what's 4x=36 what would the x be ​

32. Solving integral equation using the convolution theoremThe convolution theorem states that the convolution of two signals in the time domain is equivalent to multiplication in the frequency domain.

Therefore, to solve the given integral equation using the convolution theorem, we need to take the Fourier transform of both sides of the equation.

y(t) = ∫_{-∞}^{∞} sinh(−)g() + ∫_{-∞}^{∞} sinh(−−)g()Taking the Fourier transform of both sides, we haveY() = 2π[G()sinh() + G()sinh(−)]where Y() and G() are the Fourier transforms of y(t) and g(t), respectively.Rearranging for y(t), we gety(t) = (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]e^(j) d= (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)](cos()+j sin())d= (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]cos()d+ j(1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]sin()dTherefore, the solution to the integral equation is given by:y(t) = (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]cos()d + (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]sin()d

It is always important to understand the principles that govern an integral equation before attempting to solve them. In this case, we used the convolution theorem to solve the equation by taking the Fourier transform of both sides of the equation and rearranging for the unknown signal. The steps outlined above provide a comprehensive solution to the equation.  33. Fourier series representation of f(x)

The Fourier series representation of a periodic signal is an expansion of the signal into an infinite sum of sines and cosines. To find the Fourier series representation of the given signal, we need to first compute the Fourier coefficients, which are given by:an = (1/T) ∫_{-T/2}^{T/2} f(x)cos(nx/T) dxbn = (1/T) ∫_{-T/2}^{T/2} f(x)sin(nx/T) dxFurthermore, the Fourier series representation is given by:f(x) = a_0/2 + Σ_{n=1}^{∞} a_n cos(nx/T) + b_n sin(nx/T)where a_0, a_n, and b_n are the DC and Fourier coefficients, respectively. In this case, the signal is given as:f(x) = -1, -π

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The probability that we will see the movie in theater one and sit in the front row is (D) 2.5%.

To find the probability that we will see the movie in theater one and sit in the front row:

Given -

So,

Therefore, the probability that we will see the movie in theater one and sit in the front row is (D) 2.5%.

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The correct question is given below:

Two events are independent. The probability that you are going to see the movie in theater one is 25%. The probability that you will sit in the front row is 10%. What is the probability that you will see the movie in theater one and sit in the front row.

(A) 40%

(B) 35%

(C) 4%

(D) 2.5%

If I fully understand the question right, it would be choice B. The coefficient or the variable would be either for the other terms.

a) "You will get an A in this course if and only if you learn how to solve discrete mathematics problems."
b) "You will be informed if and only if you read the newspaper every day."
c) "It will rain if and only if it is a weekend day."
d) "You can see the wizard if and only if the wizard is not in."
e) "My airplane flight will be late if and only if I have to catch a connecting flight."

These propositions are written in the form "p if and only if q" in English, which means that both p and q must be true for the entire statement to be true.

This form is also known as a biconditional statement, and it is often used in logic and mathematics to express the relationship between two propositions.

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Answer:

4

Step-by-step explanation:

Four people will play basketball, so 10 - 4 = 6.

Half as many people will play baseball, and half of 4 is 2, so 6 -2 = 4.

The rest will play soccer, which is 4.

Step-by-step explanation:

Right triangles obey Pythagorean theorem :

?^2  = 2^2 + 9^2

?^2 = 85

? = sqrt 85  ft

Answer:

85ft

Step-by-step explanation:

Answer:

x = 11/5

Step-by-step explanation:

3-3x = -8x +14

5x = 11

x= 11/5

To determine the price per unit at which the quantity supplied equals 6 units, we need additional information such as the supply function or the relationship between price and quantity supplied.  The price and quantity relationship in the supply function can vary depending on various factors such as production costs, market conditions, and technology.

Therefore, it is crucial to have more context or data to determine the specific price per unit required for the quantity supplied to be 6 units.  In summary, without the supply function or more information, it is not possible to determine the exact price per unit at which the quantity supplied equals 6 units.

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Answer:

Ko-op is better

Step-by-step explanation:

1

£2.58/3= 86 p

2

£4.25/5= 85 p

3

£6.72/8= 84 p

Last one Ko-op is better

Answer:

Try D

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

The slope can be found using the RISE/RUN equaton.

Looking at both graphs we see that they are parallel so that tells us that they have the same slope.

