Answer:
The square root of fifty is 7.10 rounded
Step-by-step explanation:
It would be around 7 on the number line. Hope this helps!!
Give a counterexample that disproves each conjecture below.
1) No triangles have two sides of the same length.
2) No women have been elected U.S. senators.
3) All~basketball players are more than 6 feet tall.
4) If you live in Texas, then youlive in Houston.
5} If it is a cell phone, then it has a touch screen.
6) If x is any number, then x2> 2.
8) If x >_ 0, then x + 2 = 7.
9) If x2 =16 , then x = 4.
10) All figures with four sides of equal length are squares.
11) The square of a number rs largex than the number.
12) If a numbex is prime, then it zs an. odd number.
Answer:
1) No triangles have two sides of the same length.
An isosceles triangle is a triangle that has 2 sides that have a same length.2) No women have been elected U.S. senators.
Dianne Feinstein, a woman-elected senator of California.3) All basketball players are more than 6 feet tall.
Isaiah Thomas is a prime example of a basketball player who has the height of 5'9.4) If you live in Texas, then you live in Houston.
Matthew McConaughey, a born-and-raised Texan star lives in Austin near his mom and other family members.5) If it is a cell phone, then it has a touch screen.
Before smart phones, there were flip phones where the user would have to dial everything to able to use it.6) If x is any number, then x2> 2.
Not sure what you meant.8) If x >_ 0, then x + 2 = 7.
Not sure what you meant.9) If x2 =16 , then x = 4.
Not sure what you meant.10) All figures with four sides of equal length are squares.
Rectangles have longer sides equal in length and their shorter sides equal in length with each other, but is not considered a square.11) The square of a number rs largex than the number.
Not sure what you meant.12) If a number x is prime, then it zs an. odd number.
Not sure what you meantHoped this help!
You should rephrase some of your questions because I have no idea what it's saying.
-Bob Ross
What’s the slope for x<-3
Answer:As you can see, this line is vertical! It goes directly up. We know that because the equation says that X is equal to -3. It is telling us that no matter what the Y value is, X will be -3.
Step-by-step explanation:
The equation to find slope is to take two points
(A,B) and (C,D) and to do the following equation: D−B
______
C−A
So, let's take two points. Let's say that Y is equal to 3 and 2. In that case, since X is always -3, our points would be (−3,2) and (−3,3).
Now, let's substitute into our formula.
3−2 1 1
------ = ----- = ---
3 (−3) (subtract) -3 + 3 0
As you can see, the final slope is 1/0
. If you put that into your calculator, it will come out as undefined, because any number divided by zero is undefined. And so your slope for any vertical line is undefined.
Solve 2^x=32, and rewrite this equation in a logarithmic form.
Answer:
To solve 2^x = 32, we need to find the value of x that satisfies the equation.
We can rewrite 32 as a power of 2 by noting that 2^5 = 32. Therefore, we have:
2^x = 2^5
Since the bases of the powers are equal, we can equate the exponents:
x = 5
So the solution to 2^x = 32 is x = 5.
To rewrite this equation in a logarithmic form, we can use the definition of logarithms:
log(base 2)32 = x
Here, the logarithm with base 2 of 32 is equal to x.
Mark my answer as Brainliest!!
Linear equations by graphing y=3/4x-4 y=-1/2x+11
The solution to the linear equations y=3/4x-4 and y=-1/2x+11, as shown in the graph in the attachment is: (12, 5).
How to Find the Solution to a System of Linear Equations by Graphing?If the lines that represent the linear equations of a system are graphed, the coordinates of x and y of the point where the two lines intersect is the solution to the system of linear equations.
Given the equations, y = 3/4x - 4 and y = -1/2x + 11, the line of y = 3/4x - 4 is the red line in the image attached below which has a slope of 3/4 and a y-intercept of -4, while the line of y = -1/2x + 11 is the blue line that has a slope of -1/2 and has a y-intercept of 11.
The graph also shows that the lines of both linear equations intersect at (12, 5).
Therefore, the solution to the linear equations is:
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lim ₓ→∞ (x+4/x-1)∧x+4
It looks like the limit you want to find is
\(\displaystyle \lim_{x\to\infty} \left(\frac{x+4}{x-1}\right)^{x+4}\)
One way to compute this limit relies only on the definition of the constant e and some basic properties of limits. In particular,
\(e = \displaystyle\lim_{x\to\infty}\left(1+\frac1x\right)^x\)
The idea is to recast the given limit to make it resemble this definition. The definition contains a fraction with x as its denominator. If we expand the fraction in the given limand, we have a denominator of x - 1. So we rewrite everything in terms of x - 1 :
\(\left(\dfrac{x+4}{x-1}\right)^{x+4} = \left(\dfrac{x-1+5}{x-1}\right)^{x-1+5} \\\\ = \left(1+\dfrac5{x-1}\right)^{x-1+5} \\\\ =\left(1+\dfrac5{x-1}\right)^{x-1} \times \left(1+\dfrac5{x-1}\right)^5\)
Now in the first term of this product, we substitute y = (x - 1)/5 :
\(\left(\dfrac{x+4}{x-1}\right)^{x+4} = \left(1+\dfrac1y\right)^{5y} \times \left(1+\dfrac5{x-1}\right)^5\)
Then use a property of exponentiation to write this as
\(\left(\dfrac{x+4}{x-1}\right)^{x+4} = \left(\left(1+\dfrac1y\right)^y\right)^5 \times \left(1+\dfrac5{x-1}\right)^5\)
In terms of end behavior, (x - 1)/5 and x behave the same way because they both approach ∞ at a proportional rate, so we can essentially y with x. Then by applying some limit properties, we have
\(\displaystyle \lim_{x\to\infty} \left(\frac{x+4}{x-1}\right)^{x+4} = \lim_{x\to\infty} \left(\left(1+\dfrac1x\right)^x\right)^5 \times \left(1+\dfrac5{x-1}\right)^5 \\\\ = \lim_{x\to\infty}\left(\left(1+\dfrac1x\right)^x\right)^5 \times \lim_{x\to\infty}\left(1+\dfrac5{x-1}\right)^5 \\\\ =\left(\lim_{x\to\infty}\left(1+\dfrac1x\right)^x\right)^5 \times \left(\lim_{x\to\infty}\left(1+\dfrac5{x-1}\right)\right)^5\)
By definition, the first limit is e and the second limit is 1, so that
\(\displaystyle \lim_{x\to\infty} \left(\frac{x+4}{x-1}\right)^{x+4} = e^5\times1^5 = \boxed{e^5}\)
You can also use L'Hopital's rule to compute it. Evaluating the limit "directly" at infinity results in the indeterminate form \(1^\infty\).
Rewrite
\(\left(\dfrac{x+4}{x-1}\right)^{x+4} = \exp\left((x+4)\ln\dfrac{x+4}{x-1}\right)\)
so that
\(\displaystyle \lim_{x\to\infty} \left(\frac{x+4}{x-1}\right)^{x+4} = \lim_{x\to\infty}\exp\left((x+4)\ln\dfrac{x+4}{x-1}\right) \\\\ = \exp\left(\lim_{x\to\infty}(x+4)\ln\dfrac{x+4}{x-1}\right) \\\\ =\exp\left(\lim_{x\to\infty}\frac{\ln\dfrac{x+4}{x-1}}{\dfrac1{x+4}}\right)\)
and now evaluating "directly" at infinity gives the indeterminate form 0/0, making the limit ready for L'Hopital's rule.
We have
\(\dfrac{\mathrm d}{\mathrm dx}\left[\ln\dfrac{x+4}{x-1}\right] = -\dfrac5{(x-1)^2}\times\dfrac{1}{\frac{x+4}{x-1}} = -\dfrac5{(x-1)(x+4)}\)
\(\dfrac{\mathrm d}{\mathrm dx}\left[\dfrac1{x+4}\right]=-\dfrac1{(x+4)^2}\)
and so
\(\displaystyle \exp\left(\lim_{x\to\infty}\frac{\ln\dfrac{x+4}{x-1}}{\dfrac1{x+4}}\right) = \exp\left(\lim_{x\to\infty}\frac{-\dfrac5{(x-1)(x+4)}}{-\dfrac1{(x+4)^2}}\right) \\\\ = \exp\left(5\lim_{x\to\infty}\frac{x+4}{x-1}\right) \\\\ = \exp(5) = \boxed{e^5}\)
Question 2
No calculations are necessary to answer this question.
3/01
3/02
$1.7420 $1.7360
Date
July GBP Futures
Contract Price
O long; long
Based on the closing prices of July GBP Futures Contract over the 3-day period in March 20XX as shown above, you shou
position on 3/01 and a position on 3/02.
