A yogurt machine makes
gallon of yogurt
every minute. The total amount y that the
machine makes in x minutes is given by
the equation y
]×. Determine whether the
relationship between x and y is linear and, if
so, if it is proportional,
Answers
Step-by-step explanation:
the relationship between x and y is defined by a constant factor.
you can "go" from x to y and from y to x consistently and without any interruptions by applying that constant factor.
that makes it a linear relationship (a line on a chart, hence the name).
proportional relationships are relationships between two variables where their ratios are equivalent. another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".
so, yes, it is proportional.
and the table is then
x y
0 0
3 3×2/3 = 2
6 6×2/3 = 4
9 9×2/3 = 6
Related Questions
( Pls help ASAP) Will give 20 points if you answer 2 questions))
Answers
Answer:
1. -3 2. y=-1
Step-by-step explanation:
Divide and simplify if possible sqrt 250x^16/sqrt 2x.
Answers
Answer:
125x^15
Step-by-step explanation:
Hope this helps! :)
If the area of a circle is 64 pie square centimeters, then what is its radius
Answers
Answer:
8
Step-by-step explanation:
A=πr^2
64π=πr^2
since answer is in terms of pi, ignore the pi.
sqrt(64)=8
Find the area of the shaded region. Round to the nearest tenth where necessary (1 decimal places).
A=
14 in
8 in
5 in
25 in
Answers
Answer:
5 in
Step-by-step explanation:
The area of a composite shape: area of the bigger shape - the area of the smaller shape.
In this case, the bigger shape is the shaded region, and the smaller shape is the unshaded region.
1) Shaded region (bigger shape): 2(area of a trapezium) + area of the rectangle.
Area of a trapezium: 1/2 x (a + b) x h, where a and b are parallel lines and h is the height. We have to times the answer by 2 because there are two trapeziums in the shaded region.
Area of a rectangle: l x w, where l is the length and w is the width.
Trapeziums
= 1/2 x (3 + 8) x 5.5 x 2
= 1/2 x 11 x 5.5 x 2
= 1/2 x 60.5 x 2
= 30.25 x 2
= 60.5
Rectangle
= 14 x 3
= 42
Area of the shaded region (bigger shape): trapezium + rectangle
= 60.5 + 42
= 102.5
2) Unshaded region (smaller shape):
Area of a trapezium: 1/2 x (a + b) x h, where a and be are the parallel lines.
= 1/2 x (14 + 25) x 5
= 1/2 x 39 x 5
= 1/2 x 195
= 97.5
3) Area of the bigger shape - the area of the smaller shape
= 102.5 - 97.5
= 5 in²
A food truck did a daily survey of customers to find their food preferences. The data is partially entered in the frequency table. Complete the table to analyze the data and answer the questions:
Likes hamburgers Does not like hamburgers Total
Likes burritos 38 77
Does not like burritos 95 128
Total 134 71
Part A: What percentage of the survey respondents do not like both hamburgers and burritos? (2 points)
Part B: What is the marginal relative frequency of all customers that like hamburgers? (3 points)
Part C: Use the conditional relative frequencies to determine which data point has strongest association of its two factors. Use complete sentences to explain your answer. (5 points)
Answers
Answer:
A:
18.5%
B:
124 / 205
C:
75 / 113. 66.4% Strongest
49 / 92. 53.2% Middle
38 / 81 46.9% Weakest
75 / 113 is the strongest because it has the highest percentage fore the conditional relative frequencies. The others are weaker because they have as high of a percentage.
Step-by-step explanation:
The answers are shown below:
What is Conditional relative frequency?A conditional relative frequency compares a frequency count to the marginal total that represents the condition of interest.
a) Out of 205 people, 38 like neither, hence:
Percentage= 38/ 205 *100= 18.54%
b) Out of the 205 participants, 205 - 81 = 124 like hamburgers, hence:
= 124 / 205
=0.6049
c)The table is, dis considering the totals:
49 - 43
75 - 38
Due to the higher total, the data that has the strongest association of its two factors is liking hamburgers and not liking burritos.
Learn more about this concept here:
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You drop a stick from a height of 64 feet. At the same time, your friend
drops a stick from a height of 144 feet.
a. After how many seconds does your stick hit the ground?
b. How many seconds later does your friend's stick hit the ground?
Answers
Using a quadratic function, it is found that:
a) It hits the ground after 2 seconds.
b) Your friend's stick hits the ground 0.83 seconds later.
What is the quadratic function for the projectile's height?It is given by:
[tex]s(t) = -16t^2 + v(0)t + h(0)[/tex]
In which:
v(0) is the initial velocity.h(0) is the initial height.Item a:
Dropped at rest from a height of 64 feet, hence v(0) = 0, h(0) = 64, so the equation is:
[tex]s(t) = -16t^2 + 64[/tex]
It hits the ground when s(t) = 0, hence:
-16t^2 + 64 = 0
t^2 = 4
t = 2.
It hits the ground after 2 seconds.
Item b:
For your friend, we have that h(0) = 144, hence:
-16t^2 + 144 = 0
t^2 = 8.
t = 2.83.
2.83 - 2 = 0.83.
Your friend's stick hits the ground 0.83 seconds later.
More can be learned about quadratic functions at https://brainly.com/question/24737967
What is the radius of a circle (rounded to the nearest tenth) that has an area of 48?
Answers
Answer:
3.9
Step-by-step explanation:
Use the formula A = πr^2 (area of a circle = Pi times radius squared)
Plug in what we know:
48 = πr^2 (first, divide 48 by Pi = that would equal 15.27887 continued, round it to the nearest tenth and you would get 15.3)
15.3 = r^2 (now, we find the square root of 15.3, 3.9115 continued, round it to the nearest tenth, and it will be 3.9)
3.9 = radius
The radius of the circle (rounded to the nearest tenth) is 3.1.
What is a circle?A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle.
And the general formula of the circle,
(x – h)²+ (y - k)² = r²,
where (h, k) is the center and r is the radius of the circle.
The formula for the area of a circle is A = πr², where A is the area and r is the radius.
We can use this formula to solve for the radius of the circle with an area of 48:
A = πr²
48 = πr²
Dividing both sides by π gives:
r² = 48/π
Taking the square root of both sides gives:
r = √(48/π)
r ≈ 3.1
Therefore, r ≈ 3.1.
To learn more about the circle;
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Help Anyone please? >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
Which system represents the statements below?
The sum of two numbers is 10. One number is five times the other.
Answers
Answer:
the answer is c
Step-by-step explanation:
y = 5x
as it says x + y = 10
so one number which is represented as x is times 5 as the other which brimg to our answer y =5x
7(4-x) how do I do this problem
Answers
Answer:
28-7xStep-by-step explanation:
You distribute 7 and 4 and 7 and the xHopes this helps.k (a+b) = k*a + k*b
so
7 (4-x) = 7*4 + 7*(-x) = 28 - 7x
HELP ASAP WILL GIVE BRAINLIEST!!!
Answers
Answer:
1222 ft^2
Step-by-step explanation:
2(13x9) + 2(5x12) + 2(4.5x9) + 2(9x11) + 2(19x11) + (19x9)
What is the measure of
Answers
Answer:
since it goes down a certain way and it goes down then B will go the same way as a evil ghost literally down to the phone the top right to the left like see if I just a little bit shorter Jay will go all the way up to age and we will go to k
pls help with this brain boggling work
:)
Answers
Answer:
$10/hour
Step-by-step explanation:
The graph shows the relation between the number of hours Hachi works to the money he earns at his jobSolving
Pay rate = Money earned / Number of hoursPay rate = 10/1 = 20/2 = 30/3 = .... ⇒ $10/hourTake two points and find slope
(0,0)(1,10)Slope
m=10-0/1-0m=10/1m=10Pay rate 10$/h
if 10x+6 = 21 then what is 15
Answers
Answer:
The answer is
→ 1.5 or 10x = 15
Step-by-step explanation:
Since 10x + 6 = 21 and we supposed to find what 15 is, we would have to use these steps;
First subtract 6 on both sides
10x + 6 - 6 = 21 - 6
= 10x = 15
Another way I know the other answer is by multiplying 10 by 1.5 which equals 15.
Which term describes a line segment that connects a vertex of a triangle to a point on the line containing the opposite side, so that the line segment is perpendicular to that line?
Answers
Answer: C
Step-by-step explanation:
I just need to fill the table out
Answers
Answer:
for cosine: 1, 0.97, 0.87, 0.71, 0.5, 0.26, 0..... for sine: 0, 0.26, 0.5, 0.71, 0.87, 0.97, 1.
Step-by-step explanation:
Calculator for Cos, reverse them for Sine.
Two friends share a protein bar which weighs 7 ounces. Each friend eats the same amount of the protein bar. Between which two
whole numbers does the number of ounces of the protein bar that each friend eats lie?
HELP
Answers
Sorry but no speek English
Answer:
3 and 4
Step-by-step explanation:
3.5 ounces is 7/2 so if they eat the same amount they would both eat 3.5 ounces.
Solve for x in the trig function
Answers
Step-by-step explanation:
cos(81) = x/sqrt(7)
x = sqrt(7)×cos(81) = 0.413886691...
A ball is thrown from an initial height of 4 feet with an initial upward velocity of 33 ft/s. The ball's height h (in feet) after t seconds is given by the following.
h= 4 + 33t - 16t^2
CAN SOMEONE PLEASE PLEASE HELP ME
Find all values of t for which the ball's height is 20 feet.
Round your answer(s) to the nearest hundredth.
Answers
Answer:
Two methods both tell us the ball is at 20 feet height at 0.783 seconds going up and 1.28 seconds on the way down.
Step-by-step explanation:
The question can be answered by either calculation or by graphing.
Calculation:
Set the equation to h = 20 feet and solve with the quadratic equation.
h= 4 + 33t - 16t^2
4 + 33t - 16t^2 = 20
- 16t^2 + 33t + 4 = 20
- 16t^2 + 33t - 16 = 0
I find solutions of 0.779 and 1.28 seconds.
Graphing:
See the attached graph.
The graph shows solutions of 0.783 and 1.28 seconds.
Both methods show the ball to be at 20 feet height at 0.783 seconds going up and 1.28 seconds on the way down.
6:4 is equivalent to ___:24.
What number do you think should go on the blank?
Answers
Answer:
36:24
Step-by-step explanation:
The second number was :24, and you started out with 6:4.
To get the 24, you would have to multiply the 4 by 6 to get the 24.
So, multiply the first number 6, as well by 6.
6 x 6 = 36
36:24
:)
Answer: 36
Step-by-step explanation: 6:4 = __:24
1. 4 goes into 24, 6 times because 4x6=24 so you have to multiply 6 to 6 and 6x6=36.
pls help me thank you very much and if your gonna put a wrong answer dont waste my time
Answers
Answer:
60 degrees
Step-by-step explanation:
well, angle x is on a line with a little square that means 90 degrees and a 30 degree angle, so you would simply add those two angles together 90+30=120 and then subtract by 180 because a straight line is always 180 degrees which is 180-120=60 degrees.
point grab lol
Rebecca is calculating her expected expenses for her week long trip to Thailand. Her plane ticket costs 22,885 baht, her lodging costs 15,307 baht, and she has set aside 29,071 baht for food and spending money. What is Rebecca’s total expense? a. 128,071 baht b. 67,263 baht c. 21,493 baht d. 9,121 baht.
Answers
Answer:
The answer is B because you add up the 3 expenses
Step-by-step explanation:
Add the three expenses
The total expected expense of Rebecca for her week long trip to Thailand is given by: Option B: 67,263 baht
How to calculate total expense?Total expense shows the overall expense for the thing we're expending for. We add all the expenses to get the total expense.
For this case, we're given that:
Cost of plane tickets = 22,885 bahtCost of lodging = 15,307Cost for food and other expenses = 29,071So, total expected expense is sum of all these expenses.
Total expected expense = 22885 + 15307 + 29071 = 67263 baht
Thus, the total expected expense of Rebecca for her week long trip to Thailand is given by: Option B: 67,263 baht
Learn more about addition here:
https://brainly.com/question/1709448
What is the Inverse of function ?
f(x) = (3-x)/7
Answers
Answer:
y = -7x+3
Step-by-step explanation:
We can write the function as
y = (3-x) / 7
To find the inverse of this function we have to do 2 things
a. change x with y and y with x and
b. find the y
a. y = (3-x) / 7, change x with y and y with x
x = (3-y) / 7, multiply both sides by 7
b. 7x = 3-y, subtract 3 from both sides
7x-3 = -y, multiply both sides by -1
-7x+3 = y
The inverse function of
f(x) = (3-x)/7 is [tex]f^{-1} (x) = -7x + 3[/tex]
Please help with one through three Brainliest to the correct in best answer
Answers
Answer:
1. Alike
2. Opposite
3. Common factor
Step-by-step explanation:
1. To have a positive number, you can only have alike signs, for example, any positive number times another positive number is always positive. The same is true for negative numbers multiplied by each other.
2. To have a negative number, there has to be one negative number and one positive number being multiplied together. Always. For example:
3 x -5 =-15
10 x -1 = -10
3. You can factor out a common factor to simplify a polynomial before you factor it.
Edmond buys 4/5 of a kilogram of butterscotch chips and 5 kilograms of milk chocolate chips.
How much does he spend?
milk chocolate chips
$1 per kg
white chocolate chips
$2 per kg
dark chocolate chips
$3 per kg
butterscotch chips
$1 per kg
semisweet chocolate chips
$2 per kg
Answers
1 x 4/5 = 0.8
1 x 5 = 5
I need help please provide the steps
Answers
Answer:
1/[tex]\sqrt{2}[/tex] - 1/4
Step-by-step explanation:
We can write 2[tex]\sqrt{8}[/tex] as 2*[tex]\sqrt{4}[/tex]*[tex]\sqrt{2}[/tex]
That becomes 4[tex]\sqrt{2}[/tex], since the square root of 4 is 2 (±2, to be exact)
(4/(4[tex]\sqrt{2}[/tex]) - ( [tex]\sqrt{2}[/tex]/4[tex]\sqrt{2}[/tex])
1/[tex]\sqrt{2}[/tex] - 1/4
a kite is 50 m high when 200 m of sting is let out. what angle does the kite string make with the ground to the nearest tenth of a degree?
the angle between the kite string and the ground is ?
Answers
Check the picture below.
Make sure your calculator is in Degree mode.
a store is having a clearance special and every item is 20% off what is the sale price of a 230 suit
Answers
Answer:
184
Step-by-step explanation:
80% of 230
0.8x230
8×23
=184
help me please lease
Answers
Answer:
m = 4
Step-by-step explanation:
(80, 40) and (90, 80)
40/10= 4
Answer:
4
Step-by-step explanation:
choose two points
I chose (80,40) and (90,80)
(80-40)÷(90-80)
40/10
4
A gas station sells motor oil in 2-liter bottles. The gas station sold 6 bottles of oil each day for 8 days.
How many liters of motor oil did the gas station sell in these 8 days?
Answers
Answer:
96 liters
Step-by-step explanation:
Two liters are in each bottle, so that means they sold 12 bottles of oil each day. Multiply that with 8 days to get the answer:
12 × 8 = 96
Ninety-six liters.
What is X?
(x+22) 2x
(Need help)
Answers
Answer:
nasa pic yung sagot
hope its help