Answer:
1/2
Step-by-step explanation:
Find two easy-to work with points
-3,2 and -1,3
slope, m = (y1-y2 ) / ( x1-x2)
(2-3) / ( -3 - -1) = -1/(-2) = 1/2
( it does not matter which point you select as x1 ,y1 or x2, y2 )
write down the next two terms of each of the following sequences
1.
\( \frac{3}{4} \frac{1}{2} \frac{1}{3} \frac{2}{9} \)
Pattern :
2.
9, 13, 22, 38
Answer:
ygfgjuhggffffffthbbvftyyhh hhggtyy hhgf hggff hggff hhgf vgt
Two numbers are in the ratio of 5:4, and their sum is 261 then
what will be the smaller number?
Answer:
116
Step-by-step explanation:
5:4:9
? :?:261
261 x 4 all divided by 9 = 116
Update me whether it's right or wrong!
Which of the following is the explicit rule for a geometric sequence defined by
a recursive formula of…
A. an = 13.7041
OB. a, = 13.70-1
O C. a, = 7.13+1
O D. an = 7.130-1
Answer:
D
Step-by-step explanation:
Always apply the formula a_n=ar^(n-1) in this type of questions, since you know that the first term, a is 7 and the common ratio, r is 13. Therefore you can substitute a = 7 and r = 13 into the equation which equals to a_n=7×13^(n-1)
The explicit rule for a geometric sequence defined by,
a(n) = 7 × 13ⁿ⁻¹
We have to given that,
a (n) = 13 a (n - 1)
Now, We can simplify as,
a (n) / a (n - 1) = 13
a (n) = 13 a (n - 1)
Since, We know that,
a(n) = a × rⁿ⁻¹
Here, a = 7
a(n) = 7 × 13ⁿ⁻¹
Hence, Option c is true.
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.Unlike traditional Work Breakdown Structures (WBS), evolutionary WBSs areA. organized in a standard manner across all projectsB. created in an iterative and incremental mannerC. designed so one can compare the current project to past projectsD. all of the aboveE. none of the above
The correct answer is B. created in an iterative and incremental manner.
Unlike traditional Work Breakdown Structures (WBS), evolutionary WBSs are developed in an iterative and incremental manner. This means that they are built and refined over time as the project progresses, allowing for adjustments and additions to be made as new information becomes available. The evolutionary WBS is not organized in a standard manner across all projects (A) and it is not specifically designed for comparison to past projects (C). Therefore, the answer is B. created in an iterative and incremental manner.
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I need the answer pliss
Answer:
Im sorry never did this before
when these equations are added together, what will the overall equation be? assume that no equations need to be reversed.
On adding the provided equations, 4x +7y= 17 and 9x + 13y = 46 the resultant equation we will be getting is 13x + 20y = 63.
In order to perform addition of two equations together, we are needed to add the left-hand side of each equation and the right-hand side of each equation separately. This gives us:
(4x + 7y) + (9x + 13y) = 17 + 46
Combining like terms on both the sides, we will be getting ,
13x + 20y = 63
Therefore, from the above calculations this inference can be drawn that the overall equation is calculated to be 13x + 20y = 63.
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The complete question is :
4x +7y= 17
9x + 13y = 46
when these equations are added together, what will the overall equation be? assume that no equations need to be reversed.
One microgram is equivalent to 10−6 grams. One kilogram is equivalent to 103 grams. How many orders of magnitude as heavy as the microgram is the kilogram?
The number of orders of magnitude that the kilogram is as heavy as the microgram is 10⁹.
What is the ratio between the kilogram and the microgram?The kilogram and the microgram are multiples of the gram which is the basic unit for measuring the mass of objects.
The kilogram is a higher multiple of the gram whereas the microgram is a smaller multiple of the gram.
1 kilograms = 1000 grams
1 microgram = 1/1000000 gram
Hence,
1 microgram = 1/1000000 * 1/1000 kilograms
Therefore, the ratio of kilograms to micrograms is 10⁹ : 1
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Find the magnitude of the
vector to the right (Round
to the nearest thousandths
place)
||v||= [z]
The magnitude of the vector v is v = √41 units
What is the magnitude of a vector?The magnitude of a vector with endpoints (x, y) and (x',y') is v = √[(x' - x)² + (y' - y)²]
Given the vector v in the diagram with endpoints (3, 1) and (-1,-4), to fin d its magnitude, we proceed as follows.
Since
(x,y) = (3,1) and(x',y') = (-1,-4)Substituting the values of the variables into the equation, we have that
v = √[(x' - x)² + (y' - y)²]
v = √[(-1 - 3)² + (-4 - 1)²]
v = √[(- 4)² + (- 5)²]
v = √[16 + 25]
v = √41
So, the magnitude is v = √41 units
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Evaluate the expression for A=3
32-4a
Hi ! Dude
Answer:
20 is the correct answer
Step-by-step explanation:
Given :a = 3 and ,An expression = 32 - 4aWhat we have to do :After reading question we can understand that we have to find the value of expression by plugin the value of a .
Solution Starts :\( \qquad \: \rightarrow 32 - 4a \)
Plugin value of a ,
\( \qquad \:\rightarrow \: 32 - 4(3)\)
\(\qquad \: \rightarrow \: 32 - 12\)
\(\qquad \: \rightarrow \: \underline{ \underline{20}}\)
Hence , 20 is the answer .
- - - -- - -- - - -- - - - - -- - - - - - - - - - - - - - - - - - - - - - - - - --
\(\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\)
Evaluate the expression for a=3
32-4a
\(\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\)
Provided Information:-
a=3The expression \(\bold{32-4a}\)
To Find:-
Simplify the expression 32-4a
In order to do that, we should
Substitute 3 in lieu of a:-\(\tt{32-4(3)}\)
Multiply:-
\(\tt{32-12}\)
Subtract:-
\(\dashrightarrow\bigstar\boxed{\boxed{\underline{\bold{20}}}}\dashleftarrow\)
So our final solution is 20.
Good luck.- - -- - - - - - - - - - - - - - - - - -- - - - - - - - - - -- -- - - - - -- - - - - - - - - - - - -
A clothing business finds there is a linear relationship between the number of shirts, n, it can sell and the price, p, it can charge per shirt. In particular, historical data shows that 1,000 shirts can be sold at a price of $30, while 3,000 shirts can be sold at a price of $5. Find a linear equation in the form p(n)
Answer:
p=(-0.0125n) + 42.5
Step-by-step explanation:
Let p= price
n = number of shirts
m = slope of the line (note, the more shirts, the lower the price, so we know it's going to be negative)
b = y intercept
There are two points which are (1000, $30) and (3000, $5)
Our slope m = (p1-p2)/(n1-n2)
Filling in from our points m = (30-5)/(1000-3000)
m = 25/-2000
m = -0.0125
Since we have determined our slope, we can now find our equation
p-p1=m(n-n1)
p-30=(-0.0125)(n-1000)
p-30= (-0.0125n) + 12.5
p=(-0.0125n) + 42.5
Then, we can double check with the other point there:
p=(-0.0125n) + 42.5
5? (-0.0125x 3000) + 42.5
5= 5
Therefore,linear equation in the form p(n) is
p=(-0.0125n) + 42.5
If the smaller of two numbers is one-half of the larger number and the sum of the two numbers is 75
Step-by-step explanation:
let the larger number=n
then the smaller number=½n
We conclude from the question that
n+½n=75
3/2n=75
3n=150
n=150/3=50
Therefore the larger number=50 and the smaller number=½×50=25
solve for 6xsquare-x-2<0
Answer:
-x-2<0-x=2x= -2hope it helps.
Answer:
\(\frac{-1}{2} <x<\frac{2}{3}\)
Step-by-step explanation:
6x² - x - 2 < 0
6x² - 4x + 3x - 2 < 0
(6x² - 4x) + (3x - 2) < 0
2x(3x - 2) + (3x - 2) < 0
(3x - 2)(2x + 1) < 0
\(\left \{ {{3x - 2<0} \atop {2x + 1>0}} \right.\)
\(\left \{ {{3x<2} \atop {2x>-1}} \right.\)
\(\left \{ {{x<\frac{2}{3} } \atop {x>\frac{-1}{2} }} \right.\)
On the blue prints for a house, 2 inches represents 3 feet. If the width of a room on
the plan is 6½ inches, what is the actual width of the room?
Please help!!
Answer:
The actual width would be 9.75 feet. (I think).
Step-by-step explanation:
If two inches represents three feet, then two inches also represents thirty-six inches. You would then have to set up the proportion \(\frac{2}{36} = \frac{6.5}{x}\). Solving that proportion would get you an answer of 117 inches, equal to 9.75 feet. I hope this helps! :)
What is this answer?
Answer:
(4,-1)
Step-by-step explanation:
TRUE/FALSE. in a poisson distribution, the probability of success may vary from trial to trial.
The statement is false because in a Poisson distribution, the probability of success does not vary from trial to trial.
The Poisson distribution is a discrete probability distribution that describes the number of times an event occurs in a fixed time interval or spatial region, given the average rate of occurrence and assuming that the events are independent and random.
The Poisson distribution has only one parameter, λ, which represents the average rate of occurrence of the event.
The probability of observing k events in the interval is given by the Poisson probability mass function:
P(k) = (e^(-λ) * λ^k) / k!
where e is the base of the natural logarithm, and k is a non-negative integer.
The Poisson distribution assumes that the probability of observing an event at any given point in time or space is constant, and that the events are independent of each other.
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what is the slope for y=4x -4
Find the x and y-intercept(s) of y= 2 (x +1)^2 +3.Please i answered this but i did it wrong I need a graph provided for the answer PLSSSS
(b) If n(U)= 300, n(M) = 150, n(T) = 144 and n( MT)= 33. Find the value of n(MUT). (ii) Present the above information in a Venn diagram.
Answer:
Step-by-step explanation:
n(M ∪ T) = n(M) + n(T) - n(M∩T)
= 150 + 144 - 33
= 294 - 33
= 261
The reaction time (in seconds) to a certain stimulus is a continuous random variable with pdf f(x) 5 5 3 2 ? 1 x2 1
The probability that the reaction time for this density function is at most 2.5 seconds is equal to 0.9.
What is a density function?A density function can be defined as a type of function which is used to represent the density of a continuous random variable that lies within a specific range.
How to calculate the probability that reaction time is at most 2.5 seconds?P(X ≤ 2.5) = Fx(2.5)
Fx(2.5) = 3/2 - 3/2(2.5)
Fx(2.5) = 3/2 - 3/5
Fx(2.5) = 0.9.
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Complete Question:
The reaction time (in seconds) to a certain stimulus is a continuous random variable with pdf:
f(x) = \(\left \{ {{\frac{3}{2x^2} \;1 \leq x\leq 3} \atop {0}\;otherwise} \right\)
What is the probability that reaction time is at most 2.5 seconds?
Please answer correctly !!!!!!!!!! Will mark brainliest !!!!!!!!!!!!
Answer:
11.5 years old
Step-by-step explanation:
Let's call Michael's current age m, and Brandon's current age b.
m=3b
m-18=9(b-9)
Substituting:
3b-18=9(b-9)
3b-18=9b-81
6b=63
b=11.5
Hope this helps!
State the maximum and minimum values if they exist.
The maximum and minimum values are 34.5 and 2
How to determine the maximum and minimum valuesfrom the question, we have the following parameters that can be used in our computation:
P = 2x + 7y
Subject to:
4x - 2y <= 5
x >= 1
0 <= y <= 4
Next, we plot the constraints on a graph
From the graph, we have the following vertices
(1, 0), (4, 0) and (3.25, 4)
This gives
P = 2(1) + 7(0) = 2
P = 2(4) + 7(0) = 8
P = 2(3.25) + 7(4) = 34.5
Hence, the minimum is 2 and the maximum is 34.5
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Using this plot of annual peak discharge, what is the probability each year that a flood of 1,000 cubic meters per second will occur
Using the plot, it is found that there is a 10% probability each year that a flood of 1,000 cubic meters per second will occur.
The question is incomplete, but the plot can be found on the internet.On the x-axis, it is given the probability of a flood of of y cubic meters per second.When y = 1,000, we have that x = 10%, hence, there is a 10% probability each year that a flood of 1,000 cubic meters per second will occur.
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I do believe i need help.
Answer:
A
Step-by-step explanation:
Can't have 0 in the denominator
The function f(x) = 225(1.29)", represented in the table, shows the number of people (in thousands) who own a cell phone device in a certain country where x is the number of years after 2010.
Year
Number of Cell Phone Owners
(in thousands)
2010 2012 2014 2016 2018
225 375 623 1,037 1,725
Find the average rate of change from 2012 to 2018 and interpret its meaning in terms of the context. (1 point)
-225; represents the average depreciation in cell phone owners from 2012 to 2018
225; represents the average growth in cell phone owners from 2012 to 2018
-37.5, represents the average depreciation in cell phone owners from 2012 to 2018
37.5, represents the average growth in cell phone owners from 2012 to 2018
Therefore , the solution of the given problem of function comes out to be f(x) = 2871 thousands.
What is meant by the word function?A science called mathematics studies numbers, its variations, arithmetic and the local tissue, shapes, and both their existing and projected places. The relationship between a group of inputs, which each have a corresponding output, is described by a function. A function is a collection of inputs that together produce a single, recognizable output with each input. A city, municipality, or scope—often referred to as a realm—is assigned to each function. Usually, the letter f is used to represent functions (x). The input has an x in it.
Here,
Given :
=> f(x) = 225(1.29)×
After 10 year number of years x =10
=> f(x) = 225(1.29)¹⁰
=> f(x) = 12.76 * 225
=> f(x) = 2871 thousands.
Therefore , the solution of the given problem of function comes out to be f(x) = 2871 thousands.
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The points on a parabola where the graph changes from increasing to decreasing
The turning point of a parabola, also called the vertex, is the point on the parabola where the graph changes from increasing to decreasing, or from decreasing to increasing.
What is parabola?
A parabola may be a formed plane curve wherever any point is at an equal distance from a fixed point (known because the focus) and from a fixed line that is known because the directrix.
Main BODY:
When a graph is rising from left to right, we say that it is increasing. When a graph is falling from left to right, we say that it is decreasing. The points at which this trend changes in a graph are called the turning points of the graph. Since a parabola has the shape of a U or an upside down U, it has exactly one turning point, which we can identify using the following facts:
If a parabola is in the shape of a U, then the turning point is a minimum point, or where the parabola changes from decreasing to increasing.If a parabola is in the shape of an upside down U, then the turning point is a maximum point, or where the parabola changes from increasing to decreasing.Hence ,The turning point of a parabola is called the vertex.
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can someone help me with my math pels
Answer:
just do that quik mafs
Step-by-step explanation:
What is the slope of a line that is perpendicular to the line y= -1/2x + 5?
A. -2
B. -1/2
C. 1/2
D. 2
Answer: on else beans or torti
A car trip is 1/2h shorter that a bus trip. How long is the car trip if the bus trip is 3/4h?
Answer:
1/4h
Step-by-step explanation:
The car trip is 1/2h shorter than the bus trip.
The bus trip is 3/4h long.
Therefore, the length of the car trip is:
3/4h - 1/2h = 1/4h
The car trip is 1/4h long.
For their twentieth wedding anniversary, Richard and Sylvia had a party for several of their best friends. Things were going along just fine until one of their friends asked the happy couple who was older! Here's what they had to say. Richard: "I am older than my wife." Sylvia: "I am younger than my husband." That might have been the end of it, but one of the guests knew that at least one member of the couple was lying. Well, who is older, Richard or Sylvia?
Answer:
Richard is older
Step-by-step explanation:
We can set up an inequality for both statements.
Let r equal Richard's age and s equal Sylvia's age.
"I am older than my wife."
Since Richard is speaking, the inequality would look like this:
r > s
This means Richard is older than Sylvia.
"I am younger than my husband."
Since Sylvia is speaking, the inequality would look like this:
s < r
This means that Sylvia is younger than Richard.
We can flip one inequality to "see" them from the same perspective.
Let's use s < r
To make it so that we can see the relationship from Richard's perspective, flip the entire inequality.
s < r
to
r > s
The inequality from the first quote is identical to this one!
Therefore, Richard is older than Sylvia.
this is due today can anyone help me plsssss
Answer:
-19.68
-1/10x+8/5
25 1/3
-50
22.75
Step-by-step explanation:
Answer:
6) 22.75gallons
7) -50feets
8) 25⅓ inches
9)2/5
10) -19.68