A bathtub is draining at a constant rate. After 2 minutes, it holds 28 gallons of water. Three minutes later it holds 7 gallons of water. Write an equation that represents the number y in gallons of water in the tub after x minutes.​

Answer:

x=2

Step-by-step explanation:

Alright for this type of problem the line CE is proportional to line FG meaning that the length of line CE is two times the length of EG. What we want to do is set up an equation that will help us solve for x. The equation would be

18-4x=6x-7 but because line CE is two time greater than line FG we have to multiply the side of EG by 2 so the new equation is

18-4x=12x-14 Now we can began to solve

step 1 : subtract 18 to each side

-4x=12x-32

step 2; subtract 12 from each side

-16x=-32

step 3: divide each side by -16

x=2

I Hope this Helps you out a little (:

[tex]\boxed{\pink{\tt\longmapsto The \ nth \ term \ of \ the \ sequence\ is \ given \ by \frac{1}{n}}} [/tex]

A sequence is given to us is , and we need to find expression for nth term of the sequence. The given sequence is ,

[tex]\boxed{\boxed{\blue{\qquad\bf 1 , \dfrac{1}{2},\dfrac{1}{3},\dfrac{1}{4},\dfrac{1}{5},\dfrac{1}{6}}}}[/tex]

When we flip the numbers , we can clearly see that the number are in Harmonic Progression.

That is when we flip the numbers they are found to be in Arithmetic Progression .

And nth term of an Harmonic Progression is :-

[tex]\boxed{\purple{\bf T_{(Harmonic \ Progression)} = \dfrac{1}{a+(n-1)d}}} [/tex]

Hence here

Substituting the respective values,

[tex]\bf\implies T_{n}= \dfrac{1}{a+(n-1)d} \\\\\bf\implies T_{n} = \dfrac{1}{1+(n-1)1}\\\\\bf\implies T_n = \dfrac{1}{1+n-1}\\\\\bf\implies\boxed{\red{\bf T_{n}=\dfrac{1}{n}}}[/tex]

Answer:

-2

Step-by-step explanation:

Answer:

k = i√ 5 , -i√ 5

Step-by-step explanation:

3 + kx^2 + 2 = ?

3 + k(1)^2 + 2 = ?

5 + k(1)^2 = ?

5 + k^2 = ?

k^2 = -5

k = i√ 5 , -i√ 5

Answer:

Step-by-step explanation:

67.1< (less than) 67.09

False

1880.09< (less than) 1880.023

False

Answer:

i got you

Step-by-step explanation:

2 is 142

4 is 142

(they are parallel therefore they are the same :))

Answer:

In the middle the narration changes to the inner dialogue of Leamas. We are given the opportunity to be with his thoughts and experience the character for ourselfs

Answer:

The experimental and theoretical probabilities will be completely random because flipping the coin which, of course, has two different sides, the probability is cut perfectly in half.

hope this helps

Step-by-step explanation:

Answer:

3) $76.00

Step-by-step explanation:

I did my math

Answer:

975

Step-by-step explanation:

Answer:

975 what kind of question of that

Answer:

5 cm

Step-by-step explanation:

the perimeter of a square with sides of 9 cm is 36 cm so the rectangle must have the same perimeter

if the length of the rectangle is 13cm, its opposite side is also 13cm

add 13 + 13 to get 26

let 'n' = width of rectangle

perimeter = 26 + n + n

36 = 26 + 2n

2n = 10

n = 5

If the length of the rectangle is 13 cm then the width of the rectangle will be equal to 5 cm.

A shape's perimeter is the whole distance encircling it. It is the perimeter or length of the contour of any two-dimensional geometric body. The circumference of several figures could be compared based on the measurements.

As per the information given in the question,

Length of the side of the square = 8 cm

Then, use the formula of the perimeter of the square = 4 × side

= 4 × 9 = 36 cm

The length of the rectangle = 13 cm

Use the formula of the perimeter of the rectangle,

P = 2(l + w)

36 = 2(13 + w)

36 -26 = 2w

w = 10/2

w = 5 cm

To know more about Perimeter:

https://brainly.com/question/6465134

#SPJ5

Answer:

???

Step-by-step explanation:

Answer:

[tex]x=42[/tex]

Step-by-step explanation:

Since we use the sides opposite and adjacent to the given angle, we will use the tangent ratio:

[tex]tangentX=\frac{opposite}{adjacent}[/tex]

Insert the given values:

[tex]tanX=\frac{9}{10}[/tex]

Since we need to find the angle, use the inverse:

[tex]x=tan^{-1}(\frac{9}{10})[/tex]

Insert the equation into a calculator:

[tex]x=41.98721249[/tex]

Round to the nearest tenth:

[tex]x=42.0[/tex]

:Done

Answer:

it rounds to 42.0, using tangent

Step-by-step explanation:

give other person brainliest

Answer:

Luther Martin

Step-by-step explanation:

Answer:

W=4

Step-by-step explanation:

When you plug 4 into w, it changes into 4/8 which simplifies to 1/2.

1/2 times 6 is 3.

11+3=14

Answer:

Solve for k by simplifying both sides of the equation, then isolating the variable.

Exact Form: k = 3/2

Decimal Form: k = 1.5

Mixed Number Form: k = 1  1/2

Hope this helps!

Answer:

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

Step-by-step explanation:

Given

[tex]\frac{k}{3}[/tex] + 4 - 5k = - 2k

Multiply through by 3 to clear the fraction

k + 12 - 15k = - 6k

- 14k + 12 = - 6k ( add 14k to both sides )

12 = 8k ( divide both sides by 8 )

k = [tex]\frac{12}{8}[/tex] = [tex]\frac{3}{2}[/tex]

Answer:

The average rate will be: -4

Hence, option A is correct.

Step-by-step explanation:

Given the interval

0 ≤ x  ≤ 2

From the graph, it is clear that:

at x₁ = 0, f(x₁) = 3

at x₂ = 2,  f(x₂) = -5

Using the formula to determine the average rate of change:

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]

                      = [-5 - 3] / [2-0]

                      = -8 / 2

                     = - 4

Therefore, the average rate will be: -4

Hence, option A is correct.

Answer:

Infinite

Step-by-step explanation:

A triangle that has all 60-degree angles is equilateral, which means that all side lengths are the same. However, there are infinite possibilities for the side lengths!

I hope this helped, please give brainliest if this is correct! Thank you!

Answer:

The area of a shape that has a length of 5 and a width of 16 is 80.

Step-by-step explanation:

Just multiply 5 by 16.

Answer:

A (?)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

if you look at the graph the area thats purple for texas is farther up it meaning the tempature is higher.

Answer: 294 cm^2

Volume of the cube= 343 cm^3

l^3=343

l= 3 root 343

l=7cm

SA= 6*l^2

SA=6*7*7

=294 cm^2

Answer: 10/3

Step-by-step explanation: trust me my guy g o o g l e is always correct

Answer:

hope this helps

Step-by-step explanation:

Answer:

The answer is B

[tex]y<-\frac{1}{4} x+2\\[/tex]

Step-by-step explanation:

Let:

[tex](x1,y1)=(0,2)\\(x2,y2)=(4,1)\\m=\frac{1-2}{4-0}=-\frac{1}{4} \\y-y1=m(x-x1)\\y-2=-\frac{1}{4} (x-0)[/tex]

Since the line is dotted and the area is below the line:

[tex]y<-\frac{1}{4}x+2[/tex]

PLEASE MARK ME AS BRAINLIEST

Answer:

[tex]-\frac{5}{4}[/tex]

Step-by-step explanation:

The slope of a graph is the rate of change between two points. To find the slope in a graph you use: [tex]\frac{rise}{run}=\frac{y}{x}[/tex]

The y goes down by 5 and right by 4 so it'll be [tex]-\frac{5}{4}[/tex]

Also: If the line is going down the slope is always negative and vise versa

Answer:

10.7

Step-by-step explanation:

10.66 rounds up to 10.7

Answer:

Step-by-step explanation:

a is o.53 repeated

Answer:

it would be -3 for letter B.

Step-by-step explanation:

why okay reduce the number so it would be 9/4 ÷ 3/4 if that makes sense

Answer: ↓↓

Step-by-step explanation:

x^0 -- 1

x^-a -- 1/x^a

x^a * x^b -- x^a + b

x^a/x^b -- x^a - b

(x^a)^b -- x^ab

Step-by-step explanation:

Time in hours is directly proportional to the number of newspapers.

3 hours = 450 newspapers

=> 4 hours = 450 * (4/3) = 600 newspapers.

Hence Joy can deliver 600 newspapers in 4 hours.

Answer:

every angle is 90°

Step-by-step explanation: