Answer:
A: 113.04in^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2 where r is the radius
We know the diameter is 12 inches so the radius is 1/2 the diameter
r = 1/2 d =1/2(12) = 6inches
A = (3.14) (6)^2
A = 113.04 in ^2
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.
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Find the area for a trapezoid 9.85 m 15 m 11 m 9 m
Answer:
total area = 99m² + 39.4m²
= 138.4m²
What and why is the total amount 180 is it a triangle? Or something
Answer:
Yes it is
Step-by-step explanation:
when you add up all parts of a triangle they are equal to 180
Answer:
yes
Step-by-step explanation:
the sum of interior angles of a triangle is = to 180 degrees.(It's a geomatory theorem)
a shopkeeper sold 16 articles for a total of £400 and made a profit of £48.00 how much did each article cost him
The figure below shows a rope that circles the Earth. The radius of the Earth is 6371 kilometers. Assuming the rope makes a perfect circle, what is the length of this rope? Give your answer in terms of pi. kilometers
Answer:
12742π kilometers
Step-by-step explanation:
Circumference = 2πr
Circumference = 2(r)π
r = 6371
Circumference = 12742π
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
12742
Step-by-step explanation: Khan Academy
3x(2-x)+2x(x-1)=5x(x+3)
Step-by-step explanation:
6x - 3x^2 + 2x^2 -2x = 5x^2 + 15x
4x -x^2 = 5x^2 + 15x
-11x - 6x^2 = 0
-6x^2 - 11x = 0
use the quadratic formula
(-b±√(b²-4ac))/(2a)
If 3 people stay in a hotel for today and by gh600.00 .what is the cost of 5 people staying for 8 days.
so it'd be 600 / 3 which gives you 200.00 that's what each person paid a day given that there's 5 five times 200 is one day 1000.00x 8 = ($8000.00) for 5 people for 8 days
y - 4 = 3. what is y = ???
Hi ;-)
[tex]y-4=3\\\\y=3+4\\\\\boxed{y=7}[/tex]
Answer: 7
.....7-4=3
ANSWER NUMBER 3 ASAP PLS I HAVE SCHOOL IN AN HOUR WILL GIVE BRAINLY
Answer:The solution is in the attached file
Step-by-step explanation:
Find the value of x.
[tex]180^o-130^o=50^o\\\\90^o+50^o=140^o\\\\x=180^o-140^o\rightarrow\boxed{x=40^o}[/tex]
1. Reflection across the x-axis.
R(-2,2) ► R’
J(-1,4) ► J'
G(3,4) ► G’
reflection in the x axis
x,y=x-y
-2,2
2,-2
-1,4
1,-4
3,4
3,-4
sarah solved an equation correctly, and she got 2=2. in a complete sentence, explain what this result means.
Answer:
see explanation
Step-by-step explanation:
Solving an equation and obtaining the final line as
2 = 2 ( that is both sides equal )
Indicates that the equation has an infinite number of solutions
PLz help :( i will mark barinliest
which best describes the meaning of the word theorem
A. A conjecture based on inductive reasoning
B. A statement that is accepted as true without proof
C. a statement explaining the meaning of a geometric term
D. A conclusion proved by deductive reasoning
Answer:
Step-by-step explanation:
It's D.
A theorem is true by some sort of mathematical logic.
It is not a definition. Not C
It is not in the end true because of inductive reasoning (a theorem may lend itself to inductive reasoning, but it must be proved.) Not A
It certainly not assumed to be true without proof. Not B
I need help please i reposted this question 2 times no one knows the answer.1
Answer:
12 Points
Step-by-step explanation:
Carson buys eggs and lemons at the store.
He pays a total of $39.62.
He pays $6.74 for the eggs.
He buys 8 bags of lemons that each cost the same amount.
Which equation could be used to determine xx, how much each bag of lemons costs?
Answer:
8x = 39.62 - 6.74
Step-by-step explanation:
Cost of 1 bag of lemons = $ x
Cost of 8 bags of lemons = 8 *x = 8x
Cost of 8 bags of lemons = Total cost - cost of the eggs
8x = 39.62 - 6.74
Answer:
3.
Step-by-step explanation:
[tex]x + y = 39.62 \\ x = 6.74 \\ y = \frac{39.62 - 6.74}{8} [/tex]
PLEASE ANSWER THIS QUICK!!!!
Suppose you solve an equation and
find that your school needs 4.3 buses for a class trip.
Explain how to interpret this solution.
Answer:
you need 5 buses and 4 will be totally full and one will only be 1/3 full
or you can have 14% of all 5 buses with empty seats
Step-by-step explanation:
Answer fast.
Which statement is not true?
A. All whole numbers and integers are
rational numbers.
B. All rational numbers can be written as a
fraction.
C. A whole number cannot be written as a
fraction.
D. All integers are whole numbers but not
all whole numbers are integers.
Answer:
C
Step-by-step explanation:
all whole numbers can be written as fractions that is over 1
7.
The table shows the estimated number of deer living in a forest over a five-year period. Are the data best represented by a linear, exponential, or quadratic model? Write an equation to model the data.
Year
Estimated Population
0 91
1 70
2 54
3 42
4 32
A. quadratic; 0.77x2 + 91
B. exponential; y= 91 * 0.77x
C. linear; y= 0.77x + 91
D. quadratic; y= 91x2 + 0.77
Answer:
All I can say is that it isn't linear, as the number would then be the same every year
Answer:
B. exponential; y= 91 * 0.77x
Step-by-step explanation:
The Answer is A.
y=91*0.77^x
I just substituted the x on all of them and only one got the corrct y which is A.
Jasper Hall sells farm chemicals. He is paid a commission of 99% of his first $6,000 in sales during the month and 14% on all sales over $6,000. What is his commission in a month in which he has sales worth $16,120?
Amount of total commission is $1,956.8 (Approx.)
Given:
Percent of commission upto $6,000 sale = 9% (Misprint)
Percent of commission over $6,000 sale = 14%
Amount of total sales = $16,120
Find:
Amount of total commission
Computation:
Amount of commission upto $6,000 sale = 6000 × 9%
Amount of commission upto $6,000 sale = $540
Amount remain = 16120 - 6000
Amount of commission upto $6,000 sale = $10,120
Amount of commission over $6,000 sale = 10,1200 × 14%
Amount of commission over $6,000 sale = $1,416.8
Amount of total commission = Amount of commission upto $6,000 sale + Amount of commission over $6,000 sale
Amount of total commission = 540 + 1,416.8
Amount of total commission = 1956.8
Amount of total commission = $1,956.8 (Approx.)
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i really need to find out how to find a,b, and c in the quadratic formula can u please help ASAP will mark as BRAINLIEST!!
Answer:
Brainliest, please! (Answer below)
Step-by-step explanation:
The basic form for any quadratic function is:
ax^2 + bx + c.
The constant of the 1st term, the x^2 constant, is a, the constant of the second term, the x constant, is b, and the constant, the third term, is c. There are some instances where there will not be a b or c. For example, x^2 + 2, or 3x^2 - 4x. However, there must always be an a, or else the function isn't quadratic.
Find f (2b^2) for (x)=x^2-4x
Answer choice is
A. 4b^4 -8b^2
B. 2b^4-8b^2
C. -4b^2
D. 4b^2 - 8b^8
Answer:
A
Step-by-step explanation:
We are given the function:
[tex]f(x) = x^2 - 4x[/tex]
And we want to find:
[tex]\displaystyle f(2b^2)[/tex]
Substitute:
[tex]\displaystyle f(2b^2) =(2b^2)^2 -4(2b^2)[/tex]
And evaluate:
[tex]\displaystyle \begin{aligned} f(2b^2) &=(2b^2)^2 -4(2b^2) \\ &=(4b^4) +(-8b^2) \\ &= 4b^4 - 8b^2 \end{aligned}[/tex]
In conclusion, our answer is A.
write the equation of a line in slope intercept form y=mx+b m=6, (0,5)
Answer:
m is the slope so plug in y=6x+b
and b is the y intercept so the equation is y=6x+5
Step-by-step explanation:
Which equation represents a line which is perpendicular to the line y =
= -x - 72
6x - 5y = 30
Oby - 52 = 18
Submit Answer
O 6x + 5y = 20
O 5x + 6y = 42
PLS HELP ASAP
Answer:
[tex]5x + 6y = 42[/tex]
Step-by-step explanation:
Hope it is helpful....
Help me please thank you
Answer:
19, 25, 32
Step-by-step explanation:
Find the difference within each number:
5 -> 7: + 2
7 -> 10: + 3
10 -> 14: + 4
With each difference, + 1 is added so we can infer the next difference will be + 5.
14 + 5 = 19
Next is + 6.
19 + 6 = 25
Now + 7.
25 + 7 = 32
Sports Co buys soccer balls from their supplier at $20 per bat. They sell these for $40.
What percentage mark-up have they applied to soccer balls?
Answer:
buy for $20 and sell for $40
is 100% mark-up
Step-by-step explanation:
What is the slope of the line containing (–3, 1) and (1, –2)? A. 3/4B. –4/3 C. –3/4 D.4/3
C.-3/4................
In triangle ABC, m ZA = 47°, m ZB = 62°. m ZC =
a. 81°
b. 61°
C. 71
d. 51°
Answer:
m ZC = 71 degrees. Option C.
Step-by-step explanation:
Triangles always measure a total of 180 degrees.
47 + 62 + c = 180
109 + c = 180
c = 71
Answer:
71°
Step-by-step explanation:
The total angles in a triangle should equal 180°
a + b + c = 180
47 + 62 + c = 180
109 + c = 180
180 - 109 = 71
c = 71°
Hope this helped!
which of the following statement is not
is not true?
A-√25 is an integer
B is a rational number
C va
is an irrational number
D 4 is a whole number
Answer:
C is not true.
Step-by-step explanation:
√9/√4
= 3/2 which is rational.
Answer:
C.
[tex]{ \sf{ \frac{ \sqrt{9} }{ \sqrt{4} } \: is \: an \: irrational \: number}}[/tex]
Step-by-step explanation:
(√9)/(√4) is rational, because
[tex] \frac{ \sqrt{9} }{ \sqrt{4} } = \frac{3}{2} [/tex]
on a piece of paper graph y<2x-3 then determine which answer matches
Answer:
i think its 5 i think i dont know havent done this since 6th grade
What is the quotient of 4.653 x 107 and 7.05 x 103 expressed in scientific
notation?
