Answer: Exponential decay model:
y
=
x
(
1
−
r
)
t
, half life of tablet is about
2
hours and after
t
=
3
hours , remaining drug on patient's system is
42.875
mg.
Step-by-step explanation: Initial drug
x
=
125
mg ; rate of decay
r
=
30
100
=
0.3
gm/hour
Exponential model:
y
=
x
(
1
−
r
)
t
=
125
(
1
−
0.3
)
t
=
125
⋅
0.7
t
Half life:
y
=
125
2
=
62.5
mg
∴
62.5
=
125
⋅
0.7
t
or
0.7
t
=
1
2
. Taking logarithm on both sides we get ,
t
log
(
0.7
)
=
log
(
0.5
)
∴
t
=
log
(
0.5
)
log
(
0.7
)
≈
1.94
(
2
d
p
)
hour
The half life of tablet is about
2
hours.
After
t
=
3
hours , remaining drug on patient's system is
y
=
125
⋅
0.7
t
=
125
⋅
0.7
3
=
42.875
mg [Ans]
Which numbers are irrational numbers?
Select each correct answer.
Answer
Well pi is an irrational number because it can't be simplified into a fraction. And from what I can see neither can the sqaure root of 10/49. So I believe it would be both of them. But if there is only one answer than i'm not sure sorry. But it also says each so maybe there is more than one answer.
Step-by-step explanation:
In how many ways can you arrange six trophies on a shelf?
Answer:
720 ways
Step-by-step explanation:
Assuming order doesn't matter, there are [tex]6!=6*5*4*3*2*1=720[/tex] ways to arrange six trophies on a shelf.
evaluate p-q if p=14 and q=13
Answer:
Value of [tex]p-q=1[/tex]
Step-by-step explanation:
We need to find [tex]p-q[/tex]
[tex]p-q=14-13\\\\=1[/tex]
[tex]\huge\boxed{\sf{Hello\:there!}}[/tex]
We are asked to evaluate p-q.
Now, if we aren't given the value of every variable, evaluating this expression is impossible. However, we do have the value of p (14) and the value of q (13)
We plug these numbers instead of the variables:
p-q
p=14
q=13
14-13
1
Hence, the value of the expression is 1.
[tex]\huge\boxed{\sf{Hope\:it\:helps.\:Please\:mark\:Brainliest.}}[/tex]
[tex]\huge\bold{Good\:luck!}}[/tex]
[tex]\huge\mathfrak{LoveLastsAllEternity}[/tex]
Which figure has reflection symmetry?
Answer:
the first option
Step-by-step explanation:
if you were to fold it in half it would be the same shape without anything poking out of the sides. one side reflects the other side
When is f(x) when x=-5
Answer:
f is equivalent to 15 and when you replace x with -5 you will have to multiply 15×(-5) and you will get -75 as an overall answer.
pls help me with my maths if you can
Please Help Question in picture
Also please dm me on in sta : yourdealerjeremi
I could use help on a few more questions
Answer:
c) line VR is parallel to line ST
You are running a concession stand at a basketball game. You are selling hot dogs and sodas. Each hot dog costs $2.25 and each soda costs $1.50. At the end of the night you made a total of $225.75. You sold a total of 126 hot dogs and sodas combined. You must report the number of hot dogs sold and the number of sodas sold. What equations did you use to solve this? How many hot dogs were sold and how many sodas were sold?
Answer:
49 hot dogs, 77 sodas
Step-by-step explanation:
2.25h + 1.5s = 225.75
h + s = 126, so s = 126 - h. Substitute that into the first equation.
2.25h + 1.5(126 - h) = 225.75
Solve for h
2.25h + 189 - 1.5h = 225.75
0.75h = 36.75
h = 49 So they sold 49 hot dogs
h + s = 126, so 49 + s = 126, s = 77
if 2-5 = -4 then x =
please answer
Answer:
1
Step-by-step explanation:
2-5=x-4
subtract the common factors
-3 = x-4
add 4 to both sides so get x by itself
1 = x
solve the equation 1 = u over 2
Answer:
u = 2, as we multiply both sides by the denominator (2).
WILL GIVE BRAINLIEST
Select the graph of the solution. Click until the correct graph appears.
| x | = 2
Answer:
It is the second graph, the one with two filled in dots, but no line.
Step-by-step explanation:
The reason it is not the first one is because it has not filled in dots, AND no line, so it's basically saying there is no answer, which is not true.
The reason the third one (the one with a line) is wrong is because, for example, x cannot be 1, because 1 ≠ 2, and if there is a line, it should be true.
Answer:
its the awnser with the 2 not the -2
Step-by-step explanation:
A music store purchases a grand
piano, wholesale, for $5,000.
They markup the retail price 65%.
What is the retail price?
Answer: 8250
Step-by-step explanation:
Answer:
8548
Step-by-step explanation:
Brainliest if correct! Please explain how this is done!
In ΔABC, ∠B is a right angle, AB = 30, and sec A = 5/3. Find the value of csc C in fraction and in decimal form.
I will mark brainliest if you are correct!
The value of csc C in fraction and in decimal form is as follows:
csc C = 5 / 3
csc C = 1.66666666667
Using trigonometric ratio,
secant A = 1 / cos A = hypotenuse / adjacent
Therefore,
sec A = 5/3
sec A = 1 / cos A
cos A = adjacent / hypotenuse
cos A = 3 / 5
A = cos⁻¹ 0.6
A = 53.1301023542
Therefore,
∠A = 53°
∠B = 90°
∠C = 180 - 143 = 37°
cosec C = 1 / sin C = hypotenuse / opposite
cosec C = 5 / 3
learn more about trigonometry here: https://brainly.com/question/25942962?referrer=searchResults
what are the zeros of the function of y=x^2-3x+2
Answer:
1 and 2
Step-by-step explanation:
Zeros of the function is where the function intersect with x-axis (or in other way the zeros of function is x value when y = 0 )
y=x^2-3x+2
(we substitute y with zero)
0 = x^2-3x+2
or in other way
x^2-3x+2 = 0
Then we factor out the function by using the grouping method
(When we should give two numbers that there sum is equal -3 and if we multiply them we get 2)
and these two numbers are -2 and -1
x^2-3x+2 = 0
*Substitute the middle term with -x-2x
x^2-x-2x+2 = 0
*factor out x , then factor out -2
x(x-1)-2(x-1) = 0
*factor out x-2
(x-2)(x-1)=0
Either
x-2 = 0
So
x = 2
Or
x-1 = 0
So
x = 1
in conclusion the zeros of this function is 1,2
An analyst surveyed the movie preferences of moviegoers of different ages. Here are the results about movie preference, collected from a random sample of 400 moviegoers.
A 4-column table with 4 rows. The columns are labeled age bracket and the rows are labeled type of movie. Column 1 has entries cartoon, action, horror, comedy. Column 2 is labeled children with entries 50, 22, 2, 24. Column 3 is labeled teens with entries 10, 45, 40, 64. Column 4 is labeled adults with entries 2, 48, 19, 74.
Suppose we randomly select one of these survey participants. Let C be the event that the participant is an adult. Let D be the event that the participant prefers comedies.
Complete the statements.
P(C ∩ D) =
P(C ∪ D) =
The probability that a randomly selected participant is an adult prefers comedies is symbolized by P(C ∩ D).
Using it's concept, it is found that the probabilities are given as follows:
P(C ∩ D) = 0.185.P(C ∪ D) = 0.5775.What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there is a total of 400 moviegoers.
From the table, 74 are adults who prefer comedies, hence:
P(C ∩ D) = 74/400 = 0.185.
2 + 48 + 19 + 74 = 143 are adults, while 24 + 64 = 88 are not adults but prefer comedies, hence the "or probability" is given by:
P(C ∪ D) = (143 + 88)/400 = 0.5775.
More can be learned about probabilities at https://brainly.com/question/14398287
Answer:
0.3575
0.405
Step-by-step explanation:
A baker has 12 pounds of almonds. She puts them in bags, so that each bag has the same weight. Clare and Tyler drew diagrams and wrote equations to show how they were thinking about 12 divideDid divide by 6
Identify the dotted lines as an angle bisector, perpendicular bisector, or a median
Answer:
perpendicular bisectorangle bisectoraltitudemedianStep-by-step explanation:
In each case, "how do you know" is answered by comparing the line to the definitions of the various types of lines.
1. perpendicular bisector -- a perpendicular segment that divides the base into two equal parts
__
2. angle bisector -- divides the vertex angle into two equal parts
__
3. altitude -- a line from the opposite vertex perpendicular to the side
__
4. median -- a line from the opposite vertex to the midpoint of the side
If a = 3.9 cm, b = 2.5 cm, c = 4.6 cm, d = 3.5 cm, and e = 1.2 cm, what is the perimeter in centimeters of the polygon? Do NOT label your answer. Use numbers ONLY.
Answer:
perimeter= 3.9+2.5+4.6+3.5+1.2= 15.7cm
A store owner discounted some silver coat racks from $625 to $405. What percentage is the discount?
Answer: 64.80% not 100% positive if i did that math right but thats what i got
Step-by-step explanation:
38.8679
Step-by-step explanation:
Need help ASAP!!!!!!
Answer:
graph b
Step-by-step explanation:
If g(x) =3-2x, find g(-1) (show work)
tim and sue share a small pizza. tim eats 2/3 o the pizza
Answer:
Sue eats 1/3 of the pizza
Step-by-step explanation:
Answer:
Sue eats 1/3 of the pizza
Step-by-step explanation:
3/3 - 2/3 = 1/3
What is the distance between -9and -2 on the number line
Answer:
7 units
Step-by-step explanation:
Calculate the distance using the absolute value function
| - 9 - (- 2) | = | - 9 + 2 | = | - 7 | = 7
or
| - 2 - (- 9) | = | - 2 + 9 | = | 7 | = 7
Set up a proportion and solve for x.
1) If I can make up one test in 30 minutes, how long will it take me to make 11 tests?
Can you please help this is due tomorrow and it’s almost Christmas break:((
30x11 is 330.
300mins
Sorry i'm a little tired, if you want ask me how i got it and show my work in the comments. Thanks u
Please help :)
Chloe is an acrobat in a local circus. Her job is to move across a tightrope from point A to point B while blindfolded! She can only move using the distances that you tell her to move in your instructions. Chloe may go past the ladder. However, if she does, make sure she turns around and goes back toward the ladder.
Use the link: Link
Your Task: Work with your partner to find different combinations of the lengths given in parts (a) through (d) below that will allow Chloe to move from point A and end at point B (the end of the tightrope). You may use each length as many times as you like. .
1. For each crossing, look for at least three different ways to get the acrobat across. *Draw a diagram on your paper that shows the solution with the least amount of steps. *For the neither 2 write a number sentence/equation.
Explanation:
We'll let you draw the diagram. Here are some possible equations. We have listed the shortest sequence first.
(a) 24 = (10 + 10 + 4) = (8 + 8 + 8) = (10 + 8 + 4 + 2)
(b) 17 = (10 + 3 + 2 + 2) = (10 + 3 + 3 + 3 - 2) = (3 + 3 + 3 + 3 + 3 + 2)
(c) 15 = (11 + 4) = (6 + 6 + 3) = (4 + 4 + 4 + 3)
(d) 27 = (19 + 8) = (19 + 12 - 4) = (19 + 12 + 4 - 8)
can you help solve this?
Answer:
Step-by-step explanation:
Help Asap I am stuck
suppose the value of an investment increases 12% per year and the investment has a current value of 33,00.00 which equation models the value of this investment after x years?
Answer:
bro pls someone hurry i need help
Step-by-step explanation:
Hurry up some one answer Which statement about the graph of a linear function is true?
A
The graph intersects the x-axis in two unique places.
B
The graph intersects the y-axis in two unique places.
C
The graph is a curved line.
D
The graph is a straight line.
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.
Which of the following
Answer:
which of the following what??
Step-by-step explanation:
..
If sixteen dried beans weigh one ounce, then how many dried beans wiring one pound
Answer:
96 dried beans will weigh one pound