7. M is between L and N. LN=365 & ML=73. What is the value of MN?

I would compute sqrt(1 + 160pi^2) first to get approximately 39.75093337

Add this to 1 and we have 40.75093337

Then divide over 2pi to get a final approximate result of 6.48571248

So x = 6.48571248 is one approximate solution

In short, I computed [tex]\frac{1+\sqrt{1+160\pi^2}}{2\pi}[/tex] only focusing on the plus for now.

----------------------

If you were to compute [tex]\frac{1-\sqrt{1+160\pi^2}}{2\pi}[/tex] you should get roughly -6.167402596 as your other solution. Each solution can then be plugged into the original equation to check if you get 0 or not. You likely won't land exactly on 0 but you'll get close enough.

Answer:

x = 6.49

Step-by-step explanation:

1st is to calculate [tex]\sqrt{1 + 160 pi^2}[/tex] = 39.75 then add 1 = 40.75

2nd divide it by 2pi = 40.75/(2pi) = 6.49

therefore your x = 6.49

the equation would look like

   1 ± [tex]\sqrt{1 + 160 pi^2}[/tex]            1  ±  39.75

= --------------------------  =  ---------------- = 6.49

           2*pi                        6.28

Answer:

x = [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Given

f(x) = [tex]\frac{x-4}{2x-3}[/tex]

The denominator cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non zero for this value then it is a vertical asymptote.

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]

Thus x = [tex]\frac{3}{2}[/tex] is the vertical asymptote

Answer:

x=20

Step-by-step explanation:

Substitute 15 for y

it will be 2/3 multiplied by 15 then you get 10

you add 10 to 30 getting 40

then you divide 40 by 1/2 getting 20

:)))

Answer:

x = 80

Step-by-step explanation:

First, plug the 15 into the y.

[tex]1/2x - 2/3(15) = 30[/tex]

Use PEMDAS to solve the parentheses, 2/3 of 15 is 10.

[tex]1/2x - 10 = 30[/tex]

Add 10 to both sides of the equation.

[tex]1/2x = 40[/tex]

Divide each side by 1/2 (or multiply by it's reciprocal, which is 2)

That will get you your answer of x = 80

Answer:

x = 5.75

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask ÷)

Answer:

The first thing you need to do here is create an equation.

I've created it for you: 6x = 8x - 4

If you want to solve it, you have to move the like terms to one side so...

4 = 2x

and x = 2

Hope this helped!

Answer:

The correct answer is C on Edge.

Step-by-step explanation:

Edge 2021.

Answer:

w = 6

Step-by-step explanation:

5w-26 = - 4 (w - 7)   multiply -4 through

5w - 26 = - 4w + 28  add 4w to each side to cancel it out on the right

5w + 4w - 26 = 28  

9w - 26 = 28  Now add 26 to each side

9w - 26 + 26 = 28 + 26

9w = 54   Now divide each side by 9

(9w)/9 = 54/9

w = 6

Answer:

×=7, pq=27, qr=20.

Step-by-step explanation:

(4x-1)+(3x-1)=47 therefore 7x-2=47 or 7x=49 and x=7, pq=4x-1=27, qr=3x-1=20.

Answer:

[tex](x,y) = (\frac{28}{5},\frac{2}{5})[/tex]

Step-by-step explanation:

Given

A = (4,-2)

B = (12,-10)

Ration = 1/4

Required

Determine the coordinate of point at 1 million buys

The formula to use is as follows:

[tex](x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]

Where m and n are the ratios

i.e.

[tex]\frac{m}{n} = \frac{1}{4}[/tex]

Convert to ratios

[tex]m:n = 1:4[/tex]

Considering A(4,-2) and B(12,10); we have

[tex](x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]

[tex](x,y) = (\frac{1 * 12 + 4 * 4}{4+1},\frac{1*10 + 4*-2}{4+1})[/tex]

[tex](x,y) = (\frac{12 + 16}{5},\frac{10 -8}{5})[/tex]

[tex](x,y) = (\frac{28}{5},\frac{2}{5})[/tex]

Hence, the coordinate of the point is [tex](x,y) = (\frac{28}{5},\frac{2}{5})[/tex]

Answer:

b= 322.8

Step-by-step explanation:

10.50a + 3.75b = 2071.50

10.50 (82) + 3.75b = 2071.50

861 + 3.75b = 2071.50

-861                -861

3.75b = 1210.5

/3.75     /3.75

b = 322.8

Answer:

1/4 is the answer ........

