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
-2 1/2 divided by 3 1/2 ?
Step-by-step explanation:
[tex] - 2 \times \frac{1}{2} \div 3 \times \frac{1}{2 } \\ - \frac{5}{2} \div \frac{7}{2} \\ - \frac{5}{2} \times \frac{2}{7} \\ = - \frac{5}{7} [/tex]
Students are given 3 minutes to complete each multiple-choice question on a test and 8 minutes for each free-
response question. There are 15 questions on the test and the students have been given 55 minutes to complete it.
Test Time
Number of Time per Item
Questions (minutes)
m
3
15-m
8
15
Multiple Choice
Free Response
Total
Which value could replace x in the table?
Total Time
(minutes)
3m
х
55
7-m
23-m
8(15 - m)
O 8(15) -
Answer:
See below :)
Step-by-step explanation:
The solution is, 12 multiple-choice questions are on the test.
What is simplification?Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
here, we have,
The right answer for the question that is being asked and shown above is that:
m + f = 15 ---> 3m + 3f = 45
3m + 5f = 51
now, we have.
3m + 3f = 45
3m + 5f = 51
-------------------
-2f = -6
f = 3
so, we get,
m + f = 15
m = 15 - 3
m = 12
So the correct answer is 12.
Hence, The solution is, 12 multiple-choice questions are on the test.
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Complete question:
Students are given 3 minutes for each multiple-choice question and 5 minutes for each free-response question on a test. There are 15 questions on the test, and students are given 51 minutes to take it.
The system of equations shown can be used to find the number of multiple-choice questions, m, and the number of free-response questions, f, on the test.
m + f = 15
3m + 5f = 51
How many multiple-choice questions are on the test?
3
5
12
14
What is 6.5% of 39.99?
Mark and some of his friends had eaten pizzas. What is this written as a decimal?
Answer:
We don't really have the whole question, but to convert to a decimal, you should divide the numerator by the denominator.
Example:
Convert 5/8 to a decimal.
5 divided by 8 = 0.625
The sum of two integers is 5. Their difference is 11. What are
the two integers?
A 3 and 14
B
-3 and 8
C 2 and 3
D -14 and -3
What is the perimeter of this shape
Answer:
40.9
Step-by-step explanation:
8+10+8.9+10+4=40.9
hope this helps :3
if it did pls mark brainliest
Answer:
40.9 ft
Step-by-step explanation:
Perimeter is the sum of lengths of all outer sides of the shape. Since the rectangle has two pairs of parallel lines of the same length... It is safe to assume that the unmarked side length is 10 ft (just like it's parallel counterpart)
Now it is a simple matter of adding all of the outer sides.
8ft + 10 ft + 10 ft + 8.9 ft + 4 ft = 40.9 ft
please help, my time is running out
Answer: 40 ?
Step-by-step explanation:
If AB = 6 units, BC = 5 units, CD = 8 units, and AD = 10 units, what is LO? 5 units 6 units 8 units 10 units
1. ABCD is shifted some units down, and then some othe units left.
2. The figure is just moved, not reflected, not diluted. So the distances are preserved
3. ABCD is translated to OLMN mean that AB has been translated to OL, so length of LO=OL=AB= 6 units
The length of LO is as the length of AB which is 6 units.
What is a quadrilateral?Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.
According to the given information, the quadrilateral ABCD is translated down and left to form the quadrilateral OLMN.
As the quadrilateral is just shifted first down and then left but not changed in the dimensions thus, the dimensions of the new quadrilateral OLMN will also be the same as ABCD.
length of LO=OL=AB= 6 units
Hence, the length of LO is as the length of AB which is 6 units.
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The complete question is;
Quadrilateral ABCD is translated down and left to form quadrilateral OLMN. If AB = 6 units, BC = 5 units, CD = 8 units, and AD = 10 units, what is LO? 5 units 6 units 8 units 10 units
If the average grade of an English class rose from 70 to 80 what is the approximate percent increase
Answer:
10
Step-by-step explanation:
Marco climbed 2 feet down a ladder. He then climbed down
4 more feet. Write a subtraction equation and an equivalent
addition equation to represent this situation. What was the total
change in Marco’s elevation?
Answer:
well (-2) -4=-6
Step-by-step explanation:
the the elevation he changed in is 6ft goign down
The equivalent addition equation to represent this situation will be negative 6. Then the total change in Marco’s elevation will be negative 6.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Marco climbed 2 feet down a ladder. He then climbed down 4 more feet.
The equivalent addition equation to represent this situation will be given as,
⇒ (-2) + (-4)
⇒ - 2 - 4
⇒ - 6
The equivalent addition equation to represent this situation will be negative 6. Then the total change in Marco’s elevation will be negative 6.
More about the Algebra link is given below.
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The admission fee to an amusement park is $27. It costs an additional d dollars to rend a locker to hold your belongings. The total cost for 10 people to enter the amusement park and each rent a locker is $330. How much does it cost for one person to rent a locker?
Answer:
$33
Step-by-step explanation:
If each locker costs $6, 33x6=330 (the 33 is from 27+6)
help please please
If i just knew the answer i would tell you buti dont know sorrry
Answer:
1. A. 9
B. - 51
2. A. (-3,2)
B. (5,-2)
3. A. (11,-3) B. (11,1) C. They have the same x
figure out the slope of the line that passed through each pair of points (4,-11) and (7,-8)
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[tex]slope = \frac{ - 8 - ( - 11)}{7 - 4} \\ [/tex]
[tex]slope = \frac{ - 8 + 11}{7 - 4} \\ [/tex]
[tex]slope = \frac{3}{3} \\ [/tex]
[tex]slope = 1[/tex]
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What are some good insults
Also so this don't get deleted: What is an exponent?
Answer:
a person who believes in and promotes the truth or benefits of an idea or theory.
Step-by-step explanation:
you are pretty
smart
kind
beautiful
"My daddy said your a stranger"
NEED HELP FO THE ONE TIME ASAP NO ROCKY
Answer: X=32
Step-by-step explanation: 85+63=148. The tree angles of a triangle equals 180 degrees, so 180-148=32
*15 Points* need help quickly plz
Answer:
Both of these statements are correct.
Step-by-step explanation:
Adjacent means next to each other, vertical angles are like angles 2 and 5, where they are right across from each other.
I hope this helps/ makes sense!!!
Ms. Sakai rode her bike 7.25 miles on Friday. She then rode 12.3 miles on Saturday and then 7.3 miles on Sunday. How many total miles did she ride over those three days?
Answer:26.85 miles
Step-by-step explanation: 7.25+12.3+7.3=26.85
Write an equation in slope-intercept form of the line that passes through (3,8) and (1,-2)
Step-by-step explanation:
let eqn be y = mx + b.
m = (-2 - 8)/(1 - 3) = 5
sub (3, 8):
8 = 5(3) + b
b = -7
therefore equation of the line is y = 5x - 7
Topic: coordinate geometry
If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!
Answer:y = 5x - 7
Step-by-step explanation: /
PLEASE HELP QUICK it if for Geometry might award a Brainliest
Answer:
SAS
Step-by-step explanation:
the reason that it is a sas angle is because C is in the middle and the two triangles stop at an angle to to this the angles are congruent and therefore similar
HURRY I NEED HELP SOON
Zola and her friends are going bowling. The bowling alley charges each person a $14 fee to rent shoes, plus $4.50 per game.
Which equation represents the cost, y, for each friend to go bowling in terms of the number of games played, x?
a. y=4.50x +14
b. y= -14x - 4.50
c. y= -4.50x - 14
d. y= 14x + 4.50
Answer:
i think a
Step-by-step explanation:
becuade 4.50 per game(x) and the additional fee would be 14
71 3/7% Express the percent as a fraction in simplest form.
please help.
Answer:
5/3
Step-by-step explanation:
We want to express the percentage as a fraction
We have;
500/3/100 = 500/300 = 5/3
Please help image below I’m struggling
Answer:
-0
Step-by-step explanation:
Answer:
-1 0 1 2
Its just subtraction
f(-2) = 4x + 10
What is the value
Answer:
f = -2x -5, which is false
Step-by-step explanation:
combine like terms, f = -2x -5
-2f = 4x +10
Answer:
The Answer would be -3
Step-by-step explanation:
(-2)=4x+10
-4x=10+2
-4x=12
-3
ху
0
3
1 1
2 -1
Using the table, what is the value for the RANGE when the DOMAIN is 2?
es
-1
B)
o
C)
1
D)
2
Answer:
i think is D t but i think
Step-by-step explanation:
Answer is 0 probably B)
Step-by-step explanation:
HELP WITH THESE TWO ASAP
!!20 POINTS!! BRAINLIEST TO CORRECT ANSWER!!
Select the correct answer.
Which ratio is equal to 27:81?
А.1:9
B.2:9
C.3:9
D. 3:27
E.9:12
Answer:
3:9
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
27:81
= 27/81
=3/9
=3:9
it could be reduced to 1:3 but because the alternatives does not include, it 3: 9
please reward me by marking me as the brainliest.
The probability of getting 3 is the half of getting 6. Is Victoria correct?
yes because 6÷2 is 3 and that gets you the answer
what is 1+123+9x0+1728x456
Answer:
133+1728x^456
Step-by-step explanation:
Which table represents a linear function?
ху
х
y
1
7
2
2
11
4
3
12
6
12
4
13
8
15
ху
х
у
N X
7
1
7
4
9
2.
9
6
11
3
12
8
13
4
15
The second table at the bottom represents a function because the slope for consecutive pairs of values is the same as 2, all through. The answer is: {(2, 7), (4, 9), (6, 11), (8, 13)}.
How to Identify a Table that Represents a Linear FunctionA table that represents a linear function will have the same slope across all pairs of values.Change in y / change in x will remain the same between consecutive pairs of values.Thus, the second table at the bottom represents a function because the slope for consecutive pairs of values is the same as 2, all through. The answer is: {(2, 7), (4, 9), (6, 11), (8, 13)}.
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A baker in 70 minutes iced 40 cupcakes and in 49 minutes he iced 28 cupcakes what is the constant of proportionality? express your awnser in decimal form.
Answer:
1 cupcake is made in 1.75 minutes.
1.75 minutes
Step-by-step explanation:
Divide 70 by 40 = 1.75.
49/28=1.75
The constant of proportionality of the given data is 0.57.
What is constant of proportionality?The constant of proportionality is the ratio of two proportional values at a constant value.
Now it is given that,
Time taken for icing 40 cupcakes = 70 minutes
∴ Icing of cupcakes in 1 minute = 40/70
= 0.57
Time taken for icing 28 cupcakes = 49 minutes
∴ Icing of cupcakes in 1 minute = 28/49
= 0.57
⇒ constant of proportionality = 0.57
Thus, the constant of proportionality of the given data is 0.57.
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