x - 2/2 = 3x + 8/4

A. 12
B. -24
C. 16

Part A

The equation is g = -2.5m + 20

The +20 represents us starting with 20 gallons. The -2.5m portion indicates losing 2.5 gallons per minute. So after m minutes, we'll have -2.5m+20 gallons left.

The smallest m can be is m = 0

Let's plug in g = 0 and solve for m to find the largest possible m value

g = -2.5m + 20

-2.5m + 20 = g

-2.5m + 20 = 0

-2.5m = -20

m = (-20)/(-2.5)

m = 8

At the 8 minute mark is when g = 0. So this is when the tub is completely empty. We cannot go beyond this point because g would become negative. So m = 8 is the largest m can get.

This means m is between 0 and 8, including both endpoints.

The domain is [tex]0 \le m \le 8[/tex]

The domain is continuous because the number of minutes is continuous. We cannot have a jump in time from something like m = 1 to m = 2 without values in between. In other words, to go from m = 1 to m = 2, we need to pass by something like m = 1.5

No matter what two values you pick in the interval mentioned, there is always going to be some midpoint and infinitely many other values to deal with.

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Answers:

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Part C

See the graph below. The table is included as well.

To generate the table, we select values of m from the domain found earlier. I'm using whole numbers for m, but you can use any real number you want from that interval.

Let's say we picked m = 2

That would mean,

g = -2.5m + 20

g = -2.5*2 + 20

g = -5 + 20

g = 15

So at the 2 minute mark, the tub will have 15 gallons left. That means we'll have a row with m = 2 and g = 15 pair up together. The rest of the table is generated in a similar fashion.

Once the table is set up, you plot all of the points and draw a line through them to complete the graph.

Because we're dealing with a linear function, we only need 2 points at minimum to graph it. However, you can generate as many points as you want. It could be good practice.

Side note: Stuff to the left of m = 0 and stuff to the right of m = 8 is not graphed, as these portions are not in the domain.

Answer:

here ya go

Step-by-step explanation:

zeros at x = 1 and x = 5

Answer:

It is equal to the protons in a neutral atom

more over

#proton =#electrons=atomic number

Answer:

It is equal to the protons in a neutral atom

Answer:

FEET

Step-by-step explanation:

Answer: liquid= lotion capsule= solid suspension=semisolid

Step-by-step explanation:

Answer:

y = -5x

Step-by-step explanation:

Slope intercept form is

y = mx+b  where m is the slope and b is the y intercept

5x+y = 0

Subtract 5x from each side

5x+y-5x= 0-5x

y = -5x

Answer:

where is the n in the equation?

Step-by-step explanation:

Answer:

when -2 , y = 1

when 0, y = -5

when 2, y = -3

when 3, y = 1

when 4, y = 7

Answer: im pretty sure its y is more than or equal to 3x - 4

Step-by-step explanation:

Answer:

Click on the 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

2 is like terms

1 one is coeff

3 is const

4 is  expression

5 is trem

6 is variable

9514 1404 393

Answer:

  an = 4×34^(n-1)

Step-by-step explanation:

If your recursive definition is ...

  [tex]\begin{cases}a_1=4\\a_{n}=34a_{n-1}\end{cases}[/tex]

this defines a geometric sequence with a first term a1 = 4 and a common ratio of r = 34. The general form of the explicit function is ...

  [tex]a_n=a_1\times r^{n-1}[/tex]

For the values shown here, the explicit definition of the sequence is ...

  [tex]\boxed{a_n=4\times 34^{n-1}}[/tex]

The option that gives the correct value of the second term is;

Option B; -73728x¹¹y

We are given the expression;

(2x - 3y)¹²

Now we want to find the second term using binomial expansion.

(x + y)² = x² + 2xy + y²

(x - y)³ = x³ - 3x²y + 3xy² + y³

(x - y)⁴ = x⁴ - 4x³y + 6x²y² - 4xy³ + y⁴

(x - y)¹² = x¹² - x¹¹y + x¹⁰y² - x⁹y³ + ....

Now applying this same system above to our question gives us;

(2x - 3y)¹² = 4096x¹² - 73728x¹¹y + 608256x¹⁰y² - 3041280x⁹y³ + ........

Thus, our second term here is; -73728x¹¹y

In conclusion, the correct option that gives the second term is Option B.

Read more at; https://brainly.com/question/24102756

Answer:

14 cm by 34m

Step-by-step explanation:

Answer:

ok so like it was in the 35 so you can add175 and that wi8ll be 321

Step-by-step explanation:

Answer:

6

.......

.

...........

Answer: 500

Step-by-step explanation: A third of 1,500 is 500, and 2/3 of 1,500 is 1,000. So, 1,500 - 1,000 = 500 liters. Therefore, in order to make the tank full, 500 liters of water are needed.

Answer:

guath math

Step-by-step explanation:

There is an app called guath math and it shows you all the steps and everything to a math problem just by scanning it. Also it is fast than asking people on brainly;

Answer: 30 pizzas are sold per hour so 180 pizzas are sold 6 hours

Step-by-step explanation:

If i make 30 pizzas per hour i can make 180 pizzas in 6 hours

so 6 x 30 = 180

i would know this because i work at a pizza place

Answer:

25.317977802344

Step-by-step explanation:

25x25= 625

4x4= 16

625+16= 641

The square root of 641 is 25.317977802344

n this case we are going to use the 'Babylonian Method' to get the square root of any positive number.

We must set an error for the final result. Say, smaller than 0.01. In other words, we will try to find the square root value with at least 1 correct decimal place.

Step 1:

Divide the number (641) by 2 to get the first guess for the square root.

First guess = 641/2 = 320.5.

Step 2:

Divide 641 by the previous result. d = 641/320.5 = 2.

Average this value (d) with that of step 1: (2 + 320.5)/2 = 161.25 (new guess).

Error = new guess - previous value = 320.5 - 161.25 = 159.25.

159.25 > 0.01. As error > accuracy, we repeat this step again.

Step 3:

Divide 641 by the previous result. d = 641/161.25 = 3.9751937984.

Average this value (d) with that of step 2: (3.9751937984 + 161.25)/2 = 82.6125968992 (new guess).

Error = new guess - previous value = 161.25 - 82.6125968992 = 78.6374031008.

78.6374031008 > 0.01. As error > accuracy, we repeat this step again.

Step 4:

Divide 641 by the previous result. d = 641/82.6125968992 = 7.7591072555.

Average this value (d) with that of step 3: (7.7591072555 + 82.6125968992)/2 = 45.1858520774 (new guess).

Error = new guess - previous value = 82.6125968992 - 45.1858520774 = 37.4267448218.

37.4267448218 > 0.01. As error > accuracy, we repeat this step again.

Step 5:

Divide 641 by the previous result. d = 641/45.1858520774 = 14.1858562034.

Average this value (d) with that of step 4: (14.1858562034 + 45.1858520774)/2 = 29.6858541404 (new guess).

Error = new guess - previous value = 45.1858520774 - 29.6858541404 = 15.499997937.

15.499997937 > 0.01. As error > accuracy, we repeat this step again.

Step 6:

Divide 641 by the previous result. d = 641/29.6858541404 = 21.5927760397.

Average this value (d) with that of step 5: (21.5927760397 + 29.6858541404)/2 = 25.63931509 (new guess).

Error = new guess - previous value = 29.6858541404 - 25.63931509 = 4.0465390504.

4.0465390504 > 0.01. As error > accuracy, we repeat this step again.

Step 7:

Divide 641 by the previous result. d = 641/25.63931509 = 25.0006678318.

Average this value (d) with that of step 6: (25.0006678318 + 25.63931509)/2 = 25.3199914609 (new guess).

Error = new guess - previous value = 25.63931509 - 25.3199914609 = 0.3193236291.

0.3193236291 > 0.01. As error > accuracy, we repeat this step again.

Step 8:

Divide 641 by the previous result. d = 641/25.3199914609 = 25.3159643039.

Average this value (d) with that of step 7: (25.3159643039 + 25.3199914609)/2 = 25.3179778824 (new guess).

Error = new guess - previous value = 25.3199914609 - 25.3179778824 = 0.0020135785.

0.0020135785 <= 0.01. As error <= accuracy, we stop the iterations and use 25.3179778824 as the square root.

So, we can say that the square root of 641 is 25.31 with an error smaller than 0.01 (in fact the error is 0.0020135785). this means that the first 2 decimal places are correct. Just to compare, the returned value by using the javascript function 'Math. sqrt(641)' is 25.317977802344327.

Answer:

Answer is 221/20

Step-by-step explanation:

if we solve 3 2/5 × 3 1/4

then we will get 221/20.

Answer:

A U B U C = {1,2,3,4,5,6,7,8,9}

Step-by-step explanation:

This is the correct form

Answer:

A={1,4,5,6,7}

B={1,2,5,8,9}

C={3,4,5}

AUBUC= all elements of A,B,C

={1,2,3,4,5,6,7,8,9}

Answer:

steps below

Step-by-step explanation:

5-1)  Center of dilation: intersect of AA' and BB' (or CC' ...) (M in the graph)

5-2) scale factor = A'B' / AB = 6/4 = 1.5

5-3) ratio of all corresponding sides are equal = 1.5 and parallel, it also means all corresponding angles are similar.

Answer: Explanation below.

Step-by-step explanation:  A good question, since working with inequalities  and using the same operations as with "=" equations is a bit uncomfortable.  I don't have a mathematical proof for this operation, but approach it with a "Why not?" attitude.  If 9>6 and 130 > 30, why wouldn't 139>36?  There is nothing in the add operation that should upset the basic inequality.  I suggest https://www.storyofmathematics.com/inequalities-math for more information.

[tex] \bf \frac{840}{1152}^{(4} = \frac{210}{288}^{(6} = \frac{35}{48}[/tex]

Hello!

[tex]\frac{840}{1152}[/tex]

Divide by 2:

[tex]\frac{420}{576}[/tex]

Divide by 2 again because the fraction is not in its simplest form:

[tex]\frac{210}{288}[/tex]

Divide by 2 again:

[tex]\frac{105}{144}[/tex]

Divide by 3:

[tex]\frac{35}{48}[/tex]

And we are done! Hope this helps!

~Just a joyful teen

[tex]SilentNature\\(GraceRosalia)[/tex]

Answer:

She can make 18 bows.

Step-by-step explanation:

0.4 x 18 = 7.2, and you cannot go over since she only has a supply of 7.5.

Hope it helps!

Please mark brainliest if you want to, it'd mean a lot :)

Answer:

skilled readers make use context and predictionskilled readers make use context and predictionskilled readers make use context and prediction

Step-by-step explanation:

Answer:

I don't know the answer sorry luv but ur pfp is cute

-xoxo

Answer:

The correct answer is D

Step-by-step explanation:

because a, b, and c all equal a negative which goes on the left side of 1 but d is the only one that equals a positive number which goes on the right side of

Correct me if I'm wrong

Please give thanks

What is the equation of this line?

Answer:

D. Y = 4x-6