The percent of concentration of a certain drug in the bloodstream x hours after the drug is administered is given by K(x) 5x/x^2 + 9. a. Find the time at which the concentration is a maximum. b. Find the maximum concentration.
Given :
The percent of concentration of a certain drug in the bloodstream x hours after the drug is administered is given by [tex]K(x) = \dfrac{5x}{x^2+9}[/tex].
To Find :
Find the time at which the concentration is a maximum. b. Find the maximum concentration.
Solution :
For maximum value of x, K'(x) = 0.
[tex]K'(x) = \dfrac{5(x^2+9)- 5x(2x)}{(x^2+9)^2}=0\\\\5x^2+45-10x^2=0\\\\5x^2 = 45\\\\x = \pm 3[/tex]
Since, time cannot be negative, so ignoring x = -3 .
Putting value of x = 3, we get, K(3) = 15/( 9 + 9) = 5/6
Therefore, maximum value drug in bloodstream is 5/6 at time x = 3 units.
Hence, this is the required solution.
If 4j+3=-5. what is j +9?
Answer:
7
Step-by-step explanation:
First, we solve for j in the first equation:
4j+3=-5
4j=-8
j=-2
Now we plug j into j+9:
-2+9=7
So j+9 is 7
Maricopa's Success scholarship fund receives a gift of $ 75000. The money is invested in stocks,
bonds, and CDs. CDs pay 2.25 % interest, bonds pay 4.4 % interest, and stocks pay 6.5 % interest.
Maricopa Success invests $ 30000 more in bonds than in CDs. If the annual income from the
investments is $ 3610, how much was invested in each account?
Maricopa Success invested $___in stocks.
in bonds.
Maricopa Success invested $___ in bonds.
Maricopa Success invested $____in CDs.
Answer:
Maricopa's Success invests $25,000 in stocks, $40,000 in bonds, and $10,000 in CDs.
Step-by-step explanation:
a = Stocks
b = Bonds
c = CDs
a + b + c = 75000
b = 30000 + c
a = 75000 - c - 30000 - c = 45000 - 2c
0.065(45000 - 2c) + 0.044(30000 + c) + 0.0225c = 3610
2925 - 0.13c + 1320 + 0.044c + 0.0225c = 3610
0.0635c = 635
c = 10000
So b = 40000 and a = 25000
im scared to tell my parents im gay plz give me motivation
Same here love!! Remember that if the living environment can get dangerous that it's better to stay in the closet, but besides that Good luck!
20 POINTS
NEED HELP ASAP
If f(x) = 3x-2 and g(x) = 2x+1, find (f+g)(x)
A. x-3
B. x-1
C. 5x-1
D. 5x-3
What proportion results in the equation 9m=10n?
Answer:
the 2 nd one 9/m=10/n
Step-by-step explanation:
What is 7.504-2.3792 rounded to the hundred
Answer:
0
Step-by-step explanation:
First what we have to do is subtract 7.504 and 2.3792 7.504 - 2.3792 = 5.1248then what we do isfind the number in the number in the hundreds place 0 and look one place to the to the right for the rounding digit 0. Round up if this number is greater than or equal to 5 and round down if less than five.Since zero is less than five we would round down
so our answer is zero
Hope this helps
Hope u get it right
PLSSS HELPPPPP I WIILLL GIVE BRAINLIEST!!!!!
PLSSS HELPPPPP I WIILLL GIVE BRAINLIEST!!!!!
PLSSS HELPPPPP I WIILLL GIVE BRAINLIEST!!!!!
Answer: -12/-5x
Step-by-step explanation: use slope formula which is y2-y1/x2-x1
-7-5/-2-3
-12/-5
And then add x after the slope because slopes have x after them
Answer:
Answer:
1. = 1
2. -1/3
Step-by-step explanation:
1. (2,4) and (1,3)
The slope formula is y2-y1
---------
x2-x1
__________________________________________________________
y2=3
y1=4
x2=1
x1=2
Therefore, the slope is 1, and the correct answer is 1.
__________________________________________________________
2. (2,7) and (5,6)
The slope formula is y2-y1
---------
x2-x1
Therefore, the slope is -1/3, and the correct answer is -1/3.
______________________________________________
Hope this helps!
Step-by-step explanation:
please give brainliest :3
ive never gotten brainliest
What is the sum of two consecutive numbers is 141
The two consecutive integers such that their sum is 141 will be 70 and 71.
What is a number system?The number system is a way to represent or express numbers.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.
Let's say that two consecutive integers are x and x + 1.
x + x + 1 = 141
2x + 1 = 141
2x = 140
x = 70
So, x + 1 = 71
Thus, it will be 70 and 71.
Hence "The two consecutive integers such that their sum is 141 will be 70 and 71".
For more about the number system,
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Please help I’ll mark brainliest if u give a small explanation!!!
Answer:
ut is a if you add 5 plus 4 it makes 9 do not add the 8
What is the slope between the points (5,-4) and (-3,4)
-1
4
0
1
Answer:
The answer is -1.
Step-by-step explanation:
You have to apply gradient formula :
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
So you will have to substitute the coordinates into the equation. Let (x1,y1) be (-3,4) and (x2,y2) be (5,-4) :
[tex] m = \frac{ - 4 - 4}{5 - ( - 3)} [/tex]
[tex]m = \frac{ - 8}{8} [/tex]
[tex]m = - 1[/tex]
Suppose the local Barons team wins every game they play with a probability of 0.75. What is the probability that the Barons would win a best-of-seven-game series (i.e., they play games until one team has won four game)?
Answer:
The probability is 0.173
Step-by-step explanation:
The probability is of winning is 0.75 = 75/100 = 3/4
This means that the probability of losing is 0.25 = 25/100 = 1/4
So if they are two win 4 games, they will lose three
We can get this probability using the Bernoulli approximation of the binomial theorem
So here, we have
P(X = 4) = 7 C 4 * 0.75^4 * 0.25^3
= 0.173034667969
which is approximately 0.1730
Four siblings have a dog walking business. The table shows the hours worked by sibling. sibling earns $25.50 per hour and the total number of hours worked is represented by 10h + 15, where h represents the number of hours Michael worked. Sibiling Hours Worked Martin 2. 5h +3 Emillo 4(h – 2) Michael Mario 31 What was the total amount the siblings earned?
Answer:
I couldn't find out how many hours Michael worked but the total amount is $1504.50
Step-by-step explanation:
The pumpkin patch had two corn mazes, as shown by the shaded and non-shaded sections in the model below.
A model with 4 rows of 7 squares, representing 28 acres, and 2 rows of 7 squares, representing 14 acres.
Which expression is shown by the model?
Answer :
D - 28 + 14 = 7(4+2)
Calculate how wide each space should be.
The lot is 41 feet wide.
The dividers are each 6 feet wide.
The dividers need to go evenly in
Answer:
Each space should be 6.83333 feet wide.
Step-by-step explanation:
a) Data and Calculations:
Lot = 41 feet wide
Dividers = 6 feet wide
For even spacing, 41/6 = 6.83333 feet
b) The quotient is equal to the dividend divided by the divisor. Since the lot is 41 feet wide, the quotient, when divided by some 6-feet wide dividers, will be equal to 6.83333 or 7 feet wide. This implies that each divider will occupy a space equivalent to 7 feet or specifically 6.83333 feet wide.
Christen has to run around the rectangular soccer field during practice. The soccer field measures 60 meters
long by 45 meters wide.
How far did Christen run?
Answer:
210m
Step-by-step explanation:
60+60+45+45
120+90
210m
PLEASE HALP IM TIMES
Answer:
1,3,4
Step-by-step explanation:
Two less than three-fourths of a number is, at most, negative seventeen. what is the range of values for the number?
Answer:
[tex]x\leq -20[/tex]
values ranging from minus infinity to negative 20
Step-by-step explanation:
we write the inequality associated with the text in terms of the unknown number "x" as:
[tex]\frac{3}{4} x-2\leq -17[/tex]
then, we solve for "x" by adding 2 to both sides, and then isolating "x" on the left as shown below:
[tex]\frac{3}{4} x-2\leq -17\\\frac{3}{4} x\leq -17+2\\\frac{3}{4} x\leq -15\\3\,x\leq -60\\x\leq -\frac{60}{3} \\x\leq -20[/tex]
then, the range of x-values is from minus infinity to negative 20
When graphing a linear inequality, when can you NOT use (0, 0) as a test point to determine which side of a boundary line to shade?
9514 1404 393
Answer:
when (0, 0) is on the boundary line
Step-by-step explanation:
Any test point you use to determine shading must not lie on the boundary line. You need a test point that will make the inequality true or false. That is, it must give a result a > b or a ≥ b, where a ≠ b. A point on the boundary line will give a = b, so is not helpful.
If the test point gives "true", then it lies in the shaded area. If it gives "false," then the other side of the line is shaded.
(0, 0) cannot be used as a test point when it lies on the boundary line.
in 2011 there were 3223 sea otters in Monterey Bay California the bay is approximately 77 mi.² to the nearest whole number what was the density of the sea otter population
Answer:
42 sea otters per mi2
Step-by-step explanation:
PEOPLE SHOW ANSWERS PLEASE AND WILL GIVE BRAINLIEST 8. The ratio of cats to dogs at a pet show
is 1:3.
a) What percent of the pets at the
show are cats?
Answer:
33.33%
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
so we add 1 and 3 together becuase since there are equal parts, we need to add to get the whole. so since the ration is 1:3, there are 1/4x cats thereate the show
Two dice are rolled, what is the probability that the sum of the dice is 7, given that exactly one die shows a five?
A. 1/8
B. 1/5
C. 05/36
D. 1/6
Answer
the best answer is D
X^2 + 10x = 0
How do I solve for a completed square ?
Answer:
12x=0
Step-by-step explanation:
x=0 because it is
Answer:
x = 0 x = -10
Step-by-step explanation:
First, use the AC method to figure out, what times what equals 0 and what adds up to equal 10, which would be 0 and 10.
Secondly, you would factor it out and be with
(x + 0)(x +10)=0
Third, you would set each one equal to 0
x + 10 = 0 x + 0 = 0
Solve from there to get your two x's
x = 0 and x = -10
write 6.085 in word form
a window washer clean 38 windows in 2 hours at this rate how many windows did he clean in 7 hours?
Answer:
133 windows
Step-by-step explanation:
Solve and explain the steps you would use in solving 2 step problems
PLEASE HELP ASAP
Answer:
got deleted eh?
Step-by-step explanation:
Mrs. Garcia deposited $2500 into a new bank account. The bank pays 1.5% interest compounded annually on this account. She makes no additional deposits or withdrawals. How much is in her account at the end of 2 years?
Step-by-step explanation pls! :)
Answer:
$2575.5625
Step-by-step explanation:
2500*(1.015)^2
=$2575.5625
PLS GIVE BRAINLIEST
1st Year 2500*1.015=2537.5
2nd Year 2537.5*1.015=2575.5625
2logx+3logy=0 find y in term of x
Answer:
y = x^(-2/3)Step-by-step explanation:
Given
2log x + 3log y = 0Finding y in terms of x
3log y = -2log xlog y = -2/3log xlog y = log x^(-2/3)y = x^(-2/3)Step-by-step explanation:
[tex]{:}\longrightarrow[/tex][tex]\sf 2log_x+3log_y=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 3log_y=-2log_x [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf {\cancel {log}}_y={\dfrac {2}{3}}{\cancel{log}}_x [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf y={\dfrac{2}{3}}x [/tex]
Help please as soon as possible :)))
Answer:
24m 10+3+3+2+6
Step-by-step explanation:
Answer:
i believe its 24m surface area
Step-by-step explanation:
sorry if wrong
At Pages Aplenty book store, the more books you buy, the more books you get! With the special deal, a customer gets 2 free books for every 7 purchased books. Larry purchased 21 books. How many free books did Larry get?
Answer:
6
Step-by-step explanation:A customer gets 2 free books for every 7 purchased books. Larry purchased 21 books, and you need to find how many free books he got. Write a proportion.
2 free books
7 purchased books
=
? free books
21 purchased books
Compare the denominators.
2 free books
7purchased books
=
? free books
21purchased books
To get from 7 to 21, multiply by 3. Multiply the numerator and denominator by 3 to find the number of free books Larry got.
2 free books3
7 purchased books3
=
6free books
21 purchased books
Larry got 6 free books.
Lerry will get 6 free books . Because she gets 2 free books for every 7 purchased books.
What exactly is simplification?Simplifying means making something easier to do or comprehend, as well as making something less difficult.
For every 7 books a consumer buys, they receive 2 free books. Larry bought 21 books.
If the larry bought 21 book.She get 6 book as;
On the purchased of 7 book then on 14 book and then on the 21 book.
The free books did Larry get is found as;
⇒2+2+2
⇒6
Hence Lerry will get 6 free books .
To learn more about the simplification, refer to:
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