Answers
Answer:
[tex]F = 1.8C + 32[/tex]
Step-by-step explanation:
Given
The attached table
Required
The relationship between both temperatures
This implies that we calculate the table equation
First, we calculate the slope (m)
[tex]m = \frac{F_2 - F_1}{C_2 - C_1}[/tex]
Where:
[tex](C_1,F_1) = (0,32)[/tex]
[tex](C_2,F_2) = (20,68)[/tex]
So, we have:
[tex]m = \frac{68 - 32}{20 - 0}[/tex]
[tex]m = \frac{36}{20}[/tex]
[tex]m = 1.8[/tex]
The equation is then calculated using:
[tex]F = m(C - C_1) + F_1[/tex]
This gives:
[tex]F = 1.8(C - 0) + 32[/tex]
[tex]F = 1.8(C ) + 32[/tex]
[tex]F = 1.8C + 32[/tex]
Related Questions
How do you find the difference between an isosceles triangle and a normal triangle?
Answers
Answer:
In an equilateral triangle, all the sides and angles are of equal length. In an isosceles triangle, 2 of the sides are equal
Step-by-step explanation:
Please help me asap please
Answers
The second one is a ray. You would write it as KJ and choose the option that has a arrow on one side of the line
The third one is a line segment. You would write it as HG and choose the option that doesn’t have any arrows attached to the line.
32:3
What is 32 divided by 3
Answers
Answer:
11 1\3
Step-by-step explanation:
32÷3=11.33333333333333333333
10 wholes and 2/3 as the remainder :) hope this helps .
The time, t, for am ice cube to melt. is inversely proportional to the temperature, T, of the water the ice cube is placed. If it takes an ice cube 2 minutes to melt in 75f water, how long will it take an ice cube of the same size to melt in 80f water?
Answers
Answer:
15/8 minutes
Step-by-step explanation:
The inverse relationship implies the following equation.
[tex]t=\frac{k}{T}[/tex]
where k is a constant.
You are given a t and T that go together, so
[tex]2=\frac{k}{75}[/tex]
This implies that k=150. Now you know that the relationship is
[tex]t=\frac{150}{T}[/tex]
Now substitute 80 for T to get the answer.
[tex]t=\frac{150}{80}=\frac{15}{8}[/tex][tex]t=\frac{150}{80}=\frac{15}{8}[/tex]
minutes.
It takes an ice cube of the same size to melt in 80f water 15/8 minutes.
We have given,
The time t for am ice cube to melt. is inversely proportional to the
temperature T of the water in the ice cube is placed.
What is the inverse relationship?The inverse relationship implies the following equation.
[tex]t=\frac{k}{T}[/tex]
Where k is a constant.
You have given a t and T that go together, so
[tex]2=\frac{k}{75}[/tex]
This implies that k=150.
Now you know that the relationship is
[tex]t=\frac{150}{T}[/tex]
Now substitute 80 for T to get the answer.
[tex]t=\frac{150}{80} =\frac{15}{8}[/tex]
It takes an ice cube of the same size to melt in 80f water 15/8 minutes.
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Use the function g () = 5x – 2 to complete the table.
-4
-7
0
23
38
How do I get the answer?
Answers
Answer:
Step-by-step explanation:
You are given the equation g(x)=5x-2. You simply take the values given and put those values into the equation.
g(-4)=5(-4)-2=-20-2=-22
g(-7)=5(-7)-2=-35-2=-37
g(0)=5(0)-2=-2
g(23)=5(23)-2=115-2=113
g(38)=5(38)-2=190-2=188
If Mrs. Maiers buys 24 stickers, is the cost of each sticker more then or less then 0.50
Answers
help plz plz plz plz i need this
Answers
Answer:
n-5
Step-by-step explanation:
Ram obtains 40% of the marks in a paper of 200 marks. Shyam is ahead of Ram by 25% of Ram' s marks, while Bhuvan is ahead of Shyam by one month of his own marks. How many marks does Bhuvan get?
Answers
Answer:
First, we start with:
"Ram obtains 40% of the marks in a paper of 200 marks"
In this case, 200 marks represent the 100%
Then how much is the 40%?
we have the relations:
40% = X
100% = 200 marks
Now we can take the quotient of both equations:
(40%/100%) = X/200marks
(40%/100%)*200marks = X = 80 marks
So Ram obtained 80 marks.
Now we have:
"Shyam is ahead of Ram by 25% of Ram's marks"
Now the 100% is the number of marks that Ram has, this is:
100% = 80 marks
And Shyam has 25% more than that, then we have:
125% = X
Same as before, we take the quotient of both equations:
(125%/100%) = X/80 marks
1.25*80 marks = 100 marks.
Shyam has 100 marks.
The last part is (this is not written correctly, it says "one month", it should be "one-ninth")
"while Bhuvan is ahead of Shyam by one-ninth of his own marks."
if his own marks are X, we have the equation
X = 100 + (1/9)*X
X - 1/9*X = 100
X*(8/9) = 100
X = (9/8)*100 = 112.5
So Bhuvan has 112.5 marks
Find a and b if the points p(6,0) and q(3,2) lie on the graph of ax + by =12
Answers
Answer:
[tex]a= 2[/tex]
[tex]b = 3[/tex]
Step-by-step explanation:
Given
[tex]p(x,y) = (6,0)[/tex]
[tex]q(x,y) = (3,2)[/tex]
[tex]ax + by = 12[/tex]
Required
Find a and b
In [tex]p(x,y) = (6,0)[/tex], [tex]x = 6[/tex] and [tex]y = 0.[/tex]
This gives:
[tex]a*6 + b*0 = 12[/tex]
[tex]6a = 12[/tex]
Divide by 6
[tex]a= 2[/tex]
In [tex]q(x,y) = (3,2)[/tex]. [tex]x = 3[/tex] and [tex]y = 2.[/tex]
This gives:
[tex]a*3 + b*2 = 12[/tex]
[tex]3a + 2b = 12[/tex]
Substitute 2 for a
[tex]3*2 + 2b = 12[/tex]
[tex]6 + 2b = 12[/tex]
Collect Like Terms
[tex]2b = 12 - 6[/tex]
[tex]2b = 6[/tex]
Divide by 2
[tex]b = 3[/tex]
Question 1
4+ (-3) + (-2) ?
Which of the following diagrams correctly represent
Answers
Answer:
4-3-2
-1
Step-by-step explanation:
when x is divided by 9, the remainder is 7. What is the remainder when x+4 is divided by 9
Answers
Answer:
First i always use khan academy
Step-by-step explanation:
Please will give brainliest and thanks for the problem
Answers
Answer:
y = -¼x + (-6)
Step-by-step explanation:
I was summoned?
A calculator is required to obtain the final answer on this question. A solid metal sphere at room temperature 20oC is dropped into a container of boiling water (100oC). If the temperature of the sphere increases 10o in 9 seconds, find the temperature of the ball after 18 seconds in the boiling water. (Assume the sphere obeys Newton's Law of Cooling.)
Answers
Answer:
38.71°C
Step-by-step explanation:
Given :
Initial temp, T0 = 20°C
Final temperature, T = 20 + 10 = 30°C
Time, t = 9 seconds
Surrounding temperature, Ts = 100°C
Newton's Law of cooling :
T = Ts + (T0 - Ts) * e^-kt
Obtain the value of k
30 = 100 + (20 - 100) * e^-9k
30 - 100 = - 80e^-9k
-70 = - 80e^-9k
-70 / - 80 = e^-9k
0.875 = e^-9k
Take the In of both sides
In(0.875) = - 9k
−0.133531 = - 9k
k = 0.133531 / 9
k = 0.0148
Hence,
t = 18
T = Ts + (T0 - Ts) * e^-kt
T = 100 + (20 - 100) * e^-0.0148(18)
T = 100 - 80 * e^-0.0148(18)
T = 100 - 80 * 0.7661326
T = 38.709392
T = 38.71°C
how to represent with an integer mary moves 3 steps backward as she dances
Answers
Answer:
-3
Step-by-step explanation:
As she moves back, so it will be negative.
Since she moves back 3 steps, it will be -3.
Hope it helps :)
Please mark my answer as the berainliest
Answer:
-3
itwaseasy...............
twice the difference of a number and 8 is equal to three times the sum of the number and 8. find the number
Answers
Answer:
-24
Step-by-step explanation:
2(x-8)=3x+3
2x-16+16=3x+8+16
2x=3x+24
2x-3x=3x+24-3x
-x=24
x=-24
2(x-8) = 3(x+8)
2x - 16 = 3x + 24
_____ ______
-24 -24
______________
2x - 40 = 3x
_____________
-2x. -2x
____________
-40 = 1x
So x = -40
______________
Select the correct answer. Which equation is a step in solving the equation |5 − 3x| + 2 = 19?
Answers
Answer:
Step-by-step explanation:
What is the point-slope form of a line with slope -3 that contains the point
(10, -1)?
Answers
Answer:
y + 1 = -3(x - 10)
General Formulas and Concepts:
Algebra I
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
Slope m = -3
Point (10, -1)
x₁ = 10y₁ = -1Step 2: Write Function
Substitute in variables into general form.
y - -1 = -3(x - 10)
y + 1 = -3(x - 10)
Pls help, because I need it desperately
Answers
Answer:
1) 13
2) is
3) s/13
Step-by-step explanation:
It’s one adult to 13 students. It IS proportional.
a=s/13
what is the solution: y=x and y=-x+4
Answers
Answer:
(2, 2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Coordinates (x, y)Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = x
y = -x + 4
Step 2: Solve for x
Substitution
Substitute in y: x = -x + 4[Addition Property of Equality] Add x on both sides: 2x = 4[Division Property of Equality] Divide 2 on both sides: x = 2Step 3: Solve for y
Define original equation: y = xSubstitute in x: y = 2A house cost $185,500 in 2000. By the year 2015, the value was $132,000. What was the growth
rate as a percent for that 15-year period?
Answers
Answer:
their was no growth rate it lost 53,500 in those 15 years at a rate of about 3,566 a year
Step-by-step explanation:
The growth rate is the percentage increase and it is the increase with respect to the original thus growth rate will be 28.84%.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
As per the given,
The cost in 2000 is $185500
Cost in 2015 is $132000
Change or increase = (185500 - 132000)
% increase = change/original
% increase = (185500 - 132000)/185500 = 28.84%
Hence "The growth rate is the percentage increase and it is the increase with respect to the original thus growth rate will be 28.84%".
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a man has 290 ft of fencing to build the pen shown in the illustration. If one in is a square, find the outside dimensions.
the dimensions are feet(smaller value) by feet (larger value)
Answers
9514 1404 393
Answer:
40 ft by 85 ft
Step-by-step explanation:
The total length of the three "vertical" partitions is ...
3x = vertical partitions
The total length of the horizontal sides is ...
2(x +(x +5)) = 4x +10
Then the perimeter is ...
P = vertical partitions + horizontal sides
290 = 3x +4x +10
280 = 7x
x = 40
2x+5 = 85
The overall dimensions are 40 ft by 85 ft.
i need step by step answers pleasseeee
Systems of Equations
4x-3y=-20
-x-8y=5
Answers
Answer:
(-5, 0)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsCoordinates (x, y)Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
4x - 3y = -20
-x - 8y = 5
Step 2: Rewrite Systems
-x - 8y = 5
[Addition Property of Equality] Add 8y on both sides: -x = 8y + 5[Division Property of Equality] Divide -1 on both sides: x = -8y - 5Step 3: Redefine Systems
4x - 3y = -20
x = -8y - 5
Step 4: Solve for y
Substitution
Substitute in x: 4(-8y - 5) - 3y = -20[Distributive Property] Distribute 4: -32y - 20 - 3y = -20Combine like terms: -35y - 20 = -20[Addition Property of Equality] Add 20 on both sides: -35y = 0[Division Property of Equality] Divide -35 on both sides: y = 0Step 5: Solve for x
Define original equation: -x - 8y = 5Substitute in y: -x - 8(0) = 5Multiply: -x = 5[Division Property of Equality] Divide -1 on both sides: x = -5Answer:
x = -5
y = 0
Step-by-step explanation:
4x-3y=-20
-x-8y=5 then x = 8y-5
substitute for x
4(8y-5)-3y = -20
32y-20-3y = -20
29y = 0
y = 0
4x-0 = -20
x = -5
What is the sun of 15 5/9 + 10/12?
a. 16 17/18
b. 15 7/10
c. 16 7/18
d. 188/18
Answers
Answer:
C. 16 7/18
Step-by-step explanation:
First find the least common denominator for the fractions: 36
Change the fractions: 15 20/36 + 30/36
Add the fractions: 20/36+30/36=50/36
Turn into proper fraction: 16 14/36
Simplify: 16 7/18
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PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answers
Answer:
(3,12)
Step-by-step explanation:
y = 3x + 3
y = 6x -6
x = 3
y = 12
= (3,12)
Answer:
All you have to do, is find an x that if used in both equations, both equal the same y.
3 x 3 + 3 = 12
6 x 3 - 6 = 12
So, the only thing here is (3, 12)
Step-by-step explanation:
What is 56 divided by 14.5
Answers
Answer:
3.86( rounded)
Step-by-step explanation:
3x + 2(4x - 4) = 3
Anyone know the answer?
Answers
Answer:
x=1
Step-by-step explanation:
3x+2(4x-4) = 3
3x+8x-8 = 3
11x-8 = 3
11x = 11
x = 11/11 = 1
The solution for x in the expression 3x + 2 (4x- 4) = 3 is,
⇒ x = 1
The given expression is,
⇒ 3x + 2 (4x- 4) = 3
We can simplify by apply distributive property and combine like term,
⇒ 3x + 2 (4x- 4) = 3
Apply distributive property,
⇒ 3x + 8x - 8 = 3
Combine like term,
⇒ 11x - 8 = 3
Add 8 both side,
⇒ 11x = 3 + 8
⇒ 11x = 11
Divide by 11,
⇒ x = 11 / 11
⇒ x = 1
Therefore, The solution for x in the expression 3x + 2 (4x- 4) = 3 is,
⇒ x = 1
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Write an algebraic expression that represents the total area of the square shown
I will give brainliest
Answers
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answers
Answer: It depends on how many times Tyrell wants to reserve the court. Sorry but there's not enough info to solve rn
Hope this helps! <3
Thereeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer:
1. 0.5%
2. 3%
3. 20%
4. 250%
5. 500%
hope this helps have a blessed day :)
Factor the expression-28x-14
Answers
Answer:
-14(2x+1)
Step-by-step explanation:
Factor out the GCF, which is 14.
Answer:
-14(2x+1)
Step-by-step explanation:
this is a question on my math test and i got it write