A line has a slope of 1 and passes through the point ( 2 , 4 ) ​ ​Find the equation need help asap

Given:

Circles A, B, and C overlap.

The overlap of circles B and C is labeled x.

To find:

The three correct statements about x.

Solution:

It is given that the overlap of circles B and C is labeled x. It means x represent the common elements of B and C.

So, x belongs to the intersection and union of B and C.

\(x\in B\cup C\)

\(x\in B\cap C\)

Since x is the element of C, therefore it is also the element of A union C.

\(x\in A\cup C\)

The overlap of circles B and C is labeled x. It means \(x\notin A\). So,

\(x\notin A\cap C\).

Therefore, the correct options are A, B and C.

Answer:

A, B and C.

Step-by-step explanation:

edge

Answer:

89.70 dollars

Step-by-step explanation:

If Juwad picked 30 bags of apples and only sold 26 of them for 3.45 each, then you would have to multiply the number of bags sold by the price, and you would get your answer. So in this case:

1. (#sold)* (price)= total amount of money made

2. 26*3.45= 89.70

3. And you can check by dividing 89.70(your answer) by the price of the apples

4. 89.70/3.45= 26

Answer:

The area is 25

Step-by-step explanation:

To find an area of a square just multiply the same number by itself like in this problem multiply 5 X 5

Answer:

Step-by-step explanation:

-2x + 5 = 3

-2x = -2

x = 1

The Celsius temperature that has the same value as when converted to a Fahrenheit temperature is -40

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

F = 9/5C + 32

The Celsius temperature that has the same value as F implies that

C = F

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

C = 9/5C + 32

So, we have

C - 9/5C = 32

Evaluate the like terms

-4/5C = 32

So, we have

C = -32 * 5/4

Evaluate

C = -40

Hence, the value of C is -40

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Answer:

28.095 cm^2

Explanation:

To determine the area of the given shape, we have to determine the area of the complete rectangle, then subtract the areas of each of the cut-out semi-circles as seen below;

From the shape, let's determine the length and width of the rectangle;

Length(l) = 2 cm + 5 cm + 2 cm = 9 cm

Width(w) = 1 cm + 4 cm + 1 cm = 6 cm

So the area of the complete rectangle will be;

Let's now determine the area of the top semi-circle given that the radius is 2cm (radius = diameter/2 = 4/2 = 2cm);

Given that the two semi-circles by the side of the rectangle have the same radius(r) which is 2.5cm (r = diameter/2 = 5/2 = 2.5cm), let's go ahead and determine their area;

So the area of the shape will be;

Therefore, the area of the shape is 28.095 cm^2

The total cost of each utility eliminating 450 tons of pollution is $180,000.

To calculate the total cost for each utility to eliminate 450 tons of pollution, we need to multiply the cost per ton of pollution elimination by the number of tons each utility needs to eliminate.

For People's Electric, the cost of eliminating one ton of pollution is $400. So, to eliminate 450 tons, the total cost would be 450 tons * $400/ton = $180,000.

For Municipal Energy, the cost of eliminating one ton of pollution is $350. Again, to eliminate 450 tons, the total cost would be 450 tons * $350/ton = $157,500.

Therefore, the total cost for each utility to eliminate 450 tons of pollution is $180,000 for People's Electric and $157,500 for Municipal Energy.

The cost calculation is based on the given information that each utility is provided with 450 pollution permits by the government. These permits allow them to legally produce a ton of pollution. By setting a limit on the number of permits, the government aims to reduce pollution by half. The utilities have the option to trade permits with each other.

In this scenario, People's Electric has a higher cost of eliminating pollution per ton compared to Municipal Energy ($400 vs. $350). It means that People's Electric would find it more expensive to reduce pollution through internal measures like investing in cleaner technology or implementing environmental initiatives. On the other hand, Municipal Energy has a lower cost, indicating that they have relatively more cost-effective methods for pollution reduction.

