Use the number line below, where RS = 6y + 3, ST = 4y + 7, and RT = 60.​

Answer:

1. 12

2. [tex]\pi[/tex] or about 3.14

3. 4.5[tex]\pi[/tex] or about 14.13

4. 12 + 5.5[tex]\pi[/tex] or about 29.27

Step-by-step explanation:

1. The rectangle is 6 by 2

6 * 2 = 12

2. They would combine to form a circle with radius 1, so [tex]\pi * 1^2[/tex] = [tex]\pi[/tex], or if you use 3.14 for pi you get 3.14

3. The radius is 3 and it's half of a full circle, so

[tex]\pi * 3^2 / 2= 4.5\pi[/tex], or if you use 3.14 for pi you get 14.13

4. Adding all of these together, you get 12 + 5.5[tex]\pi[/tex] or if you use 3.14 for pi you get 29.27

Answer:

2x+4

Step-by-step explanation:

please give me a brainliest!!

Answer:

2x + 4

Step-by-step explanation:

2(x + 6) - 8

Distribute

2(x) = 2x

2(6) = 12

2x + 12 - 8

Subtract 12 - 8

12 - 8 = 4

So 2x + 3 is your final answer.

Answer:

(3)

Step-by-step explanation:

Dividing both sides by Pt, we get option (3).

Answer:

610.9 km

Step-by-step explanation:

For the plane that is flying at 520km/h:

520km/h * 45minutes * 1h/60minutes = 390 km

For the plane that is flying at 480km/h:

480km/h * 45minutes * 1h/60minutes= 360 km

This is a SAS triangle which means Side angle Side

the formula for this is: a^2 = b^2 + c^2 − 2bc cosA

for this problem it should be:

a^2= (390^2) +(360^2) - 2(390*360)*cos(115)

a should be approximately 610.9 km

Answer:

There will be 48 neutrons.

Step-by-step explanation:

Hope this helps and have a great day :)

There will be 48 neutrons in this atom.

The mass number of an element is the number obtained when the number of protons and neutrons in the nucleus of an atom of the element are summed together.

The addition of protons and neutrons in the nucleus of an atom is collectively known as the nucleon. Thus, the mass number of an atom can also be referred to as the nucleon of the atom.

This can be mathematically expressed as follows;

Mass number = number of protons + number of neutrons.

We are given that atom of a certain element has 37 protons, 37 electrons, and a mass number of 85.

So,

Mass number = number of protons + number of neutrons.

85 = 37 + n

n = 85 - 37

n = 48

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Answer:

y=5

Step-by-step explanation:

Any equation that's y=c (or any other constant) is a horizontal line. Imagine a parabola and a horizontal line plotted on a graph.

There are three possibilities of where the horizontal line can be:

It may not touch the parabola at all,

It may touch the parabola at one specific point (it's a tangent line)

Or it may touch the parabola at two points (it's a secant line)

The question prompt tells us that the horizontal line y=c touches the parabola at exactly one point; so for it not to touch two points it has to touch the parabola at the vertex point, right?

If we graph the parabola (or we could just look at the equation and it should be intuitive), we find out that the y-intercept is 5. In other words the point where the function reaches its maximum value (maxima) is at y=5.

For this reason, the value of c is 5 since if it was any value below that it would touch more than one point and if it was above it it wouldn't touch any point.

Here's an image so that it'll be a bit clearer hopefully:

Good luck!

Answer: P = 12x + 18

Step-by-step explanation: When you find the perimeter, you do length + length + width +width. Saying 2L + 2W = P is the same thing.

It will take 20 hours to fill the 920-gallon water in the pool if Daniel began filling an empty swimming pool at 8:30 a.M. After 5 hours, the pool contained 230 gallons of water.

Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

After 5 hours the pool filled with 230 gallons

Let's suppose that after x hours the pool will fill with 920 gallons

After x hours the pool filled with 920 gallons.

As the water input contained at a constant rate

So the value of x can be evaluated:

[tex]\rm x = \frac{920\times5}{230}[/tex]

x = 20 hours

Thus, it will take 20 hours to fill the 920-gallon water in the pool if Daniel began filling an empty swimming pool at 8:30 a.M. After 5 hours, the pool contained 230 gallons of water.

Learn more about the fraction here:

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9514 1404 393

Answer:

   (c)  y = 1.87x^2 -5.16x +10.54

Step-by-step explanation:

The attached graphing calculator output shows the best choice is the third one.

__

Additional comment

The best fit is offered by a function of degree about 3.7. Even a cubic offers much better fit than this quadratic.

Answer:

yˆ=1.87x^2−5.16x+10.54 is correct for all future users

Step-by-step explanation:

Answer:

When a linear association is shown by a scatter plot, we can use a line to model the relationship between the variables. A trend line is a straight line that comes closest to the points on a scatter plot. We can use the trend line to make predictions.

Step-by-step explanation:

Answer:

A trend line can be used to make predictions because it shows the direction of interest. If the trend was how many people used yt in 2020, the trend line would be positive and it shows that more people are interested in yt. This would make the people who work at yt want to make it better, and people at other companies want to try and do something like yt, or something better.

Answer:

$34.65

Step-by-step explanation:

Answer:

Triangle CED is congruent to Triangle CAB

Step-by-step explanation:

Took the test

Answer:

Graph 1, 2, 5, 6 are not functions.

Graph 3, 4 are functions

Step-by-step explanation:

For every input there can only be one output to be a function.

Of the given graphs, only graph[3] and graph[4] represent functions.

A function is a relation between a independent variable and a dependent variable such that the value of dependent variable depends upon the independent one. It is denoted by f(x).

Given are the graphs plotted for different expressions.

Now, for a given expression to be a function, it should have a single unique value of variable [y] in coordination with that of [x]. Of all the graphs given, only the continuous graph[3] and discrete graph[4] have unique or only one unique value of [y] for a value of [x]. So, only graph[3] and graph[4] represent functions.

Therefore, of the given graphs, only graph[3] and graph[4] represent functions.

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Answer:

10

Step-by-step explanation:

Answer:

Step-by-step explanation:

for 2 1/2 h at the speed of 60 miles/h

60+60+30=150 miles

for 30 min he drove 20 miles

150+20=170 miles

Answer:

2x-4

Step-by-step explanation:

Combine like terms to get your awnser

Step-by-step explanation:

Ur wlcm!

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Answer:

-3

Step-by-step explanation:

The slope can be defined as the change in y over the change in x

we can break this down even more by doing the y of the second point minus the y of the first point over x of the second point minus the y of the first point

so [tex]\frac{2-8}{4-2}[/tex] = [tex]\frac{-6}{2}[/tex] = -3 so the slope is -3

we can check this by graphing it and we will see that we get y= -3x+14 for an equation that runs through all the points.

[tex]\bold{Hey\ there!}[/tex]

[tex]\bold{-4p - 4p = \ ?}\\\ \bold{-4 - 4 = -8}\\\bold{-p - p = -p}\\\bold{-4p - 4p=\underline{-8p}}\\\boxed{\boxed{\bold{Answer: -8p}}}\checkmark[/tex]

[tex]\text{\bold{Good luck on your assignment and enjoy your day!}}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:

it's -8p

Step-by-step explanation:

Pls don't delete my question its annoying

Answer:

I think the answer is

x=4

y=6

Step-by-step explanation:

Answer:

the second one

Step-by-step explanation:

The table that represents a linear function is the first one, where the values of y are obtained by multiplying the corresponding values of x by a constant factor of 5.

The first table:

x: 1,2,3,4,5

y: 5,20,45,80,125

In this table, the values of y are obtained by multiplying the corresponding values of x by a constant factor of 5.

The relationship between x and y is consistent and can be expressed by the equation y = 5x, which is a linear function.

The second table:

x: 1,2,3,4,5

y: 5,25,125,625,3125

In this table, the values of y are obtained by raising the corresponding values of x to increasing powers of 5.

The relationship between x and y is not consistent and cannot be expressed by a linear function.

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Answer:19.2

Step-by-step explanation:

9514 1404 393

Answer:

  (b)  25 cm²

Step-by-step explanation:

The ratio of areas is the square of the ratio of linear dimensions.

  ar(ΔABC)/ar(ΔDEF) = (AB/DE)² = (1/2)² = 1/4

Then ...

  ar(ΔABC) = (1/4)(100 cm²) = 25 cm² . . . . . multiply by ar(ΔDEF)

The area of ΔABC is 25 cm².

Answer:

no solution

Step-by-step explanation:

Answer:

12x + 2

Step-by-step explanation:

4 ( 2x + 1 ) ⇔ 8x + 4

2 ( 2x - 1 )​ ⇔ 4x - 2

8x + 4 + 4x - 2 = 12x + 2

Answer:

4x

Step-by-step explanation:

Answer:

b and e I think. would be helpful to have more info

Step-by-step explanation:

Answer:

Linear

Step-by-step explanation:

Linear is a straight graph

Answer:

Linear

Step-by-step explanation:

The easiest way to recognize this from a graph is that its a straight line. If not then its non linear. If you aren't given a graph to go off of another way is to see if it has a constant rate of change, if it does its linear.

Answer:

252

Step-by-step explanation:

15 times 12 is 180. 3 times 6 is 18. 6 times 9 is 54. 252 is the area