O long; short
O short; short
3/03
short; long
$1.7390
The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.
At the Arctic weather station, a warning light turns on if the outside temperature is below -25 degrees Fahrenheit. Which inequality models this situation?
Answer:
T < -25
Step-by-step explanation:
Was correct on TTM
choose the most convenient method to graph a line 3x - 2y equals -12
y-intercept would be, when x=0:
\(\begin{gathered} -2y=-12 \\ y=\frac{-12}{-2}=6 \end{gathered}\)x-intercept would be, when y=0:
\(\begin{gathered} 3x-2(0)=-12 \\ 3x=-12 \\ x=\frac{-12}{3} \\ x=-4 \end{gathered}\)Now, having these intercepts we can graph the line.
So, the most convenient method is to find x-intercept and y-intercept.
what is answer plz help
Answer:
y=1
Step-by-step explanation:
When x= -4, y=1, i don't know how else to explain it. Find the y value of the graph at that point.
Answer:
y=1
Step-by-step explanation:
if we look at the graph at x-axis where x= -4 and go to meet the line graph , now look at the y -axis and see y= 1
Use the following sets to answer the question.
A={1,2,3,4,5}
B={5,6,7,8}
Which answer shows the union of sets A
and B?
{5}
{1,2,3,4,6,7,8,9}
{1,2,3,4,5,6,7,8}
{2,4,8}
The union of sets A and B is {1, 2, 3, 4, 5, 6, 7, 8}.
The union of two sets A and B is the set of all elements that are in A, or B, or both. In this case, the elements in set A are {1, 2, 3, 4, 5} and the elements in set B are {5, 6, 7, 8}.
To find the union of these sets, we simply combine all the elements from both sets but remove any duplicates.
Therefore, the answer that shows the union of sets A and B is {1, 2, 3, 4, 5, 6, 7, 8}, since it contains all the elements from both sets without any duplicates.
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Aurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations in the fastest time possible. To prepare for the event, she is practicing and keeping track of her time to complete each station.
The x-coordinate is the station number, and the y-coordinate is the time in minutes since the start of the race that she completed the task.
(1, 2), (2, 4), (3, 8), (4, 16)
Part A: Is this data modeling a linear function or an exponential function? Explain your answer.
Part B: Write a function to represent the data. Show your work.
Part C: Determine the average rate of change between station 2 and station 4. Show your work.
Answer:
She will need a time of 1024 units to complete the 10th station.
Step-by-step explanation:
A. As the quotient between consecutive terms is the same, the data is a geometric sequence.
B. The recursive formula is:
C. She will need a time of 1024 units to complete the 10th station.
In a sequence, if the difference between consecutive terms is the same, the sequence is arithmetic.
If the quotient between consecutive terms is the same, the sequence is geometric.
Item a:
When x increases by 1, y is multiplied by 2, hence, as the quotient between consecutive terms is the same, the data is a geometric sequence.
Pls help with this ;w;
Answer:
79-83= 2
84-88 =4
89-93= 5
94-98=2
Step-by-step explanation:
put in order then you can just count them
Helppp Its timed anyhelp??
Can a Spanish speaker re-check my sentences. ( do they make sense in the correct form , p and I)
Answer:
They're all right! Great Job! (Muy Bien)
Step-by-step explanation:
Answer: ellos si or yes they do
The points (9,2) and (8,h) fall on a line with a slope of 10. What is the value of h?
h=
Answer:
The points (9,2) and (8,h) fall on a line with a slope of 10. What is the value of h?
h= -8Answer:
\(h=-8\)
Step-by-step explanation:
\(Slope=\frac{y_2-y_1}{x_2-x_1}\)
\(10=\frac{h-2}{8-9}\)
\(10=\frac{h-2}{-1}\)
\(-10=h-2\)
\(-8=h\)
A line slope is1 and its Y-intercept is -8. what is the equation in slope Internet form?
Step-by-step explanation:
the slope-intercept form is
y = ax + b
with "a" being the slope, and "b" being the y-intercept (the y- value when x = 0).
so, we have
y = x - 8
A radioactive element has a half-life of 34 years. How long will it take for 21% of a sample to remain after decay begins? Round your answer to the nearest year.
The number of years for 21% to remain is 78years
What is half life?The time required for half of the original population of radioactive atoms to decay is called the half-life.
half life = 0.693/decay constant
decay constant = 0.693/34
= 0.02
21% of N(o) = 21N(o)/100 = N(y)
from the formula
N(t) = Noe^-kt
21N(o)/100 = Noe^-kt
21N(o)=100 Noe^-kt
divide bother sides by N(o)
21 = 100e^-kt
e^-kt = 21/100
e^-kt = 0.21
-0.02 t= ln0.21
-0.02 t= -1.56t
t = 1.56/0.02
t = 78years
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Identify the inequality that represents the graph. Please help!
Answer:
B.
Step-by-step explanation:
Since we have a dotted line, our inequality must be either < or >, so A and D are out. We are left with B and C. Since our line is positive, our answer must be B and not C.
Alternatively, you can graph each equation and choose the best answer that matches the graph.
The midpoint of AB is M (5, 1). If the coordinates of A are (3,6), what are
the coordinates of B?
Which relation diagram represents a function?
Answer:
It is going to be the first one on the top left.
Step-by-step explanation:
the rule for something to be a function is every input must have exactly one output. now that does not mean that two different inputs cannot have the same output. but on a vertical line test every other one would be wrong.
A relation will be a function if for every single input there is only one output thus option (A) is correct.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
A function can be regarded as a computer, which is helpful.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
As per the given diagrams,
A relation will be a function if for every single input there is only one output.
In the second diagram for input = 5 the output is 2 and -3 so it will not a function. Similarly third and fourth will also not function.
In the first diagram for every single input there is only one output.
Hence "A relation will be a function if for every single input there is only one output".
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Please solve the picture I just send
The coordinates of point P are (5, -3.5). The equation of the circle is \((x - 5)^2 + (y + 3.5)^2 = 1.5^2\). The equation of KL is y = (-4/3)x + 22/3.
To find the coordinates of point P, we can first find the midpoint of MN, which is the center of the circle. The midpoint formula is given by:
Midpoint = ( (x1 + x2) / 2 , (y1 + y2) / 2 )
Using the coordinates of M(3,-5) and N(7,-2), we can calculate the midpoint:
Midpoint = ( (3 + 7) / 2 , (-5 + -2) / 2 ) = (5, -3.5)
Since the midpoint of MN is the center of the circle, the coordinates of P will be the same as the coordinates of the center, which are (5, -3.5).
i. To determine the equation of the circle in the form of \((x-a)^2\) + \((y-b)^2\) = \(r^2\), we can use the center and any point on the circle. We can use point N(7,-2), which lies on the circle.
The radius of the circle is half the length of PN. Therefore, the radius is given by:
Radius =\(1/2 * \sqrt((7 - 5)^2 + (-2 - (-3.5))^2) = 1.5\)
Substituting the values into the equation, we get:
\((x - 5)^2 + (y + 3.5)^2 = 1.5^2\)
ii. To determine the equation of KL in the form of y = mx + c, we can use the slope of the tangent line.
The slope of KL can be calculated as the negative reciprocal of the slope of the radius line MN. The slope of MN is given by:
m = (y2 - y1) / (x2 - x1) = (-2 - (-3.5)) / (7 - 5) = 1.5 / 2 = 0.75
The negative reciprocal of 0.75 is -4/3, which represents the slope of KL.
Using the point N(7,-2) and the slope -4/3, we can use the point-slope form of a line to find the equation of KL:
y - (-2) = (-4/3)(x - 7)
y + 2 = (-4/3)x + 28/3
y = (-4/3)x + 22/3
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Calculating the median
The following data points represent the number of attendees at each of the private dance events hosted by
Fenel Arrangements.
Sort the data from least to greatest.
49
48
33
51
38
47
42 34
Find the median number of attendees.
attendees
Repon a problems
Stuck? Watch a video or use a hint.
Answer:
Okay so!
Step-by-step explanation:
33, 34, 38, 42, 47, 47, 48, 49, 51.
The median is 47 because it turns up twice.
In basketball, the term "hang time" is the amount of time that a player is suspended in the air when
making a basket. A player's hang time is given by the equation t = 0.5Vh, where t is the time (in
seconds) and h is the height (in feet) of the jump. The second place finisher of a slam-dunk contest had a
hang time of 1 second, and the winner had a hang time of 1.2 seconds. How many feet higher did the
winner jump than the second place finisher?
Explain how you would use order of operations to evaluate the algebraic expression y+ ( x2 - 2)/2 for x = 10 and y = 3. What would the value of the simplified expression be?
The value of the given expression at the given points is 52.
What is expression?
Mathematical expressions consist of at least two numbers or variables, at least one math operation, and a sentence. It's possible to multiply, divide, add, or subtract with this mathematical operation.
An expression, also known as a mathematical expression, is a finite combination of symbols that are well-formed in accordance with context-dependent rules.
Consider, the given expression
y + (x^2 - 2)/2
We have to find the value of expression at x = 10 and y = 3
Plug x = 10 and y = 2 in the above equation.
3 + (10^2 - 2)/2
3 + (100 - 2)/2
3 + 98/2
3 + 49
52
Hence, the value of the given expression at the given points is 52.
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Given the polynomial 9x2y6 − 25x4y8, rewrite as a product of polynomials.
(9xy3 − 25x2y4)(xy3 + x2y4)
(9xy3 − 25x2y4)(xy3 − x2y4)
(3xy3 − 5x2y4)(3xy3 + 5x2y4)
(3xy3 − 5x2y4)(3xy3 − 5x2y4)
Answer:
Option 3
(3xy³ + 5x²y⁴) (3xy³ - 5x²y⁴)
Step-by-step explanation:
Factorize polynomials:
Use exponent law:
\(\boxed{\bf a^{m*n}=(a^m)^n} \ & \\\\\boxed{\bf a^m * b^m = (a*b)^m}\)
9x²y⁶ = 3²* x² * y³*² = 3² * x² * (y³)² = (3xy³)²
25x⁴y⁸ = 5² * x²*² * y⁴*² = 5² * (x²)² * (y⁴)² = (5x²y⁴)²
Now use the identity: a² - b² = (a +b) (a -b)
Here, a = 3xy³ & b = 5x²y⁴
9x²y⁶ - 25x⁴y⁸ = 3²x²(y³)² - 5²(x²)² (y⁴)²
= (3xy³)² - (5x²y⁴)²
= (3xy³ + 5x²y⁴) (3xy³ - 5x²y⁴)
What is 2.08 • 107 written in standard notation?
Answer:
D.
Step-by-step explanation:
20,800,000 it matches more
Kayla thinks that the slope of a vertical line is undefined, while Joshua
argues that the slope of a vertical line is zero. Who is correct?
a. Kayla b. Joshua
Answer:
Kayla
Step-by-step explanation:
Vertical lines are always undefined because if your answer has to be divided by zero, the answer is an undefined operation.
Horizontal lines always have the slope of zero!
The slope of a vertical line is undefined.
Kayal is correct.
The rate of change in the table is -6.
The slope of the graph is 3/2.
What is a slope?The slope of a is the change in the y coordinate with respect to the change in the x coordinate.
We have,
A vertical line means there is no change in the x-coordinate.
i.e slope = change in y-coordinates / change in x-coordinate
slope = change in y-coordinate / 0
slope = undefined
The slope of a vertical line is undefined.
Now,
From the given table we see that there is a change of 1 for the x-values and a change of -6 in the y-values so,
Rate of change in the table:
= change in y values/change in the x values
= -6 / 1
= -6
Now,
Take any two points on the graph such as:
(a, b) = (4, 6) and (c, d) = (-4, -6)
The slope of the graph:
= (d - b) / (c - a)
= -6 - 6 / -4 - 4
= -12 / -8
= 3 / 2
Thus,
The slope of a vertical line is undefined.
Kayal is correct.
The rate of change in the table is -6.
The slope of the graph is 3/2.
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explicit form of x^2 - y^2 = 25
Answer: x - y = 5
Step-by-step explanation: since it’s squared you do inverse operation and square root of 25 is five and square root of x squared and why squared is x
Complete the explanation of whether the graph represents a proportional or a nonproportior relationship. 5 5 0 5 The graph represents a nonproportional LORER relationship
We are asked to determine if the graph of a line that doesn't go through the origin (0,0) is representing a proportion.
We know that a direct proportion will relate y and x values via an equation of the form:
y = k * x (where "k" is called the constant of proportionality)
another very important thing to notice is that a proportion of that shape"
y = k x does go through the point (0, 0) because if x = 0, y becomes automatically zero as well.
The line represented on that graph doesn't go through (0,0), ad although we see some clear connection in between the points (forming a line), the relationship is NOT that of a proportion. because of this very issue.
Short answer: this is NOT representing a proportion.
Select "nonproportional" o
How can you check if a line belongs to a plane (Cartesian equation of the line and the equation of the plane is given)?