Answer:
1 is a function
2 and 3 is not
Step-by-step explanation:
the first one doesn't have anything repeating but 2 and 3 both do
Answer:
1. Yes, it's a function.
2. No, it's not a function.
3. No, it's not a function.
Step-by-step explanation:
A function is a relation in which each element of the domain (input) corresponds with exactly one element of the range (output).
Hope this helps.
The MD has placed an order for 15mg of albuterol and 0.5mg of atrovent to be given over one hour. The nebulizer you use has an output of 10ml oer hour when running at 4lmp. How much saline would you need to add to your medication to make it last the full hour?
The volume of the medication required, we subtract it from the nebulizer output to find the amount of saline needed.
To determine the amount of saline needed to make the medication last the full hour, we need to calculate the total volume of medication required and subtract it from the volume delivered by the nebulizer.
Given:
- Albuterol dose: 15 mg
- Atrovent dose: 0.5 mg
- Nebulizer output: 10 mL per hour
- Nebulizer flow rate: 4 LPM (liters per minute)
First, we need to convert the nebulizer flow rate to mL per hour:
4 LPM * 60 min = 240 mL per hour
Next, we calculate the total volume of medication required by adding the doses of albuterol and Atrovent:
Total medication volume = 15 mg + 0.5 mg
Now, we need to convert the total medication volume from milligrams to milliliters. To do this, we need to know the concentration of the medication (mg/mL) or the volume of the medication that corresponds to the given dose. Without this information, we cannot convert the dose to volume accurately.
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The distance to your cousin's house is 156 miles, and the distance to Dallas is 936 miles. If it took 3 hours to drive to your cousin's house, how long would it take to drive to Dallas?
Answer:
18 hours
Step-by-step explanation:
Calculation to determine how long would it take to drive to Dallas
First step is to calculate the Miles per hour, mph
Using this formula
Miles per hour, mph = Miles/hour
Let plug in the formula
Miles per hour=156 miles/3 hours
Miles per hour= 52 mph
Now let determine how long would it take to drive to Dallas
Using this formula
Distance overtime=Distance per miles/Miles per hour
Let plug in the formula
Distance overtime=936 miles/52 mph
Distance overtime= 18 hours
Therefore how long would it take to drive to Dallas will be 18 hours
the u.s. department of transportation recently reported that 81.5% of u.s. airline flights arrived on time. find the probability that among 12 randomly selected flights exactly 10 arrive on time.
The probability that among 12 randomly selected flights, exactly 10 arrive on time is 0.1667
How do we calculate the probability?The probability that, among 12 randomly selected flights, exactly 10 arrive on time is 0.1667. This is calculated by using the binomial probability formula:
\(P(x) = nCx (p^x) (1-p)^{(n-x)}\)
Where:
n = 12 (number of flights)x = 10 (number of flights arriving on time)p = 0.815 (probability of one flight arriving on time)\(P(x) = 12C10 (0.815^{10}) (0.185)^2 = 0.1667\)
The probability that among 12 randomly selected flights, exactly 10 arrive on time is 0.1667
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Determine whether the following statement is always, sometimes, or never true. Explain your reasoning.
Every complex number has both a real part and an imaginary part.
The statement "Every complex number has both a real part and an imaginary part" is always true.
Every complex number is defined as a number of the form "a + bi," where "a" represents the real part and "bi" represents the imaginary part.
The real part "a" is a real number, and the imaginary part "bi" is a multiple of the imaginary unit "i," where "i" is defined as the square root of -1.
Even if a complex number has a zero imaginary part, it is still considered to have both a real and an imaginary part.
In that case, "a" represents the real part, and the imaginary part "bi" becomes zero.
For example, the complex number 3 + 0i is a real number (3) and can be represented as having a real part of 3 and an imaginary part of 0i.
In conclusion, every complex number by definition consists of both a real and an imaginary part, making the statement "Every complex number has both a real part and an imaginary part" always true.
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Item 2
Write the word sentence as an inequality.
A number y minus 12 is no more than −32.
