Step-by-step explanation:
the domain is the interval or set of the valid values of x.
the range is the interval or set of the valid values of y.
the domain here is 0, 1 and 2.
to find the range we just have to try all 3 values of x and check the results :
x = 0
y = 0 + 1 = 1
x = 1
y = 1 + 1 = 2
x = 2
y = 2 + 1 = 3
so, the range is 1, 2, 3
The healthcare provider prescribes an IV solution of ampicillin 1 gram in 50 mL of DşW at 25 drops/minute. The nurse uses an infusion set that delivers 15 gtt/mL and starts the infusion at 1900. Using the 24-hour clock, what time should the nurse anticipate the infusion to be completed? (Enter numeric value only.)
The infusion will be completed at 19:31
The medicine that the nurse is giving the patient is 1 gram of ampicillin diluted in 50 mL of dextrose water.
This means 50 mL + 1 mL = 51 mL. 1 gram of ampicillin = 1 mL considering all water-based substances have a density of 1gm/mL.
Now, the set delivers 15 ggt or drops per mililiter. Let's calculate the total drops in the 51 mL.
51mL x 15ggt =765 drops
Finally, we know the medicine is given at a rate of 25 drops per minute. Let's calculate the time:
765 drops / 25 drops per minute = 30.6 minutesThis means the medicine it will take 30.6 minutes for the infusion to be completed and therefore the infusion will be completed at 19:31 (19:00 + 30.6 minutes = 19:30.6 or 19:31).
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simplify : (81/16)^-1/4 = a/b
Answer:
a/b = 2/3
Step-by-step explanation:
(81/16)^(-1/4) = (16/81)^1/4 = ((2^4)/(3^4))^(1/4) = (2^(4/4))/(3^(4/4)) = 2/3
_____
The applicable rules of exponents are ...
(a^b)^c = a^(bc)
a^-b = 1/(a^b)
And the reciprocal of a fraction is ...
1/(a/b) = b/a
Matthew wants to estimate the mean height of students attending his college. He records the heights of 100 randomly selected students attending the college. What is the population?
Select the correct answer below:
the mean height of the randomly selected students
the mean height of all students attending the college
the 100 randomly selected students
all the students attending the college
the heights of the randomly selected students
The correct option that shows the population of the research carried out by Matthew is;
Option D; all the students attending the college
We are told that Matthew wants to estimate the mean height of students attending his college.Now, let us say the total number of students in his college is x. If he decides to select 100 students randomly to record their height, it means this 100 students is a sample out of the total number of students which is x that is the population.
In conclusion, we can say that the population of this research by Matthew is the total number of students that attend the college.
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Laura invests $100 in an account that continuously compounds. In 50 years, her money will triple. What is the interest rate for this account
Answer:
its something close 5%
Step-by-step explanation:
I NEED HELPP PLZZ!!!
Answer:
D.
Step-by-step explanation:
Find the equation of the line that has a y-intercept of -1 and a slope of 1/2.
y = 1/2 x - 1
y = 1x - 1/2
y = -1/2 x + 1
y = -x + 1/2
Answer:
y= 1/2 x -1
Step-by-step explanation:
y intercept is the number on its own = -1
slope is the number besides X which is 1/2 in this case
please that can answer this will get 50 points and I'll mark BRAINLIEST.
plot the graph of y= 2cos2x-1 ranging from 0°<x<180°. Use 2cm rep 30° on x axis and 2cm rep 1 unit on y axis. (a) On the same axis plot the graph of y=(1/180)(x-360 ) (b) use the graph to solve the equation 2cos2x-(x/180)+1=0. (c) Find the values of of x for which for which 2cos2x+(1/2)=0. (please a step by step explanation)
y=2cos^2x-1
Graph attachedThe bus covers 12 km in four hours. How many minutes would it take the
bus to cover 10 km?
Answer:
200
Step-by-step explanation:
12km in 240min = 0.05 km per minute
10÷0.05 =200
classify the given triangles whose sides are indicated on them
pls answer
Answer:
https://brainly.com/question/23375096?referrer=searchResults
Step-by-step explanation:
1. In a science lab, you collect the following sets of data. Which of the
four data sets are linear functions? If linear, determine the slope.
Answer:
data set: a ; slope: 1/2
Step-by-step explanation:
If an equation is linear, then the first common differences are all the same.
In table a:
17-12 = 5
22-17 = 5
27-22 = 5
etc.
Equation:
m represents slope
y = mx + b
y = mx + 12 (y-intercept is 12)
17 = 10m + 12
10m = 17-12
10m = 5
m = 10/5 = 1/2
easy question................
Answer:
3.80
Step-by-step explanation:
there are ten points starting after 3 on the line, count them
Answer:
3.80
Step-by-step explanation:
NO LINKS!!!!!
1. When a ball was kicked off the ground it landed 20 feet horizontally and reached a maximum height of 6 feet. Create a sketch of the ball's flight and find an equation that describes it.
2. Find the equation of a square foot function with a vertex at (-5, 4) and that passes through the (20, 29).
3. Write the following in graphing form: y = x^2 - 18x + 5
Equation:
Vertex:
x-intercepts:
y-int?
9514 1404 393
Answer:
y = 0.06x(20 -x)y = 5√(x+5) +4y = (x -9)^2 -76; (9, -76); 9±√76; 5Step-by-step explanation:
1.If we assume the ball was kicked from the origin and that it follows a parabolic curve, the equation can be written ...
y = -kx(x -20)
for some value of k that makes the maximum be 6. The maximum will occur at the value of x that is halfway between the points where the ball is on the ground, so at x=10. Then our value of k is such that ...
6 = k(10)(20 -10) = 100k
k = 6/100 = 0.06
The equation describing the ball's flight is ...
y = 0.06x(20 -x)
A graph is attached.
__
2.The translated square root function will have a vertical multiplier k that will make it pass through the given point. The parent function f(x) = √x can be translated so its vertex moves from (0, 0) to (-5, 4) by ...
g(x) = 4 +f(x+5)
Applying the scale factor k gives ...
g(x) = k·√(x +5) +4
We want g(20) = 29, so ...
29 = k·√(20 +5) +4
25 = 5k . . . . subtract 4
5 = k . . . . . . divide by 5
The equation of the function is ...
y = 5√(x +5) +4
__
3.We assume your "graphing form" is "vertex form", as that form is generally conducive to graphing.
We can complete the square by adding and subtracting the square of half the x-coefficient:
y = x^2 -18x +9^2 +5 -9^2
y = (x -9)^2 -76 . . . . . equation
vertex: (9, -76)
x-intercepts: 9±√76 ≈ {0.2822, 17.1778}
y-intercept: 5 . . . . (the constant in the given equation)
_____
Additional comment
When the quadratic is written in vertex form ...
y = a(x -h)^2 +k
the x-intercepts are h±√(-k/a).
Help please for 50 points
Answer:
y + [2] = [3] (x+1)
Step-by-step explanation:
DID ANYONE HEAR ABOUT THE NEW PLANET IN THE SOLAR SYSTEM!!!!!!!!!!
ITS CALLED PLANET X or the 9TH PLANET!!! GO CHECK IT OUT!!!!!!!!!
Answer:
the slope of tangent equals (y2 - y1) / (x2 - x1)
let the first point (x1 , y1 ) equals ( -1 , -2 )
and the second point (x2 , y2 ) equals (3 ,10)
so the slope equal (10+2)/(3+1) = 3
the equation is y-y1 =m(x-x1)
the answer is y+2=3(x+1)
Define pictograph.
write short answer !..
Answer:
a pictorial symbol for a word or phrase. Pictographs were used as the earliest known form of writing, examples having been discovered in Egypt and Mesopotamia from before 3000 BC.
