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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A tire from Karens car is shown below Which is closest to the distance traveled, in feet, after 3 full rotations of the tire? use pi= 22/7
Answer:
264 inches
Step-by-step explanation:
Circumference = pi x diameter
28 x 22/7 = 88 (in)
88 x 3 = 264 (in)
The closest distance traveled by Karen's car is, 18.86 feet.
What is Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
We know that;
One rotation of the tire is equal to the circumference of the tire.
And, The formula for circumference of a circle (remember that a tire is shaped as a circle) = πd
where, π = 22/7
d = diameter
Here, The size of one revolution = 2 x 22/7
= 44/7 feet
Hence, The distance covered in one rotation of the tire is 44/7 feet
So, The distance covered in 3 rotations = (44/7) x 3
= 18.86 feet
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The complete question is this,
A tire from Karen's car is shown below. Which is the closest to the distance traveled, in feet, after 3 full rotations of the tire? The diameter is 2 feet, by the way.
what is the constant of proportionality for this graph
Answer:
10:20
Step-by-step explanation:
539 + 35x = 2595
PLEASE HELP ME!!!
Answer:
x = 58.74
Step-by-step explanation:
539 + 35x = 2595=> 35x = 2595 - 539 => 35x = 2056=> x = 58.74Conclusion:
Therefore, x = 58.74 is the answer.
Hoped this helped.
HELP ASAP PLSPLSPLSPLSPLSPLSPLSPLSPLSPLS
Aeris reads the temperature of a liquid in a lab experiment. The temperature of the liquid is 7.2ºF. After 5 hours, she reads the temperature of the liquid again. The temperature of the liquid is now −1.6°F. Aeris plots the points on a number line to determine the temperature change between these two readings. How much did the temperature decrease? Enter your answer as a decimal in the box.
Answer: 8.8 (-8.8'F)
Step-by-step explanation:
What we know:
Temperature started as 7.2Temperature ended as -1.6We need to find the differenceHow to solve:
By doing simple subtraction, we can solve this.
Process:
Write equation 7.2 - (-1.6) = ?Simplify 7.2 + 1.6 = ?Solve = 8.8Solution: 8.8 (-8.8'F)
*Note: The temperature decreased by 8.8'F, but it increased/changed by -8.8'F. Be careful of wording.
I shall give the right answer brainliest
Answer:
I would say that the answer is 1 × 10^1.
Step-by-step explanation:
Hope this helps. If I get it wrong I'm sorry. :S
Answer:
C
Step-by-step explanation:
C:7,000 x 10^1 = 70,000
B:7,000 x 1.1 = 7,700
D:7,000 x 10^-1 = 700
A:7,000 x 63,000 = 441,000,000
Help plz:
10. Remove the parentheses by multiplication:
a. 6(2a - 4) =
b. x(2x + 10) =
c. 5(9x - 9) =
d. 3x(2x - x) =
Answer:
A = 12a - 24
B = 2x² + 10x
C = 45x - 45
D = 6x² - 3x²
Step-by-step explanation:
You can solve all of these by distributing the first number/variable into the parenthesis. Just multiply the number outside the parenthesis by each of the terms inside the parenthesis.
You and your family go out for dinner the bill is $240.00. You have a coupon for 20% off. After the discount, you want to leave a tip of 15%. How much in total , will you leave the waiter?
Answer: 28.8
Step-by-step explanation: first we find out 20 percent of 240=48
240-48=192 after discount
15 percent of 192= 28.8
Does the equation y = x represent a function?
which expression means “6 more than the quotient of a number and 5”
x/5+6 => expression means “6 more than the quotient of a number and 5”.
Option B is correct.
Here,
The expression that means "6 more than the quotient of a number and 5" can be written as:
(x / 5) + 6
In this expression, "x" represents the unknown number.
Let's break down the expression and explain it step by step:
(x / 5):
This part of the expression represents the quotient of "x" and 5.
It means that we divide "x" by 5.
(x / 5) + 6:
his means we take the quotient obtained in step 1 and add 6 to it.
It represents "6 more than the quotient of a number and 5."
Hence, x/5+6 => expression means “6 more than the quotient of a number and 5”.
Option B is correct.
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Which statement is the correct interpretation of the inequality −3 > −4? (5 points)
A) On a number line, −3 is located to the left of −4.
B) On a number line, −3 is located to the right of 0 and −4 is located to the left of 0.
C) On a number line, −3 is located to the left of 0 and −4 is located to the right of 0.
D) On a number line, −3 is located to the right of −4.
help as soon as possible and you will get brainliest <3
Answer:
D)−3 is located to the right of −4.
Step-by-step explanation:
Hope It Helps
The following table shows the number of visitors to Yellowstone National Park from 2000 to 2006.
What was the percent of change in the number of tourists between 2000 and 2001?
Answer:
79,707
Step-by-step explanation:
2,838,233 - 2,758,526= 79,707
what is X-3+4*765 if X= 90
Answer: 3147
Step-by-step explanation: because ur my bestayy
A package of 25 wristbands costs $15.75. What is the cost of 3 wristbands in dollars and cents?
Answer:
1.89
Step-by-step explanation:
find cost of 1 wristband first
15.75/25 = 0.63 (cost of 1 wristband)
0.63*3 = 1.89
I need this ASAP please!!!
Select the correct answer.
Which equation, when solved,
gives 8 for the value of x?
A 5/2x + 7/2 = 3/4x + 14
B 5/4x -9 = 3/2x -12
C 5/4x -2 = 3/2x -4
D 5/2x - 7 = 3/4x + 14
Answer:
c
Step-by-step explanation:
someone answer this pls for me
Answer:
1= 1
2= 2/5
3= 1/2
4=1 and 1/3
12*500 i dont feel like doing this rn
Answer: 6000
Step-by-step explanation:
12*100= 1200*5= 6000
The surface gravity on Jupiter is 2.4 times that of Earth.
What would your weight be on Jupiter if you weighed 110 pounds
on Earth?
Consider the points (-5,2) and (3,-9)
What's the horizontal distance between the two points?
Answer:[tex]\sqrt{185}[/tex]
Step-by-step explanation:
[tex]\sqrt{(-5-3)^2+(2+9)^2}[/tex]
3.017 + k = 5.134
what is k?
Answer:
K = 2.117
Step-by-step explanation:
5.134 = 3.017 = 2.117
Answer:
k=2·117
Step-by-step explanation:
you welcome
solve 2 (3x - 1) - 6
give an explanation pls
Answer:2(3x-4)
Step-by-step explanation:
Step 1: Distribute
2(3x-1)-6
6x-2-6
Step 2: Subtract
6x-2-6
6x-8
Step 3: Common Factor
Factor by grouping
2(3x-1)-6
2(3x-4)
Im doing this till 3:30
Answer: C
Step-by-step explanation:
First set greater than 300 since Zack has to make more than 300 to make a profit. The equation is the amount he makes (n) - cost of supplies ($32.50). He is completing 4 rooms so multiply (n - 32.5) with 4.
The equation would be 4 (n - 32.5)>300
Now to solve for n, divide 4 on other sides, then add 32.5 to both sides.
(PLEASE HELP, BRAINLIEST IF CORRECT)
Answer:
Dylan's speed 30
Mike's 20
Step-by-step explanation:
hope this helps you!
Find common denominators and add. Reduce answers to lower terms. 1/4+ 1/6
5/12
1/10
2/10
2/6
Answer:
the other guy s right guy job beat me to it lol
Step-by-step explanation:
1 x6
4 x6
1x4
6x4
6/24+4/24 = 10/24
10/24 = 5/12
Hi! If you are willing to help just help pls!.
Write T or F (true, false) if the statement is one of those. If it is false correct it, if it is true leave the correction space blank. Thank you!!!
The y axis is _____________
horizontal
vertical
diagona
Answer:
VERTICAL
Step-by-step explanation:
Im 100% certain that it is vertical. The y-axis is vertical.
look at the attachment i have. also its asks for the principle of account A then B and also witch one made more in the first month. please hurry because its due today
Answer:
Account A
Step-by-step explanation:
It's because in 9 months for account a you the simple interest rate you earned is $4.16 but account B took you 33 months just to get $24.20? That would be too long, you would spend way to long working for 33 months just to get 24.20? It would not be worth it. This is why the answer is Account A.
Answer:
Account A is the correct answer;according to my understandings.
Which point on the number line represents Negative three-fourths?
A number line going from negative 2 to positive 1 in increments of 1. There are 4 equal spaces between each number. Point A is 1 mark to the right of negative 2. Point B is 1 mark to the right of negative 1. Point C is 1 mark to the left of 0. Point D is 1 mark to the left of 1.
A
B
C
D
Answer:
A
Step-by-step explanation
i am biggest brain
Zani'yah wants to buy new shoes. The shoes cost $150 but are on sale for 10% off. How much will Zani'yah spend after the discount?
Answer:
135 Dollars
Step-by-step explanation:
Answer
$135
Step-by-step explanation:
10% of 150 is 15
150-15=135
$135
Which expression use the associative property and make it easier to evaluate 6 (3/2 x 1/5)
Answer:
D
Step-by-step explanation:
Associative property moves the parentheses, but the numbers stay in the same order.
Which term best describes the relationship between the two events described below?
When a bowler gets 12 consecutive strikes in a game, he bowls a perfect game.
A. causation
B. The events are not related.
C. correlation
D. implication
Answer:
Correlation
Step-by-step explanation:
I think
The relationship between the two events is one of implication (Option D.), where achieving 12 consecutive strikes implies the occurrence of a perfect game, but it does not necessarily indicate a causal or universally correlated relationship.
The term that best describes the relationship between the two events described is implication.
In this context, the statement implies that when a bowler achieves 12 consecutive strikes in a game, it is an indication or implication that the bowler has bowled a perfect game. This means that if the first event (getting 12 consecutive strikes) occurs, it logically leads or implies the occurrence of the second event (bowling a perfect game). However, it does not necessarily mean that every perfect game is achieved through 12 consecutive strikes, as there can be alternate ways to achieve a perfect game.
Therefore, the relationship between the two events is one of implication, where the occurrence of the first event suggests or implies the occurrence of the second event, but they are not always causally linked or universally correlated.
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