Answers
Answer:
x = 3
Step-by-step explanation:
Setup a proportion
[tex]\frac{CB}{CA} =\frac{DB}{DA} \\\frac{4}{3} =\frac{x}{2.25} \\3x=9\\\frac{3x}{3} =\frac{9}{3} \\x=3[/tex]
Related Questions
Many doctors rely on the use of intravenous medication administration in order to achieve an immediate response of a particular drug's effects. The concentration, C, in mg/L, of a particular medication after being injected into a patient can be given by the function C of t is equal to the quantity negative 18 times t squared plus 54 times t end quantity over the quantity t squared plus 7 times t plus 10 end quantity comma where the time, t is hours after injection.
Part A: What is the domain of the function C(t) based on the context of the problem? Show all necessary calculations. (5 points)
Part B: Graph the function to determine the greatest concentration of the medication that a patient will have in their body. (5 points)
Answers
The domain of the function is 0 ≤ t ≤ 3 and the greatest concentration of the medication is 2mg/L
The domain of the functionThe equation of the function is given as:
[tex]C(t) = \frac{-18t^2 + 54t}{t^2 + 7t + 10}[/tex]
Time can be 0 or greater but cannot be negative.
So, the domain of the function includes t ≥ 0
Set the function to 0 to determine the maximum value of t.
[tex]\frac{-18t^2 + 54t}{t^2 + 7t + 10} = 0[/tex]
Cross multiply
[tex]-18t^2 + 54t = 0[/tex]
Factor out -18t
-18t(t - 3) = 0
Divide both sides by -18t
t - 3 = 0
Add 3 to both sides
t = 3
This means that the maximum value of t is 3
Hence, the domain of the function is 0 ≤ t ≤ 3
The greatest concentration of the medicationFrom the graph of the function (see attachment), we have the maximum value to be;
C(t) = 2
Hence, the greatest concentration of the medication is 2mg/L
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Need the correct answers to select asap! Will give brainliest for correct answers
Answers
Answer:
first 2 options and 5th option are true
Step-by-step explanation:
locate y = - 4 on the y- axis. then a horizontal line through y = - 4 intersects the curve at x = - 2 and x = 1
----------------------------------------------------------
the axis of symmetry is a vertical line through the vertex with equation
x = c ( c is the value of the x- coordinate of the vertex )
vertex = ( - [tex]\frac{1}{2}[/tex], - 6 )
equation of axis of symmetry is x = - [tex]\frac{1}{2}[/tex]
------------------------------------------------------------
the minimum value is the y- coordinate of the vertex
that is the minimum value of f(x) is - 6
------------------------------------------------------------
given a parabola in standard form
ax² + bx + c ( a ≠ 0 )
• if a > 0 then graph opens up
• if a < 0 then graph opens down
Here the graph opens up , then coefficient of f(x) is positive
-------------------------------------------------------------
the solutions to f(x) = 0 are the values of x on the x- axis where the graph crosses.
the solutions are x = 2 and x = - 3
If Sammy starts drinking his tea at 11:25 P.M. and he finishes it at 12:20 A.M., how long does it take him to drink his tea?
Answers
Answer:
55 minutes
Step-by-step explanation:
add 35 to 11:25 should equal to 12AM then add 20 to it should give you the answer of 12:20AM combining the 35 and 20 should give you 55
Answer:
55 Minutes
Step-by-step explanation:
Assuming the start time is on the previous day, the time between 11:25:00 PM and 12:20:00 AM is:
0 hour, 55 minutes, and 0 second
0.917 hour
55 minutes
3,300 seconds
Hope this helps!
Condense the expression to the logarithm of a single quantity.
I'm going to be so thankful if anyone could solve this for me please... because I can't understand any of it right now.
Answers
[tex]\dfrac 12 \log_3 x - 2\log_3 (y +8)\\ \\=\log_3 x^{\tfrac 12}- \log_3(y+8)^2~~~~~~~~~~~~~~~~~~;[\log_b m^n = n \log_b m]\\\\=\log_3 \left( \dfrac {x^{\tfrac 12}}{y+8)^2} \right)~~~~~~~~~~~~~~~~~~~~~~~~;\left[\log_b \left( \dfrac mn \right) = \log_b m - \log_b n \right][/tex]
Find f(2) if f(x)= (x +1)^2
Answers
Answer:
9
Step-by-step explanation:
substitute the x which is x= 2, so
f(2)= (2+1)^2
=(3)^2
=9
Answer:
9
Step-by-step explanation:
Leticia simplified an expression. Her work is shown below.
4.5 divided by one-fourth + 2 and one-half minus 0.75 times 8
Step 1 18 + 2 and one-half minus 0.75 times 8
Step 2 18 + 1.75 times 8
Step 3 18 + 14
Step 4 32
Where did Leticia make her first mistake?
step 1
step 2
step 3
step 4
Answers
Leticia made a mistake in her step 2. She did subtraction before multiplication.
How to simplify an expression?The expression can be simplified as follows;
4.5 ÷ 0.25 + 2.5 - 0.75 × 8
Hence, using Pemdas rule,
4.5 ÷ 0.25 + 2.5 - 0.75 × 8
18 + 2.5 - 0.75 × 8
18 + 2.5 - 6 = 14.5
Therefore, she made mistake in her step 2 because she was suppose to solve the multiplication before subtraction.
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This table represents a proportional relationship between x and y.
X
2.5
3.25
2.7
3.51
2.9
3.77
3.1
4.03
What is the constant of proportionality?
Enter your answer as a decimal in the box.
Answers
The constant of proportionality of the proportional relationship between x and y is: 1.3.
How to Find the Constant of Proportionality?The constant of proportionality, k = y/x, of a proportional relationship.
To find the constant of proportionality of the relationship between x and y, select any given pair from the table, say, (2.5, 3.25).
Constant of proportionality (k) = 3.25/2.5
Constant of proportionality (k) = 1.3
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Are you good at maths?????????????????????????
Answers
The probability that a student, chosen at random, does not study chemistry is 20/41.
What is Probability?
Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.
Probability(Event) = Favorable Outcomes/Total Outcomes = x/n
Here, Total number of student = 41
Student who does not study chemistry = 20
So, the probability = favorable outcome / total outcomes
P(not studying chemistry) = 20 / 41
Thus, The probability that a student, chosen at random, does not study chemistry is 20/41.
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Tamara found that as she increased the amount of chlorine in her pool, the amount of mold in the pool decreased. What is the correlation?
Answers
Answer:
Step-by-step explanation:
Find out the how much chlorine is in the pool .
To prove
As given
The amount of chlorine in a swimming pool varies directly with the volume of water.
The pool has 2.5 milligrams of chlorine per liter of water.
i.e
2.5 milligrams of chorine = 1 litre of water
There are 8000 gallons of water in the swimming pool.
As 1 gallons = 3.78541 litre (Approx)
Now convert 8000 gallons of water in litres.
8000 gallons = 8000 × 3.78541 litre
= 30283.28 litres
Now calculate chlorine in the pool for 30283.28 litres of waters.
As
2.5 milligrams of chlorine = 1 litre of water
2.5 × 30283.28 milligrams of chlorine = 30283.28 litre of water
75708.2 milligrams of chlorine for 30283.28 litre of water .
Answer:
Negative correlation
Step-by-step explanation:
As one value increases when the other one decreases, we can say the correlation is a negative correlation.
*URGENT 20 POINTS*
If the area of a regular 12-gon is 2,004 meters^2, what is the length of one of the sides? Please show how you figured this out as well.
Answers
Answer:
13.3787 m
Step-by-step explanation:
A = 3 × ( 2 + √3 ) × s2
If a is 2004 just do the reverse order and u get the answer
Find the difference or type
"impossible"
Answers
Answer:
hope you can understand
Which function has the greatest x-intercept?
Of(x) = 3x -9
Og(x)= x + 31
h(x) = 2* - 16
Oj(x) = -5(x - 2)²
Answers
Answer:
I think the greatest x- intercept is f(x)=3x-9
Slope of (1,-4) and (0,-5)
Answers
Answer:
Slope is 1
Step-by-step explanation:
use slope formula: m= [tex]\frac{y2-y1}{x2-x1}[/tex]
m= [tex]\frac{-5+4}{0-1}[/tex]
[tex]\frac{-1}{-1}=1[/tex]
m=1
Hope this helps!
If not, I am sorry.
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to find the slope of
[tex]\star\mathrm{(1,-4)}[/tex]
[tex]\star\mathrm{(0,-5)}[/tex].
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
Use the slope formula.Here's the slope formula:
[tex]\star\boxed{\mathrm{\cfrac{y2-y1}{x2-x1}}}[/tex]
Input the values, which are:
y2=-5
y1=-4
x2=0
x1=1
[tex]\star\mathrm{\cfrac{-5-(-4)}{0-1}}[/tex]
Simplify!
[tex]\star\mathrm{\cfrac{-5+4}{-1}}[/tex]
[tex]\star\mathrm{\cfrac{-1}{-1}}[/tex]
[tex]\star\boxed{\mathrm{1}}[/tex]
Hope it helps you out! :D
Ask in comments if any queries arise.
#StudyWithBrainly
~Just a smiley person helping fellow students :)
[tex]\bf{\overline{\underline{\overline{\underline{Maribel\:Peri}}}}[/tex]
SIMPLIFY HELP !!!!!!
Answers
Simplify (-2)² + 15 ÷ 3
Answer: 9
Hope this helps :))
P.s. Can you mark me as the brainliest? <3
3. How many solutions does the equation have?
−8x+6+20x = 2/3(18x + 9)
O No Solutions
○ Two Solutions
O One Solution
An infinite number of solutions
Answers
if a= 2x - 3 and b= 2x+5
find the value of a+b
help pleaseeee i would really appreciate
Answers
Answer:
4x+2
Step-by-step explanation:
a= 2x - 3 and b= 2x+5
a+b = 2x-3 + 2x+5
Combine like terms
a+b = 4x+2
Answer:
a + b = 4x + 2
Step-by-step explanation:
a = 2x - 3
b = 2x + 5
a + b = (2x-3) + (2x+5)
a + b = 2x + 2x - 3 + 5
a + v = 4x + 2
A larger error variance makes it difficult to estimate the partial effect of any of the independent variables on the dependent variable. a. True b. False
Answers
A larger error variance making it difficult to estimate the partial effect of any of the independent variables on the dependent variable is True.
What is Variance?This is used to measure how far a data is spread out and the effect independent variables has on the dependent ones.
When there is an error in the variance, the effect calculated is inaccurate which brings about difficulty in ascertaining it.
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Q). Express each of the following recurring decimal as a rational numbers . 1) 0.5 2) 0.13 3) 0.341
Answers
The following recurring decimal as a rational number are 1/2, 13/100 and 341 / 1000
What is rational number?A rational number is a number that is expressed as the quotient or fraction of two integers, a numerator and a non-zero denominator such as;
3/4. where,
Numerator = 3Denominator = 4Therefore,
0.5
= 5/10
= 1/2
0.13
= 13/100
0.341
= 341 / 1000
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Jill jogs 3/4 of a mile in 1/10 of an hour at this rate how fast does she run one mile.
10 minutes
6 minutes
8 minutes
Answers
Answer:
8 minutes
Step-by-step explanation:
Jill jogs 3/4 of a mile in 1/10 hour.
⇒ 3/4 of a mile takes 6 minutes
For one mile :
3/4 mile x 4/3 : 6 x 4/3 minutes1 mile : 2 x 4 minutes1 mile takes 8 minutes1 mile she can run
1/10÷3/44/3(1/10)4/302/15hour8/60hour8 mins
If f(x)=3x+5/x, what is f(a + 2)?
a. 3a + 5/a + 2
b. 3(f(a)) + 5/f(a)+2
c. 3(a+2) + 5/a+2
Answers
Answer:
Answer C is correct
Step-by-step explanation:
1. We replace x as (a + 2)
2. Then we just rewrite this function with the new value
3. Result: 3(a+2) + 5/(a+2)
11. Courtney removes a colored tile from a bag containing 12 red tiles, 10 blue tiles, and
8 yellow tiles. Without replacing the first tile, she removes a second tile from the bag.
What is the probability that both tiles that Courtney removed are blue? Identify
whether removing the second tile from the bag is an independent event of a
dependent event. Justify your response.
Answers
Answer:
whos courtney
Step-by-step explanation:
whos courtney??
Translate the shape A two squares right and one square up.What are the coordinates of the vertices of the image?
Answers
Answer:
(3, 5) (3, 2) , (5, 2)
Step-by-step explanation:
Analysis:
(1) Translate square A two squares right
(a, b) ⇒ ( a + 2, b)
{ (1, 4) {(3, 4)
{ (1, 1) ⇒ { (3, 1)
{ (3, 1) { (5, 1)
(2) ... one square up:
(a, b) ⇒ (a, b + 1)
{ (3, 4) { (3, 5)
{ (3, 1) ⇒ { (3, 2)
{ (5, 1) { (5, 2)
How do you feel about the plant
Answers
hope this helps!
e^(3x)+e^x-6=0
stuck on step u = e^x, u^3 + u - 6 = 0
Answers
The Solution to the given equation is gotten as; x = 0.4913
How to solve differential equations?We are given the equation;
e³ˣ + eˣ - 6 = 0
Let u = eˣ. Thus, our equation is now;
u³ + u - 6 = 0
Factorizing this to find the roots gives us;
u = 1.6344
Thus;
eˣ = 1.6344
x = In 1.6344
x = 0.4913
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4x what = 364
please put the calculation
Answers
Answer:
91
Step-by-step explanation:
4 x 91 = 364
To work this out, we must do the inverse operation. The inverse (opposite) of x (times or multiply) is ÷ (divide).
So, we do 364 ÷ 4 = 91
Hope this helps!
- profparis
20 points!!! Which of the following functions represent the graph of? Question and answers linked below, thank you!
Answers
Answer:
the second picture shown
Step-by-step explanation:
it’s has on the x axis (-3,0) and on y axis (0,-2.26)
Consider this sphere with a diameter of 12 cm. a sphere with diameter 12 centimeters. what is the volume of the sphere? sphere v = four-thirds pi r cubed 24pi cm3 48pi cm3 288pi cm3 2,304pi cm3
Answers
Answer: 200 pi
Step-by-step explanation:
The tables show linear functions representing the estimated time it takes for the math and language arts portions of standardized tests with different numbers of questions. Which function has the greater slope and what does it indicate? The math function has the greater slope, which shows that the estimated time per question for math is less than the estimated time per question for language arts. The math function has the greater slope, which shows that the estimated time per question for math is greater than the estimated time per question for language arts. The language arts function has the greater slope, which shows that the estimated time per question for language arts is less than the estimated time per question for math. The language arts function has the greater slope, which shows that the estimated time per question for language arts is greater than the estimated time per question for math.
Answers
The language arts function has the greater slope. Then the correct option is C.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The tables show linear functions representing the estimated time it takes for the math and language arts portions of standardized tests with different numbers of questions.
The table is shown below.
The slope of math will be
Slope of math = (207 - 87)/ (65 - 25)
Slope of math = 120/40
Slope of math = 3
The slope of language arts will be
Slope of language arts = (248 - 88)/(60 - 20)
Slope of language arts = 160/40
Slope of language arts = 4
The language arts function has the greater slope, which shows that the estimated time per question for language arts is less than the estimated time per question for math.
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Answer:D-The language arts function has the greater slope, which shows that the estimated time per question for language arts is greater than the estimated time per question for math.
Step-by-step explanation:
Karen needs to make a total of 60 deliveries this week. So far she has completed 33 of them What percentage of her total deliveries has Karen completed?
Answers
Answer:
55%
Step-by-step explanation:
(33/60) * 100
leave a comment if u need further explanation
Which statement is true?
A Two points can be noncollinear.
B Any two points can be noncoplanar.
C Any two points are sufficient to determine a line.
D Two points are sufficient to determine a plane.
Answers
Answer:
C is true as 2 pionts = a line
Step-by-step explanation:
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