Answer:
0.88888889
Step-by-step explanation:
30. The table below shows the average temperature of a lake in months since April in a certain year. Find
the equation for the curve of best fit using a quadratic model, then predict the average temperature of
the lake during December of the same year. Round all answers to the nearest hundredth.
Month
Temp (°F)
April
59
May
68
June
71
July
78
August
74
1
Answer:
The temperature, in December is 47 °F
Step-by-step explanation:
The given data for the temperature are;
Month [tex]{}[/tex] Temp (°F)
April [tex]{}[/tex] 59
May [tex]{}[/tex] 68
June [tex]{}[/tex] 71
July [tex]{}[/tex] 78
August [tex]{}[/tex] 74
Let x represent the month, and f(x) = y represent the temperature, we have;
y = a·x² + b·x + c
When x = 1, we have, f(1) = a·1² + b·1 + c = 59
f(1) = a + b + c = 59...(1)
When x = 2, we have, f(2) = a·2² + b·2 + c = 68
f(2) = 4·a + 2·b + c = 68...(2)
When x = 3, we have, f(3) = a·3² + b·3 + c = 71
f(3) = 9·a + 3·b + c = 71...(3)
When x = 4, we have, f(4) = a·4² + b·4 + c = 78
f(3) = 16·a + 4·b + c = 78...(4)
When x = 5, we have, f(5) = a·5² + b·5 + c = 74
f(3) = 25·a + 5·b + c = 74...(5)
Subtracting equation (3) from equation (5), we get;
25·a + 5·b + c - (9·a + 3·b + c) = 74 - 71
16·a + 2·b = 3...(6)
Subtracting equation (1) from equation (2), we get;
4·a + 2·b + c - (a + b + c) = 68 - 59
3·a + b = 9...(7)
Multiply equation (7) by 2 and substract from equation (6) gives;
16·a + 2·b - 2 × (3·a + b) = 3 - 2 × 9
16·a + 2·b - 6·a - 2·b = 3 - 2 × 9
16·a - 6·a + 2·b - 2·b = 3 - 2 × 9 = -15
10·a = -15
a = -15/10 = -1.5
a = -1.5
From, 3·a + b = 9, we have;
3 × (-1.5) + b = 9
b = 9 + 4.5 =13.5
b = 13.5
From, a + b + c = 59, we have;
-1.5 + 13.5 + c = 59
c = 59 - (-1.5 + 13.5) = 47
c = 47
The quadratic equation becomes, y = a·x² + b·x + c = -1.5·x² + 13.5·x + 47
f(x) = y = -1.5·x² + 13.5·x + 47
For December, we have, x = 9, and f(x) = -1.5×9² + 13.5×9 + 47 = 47
The temperature, in December = 47 °F
Which situation represents an example of a non-proportional relationship?
A. A restaurant charges $1.75 for each soft drink.
B. A cell phone company charges customers 10 cents per text sent or received.
C. A gym charges a membership fee of $50, plus a monthly charge of $20 per month.
D. A dog walker charges $10 to walk one dog for 30 minutes.
Option c is the correct answer. A gym charges a membership fee of $50, plus a monthly charge of $20 per month.
What is a proportional relationship?Relationships between two variables that are proportional occur when their ratios are equal. Another way to consider them is that in a proportionate relationship, one variable is consistently equal to the other's constant value. That constant is known as the "constant of proportionality".
So a non-proportional relationship is basically a line that does not cross the origin of a graph. So using the linear exhaustion of a line, y=mx+b, a proportional relationship would be something along the lines of y=mx+0 because b, which is the w intercept is 0. I
Having said that, here is the equation for a line:
a) would be y=1.75x (because it is only charging per drink, and nothing else, there is no b value or y-intercept). This means this is a
b) would be y=0.10x (because it is only charging per amount of texts, and nothing else, there is again no b value, so the y-intercept is 0, crossing the origin). (THIS IS ALSO NOT THE ANSWER)
c) y=20x+50 (x is the number of months, which then determine the amount of money you spend at the gym based on how many months you go there. Plus, you have to add in the cost of the gym membership as well, being 50$. So, in this case, because 50 is being added to the 20x, the b value or y-intercept would be 50.
To know more about proportional relationships follow
https://brainly.com/question/28777033
#SPJ2
what is the slope of y = -x + 7
Answer:
slope m = - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - x + 7 ← is in slope- intercept form
with slope m = - 1
A teacher wrote this expression on the board (-6)(2)+(-8+4)
Answer:
The answer is -16
Step-by-step explanation:
Round 837.6186 to the nearest hundredth. Enter your answer in the space
provided
Answer:
837.62
Step-by-step explanation:
Two decimal places to the right of the decimal is the hundredths place. When we round, we use the number after it to determine the number. 8 is greater than 5, so the 1 after the 6 will turn into a 2.
can you help me with this
Answer:
0.4375
Step-by-step explanation:
All you do is divide the 12 and 1/4 by 28!
Answer:
its answer is 0.4375...
Pls answer I’ll give you brainly
Answer:
D
Step-by-step explanation:
Alexa transports flowers for Rolling Rosie's Garden Center. On her last route, she earned $450.80. If Alexa earned $0.40 for every mile, how far did she drive?
Answer: 1,127 miles
Step-by-step explanation:
450.80/0.40=1,127
−9.76d − (−12.81d) = 8.54
Answer:
d = 2.8
Step-by-step explanation:
−9.76d − (−12.81d) = 8.54
~Simplify
−9.76d + 12.81d = 8.54
~Combine like terms
3.05d = 8.54
~Divide 3.05 to both sides
d = 2.8
Best of Luck!
Approximately how long will it take for $700 to double if it is invested at 4% annual
interest, compounded continuously?
Round your final answer to the nearest whole year and do not label units.
Answer: 17 years
Step-by-step explanation:
Exponential equation for compund amount( compunded continuously):
[tex]A=Pe^{rt}[/tex] , where P= Principal value , r= rate of interest , t= time.
Given: A= 2P
r =4%= 0.04
To find : t
Substitute all values in the formula , we get
[tex]2P=Pe^{0.04t}\\\\\Rightarrow\ 2=e^{0.04t}[/tex]
Taking natural log on both sides
[tex]\ln2=\ln e^{0.04t }\\\\\Rightarrow\ 0.693147=0.04t\\\\\Rightarrow\ t=\dfrac{ 0.693147}{0.04}\\\\\Rightarrow\ t=17.3286\approx17[/tex]
hence, it will take 17 years (approx).
HELPPPPP HURRYYYYYY FASTTTT
Answer:
A.
Step-by-step explanation:
A slope is 2
B slope is -1/2
hope this helps :3
if it did pls mark brainliest
The daily cost of hiring a superhero, y, to work x hours of saving people
can be modeled using a linear function. The superhero charges a fixed
cost of $100 plus an additional $50 per hour. The superhero works a
maximum of 10 hours per day. For one day of work, what is the range of
the function for this situation? *
Answer:
$600
Step-by-step explanation:
50x10=$500
500+100=$600
the fair has a total of 90 rides. 30% of the rides are considered kiddie rides. How many of the fair rides Are not kiddie rides?
Answer:
63
Step-by-step explanation:
70 percent aren't so multiply 90 by 7/10
iv) You have 10 gallons of lemonade to sell (1 gallon = 3785 cm3). Each customer
uses one paper cup. How many paper cups will you need?
Answer:
I'd need to know the size of each paper cup
Answer:
205
Step-by-step explanation:
Is 0.07 equal to 0
.007
Answer:
no
Step-by-step explanation:
Answer:
no its not
Step-by-step explanation:
find the value of x pls help
Answer: 90 degrees
Step-by-step explanation:
It is a right angle which means it is 90 degrees. Plz mark me brainliest
This graph shows the rate of a scuba diver’s ascent to the surface. What does the y-intercept of the graph represent?
Answer: The scuba diver was 35 meters below the surface of the water at the start of the ascent.
Step-by-step explanation:
Q1.is the given value of the variable , s, a solution to the inequality?s > -2.25; s = -2.21.yes 2.no
Q2.which value of the variable is a solution of the inequality?t > -7
1. -9
2. -8
3. -7
4. -6
Answer:
- 6
Step-by-step explanation:
;)
help T^T ion wanna fail this class
The original Ferris wheel, designed by George Ferris in 1892 for the World’s Columbian Exposition in Chicago, had a radius of 125 feet. What was the circumference of the original Ferris wheel?
Answer:
Step-by-step explanation:
The answer is 250 pi
Answer:
r
Step-by-step explanation:
awnser
what is 1+1/0=x
Answer:
0
Step-by-step explanation:
Answer:
x = 1
Step-by-step explanation:
1 + 1/0 = x
-1
1/0 = x
x0
1 = x
Backwards PEMDAS where each thing you do backwards cancles itself out.
Part 5
I have done some of these but I feel unthanked I am going to continue to give pts. These points are for the females because they are strong and smart and good. We men deserve more women like you all. please take these pts. <3
Haha
I appreciate it I guess.
Sunny made 2 pitchers of strawberry smoothies for the science club. If each person got One-fifth of a pitcher, how many science club members are there?
2 area models. Both models are made up of 5 shaded parts.
Which statements are true?Check all that apply.
The correct division problem is One-fifth divided by 2.
The correct division problem is 2 divided by one-fifth.
The quotient isStartFraction 1 Over 10 EndFraction.
The quotient is 10.
There are 10 members in the science club.
There are StartFraction 1 Over 10 EndFraction members in the science club.
Answer:
Answer:
The anwser is 2
Step-by-step explanation:
1 for each person
Answer:
The answers are B, D, and E.
Step-by-step explanation:
After I got it wrong the first two times on edge, It showed me the answer.
Have a good morning/afternoon/evening!
A ticket to see your favorite baseball team costs $43.76. That price decreases by $0.33 for every game lost during the regular season. What equation could you use to find the cost C of a ticket after L losses? Represent the total change in the cost of a ticket after the team loses games. What is the price of a ticket after the team loses games?
Answer:
C=$0.33L-$43.76
I hope this is good enough:
determine the slope of the line that contains (-4,2) and (6,8)
Here is a diagram that describes the cups of green and white paint in a mixture. Select ALL the statements that accurately describe this diagram.
Answer:that’s the answer enjoy
Step-by-step explanation:
Which of the following best defines an output? (4 points)
An output is the value that determines another based on the relation or the function rule, usually the x-values in a set of ordered pairs or on a table or graph.
An output is the result of a relation or the function rule, usually the y-values in a set of ordered pairs or on a table or graph.
An output is a special type of relation for which there is a rule that pairs each input with exactly one output.
An output is a set of ordered pairs in which no y-value repeats.
Answer:
An output is the result of a relation or the function rule, usually the y-values in a set of ordered pairs or on a table or graph.
Usually, output refers to the dependent value of a function rule.
It is also correct that the y coordinate of ordered pairs, graphed points, and in a function table.
Answer:
An output is the result of a relation or the function rule, usually the y-values in a set of ordered pairs or on a table or graph best disfines an output because an input can have multiple outputs like
x y
4 5
3 5
6 5
but a function cannot have the same input with different outputs like
this example shows what is not a function
x y
3 5
3 6
4 79
4 64
this is not a function
Step-by-step explanation:
PLEASE HELP FAST ILL GIVE BRAINLIEST
Answer:
x=12
Step-by-step explanation:
have a good day!
Which graph has a slope of 4/5 ?
Answer:
quadratic
Step-by-step explanation:
maybe you can try searching in google
What is the solution to 2(x-4)=16
Answer:
x=12
Step-by-step explanation:
