Answer:
1.88 m
Step-by-step explanation:
74 ÷ 39.37 = 1.88m
1 meter = 39.37 inches
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 10 times t squared plus 50 times t end quantity over the quantity t squared plus 4 times t plus 3 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)
Graphs are used to show the relationship between variables, where the variables are represented by a pair of axes.
The domain of the function is [tex]t \ge 0[/tex] The greatest concentration of the medication is 5mg/LGiven that:
[tex]C(t) = \frac{-10t^2 + 50t}{t^2 + 4t + 3 }[/tex]
(a): The domain of the function
Because the medication concentration C(t) is a function of time (t), the domain is the possible values t can take.
t, cannot take negative values (i.e. it is not possible to have a negative time).
The least possible value of t is 0
So, the domain of the function based on the context is:
[tex]t \ge 0[/tex]
(b) The greatest concentration of the medication
From the graph (see attachment), the maximum y-value is 5.
Hence, the greatest concentration of the medication is 5 mg/L
Read more about functions and graphs at:
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A function assigns the values. The greatest concentration of the medication that a patient will have in their body is when the time is t=1.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
A.) Given the function of the concentration of medication in the body as to[tex]C(t)=\ \frac{\left(-10t^{2}+50t\right)}{t^{2}+4t+3}[/tex] where t is the time. Since the time can not be negative, therefore, the domain of the function is t≥0.
B.) The graph of the function can be plotted as shown below. Now, the greatest concentration of the medication that a patient will have in their body is when the time is t=1.
Learn more about Function:
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anyone help me please
[tex] \frac{ \sqrt{x + 1} + \sqrt{x - 1} }{ (\sqrt{x + 1} - \sqrt{x - 1}) } + \frac{ \sqrt{x + 1} - \sqrt{x - 1} }{( \sqrt{x + 1} + \sqrt{x - 1}) } [/tex]
[tex]\\ \rm\hookrightarrow \dfrac{\sqrt{x+1}+\sqrt{x-1}}{\sqrt{x+1}-\sqrt{x-1}}+\dfrac{\sqrt{x+1}-\sqrt{x-1}}{\sqrt{x+1}+\sqrt{x-1}}[/tex]
[tex]\sf Let\begin{cases}\sf \sqrt{x+1}=a \\ \sf \sqrt{x-1}=b\end{cases}[/tex]
Now
[tex]\\ \rm\hookrightarrow \dfrac{a+b}{a-b}+\dfrac{a-b}{a+b}[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{\left\{(a+b)(a+b)\right\}+\left\{(a-b)(a-b)\right\}}{(a+b)(a-b)}[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{(a+b)^2+(a-b)^2}{a^2-b^2}[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{a^2+2ab+b^2+a^2-2ab+b^2}{a^2-b^2}[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{2a^2+2b^2}{a^2-b^2}[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{2(a^2+b^2)}{a^2-b^2}[/tex]
Put values
[tex]\\ \rm\hookrightarrow \dfrac{2\left[(\sqrt{x+1})^2+(\sqrt{x-1})^2\right]}{(\sqrt{x+1})^2-(\sqrt{x-1})^2}[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{2(x+1)(x-1)}{(x+1)(x-1)}[/tex]
Take 2 common[tex]\\ \rm\hookrightarrow 2\left(\dfrac{(x+1)(x-1)}{(x+1)(x-1)}\right)[/tex]
[tex]\\ \rm\hookrightarrow 2(1)[/tex]
[tex]\\ \rm\hookrightarrow 2[/tex]
Answer:
it was helpful to you dear ❣️❣️❣️❣️❤️❤️❤️
Find the value of the expression 4a4 − 2b2 + 40 when a = 2 and b = 7.
Answer:
44
Step-by-step explanation:
4×(2)×4-2×(7)×2+40=?
8×4-14×2+40=?
32-28+40=
=44
Need help with 11 and 10
Answer:
10: a
11: c
Step-by-step explanation:
10. Use the midpoint formula
[tex]\frac{-6+8}{2}[/tex], [tex]\frac{2+9}{2}[/tex] = 1, 5.5
11. 7 + 4 + 4 = 15
(add two fours because N is the midpoint)
Which does not represent an integer?
Question 1 options:
−182
45
9–√
0
Answer:
9 minus a square root is the answer I think...
Step-by-step explanation:
Integers are all positive&negative numbers + 0
a b and c lie on a straight line given that angle y = 125 and angle z = 313 work out x
Answer:
∠x = 78
Step-by-step explanation:
∠y + ∠1 = 180
=> 125 + ∠1 = 180
=> ∠1 = 180 - 125
=> ∠1 = 55
∠z + ∠2 = 360
=> 313 + ∠2 = 360
=> ∠2 = 360-313
=> ∠2 = 47
∠1 + ∠2 + ∠x = 180
=> 55 + 47 + ∠x = 180
=> ∠x = 180 - 55 - 47
=> ∠x = 78
Answer:
[tex]x=78[/tex]
Step-by-step explanation:
Skills needed: Exterior Angle Theorem, Triangle Geometry:
1) We need to solve for [tex]x[/tex] and there are 2 methods to do it. I will go over the fastest way (since it's better).
This involves the exterior angle theorem (see the image attached to see how that works.2) In order to use this theorem, we need to solve for the angle near [tex]z[/tex]. This angle would be [tex]360-z[/tex], which is [tex]360-313[/tex] (since [tex]z=313[/tex]).
[tex]360-313[/tex] = [tex]47[/tex]
3) Then, we can use the fact that [tex]y=x+47[/tex] (47 is the measure of the angle we just solved for.)
[tex]y=125[/tex], so [tex]125=x+47[/tex]
Subtract 47 from both sides, and get [tex]x=78[/tex]
Hope you understood and have a nice day! :D
Note: I have attached one image that shows my work, and another image that shows the exterior angle theorem (which I created on a whiteboard). Hope you get it! If you have any questions, comment and I can answer it ASAP!
Please help work is due in a couple of minutes
Step-by-step explanation:
3m is the answer.
hope it helps
Answer:
3 meters
Step-by-step explanation:
The train starts at (0, 0) and ends at (6, 3). So the train travels in 6 seconds (6 - 0) 3 meters (3 - 0).
PLEASE HELP!!!! Im being timed
Emily received a check from her grandmother for $40.00 for her birthday. To cash the check, her bank requires her to deposit the funds into her account. Since she wanted to spend the money that afternoon, she withdrew $40.00 in the same transaction. Jacoby went on a hiking trip on the Rocky Bend Loop. Starting at an elevation of 1,200 feet, he hiked up the eastern trail leading to a change in elevation of 782 feet to get to the campsite. The next day he hiked down the western trail which had a change in elevation of 782 feet to get back to his car. During the top of the fourth inning of a baseball game, the Ravens scored three runs. During the bottom of the fourth inning, the Raiders scored five runs to tie the game. Marcus runs a sightseeing service in the Appalachian Mountains. The first leg of the tour is a 16.2-mile horseback ride from the stables up the side of a mountain. The second leg of the tour is a 20.6-mile four-wheeler ride taking a different path down the mountain to the customer parking lot. A carbon 12 atom has six neutrons, six protons, and six electrons. The neutrons have no charge, each proton has a positive charge, and each electron has a negative charge of the same magnitude. To start the second half of the basketball game, the Eagles made a jump shot for two points. The Bulldogs then took the ball down the court on a fast break and made a layup for two points.
Answer:
pretty sure ypu arent suppose to send your entire math homework like this
What multiplied by 15 equals 750?
Answer:
50
Step-by-step explanation:
Can somebody please help me?
Answer:
Second option,domain: negative infinity, 4 and range, negative infinity, 3
The domain are all the x's that you can input into a function. It looks like the function goes to all x's from negative infinity until it hits positive 4. that's why it is -infinity, 4 for the domain.
The range is all the y's that are outputted. As you can see, the function goes to all y's from negative infinity to 3.
Step-by-step explanation:
Solve for p.
8 − 4(2p − 2) = 7 + p + 9
p =
Answer:
p = 0
Step-by-step explanation:
[tex]8 - 4(2p - 2) = 7 + p + 9[/tex]
➡️ [tex]8 - 8p + 8 = 16 + p[/tex]
➡️ [tex]16 - 8p = 16 + p[/tex]
➡️ [tex] - 8p = p[/tex]
➡️ [tex] - 8p - p = 0[/tex]
➡️ [tex] - 9p = 0[/tex]
➡️ [tex]p = 0[/tex]
1. Give another name for liner r.
2. Name the intersection of lines r and s.
3. Name three collinear points.
4. Give another name for plane N.
Answer:
3
Step-by-step explanation:
−2/5×5/9 if you may please help i would appreciate i deeply
'
Answer:
[tex] \frac{ - 2}{5} \times \frac{5}{9} \\ \frac{ - 2 \times 5}{5 \times 9} \\ \frac{ - 10}{45} \\by \: diving \: both \: numbers \: by \: five \: we \: get \\ \frac{ - 2}{9} [/tex]
I hope it helped U
stay safe stay happy
Answer: - 2/9
Alternative Answer: 0.222222222 (Repeated)
Step-by-step explanation:
- 2/5 x 5/9
Reduce the numbers with the greatest common factor 5
- 2 x 1/9
Simplify and calculate the product
- 2/9 or - 0.2222222 (Repeated)
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Graham sold 6 magazines less than double what Adrianne sold, which of the following expressions represents graham’s sales? ( 9th grade, Algebra 1 )
Answer:
The expression that represents Graham's sales is: 2a - 6
The track team needs new uniforms. the students plan to sell candies. the students find three companies for 44.80. company c charges
Answer: Answer:
Company C
Step-by-step explanation:
Company A sells 12 tigers for $33.24.
Cost per tiger = $33.34 / 12
= $2.78
Company B sells 16 tigers for $44.80. Company
Cost per tiger = $44.80 / 16
= $2.8
C charges $41.10 for 15 tigers.
Cost per tiger = $41.10 / 15
= $2.74
The company that has the best buy is company C that charges $2.74 per tiger
Brainliest please
Plz HELPPPPPPP!!!!!!!!!!
Do you what explanation?
4. Explain the difference between (-5)² and - 5² PLZ HELP !!!!!!!!!!
Answer:
Step-by-step explanation:
(-5)² = (-5) * (-5) = 25
Here Take square for (-5)
- 5² = - 5 * 5 = - 25
Here take square for 5
i need help!!!! what does x equal?
Answer:
17
Step-by-step explanation:
Answer:
x = 17
Step-by-step explanation:
We can find the missing angle inside the triangle by doing 180 - 94 = 86.
Every triangle has 3 angles that add up to equal 180 so we can set these three angles to equal 180.
60 + 86 + 2x = 180
146 + 2x = 180
Subtract 146 from both sides
2x = 34
Divide by 2 to isolate x
x = 17
The perimeter of a triangle is 16x−6. If two sides measure 3x+2 and 4x−9, then how long is the third side?
Perimeter of a triangle is the sum of measures of its all three sides, let the other be y,
we know,
[tex] \hookrightarrow \: y + 3x + 2 + 4x - 9 = 16x - 6[/tex]
[tex] \hookrightarrow \: y + 7x - 7 = 16x - 6[/tex]
[tex] \hookrightarrow \: y = 16x - 6 - 7x + 7[/tex]
[tex] \hookrightarrow \: y = 6x + 1[/tex]
hence, measure of the third side is 6x + 1
How many dollars does 3 bottles of water cost ?
Answer:
$7.5
Step-by-step explanation:
if we set up the proportion [tex]\frac{10}{4} =\frac{x}{3}[/tex] with cost on top and water bottles on bottom, we can divide 10/4 too get 2.5, which we can then multiply by 3 to get our x value, 7.5.
15 - (-8) answer if you could please and thank you
Hi there!
»»————- ★ ————-««
I believe your answer is:
23
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the answer...}}\\\\15-(-8)\\-----------\\\rightarrow 15-1(-8)\\\\\rightarrow 15 + 8 \\\\\rightarrow \boxed{23}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
What form of deductive reasoning is used in the given argument?
If it’s raining outside, I’ll wear my raincoat.
I am not wearing my raincoat.
It is not raining outside.
A.
law of detachment
B.
law of syllogism
C.
law of contrapositive
D.
identification of counterexample
Answer:
C.
law of contrapositive
Answer:
law of contrapositive
Step-by-step explanation:
Find all real solutions to w^2-10w+1
In simplest form
Answer:
you can solve it using quadratic formula
w=5-2 √6 or w=5+ 2√6
Please i need help
Solve by factorisation.
5x^2 + 7x + 2 = 0
Answer:
[tex]\huge\boxed{\sf Solution \ Set = \{-1, \ -2/5\}}[/tex]
Step-by-step explanation:
[tex]\sf 5x^2+7x+2 = 0\\\\By \ mid-term\ break,\\\\5x^2 + 5x+2x+2=0\\\\Taking \ common\\\\5x(x+1)+2(x+1)=0\\\\Take \ (x+1) \ common\\\\(x+1)(5x+2)=0\\\\Either, (By \ Zero's \ Method)\\\\x+1 = 0 \ \ \ OR \ \ \ 5x + 2 = 0\\\\x = -1 \ \ \ OR \ \ \ x = -2/5\\\\Solution \ Set = \{-1, \ -2/5\}\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!What time is shown on the clock
Answer:
9:18
Hope this helps <3
X
6.
The table shows all the possible sums when rolling two number cubes numbered 1
What is the probability that rolling two cubes results in a sum of 8P
6
1
2
3
4
5
6
7
1
2
3
4
5
6
2 3 4 5
3 4 5 6
4 5 6 7
5 6 7 8
6 7 8 9
7 8 9 10
8 9. 10 11
7
8
9
10
11
12
Done
Answer:
Step-by-step explanation:
You can roll an 8 in the following ways
3 - 5
5 - 3
4 - 4
6 - 2
2 - 6
That's 5 ways that it can be done. There are a total of 36 ways to throw 2 dice.
The probability of getting an 8 is 5/36
Help help help me please
Answer:
6x - 4
Step-by-step explanation:
Cross out the 3 in the denominator and the 9, which simplifies to 2 times 3x, which is 6x. For the second part, cross out 3 in the denominator and -6, which becomes 2 times (-2), which is -4.
What is the solution to the equation?
5 = 2/5a
A. 2
B. 4 3/5
C. 12 1/2
D. 25
Answer:
3 rd OptionStep-by-step explanation:
[tex]5 = \frac{2}{5} a[/tex]
=> 5 × 5 = 2a
=> 25 = 2a
[tex] = > \frac{25}{2} = a[/tex]
[tex] = > a = 12 \frac{1}{2} (ans)[/tex]
Please help me I’m struggling! I’ll give a brainliest!!
Collinear points lie on the same line. Find the value of k for which the following points are collinear: (k,3), (-3,2), (-1,1)
Answer:
k=-5
Step-by-step explanation:
For the points to be collinear any two pair must have the same slope
We find the slope of the 2nd and 3rd points
=1-2/-1--3
=-1/2
Now finding the slope of the 1st and any other point say point 3
1-3/-1-k=-½
-2/-1-k=-½
-4=-1(-1-k)
-4=1+k
k=-4-1
k=-5
PROOF
if the first point is (-5,3)
slope of point 1 and 2
=2-3/-3--5
=-1/2