Help help help help please
Answer:
b
Step-by-step explanation:
b is the right answer
it is
sure
HELPPP LAST ATTEMPT!!
Answer:
(-2, -1)
Step-by-step explanation:
On a standard coordinate plane:
left is negative xright is positive xup is positive ydown is negative yThat said, if you translate the point (-1, -5) left 1 and up 4, you do this:
[tex]x - 1=-1-1=-2\\y+4=-5+4=-1\\(-2,-1)[/tex]
That is shown on the attached image
Given that the market basket for toddler toys was $790.85 last year and $803.5 this year, what was the inflation rate? (Round your answer to the nearest hundredth of a percent.)
Answer:
Your answer is 187.35
Step-by-step explanation:
If you round to the nearest hundredth of a percent it will stay the same
Hope this helps you! c:
Answer:
On knewton May 15 2022- 1.60%
Step-by-step explanation:
can someone please please help please know watchu are doing pleaseeee….. please help me.
Answer:
Side-Side-Side SSS
Step-by-step explanation:
i could be wrong.. but thats the rule that proves triangles are congruent
Find the roots of each equation by factoring
Answer:
x=2
Step-by-step explanation:
Solution is attached
You can plug 2 back into the equation to verify :)
make x the subject of the formula y= 2x +5
Answer:
x= (y-5)/2
Step-by-step explanation:
Isolate the x variable.
y= 2x +5
Subtract 5 from both sides.
y-5=2x
Divide both sides by 2.
(y-5)/2= x
if the pool has a constant depth of 1.5 meters, what is the volume of the pool? Rounded to the nearest tenth
Answer:
8
Step-by-step explanation:
because if you round the 1.5 it = 2 and the the pool would be the same on all sides so it would be 2*2*2 to get depth time height times length to get your total of 8. sorry if i get this wrong, just trying to help
Amy bought at shirt for 25 dollars sue bought the same shirt a week later for 10 dollars less what percent of the cost did sue save by purchasing the shirt on sale
Five times the difference of a number and three is ten. Find the number
Answer:
the number is 5. explanation in the picture attached
What is the sum of the 10th square number and the 4th cube number?
Answer:
164
Step-by-step explanation:
The 10th perfect square is 100.
The 4th perfect cube is 64.
100+64=164
Using the diagram and information below to create an equation. Don't forget to show all of your work and label your answer.
Answer:
[tex]885 + 6463316133666y \times \times \times \times 9 > \div | \\ | \times \frac{?}{?} [/tex]
tet 3 -2 -1 0 1 2 3 4 5 Which symbol completes the inequality represented the graph? 1.5 Z O oa OS
Answer:
bStep-by-step explanation:
how to make a 70% into a fraction
Answer:
[tex]\frac{7}{10}[/tex]
Step-by-step explanation:
A percent is out of 100.
[tex]70\% = \frac{70}{100}=\frac{70/10}{100/10} =\boxed{\frac{7}{10}}[/tex]
I hope this helps.
Plz help I need help
x + 23 = -22
• x = -22 - 23
• x = - ( 22 + 23 )
• x = -45
x = -45 ✔️
x + 23 = -22
x = -22 - 23
x = -(22+23)
x = -45
A flag pole that is 15 feet tall casts a
shadow that is 30.9 feet long. At the same
time of day, the shadow of a nearby tree is
13.2 feet long. How tall is the tree?
Round your answer to the nearest tenth of
a foot
Answer:
6.4 feet
Step-by-step explanation:
You know that the shadow is 15/30.9 times the height of the pole, so you multiply 13.2 by 15/30.9 and get 6.4
• 5. A certain type of bacteria, given a favorable growth medium, doubles
in population every 4 hours. Given that there were approximately 100
bacteria to start with, how many bacteria will there be in a day and a
half?
Answer:
51,200
Step-by-step explanation:
a day and a half = 36 hours
36/4 = 9
There are 9 doubling periods
how many bacteria will there be in a day and a half?
100 * 2^9
100 * 512
51200
