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.
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.
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]
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?
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
Solve for x plz show all the work. x/3=6
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
What is the word name for 716,270,408?
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:
Which is NOT true?
A
15 = 15
B
15 = 18 - 3
C
15 + 3 = 11 + 7
D
15 + 3 = 15 + 13
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
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.
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
#SPJ2
7s+5c=181.40
9s+1c=132.80
Answer:
s=12.7
c=18.5
hope this helps :)
What is the value of X?
A.11
B.9
C.7
D.6
Answer:
x=6
Step-by-step explanation:
10x+21x-6=180 ( straight angle)
31x=180+6
x=186/31
x=6
Plz Help Ill give brainliest
What is the midpoint of the line segment with the given endpoints?
(−7, 3) and (13, −9)
Answer:
3, -3
Step-by-step explanation:
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)}
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.
what is 300 × = 120,000
there is nothing between the × and = cuz its asking me 300× what = 120,000.
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
help !! will mark brainliest
Answer:
The answer is b your welcome
Rewrite equation y=-2/3x+4 in standard form
Answer: 2x+3y=12 I believe
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%?
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
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
Answer:
just look up the answers on google
Step-by-step explanation:
3p^2-24+36
factorise with appropriate identity
Answer:
3(p^(2)+4)
Step-by-step explanation:
The price of an item has risen to $279 today yesterday it was $180 find the percentage increase
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 $180
The percentage increase can be calculated by:
(Current price - Original price) / Original price x 100 = Percentage increase
As per the question, we have to substitute the values to get:
⇒ (279 - 180) / 180 x 100 = 55.56%
Therefore the percentage increase is 55.56%.
Learn more about the percentages here:
brainly.com/question/24159063
#SPJ2
i need help with fractions :(
Answer:
x = 0, Need the steps?
STEPS:
9x - 7 = -7 (Original Problem)
9x = 0 (Add 7 to both sides)
x = 0 (Divide both sides by 9)
Answer:
Step-by-step explanation:
(3) 9x-7=7
First multiply 3 by 9x to get 27x
27x-7=7
Then add 7 to both sides
27x-7+7=7+7
27x=14
27x/27=14/27
x=14/27
What is the slope of a line that is parallel to the graph of 2x+3y=5?
Answer:
2/3
Step-by-step explanation:
I checked on desmos.
just help and explain so i can understand!!
Answer:
‒6
Step-by-step explanation:
‒2‒4=‒6
or this means when you borrow 2$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
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
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
PLEASE ANSWER Quickly!
Find the equation of the line
Y= __x + __
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
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)
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.
+54- -75 what the answer
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
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?
Answer:
1 foot?
Step-by-step explanation:
You subtract 13 from 12 to get the base divider.
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
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]
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?
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.
Consider the function rule: y = 9x – 7
What is the value of y when x=4?
What is the value
What is the range of the following graph?
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
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?
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]
2 (k + 2) = 8k - 5 - 3k
Answer:
k=3
Step-by-step explanation:
Answer:k=3
Step-by-step explanation: