Using an exponential function, it is found that 0.08 ml of the will be in the body in 30 hours.
The amount of a decaying substance is modeled by an exponential function in the following format:
[tex]A(t) = A(0)e^{-kt}[/tex]
In which:
A(0) is the initial amount.k is the decay rate, as a decimal.In this problem, the half-life is 6 hours, which means that [tex]A(6) = 0.5A(0)[/tex], and this is used to find k.
[tex]A(t) = A(0)e^{-kt}[/tex]
[tex]0.5A(0) = A(0)e^{-6k}[/tex]
[tex]e^{-6k} = 0.5[/tex]
[tex]\ln{e^{-6k}} = \ln{0.5}[/tex]
[tex]-6k = \ln{0.5}[/tex]
[tex]k = -\frac{\ln{0.5}}{6}[/tex]
[tex]k = 0.11552453009[/tex]
Hence:
[tex]A(t) = A(0)e^{-0.11552453009t}[/tex]
2.5 ml injection, hence [tex]A(0) = 2.5[/tex]
After 30 hours, we have to find A(30), hence:
[tex]A(t) = 2.5e^{-0.11552453009t}[/tex]
[tex]A(30) = 2.5e^{-0.11552453009(30)}[/tex]
[tex]A(30) = 0.08[/tex]
0.08 ml of the will be in the body in 30 hours.
A similar problem is given at https://brainly.com/question/16984805
An angle measures 36º. What is the measure of its supplement?
Answer:
144° is the correct answer
sumpplement (angles that adds up to 180°)
: 180°-36°=144°
In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Arun sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below. 128 visitors purchased no costume. 3 visitors purchased exactly one costume. 5 visitors purchased more than one costume. Based on these results, express the probability that the next person will purchase exactly one costume as a fraction in simplest form.
Answer:
3/136
Step-by-step explanation:
128 + 3 + 5 = 136
= 3/136 (simplest form)
Hilary measured the depth of the snow in her front yard for 7 days. An equation for Hilary's data is y = − 0.5 x + 8 . Let x represent the number of days, and y represent the depth of the snow in inches.
Answer:
4.5 inches
Step-by-step explanation:
Given:
y = -0.5x + 8
Where,
x = the number of days
y = the depth of the snow in inches
Find y when x = 7
y = -0.5x + 8
= -0.5(7) + 8
= -3.5 + 8
= 4.5
y = 4.5 inches
The depth of the snow in Hillary's front yard for 7 days is 4.5 inches
PLZZZZZZZZZZZZ
She had a coupon for 15% off. The tax rate was 7.75%. If the subtotal was $35, how much money did Ms. Morel actually pay in total (after the discount and tax)? *
Answer:32.05
Step-by-step explanation:
SO after tax the total would be $37.71.With original price $37.71 and 15% discount,
Price after discount: $32.05
You saved: $5.66
Find the distance between (-7, -2) and (13, -23)
Answer:
5,030?
Step-by-step explanation:
Please help!
Three days a week after school, Sarah runs 2.2 miles each day. This week, Robert ran of the total d that Sarah ran. Also this week, Brooke ran 110% of the total distance that Sarah ran. What is the mea distance that each person ran this week?
A. 1.308 miles
B. 3.925 miles
C 5.995 miles
D. 17.985 miles
Answer:
c
Step-by-step explanation:
cvvvbbnh
The solution of the quadratic equation 3x^2=4x is written by a student as the following: According to you, is this students solution correct or not? Explain your answer with reasons?
Solution:
Step 1:3x2 = 4x
Step 2: 3xx = 4x
Step 3:3x = 4
Step 4: x = 4/3
What is the fraction for 4.675?
Answer:
187/40
Step-by-step explanation:
have a nice day!
The fraction for 4.675 is 187/40 or 4 27/40
3. Graph the following exponential function and
label the asymptote. (9 pts)
y = - 3(2)
(x, y)
-2
-1
X
Х
2012
Answer:
y=3(2)
(x:y)
-3-2÷(-2-(-1)
=-5÷2
iq scores are normally distributed with a mean of 100 and a standard deviation of 15. What percentage of people have an IQ between 130 and 100 a)13.5% b)47.5% c)95% d)27%
Answer:
"approximately 47.%"
Step-by-step explanation:
Using the statistical function normalcdf( on my old TI-38 calculator:
normalcdf(100,130, 100, 15) returns the fraction 0.477,
so the final answer here is "approximately 47.%"
What equation will you use to solve this problem.
Answer:
The answer is D! Sorry if I get the answer wrong.
Step-by-step explanation:
Please answer this for me correctly. THANK YOU!!
Answer:
The answer is <MQL.
What is £10-2x £1.44
I think the answer is 7.12
The length of a rectangle flower bed is 5ft longer than its width. A sidewalk with a width of 3ft surrounds the bed. If the total area of the bed and sidewalk is 546ft^2, what are the dimensions of the flower bed ?
Answer:
[tex]W=15ft[/tex]
[tex]L=20ft[/tex]
Step-by-step explanation:
From the question we are told that:
Length of Bed [tex]L=5+W[/tex]
Width of sidewalk [tex]W_s=3ft[/tex]
Area of the bed and sidewalk [tex]A_t= 546ft^2[/tex]
Generally the equation for Area of the bed and sidewalk[tex]A_t[/tex] is mathematically given by
[tex]Area=L*B[/tex]
[tex]A_t=((3+3)+L)*((3+3)+W)[/tex]
Therefore
[tex]546=((3+3)+(5+W))*((3+3)+W)[/tex]
[tex]0=((6+(5+W))*((6)+W)-546[/tex]
[tex](11+W)*(6+W)-546=0[/tex]
[tex]W^2+17B-480=0[/tex]
Solving the Quadratic Equation
[tex]W=15ft[/tex] (Using only positive root)
Generally the Length L is mathematically given by
[tex]L=5+15[/tex]
[tex]L=20ft[/tex]
Ming says that 0.24 > 14 because 0.24 = 24. Which best explains Ming's error?
24 < 14
0.24 = 24 tenths, not 24
Cannot compare fractions and decimals
0.24 = 24 hundredths, not 24
Answer:0.24 = 24 hundredths, not 24
Step-by-step explanation:
I need help really fast !!.
Answer:
Hello! Your answer would be, C)
Step-by-step explanation:
Hope I helped! Ask me anything if you have more questions! Have a nice mourning! Hope you make an 100%! -Amelia♥
what is the area of the triangle.
Answer:
A=hbb= 2
Step-by-step explanation:
your welcome plz brainlist
Answer:
21.75u2
Step-by-step explanation:
first use pythag for this
use rule c2=b2+a2
reverse the rule so that
b2=c2-a2
b2=100-81
b2=19
b=4.35
how u got the height of the triangle
use formula bh/2
10x4.35/2
=43.5/2
=21.75u2
make sure answer is in degrees.
sin^-1(sin 17°)
Answer:
uhm 0 degrees
Step-by-step explanation:
The value of the inverse trigonometric expression sin⁻¹(sin 17°) will be 17°.
What is inverse trigonometry?Simply put, inverse trigonometric operations are the opposites of the fundamental trigonometric parameters sine, cosine, secant, cosecant, tangent, and cotangent.
The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The inverse trigonometric expression is given below.
⇒ sin⁻¹(sin 17°)
We know that the value of sin⁻¹(sin θ) is θ.
Then the value of the inverse trigonometric expression will be
⇒ sin⁻¹(sin 17°)
⇒ 17°
Thus, the value of the inverse trigonometric expression sin⁻¹(sin 17°) will be 17°.
More about the inverse trigonometry link is given below.
https://brainly.com/question/20595059
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The graph shows two lines, A and B.
A graph is shown with x- and y-axes labeled from 0 to 6 at increments of 1. A straight line labeled A joins the ordered pair 2, 6 with the ordered pair 6, 2. Another straight line labeled B joins the ordered pair 0, 3 with the ordered pair 4.5, 6.
Part A: How many solutions does the pair of equations for lines A and B have? Explain your answer.
Part B: What is the solution to the equations of lines A and B? Explain your answer.
Answer:
(3, 5)Step-by-step explanation:
See attached
Part AThere is one solution as lines intersectPart BSolution is the intersection point, which is (3, 5)Answer:
Part A: There is one solution because the intersect point is the answer and there is only one intersect point.
Part B: The solution is (3,5) because (3,5) is the intersect point for the equation and the answer is going to be the intersect point.
Step-by-step explanation:
Um..Please help me with this...
Answer:
2,1 4,2 6,3 8,4 10,5 12,6 14,7 16,8 18,9 20,10 etc.
Step-by-step explanation:
Expand and simplify (x – 2)(2x + 3)(x + 1)
Answer:
Step-by-step explanation:
(x-2)(2x+3)(x+1)
=x(2x+3)-2(2x+3)(x+1)
=(2x^2+3x-4x-6)(x-1)
=(2x^2-x-6)(x-1)
=2x^2(x-1)-x(x-1)-6(x-1)
=2x^3-2x^2-x^2+x-6x+6
=2x^3-3x^2-5x+6
( x - 2 )( x + 1 )( 2x + 3 ) =
( x^2 - x - 2 )( 2x + 3 ) =
2x^3 - 2x^2 - 4x + 3x^2 - 3x - 6 =
2x^3 + ( -2 + 3 )x^2 + ( - 4 - 3 )x - 6 =
2x^3 + x^2 - 7x - 6
A rectangle has a length of 2 m and a width of 40 cm what is the perimeter of the rectangle ( show your work)
Answer:
0.05 im pretty sure to my calcutor
Step-by-step explanation:
quick please
7.find the area of the shaded region of the rectangle:
Answer:
6x+2
-2x+1
=
4x+1
just find the area of each and subtract the non-shaded one from the shades area.
Need help !
Is it linear , quadratic, exponential
Answer:
Exponential
Step-by-step explanation:
So lets look at the table.
When x = 1, y = 3
When x = 2, y = 9.
Hmmm, this doenst seem like x+number=y. It doesnt seem like a quadratic, where the values go up, then down, then up again. Or vise versa.
So this rules out linear and quadratic, for the x doesnt change by a constant, or change the direction of y.
This leaves exponential or none of the above.
When x = 3, y = 27
When x = 4, y = 81
This seems like a exponent, since:
3 to the first power is 3
3 to the second power is 9
3 to the third power is 27
and 3 to the fourth power is 81
Answer:
exponential function
Hope this helps! ;)
Kayla has a bowl of beads that contains 42 yellow beads, 28 green beads, 12 white beads, and 18 red beads. She randomly draws a bead from the bowl.
The probability of Kayla not drawing a yellow or a green bead is ______%. The probability of Kayla drawing a red or a green bead is _______%.
[tex]\huge\pink{Answer}[/tex]
7/10 and 23/50
Answer:
1. 30%
2.46%
Step-by-step explanation:
The probability of Kayla not drawing a yellow or a green bead is 30 %. The probability of Kayla drawing a red or a green bead is 46 %.
Correct for plato! :)
The dimentionsof the rectangular prisim shown are given im centameters what is the volume of the prism
Complete question :
The dimensions of a right rectangular prism are 1.5 cm, 0.5 cm and 2. 25 cm.
What is the volume of the prism?
A. 0.75 cm
B. 1.6875 cm
C. 3.375 cm
D. 4.25 cm
Answer:
1.6875 cm³
Step-by-step explanation:
Given the dimension :
1.5 cm by 0.5 cm by 2.25 cm
The volume of a rectangular prism is given by :
Volume = Length * width * height
Volume, V = 1.5cm * 0.5cm * 2.25cm
Volume of prism = 1.6875 cm³
Hence, the volume of the rectangular prism is 1.6875 cm³
The Spanish Club has 40 members, 5 girls and 35 boys. What is the ratio of
girls to boys in the Spanish Club?
O A. 1:4
B. 1:7
C. 7:1
Answer:
B. 1:7
Please give me brainliest, thank you!
Step-by-step explanation:
Information given and needed:
- 40 members
- 5 girls
- 35 boys
Solve:
girls to boys
5 to 35
(You can now simplify)
1 to 7
Answer:
B. 1:7
Answer:
1:4
Step-by-step explanation:
Can anyone help me with this problem
Answer:3^2
Step-by-step explanation:
I think it is 3 with exponent of 3 because if its asking for side length of 9 then 3 x 3=9
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
x=34
Step-by-step explanation:
Again we are given an angle's ( x to be more specific ) opposite side length and the adjacent side length so we will use trig ratio tangent
Recall that tan = opposite over hypotenuse
[tex]tan(x)=\frac{29}{43}[/tex]
* multiply each side by the inverse of tan ( [tex](tan)^-^1[/tex] )
[tex]tan(x)*tan^-^1=x\\tan^-1*\frac{29}{43} =33.99645915\\x=33.99645915[/tex]
Finally we round to the nearest tenth of a degree and get that x = 34
What is the measure of XZ?
A. 36°
B. 144°
C. 72°
D. 18°
Answer:
C.72
Step-by-step explanation:
angle XYZ is an inscribed angle and arc XZ is the arc it intercepts
If you didn't know the measure of an inscribed angle is equal to half the measure of its arc it intercepts or an intercepted arc equals twice the measure of its inscribed angle
Hence, angle XYZ * 2= arc XZ
If Angle XYZ = 36
then 36 * 2 = arc XZ
36 * 2 = 72
hence the answer is C
The measure of arc is 72 degree, the correct option is C.
What is an arc?An arc is formed by two radii and their intercepted part on the circumference.
According to the theorem of arc and subtended angles, the central angle subtended by the arc is double the angle subtended by it on the circumference.
The angle subtended by arc XZ on the circumference is 36 degree.
The angle subtended by the arc at the center is = 2 * 36 = 72 degree.
The arc subtended by the arc at the center of the circle is the measure of the arc.
To know more about Arc
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