Answer:
nweoksowjxu928idvdiwd9w
Scientists are conducting an experiment with a gas in a sealed container. The mass of the gas is measured, and the scientists realize that the gas is leaking over time in a linear way. Its mass is leaking by 9.7 grams per minute. Eight minutes since the experiment started, the remaining gas had a mass of 339.5 grams. Let x be the number of minutes that have passed since the experiment started, and let y be the mass of the gas in grams at that moment. Use a linear equation to model the weight of the gas over time.
a. This line's slope-intercept equation is ___________
b. 31 minutes after the experiment started, there would be ____________ grams of gas left.
c. If a linear model continues to be accurate,______________ minutes since the experiment started, all gas in the container will be gone.
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.
A picture shows the net of the lateral surface of the cone. Which statement about this cone is NOT true?
Answer:
Area of the Net is incorrect
Step-by-step explanation:
Base Surface Area = π×12^2
= 452.38934211693 inches^2
Lateral Surface Area = π×12×√12^2 + 15^2
= 724.1762903163 inches^2
Total Surface Area = 1176.5656324332 inches^2
A universitys freshman class has 8900 students. 3471 of those students are majoring in Engineering. What percentage of the frehman class are Engineering majors?
Answer:
39%
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
y= 9 x= -42
Step-by-step explanation:
find the product 27x3
Answer:
81
Step-by-step explanation:
2
27
x 3
------
8 1
Answer:
81
Step-by-step explanation:
27 × 3
81
A company is buying desks and chairs for their new offices. Desks cost $ 225 each and chairs cost$75 each. They have a budget of $1,400. Given the budget, which is a viable option for the furniture they can purchase?
a.5 desks and 4 chairs
b.2 desks and 13 chairs
c.3 desks and 10 chairs
d.4 desks and 6 chairs
PLEASE HELP!
Answer:
D
Step-by-step explanation:
4 desks at $225 each equals $900 (4 × 225)
6 chairs at $75 each equals $450 (6 × 75)
$900 + $450 = $1350
The answer is D
Find the equation of a line perpendicular to -3x + 5y = -1 that contains the point (0, -5)
Answer:
y = -5/3x - 5
Step-by-step explanation:
convert -3x + 5y = -1 to slope-intercept form:
5y = 3x - 1
y = 3/5x - 1/5
slope of a line perpendicular to the above equation would be -5/3
y = mx + b
-5 = -5/3(0) + b
b = -5
y = -5/3x - 5
THIS IS IREADY PLEASE HELP RIGHT ANSWER (Only)
1. What section of park is located at 7,0? A. Duck pound B. Gardens C. Bike trail D. parking lot.
Answer Bike trail
Step-by-step explanation:
Answer:
Bike trail
Step-by-step explanation:
Use the diagram below to answer the questions.
-17h
119°
с
G
Find m_PCT
Answer:
119°
Step-by-step explanation:
It’s 119. You don’t need to solve for h.
Evaluate the expression when x-=12.5 and y=6 12x-3y^2
Answer:
Step-by-step explanation:
Expresión x--12.5*y-612*x-3*y-2 = 9.5*y-611.0*x-2.0
Solve and check the equation.
x/9=x/10-4
Answer:
x = -360
Step-by-step explanation:
x/9 = x/10 - 4
=> x/9 - x/10 = -4
=> x/10 - x/9 = 4
=> 9x/90 - 10x/90 = 4
=> -x/90 = 4
=> -x = 90(4)
=> x = -360
Find dy/dx using logarithmic differentiation.
y = (3 + x)^4/x , x>0
Marco is building with bricks. He needs 560 bricks total to build a wall, but only has 445. The price per 5 bricks is $25. How much money does Marco need for a total of 115 bricks?
Answer:
575$
Step-by-step explanation:
If each 5 bricks is 25$ and Marco already has 445 all he needs is 115 more bricks and 115 divided by 5 is 23 so 23 groups of 5 bricks and 23*25 is 575$
I hope this was helpful!!
Tanner had $42.80 and spent 20% of his money on a book including tax. If he paid with a $10 bill, how much change did Tanner get back?
A. $7.28
B. $6.24
C. $1.44
D. $17.54
The points (-16, 12) and (-29, 10) form a line segment.
Write down the midpoint of the line segment.
Midpoint Definition: The point where a line is perfectly split in half
Coordinates exist in the form of ( x, y )
Generally, you find the midpoint by adding up the two numbers and dividing the sum by 2.
In other words,
Midpoint = ( [tex]\frac{x1+x2}{2} , \frac{y1+y2}{2}[/tex] )
You should get ( -22.5, 11 ) as your answer.
Poru
1. It is a relationship that compares two or more quantities
A. quantity
B ratio
C. fraction
D. colon
find the value of 2xy+3yz-xyz, when x=2, y=-2, z=4
Answer:
-16
Step-by-step explanation:
2xy + 3yz - xyz
x = 2, y = -2, z = 4
First, plug these values into the equation.
2(2)(-2) + 3(-2)(4) - (2)(-2)(4) = ?
Next, multiply the parentheses.
(-8) + (-24) - (-16) = ?
When you add a negative, you are actually subtracting the number. And when you subtract a negative, you are actually adding the number. Apply this to the equation.
-8 - 24 + 16 = ?
Now, simplify from left to right.
-32 + 16
-16
Your answer is -16.
Hope this helps!
Find the slope of the line passing through the points (-2,3) a
and
(-9,6).
===================================================
Apply the slope formula
m = (y2-y1)/(x2-x1)
m = (6-3)/(-9-(-2))
m = (6-3)/(-9+2)
m = 3/(-7)
m = -3/7
This means each time you go down 3 units, you go to the right 7 units.
Slope = rise/run = -3/7
rise = -3 and run = 7
f(x) = -x + 2, find f(6)
Answer:
f(6)=-(6)+2=-4
........................
a pack of pens cost $3. Prisha spent $12 on pens. Each pack has 5 pens How many packs did Prisha buy?
Answer: 4
Step-by-step explanation: I think
simplify the expression 3x+2x
Answer:
=5x
Step-by-step explanation:
3x+2x
=3x+2x
=x+x+x+x+x
=5x
Step-by-step explanation:
step 1. 3x + 2x = 5x. that is the answer.
[tex] \frac{ \sqrt{40} }{ \sqrt{3} } [/tex]
Answer:
[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{2\sqrt{30} }{ 3 }[/tex]
Step-by-step explanation:
Given
[tex]\frac{ \sqrt{40} }{ \sqrt{3} }[/tex]
Required
Simplify
[tex]\frac{ \sqrt{40} }{ \sqrt{3} }[/tex]
Rationalize:
[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{40} }{ \sqrt{3} }*\frac{ \sqrt{3} }{ \sqrt{3} }[/tex]
[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{40*3} }{ \sqrt{3*3} }[/tex]
[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{120} }{ \sqrt{9} }[/tex]
[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{120} }{ 3 }[/tex]
Expand the numerator
[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{4*30} }{ 3 }[/tex]
[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{4}*\sqrt{30} }{ 3 }[/tex]
[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ 2*\sqrt{30} }{ 3 }[/tex]
[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{2\sqrt{30} }{ 3 }[/tex]
The flight path of a plane is a straight line from city J to city K. The roads from city J to city K run 9.4 miles south and then 15.1 miles east. How many degrees east of south is the plane's flight path, to the nearest tenth?
Answer:
Step-by-step explanation:
[tex]tan\theta =15.1/9.4\\ \\ \theta =tan^{-1}(15.1/9.4)\\ \\ \theta \approx 58.1^o[/tex]
Answer:
Step-by-step explanation:
ABCD is a parallelogram. If m/CDA = 63, then m/ABC = ? . The diagram is not to scale
it’s 63 because the sides are equal on both sides
Wat is the word form for 8.008
Answer:
8.008 in Words: eight and eight thousandths in (US) American English, Number Converted (Spelled Out) to Words.
Two different age groups were surveyed about the amount of time they spent on social media.
For b you had to add 25 and 35 together to make 60.
Divide 60 by 2 to get 30. 30 is the average between the two numbers. You then find the frequency of 30 using the graph. For the 12 year olds it is 40 and for the 18 year olds it is 60. Find the difference between these 2. So 60-40= 20
*PLEASE FIND THE ANSWER QUICK!!!!!* Find the SA of this solid. please show the unit measure in your answer
Answer:
The SA of the rectangle is 270. The SA of both the triangles is 24
James determined that these two expressions were equivalent expressions using the values of x = 4 and x = 6. Which statements are true? Check all that apply.
7 x + 4 and 3 x + 5 + 4 x minus 1
-When x = 2, both expressions have a value of 18.
-The expressions are only equivalent for x = 4 and x = 6.
-The expressions are only equivalent when evaluated with even values.
-The expressions have equivalent values for any value of x.
-The expressions should have been evaluated with one odd value and one even value.
-When x = 0, the first expression has a value of 4 and the second expression has a value of 5.
-The expressions have equivalent values if x = 8.
Answer:
When x=2, both expressions have a value of 18.
The expressions have equivalent values for any value of x.
The expressions have equivalent values if x=8
Step-by-step explanation:
solve and receive brain list
Answer:
it is called COLD DRANK
Step-by-step explanation:
REAPEAT AFTER ME COLD DRANK OK C-O-L-D D-R-A-N-K
Answer:
Step-by-step explanation:
6x + 26 = 8x - 12 ( 1 - 3x )
6x + 26 = 8x - 12 + 36x
Doing like terms on one side,
6x -8x -36x = -12 -26
-38x = -38
x = -38 / -38
x = 1
Hope this helps you. Do vote my answer.
Thanks
Darlene's cat had a litter of southern kittens Three of the kittens were black what fraction of the kittens were not black also right this fraction into a division problem
Answer:
1/4
Step-by-step explanation: