Step-by-step explanation:
a. We have v as the amount of drug(mg) in the blood at time t (hrs)
b. Flow rate in = k litre/he
For a circulatory system we have the flow rate in and flow rate out to be the same
Therefore,
Flow rate out = k litre/hr
concentration of drug going in = 0mg/litre
Concentration of drug going out = v mg/litre
V(0) = 20mg since 20mg was taken at midnight
V(0) = 20
Half life t1/2 = 36 hours
V(36) = v(0)/2
= 20/2
= 10mg
C. [tex]ivp = \frac{dv}{dt}[/tex][tex]= -kv[/tex]
[tex]v(0) = 20mg\\v(36) = 10mg[/tex]
d. solution
[tex]\frac{dv}{dt} = -kt\\ln(v) = ln(c) - kt[/tex]
[tex]\frac{v}{c} = e^{-kt} = v=ce^{-kt}[/tex]
v(0) = 20
[tex]ce^{-k(0)} =20[/tex]
c = 20
so
[tex]v(t) = 20e^{-kt}[/tex]
e.
[tex]t\frac{1}{2}=36hours\\ v(36)= 10[/tex]
[tex]10 = 20e^{-36k}[/tex]
[tex]\frac{1}{2} =e^{-36k}[/tex]
we take log
[tex]k=\frac{ln(2)}{36}[/tex]
please check attachment for answer f
EXAMPLE: If the function f(x) = 2x
==x+4 is restricted to a domain interval of
-4 sxs 4, is the domain over the interval continuous or discrete,
and what is the range of the function?
Answer:b
Step-by-step explanation:
Write the number with the same value as 28 ten
Answer:
280
Step-by-step explanation:
We have 28 tens
28 * 10
280
(4 x 1/10) + (8 x 1/1000) to the nearest hundredth *
Jeremy lights a candle that is Six and one-half inches tall. After several hours, the candle is One-half as tall. What is the new height of the candle?
A. 2 1/4
B. 3 1/4
C. 3 3/4
D. 1/4
Answer:
b
Step-by-step explanation:
Maria found the least common multiple of 6 and 15. Her work is shown below.
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, . . .
Multiples of 15: 15, 30, 45, 60, . . .
The least common multiple is 60.
What is Maria’s error?
Answer:
the lcm would be 30 not 60
Step-by-step explanation:
Answer:
the least common multiple is 30 but instead she found the greatest common mutiple.
Step-by-step explanation:
Ariana borrowed some money from her friend in order to help buy a new video game system. Ariana originally borrowed $150 and agreed to pay back her friend $15 per week. Write an equation for L,L, in terms of t,t, representing the amount Ariana owes her friend after tt weeks.
Answer:
150=15w
Step-by-step explanation:
w=weeks
150/15=10 weeks
if josie missed 20 questions how many did she get correct
Answer:
all
Step-by-step explanation:
wrong
Find 4/5 ÷ 16/17. Write your answer as a fraction in simplest form.
Answer:
17/20
Step-by-step explanation:
Does anybody know the answer will mark as crown ?
Since 1/2 slope is perpendicular to the equation the slope is -2 which is the opposite of the reciprocal of 1/2.
Since the slope is -2, every time you go forward you go down 2.
(-1, 0)
(0, -2)
The y-intercept is -2.
y = mx + b
y = -2x - 2
The answer is B
i’ll love you forever if you can do this
Answer:
(2, -8)
Step-by-step explanation:
The components of the vector are ...
(units right, units up)
The image is 2 units to the right and 8 units down from the original, so the translation vector is ...
(2, -8)
Answer:
(2,-8)
Step-by-step explanation:
(units right, units up)
The midp
Find the midpoint of the segment with the given endpoints.
(9,6) and (-5, - 7)
(Type answer)
Answer:
(2,-1/2)
Step-by-step explanation:
(9+(-5))/2= 2
(6+(-7))/2= -1/2
Problem 3
Please help
Answer:
76
Step-by-step explanation:
angle FGH = 120, angle FGV = 44, and angles VGH and FGV add up to angle FGH. These are the givens. Since VGH + FGV = FGH, then FGH - FGV = VGH. That can be rewritten as 120 - 44 = VGH. 120 - 44 = 76, so VGH = 76
Pls pls pls pls help me i nerd help asap i will give BRAINLIEST!!!!!!
Answer:
y = 2x+4
Step-by-step explanation:
From the graph, we can tell that slope is 2 because if we go up 2 units up from (0,4) which is point Q and then go right 1 unit, the slope is 2. The y intercept is (0,4)
y = mx + b
m --> slope
b --> y-intercept
y = 2x+4
a model boat travels at 20 cm per second.How many meters will the boat travel in 2 minutes
Answer:
24 metersStep-by-step explanation:
distance = velocity x time
= 20 cm/sec x 1m/100cm x 60 sec/min x 2 min
= 24 meters.
each basket?
Three baskets contain three consecutive odd numbers of apples. There are 105 apples in total. How many apples are
Enter the numbers from least to greatest.
==================================
Explanation:
Consecutive integers are integers like 1,2,3,... or 6,7,8... so they are integers that follow one after another.
Consecutive odd integers are sequences like 3,5,7,... or 21,23,35... meaning they are odd integers following one after another as close as possible.
If x is some integer, then 2x is always even and 2x+1 is always odd
let 2x+1 be that first odd integer
adding on 2 leads to the next odd integer: (2x+1)+2 = 2x+3
adding on another 2 leads to the next one: (2x+3)+2 = 2x+5
The three expressions
2x+1
2x+3
2x+5
represents three consecutive odd integers. They must add to 105
(2x+1)+(2x+3)+(2x+5) = 105
(2x+2x+2x)+(1+3+5) = 105
6x+9 = 105
6x = 105-9
6x = 96
x = 96/6
x = 16
Meaning that
2x+1 = 2(16)+1 = 33 = first odd integer
2x+3 = 2(16)+3 = 35 = second odd integer
2x+5 = 2(16)+5 = 37 = third odd integer
As a check
33+35+37 = 105
which confirms the answer
3x+7=-x+3 will mark brainlest
Answer:
x = -1
Step-by-step explanation:
what is the answer for this
Answer:
4. x = 23 degrees
5. m<A = 33 degrees
m<B = 66 degrees
m<C = 82 degrees
Step-by-step explanation:
4.
(2x + 21) + 90 degrees + x = 180 degrees
(2x + 21) + x = 90 degrees
3x + 21 = 90
3x = 69
x = 23 degrees
5.
2x + x + (2x + 15) = 180 degrees
5x + 15 = 180
5x = 165
x = 33
HELP HELP HELP HELP HELP HELP HELP HELP
Answer:
2.25
Step-by-step explanation:
in order to find the scale factor from A to B you need to divide B by A. 13.5÷6=2.25. 11.25÷5=2.25 and 4.5÷2=2.25.
therefore the scale factor is 2.25 because when you multiply the sides from A by 2.25 you get the length of the side from B.
Answer:
2.25
Step-by-step explanation:
A school sold 51 less children’s tickets than adult tickets for the school play. Adult tickets cost $1.25 and children’s tickets cost $0.75. A total of $129.75 was taken in. How many of each kind were sold?
-pls provide work :)
Answer:
80 adult tickets and 29 children tickets
Step-by-step explanation:
c + 51 = a
51 = a - c
c = a - 51
a*1.25 + c*0.75 = 129.75
a = 100 c = 49 a + c = 161.75
a = 80 c = 29 a + c = 121.75
can someone help? it is for a review for my test and i don’t understand
9514 1404 393
Answer:
use the ASA postulate with alternate interior angles
Step-by-step explanation:
Congruence in general
For proving triangle congruence, there are basically 4 ways to do it. All require at least one side. They are ...
SSS - 3 corresponding sides are shown to be congruentSAS - two corresponding sides and the angle between them are shown to be congruentASA - two corresponding angles and the side between them are shown to be congruent (this one is used here)AAS - two corresponding angles and the side next to (a particular) one of them are shown to be congruentWhen applied to right triangles, the right angle counts as one of the angles, and two sides determine the third, so these can become the LL, HL, HA, LA theorems, where the letters (H, L, A) stand for (hypotenuse, leg, angle), respectively.
__
Approach to this problem
Of course, you're familiar with the relationship between angles where a line crosses parallel lines. Those relationships can help you identify two congruent angles in each triangle. The fact that the triangles share a side between those angles gives you a clue that you will be using the ASA postulate for your proof.
Specifics
1. AB ║ CD and AD ║ BC . . . . given
2. ∠1≅∠3 . . . . alternate interior angles at a transversal of parallel lines are congruent
3. AD≅DA . . . . reflexive property of congruence
4. ∠2≅∠4 . . . . alternate interior angles at a transversal of parallel lines are congruent
5. ∆DAB ≅ ∆ADC . . . . ASA postulate
How do I Invert 6/7? Please help me because I am confused!
Answer:
The invert part of “invert and multiply” means to take the denominator of this big fraction, 1/4, and invert it. In other words, flip it on its head so its numerator becomes its denominator and vice versa. The inverse of 1/4 is therefore 4/1, or just 4.
Step-by-step explanation:
The invert part of “invert and multiply” means to take the denominator of this big fraction, 1/4, and invert it. In other words, flip it on its head so its numerator becomes its denominator and vice versa. The inverse of 1/4 is therefore 4/1, or just 4.
You are the coach of a basketball team that is currently looking for new players. One of the criteria for selection as a player is that the person must be above a particular height. Ideally, you want your next player to be as tall as possible. However, you do not want to rule out any potential players by making the cut-off height too strict. You decide that accepting players within the top 2.5% height bracket will be reasonable for your team. Assume that the height of all people follows a normal distribution with a mean of 70.3 in and a standard deviation of 2.1 in. Calculate the cut-off height (C) that ensures only people within the top 2.5% height bracket are allowed into the team. Give your answer in inches to the nearest inch.C = ______ in
Answer:
The value is [tex]x = 74.416 \ in[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 70.3\ in[/tex]
The standard deviation is [tex]\sigma = 2.1\ in[/tex]
Generally the probability of getting people with height in the top 2.5% is mathematically represented as
[tex]P(X > x ) = P(\frac{X - \mu }{\sigma} > \frac{x - 70.3 }{2.1 } ) = 0.025[/tex]
Generally
[tex]\frac{X - \mu }{\sigma} = Z (The \ standardized \ value \ of X )[/tex]
=> [tex]P(X > x ) = P(Z > \frac{x - 70.3 }{2.1 } ) = 0.025[/tex]
Generally the critical value of 0.025 from the normal distribution table is
[tex]Z_{0.025} = 1.96[/tex]
So
[tex]\frac{x - 70.3 }{2.1 } = 1.96[/tex]
=> [tex]x = 74.416 \ in[/tex]
The cut-off height will be "74.416 in".
Probability:This same probability of an occurrence occurring is defined by probability. There are several real-life scenarios in something we should forecast the result of such an occurrence.
According to the question,
Mean, μ = 70.3 in
Standard deviation, σ = 2.1 in
Now,
The probability of getting people with height be:
→ P(X > x) = P([tex]\frac{X -\mu}{\sigma} > \frac{x-70.3}{2.1}[/tex])
= 0.025
We know,
Z = [tex]\frac{X- \mu}{\sigma}[/tex]
→ P(X > x) = P(Z > [tex]\frac{x-70.3}{2.1}[/tex])
= 0.025
The critical value be:
[tex]Z_{0.025}[/tex] = 1.96
hence,
The cut-off height be:
[tex]\frac{x-70.3}{2.1}[/tex] = 1.96
x = 74.416 in
Thus the above answer is correct.
Find out more information about probability here:
https://brainly.com/question/24756209
17) -8 square root 128
[tex] - 64 \sqrt{2} [/tex]
is the answer
I need help on this problem
Answer:
if you solve it for the t your answer would be: pt+30pte−0.2t=600
but if you solved it for the p your answer would be: p=600t(1+30e−0.2t)
hope it works, sweete
Determine the value of X 12,9, 3
The value of x from the given proportion is 4.
The given numbers 12, 9 and 3 are proportions.
What are proportions?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
To find the value of x:
So, 12:x::9:3
⇒ 12×3=x×9
⇒ 9x=36
⇒ x=36/9
⇒ x=4
Therefore, the value of x from the given proportion is 4.
To learn more about the proportions visit:
https://brainly.com/question/7096655.
#SPJ1
What is 30 + 12 rewritten using the distributive property and the GCF of the addends?
Answer:6
Step-by-step explanation: 6(5+2) because 6 is the greatest common factor
Define the word expression to me. Use proper English and complete sentences.
Answer:
yes
Step-by-step explanation:
(-72)^10 X (-72)^13 =
Which is the equation of a line that has a slope of -2/3 and passes through point -3 -1?
Answer: y= -2x/3 -3
Step-by-step explanation:
Substitute the x and y values from the given coordinate into the slope-intercept formula and solve for b
y = mx + b
-1 = -2/3(-3) + b
-1 = 2 + b
-1 -2 = b
-3 = b The y-intercept is -3
the equation: y = -2x/3 - 3
Which statement about the function is true?
The function is increasing for all real values of x
where
X<-4.
The function is increasing for all real values of x
where
-6
O The function is decreasing for all real values of x
where
x < -6 and where x > -2.
O'The function is decreasing for all real values of x
where
x < 4.
Answer:
2.
Step-by-step explanation:
Answer:
Can you pls answer my last question that i posted?
Step-by-step explanation: