Water from a leaking faucet is dripping into a cylindrical cup. The height of water in inches, y, after x hours is graphed below. Dripping Water A graph with hours on the x-axis and height (inches) on the y-axis. A line goes through points (1, 2), (2, 4), and (3, 6). Which describes the pattern of the data in the graph? The water level increases by 1 inch each hour. The water level increases by 2 inches each hour. The water level increases by a factor of one-half each hour. The water level increases by a factor of 2 each hour.

Answers

Answer 1

Answer:

y = 2x

Step-by-step explanation:

Step-by-step explanation:

Let

y ----> the height in inches

x ----> the time in hours

we have the ordered pairs

(1, 2), (2, 4), and (3, 6).

step 1

Find the slope

take two points to calculate the slope

(2, 4), and (3, 6)

The formula to calculate the slope between two points is equal to

m = 2 in/h

step 2

Find the equation of the line in point-slope form

we have

m =2

point (2,4)

Convert to slope-intercept form

isolate the variable y

y = 2x


Related Questions

9 is 15% of what amount?

Answers

Answer:

0.9 is 15% of 6

work:

0.15 x 6 = 0.9

Hope this helps!

You order two tacos and a salad costs $2.50 you pay 8% sales tax and leave a $3 tip you pay a total of $13.80 how does one taco cost

Answers

Tacos 3.60 each
Salad 2.5
Sales Tax 1.10
Tip 3
Total 13.80

Answer:

One taco costs $3.75.

Step-by-step explanation:

Let x = cost of taco

You order 2 tacos: 2x

You add a salad: 2x + 2.5

You pay 8% sales tax on 2x + 2.5, so you pay 1.08(2x + 2.5)

You leave a $3 tip, so the total you pay is: 1.08(2x + 2.5) + 3

The total you pay is $13.80

1.08(2x + 2.5) + 3 = 13.80

Subtract 3 from both sides.

1.08(2x + 2.5) = 10.8

Divide both sides by 1.08

2x + 2.5 = 10

Subtract 2.5 from both sides.

2x = 7.5

x = 3.75

One taco costs $3.75.

2d - 15 =3 pls answer ASAP and with corrections

Answers

Answer: d=9

Step-by-step explanation:

2d -15 = 3    Add 15 to both sides

     + 15 +15

2d = 18    Divide both sides by 2

d = 9

Answer:

d=9

Step-by-step explanation:

collecting like terms

2d=3+15

2d=18

d= 9

Need ASAP! Choose the numbers that are irrational. 1. 0. 87 repeating 2. 3.624 3. √2 4. 0. 6 repeating 5. -5 6. 1 over 3 7. Pi. I couldn't use the symbol

Answers

Answer:

1, 3, 7

Step-by-step explanation:

A rational number can be written as a ratio or fraction.

1) I wasn't able to determine a fraction for what I'm assuming you meant by 0.878787878787 going on and on so it must be irrational

2) 3.624 can be written as 3 78/125

3) The square root of two is irrational

4) 0.6666666 going on and on can be written as 1/3

5) -5.6 can be written as a fraction too

6) 1/3 is already a fraction

7) Pi is irrational

Hope that helps!

I plugged in 4 for the derivative function but I’m getting the wrong answer?

Answers

Answer:

8.6615988

Step-by-step explanation:

f(x) = 3 sin (x) / ( 1 + cos x)

To find the derivative   bottom * d/ dx top  - top d/dx bottom  all over the bottom squared

d/dx = 3 ( ( 1 + cos x)  cos x - sin x( - sin x))   / ( 1 + cos x) ^2

         = 3 ( cos x + cos ^2 x + sin ^2 x)   / ( 1 + cos x) ^2

         = 3 ( 1 + cos  x) /  ( 1 + cos x) ^2

         = 3 / ( 1 + cos x)

Let x = 4

3  /  ( 1 + cos 4)

Assuming x is in radians

3/.346356

8.6615988

Hii, so this was one of the questions on a previous CSAT exam (korean sat). I was curious and decided to look at a few questions. This question I found was particularly interesting and I am close to figuring it out but i keep getting stuck. Would anyone like to explain how this works and how to solve it?

Answers

Answer:

Step-by-step explanation:

Well you can calculate the area of the base side by the integration of cos - sin x over the limits x = 0 and x = π/6.

Then I think one side of the square  would be cos π/6 - sin  π/6.

So I think the required volume  can be worked out as area of base * length of a side of the square.

I think that,s the way to do it, if i have interpreted the question correctly.

Estimate the addition by rounding each number to the nearest hundred thousand. Then find the sum. Estimate: 229,275 +115,368 344633​

Answers

Answer:

600,000

Step-by-step explanation:

When rounding to the nearest 100,000 if it's X50,000 you round up 1 for the X, if it's X49,999 or less you keep the X as is.

229,275 rounding to the hundred thousand would be 200,000

115,368 would be 100,000

344,633 would be 300,000

so 200,000+100,000+300,000 = 600,000

What is the area of 6 ft and 5 ft

Answers

Well area is bh/2 which I would say 15 I’m not sure if it’s the right answer

Answer:

15

Step-by-step explanation:

Which expression is not equivalent to a ∙ c ∙ 5 ∙ 5? 1. 10ac 2. 25ca 3. 25ac

Answers

Answer:

3. 25ac

Step-by-step explanation:

[tex]a\cdot c\cdot \:5\cdot \:5\\=25ac[/tex]

Explain how to use friendly percents to find 35% of 80

Answers

Answer:

You can use friendly percents to find 35% of 80 by writing 35% as 25% + 10%. 25% of 80 is 80 divided by 4, which is 20. 10% of 80 is 80 divided by 10, which is 8. 20 + 8 = 28. So 35% of 80 is 28.

Step-by-step explanation:

I just did the test!!! And plus its a sample answer !!!

Question 3 (5 points)
(-1) + 5 -(-6) - 5 =
A) -3
B) 0
C) 5
D) -2.

Answers

Answer:

5

Step-by-step explanation:

-1+5+6-5

-1-5+5+6

-6+11

5

Probe that:
[tex] \sec \alpha \sqrt{1 - \sin( {}^{2} ) } \alpha = 1[/tex]

Answers

Step-by-step explanation:

[tex] \sec \alpha \sqrt{1 - \sin ^{2} \alpha } = 1[/tex]

Prove the LHS

Using trigonometric identities

That's

[tex] \cos ^{2} \alpha = 1 - \sin^{2} \alpha [/tex]

Rewrite the expression

We have

[tex] \sec \alpha \sqrt{ \cos^{2} \alpha } [/tex]

[tex] \sqrt{ { \cos }^{2} \alpha } = \cos \alpha[/tex]

So we have

[tex] \sec \alpha \times \cos \alpha [/tex]

Using trigonometric identities

[tex] \sec \alpha = \frac{1}{ \cos \alpha } [/tex]

Rewrite the expression

That's

[tex] \frac{1}{\cos \alpha } \times \cos \alpha [/tex]

Reduce the expression with cos a

We have the final answer as

1

As proven

Hope this helps you

Write the possible range of each measurement to the nearest tenth. Include unit measure. Round to the tenths place.

60 m ± 4.5%

__?__ - __?__

Answers

Answer:

60.0m≤60.1m

Step-by-step explanation:

Given the interval for the measurement to be  60 m ± 4.5%, the posible range of each measurement is expressed as shown;

60 m ± 4.5% =  60 m ± 4.5/100

=  60 m ± 0.045

= (60 - 0.045, 60+0.045)

= (59.955, 60.045)

Hence possible range of each measurement to the nearest tenth is (60.0m≤60.1m)

Match each pair of points with the approximate distance between them. Round your answer to the nearest tenth. Answers: 7.07, 5.1, 2, 2.83, 5.39, 13.15, 12.5 What to match them to: (3,-1) and (5,4), (2,3) and (4,5), (-5,7) and (8,5), (-2,4) and (3,-1)

Answers

(3, -1) -> (5, 4) = 5.38516 or 5.39 units

(2, 3) -> (4, 5) = 2.82843 or 2.83 units

(-5, 7) -> (8, 5) = 13.1529 or 13.15 units

(-2, 4) -> (3, -1) = 7.07107 or 7.07 units

The correct matching of the pair of points and the distance between them would be:

(3, -1) → (5, 4) = 5.39 units(2, 3) → (4, 5) =  2.83 units(-5, 7)  → (8, 5) = 13.15 units(-2, 4) → (3, -1) =  7.07 units

How to find the distance ?

The distance between two points in a 2-dimensional Cartesian plane is given by the Euclidean distance formula, which is a direct application of Pythagoras' theorem.

The distance between the points are therefore:

(3,-1) and (5,4):

Distance = √[(5 - 3)² + (4 - (-1))²] = √[(2)² + (5)²]

= √[4 + 25] = √[29]

= 5.39

(2,3) and (4,5):

Distance = √[(4 - 2)² + (5 - 3)²] = √[(2)² + (2)²]

= √[4 + 4] = √[8]

= 2.83

(-5,7) and (8,5):

Distance = √[(8 - (-5))² + (5 - 7)²] = √[(13)² + (-2)²]

= √[169 + 4] = √[173]

= 13.15

(-2,4) and (3,-1):

Distance = √[(3 - (-2))² + ((-1) - 4)²] = √[(5)² + (-5)²]

= √[25 + 25]

= √[50]

= 7.07

Find out more on distance at https://brainly.com/question/7243416

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Can you help me out?

Answers

Answer:

Eight X plus sixty equals one hundred fifty-six

Can anyone find the slope of this line (lots of points reward)

Answers

Answer:

(-5,1)

Step-by-step explanation:

i dont really know but might be right

Answer:

   -1/2

Step-by-step explanation:

Find two points on the line

(0,-5) and (2,-6)

Using the slope formula

m = (y2-y1)/(x2-x1)

   = (-6 - -5)/( 2-0)

   ( -6+5)/( 2)

     -1/2

What is an algebraic expression for each word phrase? a. 11 more than twice a number x b. 2 less than the quotient of 5 and a number x c. The product of 4 and the sum of a number x and 8

Answers

Answer:

a.) 11>2x.

b.) 2<5÷x.

c.) 4(x+8).

The word phrases into an algebraic expression will be 2x + 11, 5/x - 2, and 4(x + 8).

How to convert the sentence into an expression?

The act of converting a specified statement into an expression or equation is known as a sentence-to-equation transformation.

Convert all the word phrases into an algebraic expression. Then we have

a. 11 more than twice a number x. Then we have

⇒ 2x + 11

b. 2 less than the quotient of 5 and a number x. Then we have

⇒ 5/x - 2

c. The product of 4 and the sum of a number x and 8. Then we have

⇒ 4(x + 8)

The word phrases into an algebraic expression will be 2x + 11, 5/x - 2, and 4(x + 8).

More about the conversion of sentences into equation link is given below.

https://brainly.com/question/10606712

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why isn’t 3/4 a integer? answer asap pls

Answers

Answer: integer's are whole  numbers so a fraction,decimal and negitive numbers aren't integer's

Step-by-step explanation:

Three equivalent ratios are shown on the graph. On a coordinate plane, points (1, 0.5), (2, 1), and (5, 2.5) are plotted. Starting on one of the plotted points, how can you plot more equivalent ratio points? Move up one and right one and one-half. Move up one and one-half and right three. Move up two and right three. Move up one-half and right two

Answers

Answer:

Move up one half and right two.

Step-by-step explanation:

trust

Answer:

move on up one and right two

Step-by-step explanation:

p = q/4 -r solve for q

Answers

Answer:

4(p+r) = q

Step-by-step explanation:

p = q/4 -r

Add r to each side

p+r = q/4 -r+r

p+r = q/4

Multiply each side by 4

4(p+r) = q/4*4

4(p+r) = q

∠1 and ∠2 are vertical angles. If the measure of ∠2 is 105°, find the measure of ∠1.

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{105°}}}}}[/tex]

Step-by-step explanation:

Given, < 2 = 105°

To find : < 1

When two lines interest the angles formed opposite to each other are called vertically opposite angles. Vertically opposite angles are always equal to each other.

So,

<1 = 105 °

Hope I helped!

Best regards!

Answer:

[tex]\Huge \boxed{\angle 1 = 105 \° }[/tex]

Step-by-step explanation:

[tex]\angle 1[/tex] and [tex]\angle 2[/tex] are vertical angles.

[tex]\angle 2= 105 \°[/tex]

Vertical angles are equal in measure.

[tex]\angle 1= \angle 2[/tex]

[tex]\angle 1= 105 \°[/tex]

Convert the following:
4 quarts is equivalent to
0 liters (rounded to the hundredth)

Answers

Answer:

3.79 liters

Step-by-step explanation:

2 quarts equals 1.89 so 2×2 = 3.79

Solve the equation. Enter only the number into the box below.
22 = 18 + x

Answers

Answer:

x=4

Step-by-step explanation:

22 = 18 + x

Subtract 18 from each side

22-18 = 18-18 + x

4 =x

The answer will be X=4 because
4+18=22

Please answer these questions and the photo is above and please show the simple work

Answers

I'm not going to answer the questions for you. Instead I will give you stuff taht will help you solve the problems.

A negative divided/multiplied by another negative will be positive

A negative divided/multiplied by a positive will be negative

Good luck with your math hw! If you need more help, just comment!

The mapping diagram shows a functional relationship Complete the statements f(4) is Domain Range f(x) = 4 when x is. ​

Answers

Answer:

f(4) is 1/2

f(x)= 4 when x is 8

The complete statements would be as:

function f(4) is 1/2 and function f(x) = 4 when domain x is 8.

What are the domain and range of the function?

The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.

We have been given that the mapping diagram shows a functional relationship.

To determine the value of f(4)

As per the given functional relationship,

If the value of the domain is 4 then the value of the respective range would be 1/2.

Therefore, the function f(4) would be 1/2.

To determine the value of x,  when f(x) = 4

As per the given functional relationship,

If the value of the range is 4 then the value of the respective domain would be 8.

Therefore, x would be 8 if function f(x) = 4 .

Hence, the complete statements would be as:

f(4) is 1/2 and f(x) = 4 when x is 8.

Learn more about the domain and the range here:

brainly.com/question/21027387

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A line with a slope of 3 passes through (2,5). Which choice is an equation of this line? Please help

Answers

Answer:

Top right.

Step-by-step explanation:

So we want a line with a slope of 3 and passes through (2,5).

To do so, we can use the point-slope form.

The point-slope form is:

[tex]y-y_1=m(x-x_1)[/tex]

m is the slope and x₁ and y₁ is an ordered pair.

Thus, let m be 3, y₁ be 5, and x₁ be 2. Thus:

[tex]y-5=3(x-2)[/tex]

Our answer is the top right :)

Answer:

Answer:

Top right.

Step-by-step explanation:

So we want a line with a slope of 3 and passes through (2,5).

To do so, we can use the point-slope form.

The point-slope form is:

m is the slope and x₁ and y₁ is an ordered pair.

Thus, let m be 3, y₁ be 5, and x₁ be 2. Thus:

Our answer is the top right :)

Step-by-step explanation:

At what speed does the pitcher's arm rotation in degrees-s?

Answers

Answer:

7000 degrees per sec

Step-by-step explanation:

If the arm goes 7 degrees per ms to get how many degrees it goes per sec, just multiply by 1000.

Tim's phone service charges $27.22 plus an additional $0.15 for each text message sent per month. If Tim's phone bill was $30.97, which equation could be used to find how many text messages, x, Tim sent last month? A. $0.15x + $27.22 = $30.97 B. $27.22x - $0.15 = $30.97 C. $27.22x + $0.15 = $30.97

Answers

Answer:

A) $27.22 + $0.15x = $30.97

Step-by-step explanation:

Answer:

The answer would be  A. $0.15x + $27.22 = $30.97

Step-by-step explanation:

Simplify the expression: 5^2 - 3 * 6 A)7 B)24 C)132 D)144

Answers

Answer:

7

Step-by-step explanation:

5^2 = 5 x 5 = 25

3 x 6 is 18

25 - 18 is 7

also, use PEMDAS

Answer:

The answer is 7.

5^2-3×6.

25-18=7.

convert 18 celsius to Fahrenheit

Answers

Answer:

It's 64 degrees

Step-by-step explanation:

multiply the temperature in degrees Celsius by 2 then add 30 to get the estimated temperature

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