Given these costs, it is more beneficial for People's Electric to purchase permits from Municipal Energy rather than eliminating the pollution themselves. By purchasing permits, People's Electric can meet the pollution reduction target at a lower cost. Conversely, Municipal Energy can generate additional revenue by selling their permits.

This permit trading mechanism allows for cost efficiency in achieving the government's pollution reduction goal. The total cost for each utility is determined by multiplying the cost per ton of pollution elimination with the number of tons they need to eliminate.

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Answer:

b^2-4ac(formula for finding the roots )

Step-by-step explanation:

1)9-4k=0

k=9/4(roots are real )

2)4-4k+4=0

8-4k=0

k=2(the roots are real )

3)64-8k=0

k=8

4)36-16k+16=0

52-16k=0

k=52/16=13/8

16-4k+4=0

k=5

Step-by-step explanation:

Advanced single-variable quadratic equations and complex numbers are advanced topics studied in high school mathematics curricula in the US. The specific grade at which they are introduced and studied may vary depending on the state, district, or school.

In general, single-variable quadratic equations are usually introduced in the 9th or 10th grade in high school, but some schools may introduce them in earlier grades.

These equations are a type of polynomial equation of degree two that can be written in the form

ax² + bx + c = 0,

where a, b, and c are constants and x is a variable. The study of quadratic equations includes topics such as factoring, completing the square, and the quadratic formula.

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Step-by-step explanation:

Two interior opposite angles of a triangle are equal to the exterior angel

\(60 + 60 = 2x - 80 \\ 120 = 2x - 80 \\ 2x = 120 + 80 \\ 2x = 200 \\ x = \frac{200}{2} \\ x = 100\)

Explanatory variable: The type of pill the men took each day.

Response variable: Whether a subject had a heart attack.

We have been given that :

Participated candidates are 400

Men are divided randomly so we find out explanatory and response  variable.

The explanatory variable is the variable that is manipulated by the researcher. Explanatory Variable also known as the independent or predictor variable, it explains variations in the response variable; in an experimental study, it is manipulated by the researcher.

Response variable: Response Variable is the result of the experiment where the explanatory variable is manipulated. It is a factor whose variation is explained by the other factors. Response Variable is often referred to as the Dependent Variable or the Outcome Variable.

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Answer:

y = x + 5

Step-by-step explanation:

Given that the hits to a web site occur at a rate of 10 per minute between 7:00 P.M. and 10:00 P.M., we can say that the web site experiences a Poisson process. The value of land for this Poisson process is 260.

The random variable X represents the number of hits to the web site between 7:56 P.M. and 8:22 P.M.

To find the values of λ, we need to use the formula for the Poisson distribution:

P(X = k) = (λ^k * e^-λ) / k!

where λ is the average number of hits per unit time.

Since we are interested in the hits between 7:56 P.M. and 8:22 P.M., which is a duration of 26 minutes, we need to adjust the rate of hits accordingly. Therefore, λ for this duration would be:

λ = 10 hits/min * 26 min = 260 hits

So, the values of λ for this Poisson process would be λ = 260.

To determine the values of λ (lambda) for this Poisson process, we need to first calculate the time interval between 7:56 P.M. and 8:22 P.M. and then find the expected number of hits to the website during that time.

Step 1: Calculate the time interval
The time interval between 7:56 P.M. and 8:22 P.M. is 26 minutes.

Step 2: Determine the expected number of hits
The website receives hits at a rate of 10 per minute. To find the expected number of hits during the 26-minute interval, multiply the rate by the length of the interval:
10 hits/minute * 26 minutes = 260 hits

Step 3: State the value of λ for the Poisson process
The random variable X represents the number of hits to the website during this interval. Since the expected number of hits is 260, the value of λ for this Poisson process is 260.

Your answer: The value of λ for this Poisson process is 260.

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1. A graph of two similar, but not equal, right triangles using segments of line AB as the hypotenuse of each triangle is shown below.

2. The three pair of corresponding angles and sets of proportionate sides include:

ΔACE ≅ ΔBDF, ΔAEC ≅ ΔBFD, and ΔCAE ≅ ΔDBF.

AC = BD, EC = FD, and AE = BF

3. Yes, the slope of line is the same between any two points on the line.

In Mathematics and Geometry, two triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Part 1.

In this exercise, we would use an online graphing tool to create two similar, but not equal, right triangles by using line segments AB as the hypotenuse of each triangle.

Part 2.

Based on the side, side, side (SSS) similarity theorem, we can logically deduce the following congruent (similar) triangles and sets of proportionate sides:

Part 3.

In Mathematics and Geometry, the slope of any straight line can be determined by using this formula;

Slope = (y₂ - y₁)/(x₂ - x₁)

Slope AC = (0 + 1)/(-3 + 5)

Slope AC = 1/2.

Slope BD = (3.5 - 2)/(4 - 1)

Slope BD = 1/2.

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Answer:

A-an inequality sign

Step-by-step explanation:

inequality sign:  greater then, less than, equal to.

expression: 2x + 3  no equal sign

equal sign: =

Variable: a letter in the equation such as n x 6=?

Hope this is correct.

Answer:

The square root of 5 is expressed as √5 in the radical form and as (5)½ or (5)0.5 in the exponent form.

Step-by-step explanation:

Percent decrease from 100 to 82 is 18% decrease.

Calculating the % decrease from 100 to 82,

\(\frac{82-100}{100}\)×100%

\(\frac{-18}{100}\)×100%

on simplifying we get,

-18%

here, negative sign indicates that there is a decrease of percentage.

Hence, we get 18% decrease from 100 to 82.

How to calculate Percent decrease?

Do the % growth and reduction calculations. By dividing the new number by the initial value, the percentage is computed.

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Answer:

33 is the correct answer

Answer:

2x+5

Step-by-step explanation:

if the number is x

∴ 5 more than twice a number is

       ll                          ll

       V                         V

       +5                        *2

So, 2*x+5

A two-tailed test is considered to be more powerful than a one-tailed test. Therefore, Option D (a two-tailed test) is the correct answer.

The one-tailed test and the two-tailed test are two sorts of hypothesis tests. The number of tails, as the name implies, is the fundamental distinction between the two sorts of hypothesis tests. The tails are the areas under the probability distribution curve that are beyond the critical values or the cut-off points.

The one-tailed test is one of the types of hypothesis testing in which an alternative hypothesis is generated in a specific direction. In comparison to two-tailed tests, they are simpler to conduct. The one-tailed test is less likely to reject the null hypothesis since it only tests one of the tails. On the other hand, the two-tailed test tests both tails of the distribution, making it more powerful since it is more inclusive than the one-tailed test.

The two-tailed test is more effective since it tests for discrepancies on both sides of the distribution, whereas the one-tailed test only tests for discrepancies on one side of the distribution.

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Da = rdr dθ.now, we can set up the integral:

ssr xy da = ∫∫r xy rdr dθ

integrating with respect to θ first:

∫∫r xy rdr dθ = ∫[0,π/2] ∫[1,√2] (r cosθ)(r sinθ) r dr dθ

simplifying:

∫∫r xy rdr dθ = ∫[0,π/2] ∫[1,√2] r³ cosθ sinθ dr dθ

integrating with respect to r:

∫[0,π/2] ∫[1,√2] r³ cosθ sinθ dr dθ = ∫[0,π/2] (1/4) (sin(2θ) - sinθ) dθ

evaluating the inner integral:

∫[0,π/2] (1/4) (sin(2θ) - sinθ) dθ = (1/4) [(-cos(2θ)/2) + cosθ]∣[0,π/2]                                  = (1/4) [(-cos(π) + 1/2) - (cos(0) + 1)]

                                 = (1/4) (-(-1/2) - 0)                                  = (1/4)(1/2)

                                 = 1/8.

to evaluate the double integral of ssr xy da over the region r, where r is the region in the first quadrant between x² + y² = 1 and x² + y² = 2, we need to set up the integral and determine the limits of integration.

since the region r is bounded by the curves x² + y² = 1 and x² + y² = 2, we can express the limits of integration in terms of polar coordinates.

in polar coordinates, x = r cosθ and y = r sinθ. we can rewrite the equations of the curves as r² = 1 and r² = 2.

the region r in polar coordinates can be defined by 1 ≤ r ≤ √2 and 0 ≤ θ ≤ π/2.

now, let's express the element da in terms of polar coordinates. in the cartesian coordinate system, da is given by da = dx dy. converting to polar coordinates, we have:

da = |j| dr dθ

where |j| is the jacobian determinant of the transformation from cartesian to polar coordinates, which is simply r. now, we can set up the integral:

ssr xy da = ∫∫r xy rdr dθ

integrating with respect to θ first:

∫∫r xy rdr dθ = ∫[0,π/2] ∫[1,√2] (r cosθ)(r sinθ) r dr dθ

simplifying:

∫∫r xy rdr dθ = ∫[0,π/2] ∫[1,√2] r³ cosθ sinθ dr dθ

integrating with respect to r:

∫[0,π/2] ∫[1,√2] r³ cosθ sinθ dr dθ = ∫[0,π/2] (1/4) (sin(2θ) - sinθ) dθ

evaluating the inner integral:

∫[0,π/2] (1/4) (sin(2θ) - sinθ) dθ = (1/4) [(-cos(2θ)/2) + cosθ]∣[0,π/2]                                  = (1/4) [(-cos(π) + 1/2) - (cos(0) + 1)]

                                 = (1/4) (-(-1/2) - 0)                                  = (1/4)(1/2)

                                 = 1/8

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Answer:

-128

Step-by-step explanation:

Given, f(x)=2x

3

−21x

2

+36x−20

∴f

′

(x)=6x

2

−42x+36

When f(x) is a maximum or a minimum, f

′

(x)=0

Hence, 6x

2

−42x+36=0

x

2

−7x+6=0

x

2

−6x−x+6=0

x(x−6)−1(x−6)=0

(x−6)(x−1)=0

x=1,6

Again f

′′

(x)=12x−42

=6(2x−7)

Now, when x=1,f

′′

(x)=−30 ....[negative]

And when x=6,f

′′

(x)=30 ....[positive]

Hence, f(x) is maximum for x=1 and minimum for x=6.

The maximum and minimum values of f(x) are

f(1)=2(1)

3

−21(1)

2

+36(1)−20

=2−21+36−20=−3

f(6)=2(6)

2

−21(6)

2

+36(6)−20

=432−756+216−20=−128

Answer:

$89.68 was their total bill (bill + tip)

Step-by-step explanation:

Turn the percentage into a decimal:

76 x 0.18 = 13.68

13.68 is the tip of their total bill. Now, add the tip and the total bill cost together.

13.68 + 76 = $89.68

According to the question (a) Population: 65,489 households. Sample: 300 randomly selected households. (b) Median family income (539,000): Statistic. Average persons per household (3.1): Parameter. Percentage living in a single household unit (83%): Statistic.

A researcher divides a city into three zones based on income levels and randomly selects households from each zone for a survey on spending habits. The type of sampling used in this scenario is stratified sampling.

(a) For the city planner's survey:

- Population: All 65,489 households in the city.

- Sample: The group of 300 randomly selected households surveyed by the planner.

(b) Identifying whether each number is a parameter or a statistic:

- The $39,000 median family income of the group of randomly selected households: Statistic

- The average of 3.1 persons per household of all the households in the city: Parameter

- The 83% of the group of randomly selected households that live in a single household unit: Statistic

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The value of the Arrow-Debreu security is calculated as the present value of its expected payoff, discounted at the risk-neutral rate. As a result, the premium of the Arrow-Debreu security can be computed using the following formula: \($P_{t}=\frac{1}{(1+R)^{n-t}}\times \pi$,\)

where π=0.4, R=1.05, n=6, and t=2 (expiry node).

By substituting the values, we obtain:

\($P_{2}=\frac{1}{(1+1.05)^{6-2}}\times 0.4 = \frac{0.4}{(1.05)^4} \approx 0.3058$.\)

Therefore, the premium of the Arrow-Debreu security is approximately $0.3058.

Arrow-Debreu securities are typically utilized in financial modeling to simplify the pricing of complex securities. They are named after Kenneth Arrow and Gerard Debreu, who invented them in the 1950s. An Arrow-Debreu security pays $1 if a particular state of the world is realized and $0 otherwise.

They are generally utilized to price derivatives on numerous assets that can be broken down into a set of Arrow-Debreu securities. The value of an Arrow-Debreu security is calculated as the present value of its expected payoff, discounted at the risk-neutral rate. In other words, the expected value of the security is computed using the risk-neutral probability, which is used to discount the value back to the present value.

The formula is expressed as:

\($P_{t}=\frac{1}{(1+R)^{n-t}}\times \pi$\),

where P_t is the price of the Arrow-Debreu security at time t, π is the risk-neutral probability of the security’s payoff, R is the risk-free rate, and n is the total number of time periods.However, Arrow-Debreu securities are not traded in real life. They are used to determine the prices of complex securities, such as options, futures, and swaps, which are constructed from a set of Arrow-Debreu securities.

This process is known as constructing a complete financial market, which allows for a more straightforward pricing of complex securities.

The premium of the Arrow-Debreu security is calculated by multiplying the risk-neutral probability of the security’s payoff by the present value of its expected payoff, discounted at the risk-neutral rate.

The formula is expressed as

\($P_{t}=\frac{1}{(1+R)^{n-t}}\times \pi$,\)

where P_t is the price of the Arrow-Debreu security at time t, π is the risk-neutral probability of the security’s payoff, R is the risk-free rate, and n is the total number of time periods. Arrow-Debreu securities are not traded in real life but are used to price complex securities, such as options, futures, and swaps, by constructing a complete financial market.

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As a result, on a graph of dP/dt vs P, the curve would be concave down for P b/a and concave up for P > b/a. The curve would reach its maximum when P = b/a, with dP/dt equal to zero.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign.

Here,

The equation dP/dt = aP² - bP represents the rate of change of the population P over time t.

When dP/dt is positive, the population is increasing. When dP/dt is negative, the population is decreasing.

To find when dP/dt is positive and negative, we need to find the critical points where dP/dt = 0.

Solving the equation dP/dt = aP² - bP = 0, we get:

aP² - bP = 0

aP(P - b/a) = 0

This equation has two solutions: P = 0 and P = b/a.

For P < b/a, dP/dt is negative (the population is decreasing). For P > b/a, dP/dt is positive (the population is increasing).

So, on a graph of dP/dt against P, the curve would be concave down for P < b/a and concave up for P > b/a. At P = b/a, the curve would have a maximum and dP/dt = 0.

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Answer:

30 cents per orange

Step-by-step explanation:

$2.40 ÷ 8 = 30 cents

Answer:

30 Cents per orange

Step-by-step explanation:

so 2.40/8 to x/1

it will then be 2.40x1 and 8x.

we divide 2.40 by 8 to get x by itself.

Then x = .3 so 30 cents. <3

The antiderivative of 1x (or simply x) is (1/2)x² + C, where C is the constant of integration. In other words, the antiderivative of x is the function whose derivative is equal to x.

This is a basic result in calculus, and it is derived using the power rule of integration. The antiderivative of 1x (or simply x) is the function whose derivative is equal to x. This function is (1/2)x² + C, where C is the constant of integration. To find the antiderivative, one can use the power rule of integration, which states that the antiderivative of xⁿ is (1/(n+1))x⁽ⁿ⁺¹⁾ + C. In the case of x, n is equal to 1, so the antiderivative is (1/2)x² + C. The constant of integration represents the family of functions that have the same derivative, so it is added to the antiderivative to reflect this.

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Answer:

1.255

Step-by-step explanation:

10^-1 equals 0.1

1÷8=0.125

so our greatest one is 1.255