The equation which correctly models the decreasing supply of helium as described in the task content is; y = 35 - 0.21x.
Which equation correct models the decreasing supply of helium?It follows from the task content that the equation which correctly models the decreasing supply of helium according to the description is to be determined.
Let, y = amount of helium remaining.
Let x = no of years since 2018.
First, one must convert 210 million to billion cubic feets as follows;
210 million = (210/1000) billion.
= 0.21 billion cubic meters per year.
The number above represents the rate of change of the linear model, otherwise termed the slope.
On this note, since the starting deposit of helium in 2018 was; 35 billion.
This insinuates that the y-coordinate of the y-intercept of the required model is; 35.
Hence, the required decreasing Linear model for the supply of helium is;
y = 35 - 0.21x.
The equation above follows from the slope-intercept form of a linear equation.
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The following table shows the different savings account available at Capital Bank. Use the table to answer questions
Kate is depositing $5,000 into an account for her son’s education. Which account should she choose?
A. Teen Savings, because her son is a teen
B. College Savings, because she meets the minimum deposit and it earns more interest
C. Regular Savings, because it earns compound interest.
D. Platinum Savings, because it has the highest interest rate.
Based on the accounts and the benefits they offer, Kate should choose B. College Savings, because she meets the minimum deposit and it earns more interest
Which account is best for Kate?Kate should pick the college savings account for two reasons with the first being that the $5,000 she wants to deposit meets the minimum deposit amount of $1,000.
The second reason is that the account earns more interest than other account.
Even though it is simple interest, the 9% is still much higher than the compound interest of 1% that the regular account gives.
Kate should choose college savings.
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64x+60 simplified expression
Answer:
4(16x+15)
Step-by-step explanation: They both have the common factor of 4
explaining how to use linear pairs and vertical anglesimagine two lines intersect. how can the properties of linear pairs and vertical angles help to determine the angle measures created by the intersecting lines? explain.
How do you find the equation of 5x-28=-3
Answer:
Step-by-step explanation:
5x-28=-3
You want to isolate x.
First, add 28 to both sides to isolate 5x, what you do to one side you do to the other, so:
5x= 25
Seperate 5x by dividing it, so 25/5.
x = 5 is your answer.
PLEASE HELP ME ANSWER 34,36
elect the correct answer from each drop-down menu. Which system of equations is represented by this graph? Graph shows system of equations plotted on a coordinate plane. A line goes through (minus 6, 0) and (0, minus 3). Another line goes through (0, 3) and (minus 4, minus 5). y = x + 3 y = x − 3
The equation of the line traveling through (-6, 0) and (0, -3) is mathematically given as
y = -(1/2)x - 3
The equation of the line traveling through (0, 3) and (-4, -5) is mathematically given as
y = 2x + 3
What exactly is an equation, then?An expression known as an equation is one that illustrates the connection between two or more sets of numbers and variables.
The equation of the line traveling through (-6, 0) and (0, -3) is:
y - 0 = [(-3 - 0) / (0- (-6)](x - (-6))
y = -(1/2)x - 3
The equation of the line going through (0, 3) and (-4, -5) is:
y - 3 = [(-5 - 3) / (-4 - 0)](x - 0)
y = 2x + 3
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x² + 4y² + 3x + 2y 56= 0, 5x - 2y + 7 = 0
Answer:
bat pa kasi pinapangita ang ex
rounded to the nearest tenth, what is the perimeter of rectangle abcd? a. 10.8 inches b. 13.7 inches c. 15.0 inches d. 18.7 inches
The perimeter of the rectangle ABCD is 13.7 inches.
What is the perimeter of the rectangle?The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.
The perimeter of a rectangle = 2(L+W)
Where W is the width of the rectangle and L is the length of the rectangle
⇒ sin30° = AD/AC
⇒ AD = AC(sin30°) = 5(1/2)
⇒ AD = 2.5 inches
⇒ sin60° = CD/AC
⇒ CD = AC(sin30°) = 5(√3/2)
⇒ CD = 4.33 inches
The perimeter of rectangle ABCD = 2(AD) + 2(CD)
The perimeter of rectangle ABCD = 2(2.5) + 2(4.33) = 5 + 8.66
Rounded to the nearest tenth
The perimeter of rectangle ABCD = 13.66 ≈ 13.7 inches
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The question seems to be incomplete the correct question would be
Rounded to the nearest tenth, what is the perimeter of rectangle ABCD?
rectangle ABCD with diagonal AC, labeled as measuring 5 inches, angle BAC measuring 30 degrees, angle BCA measuring 60 degrees, angle DCA measuring 30 degrees, and angle DAC measuring 60 degrees.
Someone help please I would really appreciate it :))
The equation that we would use to find the value of x based on the area of a rectangle is:
C. (16 + 2x)(12 + 2x) = 396
What is the Area of a Rectangle?To find the area of a rectangle, find the product of its length and its width. Thus, the area of a rectangle is: (length)(width) = area.
Given the following:
Area of both the walkway and the garden = 396 square meters
Length = x + 16 + x = 16 + 2x
Width = x + 12 + x = 12 + 2x
Using the area formula for a rectangle, we would have:
(16 + 2x)(12 + 2x) = 396.
Therefore, the equation that we would use to find the value of x based on the area of a rectangle is:
C. (16 + 2x)(12 + 2x) = 396
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Each time John rides the bus to school he pays $3. Write and solve an equation that represents the change in John's money from riding the bus to and from school for 17 days
Every day that John rides on the bus, he loses $3
if he rides on the bus for 17 days, it can be solved like this
(3 x 2)17 = 102$
The change is John's money is -$102 over a span of 17 days
Hope this helped
Donald and Aaliyah each made a bowl of punch. Aaliyah used 4 times as much lemonade
as Donald did. If Donald used 1 1/2 cups of lemonade, how many cups of lemonade did
Aaliyah use?
Answer: 6 cups of lemonade for Aaliyah
Step-by-step explanation:
If Donald used 1 1/2 cups of lemonade-
And Aaliyah uses 4 times that amount-
Aaliyah does 4 times that amount you will do 1 1/2 *4 which is 1*4=4 and 1/2*4=2 so Aaliyah uses 6 cups of lemonade.
1 1/2 * 4 = 6
Athena's credit card has an APR of 16.99%. If her current monthly balance, before interest, is $1,567.32, what amount will she be charged for interest?
a)$22.19
b)$26.63
c)$31.19
d) $45.00
The amount that Athena will be charged for interest is $22.19
What is the meaning of APR of 16.99%?
The APR means an annual percentage rate, which means that the 16.99% is annual interest rate compounded monthly, hence, it needs to be divided by 12 in order to determine the equivalent monthly interest rate.
monthly interest rate=16.99%/12
monthly interest rate=0.0141583333333333
The monthly interest charged on the balance of $1,567.32 is computed thus:
monthly interest charged=$1,567.32*0.0141583333333333
monthly interest charged=$22.19
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please answer this with solution thanks
Answer:
Function 1 is neither odd nor even
Function 2 is odd
Step-by-step explanation:
Here, you must first understand the expression of odd and even functions:
Even: f(x) = f(-x)
Odd: f(-x) = -f(x)
Question 1:
[tex]{ \tt{f(x) = x + 3}} \\ { \rm{when \: x = - x}} \\ { \tt{f( - x) = - x + 3}} \\ { \tt{f( - x) \: is \: neither \: even \: nor \: odd }}[/tex]
Question 2:
[tex]{ \tt{f(x) = - { \green{{3x}^{3} + 6x }}}} \\ { \rm{when \: x = - x}} \\ { \tt{f( - x) = - 3 {( - x)}^{3} + 6( - x) }} \\ { \tt{f( - x) = 3 {x}^{3} - 6x}} \\ { \tt{f( - x) = - \{ { \green{- 3 {x}^{3} + 6x }}}} \} \\ { \tt{f( - x) = - f(x)}}[/tex]
-2+(-3)+(-4)+(-5)+(-6)+(-7)
Answer:
-27
here is the answer for you
A
C
3.
Find m2LMN if mLME=24°
and mLEMN = 42°
66⁰
18⁰
M
B
D
24⁰
42⁰
Answer:
this question is impossible!11!1!!!!
Step-by-step explanation:
none
Find the equation of the line that passes through the points (1, 3) and (2, 4)
Answer:
y = x + 2
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 3 ) and (x₂, y₂ ) = (2, 4 )
m = [tex]\frac{4-3}{2-1}[/tex] = [tex]\frac{1}{1}[/tex] = 1 , then
y = x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (1, 3 )
3 = 1 + c ⇒ c = 3 - 1 = 2
y = x + 2 ← equation of line
polygon b is a scaled copy of polygon a using a scale factor of 5 . polygon a area is what fraction of polygon b area
The area of polygon A would be a fraction 1/25 of the size of polygon B.
What is a scale image?Scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions on the actual figure or object
The formula of the scale factor is shown as;
Area of Polygon B = (scale factor)²×(Area of Polygon A).
Using a scale factor of 5, we get
(Area of Polygon B) = (5)²× (Area of Polygon A)
(Area of Polygon B) = (25) × (Area of Polygon A)
Area of Polygon A = (1/25) × Area of Polygon B
Therefore, the area of polygon A would be a fraction 1/25 of the size of polygon B.
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solve this answer and get 30 points
Answer:
10
Step-by-step explanation:
[tex]\frac{63}{c}[/tex] + d ( substitute c = 7 , d = 1 into the expression )
= [tex]\frac{63}{7}[/tex] + 1 ← evaluate division before adding
= 9 + 1
= 10
an article in forbes noted that the intercounty connector toll road that connects two counties in maryland was not generating as much toll revenue as predicted. at that time, the toll rate was $8 for a passenger car making a round trip from end to end on the tollway during rush hour. what additional information would you need to know in order to determine if the toll should be increased or decreased?
The additional information would you need to know in order to determine if the toll should be increased or decreased is The price elasticity of demand
The additional information required is
In this situation, it is necessary to consider the price elasticity of demand since it demonstrates how changes in price may either increase or decrease a product's consumption.Since the toll road wasn't generating as much toll money as was anticipated in this scenario, it's possible that the toll road's price has increased.The price elasticity of demand will be required in this scenario as extra data.Therefore,The additional information would you need to know in order to determine if the toll should be increased or decreased is The price elasticity of demand
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a concert promoter needs to make $78,700 from the sale of 1780 tickets. the promoter charges $40 for some tickets and $55 for the others. let x represent the number of $40 tickets and y represent the number of $55 tickets.
A concert promoter needs to make $42,000 from the sale of 1800 tickets.
Who is concert promoter?Show advancement is a consuming position, which requires performing business obligations — ordinarily out of an office — by day and going to shows around evening time and toward the end of the week. A show advertiser is answerable for coordinating and publicizing live shows and unique exhibitions. Show Advertisers produce and arrange shows by booking ability, getting settings, employing occasion staff, and promoting their occasions. The most well-known question that surfaces while considering turning into a show advertiser is, how much do they truly make. While taking a gander at certain insights, it shows that the compensation range is $28,000-$187,000 each year.
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For questions 2-4, write two equivalent expressions for each radical expression using the
product law of radicals. One of your expressions should simplify to an integer multiplied
by a radical.
2.
√128 =
3.
√128=
Step-by-step explanation:
bayot ka dong no plbading bading sya bayot
What is the multiplive rate change for the expenstial function f(x)2 5/2-x
0.4 is the multiplive rate change for the Expenstial function .
What exactly makes a function exponential?
A mathematical function with the formula f (x) = an x is an exponential function. where an is a constant known as the function's base and x is a variable. The transcendental number e, or roughly 2.71828, is the exponential-function base that is most frequently encountered.We have to find the multiplicative rate of change for:
f ( x ) = 2 * ( 5/2 ) ^(-x)
F (X ) = [tex]f(x) = 2 * ( \frac{5}{2} )^{-x}[/tex]
2/5 = 0.4
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what is 4 squared 5
Answer: 4^5=1024
Step-by-step explanation:
4x4x4x4x4=1024
Answer:
1024!
Step-by-step explanation:
3/v=8/13 using cross prouducts property
Answer:
v = 4.875
Step-by-step explanation:
Anytime you have a proportion (a fraction = a fraction)
you can cross multiply to change the equation (get rid of the fractions!) and solve.
see image.
3/v = 8/13
8v = 39
v = 4.375
see image.
Is 10 squared greater than or less then or equal to 5
Answer:
10 squared is 100 so 10 squared is greater than 5.
Step-by-step explanation:
Hope its corrects and it helps you!
One freezer costs $623.95 and uses 90 kilowatt hours (kwh) of electricity each month. A second freezer costs $500 and uses 100 kwh of electricity each month. The expected life of each freezer is 12 years. What is the minimum electric rate in cents per kwh for which the 12-year total cost (purchase price + electricity costs) will be less for the first freezer?
The minimum electric rate in cents per kwh for which the 12-year total cost will be less for the first freezer is 8.61 cents
How to calculate the rate?Let x = minimum electric rate (Cents/kWh)
Total months in 12 years is 12*12 = 144 m
1st freezer
Total cost over 12 years is
623.95 (cost) + (90 kWh/m)*(144 m)(x/100 $/kWh)
= 623.95 + 129.6x
2nd freezer
Total cost over 12 years is
500 + 100*144*(x/100)
= 500 + 144x
For the 1st freezer to cost less over 12 years,
623.95 + 129.6x < 500 + 144x
123.95 < 14.4x
8.61 < x
The minimum rate is 8.61 cents per kWh
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What is 32 Quartz to 48 Quartz?
32 Quartz to 48 Quartz is 2/3 Quartz
What is Quart measurement ?The quart is a measurement which is use to find the capacity of liquid. Or we can say Quart is a unit of liquid volume which is measured in gallon. There are different measurements into which we can convert the unit such as ounces and liters. These conversion values are as below :
Mathematically, we can write :
In terms of ounces1 quart = 32 fluid ounces
In terms of liters1 quart = 0.94 US liters = 4 cups (approx.)
According to given question, 32 Quartz to 48 Quartz is the ratio of 32 and 48 Quartz value.
Mathematically, we can write :
[tex]\frac{32 \ Quartz }{48 \ Quartz}\\ \\= \frac{2 \ Quartz}{3 \ Quartz} \\\\or, = \frac{2}{3} Quartz[/tex]
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Evans favorite hobby is origami he plans to make 100 paper cranes to hang from the ceiling of his bedroom yesterday he made 28 paper cranes and 4 hours today he made 21 paper cranes at the same rate how long did evan spend making paper crates today?
Answer:
Evan spent 3 hours making paper crates today.
Step-by-step explanation:
He made 28 in 4 hours. 28 divided by 4 equals 7. Which means he makes 7 paper crates in 1 hour. Today he made 21. So 21 divided by 7 equals 3.
A polynomial p(x) is given as 2x^2-3kx+5
One of the zeros of p(x) is -1
Find k.
Answer:
[tex]k = -\frac{7}{3}[/tex]
Step-by-step explanation:
Given :
p(x) = 2x² − 3kx + 5
Since, -1 is a zero for p then :
p(-1) = 0
Solving the equation p(-1) = 0 for k :
p(-1) = 0
⇔ 2(-1)² − 3k(-1) + 5 = 0
⇔ 2 + 3k + 5 = 0
⇔ 3k = -5 - 2
⇔ 3k = -7
⇔ k = -7/3
NOTE :
If -1 is a zero of p
[tex]\Longrightarrow k = -\frac{7}{3}[/tex]
[tex]\Longrightarrow p(x) = 2x^2 - 3(\frac{-7}{3}) x + 5\\\Longrightarrow p(x) = 2x^2+ 7x + 5[/tex]
an airplane flies 2,794 miles in 5.5 hours. what is the speed of the airplane in miles per hour?
Answer:
508 miles per hour
Step-by-step explanation:
First, set up an equation:
miles per hour = # of miles ÷ # of hours
2,794 miles ÷ 5.5 hours = 508 miles/hour
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