Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. After 5 hours of burning, a candle has a height of 26 centimeters. After 24 hours of burning, its height is 14.6 centimeters. What is the height of the candle after 18 hours?
Answer:Let Y = height
Let X = time
Height is a linear function of time, so Y = mX + b, where m is the slope and b is the y-intercept.
We can calculate the slope from the given values (8,20.4) and (19,18.2)
Slope = (y2 - y1) / (x2 - x1) = (18.2 - 20.4) / (19 - 8) = -2.2 / 11 = -0.2
This means that the height of the candle is going down by 0.2 cm per hour
Since 16 hours is 8 hours after the first data point of (8,20.4), the height will go down by 8 * (-0.2) = -1.6 cm in the 8 hours between hour 8 and hour 16.
So the height of the candle after 16 hours = 20.4 - 1.6 = 18.8 centimeters
Step-by-step explanation:
Which expression is equivalent to 7x + 5x?
a. 12x
b.12x^2
c. 35x
d. 35x^2
Answer:
12x
Step-by-step explanation:
Solve for C: C-9(greater than or equal too sign)9
Answer:
[tex]{ \tt{C - 9 \geqslant 9}} \\ \\ { \tt{C \geqslant 9 + 9}} \\ \\ { \rm{answer}} : \: { \tt{C \geqslant 18}}[/tex]
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ASAP HELP PLEASE SHOW ALL WORK AND PLEASE NO LINKS
Answer:
the triangle always equals 180.
so divide it right?
Refer to the attachment
8(3x – 6) = 6(4x + 8)
Answer:
0=96
Step-by-step explanation:
8 x 3x= 24x 8 x- 6= -48 6 x 4x=24x 6x 8=48
24x -48= 24x+48
24x-24x= 48 +48
0= 96
A system of linear equations includes the line that is created by the equation y = 0. 5 x minus 1 and the line through the points (3, 1) and (â€"5, â€"7), shown below. On a coordinate plane, points are at (negative 5, negative 7) and (3, 1). What is the solution to the system of equations? (â€"6, â€"4) (0, â€"1) (0, â€"2) (2, 0).
The solution to the system of equations is (2,0)
The equation is given as:
[tex]y = 0.5x - 1[/tex]
The other equation passes through the points (3,1) and (-5,-7).
Start by calculating the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{-7 - 1}{-5 -3}[/tex]
[tex]m = \frac{-8}{-8}[/tex]
[tex]m =1[/tex]
The equation is then calculated as:
[tex]y = m(x -x_1) + y_1[/tex]
So, we have:
[tex]y = 1(x -3) + 1[/tex]
[tex]y = x -3 + 1[/tex]
[tex]y = x -2[/tex]
Substitute x - 2 for y in [tex]y = 0.5x - 1[/tex]
[tex]x- 2 =0.5x - 1[/tex]
Collect like terms
[tex]x-0.5x= 2 - 1[/tex]
[tex]0.5x= 1[/tex]
Divide both sides by 0.5
[tex]x= 2[/tex]
Substitute 2 for x in [tex]y = 0.5x - 1[/tex]
So, we have:
[tex]y = 0.5\times 2 - 1[/tex]
[tex]y = 1 - 1[/tex]
[tex]y = 0[/tex]
So, we have:
[tex](x,y) =(2,0)[/tex]
Hence, the solution to the system of equations is (2,0)
Read more about systems of equations at:
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15 x squared + 31 x = negative 10 a. x = two-fifths, five-thirds c. x = negative two-fifths, negative five-thirds b. x = five-halves, three-fifths d. x = negative five-halves, negative five-thirds
Answer:
A
Step-by-step explanation:
espero que mi respuesta ayude
hope my answer helps
How can probability be applied to decision making?
Answer:
ANSWER============================You can calculate the probability that an event will happen by dividing the number of ways that the event can happen by the number of total possibilities. Probability can help you to make better decisions, such as deciding whether or not to play a game where the outcome may not be immediately obvious.============================#CarryOnLearningAnswer: Using Probability to Increase the Odds of success
−5/6e−2/3e=−24 solve for e
Answer:
-3e/2
Step-by-step explanation:
Two concentric circles are of radii 5 cm and 3 cm. Determine the length of the chord of the larger circle which touches the smaller circle.
Answer:
Let O be the common center of two concentric circles and let AB be a chord of larger circle touching the smaller circle at P join OP
Since OP is the radius of the smaller circle to any chrod of the circle bisects the chord.
∴ AP=BP
In right ΔAPO we have
OA
2
=AP
2
+OP
2
⇒25−9=AP
2
⇒AP
2
=16⇒AP=4
Now AB=2,AP=2×4=8[∵AP=PB]
hence the length of the chord of the larger circle which touches the smaller circle is 8cm.
Step-by-step explanation:
The Gonzales family has three children. On summer break they went to an amusement park they bought 3 child tickets for 18.50 and 2 adult tickets If they spent a total of 104.50 how much was the price of the adult ticket?
I need a complete equation and step by step explanation showing the numbers, not how you did it.
Answer:
= 24.5
Step-by-step explanation:
1 child ticket = 18.50 and they bought 3 so 18.50 x 3 = 55.5
55.5 + 2 adult tickets = 104.50
104.50 - 55.5 = 2 adult tickets
= 49 for 2 adult tickets
49/2 = 1 adult tickets
= 24.5
Please Help Question in picture
Also please dm me on in sta : yourdealerjeremi
I could use help on a few more questions
Answer:
c) line VR is parallel to line ST
Find the pressure in N/m^2 exerted by a force of 42 N on an area of 7 m^2.
Answer:
Answer:
Force = 42 N
Area = 7 m^2
Pressure = Force/Area
= 42/7
= 6 N/m^2.
Step-by-step explanation:
got it from brainly
HELP HURRY PLS
What is the equation of this line?
y =2/3x
y=3/2x
y= -2/3x
y= -3/2x
Answer:
y = 2/3x
Step-by-step explanation:
Omar just accepted a job at a new company where he will make an annual salary of $52000. Omar was told that for each year he stays with the company, he will be given a salary raise of $4000. How much would Omar make as a salary after 10 years working for the company? What would be his salary after
t
t years?
Answer:
1: $92000 2: 52000 + 4000t= current salary
Step-by-step explanation:
1: simple arithmetic, 52000 + 4000(10)=92000
2: equation is formed as InitialSalary + 4000*(years at company) = New Salary
or with other variables, 52000+4000*t=N
Which absolute value functions will be narrower than the parent function, f(x) = |x|? Check all that apply. F(x) = |x| f(x) = |x â€" 2| f(x) = |x| 3 f(x) = 2. 9|x| f(x) = 1. 2|x 8| f(x) = 0. 7|x| â€" 3. 2.
The absolute value functions that will be narrower than the parent function are: f(x) = 2.9|x| and f(x) = 1.2|x + 8|
For an absolute value function to be narrower than its parent function, the following highlights must be true:
The function must be dilatedThe scale of dilation must be greater than 1From the given options, the dilated functions are: f(x) = 2.9|x|, f(x) = 1.2|x + 8| and f(x) = 0.7|x| – 3.2
However, the dilated functions that have a scale of dilation greater than 1 are: f(x) = 2.9|x| and f(x) = 1.2|x + 8|
Hence, the absolute value functions that will be narrower than the parent function are: f(x) = 2.9|x| and f(x) = 1.2|x + 8|
Read more about absolute value functions at:
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A photographer charges $12 for a set of 20 pictures. Each picture cost the same amount. At this rate, how many pictures cost $30?
Answer:
Step-by-step explanation:
20/12 = 1 2/3
30 ÷ 1 2/3
= $18
To sign up for cable service, you must purchase the DVR recorder
upfront, then pay $19.95 per month for service. Eight months
after signing up, Martha had paid a total of $288.60 for the
recorder and service. Write and solve a linear equation to find
the total amount she will have paid for the 2-year agreement she
signed.
Which correlation coefficient best matches the graph?
Answer:
c)
Step-by-step explanation:
the closer towards 1 or -1 the more it will be in a line. the closer its to 0 the less in a line it will be.
At Jared's school, he earns reward
points.
He has earned 350 points.
He wants to have at least 100 points left
at the end of year for prizes.
He wants to use 20 points each week
for Free-Sit Friday.
How many weeks can Jared have Free-
Sit Friday and still have at least 100
points at the end of the year?
Write the Inequality.
Answer:
ok so first take a way 100 from 350
250 then divide by 20
12
Hope This Helps!!!
Multiply (x^2 + 4x) (x^3 - 2x^2 + x + 7)
Answer:
x^5+2x^4-7x^3+11x^2+28x
Step-by-step explanation:
can someone help me pleasee
Answer:
Erich planted 7 seeds ...
he had to remove 17 plants ....
he expected to have less or equal 46 plants ...
Step-by-step explanation:
Look at keywords like remove ~ => which indicates that something is being subtracted
Since x represents seed packets, and the amount he planted is a number multiplied by x, we can deduce he planted 7 seeds ( 7 * x)
The cost of a school banquet is $90 for the room rental and $14 per person attending. Write an expression to model the total cost of the banquet for p people. What is the cost for 70 people?
Answer:
Total Cost (p) = 90 + 14p
For 70 people = $1070
Step-by-step explanation:
Let p stand for the number of people attending the banquet
Fixed cost = $90
Variable cost = $14p
Total Cost (p) = 90 + 14p
=================
Cost for 70 people (p=70)
Total Cost = $90 + $14(70)
Total = $1070
If 2 inches are equivalent to 5 centimeters, how many square centimeters are in one square inch?
There are 6.45 or 6.5 square cm in one square in.
If 2 inches are equivalent to 5 centimeters, using unitary method, 6.25 square centimeters are in one square inch.
Unitary method is the method of solving the problem, where you first calculate the value of one item, then to find the value of say, k items, you multiply the value of one item by k.
Here, in this question we have used unitary method to find the relation between square inch and square centimeter given the relation between an inch and a centimeter.
Given in the question,
2 inches = 5 centimeter
By unitary method,
[tex]1 \ inch = \frac{5}{2} \ centimeter = 2.5 \ centimeter[/tex]
Squaring on both sides,
[tex]1 \ inch * 1 \ inch = 2.5 \ cm * 2.5 \ cm \\\\1 \ inch^2 = 6.25 \ cm ^2[/tex]
Learn more about unitary method here
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5+7x to the power of 2+4x
Answer:
7x^2 + 4x + 5
Step-by-step explanation:
hope that work
hi guys need some help with this one question thanks
Take two co-ordinates
(-2,0)(0,4)[tex]\\ \sf{:}\Rrightarrow m=\dfrac{4-0}{0+2}=\dfrac{4}{2}=2[/tex]
Equation in point slope form
[tex]\\ \sf{:}\Rrightarrow y-y1=m(x-x1)[/tex]
[tex]\\ \sf{:}\Rrightarrow y-4=2(x-0)[/tex]
[tex]\\ \sf{:}\Rrightarrow y=2x+4[/tex]
May I please receive help?
Answer:
it depends on the choices
Step-by-step explanation:
2(x + 3) = x-4
What does X equal !!!
Answer x =-10
Step-by-step explanation:
:)
Complete the slope-intercept form of the linear equation that represents the relationship in the table.
y = -2x + 5
hope this helps!