Answer:

The highest point reached by the firework is approximately 30.6 meters

Step-by-step explanation:

The upward velocity of the fireworks is given as 24.5 m/s

The equation of projectile motion for an object fired vertically upwards can be written as follows;

v² = u² - 2·g·s

Where;

v = The final velocity of the motion = 0 m/s at maximum height

u = The final velocity of the motion =  24.5 m/s

g = Acceleration due to gravity = 9.81 m/s²

s = The height reached = (The highest point reached by the firework)

By substituting the values, we have;

(0 m/s)² = (24.5 m/s)² - 2 × 9.81 m/s² × s

Which gives;

2 × 9.81 m/s² × s = (24.5 m/s)² = 600.25 m²/s²

19.62 m/s² × s = 600.25 m²/s²

s = 600.25 m²/s²/(19.62 m/s²) = 30.594 m ≈ 30.6 meters

The highest point reached by the firework is approximately 30.6 meters

Answer:

x = -1

Step-by-step explanation:

Step 1: Write out equation

-3x + 5 = 2x + 10

Step 2: Add 3x on both sides

5 = 5x + 10

Step 3: Subtract 10 on both sides

-5 = 5x

Step 4: Divide both sides by 5

-1 = x

Step 6: Rewrite

x = -1

Answer:

x = -1

Step-by-step explanation:

you want to move all the numbers with an x to one side and the ones without to the other so you get.

-5x=5

then you divide by 5 on both sides and get x = -1

Hi :)

If a cell phone plan costs 30 per month and charges 15 cent per text message and 200 text messages were sent,

The base charge is 30 dollars, multiply 0.15 by 200

30 + (0.15 * 200)

30 + (30)

For this month,

$60

Hope this helps,

Jeron

P.S (brainliest? only if you think i really helped you)

Step-by-step explanation:

3x+5>-10

3x-5+5>-10-5

3x>-15

x>-15/3

x>-5

Hi there! Hopefully this helps!

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[tex]4.5(5.6 \times 2) + 1.2[/tex]

Multiply 4.5 and 5.6 to get 25.2.

[tex]25.2 \times 2 + 1.2 = 51.6[/tex]

Multiply 25.2 and 2 to get 50.4

[tex]50.4 + 1.2 = 51.6[/tex]

[tex]\boxed{51.6}[/tex]

To solve this, we will first use order of operations to multiply the terms inside the parentheses, multiply the product by the term outside of the parentheses, and then add from left to right.

5.6 * 2 = 11.2

11.2 * 4.5 = 50.4

50.4 + 1.2 = 51.6

Therefore, 51.6 is the solution.

Answer:

Derek will buy 73 1/3 pounds of lunch meat to make 330 sandwiches

Step-by-step explanation:

People at the picnic = 300

For every 10 people 11 sandwiches will be eaten

Total sandwiches eaten by 300 people = 300/10 × 11

= 30*11

= 330 sandwiches

330 sandwiches will be eaten at the picnic

20 pounds of meat will make 90 sandwiches.

90/20 = 330/x

Cross product

90x = 330*20

90x = 6,600

Divide both sides by 90

x= 73 1/3

Derek will buy 73 1/3 pounds of lunch meat to make 330 sandwiches

73 1/3 pounds 330 sandwiches

Heres a Simple Answer:

1. The one on the left follows the Vertical Line test, while the one on the right doesn't

2. A function is either y = mx+b, or a Nonlinear function. The one on the right is a Parabolic Function becuase it has the x^2 on it. The right one is y^2, which is not a function.

(Not very good, but I gtg so I rushed.)

Answer:

b1 = A/h - b2

Step-by-step explanation:

Given equation:

Solving for b1:

Answer:

8

Step-by-step explanation:

10 + 8 = 18

18 x 2 = 36

Answer:

So we know the sum of two numbers, let them be x and y, is equal to 36:

x + y = 36

And on of them, for example, y, is equal to 10:

x + 10 = 36

Now, the only thing we need to do is solving the equation to find x:

x + 10 = 36

We pass the 10 substracting to the right:

x = 36 - 10

And now, we substract:

x = 26

Now we know one number is 10 and the other is 26, so we can verify we have done all correctly

26 + 10 = 36 (TRUE)

Now we know we have done the exercise well.

Answer: 214 - 5d

Which of the following real-world scenarios could be represented by the algebraic expression 7.65 - 2p? Select all that apply.

Answers:

1) You buy 2 equally priced party favors, spending from your $7.65 gift card.

4) you give Tim twice the amount of face paint he had from your supply of 7.65 ounces.

You decide to order pizzas for your party. A large pizza is cut into 12 slices. If each pizza is shared evenly among G guests, which expression represents the number of slices that each guest will eat?

Answer: 12/g

(these are the rest of the answers for the rest of the 7 slides of "Writing expression" assignment on e2020

4th: $25 dollars is the constant team so the cost for h hours is 15h and the correct expression is 15h+25 and 15(h+25) would be interpreted as adding 25 hours to the number of hours rented, and then multiplying by 15.

5th: m + 2m - s

6th: No it's not true. Each table began with x/8 balloons. If two pop then you will not be able to distribute it equally among 8 tables. There are x/8 - 2 balloons left. Not all tables will be equal.

7th: n - (1/4)n - 15

8th: 12n/r

9th: (x+3)/5

10th: (3r)/2 is what the second DJ had. 3 times as many songs as 3r and half as many is translated as division to 2 so half as many is translated as multiplication by 1/2. So therefore, the second DJ had (3r)/2 songs.

Step-by-step explanation:

Answer:

214-5d

Step-by-step explanation:

Answer:

Pretty sure it's 10

Answer:

the total length of his drive is 42

Answer: 1:10,000

Step-by-step explanation:

given data:

distance of the nearest star system = 100,000,000

distance to size ration of the sun earth system = 10,000

therefore;

100,000,000 / 10,000

= 10,000

The order of magnitude of the distance to size ratio of the Sun- Nearest Star system is about 1:10,000 times that of the Sun-Earth system.

Answer:

f(x)=-3x+4

Step-by-step explanation:

just took the test

Answer: The answer is: it is a fifth degree binomial or 'quintic binomial'.

Step-by-step explanation:

Is the expression 3x^2-5x^3 a polynomial?

So, we have to know what polynomial means. A polynomial is... "an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables."

So let's take a look at this expression.

Does it consist of variables and coefficients? YES

Does it only involve operations of addition, subtraction, multiplication, and non-negative integer exponents of variables? YES

Therefore, it is a polynomial.

Now, we have to figure out what degree this polynomial is.

The degree of the polynomial is the degree of the monomial with the largest degree.

So the largest degree would be the 3rd degree, because it is, of course, the largest out of the two powers listed.

And also, keep in mind that this is a binomial (made up of two monomials).

Therefore, it is a fifth degree binomial or 'quintic binomial'.

Answer:

He used [tex]1\frac{7}{8}\ lb[/tex]

Step-by-step explanation:

Given

[tex]Total = 3\ lb[/tex]

[tex]Fraction = \frac{5}{8}[/tex] to make sauce

Required

Determine the number of pounds used

To solve this, we simply multiply the fraction of tomato used by the total;

[tex]Used = Fraction * Total[/tex]

[tex]Used = \frac{5}{8} * 3\ lb[/tex]

[tex]Used = \frac{5 * 3}{8}\ lb[/tex]

[tex]Used = \frac{15}{8}\ lb[/tex]

Convert to mixed number

[tex]Used = 1\frac{7}{8}\ lb[/tex]

Hence,

He used [tex]1\frac{7}{8}\ lb[/tex] out of the 3lb he bought

Answer:

Three collinear points

Step-by-step explanation:

AC's length has been given to us as 15 units and AB is 10 units so to find BC you will need to subtract AC from AB

so let's subtract

15-10

= 5 units

So , BC is 5 units !

option C!!!

Answer:

Step-by-step explanation:

      10            BC

A-----------B--------------C

|<-----------15------------>|

10 + BC = 15

BC = 15 - 10