Answer:
slope: -1/2
y intercept: -1
Question Use the drawing tools to form the correct answer on the provided grid. For the sequence (1,4,7,10,...), the index starts at 1. Graph the function f(n) on the coordinate plane, where fis a function that describes the sequence. Graph as much of the sequence as will fit on the grid. Drawing Tools Delete the Undo Reset 18 16+ 15 14 13 12 10 9
Answer:
hmm let see about dat am coming let me solve it
Answer:
f(n) =x
Step-by-step explanation:
There is no other variables so just plot the points by their numbers.
Janice’s family grows tomato plants on a rectangular plot of land. The total area of the garden is ⅜ square meters, and the length of the rectangle representing this piece of land is ½ meters. What is the width of the garden?
Answer:
The correct answer is 3/4 meters.
Step-by-step explanation:
-We know that the area is 3/8 square meters
-And that the length is 1/2 meters
We need to find out what the width is.. But how?
Remember that, length x width is the key to finding the Area.
L x W = A
If we divide the Area by Length, we can find the missing width to this equation.
3/8 divided by 1/2
= 3/4
Linda has $20 in her savings account Option will add to her account each month Option 2 will double the amount in her account at the end of each month PART A Write a function in terms of to model each option of saving PART B: Linda wants to have at least 800 in her account at the end of months so that she can go on vacation . Determine which option will enable her to reach her goal Justify your answer
Therefore, option 2 is the better option for Linda to choose.
Given that Linda has $20 in her savings account. The following are the two options she has for saving:
Option 1: Adding $30 to her account each month.
Option 2: Doubling the amount in her account at the end of each month.PART AThe amount in Linda's account for option 1 is given by the function:
A(n) = 20 + 30n
where n represents the number of months. This is because she has $20 initially and then adds $30 for each of the n months.
For option 2, the amount in Linda's account is given by the function:A(n) = 20 x 2^nwhere n represents the number of months. This is because she has $20 initially and then doubles this amount for each of the n months.PART BWe need to determine which option will enable Linda to reach her goal of having at least $800 in her account at the end of months.Let's start by considering
option 1:A(n) = 20 + 30nWe need to find the value of n such that A(n) >= 800. So we can write:20 + 30n >= 800Solving for n, we get:n >= 26.33Since we cannot have a fractional number of months, we need to round up to the next whole number. Therefore, Linda needs at least 27 months to reach her goal of $800 using option 1.Now let's consider option 2:A(n) = 20 x 2^n
We need to find the value of n such that A(n) >= 800. So we can write:
20 x 2^n >= 800
Dividing both sides by 20, we get:
2^n >= 40
Taking the logarithm of both sides (base 2), we get:
n >= 5.32
Again, since we cannot have a fractional number of months, we need to round up to the next whole number. Therefore, Linda needs at least 6 months to reach her goal of $800 using option 2.Since option 2 requires a shorter time to reach Linda's goal, this is the option that will enable her to reach her goal in the shortest time.
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what is the length of AC
Answer:
16
Step-by-step explanation:
A website advertises 85 video games for $1969. How much would 160 video games cost at the same unit
price?
Answer:
$3705.60
Step-by-step explanation:
1969/85=23.16
23.16x160=3705.6
if C{1,2} and D={4,5,6}, find C×D by tabulation method. i need for exam
Answer:
Step-by-step explanation:
C * D = {(x,y): x is an element of C and y is an element of D.}
C * D = { (1,4), (1,5), (1,6), (2,4), (2,5), (2,6) }
If R= {(1,2), (3,4), (5,6), (8,9)} find the domain and range of R a. Find value of X and Y.
Answer:
Domain = (1,3,5,8) and Range = (2, 4, 6, 9)
Step-by-step explanation:
Domain are sets of input values
Range are set of output values that have a corresponding values in the domain
From (domain, range)
Therefore, the domain are: (1,3,5,8)
Range are: (2,4,6,9
visiting amazon and visiting pinterest are not independent events. but, if they were independent events, what would you expect the probability of visiting both amazon and pinterest to be?
The answer to this problem is dependent on the probability of each event separately. Since we don't have any given information on the likelihood of visiting Amazon or Pinterest, we'll have to make an educated guess. Let's assume that the probability of visiting Amazon is 60%, and the probability of visiting Pinterest is 50%.
We may calculate the probability of visiting both Amazon and Pinterest as independent events using the formula:
P(A ∩ B) = P(A) * P(B)
where, P(A) = probability of visiting Amazon
P(B) = probability of visiting Pinterest
Using our assumed probabilities, we have:
P(A) = 0.6P(B) = 0.5P(A ∩ B) = P(A) * P(B)= 0.6 * 0.5= 0.3
We expect the probability of visiting both Amazon and Pinterest to be 0.3. Therefore, if Amazon and Pinterest were independent events, there would be a 30% chance of visiting both Amazon and Pinterest when visiting either one.
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What is the standard deviation of the number of customers who make a purchase during the first hour that the store is open
Answer:
busy people
Step-by-step explanation:
before shop ending
can you please help me fill this out thanks
Answer: \(\sqrt{2}\)
Step-by-step explanation:
In a 45 45 90 triangle the two sides are 1 wile the hypothenuse is \(\sqrt{2}\)
Point G is on line segment
F
H
‾
FH
. Given
G
H
=
8
,
GH=8,
F
H
=
3
x
+
3
,
FH=3x+3, and
F
G
=
2
x
,
FG=2x, determine the numerical length of
F
G
‾
.
FG
.
The numerical length of the line segment FG is 10 units.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.
Point G is on FH, hence:
FH = FG + GH
Given that GH = 8, FH = 3x + 3, FG = 2x, hence:
3x + 3 = (2x) + 8
x = 5
FG = 2x = 2(5) = 10
The numerical length of the line segment FG is 10 units.
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Simplify 7⁶ ⋅ 7⁵
49¹¹
49³⁵
7¹¹
7³⁵
The final answer is 7^(11).
To simplify the given expression 7⁶ ⋅ 7⁵, follow these steps:
Step 1: Apply the product of powers property which states that a^m ⋅ a^n = a^(m+n). In this case, a=7, m=6, and n=5.
7⁶ ⋅ 7⁵ = 7^(6+5)
Step 2: Add the exponents:
7^(6+5) = 7¹¹
So, the simplified expression is 7¹¹.
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Find the area of hexagon DEFGHI.
Step-by-step explanation:
Break it up into two trapezoids as shown
area = trap1 + trap2
= 2 * (7+3) / 2 + 3 * ( 7 + 3) / 2 = 10 + 15 = 25 units^2
35-2x4 to the 2 power
Answer:
I belive the answer is 3.
Step-by-step explanation:
35-2x4^2
35-2x16
35-32
3
Answer:
\(1225-140x^4+4x^8\)
Step-by-step explanation:
(35-2x^4)^2 is a form of \((a-b)^2=a^2+b^2-2ab\)
Applying this formula, we get 1225+4x^8-140x^4
I borrow $5 from Luis and $ 8 from Stephanie.
How do I show my debt with integers.
Answer:
-5 + -8 = -13
Step-by-step explanation:
-5 + -8 = -13
in total you owe $13 but seperat it’s $5 and $8.
also you show a debt with Integers by using negative numbers.
PlS PLS PLS HELP ME
Answer:
7.1
Step-by-step explanation:
This seems to be a case of using the Pythagorean Theorem. I'm assuming, based on the layout, that 16cm refers to the hypotenuse of the top triangle.
First, we must find the hypotenuse of the lower triangle. 6^2 is 36, and 13^2 is 169, and adding them both gets 205. Therefore, the hypotenuse is \(\sqrt{205}\). This may be able to be simplified, I'm not sure, but I'm going to leave it as is.
Next, we use this hypotenuse to find the value of y on the top triangle. y is the length of a leg, so we need to do the Pythagorean Theorem in reverse, subtracting instead of adding.
16^2 is 256, and \(\sqrt{205}\) squared is just 205, so then we subtract the leg squared from the hypotenuse squared. 256 - 205 = 51, meaning y = \(\sqrt{51}\). In decimal form, and rounded to one decimal place, that would be 7.1.
Hope this helps! Let me know if you have any questions :D
Answer:
y = 7.1
Step-by-step explanation:
To answer this question we need to use pythagoras theorem: a² + b² = c²
The first thing we need to do is find the hypotenuse is the traingle with height 13 and width 6...
a² + b² = c²13² + 6² = 205√205Now to find the width of the second triangle...
16² - (√205)² = 51√51 = 7.14142842854...= 7.1This means our answer is 7.1!!!
Hope this helps, have a nice day! :)
f(n)=10*2^n at n=5
please show step by step on how you got the answer
Answer:320
Step-by-step explanation:PEMDAS. So first you would do the exponent 2^5= 32 (2x2=4 4x2=8 8x2=16 16x2=32)
Then you multiply 10x32 which equals 320
In a recent year, 33.1% of all registered doctors were female. If there were 53700 female registered doctors that year, what was the total number of registered doctors?Round your answer to the nearest whole number.
It's given that 33.1% of all registered doctors were female, corresponding to 53700 female registered doctors.
It's required to find the total number of registered doctors.
The total number of doctors corresponds to 100%, so we use the inverse percentage calculation:
\(n=\frac{53700}{33.1}\cdot100=162236\)There were 162236 doctors in total
Use the Inverse Function Property to determine whether f and g are inverses of each other.f(x) = 8x - 3 and g(x) = (x + 3)/8
To determine whether f(x) = 8x - 3 and g(x) = (x + 3)/8 are inverses of each other, we need to check whether f(g(x)) = x and g(f(x)) = x for all x in their domains.
First, let's find f(g(x)):
f(g(x)) = f[(x + 3)/8] = 8[(x + 3)/8] - 3 = x + 3 - 3 = x
Therefore, we have shown that f(g(x)) = x for all x in the domain of g.
Next, let's find g(f(x)):
g(f(x)) = g[8x - 3] = [(8x - 3) + 3]/8 = x
Therefore, we have shown that g(f(x)) = x for all x in the domain of f.
Since f(g(x)) = x and g(f(x)) = x for all x in their domains, we can conclude that f and g are inverses of each other.
In other words, g is the inverse of f, and f is the inverse of g.
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The quastion is on graph theory, matching.
Let A and B each be sets of N labeled vertices, and consider bipartite graphs between A and B.
Consider taking |E| =aN, i.e., the total number of edges is proportional to the number of vertices. This is a relatively sparse number of edges, given the total number of edges that can exist between A and B.
6) Show that taking |E| = 3/N, the expected number of matchings goes to 0 as N › [infinity]. (5 points)
7) Show that taking |E| = 4.V, the expected number of matchings goes to infinity as N › [infinity]. (5 points)
The expected number of matchings goes to infinity as N › [infinity].
Matching in Graph Theory:A matching in Graph Theory is a set of edges of a graph where no two edges share a common vertex. In other words, a matching is a set of independent edges of a graph. A perfect matching in a Graph Theory is a matching of size equal to half the number of vertices in a graph.The expected number of matchings goes to 0 as N › [infinity]:The expected number of matchings goes to zero as N › [infinity] when |E| = 3/N. It is because 3/N is a relatively dense number of edges that are independent of the number of vertices that can exist between A and B. The expected number of matchings is thus very small in comparison to the total number of matchings possible as N › [infinity].The expected number of matchings goes to infinity as N › [infinity]:The expected number of matchings goes to infinity as N › [infinity] when |E| = 4.V. It is because 4.V is a relatively large number of edges that are independent of the number of vertices that can exist between A and B. The expected number of matchings is thus very large in comparison to the total number of matchings possible as N › [infinity]. Hence the expected number of matchings goes to infinity as N › [infinity].
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Corey walked three blocks east and then six blocks north. All the blocks were the same length. What is the value of the slope of the line from where Corey began walking to where he finished?
A= -3
B= -2
C= 2
D= 3
The table shows the number of runs earned by two baseball players.
Player A Player B
2, 1, 3, 8, 2, 3, 4, 4, 1 1, 4, 5, 1, 2, 4, 5, 5, 10
The table shows the number of runs earned by two baseball players.
Player A Player B
2, 1, 3, 8, 2, 3, 4, 4, 1 1, 4, 5, 1, 2, 4, 5, 5, 10
Find the best measure of variability for the data and determine which player was more consistent.
Player A is the most consistent, with a range of 7.
Player B is the most consistent, with a range of 9.
Player A is the most consistent, with an IQR of 2.5.
Player B is the most consistent, with an IQR of 3.5.
The correct option is that C. Player A is the most consistent, with an IQR of 2.5.
How to explain the dataThe IQR is a spread metric that is less influenced by extreme values. It is the difference between the third (Q3) and first (Q1) quartiles. The quartiles for Player A are as follows:
Q1 = 2
Q3 = 4
IQR = Q3 - Q1 = 4 - 2 = 2
The quartiles for Player B are as follows:
Q1 = 2
Q3 = 5.5
IQR = Q3 - Q1 = 5.5 - 2 = 3.5
The IQR is regarded a better indicator of variability than the range since it is less impacted by extreme results. As a result, we may infer that the interquartile range is the best measure of variability for this data.
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solve the system by substitution
5x+y=-14
5x- 3y=2
Answer:
x=-2 and y=-24
Step-by-step explanation:
plug in the value of y (-5x-14) into the second equationwhat force is required so that a particle of mass m has the position function r(t) = t3 i 7t2 j t3 k? f(t) =
The force needed for a particle of mass m with the given position function is expressed as F(t) = 6mti + 14mj + 6mtk.
The force exerted on a particle with mass m, described by the position function r(t) = t³i + 7t²j + t³k,
How to determine the force required for a particle of mass m has the position function?To determine the force required for a particle with position function r(t) = t³i + 7t²j + t³k, we shall calculate the derivative of the position function with respect to time twice.
The force function is given by the second derivative of the position function:
F(t) = m * a(t)
where:
m = the mass of the particle
a(t) = the acceleration function.
Let's calculate:
First, we compute the velocity function by taking the derivative of the position function with respect to time:
v(t) = dr(t)/dt = d/dt(t³i + 7t²j + t³k)
= 3t²i + 14tj + 3t²k
Next, we find the acceleration function by taking the derivative of the velocity function with respect to time:
a(t) = dv(t)/dt = d/dt(3t²i + 14tj + 3t²k)
= 6ti + 14j + 6tk
Finally, to get the force function, we multiply the acceleration function by the mass of the particle:
F(t) = m * a(t)
= m * (6ti + 14j + 6tk)
Therefore, the force required for a particle of mass m with the given position function is F(t) = 6mti + 14mj + 6mtk.
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Find x. Round the the nearest whole number
Answer:
Step-by-step explanation:
I think it should be 20 because the line is similar to the 18 line so you can round up to 20.
write a sequence with these terms
a)are multiple of 10
b)all even numbers
c)are multiple of 10
d) include 60and 70
e)end with 80
Answer:
a) 10, 20, 30, ...
b) 2, 4, 6, ...
c) 10, 20, 30, ...
d) 61, 66, 71, 76, ...
e) 180, 280, 380, ...
i dont know if this is correct but hope it helps
Can pls someone help me with my homework plsss
Step-by-step explanation:
Given that,
Hypotenuse, H = 10
The angle of elevation is 44°
We know that,
\(\sin\theta=\dfrac{P}{H}\)
P is perpendicular
\(P=H\times \sin\theta\\\\P=10\times \sin(44)\\\\P=6.94\)
Using Pythagoras theorem,
\(RT=\sqrt{10^2-6.94^2}\\\\RT=7.1\)
The sum of angle of a triangle is equal to 180.
44+90+S=180
S=180-134
S = 46°
Hence, this is the required solution.
Can someone please help me?
The curriculum runs from Mon 27/7/2020 to Fri 27/11/2020, work out how many full weeks this is by using a calendar.
a) Number of weeks:
b) Convert the number of weeks to fortnights:
You work on your studies 3 days of the week
a) What is the total number of days that you study using the number of weeks you calculated earlier and 3 days a week
b) If you work 2 hours a day what would the total number of hours be over the course?
Using proportions, the amounts are given as follows:
a) Number of weeks: 17.
b) Number of fortnights: 8.5.
a) Number of days studied: 51.
b) Number of hours studied: 102.
What is a proportion?A proportion is a fraction of a total amount, and this fraction is used to build relations, using basic arithmetic operations such as multiplication or division, to obtain the desired measures in the context of a problem.
Using a calendar, the number of weeks between these two dates is of:
17.
A fortnight is composed by two weeks, hence the number of fortnights is:
17/2 = 8.5.
You studied 3 days a week, hence the number of days studying was of:
17 x 3 = 51 days.
You studied 2 hours a hence, hence the number of hours studying was of:
51 x 2 = 102 hours.
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A house was bought for $450 000 and 3 years later was valued at $540 000. Find: a. The new value as a percentage of the old value b. The increase in value over the three year period c. The increase in value as a percentage of the original value
Answer:
A) The percentage is given by (The new value)/(The old value)*100 = 120%
B) The increase in value is $90000
C) The increase as a percentage is (90000/450000)*100=20%
a. The new value is 120% of the old value.
b. The increase in value over the three-year period is $90 000.
c. The increase in value over the three-year period is 20% of the original value.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
a. To find the new value as a percentage of the old value, we can divide the new value by the old value and multiply by 100 to get a percentage:
New value as a percentage of old value = (New value / Old value) x 100%
= ($540 000 / $450 000) x 100%
= 120%
Therefore, the new value is 120% of the old value.
b. To find the increase in value over the three-year period, we can subtract the old value from the new value:
Increase in value = New value - Old value
= $540 000 - $450 000
= $90 000
Therefore, the increase in value over the three-year period is $90 000.
c. To find the increase in value as a percentage of the original value, we can divide the increase in value by the old value and multiply by 100 to get a percentage:
Increase in value as a percentage of original value = (Increase in value / Old value) x 100%
= ($90 000 / $450 000) x 100%
= 20%
Therefore, the increase in value over the three-year period is 20% of the original value.
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How do I find the missing side?
Answer:
using pythagorean theorem I got that x=8.67698104181