The relationship between the number of gallons of water in a tank and number of hours is proportional. One point on the line modeling the relationship is ​(2​,7200​). Find the slope of the​ line, and draw a graph. Use the graph to find how long it will take to fill the tank if it holds 72,000 gallons.

The slope of the line is __

Answer:

So......cheating eh? jk, the answers 15

Step-by-step explanation:

you plug in 15 for x ==> 2/3 x 15 + 5 = f(15)

simplify ==> 10+5 = f(15)

so f(15) = 15

Answer:

300 miles

Step-by-step explanation:

$67.96 + $0.11x = $55.96 + 0.15x

x = 300

I hope this helps!

Answer: 2,435

Step-by-step explanation:

trust

Answer:

4. Positive (+)

5. Negative (-)

Step-by-step explanation:

When the exponent is even, the value will be positive (+). If the exponent it's odd, the value will be negative (-). This only applies when the number in the parenthesis is a negative number.

4) Solution:

→ (-6)⁴

→ -6 × -6 × -6 × -6

→ +1296

Ans: Positive

5) Solution:

→ (-3)⁷

→ -3 × -3 × -3 × -3 × -3 × -3 × -3

→ -2187

Ans: Negative

[tex]\\ \sf\longmapsto 2m+(-2m)+4m[/tex]

[tex]\\ \sf\longmapsto 2m-2m+4m[/tex]

[tex]\\ \sf\longmapsto (2-2)m+4m[/tex]

[tex]\\ \sf\longmapsto 0+4m[/tex]

[tex]\\ \sf\longmapsto 4m[/tex]

Answer:

4m

Step-by-step explanation:

2m+(-2m)+4m = 2m-2m+4m

                       = 4m

Hope it helps!!

Hello there!

6-3b-6=-15

-3b=15+6-6

-3b=15

b=-3

Hope it helps you!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature[/tex]

Answer:

b=5

Step-by-step explanation:

6-3b-6=-15

     -3b=-15

      3b=15

        b=15÷3

          =5

Jill will have taken 21 in 65 days because 65 divided by 3 is 21.6666666667.

Joe will have taken 16 in 65 days because 65 divided by 4 is 16.25.

Answer:

huh? did you mean to send in tgis as a question or something???

Answer:

All percent's can be written as a fraction out of 100.

Step-by-step explanation:

Percent's are usually percent's out of 100, so if you had 63%, it would be 63% out of 100, so your answer is 100

Answer:

area = 28.27433

Circumference = 18.84956

Step-by-step explanation:

I hope that this helps!!

Answer:

I believe it's (2d - 1) • (d + 2)

Step-by-step explanation:

Step-1 : Multiply the coefficient of the first term by the constant   2 • -2 = -4

Step-2 : Find two factors of  -4  whose sum equals the coefficient of the middle term, which is   3 .

     -4    +    1    =    -3

     -2    +    2    =    0

     -1    +    4    =    3    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -1  and  4

                    2d2 - 1d + 4d - 2

Step-4 : Add up the first 2 terms, pulling out like factors :

                   d • (2d-1)

             Add up the last 2 terms, pulling out common factors :

                   2 • (2d-1)

Step-5 : Add up the four terms of step 4 :

                   (d+2)  •  (2d-1)

            Which is the desired factorization

Answer -  (2d - 1) • (d + 2)

Answer:

Step-by-step explanation:

please tell me what is -9d×2-d×2

-9d×2-d×2

-18d -2d

-20d

Answer:

B

Step-by-step explanation:

jus belive me

The perimeter of parallelogram PQRS will be 8√2 + 2√10 units.

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal.

On a coordinate plane, parallelogram PQRS is shown.

Point P is at (-2, 5), point Q is at (2, 1), point R is at (1, -2), and point S is at (-3, 2).

In the diagram, SR = 4√2 and QR = √10.

We know SR = PQ and RQ = SP

Then the perimeter of the parallelogram is the sum of all sides.

P = PQ + QR + RS + SP

P = 4√2 + √10 + 4√2 + √10

P = 8√2 + 2√10

Then the perimeter of parallelogram PQRS will be 8√2 + 2√10 units.

More about the parallelogram link is given below.

https://brainly.com/question/1563728

#SPJ6

Answer:

  -1

Step-by-step explanation:

The expression evaluates to the indeterminate form -∞/∞, so L'Hopital's rule is appropriately applied. We assume this is the common log.

  d(log(x))/dx = 1/(x·ln(10))

  d(log(cot(x)))/dx = 1/(cot(x)·ln(10)·(-csc²(x)) = -1/(sin(x)·cos(x)·ln(10))

Then the ratio of these derivatives is ...

  lim = -sin(x)cos(x)·ln(10)/(x·ln(10)) = -sin(x)cos(x)/x

__

At x=0, this has the indeterminate form 0/0, so L'Hopital's rule can be applied again.

  d(-sin(x)cos(x))/dx = -cos(2x)

  dx/dx = 1

so the limit is ...

  lim = -cos(2x)/1

  lim = -1 when evaluated at x=0.

_____

I find it useful to use a graphing calculator to give an estimate of the limit of an indeterminate form.

Answer:

c. 7

Step-by-step explanation:

Amanda is 15. 15 is 3 times the age difference so you know the age difference is 5. Britney is 12 so subtract 5 and thats 7.

Answer:

C. 7 Years Old

Step-by-step explanation:

Did the quiz and got 100%

Answer:

what's the correct number supposed too equal?

Answer:

I don't see a Solution to this equation

Answer:

c,=2d=-2

Step-by-step explanation:

Answer:D

Step-by-step explanation:

The equation is y=mx+b. Here the slope is 1/5 and b is 5

Answer:

D

Step-by-step explanation:

Y intercept is +5

Slope is going up one and over five, so 1/5.

y=1/5x+5

Answer:

Step-by-step explanation:

Answer:

the answer is just a

Step-by-step explanation:

Answer:

θradians sin(θ)

3π/2 -1

Step-by-step explanation:

leave a thanks if helped pls <3

The trigonometric function gives the ratio of different sides of a right-angle triangle. The trigonometric function and angle are equivalent to sin(270°).

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

Given the trigonometric function sin(270°) which can be written in the form of radian angle. So that the value of the angle is the same. Therefore, the trigonometric function and angle that is equivalent to sin(270°) can be written as,

sin(270°) = sin(3π/2)  = -1

Also, if the trigonometric function is needed to be changed then we can write,

sin(3π/2) = cos(π) = cos(180°) = -1

Hence, the trigonometric function and angle are equivalent to sin(270°).

Learn more about Trigonometric functions:

https://brainly.com/question/6904750

#SPJ2

Answer:

Dude just search it up

Step-by-step explanation:

you have small brain

Answer:

In mathematics, the magnitude or size of a mathematical object is a property which determines whether the object is larger or smaller than other objects of the same kind. More formally, an object's magnitude is the displayed result of an ordering ( or ranking ) - of the class of objects to which it belongs.

Answer:

B and C

Step-by-step explanation:

Jane found multiples of 8 instead of factors and should've gotten 1, 2, 4, and 8 as her answer.

Hope this helps :)

Answer:

B& C

Step-by-step explanation:

hope it helps

Answer:

No.

Step-by-step explanation:

If you plug both fractions into a calculator, you will get:

1/4 = 0.25

3/5 = 0.60

Since 25 is less than 60, 1/4 is not greater than 3/5.

Answer:

its 32 yards if I'm correct

Step-by-step explanation:

I'm not for sure but I remember doing something like this

Answer:

Direct proportional graphs do not need to start from the origin.

Step-by-step explanation:

Direct proportional graphs do not need to start from the origin. However, all direct proportional graphs must go through the origin.

Regardless of the value of the constant of proportionality, k, the graph of the lines all go through the point of origin, (0, 0).  

As a proof, the attached screenshot shows the graph of three equations of direct variations.  The graphed direct variation equations, y = 2x, y = -2x, and y = ¼x all go through the point of origin.

Answer:

1A,) 5x 2 and 3x are unlike terms and 9x 3 and 2x 2 are also unlike term

* so you have to put the like terms together to solve the equation

*then you say 9x 3 first because it is the biggest number (I think)

* then you put 5x 2 and 2x 2 together and 3x and x together too

* then you will get : 9x 3+ (5x 2 + 2x 2) + (3x -x)

:9x 3 + 7x 2 +2x

in algebra 3x -x is like saying 3-1 aka x is seen as 1 but the one is invisible

haha

and unlike terms are terms that do not have the same variables or powers while like terms are terms that have the same variables or powers

Answer:

-10

Step-by-step explanation:

The 'y' variable is associated with outputs and the 'x' variable is associated with inputs.

[tex]y = 5x-2\\\rule{150}{0.5}\\-52 = 5x - 2\\\\-52 + 2 =5x - 2 + 2\\\\-50 = 5x\\\\\frac{-50=5x}{5}\\\\\boxed{-10 = x}[/tex]

-10 (x) should be the input number.

Answer:

x = -10

Step-by-step explanation:

Equation:

-52 = 5x - 2         [tex]\longmapsto[/tex]       Add 2 to both sides

-50 = 5x              [tex]\longmapsto[/tex]       Divide both sides by 10

x = -10

-Chetan K

Answer:

20v + 6

Step-by-step explanation:

Perimeter = v + 10 + v + 10 + 9v - 7 + 9v - 7

Perimeter = 2v + 18v + 20 - 14

Perimeter = 20v + 6

-Chetan K

Answer:

Perimeter = 9v - 7 + 9v - 7 + v + 10 + v + 10

= 20v + 6...ans

Step-by-step explanation:

Step-by-step explanation:

so, we need to find the smallest common multiple of 36 and 42.

that is the smallest number I can divide both by 36 and 42 without remain.

let's use the method of basic prime factors (we start with the smallest fitting prime number - 2 is a prime number too - and divide as often as possible, then continue with the next bigger prime number, until there is nothing left to divide) :

36 / 2 = 18

18 / 2 = 9

9 / 3 = 3

3 / 3 = 1 finished

therefore,

36 = 2×2×3×3

42 / 2 = 21

21 / 3 = 7

7 / 5 does not work

7 / 7 = 1 finished

therefore,

42 = 2×3×7

to find the smallest common multiple (SCM) we check the maximum length of each prime factor sequence.

and we see 2 times 2, 2 times 3 and 1 time 7.

so, the SCM = 2×2×3×3×7 = 252.

there is no smaller number that can be divided by both 36 and 42 without remain.

so, the rod must be at least 252 cm long to cut it into equally long pieces of either 36 cm (7 pieces) or 42 cm (6 pieces).