

PS + SQ = PQ

now we can use RT and PQ as substitutes in the first equation and we get

RT = PQ

Answer:

0.27

Step-by-step explanation:

If you subtract 1.07 from 1.34 it would equal 0.27.

Answer:

Step-by-step explanation:

So first I divided 240 by 2 to get the hourly rate, which is 120. Then i multiplied 120 times 36 and got 4,320 quarts in 36 hours. The daily rate is 2,880, I got that by multiplying 120 by 24 because there are 24 hours in a day.

Answer:

A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Fr it A

The sampling technique is called "simple random sampling."

In the field of statistics, the process of sampling is used to select a subset of individuals or units from a larger population to study and analyze.

The goal of sampling is to gather data that can be used to make accurate and reliable inferences about the characteristics of the entire population.

One of the most common and straightforward methods of sampling is simple random sampling.

In this technique, each member of the population has an equal chance of being selected to be a part of the sample.

The process of selecting individuals for the sample is usually done through a randomization process, which ensures that each member of the population has an equal probability of being chosen.

Simple random sampling is considered to be an unbiased method of sampling because it ensures that all members of the population have an equal chance of being selected.

This helps to minimize the potential for sampling bias, which is a type of error that can occur when the sample selected is not representative of the entire population.

To implement simple random sampling, researchers can use various methods, including a random number generator or drawing names from a hat.

The sample size required for simple random sampling will depend on the size of the population and the level of precision required for the study.

Overall, simple random sampling is a powerful tool for gathering data that can be used to make accurate and reliable inferences about the characteristics of a larger population.

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The given differential equation \(\(x^{3} y^{\prime \prime \prime}-3 x y^{\prime}+80 y=0\)\) is a Cauchy-Euler equation. This statement is True.

A Cauchy-Euler equation, also known as an Equi-dimensional equation, is a linear differential equation whose standard form is as follows:

\(\[a_nx^ny^{(n)}+a_{n-1}x^{n-1}y^{(n-1)}+...+a_1xy'+a_0y=0\]\)

Where the coefficient functions \(a_0, a_1,..., a_n\) are constants

\(\(y^{(n)}\)\) denotes the nth derivative of y with respect to x.

A Cauchy-Euler equation is a special form of a linear ordinary differential equation that may be written as:

\(\[x^2y''+pxy'+qy=0\]\)

In the given equation,

\(\[x^{3} y^{\prime \prime \prime}-3 x y^{\prime}+80 y=0\]\)

We can see that the equation is in the form of a Cauchy-Euler equation because of the presence of x raised to different powers. Therefore, the given differential equation is a Cauchy-Euler equation.

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Answer:

50 minutes

Step-by-step explanation:

Amount of time his journey took = 15km ÷ 18km/h

                                                      = 0.833h (to 3sf)

                                                      = 50 minutes

Answer:

draw a sketch graph for values x and y. but just make sure they r the same e.g if x is 2 y should also be 2. plot points wen y is equal to x. (3,3) (4,4) (5,5). a straight line

for part y=x +2. make any number x e.g let x be 3. therefore y=2+3. y=5. so the point is (3,5). continue with this procedure with about three points then plot on a graph. and it is meant to be a straight line. A TABLE CAN ALSO WORK BUT SHOW STEPS ON HOW YOU GOT THE POINTS

Answer:

I think it's 3.

Step-by-step explanation:

Sorry if it's wrong.