What is the slope and y-intercept of the equation 3(y-2) + 6(x+1)-2 = 02

1) In this problem, we can list all the possible combinations considering that:

Note that this is a sample of The Counting Principle. We can list these possible combinations as a set:

Thus, these are the possible combinations

Answer:

x+100

Step-by-step explanation:

x^2-10,000/x-100

x^2-10000 is a difference in squares and can be factored.

x^2-10000 = (x+100)(×-100).

(x+100)(x-100)/(x-100)

(x-100) cancel each other.

x+100 remains.

The length of major arc PQ is 35π units.

What is major arc?

In geometry, an arc is a portion of the circumference of a circle. A major arc is an arc that spans more than 180 degrees of the circle. In other words, a major arc is an arc that is greater than a semicircle (which spans exactly 180 degrees).

we know that,

length of arc = s = 2 π r (θ/360°)

where, r is the radius and θ is the angle of arc.

we have, r = 30

               θ = 210

so, length of major arc PQ :

   =  2 π r (θ/360°)

   = 2 π × 30 × (210/360)

   = 60  π  × 7/12

   = 35π units.

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Answer:

Step-by-step explanation:

If you round it to the nearest whole number, then 17.526  becomes 18 because if the first digit after the decimal(in this case,5) is 5 or greater you round to the next whole number.

If you round it to the nearest tenth, it would result in 17.5, because if the second digit after the decimal (in this case, 2) is 5 or greater you round to the next tenth of decimal.

Hope this helps!

Answer:

Step-by-step explanation:

It can be rounded down to 17.5 if rounding to 1 decimal place. If you are rounding to the nearest whole number, you would round to 18.

Hope this helps :)

The amount of the element, Francium, that will remain after 2 hours is 31.25 grams.

To determine how much francium will be left after 2 hours, we need to calculate the number of half-lives that occur within that time period.

Given that the half-life of francium is 22 minutes, we can calculate the number of half-lives in 2 hours (120 minutes):

Number of half-lives = (Total time elapsed) / (Half-life)

Number of half-lives = 120 minutes / 22 minutes ≈ 5.4545

Since we can't have a fraction of a half-life, we take the integer part, which is 5.

Each half-life represents a halving of the amount of francium. So, after 5 half-lives, the remaining amount of francium can be calculated using the formula:

Remaining amount = Initial amount * (1/2)^(Number of half-lives)

Given that the initial amount is 1000 grams, we can calculate the remaining amount after 2 hours:

Remaining amount = 1000 grams * \((1/2)^5\)

Remaining amount ≈ 1000 grams * 0.03125

Remaining amount ≈ 31.25 grams

Therefore, after 2 hours, approximately 31.25 grams of francium will be left.

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Answer:

600 meters

Step-by-step explanation:

Case 1 : Speed of 1 m/s

Case 2 : Speed of 1.5 m/s

As distance in both cases is the same, equate the values of d from both equations.

Now, put the value of t in Equation 1 to find d.

We are given the following equation:

We are asked to rewrite this equation in slope-intercept mode. To do that, let's remember that the general form of the slope-intercept mode is the following:

Where "m" is the slope and "y" the intercept. This means that we have to solve for "y" in our equation. Let's beging by changing the order of the equation, like this:

Now we will divide by -5 on both sides of the equation

Simplifying we get:

and in that way, we get the slope-intercept form of the given equation.

In general, there were more people per table on Tuesday with 8 number of people per table.

In Mathematics, a dot plot can be defined as a type of line plot that is typically used for the graphical representation of a data set above a number line, especially through the use of dots.

By critically observing the given dot plots which is used to illustrate the numbers of people per table at a bingo hall on two nights, we can reasonably infer and logically deduce that there were more people per table on Tuesday than on Wednesday.

In conclusion, there were 8 number of people per table on Tuesday while there were 5 number of people per table on Wednesday.

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Answer:

It takes the neighor's hose 3 hours to fill the pool and it takes Sully's hose 6 hours to fill the pool if each filled alone.

Step-by-step explanation:

This is a work problem, and the way these are done is to figure the amount that each can do based on how much can get done in a single hour.  

First thing, in order to have only one variable, we have to put one hose in terms of the other hose.  

We know that it takes the neighbor's hose a certain amount of time (there's our unknown) to fill the pool and that it takes Sully's hose that same time plus 3 hours.

neighbor's hose can get the job done in x time

Sully's hose can get the job done in x + 3 time

Now we will figure out how much each can do in a single hour.

If the neighbor's hose takes x hours to fill the pool, then it can get

of the pool filled in 1 hour.

If Sully's hose takes x + 3 hours to fill the pool, then it can get

of the pool filled in 1 hour.

The sum of these takes 2 hours total and 1/2 of the pool gets filled in 1 hour.

Our equation then is:

This equation states in words:

"the amount of the pool that the neighbor's hose can fill in an hour plus the amount of the pool that Sully's hose can fill in an hour will fill half the pool".

Solving for x will give us that time.

Begin to solve this by finding the LCM of those denominators and getting rid of the fractions by reducing.  The LCM will be 2x(x + 3).  Multiplying each term by that LCD looks like this:

In the first term the x's cancel out, in the second term the (x + 3) cancels out, and in the last term the 2's cancel out leaving us with:

and simplifying gives us:

This is a quadratic that will have to be factored to solve for those values of x.  Combine like terms and get everything on one side to get:

Factor this however you find easiest to get the values:

x = 3 hours and x = -2 hours

We all know that the 2 things in math that will never EVER be negative are times and distances/measures, so we can disregard the -2 and say that

x = 3 hours.  

To answer our question, then;

It takes the neighbor's hose 3 hours to fill the pool; it takes Sully's hose 3+3 hours = 6 hours to fill the pool.

Answer:

579>544

Step-by-step explanation:

579 is greater than 544

Answer:

544<579

Step-by-step explanation:

544 is less than 579. This is because 544 is not more than 579. 579 is the bigger number . < means less than .> means greater than .= means equal to

i dont know how this is even considered college math lol.

Answer:

Step-by-step explanation:

I first added 13 and 8 to get 21

After that I do 7.5*21 to get 157.5

Then I multiplied 2.5 by 8 to get 20.  But it is a triangle so I have to divide by 2 to get 10

I add 10+10+157.5=20+157.5=177.5

177.5 units²

Answer:

I need 1 Brainliest before I can become Virtuoso

Step-by-step explanation:

The general solution to the given differential equation is:

y = (x/12) - (1/288)

How to solve the Differential Equation?

We want to solve the differential equation given as: y' - 24xy = -2x

The integrating factor is given by the exponential of the integral of the coefficient of y, which in this case is -24x. Therefore, the integrating factor is e^(-24x).

Multiplying the entire equation by the integrating factor, we get:

e^(-24x)y' - 24xe^(-24x)y = -2xe^(-24x)

The left side of the equation is the derivative of (e^(-24x)y) with respect to x:

(d/dx)(e^(-24x)y) = -2xe^(-24x)

Integrating both sides with respect to x, we have:

e^(-24x)y = ∫(-2xe^(-24x))dx

Integrating the right side, we get:

e^(-24x)y = -∫(2xe^(-24x))dx

To evaluate the integral on the right side, we can use integration by parts. Let's differentiate -2x and integrate e^(-24x):

u = -2x (differential of u = -2dx)

dv = e^(-24x) (integral of dv = -1/24e^(-24x)dx)

Using the integration by parts formula:

∫uv dx = uv - ∫v du

We can compute the integral as follows:

-∫(2xe^(-24x))dx = -[(-2x)(-1/24e^(-24x)) - ∫(-1/24e^(-24x))(-2dx)]

= -[x/12e^(-24x) + 1/12∫e^(-24x)dx]

= -[x/12e^(-24x) + 1/12(-1/24)e^(-24x)]

= -[x/12e^(-24x) - 1/(12*24)e^(-24x)]

= -[x/12e^(-24x) - 1/(288e^(-24x))]

= -[x/12 - 1/288]e^(-24x)

Substituting this back into the previous equation, we have:

e^(-24x)y = -[-(x/12 - 1/288)e^(-24x)]

Simplifying further:

e^(-24x)y = (x/12 - 1/288)e^(-24x)

Canceling out e^(-24x) on both sides:

y = x/12 - 1/288

Therefore, the general solution to the given differential equation is:

y = x/12 - 1/288

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According to the statement, the Ship must move at an average pace of 150 meters per hour.

The variable under examination is lessened when the gradient is "downhill" (negative). When used as a gauge of how well things are doing, "downhill" denotes a downward trend. Yet, if this indicates trouble or some other unpleasant quality, the situation is improving.

The chess player Carissa walks very, very slowly. She actually moves at speeds of 100 meters per hr upward, 150 meters per hr on flat terrain, and 200 meters every hour on downhill terrain.

Here,

Carissa traverses Boston on foot from a coffeehouse to a boba store before returning over the same path.

Total distance walked = 2 [200 + 100 + 150] = 900 meter

Total time = 2 [1 + 1 + 1] = 6 hour

Average speed is calculated as distance divided by time (900 / 6 = 150 m/s),

As a result, the needed Carissa average speed is 150 meters per hr.

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Answer:

x=28 cm

Step-by-step explanation:

Ratio of length of bigger sides to smaller sides=20:10=2:1.

\(\frac{x}{14}=\frac{2}{1}\)

\(x=28\)

Answer:

the answer is 9

Step-by-step explanation:

If \(f,g\) are inverses of one another, then

\(f\circ g(x) = g\circ f(x) = x\)

Given \(f(x)=x^2-1\) and \(g(x)=\sqrt{x-8}\), then

\(f\circ g (x) = f(g(x)) = f(\sqrt{x-8}) = \left(\sqrt{x-8}\right)^2 - 1 = \boxed{x - 9} \neq x\)

so right away we know \(f\) and \(g\) are not inverses.

In the other direction, we come to the same conclusion.

\(g\circ f(x) = g(f(x)) = g(x^2 - 1) = \sqrt{(x^2-1)-9} = \boxed{\sqrt{x^2 - 9}} \neq x\)

Answer:

12

Step-by-step explanation:

12>6

12 is factor of 36    36/12=3

12 is factor of 48    48/12=4

we can use the formula of the sphere

and replace the value of the new radious

the volume of the new ballon is 20579 cm3

The Relative Maximum will be (7, 50) and minimum is (12, 0).

We have the graph showing average low temperatures in international falls minnesota.

From the graph the maximum y coordinate is 50.

So, the Relative Maximum will be (7, 50).

and, the minimum y coordinate is 0.

So, the Relative minimum is (12, 0)

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Answer:

x = 28°

Step-by-step explanation:

Angle sum property of triangle:

             Sum of all the three angles of the triangle is 180°.

   50 + 2x + 3x - 10 = 180°

    2x + 3x + 50 - 10 = 180°

Combine like terms,

                   5x + 40 = 180°

Subtract 40 from both sides,

                           5x = 180 - 40

                           5x = 140°

Divide both sides by 5,

                             x = 140 ÷ 5

                            \(\sf \boxed{\bf x = 28^\circ}\)

6a. The equation for the graph is y = 2√(x + 5).

6b. The equation for the graph is y = -|x + 1| + 5

In Mathematics and Geometry, the standard form of a square root function can be modeled as follows;

y = a√(x - h) + k

Part 6a.

Next, we would determine value of a as follows;

4 = a√(-1 + 5) + 0

4 = a√4

4 = 2a

a = 2

Therefore, the required square root function is given by;

y = 2√(x + 5)

Part 6b.

Since the line representing the absolute value function has a y-intercept at (0, 4) and vertex at (-1, 5), the absolute value equation for the graph is given by:

y = a|x - h| + k

y = -|x + 1| + 5

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Answer:

Choose any two numbers from 82 to 99.

Step-by-step explanation:

The square of 9 is 81, since 9 × 9 = 81.

The square of 10 is 100, since 10 × 10 = 100.

Choose any two numbers from 82 to 99; their square roots must, therefore, fall between 9 and 10.

Answer: A one solution.

x=5

Step-by-step explanation: (2)(5x)+(2)(−1)=(3)(x)+(3)(11)                                   10x+−2=3x+33                                                                                                       10x−2-3x=3x+33-3x                                                                                             7x−2+2=33+2                                                                                                       7x/7=35/7                                                                                                               x=5

The range of the function is [560, ∞]

The cost of the new phone = $500

The cost of month plan = $60

The average monthly cost of the cell phone is calculated as:

\(C(t) = 500 + 60t \\\\\)

where:

t is the number of months of owing the phone

The range of the function is calculated as follows;

t ≥ 1

when t = 1

C(1) = 500 + 60(1) = $560

t can be any positive integer.

The range of the function = [560, ∞]

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Answer:

I think B. R: (60,560)

Step-by-step explanation:

Not 100% sure but tell me if im wrong

Answer:

events at A and B are independent because P(A)(B)≠P(A)

Answer:

Step-by-step explanation:

B because after having the star and the circle comes the square.

Answer:

2 & 4

Step-by-step explanation: :)

Express percentages in decimal form ( dividing by 10)

25 % = 25 / 100 = 0.25 (twice)

30% = 30/100 = 0.3 (once)

45%= 45/100= 0.45 (zero)

2*0.25 + 1*0.3 + 0*0.45 =

0.5 + 0.3 + 0 =

0.8

Expected value = 0.8

Answer:

162

Step-by-step explanation:

to find the surface area of the rectangles do base x height

5 x 10 = 50

there are 3 sides on a triangle so do 50 x 3 = 150

now we need to find the area of the triangles

the formula for the surface area would be base x height ÷ 2

3 x 4 = 12

12 ÷ 2 is 6

because there are 2 triangles you would need to multiply it by 2

6 x 2 is 12

add it all together

12 + 150 is 162