Answer:
i believe its y - 12 < -32
Step-by-step explanation:
you dont know what y - 12 is, so thats the first part. then, it says that is NO MORE than -32 meaning y - 12 is less.
a box with a square base and open top must have a volume of 70304 c m 3 cm3 . we wish to find the dimensions of the box that minimize the amount of material used. first, find a formula for the surface area of the box in terms of only x x , the length of one side of the square base. [hint: use the volume formula to express the height of the box in terms of x x .] simplify your formula as much as possible.
The box should have base 52 cm by 52 cm and height 26 cm.
What is volume?
A three-dimensional space's occupied volume is measured. It is frequently expressed as a numerical value using SI-derived units, other imperial units, or US customary units. Volume definition and length definition are connected.
The Volume of a box with a square base x by x cm and height h cm is
\(V = x^2h\)
Since the surface area directly affects the amount of material used, we can reduce the amount of material by reducing the surface area.
The surface area of the box described is \(A = x^2 + 4xh\)
We need A as a function of x alone, so we'll use the fact that
\(V = x^2h= 70304 cm^3\)
⇒ \(h = \frac{70304}{x^2}\)
So, the area becomes,
\(A = x^2+4x(\frac{70304}{x^2})\\ A = x^2 + \frac{281216}{x}\)
We want to minimize A, so
\(A' = 2x - \frac{281216}{x^2} =0\\\frac{2x^3-281216}{x^2}=0\\ {2x^3-281216} = 0\\x^3 - 140608=0\\x^3 = 140608\\x = 52\)
The second derivative test verifies that A has a minimum at this critical number:
\(A'' = 2+\frac{562432}{x^3}\) which is positive at x = 52.
Now,
\(h = \frac{70304}{x^2}= \frac{70304}{(52)^2}=26\)
Hence, The box should have base 52 cm by 52 cm and height 26 cm.
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Help me please that would help me a lot
Answer:
261.75
Step-by-step explanation:
volume= Length x width x height
hence
8.5 x 5 x 5.1
all are in inches so your answer will be in inches :)
angles of a quadrilateral are y,2y,3y+20 and 4y+30 . find each angle if the sum of the angles of a quadrilateral is 360°
Answer:
31° , 62° , 113° , 154°
Step-by-step explanation:
sum the 4 angles and equate to 360
y + 2y + 3y + 20 + 4y + 30 = 360 , that is
10y + 50 = 360 ( subtract 50 from both sides )
10y = 310 ( divide both sides by 10 )
y = 31
2y = 2(31) = 62
3y + 20 = 3(31) + 20 = 93 + 20 = 113
4y + 30 = 4(31) + 30 = 124 + 30 = 154
the 4 angles are 31° , 62° , 113° , 154°
The cost to rent a moving van is $23 plus as a additional $7 per hour. For $37, what is the maximum amount of time that a moving van can be rented for?
Given:
Fixed cost to rent a moving van = $23
Additional cost = $7 per hour.
To find:
For $37, the maximum amount of time that a moving van can be rented for.
Solution:
Let the moving van be rented of t hours.
Total cost = Fixed cost + Additional cost
\(\text{Total cost}=23+7t\)
For $37, the total cost should be less than 37.
\(23+7t\leq 37\)
\(7t\leq 37-23\)
\(7t\leq 14\)
Divide both sides by 2.
\(t\leq 2\)
Since maximum value of t is 2, therefore the moving van can be rented for maximum 2 hours.
10L is repacked into 6DL bottles. how many bottles are filled ??
Answer:
16
Step-by-step explanation:
1L=10DL
10L=100DL
100DL÷6DL=16.67
I would really appreciate some help with identifying the language needed to solve this in a program like STATA. I need to learn how to write in a enonometrics related program in order to solve problems based on data from the book's website. thank you
http://wps.aw.com/aw_stock_ie_3/178/45691/11696965.cw/index.html
Additional Empirical Exercise 4.3
The data file CollegeDistance contains data from a random sample of high school seniors interviewed in 1980 and re-interviewed in 1986. In this exercise, you will use these data to investigate the relationship between the number of completed years of education for young adults and the distance from each student’s high school to the nearest four-year college. (Proximity to college lowers the cost of education, so that students who live closer to a four-year college should, on average, complete more years of higher education.)
A detailed description is given in College Distance_Description, also available on the Web site.1
a. Run a regression of years of completed education (ED) on distance to the nearest college (Dist), where Dist is measured in tens of miles. (For example, Dist = 2 means that the distance is 20 miles.) What is the estimated intercept? What is the estimated slope? Use the estimated regression to answer this question: How does the average value of years of completed schooling change when colleges are built close to where students go to high school?
b. Bob’s high school was 20 miles from the nearest college. Predict Bob’s years of completed education using the estimated regression. How would the prediction change if Bob lived 10 miles from the nearest college?
c. Does distance to college explain a large fraction of the variance in educational attainment across individuals? Explain.
d. What is the value of the standard error of the regression? What are the units for the standard error (meters, grams, years, dollars, cents, or something else)?
The given empirical exercise aims to investigate the relationship between the number of completed years of education and the distance from high schools to the nearest four-year college. To address this, the STATA programming language can be used.
Running a regression of completed education (ED) on distance to the nearest college (Dist) provides insights into this relationship. The estimated intercept represents the average number of completed years of schooling when the distance to the nearest college is zero, while the estimated slope indicates the average change in completed education associated with a one-unit increase in distance. This allows us to understand the effect of college proximity on average educational attainment.
By predicting Bob's completed education using the estimated regression, we can assess the impact of distance on his educational attainment. Altering the distance value in the prediction allows us to observe how the regression equation affects the predicted education level for Bob.
The R-squared value measures the proportion of variance in educational attainment explained by distance to college. A higher R-squared value suggests that distance to college explains a larger fraction of the differences in educational attainment among individuals.The standard error of the regression, expressed in years, represents the average deviation between observed and predicted years of completed education. It provides information about the precision of the regression estimates.
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y=5/16(x - 1)(x - 9)
Answer:
y=5/16x+-45/16
Step-by-step explanation:
The formula for the area of a triangle is bh=A. Which of the following is not a possible first step to
rearrange this formula to find the base of the triangle?
Answer:
h = A ÷ b
Step-by-step explanation:
The base is to be the subject of formula not height so dividing through the equation by b to give h = A ÷ B is not a possible first step
The area of the right triangle shown is 24 square feet.
Which equations can be used to find the lengths of the legs of the triangle? Select three options.
0.5(x)(x + 2) = 24
x(x + 2) = 24
x2 + 2x – 24 = 0
x2 + 2x – 48 = 0
x2 + (x + 2)2 = 100
The equation for the length of the legs is:
0.5*(x + 2)*x = 24
Which equation can be used to find the area?Remember that the area of a right triangle is equal to the product between the lengths of the legs over 2.
Then, if here the area is 24ft.
And the legs measure x and (x + 2), then the area equation will be:
x*(x + 2)/2 = 24
We can rewrite the 1/2 as 0.5, so we will get.
0.5*(x + 2)*x = 24
That is the equation on the first option.
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PLS HELP ME ASAP PLS RN
I'm not sure if this is correct but 9560 (rectangle surface area) + 900 (triangle surface area) =10460...
DON'T TRUST ME ON THIS ONE CHECK IT YOURSELF BUT IM PRAYING FOR YOU
Answer: 21120
Step-by-step explanation:
Area for the rectangluar prism
A(Rect)= LA+2B
where LA,Lateral area = Ph P,Perimeter of base= 30+120+30+120 = 300
h, height =20
LA=300(20)=6000
B,area of base=(30)(120)=3600
A(rect)=LA+2B=6000+2(3600)
=13200
Area for triangular prism, turn on side so triangle is base(columned)
A(triangle) = LA+2B
LA= Ph Perimeter of triangle = 17+17+30=64 h=120
LA=(64)(120)=7680
B, the base is the triangle=1/2 bh where b =30 h=8
B=1/2 (30)(8)
=120
A(triangle)=7680+2(120) =7920
Add the 2 areas
A(total)=13200+7920=21120
Write the slope intercept form of the equation through the given point with the given slope.
through (2,2), slope = 3
Answer:
y = 3x - 4
Step-by-step explanation:
With the slope and a point, I can make an incomplete slope-intercept equation and solve for the y-intercept.
\(y=3x+b\\\\2=3(2)+b\\\\2=6+b\\\\2-6=6-6+b\\\\-4=b\)
The equation is:
\(y=3x-4\)
Hope this helps!
In the statement 1 × 8 = 8 × 1 how would you describe the 1?
Please help I’ll mark brainliest
Answer:
y= 2, x= -1 (-1, 2)
Step-by-step explanation:
y= x + 3
y= -x+1
substitute y= -x+1
-x + 1 = x + 3
isolate x
-x + 1 = x + 3
x + 1 - x = x + 3 - x
After isolating x you'll get x = -1
for y= - x + 1
y= - (-1) + 1
simplify y = 2
solution:
y= 2, x= -1 (-1, 2)
Write the equation of the line graphed below in the form y = mx + b
Answer:
y= -1/4x + 2
Step-by-step explanation:
so basicly find the slope first which is "m"
to do that do rise/run or do y2-y1/x2-x1
rise over un in this case is -1/4
slope is negative so its -1/4 = m
that find y intercept which is "b"
in this case its 2
then put it in formula
y=mx+b
y= -1/4x + 2
Which student wrote an equation with a solution of x = -8
Jenna: -3 ( x - 9 ) = -3
Archer: 4 ( 2x - 16 ) = 16
both
neither
jenna
archer
Answer:
Neither
Step-by-step explanation:
Both equations are x=10
Writing Equations Parallel and Perpendicular Lines.
1. Find an equation of the line which passes through the point
(4,3), parallel x=0
The equation of the line parallel to x = 0 and passing through the point (4,3) is x = 4. This equation represents a vertical line passing through the point (4,3), which is parallel to the y-axis and has a constant x-coordinate of 4.
The equation of a line parallel to the y-axis (vertical line) is of the form x = c, where c is a constant. In this case, we are given that the line is parallel to x = 0, which is the y-axis.
Since the line is parallel to the y-axis, it means that the x-coordinate of every point on the line remains constant. We are also given a point (4,3) through which the line passes.
Therefore, the equation of the line parallel to x = 0 and passing through the point (4,3) is x = 4. This equation represents a vertical line passing through the point (4,3), which is parallel to the y-axis and has a constant x-coordinate of 4.
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Pls help me and thank you!
Answer:
Substitute your answer for Step 1 into the second equation to solve for Z.
A survey of 1000 adults in the US conducted in March 2011 asked "Do you favor or oppose 'sin taxes' on soda and junk food? The proportion in favor of taxing these foods was 32 %.
(a) Find a 90% confidence interval for the proportion of US adults favoring taxes on soda and junk food.
(b) What is the margin of error?
(c) If we want a margin of error of only 1% (with 90% confidence), what sample size is needed?
(a) A 90% confidence interval for the proportion of US adults favoring taxes on soda and junk food is (0.293, 0.347).
(b) The margin of error is 2.7%.
(c) To achieve a 1% margin of error with 90% confidence, a sample size of 6,811 is needed.
(a) To find the 90% confidence interval, use the formula CI = p ± Z * √(p(1-p)/n), where p is the proportion, Z is the Z-score for 90% confidence (1.645), and n is the sample size.
p = 0.32, n = 1000
CI = 0.32 ± 1.645 * √(0.32(1-0.32)/1000) = (0.293, 0.347)
(b) The margin of error is half the width of the confidence interval.
Margin of error = (0.347 - 0.293) / 2 = 0.027 or 2.7%.
(c) To find the needed sample size for a 1% margin of error, use the formula n = (Z²* p * (1-p)) / E², where E is the desired margin of error (0.01).
n = (1.645² * 0.32 * (1-0.32)) / 0.01² = 6810.8, rounding up to 6,811.
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Below are two parallel lines with a third line intersecting them.
Answer:
The line intersecting is a transversal and x is 44 degrees.
Hope it helps!!!
On average, a squirrel lives to be 6.5 years old. The lifespan of a squirrel may
vary by as much as 1.5 years. What is the range of ages that a squirrel lives?
Answer:
5-8
Step-by-step explanation:
6.5-1.5 = 5
6.5+1.5= 8
a. find the probability that there will be no accidents during the month at the factory. b. find the probability that there will be 4 or more accidents during the month at the factory. c. given that the factory had at least one accident during the month, find the probability that the factory had 4 or more accidents during the month.
To find the probability for no accidents use the formula P(no accidents) = (1-p)^n, To find the probability that there will be 4 or more accidents use the formula P(4 or more accidents) = 1 - P(0, 1, 2, 3 accidents), and at least one accident during the month, t - use the formula P(4 or more accidents) = 1 - P(0, 1, 2, 3 accidents).
a. To find the probability that there will be no accidents during the month at the factory, use the formula P(no accidents) = (1-p)^n, where p is the probability of an accident occurring and n is the number of trials (in this case, the number of days in the month).
b. To find the probability that there will be 4 or more accidents during the month at the factory, use the formula P(4 or more accidents) = 1 - P(0, 1, 2, 3 accidents), where P(0, 1, 2, 3 accidents) is the probability of 0, 1, 2, or 3 accidents occurring during the month.
c. Given that the factory had at least one accident during the month, the probability that the factory had 4 or more accidents during the month is the same as in part b - use the formula P(4 or more accidents) = 1 - P(0, 1, 2, 3 accidents).
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Given f(x) and g(x) = k•f(x) use the graph to determine the value of k.
Answer:
Your going to have to add information
Step-by-step explanation:
As in the picture of the graph
Answer:
option C
Step-by-step explanation:
This is about the interpretation of the graph
From the graph, we can see the 2 lines representing function f(x) and function g(x).
Now for us to find the value of x in g(x) = k⋅f(x), we need to get a mutual x-coordinate where we can easily read their respective y-coordinate values.
We see that the best point for that is where x = -3.
For f(x), when x = -3, y = 1
For g(x), when x = -3, y = -3
we can rewrite them as;
x = -3, f(-3) = 1 and x = -3, g(-3) = -3
Let us plug in the relevant values into g(x) = k⋅f(x) to get;
-3 = k(1)
Thus; k = -1/3
i hope it helps you
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.04/70.8deion saves 15% of his paycheck every month. last month he saved $219. how much was his paycheck? use p for your variable.
If deion saves 15% of his paycheck every month. last month he saved $219. then his paycheckwould have been $1460
deion saves 15% of his paycheck every month. last month he saved $219. how much was his paycheck
Let his paycheck be p
Then 15 % of p is equal to 219
(15/100 ) p = 219
p = 219 (100/15)
p = 1460
Therefore, if deion saves 15% of his paycheck every month. last month he saved $219. then his paycheck would have been $1460
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100 POINTS AND BRAINLIEST!! PRE CALC!
The trigonometric relation cos (π/3 + x) + cos (π/3 - x) is equivalent to:
a. cos 2x
b. cos x
c. sin x
d. 1/2 cos x
Please explain your answer :)
Answer:
b
Step-by-step explanation:
use cos(r + s ) = cosrcoss - sinrsins to expand.
cos pi/3 cosx - sin pi/3 sinx + cos pi/3 cosx + sin pi/3 sinx
the two in bold cancel out.
cospi/3 cosx + cospi/3 cosx
pi = 180° in trigonometry.
cos 180/3 cosx + cos 180/3 cosx
1/2 cosx + 1/2 cosx
= cos x
Hence
cos(π/3+x)+cos(π/3-x)2cosπ/3(cosx)2(1/2)(cosx)cosx142857/500000 simplified
Using your own examples, explain why all statements are sentences but not all sentences are statements. Clearly indicate which type of non-statement you have used in each case. (Your response should be between 500 and 600 words).
Answer:
0.285714 -> 0.29
Step-by-step explanation: