Answer: a. This line's slope-intercept equation: y=-9.7x+417.1
b. 31 minutes after the experiment started, there would be 116.4 grams of gas left.
c. If a linear model continues to be accurate,43 minutes since the experiment started, all gas in the container will be gone.
Step-by-step explanation:
Linear equation: y=mx+c (slope-intercept equation)
, where m= rate of change in y with respect to change in x , c= Initial value.
Let y= Mass of remaining gas after x minutes.
m= -9.7 (given)
At x= 8, y=339.5
Thus,
[tex]339.5=(-9.7)(8)+c\\\\\Rightarrow\ 339.5=-77.6+c\\\\\Rightarrow\ c= 339.5+77.6=417.1[/tex]
a. This line's slope-intercept equation: y=-9.7x+417.1
b. At x= 31 minutes
y=-9.7(31)+417.1
⇒ y=-300.7+417.1
⇒ y=116.4
31 minutes after the experiment started, there would be 116.4 grams of gas left.
c. Put y=0, we get
[tex]0=-9.7x+417.1\\\\ x=\dfrac{417.1}{9.7}\\\\ x=43[/tex]
If a linear model continues to be accurate,43 minutes since the experiment started, all gas in the container will be gone.
Two unequal values that are compared using less than (<) and greater than (>) signs.
Answer:
I'm pretty sure it's D
Step-by-step explanation:
maths
Using the data from the table, which statements are correct?
A)
The ratio of Y is consistent.
Х
G
B)
The ratio of Y is not consistent.
Х
C)
The table represents a proportional relationship.
D)
The table does not represent a proportional relationship.
E)
The graph of the data shown on the table is a straight line.
Answer: The table represents a proportional relationship.
Can you please help me
Step-by-step explanation please
Answer:
x=9
Step-by-step explanation:
It’s a ratio.
2/6=5/(6+x)
cross-multiply
12+2x=30
2x=30-12
2x=18
x=9
Or even more simply:
2/6=3/x
2x=18
x=9
Business Maths
1703
The following problems were in your worksheet on direct and inverse proportion. Reformulate the
relationships as algebraic expressions and remember to define the variables you use. You do not
have to solve the expressions.
5. The students in class usually drink a lot of water to help with their studies. I have found that
with five students in the class at least 30 litres of water is needed. How much water will be
needed when there are 30 students in the class?
Answer:
30/5=6
6*30=180
So 180 litres
Please help me with steps
Answer:
224 cm³
Step-by-step explanation:
Decompose the figure into two cuboid.
Volume of the bigger cuboid = L*W*H
L = 7 cm
H = 7 cm
W = 4 cm
Volume of the bigger cuboid = 7*7*4 = 196 cm³
Volume of smaller cuboid = L*W*H
L = 7 cm
W = 2 cm
H = 2 cm
Volume of smaller cuboid = 7*2*2 = 28 cm³
✅Volume of the figure = 196 cm³ + 28 cm³ = 224 cm³
divide 7 by 2 then subtract p from the result.
Answer:
3.5/p
Step-by-step explanation:
7/2 = 3.5
Answer:
[tex]\frac{7}{2}[/tex]-p is the equation
Step-by-step explanation:
Joe and his friend are going hiking they bring with them a container that holds 1/2 of gallons of water if they share the water equally will fraction of a gallon would each friend get?
A. 1/3
B. 3/2
C. 1/4
D. 1/6
what is the perimeter, in centimeters, of a right triangle that has leg lengths of 8centimeters and 11 centimeters? round to the nearest tenth
Answer:
90
Step-by-step explanation:
8 x 11 = 88
So now you have to add 2 to get to the nearest 10. ;)
If a=-9 and b= -4, what is the value of a + b?
0-5
5
-13
13
Answer:
The answer is -13.
Step-by-step explanation:
-9 + -4 = -13
Find the value of x.
a) 21
b) 27
c) 31
d) 34
Answer:
21 is the answer
a question arises how?? right
so, 3x+1
3×21+1
63+1
64
Answer:
a) 21
Step-by-step explanation:
Since, in the figure
64° = (3x+1)° [Vertically Opposite Angles]
=> (3x+1)° = 64°
=> 3x = 64° - 1° = 63°
[tex] => x = \frac{63}{3} [/tex]
=> x = 21 (Ans)
Can someone explain to me how to do this problem?
x • 1 + x/1 =
1/2
¿Cuántos envases de 1/2 de litro
se pueden llenar con el líquido de
una tina de 12 litros?
One fifths the difference between 2/5 and 1/2
Answer:
1/50
Step-by-step explanation:
1/2 - 2/5 = 5/10 - 4/10 = (5-4)/10 = 1/10
1/5 * 1/10 = 1/(5*10) = 1/50 = 0.02
Answer:
1/50
Step-by-step explanation:
1/2 - 2/5 = 5
/10 - 4/10 =
1/10 / 5 =
1/50
Hope that helps!
please tell fast plzzzzzz
Step-by-step explanation:
1x+4x=180(sum of supplementary angles)
5x. =180
x. =180/5
x. = 36
Draw a Triangle whose tangent is 2. Find the values of the other five trigonometric functions
Answer:
you gonna answer it
Step-by-step explanation:
Because that's yours book
f(x) = -4 cual es su grafica
PLEASE HURRY!
Type the correct answer in each box.
The table shows Alice's age (a) and her daughter Martha's age (m). Complete the table and the equation.
Alice’s Age in Years
(a) Martha’s Age in Years
(m)
28 6
33 _
37 15
41 19
48 _
This equation relates Alice’s and Martha's ages in years.
Alice’s age (a) = Martha’s age (m) + _
Answer:
33-11
48-26
Alice’s age (a) = Martha’s age (m) + 22
Step-by-step explanation:
In order to find the blank spots you would need to find the difference in the filled spots. We are trying to figure out the difference which is subtraction.
28 - 6 = 22
To make sure we are correct we would do another problem.
37 - 15 = 22
So in order to find Martha's age when Alice was 33, we would subract 22.
33 - 22 = 11
Same when Alice was 48.
48 - 22 = 26
And the last equation is asking the difference between them, which would be 22.
Answer: 11 and 26
Step-by-step explanation:
hope this helps :)
Plz help! Answer at least one of these questions and i will give you brainly! It’s ok if you don’t know them all!
What are the slope and y intercept of the linear function that is represented by the table
Answer:
Slope of the line is 3
Y-intercept is (3/2) three-halves
Explanation:
I saw this also on Brainly! Hope this helps! :)
A piece of fabric is 2 yards long. The fabric is cut into 24 pieces of equal length.
How long is each piece?
2 inches
3 inches
4 inches
6 inches
Answer:
3 inches
Step-by-step explanation:
Answer:
3 in
Step-by-step explanation:
What are the coordinates of the x-intercept of the line 3x - 2y = 12?
Answer:
(4,0)
Step-by-step explanation:
Which statement is true about this data set?
3,1, 6, 4, 4, 4, 3, 2, 5, 3
Answer:
What statements?
Step-by-step explanation:
Is there a list of statements for this question? I would love to help!
2 1/3 x (-3 2/7) what does it equal I’m doing “multiplying signed fractions”
helppppppppppppppppppppp
We can apply the Pythagorean theorem:
c= (SQ)
a=RQ = 4
b=RS = 4
c²=a²+b²
c=√(16+16)
c=√32
c=4√2
SV=0,5*SQ
SV=0,5*c
SV=√2
multiply c by 9, then add 2 to the result
Answer:
9c+2
Step-by-step explanation:
A class of 37 students took a test worth 100 points. The five-number summary of their scores is 55, 67, 73, 81, 98. Identify the FALSE statement: Group of answer choices At least 25% of the students scored a 67 or below. At least 18 students scored below a 67. At least 9 students scored between 67 and 73. At least 25% of the students scored an 81 or above.
Answer:
At least 18 students scored below a 67.
Step-by-step explanation:
Given the 5 number summary of scores obtained by 37 students in a test worth 100 points :
55, 67, 73, 81, 98
Minimum = 55
Q1 = 67
Q2 = 73
Q3 = 81
Maximum = 98
Q1 = first quartile = 25%
Atleast 25 % scored below 67 (True)
25% of 37 students = 0.25 * 37 = 9.25
Atleast 9 students scored below 67 (True)
Median, Q2 = 50%
Score between Q2 and Q1 = 50% - 25% = 25% ;
Hence, atleast 25 students scored between 73 and 67 ; meaning (0.25 *37) = 9.25 students Hence. Atleast, 9 students scored between 73 and 67 (True)
Third quartile = 75%
Percentage above third quarterile = (100 - 75)% = 25%
Hence, atleast 25% scored above 81 (True)
The false statement is At least 18 students scored below a 67.
The tape diagram represents an equation. w 1.3 2.7
Answer: 2/3
Step-by-step explanation:
Answer: w + 1.3 = 2.7
Step-by-step explanation: i did it in khan academy ∩(︶▽︶)∩ HOPE IT HELPS
What is the slope of y = -x + 7?
Answer:
The slope is -1
Anna and josh are putting up lights for a party. For every 4 blue lights they put up 2 red lights. If they put up 120 lights. How many are blue?
Answer:
80 blue
Step-by-step explanation:
r=red
b=blue
4b+2r=6 lights in one light cluster
120/6=20 clusters
20 clusters of 4 blue lights =80
Find the missing lengths or missing angles
Answer:
hj=6
because it's angle are equal and equilateral triangle have equal angles so, the length is 6
