Write the equation of each line.

M=2; b= 1

Answer: Answer is SSS ok

Answer:

Break even 126 units

105x - (90x + 1890)  Profits will be revenue minutes expenses.

The second answer.

Step-by-step explanation:

105x = 90x +1890  Subtract 90x from both sides

15x = 1890  Divide both sides by 15

x 126

They need to sell 126 units to break even.

105(91) -[90(91) + 1890]

9555-8190-1890

9555 - 16380

-6825

Selling 91 units will produce a loss of 6825

The integration of  y′ = 2e^2x sin (e^2x) ⇒ y =_____+C is y = e^2x sin(e^2x) - (4/5)e^5x cos(e^2x) - (8/25)∫e^7x sin(e^2x) dx + C

To solve this integration problem, we need to use integration by parts. Integration by parts is a technique for evaluating integrals where the standard integration rules do not apply. The formula for integration by parts is ∫u dv = uv - ∫v du.

Let u = sin(e^2x) and dv = 2e^2x dx

Then, du = 2e^2x cos(e^2x) dx and v = e^2x

Using the formula for integration by parts, we get:

∫2e^2x sin(e^2x) dx = e^2x sin(e^2x) - ∫e^2x * 2e^2x cos(e^2x) dx

= e^2x sin(e^2x) - 2∫e^4x cos(e^2x) dx

Now, we need to use integration by parts again. Let u = cos(e^2x) and dv = 2e^4x dx

Then, du = -2e^2x sin(e^2x) dx and v = (2/5)e^5x

Using the formula for integration by parts, we get:

∫2e^4x cos(e^2x) dx = (2/5)e^5x cos(e^2x) - (2/5)∫(2/5)e^5x * -2e^2x sin(e^2x) dx

= (2/5)e^5x cos(e^2x) + (4/25)∫e^7x sin(e^2x) dx

Now, we can substitute this back into the original equation:

y = e^2x sin(e^2x) - 2[(2/5)e^5x cos(e^2x) + (4/25)∫e^7x sin(e^2x) dx] + C

Unfortunately, the integral ∫e^7x sin(e^2x) dx does not have a simple solution, so we cannot simplify this further. However, we have found the most simplified form of the integral in terms of another integral. The final answer is:

y = e^2x sin(e^2x) - (4/5)e^5x cos(e^2x) - (8/25)∫e^7x sin(e^2x) dx + C

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Okay, here we have this:

Considering that a function is one-to-one if there are no two elements in the domain of f they correspond to the same element in the range of f.

According with this we obtain that the correct answer is one-to-one function.

Answer:

A

Step-by-step explanation:

is the function.

Am % sure

The line passes through the point (4, 3)

The line has a slope of m=-1/3

The equation of the line can be written in the form

Since the slope is -1/3

Then the equation becomes

Since the line passes through the point (4, 3)

Substitute x = 4, y= 3 into the equation

Simplify the equation and solve for c

Hence, the equation becomes

Using an online graphing calculator.

The graph of the line is shown

Answer:

1) Actual cost was $5,762.50

2) Joe's birthday is on January 1st.

Step-by-step explanation:

1) To find this, since we know they were wrong by an identical amount and one was over and the other was under, we can average the cost to find the difference between the amounts. Then we can add that difference to the lower (or subtract it from the higher) amount:

6950 - 4575 = 2375

2375 / 2 = 1187.50

4575 + 1187.50 = $5,762.50

2) Joe could turn 21 on January 1st, but was 20 on December 31st. Next year Joe would turn 22 on January 1st.

I hope this helps!

-TheBusinessMan

The probability that no two adjacent people will stand is 47/256. This is a problem that represents a combination.

A combination is a grouping of items where order does not matter. The formula of combination is

\(_{n}C_{r} = \frac{n!} {r! (n-r)!}\)

Where

Given the case eight people sit around a circular table, flip coins, and those who flip heads will stand while those who flip tails will remain seated.

What is the probability that no two adjacent people will stand?

First, we count the total standing arrangements. They will be 2⁸ = 256 arrangements. n(S) = 256.

The number of arrangements according to the number of people standing.

Case 1: 0 people standing = 1 arrangement.

Case 2: 1 people standing = \(_{8}C_{1}\) = \(\frac{8!} {1! 7!}\) = 8 arrangements.

Case3: 2 people standing = \(_{8}C_{2}\) = \(\frac{8!} {2! 6!}\) = \(\frac{7 \times 8} {2}\) = 28 arrangements, but no two people are next to each other. There are 8 arrangements that two people in this case are standing next to each other. So, it will be 28 - 8 = 20 arrangements.

Case 4: 3 people standing = \(_{8}C_{3}\) = \(\frac{8!} {3! 5!}\) = \(\frac{6 \times 7 \times 8} {6}\) = 56 arrangements. In this case, three people standing are next to each other = \(_{8}C_{1}\) = 8 arrangements. Two people standing are next to each other and the third person is not = \(_{8}C_{1} \times _{4}C_{1}\) = 8 × 4 = 32. So, it will be 56 - 8 - 32 = 16 arrangements.

Case 5: 4 people standing but no two adjacent people = 2 arrangements.

The number of arrangements that no two adjacent people will stand.

n(A) = 1 + 8 + 20 + 16 + 2 = 47

The probability that no two adjacent people will stand is

P(A) = n(A)/n(S)

P(A) = 47/256

Hence, the probability that no two adjacent people will stand is 47/256.

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Answer:

Step-by-step explanation:

2

The mean-square end-to-end distance for the fractal line is ⟨R2⟩ = b².L^(1-D).

The mean-square end-to-end distance for the fractal line is as follows.⟨R2⟩ = ⟨(R(u)- R(v))^2⟩ for u = 0 and v = L where L is the length of the line.⟨R2⟩ = b²/L^2.D.L = b².L^(1-D).

Thus, the mean-square end-to-end distance for the fractal line is ⟨R2⟩ = b².L^(1-D).

The radius of gyration Rg is defined as follows.

Rg² = (1/N)∑_(i=1)^N▒〖(R(i)-R(mean))〗²where N is the number of monomers in the fractal line and R(i) is the position vector of the ith monomer.

R(mean) is the mean position vector of all monomers.

Since the fractal dimension is D, the number of monomers varies with the length of the line as follows.N ~ L^(D).

Therefore, the radius of gyration for the fractal line is Rg² = (1/L^D)∫_0^L▒〖(b/v^(1-D))^2 v dv〗 = b²/L^2.D(1-D). Thus, Rg² = b².L^(2-D).

The ratio R²/Rg² is given by R²/Rg² = L^(D-2).

When D = 1, R²/Rg² = 1/L. When D = 1.7, R²/Rg² = 1/L^0.7. When D = 2, R²/Rg² = 1/L.

This provides information on mean-square end-to-end distance and radius of gyration for fractal line with a given fractal dimension.

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Answer:

Row 1:

- Slope = 4

- y-intercept = -2

Row 2:

- Slope = 2

- Y-intercept = 10

Row 3:

- Equation: y = (3/4)x + 2

Row 4:

- Equation: y = 3x - 2

Hope this helps!

The range of h include the following: {-4, -3, 0, 5}.

In Mathematics and Geometry, a range is the set of all real numbers that connects with the elements of a domain.

Based on the information provided about the quadratic function, the range can be determined as follows:

h(x) = x² + 2x - 3

h(x) = -1² + 2(-1) - 3

h(x) = -4

h(x) = x² + 2x - 3

h(x) = 0² + 2(0) - 3

h(x) = -3

h(x) = x² + 2x - 3

h(x) = 1² + 2(1) - 3

h(x) = 0

h(x) = x² + 2x - 3

h(x) = 2² + 2(2) - 3

h(x) = 5

Therefore, the range can be rewritten as {-4, -3, 0, 5}.

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Step-by-step explanation:

Simple

Total no of marbles = 6 + 4 + 8 = 18

Probability of red marble = 6 / 18 = 1/ 3

Answer:

the answer is 0.276

Step-by-step explanation:

They will move the point 3 places to the left

To find the measure of the third angle, we have to use the interior angles theorem, which states that all three angles must sum 180°.

Let's solve

Answer:

I think the sun is not showing

Answer:

about 5 days :) so answer is B

Step-by-step explanation:

The firefighters' formula for nozzle discharge (L) in liters per minute can be derived from the formula for the quantity of water (Q) in cubic meters per second.

The formula for the quantity of water (Q) in cubic meters per second is given by:

Q=A×V

where A is the cross-sectional area of the pipe or nozzle and V is the velocity of the water.

To convert the quantity of water from cubic meters per second to liters per minute, we need to consider that 1 cubic meter is equal to 1000 liters, and 1 minute is equal to 60 seconds.

First, we can express the quantity of water (Q) in liters per second:

\(Qx_{litres/second} = Q_{cubic metres/second} * 1000\)

Then, we can convert the quantity of water from liters per second to liters per minute:

\(Qx_{litres/secminuteond} = Q_{litres/second} * 1000\)

By substituting the value of Q from the original formula, we get:

L=A×V×1000×60

This is the firefighters' formula for nozzle discharge (L) in liters per minute. It takes into account the cross-sectional area of the nozzle and the velocity of the water, allowing firefighters to estimate the discharge rate in liters per minute for effective firefighting operations.

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Answer:

y = -2/5x + 9

Step-by-step explanation:

The slope will always be before the x. And intercept will always go after the slope. If your intercept is negative, remember to write it as x-9 rather than x+9.

And you'll always want to add the y = at the beginning

The measure of angle B is found by subtracting the sum of angles A and C from 180 degrees, which is 70 degrees, as the sum of angles in any triangle is always 180 degrees.

In any triangle, the sum of the angles is always 180 degrees. In the given figure, we are given that angle A has a measure of 30 degrees and angle C has a measure of 80 degrees.

To find the measure of angle B, we can use the fact that the sum of the angles in a triangle is 180 degrees. Therefore, we can write an equation as follows:

Angle A + Angle B + Angle C = 180 degrees

Substituting the given values for angles A and C, we get:

30 degrees + Angle B + 80 degrees = 180 degrees

Combining like terms, we get:

Angle B + 110 degrees = 180 degrees

Subtracting 110 degrees from both sides, we get:

Angle B = 70 degrees

Therefore, angle B has a measure of 70 degrees.

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Answer:

"Correct"

Triangles: Have three (3) sides

Quadriliaterals: QUAD being the key word means four (4)

"Incorrect"

Pentagons: Have five (5) sides

Hexagons: Have six (6) sides; key word being HEX

Heptagons: 7 sides (7)

Step-by-step explanation:

Answer:

5 because 20 percent in a fraction is 1/5 so you would just divide 25 by 5. Or you could do 25 times .2 and your answer is still 5.

Step-by-step explanation:

20% of 25 is 5

25 Percentages

1% = 0.25

5% = 1.25

10% = 2.5

15% = 3.75

20% = 5

Answer:

-27

Step-by-step explanation:

rational number, in arithmetic, a number that can be represented as the quotient p/q of two integers such that q ≠ 0. In addition to all the fractions, the set of rational numbers includes all the integers, each of which can be written as a quotient with the integer as the numerator and 1 as the denominator.

Answer:

y = 3x + 5

Step-by-step explanation:

Parallel ⇒ Same gradient

→ Rewrite with the same gradient but different constant

y = 3x + c

→ Substitute in the new coordinates

2= -3 + c

→ Solve for c

c = 5

→ Rewrite full line equation

y = 3x + 5

Answer:

17m

Step-by-step explanation:

a^2+b^2=c^2

there's a character limit so hiii

Answer:

320

Step-by-step explanation:

800 = 10

x = 4

800 x 4 = 10 x

3200= 10x

x = 320

Answer:

1,970

Step-by-step explanation:

The amount earning Elisa Harrington for July through October were 2,087 1,912 1,876 2,005

The formula for Average amount can be calculated as:.

Sum of Amount/Number of terms

Number of terms = 4

Hence:.Average Amount =

2,087 + 1,912 + 1,876 + 2,005/4

= 7,880/4

= 1,970

Therefore, the average amount Elisa was earning was 1,970

The roots of the given equation is real and equal.

Given , 5\(x^{2} \\\) - 10x+ k=0

The quadratic equation is b² - 4ac = 0

Here, a= 5, b= -10, c= k

substitute in b² - 4ac = 0

(-10)² - 4 * 5* k =0

100 - 20k =0 , let this be equation (1)

100 = 20k

k = \(\frac{100}{20}\)

k = 5.

now, substitute  k= 5 in equation (1)

100 -20k = 0

100 - 20*5 = 0

100 - 100 = 0

Therefore, the given equation is real and equal .

The correct question is 5x² - 10x + k =0

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Answer:

Step-by-step explanation:

800-160=640

640/800=64/80

64/80=16/20

16/20=4/5

Answer=4/5

The fraction of his original money does he have left = 4/5 .

What is a fraction in math?

A boy has = 800 and spends = 160

800-160=640

640/800=64/80

64/80=16/20

16/20=4/5

Therefore, his original money left =4/5

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Answer: 720

Step-by-step explanation:

i think