We want to see if the relationship between the number of weeks and the money put in the jar is linear or not, we will see that this is not a linear equation (it is exponential).
So a linear relation is something like:
y = a*x + b
Note that for any value of x, an increase of 1 unit gives:
y = a*(x+ 1) + b = (a*x + b) + a
So for increases of 1 unit in the x-value, we have increases of "a" units on the y-value.
In the given situation we have:
In week 1 she puts $1.00 in the jar.In week 2 she puts $2.00 in the jar (now the jar has $3.00 in it)In week 3 she puts $4.00 in the jar (now the jar has $7.00 on it)In week 4 she puts $8.00 in the jar (now the jar has $15.00 on it)and so on.
Writing that as points we have:
(1, $1)
(2, $3)
(3, $7)
(4, $15)
Notice that for equal increases in the x-value, (increases of 1 unit) we don't equal increases in the y-value (first increases by $2, then by $4, etc...) So this is not a linear equation, this is actually exponential.
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The relationship of the ordered pair that represents Mallory savings is a nonlinear relationship.
Let x represents the number of weeks, and y represents the amount put in the jar, each week.
So, we have the following highlights for 6 weeks.
Week 1: (1, 1)Week 2: (2,2)Week 3: (3,4)Week 4: (4,8)Week 5: (5,16)Week 6: (6,32)The ordered pairs can then be represented as:
[tex](x,y) = (1,1)(2,2)(3,4)(4,8)(5,16)(6,32)[/tex]
As the x values increase, the y values increase too, but the y values do not increase at a constant rate.
This means that the relationship is not linear; it is an exponential relationship.
Hence, the relationship is a nonlinear relationship.
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POINTS IF HELP!!! Please help me?
There are two types of tickets sold at the Canadian Formula One Grand Prix race. The price of 5 grandstand tickets and 3 general admission tickets is 2490. The price of 6 grandstand tickets and 6 general admission tickets is 3540 . What is the price of each type of ticket?
Answer: Grandstand: 360, General Admission: 230
Step-by-step explanation:
Use any variable you like but:
Let g represent grandstand ticketsLet a represent general admission ticketsYou know:
5 Grandstand tickets and 3 general admission tickets is 2490:
5g + 3a = 2490The price of 6 grandstand (g) tickets and 6 general admission tickets (a) is 3540
6g + 6a = 3540You want to find out: What is the price of each ticket. To do this either use substitution or elimination.
I will demonstrate elimination:
To do elimination, you want to cancel out one variable. This means you want to multiply each side of the equation by a number. I see 3a and 6a. This means multiply by -2. Again, you want to eliminate the variable.
5g +3a = 2490 → -10g - 6a = -4980Now, add the two equations together: Notice how you can line them up vertically to see how they can add together.
-10g - 6a = -4980+6g + 6a = 3540After that step you get: -4g = -1440Now you can solve for the g (grandstand tickets):
-4g = -1440g = 360You now know grand stand tickets cost 360. Take one of your original equations and solve for a (general admission tickets). To double check your work, they should satisfy both equations.
5g + 3a = 24905(360) + 3a = 24903a = 690a = 2306g +6a = 35406(360) +6a = 35406a = 1380a = 230Therefore general admission tickets cost 230, and grandstand tickets cost 360!
What is the y-intercept, end behavior and zeros of this polynomial function?
g(x) = (x + 2)(x − 1)(x − 2).
Describe the direction of the parabola and determine the zeros and y-intercept.
f(x) = (x – 3)(x – 2).
WILL MARK BRAINLIEST IF BOTH ANSWERS ARE CORRECT
Answer:
To determine its end behavior, look at the leading term of the polynomial function. Because the power of the leading term is the highest, that term will grow significantly faster than the other terms as x gets very large or very small, so its behavior will dominate the graph.
Step-by-step explanation:
mark it as brainlist
if a canoe travels with a speed of a mph for 3 hours, and then with a speed of b mph for the rest of the way, how long does it take to travel c miles?
