what is the constant of proportionality (in miles per hour) based on the table? (can you please help me)
Answers
Answer:
45 ( please label me brainliest)
Step-by-step explanation:
The constant of proportionality is a factor that describes a linear relationship between two variables. In the context of a car's speed, it can be found by dividing the distance covered by the time taken, giving a result in miles per hour.
Explanation:
The constant of proportionality is a factor used to describe quantities that have a linear relationship. It is the ratio between two directly proportional variables. For example, if the speed of a car increases proportionally with the time spent driving, the constant of proportionality would be the rate the car is moving in miles per hour (mph). It can be found in simple linear equations with the form y = mx + b, where m is the constant of proportionality.
In your case, if you are given a table of values displaying a linear relationship, the constant of mathrm{proportionality} in mph can be found by selecting any two corresponding values (for time and distance in this case), and calculating the rate by dividing the distance covered in miles by the time taken in hours.
This rate (in miles per hour) is your proportionality constant, assuming that the relationship is indeed linear. Therefore, if one assumes the speed remains constant and acceleration is nil, then the speed of the car (in mph) is the constant of proportionality in this context.
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Related Questions
Two young sumo wrestlers decided to go on a special diet to gain weight rapidly. They each gained weight at a constant rate.
The weight (in kilograms) of the first wrestler as a function of time (in months) is given by the following table of values:
Time\text{Time}
Time
start text, T, i, m, e, end text
(months)
Weight\text{Weight}
Weight
start text, W, e, i, g, h, t, end text
(kilograms)
33
3
3
9595
95
95
4.54.5
4.5
4, point, 5
101.75101.75
101.75
101, point, 75
66
6
6
108.5108.5
108.5
108, point, 5
The graph of the weight (in kilograms) of the second wrestler as a function of time (in months) is shown below.
Which wrestler weighed more at the beginning of the diet?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
The first wrestler
(Choice B)
B
The second wrestler
(Choice C)
C
They weighed the same
Which wrestler gained weight faster?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
The first wrestler
(Choice B)
B
The second wrestler
(Choice C)
C
They both gained weight at the same rate
1\small{1}
1
2\small{2}
2
3\small{3}
3
4\small{4}
4
5\small{5}
5
6\small{6}
6
7\small{7}
7
8\small{8}
8
9\small{9}
9
10\small{10}
10
20\small{20}
20
30\small{30}
30
40\small{40}
40
50\small{50}
50
60\small{60}
60
70\small{70}
70
80\small{80}
80
90\small{90}
90
100\small{100}
100
110\small{110}
110
120\small{120}
120
Time (months)
Weight (kilograms)
Answers
The second wrestler weighed more at the beginning of the diet and gained weight faster.
Explanation:The first wrestler weighed 95 kilograms at the beginning of the diet, while the second wrestler weighed 101.75 kilograms. Therefore, the second wrestler weighed more at the beginning of the diet. To determine which wrestler gained weight faster, we can compare the rates at which they gained weight. The first wrestler gained 4.5 kilograms in 6 months, while the second wrestler gained 8.75 kilograms in the same time period. Therefore, the second wrestler gained weight faster.
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The circumference of a circle is 80ft. What is the area of the circle? (Rounded to the nearest square foot)
Answers
Answer:
A≈509.3ft^2
Step-by-step explanation:
You find the Area of a Circle with formula A=πr^2
Down below is an example of how you can do so.
So for you problem you are given the circumference of the circle divide 80 by 2 to get 40. 40/3.14=12.73...
A=3.14*12.73...^2
12.73*12.73=162.05...
3.14*162.05=508.84...
Rounded off Area = 509.3
What is the value, after 7 years, of a 2014 Ford Mustang that originally costs $25,000.00
Answers
Answer:
Use the equation y=a(1-r)^t
In this case y=25,000(1-0.08)^7
Giving you...
$13,946.17
(Round as needed)
Answer:
The rounded answer is 14000
1.) 2x−9y=14
2.) x=−6y+7
please help!!
Answers
Answer
7,0
Step-by-step explanation:
Substitute -6y+7 into problem one where the x is
distribute the 2 and subtract the 9 y and you will get
-21y+14=14
subtract 14 from both sides and it will be -21y=0 so y will be 0
substitute the 0 into equation 2 and find x=7
2.) -12y+14-9y= 14
3.) -21y + 14 = 14
4.) -21y = 0
5.) -21y/-21 = 0/-21
y = 0
6.) 2x-9(0) =14
7.) 2x=14
8.) 2x/2 = 14/2
x=7
so, your answer is (7,0)
Please Help Me With This!! I'd Appreciate It So Much!!
Keiko is walking. The number of calories she has burned varies directly with the number of minutes she has walked. See the graph below.
How many minutes does Keiko walk per calorie burned?
Answers
Answer:
5
Step-by-step explanation:
try 5 it should work
5 calories per minute.
The graph shows a proportional relationship where every 10 minutes, 50 calories are burned. Since it is proportional, we can divide 50 by 10 and get 5.
I need help please !!!!!!!!
Answers
Answer:
a= 1
b= 3
c= 1
d=2
e= 6
f= 8
Step-by-step explanation:
Plug the x value into the equation above the letter that you solve for.
This would give
a = 2^0 = 1 (since any number to the zero power is 1)
b = 3* 2^0 = 2 (we already know what 2^0 is we just have to multiply it with 3)
c= 2^ (3*0) = 2^0= 1 (when 3x is saying that you multiply the x value by zero then raise 2 to what that equals. any number times zero is zero and any number raised to the zero power is 1.
d= 2^1 = 2 (any number to the first power is that number)
e= 3* 2^1(we already know the value of 2^1 is we just have to multiply it with 3)
f= 2^(3*1)= 2^3 = 8 ( same rules as with c just multiply x, which equals 1 in this case with 3. 1 times any number is that number so you get 3. then raise 2 to the 3rd power which is 8.
What is the value of log Subscript 3 Baseline 81?
2
3
4
5
Answers
Answer:
4
Step-by-step explanation:
Using the rule of logarithms
[tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]
Given
[tex]log_{3}[/tex] 81 = n, then
81 = [tex]3^{n}[/tex]
Note that 81 = [tex]3^{4}[/tex] , thus
[tex]3^{4}[/tex] = [tex]3^{n}[/tex]
Since the bases are equal then equate the exponents
n = 4
The value of log Subscript 3 Baseline 81 (i.e Log₃ 81) obtained is 4
Data obtained from the question Log₃ 81 =? How to determine the value of Log₃ 81Let Log₃ 81 be equal to n i.e
Log₃ 81 = n
The value of n can be obtained as follow:
Log₃ 81 = n
81 = 3ⁿ
Express 81 in index form with 3 as the base
3⁴ = 3ⁿ
Cancel out 3
n = 4
From the calculation made above, we can conclude that the value of log Subscript 3 Baseline 81 (i.e Log₃ 81) is 4
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i need help plzzzzzzz answer this for ten points????
Answers
Answer:
The first one: Kilo-liters to milliliters.
When converting on the metric table, always remember:
Converting from larger to smaller you multiply. Converting from smaller to larger, you divide.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
May i have brainly
PLEASE
Round to the nearest thousand then subtract
Answers
If u subtract dis, it would be 5400 :)
The first and second steps to solve the equation
+5-20 are shown below.
3* +5-520-5
Which property was applied in the second step?
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality
Answers
Answer:
C is your answer
Step-by-step explanation:
Toni orders school lunch on Mondays, Wednesdays, and Fridays.
On what percentage of weekdays does Toni NOT order school lunch?
Answers
Answer:
60%
If you were to set this equation up it would be 3/5 is equal to x/100. Then you would cross multiply and then divide both sides by 5. Then you would get your answer.
Answer:
60%
Step-by-step explanation:
Convert the angle
θ
=
26
0
∘
θ=260
∘
theta, equals, 260, degrees to radians.
Answers
Answer:
[tex]\frac{13\pi}{9}[/tex]radian
Step-by-step explanation:
We are given that
[tex]\theta=260^{\circ}[/tex]
We have to convert angle into radian.
We know that
Radian measure=[tex]\frac{\pi}{180}\times degree\;measure[/tex]
Using the formula then we get
Radian measure=[tex]\frac{\pi}{180}\times 260[/tex]
Radian measure=[tex]\frac{13\pi}{9}[/tex]radian
Hence, 260 degree=[tex]\frac{13\pi}{9}[/tex]radian
A designer of carved lawn figures needs to reduce the size of a statue by making each linear dimension 40% of the original. If a volume of N cm3 of wood was used to carve the original statue, how many cubic centimeters of wood are needed to make the smaller statue?
Answers
Answer:
N x (0.4)^3
Step-by-step explanation:
There is a blizzard, and Matt notices that the snow is falling at a constant rate. Two hours after the beginning of the snowstorm, there is a total of 9 inches of snow. Five hours after the beginning of the snowstorm, there is a total of 15 inches of snow.
5a. How much snow falls each hour?
5b. How much snow was on the ground before the blizzard started?
5c. Write an equation that models the snowfall’s linear function.
Answers
Answer:
2 inches per hour, 5 inches, y=2x+5
Step-by-step explanation:
No, I don't think I will
Find the volume of a pyramid with a square base, where the side length of the base is
18.5
in
18.5 in and the height of the pyramid is
10.9
in
10.9 in. Round your answer to the nearest tenth of a cubic inch.
Answers
Answer:
The volume of a pyramid is 1243.5 cubic inches.
Step-by-step explanation:
Given : A pyramid with a square base, where the side length of the base is 18.5 in and the height of the pyramid is 10.9 in.
To find : The volume of a pyramid ?
Solution :
The volume of the pyramid is [tex]V=\frac{1}{3}a^2 h[/tex]
Where, a=18.5 in. is the side length of the base
h=10.9 in. is the height of the pyramid.
Substitute the value,
[tex]V=\frac{1}{3}\times (18.5)^2\times 10.9[/tex]
[tex]V=\frac{1}{3}\times342.25\times 10.9[/tex]
[tex]V=1243.50\ in^3[/tex]
Therefore, the volume of a pyramid is 1243.5 cubic inches.
Answer:
1243.5
Step-by-step explanation:
it just 1243.5
What’s 75+127-76= and what’s 75% of the answer
Answers
Answer: 94.5
Step-by-step explanation:
First do the addition, then subtract, then do 75% / 126 and you get 94.5
Answer:
94.5
Step-by-step explanation:
75+127-76= 126
Then change 75% to a decimal .75 and multiply it by 126
126 X .75=
which table represents an exponential decay function
Answers
Answer:
A. III.
Step-by-step explanation:
Hope this helps!
As x increases, y should decrease for an exponential decay.
I is linear. IV represents an exponential growth. II is not even function and III represents exponential decay.
The figure on the grid is the result of enlarging a rectangle by a scale factor of 1.5. On a coordinate plane, a rectangle has a length of 12 and width of 3. Which graph shows the original rectangle? On a coordinate plane, a rectangle has a length of 18 and width of 4. On a coordinate plane, a rectangle has a length of 8 and width of 2. On a coordinate plane, a rectangle has a length of 8 and width of 3. On a coordinate plane, a rectangle has a length of 12 and width of 3.
Answers
Answer:
It is the second option
Step-by-step explanation: I did the review <3
Answer:
B
Step-by-step explanation:
Jason is painting a large circle on one wall of his new apartment. The diameter of the circle will be 8 feet. Approximately how many square feet of wall will the circle cover?
Answers
Answer:
about 50.3 feet squared
Step-by-step explanation:
Area of Circle= pi times radius squared
8/2=4
radius=4
4x4=16
Area=16 pi feet
about 50.3 feet sqared
Answer:
50.27
Step-by-step explanation:
Hailey picked 3.75 kg of blueberries at her grandmother's farm. What number of grams is equivalent to 3.75 Kilograms?
Answers
Answer:
3750 grams
Step-by-step explanation:
1 kilogram is 1000 grams'
Hope this helped
:)
2. Which equation shows converted to slope-intercept form?
Answers
Answer:
y = mx + b
Step-by-step explanation:
y = mx + b shows slope-intercept form.
what's the perimeter of a square 22 M by 27 m
Answers
Answer:108
Step-by-step explanation:
p=4a
8/10 divided by 1/2=?
show how you got the answer
Answers
Answer:
here you go
its 8/5 as a fration
(8/10)/(1/2)=?
Instead dividing, you can multiply by the reciprocal
8/10*2=?
Now just multiple the numerator only, because the denominator is technically one
So your answer would come out to be 16/10 or 8/5
ANSWER: 8/5
Solve for u:
-10.74=u-(−11)
Answers
Answer:
-21.74
Step-by-step explanation:
-10.74 = u + 11
-10.74 - 11 = u + 11 - 11
-21.74 = u
u = -21.74
20% as a fraction in simplest form explain
Answers
Answer:
1/5
Step-by-step explanation:
20 goes into 100 5 times
therfore, it is one fifth of one hundred
in percentages, 100 % is the whole number
Answer:
1/5
Step-by-step explanation
A number given as a percent is actually a fraction already, the denominator is out of 100. Now change it to its simplest form by dividing the top and bottom by the HCF, which is 20.
3x2 + 6x - 42 = 0
solve by factoring
thx!
Answers
Answer:
x = -1 + [tex]\sqrt{15}[/tex], -1 - [tex]\sqrt{15}[/tex]
Using the Quadratic Formula: x = −b ± b2− 4ac√2a solve for the following Quadratic trinomial: x2−10x + 4.75 Explain each step: 1. How did you find the a, b and c? 2. How did you fill in the quadratic formula? Show 3. Where did you start? 4. What are your steps 5. What is your answer.
Answers
The solution of the quadratic trinomial is x=9,1.
What is a quadratic trinomial?A three terms polynomial of degree 2 is known as quadratic trinomial.
How to solve the quadratic trinomial?
The general form of quadratic equation is ax²+bx+c =0,
where x = (-b±√(b²-4ac))/2a
The equation is x²-10x+4.75=0
Here, a=1, b= -10, c=4.75
Hence, x= (10±√(100-19))/2
x=(10+8)/2, x= (10-8)/2
x=9, x=1
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Final answer:
The quadratic trinomial x² - 10x + 4.75 is solved using the quadratic formula. The coefficients identified are a=1, b=-10, and c=4.75, and when substituted into the formula, it yields solutions x = 7 and x = 3.
Explanation:
Solving a Quadratic Equation Using the Quadratic Formula
To solve the quadratic trinomial x2−10x + 4.75 using the quadratic formula, 'x' equals minus 'b', plus-or-minus the square root of 'b' squared minus four 'a' 'c', all over two 'a', we first identify the coefficients a, b, and c from the trinomial, which are in the standard form of ax2 + bx + c = 0.
Identifying coefficients: a = 1 (the coefficient of x²), b = -10 (the coefficient of x), c = 4.75 (the constant term).
Plugging the coefficients into the quadratic formula: x = −(-10) ± √((-10)2 − 4(1)(4.75)) / (2(1)).
Calculating the discriminant: Calculate b2 − 4ac which is 100 − 19.
Square root step: Take the square root of the discriminant, which is √81.
Final calculation: Compute the two possible values for x which are x = 5 + √81 / 2 and x = 5 − √81 / 2.
Solution: The roots are x = 5 + 9/2 and x = 5 − 9/2, simplifying to x = 7 and x = 3.
The final answer for the roots of the equation x² − 10x + 4.75 = 0 using the quadratic formula are x = 7 and x = 3.
Alena is a farmer.
T(A) models the time (in minutes) it takes Alena to plow an area of A square meters.
A
T(A)
100
470
120 180
564 846
When does the plowing time increase faster?
Choose 1 answer:
A
Between an area of 100 square meters and an area of 120 square meters
B) Between an area of 120 square meters and an area of 180 square meters
©
The plowing time increases at the same rate over both intervals
Answers
Answer:
It increases at the same time so C
Step-by-step explanation:
Answer:
choice C: The plowing time increases at the same rate over both intervals.
Step-by-step explanation:
Help,please,thankyou
Answers
Answer:
C.
Step-by-step explanation:
the answer is D not c
cause try it then see
A bag has 24 marbles: 6 green, 6 red, and 12 blue. Lucy reaches in the bag and picks out 1 marble. Answer the following:
What is the total number of marbles?
What is half the total number of marbles?
Name an event that is impossible:
Name an event that is certain:
Name an event that is as likely as not:
Name an event that is more likely than not:
Name an event that is unlikely:
Answers
Final answer:
The bag has 24 marbles, with 12 marbles constituting half of the total. An impossible event would be drawing a marble color not present in the bag, while a certain event is the act of drawing a marble itself. A likely event is drawing a blue marble due to its greater number in the bag.
Explanation:
The total number of marbles in the bag is 24 marbles. Half the total number of marbles would be 12 marbles.
An impossible event would be Lucy picking out a marble that is not green, red, or blue since those are the only colors available in the bag.
A certain event is Lucy picking a marble from the bag, as there are marbles to be picked.
An event that is as likely as not is Lucy picking out a red marble since the probability of picking a red marble is 6 out of 24, which simplifies to 1 out of 4.
An event more likely than not is Lucy picking out a blue marble, given there are 12 blue marbles out of 24.
An unlikely event is Lucy picking out a green marble since there are only 6 green marbles out of 24.