Answer:
Mohamed decided to track the number of leaves on the tree in his backyard each year. the first year, there were 500 leaves. each year thereafter, the number of leaves was 40% more than the year before. let f(n) be the number of leaves on the tree in Mohamed's backyard in the n^th year since he started tracking it. f is a sequence. what kind of sequence is it?
Number of leaves on the tree in first year = 500
The number of leaves was 40% more than the year before.
So rate of increase is 40/100 = 0.4
We use exponential growth formula,
f(n) = a(1+r)^n
Where a is the initial number, r is the rate of growth, n is the number of years
We know a= 500, r= 0.4
f(n) = 500(1+0.4)^n
f(n) = 500(1.4)^n
Plug in n=1,2,3...
f(1) = 500
f(2) = 500 * 1.4^1
f(3) = 500 * 1.4^2 and so on
From this we can see that the common ratio is 1.4
Hence it is a Geometric sequence.
Solve:
-19 + 3x = 3(x - 5)
Answer:
x=4
Step-by-step explanation:
19+3x=3(x-5)
do rainbows
19+3x=3x-15
subtract 19 on other side
3x=3x+4
divide out the 3s
x=4
Find the missing value in the table.
Answer:
i think its 10
Step-by-step explanation:
What is the value of x?
10
15
30
45
A 7-meter roll of red ribbon costs $2.52. What is the unit price
Answer:
0.36
Step-by-step explanation:
thirty six cents is the unit price
Answer:
$0.36
Step-by-step explanation:
2.52/7 = 0.36
Ace C.a.r.l.o.s.
Laroi
What value of x makes this equation true?
12x - 15 = 6 - 3x
A 7
3
B3
7
5
-5x + 3y = 11 and x - 2y = 2 How would I solve by substitution?
Answer:
x=-4,y=-3
Step-by-step explanation:
Jasmine starts rock climbing at an elevation of -100 feet and rock climbs up to an elevation of 40 feet. What was Jasmine's change in elevation while rock climbing?
Create an equation to represent the situation. Use x to represent Jasmine's change in elevation while rock climbing.
What is the sales tax rate in Nevada?
Answer: -100 + x = 40
Step-by-step explanation: We know she starts at -100 feet, she is increasing in elevation, so we want to add a positive x to her initial value of -100. If we keeping adding that x, it will soon result in a positive value of 40.
hey ya
define matter
have a great day
Answer:
matter is any substance that has mass and takes up space by having volume
Step-by-step explanation:
Answer:
Anything which occupies space and have mass is called matter.
Step-by-step explanation:
There is no any explanation of defination of matter xD...
can you help me please?
Answer:
50/100
Step-by-step explanation:
Help me with this pls
Answer:
The answer should be D) 105 = (5x - 70)
Step-by-step explanation:
Answer:
D. 105=(5x-70)
Step-by-step explanation:
I'm pretty sure its correct but it may not be
Graph All the plans on the graph provided. Your graph should include talk times between 0 and 200 minutes.
2. Was your plan in part B an example of direct variation (the plan depended only on the time spent talking) or a partial variation? (the plan depended on the time spent talking and an initial cost). 3. Which Plan best for you? Was this the same as your hypothesis? 4. Which plan had the highest rate of change? Which plan has the lowest slope?
5. Using your graph, which plan would be best if you talked for 200 minutes? 6. When is the Rogers My5 plan better than the Telus prepaid plan? 7. Which plans are an example of direct variation? 8. Come up with at least 3 other things that need to be considered when choosing your cell phone plan (aside from cost per minute talking), and explain why these are important to you.
I'll do the first five problems to get you started.
==================================================
Problem 1
The graph is shown below in the attached image.
==================================================
Problem 2
The plan chosen was Public Mobile, which offered $24 per month for unlimited minutes. This plan does not depend on the number of minutes, so this is not a direct variation. It's also not a partial variation either since the cost doesn't vary (ie change) at all. The monthly cost is fixed at $24 per month.
Even at 200 minutes, this is the cheapest plan as mentioned in the other chart I posted. You can determine this by plugging x = 200 into each equation described earlier. You should find that Public Mobile still gives the cheapest rate. The graph done in problem 1 visually verifies this. The gray line y = 24 is below each of the other lines when x = 200.
==================================================
Problem 3
The best plan is still Public Mobile when x = 1800 minutes per month.
Any x value such that x > 140 will also have Public Mobile be the best plan.
When we get to x = 140 is when this isn't the best plan and instead Bell is the better plan to go with. Note the purple line y = 0.10x+10 is below the gray line y = 24 for values x < 140. This visually shows us that Bell is cheaper compared to Public Mobile.
==================================================
Problem 4
The plan with the greatest rate of change is Telus. This is because y = 0.35x has the largest slope of 0.35
The rate of change is the charge per minute.
==================================================
Problem 5
If you talked for 200 minutes, then Public Mobile is the best plan. This is because the gray line y = 24 is below any other line when we have x = 200.
which of the following graphs represent the equation y=3x-2
Answer:
C
Step-by-step explanation:
-2 means that the y-intercept is (0, -2), so we can immediately eliminate option D. 3x means that it is a positive correlation, so left to right the line will go diagonally up, so we can eliminate option B.
Finally, we can see that 3x means that the slope is pretty steep, so we can choose C as our answer.
What is the answer to -25X = 225
Answer:-9
Step-by-step explanation: Divide each term by -25 and simplify
help pls fast i need this
Answer:
she would paint 350.4 square feet
Step-by-step explanation:
first you would find the surface area of one of the triangles, then multiple it by 2 because there are 2 triangles. next you would find the area of each individual rectangle. after that you would add up each of the measurements for the triangles and rectangles.
area of a triangle =1/2 base×height
Selah has 1/5 of a cup of whipped cream to put on top of the ice cream sundaes, how many cups will each sundae have
Incomplete question :
Here the number of ice cream sundaes isnt Given ; however, we can assume that the number of ice-cream sundae is 5
Answer:
1 / 25
Step-by-step explanation:
Given that :
Total Amount of whipped cream = 1/5 of a cup
Number of ice cream sundae = 5
The amount of whipped cream eat ice cream sundae gets is :
Total Amount of whipped cream / number of ice cream sundaes
(1 /5) ÷ 5
(1 /5) * 1 /5
= 1/25
Hence, each ice cream sundae gets 1/25 of a cup of whipped cream.
yay help me plz and I will be happy
Answer:
D
Step-by-step explanation:
Each hour = -0.2 which represents the ounces of the candle that burn down within each hour.
11. Clare is painting some doors that are all the same size. She used 3 liters of paint to cover 1 4/5 doors. How many liters of paint are needed for 1 door? *
The paint required to cover 1 door is 5/4 liters.
Step-by-step explanation:
The paint required to cover 1 3/5 doors = 2 liters.
Convert mixed fraction into proper fraction.
Therefore, the paint required to cover 8/5 doors = 2 liters.
The paint required to cover 1 door = x liters.
To find x :
Comparing the given data and the unknown data.
8/5 door / 2 liters = 1 door / x liter
x = 2 × 5/8
x = 10/8
x = 5/4 liters.
The paint required to cover 1 door is 5/4 liters.
Today, you sold the 459 shares of Rayje Clothiers that you purchased yesterday. How much profit did you make?
Answer:
The answer is "$6,306.66"
Step-by-step explanation:
Please find the complete question in the attachment file.
Through analyzing data inside this question, we find
The 52 wk high is = 225.8
The 52 wk low is= 169.96
Closed on = 200.43 in yesterday
Net changing from yesterday to current date = 13.74
Because 459 shares have today being sold so,
net profit = net change [tex]\times[/tex] number of sold shares
[tex]=13.74 \times 459\\\\= \$ 6306.66[/tex]
Answer:
D
Step-by-step explanation:
Edge quiz 2021
The number of customers at Pumpkin PiBakery depends on the price of the pie. Market research says that the number of customers can be estimated by ()=110−4.4,where p is the price of a pie.
Answer:
Step-by-step explanation:
To find;
a) The number of customers that will be there if the bakery charges $10 per pie
b) To determine how much money (revenue) the bakery will make at that price if one customer buys only one pie.
So; given the function:
C(p) = 110 - 4.4 p
where
p = 10
C(10) = 110 - 4.4(10)
C(10) = 110 - 44
C(10) = 66
Thus, when the bakery charges $10, the number of customers is 66.
The revenue now when each customer purchase only one pie is:
= $66 × 10
= $660
Please help me
I don’t know this
Answer:
1. 10/21
2. 11/21
Step-by-step explanation:
A pair of jeans was 30% off the original price. The sale resulted in a $24 discount. What is the original price in a percent?
Answer:
16%
Step-by-step explanation:
$16.8
What is the volume of a box with sidelines that are 20 inches use the formula B equals S3 where is S is the length of one side
Answer:
The volume of a box with sidelines that are 20 inches is 8000 cubic inches
Step-by-step explanation:
The volume of a box with sidelines that are 20 inches can be determined by using the formula
B = S³
Where S is the length of one side
and B is the Volume
From the question, the sidelines of the box are 20 inches. That is
S = 20 inches
From
B = S³
B = (20 inches)³
B = 20 inches × 20 inches × 20 inches
B = 8000 cubic inches
Hence, the volume of a box with sidelines that are 20 inches is 8000 cubic inches.
Answer:
8;000 in³
Step-by-step explanation:
because I know
Help please!!!!!!!!!!!
Answer:
35 new ppl every yr
Step-by-step explanation:
5080÷4870= 210÷6 =35
Solve each system by substitution.
1) y = 2x + 2
y = -5x + 16
Answer:
y = 6
x = 2
Step-by-step explanation:
rearrange the first equation in terms of x
x = (y - 2)/2
substiute x in the second equation
y = -5[(y-2)/2] +16
Now simpilify and solve for y
y = (-5y + 10)/2 +16
y = -5/2y + 5 + 16
y + 5/2y = 5 + 16
3.5y = 21
y = 6
Now substitue y in the first equation to solve for x
x = (6 - 2)/2
x = 2
Answer:
(2, 6)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Terms/CoefficientsSolving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = 2x + 2
y = -5x + 16
Step 2: Solve for x
Substitution
Substitute in y: 2x + 2 = -5x + 16Add 5x on both sides: 7x + 2 = 16Subtract 2 on both sides: 7x = 14Divide 7 on both sides: x = 2Step 3: Solve for y
Define equation: y = 2x + 2Substitute in x: y = 2(2) + 2Multiply: y = 4 + 2Add: y = 6You are running late for work. There are 4 traffic signals on your way to work, and if you make all of them,
you will be on time. If you have a 60% chance of making each one, independent of whether or not you made
the previous one, what is the probability that you will make it to work on time?
A. 81/625
B. 64/340
C. 32/125
D. 68/421
E. 25/525
Answer: A. 81/625
Step-by-step explanation:
From the question, we are informed that there are 4 traffic signals on ones way to work, and there's a 60% chance of making each one, independent of whether or not the previous one is made.
The probability that one will make it to work on time will be to multiply 60% for the 4 period. This will be:
= 60% × 60% × 60% × 60%
= 60/100 × 60/100 × 60/100 × 60/100
= 3/5 × 3/5 × 3/5 × 3/5
= 81/625
please helpppp!! solve this
Answer:
D. x =9, angle measure is 27°.
Step-by-step explanation:
3x° = 27° (vertical angles)
x° = 27°/3
x° = 9°
x = 9
3x° = 3*9° = 27°
So, x =9, angle measure is 27°.
PLEASE PLEASE ANSWER!
The graph shows the relationship between the number of pounds of pears purchased and the total cost of pears. What is the cost of 1 pound of pears?
(GIVING BRAINLIEST!!!)
Solve the division equation using the fraction model.
A) 1/12
B) 12
C) 4/12
D) 7
Answer:
A) 1/12
Step-by-step explanation:
Half of 1/3 is 1/6. But that would only be dividing by 2. If you half 1/6, which would be dividing 1/3 by 4, you get 1/12.
Mandy has a 10.2-ounce container of mustard. She uses 130 of the mustard to put on her hot dog each time. How many ounces of mustard are left after she has eaten 6 hot dogs?
Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
This is from a test isnt it? Is this the snapshot i had exactly this.......CHEATER O-o
8.16 ounces of mustard are left after she has eaten 6 hot dogs.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Mandy has a 10.2-ounce container of mustard.
She uses 1/30 of the mustard to put on her hot dog each time.
By given,
Mandy has a 10.2-ounce container of mustard.
Now, 1/30 of the mustard to put on her hot dog each time to 6 hot dogs, so weight of mustard used is calculated as
1/30×6×10.2=2.04 ounces
So, Amount of Mustard left after eating 6 hot dogs is,
10.2-2.04=8.16 ounces
Therefore, the required amount of mustard left after eating 6 hot dogs is 8.16 ounce.
To learn more on Equation:
https://brainly.com/question/10413253
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Quadrilateral ABCD is graphed on a coordinate plane. Three of its vertices are at A(2,6), Point B(6,8), and Point C(8,4). Which of the following additional statements is sufficient to prove that quadrilateral ABCD is a square
Answer:A
Step-by-step explanation:
Got it right in my test lolz
You can use the fact that diagonal of a square are equal and perpendicular to each other.
The option D: Segment BD has a slope of 3 and a length of [tex]2\sqrt{10}[/tex]
Given that:A has coordinate (2,6)B has coordinate (6,8)C has coordinate (8,4)When is ABCD square?One theorem in mathematics states that:
"If diagonals of a quadrilateral are equal and perpendicular to each other, then that quadrilateral is a square."
Using the fact that diagonal of a square are equal and perpendicular to each other:For ABCD to be square, we need AC and BD to be of equal length and perpendicular to each other.
Two lines are perpendicular if their slopes are negative reciprocal of each other.
Slope of AC:[tex]Slope(AC) = \dfrac{rise}{run} = \dfrac{C_y - A_y}{C_x - A_x} = \dfrac{4-6}{8-2} = -\dfrac{1}{3}[/tex]
Thus, slope of BD needed to be negative reciprocal of -1/3 which is 3 for ABCD to be square (first needed condition)
Length of AC:[tex]|AC| = \sqrt{(C_y - A_y)^2 + (C_x - A_x)^2} = \sqrt{(4-8)^2 + (8-6)^2} = \sqrt{2^2 + 6^2} = \sqrt{40} = 2\sqrt{10}[/tex]
The second condition needs |BD| = |AC|.
Thus, length of BC should be [tex]2\sqrt{10}[/tex]
Thus, the sufficient condition for ABCD to be a square is:
Option D: Segment BD has a slope of 3 and a length of [tex]2\sqrt{10}[/tex]
Learn more about square and its diagonals here:
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