Answer:
13500
Step-by-step explanation:
4,500 miles per 10 mintues and you need to find it for half an hour so
4500x3=13500
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
what is the quotient of 0.12/24.12
Answer:
0.00497512437
Step-by-step explanation:
but make sure to round it. it should be 0.005 rounded to the nearest thousandth place but make sure if im correct im not too sure.
Please help, I will mark brainliest!
Answer the question above
Answer:
it is C.
Step-by-step explanation:
A recipe used 1/2 cup of sour cream for every 1/4 teaspoon of salt. What is the unit rate of teaspoons of salt per cup of sour cream?
Answer:
1/2 teaspoons of salt per cup of sour cream
Step-by-step explanation:
multiply 1/2 and 1/4 by 2 to get 1 and 1/2. Since the question is teaspoons of salt per cup of sour cream, flip the numbers to get 1/2 teaspoons of salt per 1 cup of sour cream.
What is the least common denominator of the equation StartFraction 2 Over 9 EndFraction x + two-thirds x = 7? 3 9 27 63
Answer:
9
Step-by-step explanation:
i just did my test and i checked and it was right
Answer:
The answer is 9
Step-by-step explanation:
Just did the test and I got 100%
Simplified or expanded version of 8(4x-12)
Answer: 32x - 96
Step-by-step explanation: If I’m not wrong, that’s the answer. You distribute the 8 to each of the numbers, so you multiply. 8 multiplied by 4x would be 32x. 8 multiplied by 12 is 96. You then put the subtraction sign in. You could also think of it as 8 times -12. That’ll still get you -96. It would be 32 and the negative 96, so it seems like the negative is the subtraction sign. I suck at explaining, but I hope thing helps
Which table represents a nonlinear function?
A.
x y
2 -9
4 1
6 11
B.
x y
2 -14
4 -16
6 -18
C.
x y
2 0
4 6
6 16
D.
x y
2 -9
4 -6
6 -3
Answer:
C. 2 -9
4 -6
6 -3
Step-by-step explanation:
Answer:c
Step-by-step explanation:
A line passes through the point (4, -6) and has a slope of -3/4. Which is the equation of the line
Answer:
A: y=-3/4x -3
Step-by-step explanation:
On a coordinate plane, 2 dashed straight lines are shown. The first line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything to the right of the line is shaded. The second line has a negative slope and goes through (negative 2, 0) and (2, negative 4). Everything to the right of the line is shaded. Which linear inequality is graphed with y > –x – 2 to create the given solution set? y > x + 1 y x – 1 y < x + 1
Answer:
The linear equality y>x+1 is the right answer.
Answer:
The linear equality y>x+1 is the right answer.
Step-by-step explanation:
Help me pls what is the perpendicular line
Answer:
-2
Step-by-step explanation:
a 10 miles per hour
b 15 miles per hour
c 30 miles per hour
d 65 miles per hour
====================================================
Explanation:
The equation d = 65t means that the rate is r = 65. So Malcolm's family travels at an average rate of 65 mph. Note this is the slope of the line.
The graph has a slope of 50 because each time we go up 50, we move to the right 1. Ie, slope = rise/run = 50/1 = 50. You could use the slope formula to get the same result.
Since the graph has a slope of 50, this means Theo's family is going at an average speed of 50 mph.
Subtract the two speeds to get 65-50 = 15 mph
y - 3 = -2 ( x + 5 ) in standard form
Answer:
2x + y = -7
Step-by-step explanation:
Standard form is Ax + By = C
A represents the coefficient with x
B represents the coefficient with y
C represents the constants
1 - Rewrite to make it easier to work it out
y - 3 = -2 ( x + 5 )
2 - Distribute
y - 3 = -2x - 10
3 - Get the variables on one side and the constants on the other
y - 3 = -2x - 10
+ 2x + 2x
2x + y - 3 = -10
+ 3 + 3
2x + y = -7
Hope this helps,
What is the answer to 2r – 1 ≥ ‐3(r + 7)?
Answer:
r>−4
Step-by-step explanation:
Write the vocabulary word for this definition:
The number of units or spaces away a number is from zero
Answer:
i am not sure but may be ...absolute value
which number is bigger 1.59 or 1.955
Answer:
1.955 is bigger
Step-by-step explanation:
1.955>1.59
Answer:
1.955
Step-by-step explanation:
This is because the number after the decimal in 1.955 is 9, which is bigger than the 5 shown in 1.59
what is the absolute value of │38│
Answer:
38
Step-by-step explanation:
if there are bars around it its automatically positive even if it was -38 the absolute would still be 38.
Answer: 38
Step-by-step explanation: The absolute value of a number
is that number's distance from zero on a number line.
Since 38 is 38 units from zero, the absolute value of 38 is just 38.
HELP PLEASE!! I NEED TO GET THIS TURNED IN
Answer:
the 10.5
Step-by-step explanation:
it is lower than the other cost if it is multiplied by three and bigger amount than the other if multiplied by three
PLEASE HELP ;)
Who did it right?
Find the slope of the line perpendicular to 2x+3y=8
Answer:
Marissa.
Step-by-step explanation:
To find perpendicular slope you basically take the slope of the given line and reverse whatever sign it had previously. (If it was negative, it would become positive. If it was positive it would become negative.)
By doing -A/B it make the previous slope negative.
Brandon only flipped the fraction which would just result in the slope being slightly steeper, or in this case, less steep than the previous line, rather than making it perpendicular.
Hope this helps! Stay safe and if you have any questions feel free to ask!
I need help just say the answer that’s all I need
Step-by-step explanation:
sorry I m not able to understand the question thank you for extra points
Two forces act on a body so the resultant is a force of 68.3 pounds. The angles between the resultant and the forces measure 46 degrees and 38 degrees.
Answer:
A
Step-by-step explanation:
Use the equation given for sin
There are three positive consecutive integers where the first number times the second number is 7 more than the third number. Find the sum of all 3 integers.
Given that,
The three numbers are consecutive
The three numbers are
x
x + 1
x + 2
Also,
x × (x + 1) = (x + 2) + 7
x² + x = x + 9
x² + x - x = 9
x² = 9
x = √9
x = 3
The three numbers
x = 3
x + 1 = 4
x + 2 = 5
The sum of the three numbers
3 + 4 + 5 = 12
A partial proof was constructed given that MNOP is a parallelogram.
Which statement should fill in the blank in the last line of the proof?
A. angle M is supplementary to angle O.
B. angle N is supplementary to angle P.
C. angle M is congruent to angle P
D. angle N is congruent to angle P.
Answer:
B
Step-by-step explanation:
B. angle N is supplementary to angle P
Answer:
B
Step-by-step explanation:
Amica surveyed 100 students in sixth grade about their favorite sports.
1\5 of the students said basketball was their favorite sport
3/4of the students said baseball was their favorite sport
• The remaining students said they didn't like any sports
How many students said they didn't like any sports
0 75
O 20
O 55
O 5
Answer:
5
Step-by-step explanation:
Add 1/5 + 3/4. Answer: 19/20 likes sports.
Which of the following volumes represent a perfect cube? Check all that apply. 1 in.3 4 in.3 8 in.3 12 in.3 25 in.3 27 in.3 64 in.3
Answer:
A, C, F, G (1 in.^3, 8 in.^3, 27 in.^3, 64 in.^3.)
Step-by-step explanation:
Answer:
A
C
F
G
Step-by-step explanation:
I got it right on the question.
Sarah uses long division to convert a rational number x/y to its decimal form. Which of the following statement cannot be true?
PLEASE HELP WITH THIS, ITS FOR A TESTTT
Answer:
The answer is C
Step-by-step explanation:
Distribute first then combine like terms
The amount of paper that the copy shop used this month was a 25% increase of the amount of paper they used last month. What percent represents the amount of paper used this month? *
Answer:
You didn't include any image here, but numerically, the amount of paper consumed this month is 125% compared to last month.
If last month's consumption is represented by 4 equal shapes, then the current month's consumption will be 5 shapes.
If last month's consumption is represented by 8 equal shapes, then the current month's consumption will be 10 shapes.
this pattern keeps repeating.
PLEASE HELP I AM BEHIND!!!!
If the solution to an equation is x = −5, what could the original equation be?
A. x + 3 = 8
B. x − 3 = 8
C. x + 8 = 3
C. x − 8 = 3
(sorry if this is easy for you, I'm bad at math.)
Answer:
The answer is c definitely
Answer:
C. x + 8 = 3
Step-by-step explanation:
x + 8 = 3
x + 8 - 8 = 3 - 8 ( so do the same thing you do on both the left and right side )
x = -5
So C is correct but you can always say 3 - 8 to figure out that the answer in c is the right one.
HOPE THIS HELPED
a computer backs up 324 megabytes of data in 5 minutes. WRITE AN EQUATION that represents the number of megabytes, m, that can be backed up in (t) minutes.
Answer:
64.8 x t = m
Step-by-step explanation:
324 / 5 = 64.8 :64.8 megabytes are produced every 1 minute
64.8 x t = m