A digital rain gauge has an outdoor sensor that collects rainfall and transmits data to an indoor display. Assume you produced a graph of all the data collected by the rain gauge over a 24-hour period. a. Would that graph be a discrete graph or a continuous graph? Explain your reasoning. b. b. Describe the general shape of the graph assuming it rained at a rate of 0.1 inch per hour for the entire 24-hour period. c. c. Describe the general shape of the graph assuming it rained 0.1 inch per hour for 6 hours, stopped raining for 6 hours, and then rained 0.2 inch for 12 hours.

Answers

Answer 1

Answer:

a. A continuous graph

b. a straight line graph with a gentle positive slope

c. The graph consists of three straight lines attached end to end, with the first segment being an inclined positively sloped graph, the second segment is an horizontal line while the third segment is a gentle positively sloped straight line

Step-by-step explanation:

a. A continuous graph

Given that the rain gauge is a digital rain gauge, the values transmitted to the indoor display are those collected by the outdoor sensor, we have that the output to the transmitter can be any value within a possible and finite range of values, therefore the graph is continuous

b. Whereby it rained at a constant rate of 0.1 inch per hour over 24-hour period, we have;

i) Whereby the graph is the level of water in the rain gauge over a given period of time, the shape of the graph will be a straight line graph with a gentle positive slope of 0.1 the domain will be from 0 to 24 hours, while the range will be from 0 to 2.4 inches

c) i) Given that i) the rain falls at a constant rate of 0.1 inch per hour for 6 hours, and ii) over the next 6 hours it stops raining, after which iii) it rained 0.2 inch for the next 12 hours, we have;

i) In the first part The graph will be a straight line graph with a gentle positive slope of 0.1, up to the point (6, 0.6)

ii) When the rain stops for 6 hours, from the point (6, 0.6) to the point (12, 0.12) the graph will be an horizontal line

iii) From the point (12, 0.12) to the point (24, 0.24), is represented on the graph by a straight  line with a gentle positive slope of 0.2.


Related Questions

PLEASE ANSWER Quickly!

Find the equation of the line

Y= __x + __

Answers

Answer:

y= -x+5

Step-by-step explanation:

→first you need to identify 2 points. I'm using (5,0) and (0,5)

→second you need to find the slope using y2-y1/x2-x1 as your formula

5-0/0-5= 5/-5=-1

→then you need to use y-y1=m(x-x1) formula

y-0=-1(x-5)

(distribute the -1)

y-0= -1x+5 (+5 because a negative times a negative is a positive)

(combine like terms)

y= -1x+5

→once you solve you get y= -x+5

It’s actually
Y= X-5
It’s bit -x because it’s not facing the left and it’s -5 because the line is intercepting the y axis at -5
So your answer is
Y=X-5

Lines x and y intersect to make two pairs of vertical angles, q, s and r, t. Fill in the blank space in the given proof to prove ∠q ≅ ∠s. A) Transitive property B) Addition property of equality C) Subtraction property of equality D) Substitution property

Answers

Answer:

C) Subtraction property of equality.

Step-by-step explanation:

Given that, two lines [tex]x[/tex] and [tex]y[/tex] intersect to make pairs of vertical angles:

[tex]\angle q, \angle s[/tex] and [tex]\angle r, \angle t[/tex].

Kindly refer to the attached image for details of the given angles and lines.

Proof that [tex]\angle q\cong \angle s[/tex] :

[tex]\begin{center}\begin{tabular}{ c c}Statements & Reasons \\ m\angle q+m\angle r=180^\circ & \angle q\ and\ \angle r\ are\ supplementary \\ m\angle r+m\angle s=180^\circ & \angle r\ and\ \angle s\ are\ supplementary \\ \angle q+\angle r=\angle q+\angle r & Algebraic substitution \\ m\angle q = m\angle s & Subtraction property of equality\end{tabular}\end{center}[/tex]

Here, subtraction property of equality is used in the last step shown in the above.

As per the Subtraction property of equality, when some value is subtracted from both the sides of the equality, equality remains the same.

Answer:

C

Step-by-step explanation:

Because I am a genius

Bennett has been practicing the cello for an hour each day. 3/4of the hour, he spends practicing musical pieces in preparation for his upcoming orchestra concert. He spends the other 1/4of the hour practicing scales. If he spends 2/5of his practice time on musical pieces playing one of the orchestra pieces, Excerpts from Pirates of the Caribbean, how much of the hour does he spend playing that music?

Answers

Answer:

[tex]Orchestral\ Time = \frac{3}{10}\ hour[/tex]

Step-by-step explanation:

Given

[tex]Time = 1\ hour[/tex]

[tex]Musical\ Pieces = \frac{3}{4}\ hour[/tex]

[tex]Practicing\ Sales = \frac{1}{4}\ hour[/tex]

Orchestral = [tex]\frac{2}{5}[/tex] of music practice time

Required

Determine time spent on orchestral pieces

From the given parameters, we have:

Orchestral = [tex]\frac{2}{5}[/tex] of music practice time

Substitute [tex]\frac{3}{4}\ hour[/tex] for music practice time.

So, we have:

[tex]Orchestral\ Time = \frac{2}{5} * \frac{3}{4}\ hour[/tex]

[tex]Orchestral\ Time = \frac{1}{5} * \frac{3}{2}\ hour[/tex]

[tex]Orchestral\ Time = \frac{3}{10}\ hour[/tex]

7s+5c=181.40
9s+1c=132.80

Answers

Answer:

s=12.7

c=18.5

hope this helps :)

What is the value of X?
A.11
B.9
C.7
D.6

Answers

Answer:

x=6

Step-by-step explanation:

10x+21x-6=180 ( straight angle)

31x=180+6

x=186/31

x=6


Four friends stay at the Pickled Parrot Hotel for a night and each
have an evening meal. Bed and Breakfast costs £37 per person and
the evening meal costs £15 per person. How much is the total cost,
if a service charge is added at 171/2%?​

Answers

Answer:

total cost is £244.4

Step-by-step explanation:

( 37 * 4 ) + ( 15 * 4 ) = 208

208 * .175 = 36.4

208 + 36.4 = 244.4

HOPE THIS HELPS

3p^2-24+36
factorise with appropriate identity​

Answers

Answer:

3(p^(2)+4)

Step-by-step explanation:

i need help with fractions :(

Answers

Answer:

x = 0, Need the steps?

STEPS:

9x - 7 = -7 (Original Problem)

9x = 0 (Add 7 to both sides)

x = 0 (Divide both sides by 9)

Answer:

Step-by-step explanation:

(3) 9x-7=7

First multiply 3 by 9x to get 27x

27x-7=7

Then add 7 to both sides

27x-7+7=7+7

27x=14

27x/27=14/27

x=14/27

Rewrite equation y=-2/3x+4 in standard form

Answers

Answer: 2x+3y=12 I believe

The equation in standard form is 2x + 3y = 12

ok there’s the science slides , and i think they are quite easy i just need some help bc im lazy . ik this is the math thing but

Answers

Answer:

just look up the answers on google

Step-by-step explanation:

Plz Help Ill give brainliest
What is the midpoint of the line segment with the given endpoints?

(−7, 3) and (13, −9)

Answers

Answer:

3, -3

Step-by-step explanation:

Which is NOT true?
A
15 = 15
B
15 = 18 - 3
C
15 + 3 = 11 + 7
D
15 + 3 = 15 + 13

Answers

Answer:

D 15 +3=15+13

Step-by-step explanation:

Expression 15 + 3 = 15 + 13 is not true because left hand side is not equal to right hand side. Option D is correct.

Given that,
From options
A. 15 = 15  B. 15 = 18 - 3  C. 15 + 3 = 11 + 7  D.15 + 3 = 15 + 13

What is simplification?

The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.

What is arithmetic?

In mathematics, it deals with number of operations according to the statements

In the question is to be determined which is not true, by analyzing that LHS and RHS of the expression should be equal

A. 15 = 15
   LHS = RHS


B. 15 = 18 - 3
 LHS = RHS

C. 15 + 3 = 11 + 7  
       LHs = RHS

D.15 + 3 = 15 + 13
        18 ≠ 28
     LHS ≠ RHS

Thus, 15 + 3 = 15 + 13 is not true. Option D is correct.

Learn more about simplification here: https://brainly.com/question/12501526

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What is the word name for 716,270,408?

Answers

Answer:

Seven hundred sixteen million, two hundred seventy thousand, four hundred eight

Step-by-step explanation:

Answer:

seven hundred sixteen million two hundred seventy thousand four hundred and eight

Step-by-step explanation:

Consider the function rule: y = 9x – 7
What is the value of y when x=4?
What is the value

Answers

The value of y is 29

Since x=4, put 4 in 9x

y = 9(4) - 7
y = 36 - 7
y = 29

If using the method of completing the square to solve the quadratic equation x^2-15x-10=0, which number would have to be added to complete the square

Answers

Answer:

            [tex]\bold{\dfrac{225}4}[/tex]

Step-by-step explanation:

[tex]x^2-15x-10=0\\\\x^2-2\cdot x\cdot\frac{15}2+(\frac{15}2)^2-(\frac{15}2)^2-10=0\\\\(x-\frac{15}2)^2-\frac{225}4-10=0[/tex]

So to complete the square we need to add (and subtract) the number  [tex]\frac{225}4[/tex]

Which relation is also a function?
{(-1, 3), (0, 2), (3, -1), (3, 2)} {(2,-4), (2,-2), (2, 1), (2, 3)}
{(0, 3), (1, 2), (1, 4), (2.1)}
{(-4,-3), (0.-3). (1, -3), (4, -3)}

Answers

Answer:

{(-4,-3), (0, -3,) (1, -3), and (4,-3)}

Step-by-step explanation:

There can only be one y- output for each x-input. Every other answer is a relation because there are multiple y-values for an x-value.

Answer:

The second one.

Step-by-step explanation:

A function can have two of the same inputs, but not two of the same outputs.

In the first one, the output 2 is found more than once.

In the third one, the output -3, is also found more than once.

The second one has completely unique numbers for both the input and output.

help !! will mark brainliest

Answers

Answer:

The answer is b your welcome

What is the range of the following graph?

Answers

Answer: 6

Step-by-step explanation: 8 - 2 = (6) Range is the difference between the highest and lowest number just for future references. Hope this helped! :)

Answer: i think is 8 also that person already explain

Step-by-step explanation: have a nice day

just help and explain so i can understand!!

Answers

Answer:

‒6

Step-by-step explanation:

‒2‒4=‒6

or this means when you borrow 2$from one person&4$ from other person,then totally you have borrowed 6$. &borrow also expressed by‒ve

anyway you can understand as you want as you like

i think it is clear

i hope you understand me what i am saying

Solve for x plz show all the work. x/3=6

Answers

Answer: x=18

Step-by-step explanation:

X/3=6

We want to get x alone so we multiply both sides by 3

X=18

A rectangular park 40 yards wide was redesigned, and a path 1 yard wide was built around it. How long was the park before if, after the path was built, its area became 4200 square yards?

Answers

Answer:

98 yards

Step-by-step explanation:

The new width is 40 yds + 2 yds = 42 yds.

Area = L × W

4200 square yds = L × 42 yds

L = 4200 yds ÷ 42 yds = 100 yds

The new length is 100 yds.

The old length = the new length - the width of the path × 2 = 100 yds - 1 yd × 2 = 100 yds - 2 yds = 98 yds.

The length of the park was 98 yds, before the path was built.

Answer:

98 yards

Step-by-step explanation:

First we will list our values

new w: 42

old w: 40

old l: x

new l: x+2

we are adding 2 to the new values as there is 1 yard on either side

now we will find the new area:

42 * (x+2) =4200

42x+84=4200

42x=4116

x=98

Part A: If (6^2)^x = 1, what is the value of x? Explain your answer.

Part B: If (6^0)^x = 1, what are the possible values of x? Explain your answer.

Answers

Step-by-step explanation:

A.

[tex](6^2)^x=1\\\\36^x=1\\\\36^x=36^0\Rightarrow x=0[/tex]

Every number to the power of 0 gives us 1

[tex]a^0=1\ \text{for}\ a\in\mathbb{R}[/tex]

B.

[tex](6^0)^x=1\\\\1^x=1\\\\x\in\mathbb{R}[/tex]

1 to the any power gives us 1.

[tex]1^n=1\ \text{for}\ n\in\mathbb{R}[/tex]

You have prizes to reveal! Go to your game board.
A hummingbird lives in a nest that is 12 feet high in a tree. The hummingbird flies 13 feet to
get from its nest to a flower on the ground. How far is the flower from the base of the tree?

Answers

Answer:

1 foot?

Step-by-step explanation:

You subtract 13 from 12 to get the base divider.

The elevator that takes passengers from the lobby of the John Hancock Centre in
Chicago to the observation level travels 300 feet in 5 seconds. The observation level
is located on the 100th floor, at 1200 feet above the ground. Find the time it takes
the elevator to travel from the lobby to the observation level. (4)

Answers

Answer:

20 seconds

Step-by-step explanation:

s = Distance traveled by elevator = 300 ft

t = Time taken = 5 seconds

Velocity is given by

[tex]v=\dfrac{s}{t}\\\Rightarrow v=\dfrac{300}{5}\\\Rightarrow v=60\ \text{ft/s}[/tex]

Distance to the observation level from the lobby = 1200 ft

Time taken is given by

[tex]t=\dfrac{1200}{60}\\\Rightarrow t=20\ \text{s}[/tex]

Time taken to reach the observation level from the lobby is 20 s.


In the past month, Kaitlin rented 3 video games and 6 DVDs. The rental price for each video game was $2.60. The rental price for each DVD was $3.30. What is
the total amount that Kaitlin spent on video game and DVD rentals in the past month?

Answers

Kaitlin rented 3 video games and 6 dvds.

2.60 x 3 = 7.50 (dollars and cents)

3.30 x 6 = 19.80 (dollars and cents)

add them together to get the total cost in the past month.

(to find the answer you know the price for a single video game/DVD so what you do is multiply those prices times how much they bought)

ex: $2.60 x 3 <-- the amount of games she bought.

i hope this helps you.

Answer:

Kaitlin spent $27.60 on video games and DVDs in the past month.

Step-by-step explanation:

We know the price of one video game, one DVD, and the amount that was rented in the past month.  

To find the total cost of the video games, multiply:

$2.60 x 3

= $7.80 spent on video games in the past month

To find the total cost of the DVDs, multiply:

$3.30 x 6

= $19.80 spent on DVDs in the past month

To find the total cost, add the total cost of video games and DVDs together:

$7.80 + $19.80 = $27.60

Conclusion: Kaitlin spent $27.60 in the past month on video games and DVDs.

What is the slope of a line that is parallel to the graph of 2x+3y=5?​

Answers

Answer:

2/3

Step-by-step explanation:

I checked on desmos.

2 (k + 2) = 8k - 5 - 3k

Answers

Answer:

k=3

Step-by-step explanation:

Answer:k=3

Step-by-step explanation:

what is 300 × = 120,000
there is nothing between the × and = cuz its asking me 300× what = 120,000.

Answers

The answer is 400

First, you must flip the equation.

[tex]120000[/tex] ÷ [tex]300[/tex] = ?

Then, you must simplify the equation.

[tex]1200[/tex] ÷ [tex]3[/tex] = ?

Finally, divide the two terms.

[tex]1200[/tex] ÷ [tex]3[/tex] = 400

+54- -75 what the answer

Answers

Answer:

-21

Step-by-step explanation:

positive 54 decreased negative 75. The answer is -21. why? Because the negative variables is higher than the positive variable in the given.

Answer:

129

Step-by-step explanation:

+54- -75

54+75=129

When you are subtracting 54- -75, the symbols will automatically change to postives.

You could also use the method:

Keep, change, change

54          +            +75

The price of an item has risen to $279 today yesterday it was $180 find the percentage increase

Answers

Answer:

99%

Step-by-step explanation:

The percentage increase of the given item is 55.56%.

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

For example, If Misha obtained a score of 67% on her exam, that corresponds to 67 out of 100. It is expressed as 67/100 in fractional form and as 67:100 in ratio form.

The price of an item has increased to $279 today yesterday it was $180

The percentage increase can be calculated by:

(Current price - Original price) / Original price x 100 = Percentage increase

As per the question, we have to substitute the values to get:

⇒ (279 - 180) / 180 x 100 = 55.56%

Therefore the percentage increase is 55.56%.

Learn more about the percentages here:

brainly.com/question/24159063

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