Write an equation in slope-intercept form of the line that is perpendicular to the one given and passes through the given point. (4,8); y=-2x - 4

Answer: y= -1/20x + 38/5

or

y= -1/20x + 7.6

Step-by-step explanation:

y-y1 = m(x-x1)

m = 8-7 / -8 - 12 = 1/-20 = -1/20

y-8 = -1/20(x+8)

y=-1/20x - 8/20 + 160/20

y= -1/20x + 38/5

or

y= -1/20x + 7.6

Answer:It is perpendicular

Step-by-step explanation:

Perpendicular has each slope being the opposite of each other so the second equation would be a slope of 1/4.

Hi there!  

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I believe your answer is:  

\(h =\frac{A}{b}\)

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

\(\boxed{\text{Solving for 'h'...}}\\\\A=bh\\----------\\\rightarrow bh = A\\\\\rightarrow \frac{bh=A}{b}\\\\\rightarrow \boxed{h=\frac{A}{b}}\)

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

To sketch the frequency spectrum representing the modulated carrier psi(t) = (A + B * cos(ωt)) * cos(Nωt), we need to analyze the components and their corresponding frequencies in the equation.

The carrier signal psi(t) is given by the product of two cosine functions:

The first term (A + B * cos(ωt)) represents the envelope or amplitude modulation.

The second term cos(Nωt) represents the carrier frequency modulation.

To determine the frequency spectrum, we need to consider the frequencies involved in the modulation.

Carrier Frequency,

The carrier frequency is determined by the term cos(Nωt), where N is a large integer. The frequency of the carrier is Nω, which is a multiple of the angular frequency ω.

Sideband Frequencies,

The term A + B * cos(ωt) represents the envelope modulation. Since B * cos(ωt) is a cosine function with frequency ω, it creates two sidebands around the carrier frequency.

Lower Sideband, The lower sideband is located at a frequency ω - Nω.

Upper Sideband, The upper sideband is located at a frequency ω + Nω.

The sketch of the frequency spectrum will show the carrier frequency and the sidebands around it.

In the sketch, we have the carrier frequency fcarrier located at Nω, and the sidebands fsb located at Nω ± ω.

Please note that the amplitudes and specific values of A, B, ω, and N will determine the exact shape and positions of the frequency components in the spectrum. The sketch represents a general visualization of the frequency components based on the given equation.

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Answer:

b^3

Step-by-step explanation:

There are 3 b's = b^3

If the absolute value of the common ratio is less than 1, the geometric series is convergent; if the absolute value of the common ratio is equal to or greater than 1, the geometric series is divergent.

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The solution of the linear equation in one variable 4y - 6 = 2y + 8 is at y = 7.

According to the given question.

We have a linear equation in one variable.

4y - 6 = 2y + 8

As we know that, the linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.

Thereofre, the solution of the linear equation in one variable 4y - 6 = 2y + 8 is given by

4y - 6 = 2y + 8

⇒ 4y - 2y - 6 = 8     ( subtracting 2y from both the sides)

⇒ 2y -6 -8 = 0           (subtracting 8 from both the sides)

⇒ 2y - 14 = 0

⇒ 2y = 14

⇒ y = 14/2

⇒ y = 7

Hence, the solution of the linear equation in one variable 4y - 6 = 2y + 8 is at y = 7.

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$31.56

37.50-20%=30

30+5.2%=31.56

Answer: 4/8 of the pencils are blue

Step-by-step explanation:

Answer:

Step-by-step explanation:

if A=1/2 bh

to solve for b

2A=bh

b=2A/h

Carmen can conclude that the opposite angles of a parallelogram are indeed congruent.

To prove that the opposite angles of a parallelogram are congruent, Carmen can use the property that opposite angles in a parallelogram are supplementary.In a parallelogram, opposite sides are parallel and congruent, and consecutive angles are supplementary (they add up to 180 degrees). To prove that opposite angles are congruent, Carmen can draw a diagonal within the parallelogram.

By doing so, she creates two pairs of consecutive angles: one pair inside the parallelogram and one pair outside. Since opposite sides of the parallelogram are parallel, the interior angles created by the diagonal are congruent. By the property of consecutive angles in a parallelogram, the sum of the interior angles is 180 degrees. As a result, the exterior angles are also congruent.

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Answer:

p = - 115

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

px - 5y = 60 ( subtract px from both sides )

- 5y = - px + 60 ( divide all terms by - 5 )

y = \(\frac{1}{5}\) px - 12 ← in slope- intercept form

with slope m = \(\frac{1}{5}\) p , thus

\(\frac{1}{5}\) p = - 23 ( multiply both sides by 5 to clear the fraction )

p = - 115

Answer:

-3 < y < -1

Step-by-step explanation:

|4y+8| < 4                                   |4y+8| > -4

4y + 8 < 4                                   4y + 8 > -4

4y < -4                                         4y > -12

y < -1                                             y > -3

So, the answer is -3 < y < -1

I believe the answer is 48.3

Step-by-step explanation:

sorry if I'm wrong

Answer:

4)2.4

Step-by-step explanation:

                      -1.5 ( -3.6 + 2 )

            To solve this problem, we apply PEMDAS.

This is the order  of operation for mathematical problems.

P     Parentheses

E     Exponent

M    Multiplication

D    Division

A    Addition

S    Subtraction

             -1.5 ( -3.6 + 2 )

  Do the problem in the parentheses first,

              = -1.5 x (-1.6)

              = 2.4

Answer:

That they can mess up the whole house

Step-by-step explanation:

That's all I got, sorry if it's not very helpful.

Answer:

\(g(x) = \frac{x^2}{8}\)

Step-by-step explanation:

The function f(x) is compressed b a factor of 8 to function g(x).

This means that the function f(x) is multiplied by 1/8 (vertical compression) to get g(x)

\(f(x)=x^2\)

\(=> g(x) = 1/8 * x^2\\\\g(x) = \frac{x^2}{8}\)

That is the equation of g(x)

Answer:

Hello,

Step-by-step explanation:

All i can do is to show you the ellipse.

Answer:

The total number of numbers = 125

Answer:

Perpendicular

neither

\(y=\frac{4}{5}x-2\)

Step-by-step explanation:

By solving a system of equations we can find the two numbers:

y = 5 + √15

x = 5 - √15

We can define the two numbers as x and y, and we know that:

x*y = -10

x  + y = 10

So we have a little system of equations here.

We can isolate x on the second equation to get:

x = 10 - y

And now replace it on the first equation to get:

(10 - y)*y = -10

10y - y^2 = 10

Then we have a quadratic equation:

y^2 - 10y + 10 = 0

The solutions are given by:

\(y = \frac{10 \pm \sqrt{(-10)^2 - 4*10*1} }{2} \\\\y = \frac{10 \pm \sqrt{60} }{2}\\\\y = 5 \pm \sqrt{15}\)

So the two numbers are:

y = 5 + √15

x = 5 - √15

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Answer:

-0.5

Step-by-step explanation:

sorry if im wrong..

9514 1404 393

Answer:

  -0.5

Step-by-step explanation:

For an increase of 1 in x (as from 1 to 2, for example), the corresponding change in y-value is -0.5 (as from 0 to -0.5, for example).

The slope is the ratio of these changes:

  -0.5 / 1 = -0.5 . . . . slope of the relation in the table

Shoe Town provides the finest ultimate price, so Raven should purchase the boots there.

possessing an identical or consistent ratio or connection between two quantities: If y/x = k, in which k is the proportionality constant, then the numbers y and x are proportionate.

To determine which one is the best store for Raven let's calculate the price in each case.

Shoe Town

Total price:

Initial price - Mark down  + Sales tax

85.95 - 15% + 7.16 %

85.95 - 12.89 + 7.16 %

73.06 + 7. 16%

73.06 + 5.23 = 78.29

Lace Up

Total price:

Initial price - Mark down - Coupon + Sales tax

85.95 - 10% - 5 + 7.15%

89.95 - 8.99 - 5 + 7.15%

80.96 - 5 + 7.15%

75.96 + 7.15%

75.96 + 5.43 = 81.39

Run, Don't Walk

Total price:

Initial price + shipping

71.99 + 6.50 = 78.45

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Jeffrey has a fish tank that holds 8 liters of water. He already has the tank filled with 1 liter of water. Thus, to fill the fish tank completely with water, Jeffrey needs 7000 milliliters of water.

This is because 1 liter is equal to 1000 milliliters. Thus, 8 liters are equal to 8 × 1000 = 8000 milliliters.

Therefore, the amount of water Jeffrey needs to completely fill the fish tank is 8000 - 1000 = 7000 milliliters of water.

Jeffrey has a fish tank of 8 liters of water that already has 1 liter of water in it.

The amount of water Jeffrey needs to completely fill the fish tank is calculated by subtracting the liters of water already present in the tank from the total liters of water the tank can hold.To completely fill the fish tank, Jeffrey needs to fill the remaining 7 liters with water. One liter of water is equivalent to 1000 milliliters. Thus, Jeffrey needs to multiply the remaining liters of water he needs to fill by 1000 milliliters.

7 × 1000 = 7000

Therefore, Jeffrey needs 7000 milliliters of water to completely fill the fish tank with water.

To completely fill the fish tank, Jeffrey needs 7000 milliliters of water because he has already filled it with 1 liter of water, and the fish tank can hold 8 liters of water.

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\( < or \: \)

i am not so sure

Answer:

B) 14, 18, 5

Step-by-step explanation:

This is correct

The p-value of the test statistic is

P(X ≥ 20) = 1 - P(X ≤ 19) = 1 - Poisson(19 | 3) = 0.0472.

Therefore, we reject H0 and conclude in favour of H1. Hence, we may conclude that λ = 3.5.

(i) Find the Bayes estimate of λ.
Here, n = 6, x1 = x2 = x3 = x4 = x5 = x6 = 20
λ has the prior Gamma(α, β) with α = 10, β = 4.

Then the posterior distribution of λ is given by (By Bayesian Analysis theory)

π(λ|X) α + Σxi and β + n , where xi are the observations.The Bayes estimate of λ is the mean of the posterior distribution of λ:Thus E(λ|X) = α + Σxi / β + n = 10 + 20 / 4 + 6 = 30/10 = 3

(ii) Find a 90% credible interval for λ (Use the χ2 table and equal tail areas)

Given that the posterior distribution of λ is a Gamma(α + Σxi, β + n) distribution which is a χ2(2α + 2Σxi, 2(β + n)) distribution with non-centrality parameter 2Σxi, therefore the 100 (1 − α)% credible interval for λ is given by the solution to the inequality

χ²2(α) (2α + 2Σxi)≤C ≤χ²2(1 − α) (2α + 2Σxi),

where C is a constant such that the area under the χ²2(α) distribution to the right of the upper critical value and under the χ²2(1 − α) distribution to the left of the lower critical value is 0.05 each.

Substituting the given values, we get

χ²20.05 (2 × 10 + 2 × 20) ≤ C ≤χ²20.95 (2 × 10 + 2 × 20)

⇒χ²20.05 80 ≤ C ≤χ²20.95 80

Using χ² table, we get

χ²20.05 80 = 52.2 andχ²20.95 80 = 94.3

Therefore, the 90% credible interval is (52.2 / 2, 94.3 / 2) = (26.1, 47.15)

(iii) Test H0: λ = 3 vs H1: λ = 3.5, if they are the only possible values for λ, with prior probabilities:

π(λ = 3) = 2 and π(λ = 3.5) = 1/3

Here, we use the Bayes factor test.The Bayes factor for comparing H0 and H1 is given by:

BF(H0, H1) = π(H1) / π(H0) × f(X | H1) / f(X | H0) = (1/3) / 2 × Poisson(20 | 3.5) / Poisson(20 | 3)

where Poisson(20 | 3.5) denotes the probability of observing 20 in Poisson distribution with mean 3.5 etc.= 0.0964 / 0.0156 = 6.17

Let k be the value of BF(H0, H1) for which the prior probabilities of H0 and H1 are equal. Then for the given priors

π(H0) = 2 / (2 + 1/3) ≈ 0.857 and π(H1) = 1/3 / (2 + 1/3) ≈ 0.143,

it follows that k = π(H1) / π(H0) ≈ 0.1667

Let BF10 be the Bayes factor in favour of H1 over H0. Then we have

BF10 = BF(H0, H1) / k = 6.17 / 0.1667 = 37.02

Since BF10 > 1, we may conclude in favour of H1.

Thus, the test statistic is X / n = 20 / 6 = 3.33.

The p-value of the test statistic is

P(X ≥ 20) = 1 - P(X ≤ 19)

= 1 - Poisson(19 | 3)

= 0.0472.

Therefore, we reject H0 and conclude in favour of H1. Hence, we may conclude that λ = 3.5.

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The values of θ (between 0 and 2π) where tan(θ) = 1 are π/4 and 5π/4, and the values of θ (between 0 and 2π) where tan(θ) = -1 are 3π/4 and 7π/4.

To determine the values of θ (between 0 and 2π) where tan(θ) = 1, we can use the unit circle and the properties of the tangent function.

In the unit circle, the tangent of an angle θ is defined as the ratio of the y-coordinate to the x-coordinate of the point on the unit circle corresponding to that angle.

The tangent function is positive in the first and third quadrants and negative in the second and fourth quadrants.

For tan(θ) = 1, we are looking for angles where the y-coordinate and the x-coordinate are equal. In the first quadrant, there is an angle θ = π/4 (45 degrees) where tan(θ) = 1.

In the third quadrant, the angle θ = 5π/4 (225 degrees) also satisfies tan(θ) = 1.

To determine the values of θ (between 0 and 2π) where tan(θ) = -1, we follow a similar process. In the second quadrant, there is an angle θ = 3π/4 (135 degrees) where tan(θ) = -1.

In the fourth quadrant, the angle θ = 7π/4 (315 degrees) also satisfies tan(θ) = -1.

Therefore, the values of θ (between 0 and 2π) where tan(θ) = 1 are π/4 and 5π/4, and the values of θ (between 0 and 2π) where tan(θ) = -1 are 3π/4 and 7π/4.

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