Answer:
3+b=c
Step-by-step explanation:
Answer:
3+b=c
Step-by-step explanation:
HEEEEELLLLLLPPPPPPPPOP
4(x-8) = 4x-4*8
= 4x - 32
Answer:
4(x-8) = 4x-4*8
= 4x - 32
Step-by-step explanation:
PLZ HELPPPP!!! WILL GIVE BRAINLIEST! TYSM!!
Find the arc length of the semicircle.
Either enter an exact answer in terms of π (pi) or use 3.14 and enter your answer as a decimal.
Answer:
6 pi
Step-by-step explanation:
The arc length is 1/2 of the circumference
C = pi * d
So the arc length is 1/2 C
arc length= 1/2 ( pi *d)
= 1/2 pi(12)
= 6 pi
The figure shows a line graph and two shaded triangles that are similar:
Which statement about the slope of the line is true?
A. It is fraction 1 over 2 throughout the line.
B. It is 2 throughout the line.
C.The slope from point O to point A is fraction 1 over 2 time the slope of the line from point A to point B.
D. The slope from point O to point A is two times the slope of the line from point A to point B.
Answer:
Answer is B
just do your work and proof the work and that will give u the right answer
Answer:
it is B
Step-by-step explanation:
it is just B man, trust
A DVD is on sale for $1.05 off. This is a 15% discount from the original price. Use an equation to find the original price. A. $16.05, B. $15.75, C. $10.50, D. $7.00
Mind uh... Answering my question?
Answer:
12 ounces
Step-by-step explanation:
[tex]3 \div 4 \\ = 0.75 [/tex]
1 pound = 16 ouncesmultiply the mass value by 16.[tex]0.75 \times 16 \\ = 12[/tex]
Hope it is helpful....Answer:
12 ounces
Step-by-step explanation:
A rectangular photograph measuring 2 inches by 4 inches is enlarged by a scale factor of 8. What are the new dimensions of the photograph? Can ya explain how you got the answer too?
Answer:
original: 2x4
scale factor: 8
new dimensions:
2x8=16
4x8=32
(To get the new dimensions all you have to do is multiply the sides by the scale factor)
Step-by-step explanation:
The new dimensions of the photograph is [tex]64 \ in^{2}[/tex]
What is a scale factor?The scale factor is a measure for similar figures, who look the same but have different scales or measures. Suppose, two circle looks similar but they could have varying radii. The scale factor states the scale by which a figure is bigger or smaller than the original figure.
According to the question
[tex]S_{1} =2\times4=8[/tex]
[tex]S_{2} =8S_{1} =8\times8=64[/tex]
The new dimensions of the photograph is [tex]64 \ in^{2}[/tex]
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Graph the line that represents a proportional relationship between ddd and ttt with the property that an increase of 3 units in ttt corresponds to an increase of 8 units in ddd.
What is the unit rate of change of ddd with respect to ttt? (That is, a change of 1 unit in t will correspond to a change of how many units in d?)
The unit rate of change of d with respect to t is 8/3
How to graph the line?The statement is given as:
increase of 3 units in t corresponds to an increase of 8 units in d.
This can be represented using the following ratio
t : d = 3 : 8
Express as fraction
t/d = 3/8
See attachment for the graph of t/d = 3/8
The unit rateIn (a), we have:
t/d = 3/8
Inverse both sides
d/t = 8/3
This means that:
Slope or Rate = 8/3
Hence, the unit rate of change of d with respect to t is 8/3
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Please help these are the last ones I need I will mark you as brainliest if you answer them correctly! Ty
I need the answer to 7 please
7. a
Given,
Diameter = 16 feet
So, radius = 16 feet/2 = 8 feet
Circumference = 2πr
So, circumference of this circle
= 2πr
= 2 × 3.14 × 8 feet
= 3.14 × 16 feet
= 50.24 feet
b.
Given,
Diameter = 16 feet
So, radius = 16 feet/2 = 8 feet
Area = πr²
So, area of this circle
= 3.14 × (8 feet)²
= 3.14 × 64 feet²
= 200.96 feet²
Answer:
Done
Step-by-step explanation:
Area - 201.06192983
Circumference - 50.2654824574
help help help help help help help help
Answer:
Option A is correct
Step-by-step explanation:
6 feet 2 inches = 74 inches
74 inches = [tex]6 \frac{1}{6} [/tex]feet.
Hope it is helpful....PLEASE HELP!
What is the length of the shortest altitude in a triangle, if the lengths of the sides are 15 cm, 17 cm, 8 cm. Write answer in a common fraction in reduced form.
help pls :( I only need one question to pass
Answer:
The 3rd semi-circle equals 31.
Step-by-step explanation:
Since the Pythagorean Theorem states that "The sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c)," we can find the answer of the 3rd semi-circle by finding the sum of each of the 2 smaller semi-circles and adding them together.
You are on a roller coaster that begins 1/5 mile above ground. The roller coaster descends 1/2 mile. What is the roller coaster's new location after descending?
Answer:
0.3 miles above the ground
Answer yes ooh ooh ahaha
Answer:
probably first one but i might be wrong
Step-by-step explanation:
if it has line under its filled circle and the direction the point is facing is where line goes
Answer:
1
Step-by-step explanation:
Write an equation to represent the following statement.
33 is 15 less than k.
Solve for k.
33 is fifteen less than k
---"Is" can be a key word in this statement, meaning equals
33 = k - 15
k = 48
Hope this helps!
Please help me! I will give brainly!
A law in Washington, D.C., restricts a new building's height to no more than 20 feet taller than the width of the street it faces. You design a building with stories that are each 15 feet tall for a street that is 88 2/3 feet wide. What is the greatest number of stories your building can have?
_______ Stories
How much shorter is your building than the height restriction?
________Feet
It can be up to 20 feet taller so add 20
To the width:
88 2/3 + 20 = 108 2/3
Divide total height by the height of one story:
108 2/3 / 15 = 7.24
The building can have 7 stories.
b. 7 x 15 = 105 total feet
108 2/3 -105 = 3 2/3 feet below the restrictions
An airplane travels 1800 miles in 3 hours flying with the wind. On the return trip, flying
against the wind, it takes 4 hours to travel 20000 miles. Find the rate of the wind and the rate of the plane in still air.
Andrew and Michael are 15 miles apart. If they walk towards each other, they meet in 3
hours. If they both walk in the same direction, Michael overtakes, Andrew in 8 hours.
How fast does each boy walk?
Answer:
75 miles miles an hour. (First one)
5 mph for the second one.
Step by Step:
1800%2F3 = u + v (1) is the equation for the flight with the wind.
(Here "u" is the airspeed of the airplane with NO wind,
"v" is the wind speed)
1800%2F4 = u - v (2) is the equation for the flight against the wind.
Simplify equations (1) and (2) and write them as a system:
u + v = 600, (1')
u - v = 450. (2')
Now add the two equations (1') and (2'). You will get
2u = 1050 ---> u = 1050%2F2 = 525 miles per hour.
Having this, you can easily determine "v" from (1'):
v = 600 - 525 = 75 miles per hour.
-----------------------------
Second one will be 15 divided by 3 = 5mph
Answer:
look at the picuture
Step-by-step explanation:
Please help me! I will give brainly!
Answer:
Blank1: (-1/10)
Blank2: 1
Blank3: 5
Step-by-step explanation:
First we can see that numerator is equal to 1 in the last equation, so the second missing value is 1. Looking at the middle equation we can differ that the denominator is 10. This means the missing number in the third equation is equal to ten, so a*2=10, where the answer "a" is the missing value. Solve the equation by dividing both sides by 2 leaving a=5. Final step is to make 1/5+b=1/10, where ''b" is the answer for the first blank. Solve the equation by subtracting (1/5) from (1/10) leaving b=(-1/10)
What are the odds against getting three tails when you flip three coins?
A. 1:1
B. 1:7
C. 1:8
D. 7:1
Answer:
1:7
Step-by-step explanation:
The number of possible outcomes is 2*2*2 = 8
The number of ways of getting 3 tails is 1
The odds against - the ratio of the number of ways that an outcome cannot occur compared to in how many ways it can occur.
ways it can occur -1
ways it cannot occur - 8-1 = 7
1:7
Perry saved 4 twenty-dollar bills, 2 ten-dollar bills, 3 dimes, and 2 pennies. Before winter break, he bought a new racing video game for $49.86. How much money did Perry have left?
Answer:
[see answer below]
Step-by-step explanation:
"Perry saved 4 twenty-dollar bills, 2 ten-dollar bills, 3 dimes, and 2 pennies."
4 * 20 = 80
2 * 10 = 20
3 * 0.1 = 0.3
2 * 0.01 = 0.02
80 + 20 + 0.3 + 0.02 = $100.32
100.32 - 49.86 = 50.46
Hope this helps you.
Answer:
$50.46
Step-by-step explanation:
There is a blueprint for a house that is a scale drawing for the entire house. One part of the house has a triangular base. The drawing of the width of the triangle is 4cm and the length is 6cm. If the width of the actual triangular structure is 18cm, what is the length and the area of the triangular structure?
Answer:https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-scale-drawings/v/scale-drawing-example-2
Step-by-step explanation:
this with help
Answer:
0
Step-by-step explanation:
99
Please help thx and I will mark you as brainliest!
First one : y=1/3x+4.32
Second one: y=3x-2
Explanation: try Desmos. its a magical machine
Answer:
see explanation
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 ) = (5, 6) and (x₂, y₂ ) = (- 1, 4)
m = [tex]\frac{4-6}{-1-5}[/tex] = [tex]\frac{-2}{-6}[/tex] = [tex]\frac{1}{3}[/tex] , then
y = [tex]\frac{1}{3}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 1, 4 ) , then
4 = - [tex]\frac{1}{3}[/tex] + c ⇒ c = [tex]\frac{12}{3}[/tex] + [tex]\frac{1}{3}[/tex] = [tex]\frac{13}{3}[/tex]
y = [tex]\frac{1}{3}[/tex] x + [tex]\frac{13}{3}[/tex] ← equation of line
-----------------------------------------------------------------------
The equation of a line in point- slope form is
y - b = m(x - a)
m is the slope and (a, b) a point on the line
Here m = 3 and (a, b) = (- 2, 0 ) , then
y - 0 = 3(x - (- 2) ) , that is
y = 3(x + 2)
y = 3x + 6 ← equation of line
find the nth term
16,25,36,49
So studying the sequence you could see that 4multiplying itself gives 16 and 5 by itself 25 , 6 by itself 36 , 7by itself 49 so by all means the next will be 8 by itself which is 64
Answer:
Hello,
Step-by-step explanation:
16=(1+3)²
25=(2+3)²
36=(3+3)²
49=(4+3)²
[tex]u_n=(n+3)^2\\[/tex]
The graph of a sinusoidal function intersects its midline at (0, -7) and then has a minimum point at (pi/4, -9)
Answer:
I don't know if you have any questions or need any further information please contact me at the sun with the sun with the sun with the sun
What does this mean "Go from -2
What is this -2
Evaluate this expression if x = -4, y = 5, and z = -13.
x - (-z)
Answer:
-17
Step-by-step explanation:
x - (-z)
Subtracting a negative is like adding
x+z
x = -4 and z = -13
-4 + -13
-17
Answer:
[tex]-17[/tex]
Step-by-step explanation:
Step 1: Evaluate the expression
[tex]x - (-z)[/tex]
[tex]-4 - (-(-13))[/tex]
[tex]-4 - (13)[/tex]
[tex]-4 - 13[/tex]
[tex]-17[/tex]
Answer: [tex]-17[/tex]
