if the supply and demand functions for a commodity are given by p-q=10 and q(2p-10)=2100, what is the equilibrium price and what is the corresponding number of units supplies and demanded

Answer:

y = Ae^2xcos√3 x + Be^2xsin√3 x

Step-by-step explanation:

Given the differential equation

y''-4y' +7y =0

Let my = y' and m²y =y''

The auxiliary equation is expressed as;

m²y - 4my +7y = 0

(m²-4m+7)y =0

Divide through by y;

m²-4m+7= 0

Factorize the auxiliary equation

m = 4±√16-4(7)/2

m = 4±√-12/2

m = 4±2√3 i/2

m = 2+√3i

From the complex number a = 2(real part)

b = √3 (imaginary part)

Substitute into the general solution

y = Ae^axcosbx + Be^axsinbx

y = Ae^2xcos√3 x + Be^2xsin√3 x

By simplifying the given equation, we can see that the ratio a:b is:

8:1

We start with the equation:

(a + 3b)/5 = (a - 2b)/2

The first thing we need to isolate each variable in one side of the equation.

(a + 3b)/5 = (a - 2b)/2

2*(a + 3b) = 5*(a - 2b)

2a + 6b = 5a - 10b

6b + 10b = 5a - 2a

16b = 2a

So, 16 times b is equal to 2a

We can write this as:

b/2 = a/16

b = a/8

Then the ratio a to b is:

8:1

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Answer:

y+2=6x+2

Step-by-step explanation:

[tex]y+2=2(3x+1)\\y+2=6x+2\\y=6x+2-2\\y=6x[/tex]

Since the exponent/degree of x and y both the variables are 1 the equation is linear and y=6x represents a proportional relationship between x and y

Answer:

A

Step-by-step explanation:

f(g(3)= f(g(x=3)) = f([tex]\frac{3+1}{3-1}[/tex]) = f(4/2) = f(2) = f(x=2) = 3*2-7 = 6-7 = -1

Answer:

Step-by-step explanation:

A . It is the correct answer

Answer:

Step-by-step explanation:

3.75

Water flows through a pipe at a rate of 3.75 fluid quarts per minute.

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

Water flows through a pipe at a rate of 2 fluid ounces per second.

2 ounces = 0.0625 quarts

And 1 second = 0.0166667 minutes

So, water flows through a pipe at a rate of 0.0625 quarts per 0.0166667 minutes.

Water flows through a pipe at a rate of 3.75 fluid quarts per minute.

Therefore, the rate is  3.75 fluid quarts per minute.

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5 video games bought.

Explanation:

Step one) identify all variables.

> y = money in bank acc AFTER buying (x) video games.

Step two) y = $40

Step three) substitute

> 40 = 90 - 10x.

Step Four) solve for x

> subtract 90 both sides.

-50 = -10x

DIVIDE by -10 on both sides ( to isolated x)

This equals 5 = x

x is number of video games bought meaning >> 5 video games bought

*sings body by Megan Thee Stallion*

Answer:

77%

Step-by-step explanation:

Answer:

The slope of a line is a measure of its steepness. In math, slope is calculated as "rise over run" (change in y divided by change in x).

Answer:

1/2

Step-by-step explanation:

Answer:

Your slope is 1/2

Step-by-step explanation:

Slope is rise over run or m=rise/run rise being the Y value and X being the run value. You can count the grid on the graph provided.

rise= 1

run= 2

Answer: 14

Step-by-step explanation: bru is simple

Answer:

8+3e=8+3(2)=8+6=14. aswer is 14

hope this helps u plz give me the brainliest pplzz

Answer:

a = 8

Step-by-step explanation:

4 : 3 = a : 6

[tex]\frac{4}{3} = \frac{a}{6}[/tex]

Cross multiply

4*6 = a * 3

[tex]\frac{4*6}{3}=a[/tex]

a = 4 * 2

a = 8

Answer:

try the second one on top

Step-by-step explanation:

Answer:

hewo

Step-by-step explanation:

well you need to multiply 1/4*114 and that should give you your answer

which would be 28.5

Answer:

13 inches

Step-by-step explanation:

10 * 1/4 = 2 1/2 inches

16 * 1/4 = 4 inches

2(2 1/2) + 2(4) = 13 inches

Answer:

Its 4 feet, The other person is wrong and did not explain it the way the question says.

Step-by-step explanation:

The kite is approximately 345 feet above the ground.

The height of the kite above the ground is 287 ft

The length of the string, the height of the kite (h) above ground and the perpendicular distance from the end of the kite string to the man forms a right angled triangle.

Trigonometric shows the relationship between the lengths and angles of a right angled triangle.

Therefore using trigonometric ratios:

sin(55) = h / 350

h = 287 ft

Therefore the height of the kite above the ground is 287 ft.

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Answer:

its 9 4 = 12 27

Step-by-step explanation:

Answer:

may you show us the pic so we can help?

Step-by-step explanation:

Answer:

aaa

Step-by-step explanation:

35istohhhaaa bla bla nla

Answer: B or 3

Step-by-step explanation:

had this question on my quiz

Answer:

b

Step-by-step explanation:

edg2020

Answer:

It’s a 50% chance

Step-by-step explanation:

The probability of being dealt a red card is 1/2 or 50% if you are dealt one card from a standard 52-card deck.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

It is given that:

You are dealt one card from a standard 52-card deck.

Total number of red cards = 26

Total number of outcomes = 52

The probability of being dealt a red card = 26/52

The probability of being dealt a red card = 1/2

Or

The probability of being dealt a red card = 0.5 or 50%

Thus, the probability of being dealt a red card is 1/2 or 50% if you are dealt one card from a standard 52-card deck.

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The two statements that help to prove that if segment PR is x, then x² = 97 are:

A line segment is a piece or part of a line having two endpoints.

Here, the statements that help to prove that if segment PR is x, then x² = 97 are Segment PR • segment SR = 81 and that Segment PR • segment SR = 16.

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Answer:

1

Step-by-step explanation:

coefficient if x term is 1

Topic: coordinate geometry

If you like to venture further, do check out my insta (learntionary) where I constantly post math tips! Thanks!

The slope of the line whose equation is y - 4 = (x - 2) is,

⇒ m = 1

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Equation of line is,

⇒ y - 4 = x - 2

Now, We can simplify for slope as;

⇒ y - 4 = x - 2

⇒ y = x + 2

⇒ dy/dx = 1

⇒ m = 1

Thus, The slope of the line whose equation is y - 4 = (x - 2) is,

⇒ m = 1

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Answer:

(0,8)

Step-by-step explanation:

this is my guess because 90° would move it from axis to axis, switching the x & y numbers. i could be wrong though & my appologies if i am incorrect

Answer:

I will need to buy 22.5 pounds of turkey and pay $23.63

Step-by-step explanation:

Proportions

Each person is planned to eat 2 x 3/8 pound servings of turkey for thanksgiving dinner. This means each person will eat

[tex]2\cdot\frac{3}{4}=\frac{3}{2}[/tex]

pounds of turkey.

There are going to be 15 people at the dinner, thus the total turkey needed is:

[tex]15\cdot\frac{3}{2}=22.5~pounds[/tex]

The turkey costs $1.05 per pound, thus the total cost is

22.5*$1.05 = $23.63

I will need to buy 22.5 pounds of turkey and pay $23.63

ANSWER:i think its C

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Being organized, having a study schedule and reviewing your work are all great habits to becoming a well-rounded student and generally succeeding in a course.

Please rate 5 stars and/or say thanks if I was able to help!

Have a good day!

~Roi

Answer:

sorry for that i did not about that give a thanks and save water for feuter . jal

Answer:

C

=

C

'

−

81

2

ln

9

Step-by-step explanation:

Answer:

The last one (D)

Step-by-step explanation:

Jonathan would have to check how much he's paid off after each of the months which means he would need to subtract that from total amount of money that he's pay for the new computer