We can count how many boxes up and then how many boxes right this line goes to find the slope.

We also know that the slope is positive because the lines are increasing from left to right.

High clouds are those that form at altitudes of at least 20,000 ft (6000 m).

At high altitudes, ice crystals form due to which cloud formation occurs.   Cirrus, cirrostratus, and cirrocumulus clouds are a few types of clouds. Cirrostratus clouds frequently form a thin, white layer that resembles a veil and covers the entire sky. Small, spherical, white clouds called cirrocumulus develop in long rows. Because they can provide information about changes in atmospheric pressure, temperature, and moisture levels in the upper atmosphere, these high clouds are crucial for meteorologists to investigate.

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Answer:

18x

Step-by-step explanation:

Collect like terms.

2((5x+4x)+(4-4))

Simplify (5x+4x)+(4−4) to 9x.

2×9x

Simplify.

18x

Answer:

( Hint)

Step-by-step explanation:

55-5= 5x>-25-5

50= 5x>-30

10=x>-6

The maximum mass of the water bug to avoid sinking is approximately 0.079 grams.

To determine the maximum mass of the water bug that avoids sinking, we need to consider the buoyant force acting on it. The buoyant force is equal to the weight of the water displaced by the bug.

Calculate the volume of water displaced:

The bug's weight is balanced by the buoyant force, so the volume of water displaced is equal to the volume of the bug.

Each leg has a length of 5 mm, which means the total height of the bug is 5 mm. Assuming the cross-sectional area of the bug is constant along its height, we can use the formula for the volume of a cylinder to calculate the volume:

Volume = π * radius^2 * height

Since each leg is cylindrical, the radius would be half the leg's diameter, which is 5 mm (or 0.005 m).

Therefore, the volume of water displaced by the bug is:

Volume = π * (0.005 m)^2 * 0.005 m

Calculate the weight of the water displaced:

The weight of the water displaced is equal to the buoyant force acting on the bug.

Weight of water displaced = density of water * volume of water displaced * acceleration due to gravity

The density of water is approximately 1000 kg/m³, and the acceleration due to gravity is approximately 9.8 m/s².

So, the weight of the water displaced is:

Weight of water displaced = 1000 kg/m³ * Volume * 9.8 m/s²

Calculate the maximum mass of the bug:

The maximum mass of the bug is the mass at which its weight equals the weight of the water displaced:

Maximum mass = Weight of water displaced / acceleration due to gravity

Maximum mass = (1000 kg/m³ * Volume * 9.8 m/s²) / 9.8 m/s²

Now, let's plug in the values and calculate the maximum mass of the bug:

python

import math

radius = 0.005  # in meters (5 mm)

height = 0.005  # in meters (5 mm)

density_water = 1000  # in kg/m³

acceleration_due_to_gravity = 9.8  # in m/s²

volume = math.pi * radius**2 * height

weight_of_water_displaced = density_water * volume * acceleration_due_to_gravity

maximum_mass = weight_of_water_displaced / acceleration_due_to_gravity

maximum_mass_grams = maximum_mass * 1000  # converting to grams

print("Maximum mass of the bug to avoid sinking:", maximum_mass_grams, "grams")

Using the above calculations, the maximum mass of the water bug to avoid sinking is approximately 0.079 grams.

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Explanation:

The left and right edges of the box represent Q1 and Q3 respectively

Q1 = first quartile

Q3 = third quartile

The boxplot shows Q3 = 54

The span from Q3 to the max represents exactly 25% of the population.

Take 25% of the 23 employees

0.25*23 = 5.75

Rounding to the nearest whole number leads to 6.

Answer:

1. Because they are Vertically opposite

2. 2 lines that form a straight line and form 180 degrees when added are called a linear pair.

3. Because angle 1 and 2 is a linear pair and forms 180 degrees. The same goes for angles 2 and 3.

4. Because when they are a linear pair and together they form 180 degrees.

5. Angle 1 and 2, angles 2 and 3 are linear pairs. And linear pairs always form 180 degrees. So, they are both equal.

6. Because they are vertically opposite angles.

7. Because they are vertically opposite angles.

:) :) :) :) :) :) :)

Answer:

Rs 6900

Step-by-step explanation:

To calculate the tax amount the girl should pay in a year, we need to determine the taxable income and then apply the corresponding tax rates.

The taxable income is calculated by subtracting the tax-free allowance from the girl's early income:

Taxable Income = Early Income - Tax-Free Allowance

Taxable Income = 150,000 - 100,000

Taxable Income = 50,000

Now, we can calculate the tax amount based on the given tax rates:

For the first 20,000 rupees, the tax rate is 12%:

Tax on First 20,000 = 20,000 * 0.12

Tax on First 20,000 = 2,400

For the remaining taxable income (30,000 rupees), the tax rate is 15%:

Tax on Remaining 30,000 = 30,000 * 0.15

Tax on Remaining 30,000 = 4,500

Finally, we add the two tax amounts to get the total tax she should pay in a year:

Total Tax = Tax on First 20,000 + Tax on Remaining 30,000

Total Tax = 2,400 + 4,500

Total Tax = 6,900

Therefore, the girl should pay 6,900 rupees in tax in a year.

After reducing all the book prices by 50%, the new median price is determined to be $7.70 (B)

To find the new median price after reducing all the book prices by 50%, we first need to calculate the reduced prices. By reducing each given price by 50%, we get $6.375, $7.40, $9.995, $4.975, $8.00, and $8.975 respectively.

Next, we arrange these reduced prices in ascending order: $4.975, $6.375, $7.40, $8.00, $8.975, and $9.995. The median is the middle value in this ordered list. Since there are six prices, the middle two values are $7.40 and $8.00.

To find the median, we take the average of these two values, which gives us ($7.40 + $8.00) / 2 = $7.70.

Therefore, the new median price, after reducing all the book prices by 50%, is $7.70 (B). This means that the median price of the books, after the reduction, is $7.70.

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The strategy for generating a hypothesis that does not fit among the options provided is option C) Thinking of things unilaterally.

Introspection, finding exceptions to the rule, and thinking about variables in terms of amount or degrees are all valid strategies for generating hypotheses.

Introspection involves reflecting on personal experiences, thoughts, and observations to generate hypotheses about a particular phenomenon or question.

Finding exceptions to the rule involves identifying instances that do not conform to the expected pattern or generalization, which can lead to the formulation of alternative hypotheses.

Thinking about variables in terms of amount or degrees involves considering how varying levels or quantities of a particular variable may impact the outcome or relationship being studied, which can help generate hypotheses about the nature and direction of the relationship.

On the other hand, "thinking of things unilaterally" is not a recognized strategy for generating hypotheses. The term "unilaterally" typically refers to actions or decisions made by one side or party without considering others.

Hypothesis generation involves considering multiple perspectives, factors, and possibilities, rather than approaching it unilaterally.The correct answer is option c.

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Take the square root of each side.

\(\sf \sqrt{x^{2} } =\sqrt{25} \\\\\\ x=\± 5\)

The equation for the normal line B gives us :

L: (x,y,z) = (0,0,7) + t(1, 1, 1), t ∈ R

Full question is:

Find equations of the tangent plane and the normal line to the given surface at the specified point. x + y + z = 7e(xyz) at a specified point (0, 0, 7)

If we have a level surface, then it will give us

f(x,y,z) = x+y+z = 7e(xyz). where f is the function of the x, y, and z coordinates.

Now let us calculate the ∇ gradient of f at point (0,0,7):

∇ = (fx,fy,fz) = (1−7yz,1−7xz,1−7xy)

= (1, 1, 1)

We get the equation for the tangent plane A:

A: 1(x−0) + 1(y−0) + 1(z−7)=0

This can also be written as:

x+y+z = 7 ------------------------------------------------------------------(a)

The equation for the normal line B gives us :

L: (x,y,z) = (0,0,7) + t(1, 1, 1), t ∈ R --------------------------------(b)

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Answer:

-2d + 6

Step-by-step explanation:

Distribute and combine like terms.

Hope this helps. Pls give brainliest.

Answer:

-2d+6

Noice picture man

Answer:

Step-by-step explanation:

You need to know trigonometry for this.\

You can't solve this without a scientific calculator.

TOA means Tan x = Opposite/Adjacent or in this case, 5.1/4.2

tan x = 5.1/4.2

arctant(tanx) = arctan(5.1/4.2)

x = arctan(5.1/4.2)

≈ 50.5°

arctan x is also known as tan inverse x

Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

Answer:

Step-by-step explanation:

I ha d the same question! what I’ve been seeing is 1 m = 4 cm if it makes sense ..