Using an exponential function, it is found that there will be only 3 milligrams remaining in the patient's system after 201 minutes.
What is an exponential function?A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.In this problem, initially, there are 11 milligrams on the patient's system, hence A(0) = 11. After 70 minutes there are 7 milligrams, hence A(70) = 7, and this is used to find r.
[tex]A(t) = A(0)(1 - r)^t[/tex]
[tex]7 = 11(1 - r)^{70}[/tex]
[tex](1 - r)^{70} = \frac{7}{11}[/tex]
[tex]\sqrt[70]{(1 - r)^{70}} = \sqrt[70]{\frac{7}{11}}[/tex]
[tex]1 - r = \left(\frac{7}{11}\right)^\frac{1}{70}[/tex]
1 - r = 0.99356387084
r = 1 - 0.99356387084
r = 0.00643612916
Hence the equation for the amount after t minutes is:
[tex]A(t) = 11(0.99356387084)^t[/tex]
In will be of 3 mg when A(t) = 3, hence:
[tex]A(t) = 11(0.99356387084)^t[/tex]
[tex]3 = 11(0.99356387084)^t[/tex]
[tex](0.99356387084)^t = \frac{3}{11}[/tex]
[tex]\log{(0.99356387084)^t} = \log{\left(\frac{3}{11}\right)}[/tex]
[tex]t\log{(0.99356387084)} = \log{\left(\frac{3}{11}\right)}[/tex]
[tex]t = \frac{\log{\left(\frac{3}{11}\right)}}{\log{(0.99356387084)}}[/tex]
t = 201
There will be only 3 milligrams remaining in the patient's system after 201 minutes.
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A sector of a circle is a region within a circle bounded by two _____ and their intercepted arc.
Answer:
radii
Explanation:
Select all the techniques stravinsky uses to create tension in ritual of abduction.
All the techniques stravinsky uses to create tension in ritual of abduction are; Powerful Accents and An abrupt saxophone trill
What are the techniques used in the excerpt?From the ritual of abduction we see it start from young girls arriving from the river, in single file doing the “Dance of the Abduction”. Then the orchestra creates a frantic atmosphere as they were dancing.
The orchestras' play included frantic scalic passages, with the percussion accentuating and this was widely regarded as one of the most terrifying musical hunts. Thereafter, the high flute trills lead into the next movement.
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Which use of media is most inappropriate for this scenario a speech honoring
The only option that is inappropriate is; A: A video of the congressperson's response to a scandal.
What is the media to be used in the scenario?From the complete question;
Topic is; A speech honoring a well-respected congressperson after his or her death
Audience: Members of Congress, friends and family of the congressperson, the general public.
Now, there are different means of media in communication. However in this case we see that the audience wants to listen to the topic speech honoring a well-respected congressperson after his or her death. Thus, the best medium for this would either be a graphic of his most famous quotes; A timeline of the congressperson's political career; A picture showing the congressperson with the U.S. president.
Thus, the only option that is inappropriate is A video of the congressperson's response to a scandal.
The missing options are;
A. A video of the congressperson's response to a scandal
B. A graphic of the congressperson's most famous quote
C. A timeline of the congressperson's political career
D. A picture showing the congressperson with the U.S. president
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The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?
A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of
5/9
degree Celsius.
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
A temperature increase of
5/9
degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only
The true statement based on the equation is a temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 59 degrees Celsius.
What is temperature?Temperature is the hotness or coldness of the body.
As you can see, the graph's slope is 5/9, which means that an increase of 1 degree Fahrenheit corresponds to a 5/9 increase in Celsius.
As a result, the statement I is correct.
This is the same as saying that a 1 degree Celsius increase is equivalent to a 9/5 degree Fahrenheit increase.
Thus, the correct option is A, I only.
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Because the angles in a rectangle are 90° it is not a parallelogram
What modern technology was originally inspired by leonardo da vinci? diving suits eyeglasses microscopes telescopes
Answer: sorry this is a late response but the answer is (A) diving suits
I hope it helps :)
Explanation: I took the test
Answer:
a
Explanation:
A
How many years would it take to return to atmospheric co2 levels from the year 1800 about 600 gtc
Using Gizmo, It would take about 50 years to return to atmospheric CO2 levels from the year 1800.
How much CO2 is in the atmosphere in 1800?
The trends according of the data shown of atmospheric concentrations of CO2 from 1800 is that it has increased to about 50%.
Note that Atmospheric CO2 is constantly rising ever and it has been the cause of the warming of the global climate as resent studies has shown that it has about 50% increase from 1750-1800 average.
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Within the large rectangle. (i) if 384 ft of fencing is available and the maximum area is desired, what will be the dimensions of the larger, outer rectangle? (ii) what will be the dimensions of the smaller holding pens?
The dimensions of the larger outer rectangle and smaller holding pens are respectively; 96ft x 96ft and 31ft x 96ft
How to maximize Functions?Let the side lengths of the big rectangle be x and y. Thus the area of the big triangle is; A = xy
If the fencing available is 384 ft, then perimeter is 384 ft. Thus;
2x + 2y = 384
y = (384 - 2x)/2
y = 192 - x
Putting 192 - x for y in A gives us;
A = x(192 - x) = 192x - x²
Completing the square to rearrange the equation of A gives us;
A = 9216 - (x - 96)²
If A is to be a maximum, then;
x - 96 = 0
x = 96 ft
y = 192 - 96 = 96 ft
Since we maximised the area of the bigger rectangle , we have maximised the area of the smaller pens. The dimensions of the smaller holding pens will be;
x' = 96 ft /3 = 31 ft
y' = 96 ft
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At a plant that manufactures bars of steel, a machine is used to cut the bars to specific lengths. The machine has a dial that sets the length of the bars to be cut. However, the dial is currently out of alignment and the plant manager is collecting data to assess the situation. The following table shows 8 trials at different dial settings along with the actual output length of the bars that were cut. All measurements are in millimeters
The regression line that can be formed from the information about the plant that manufactures bars of steel will be 2.2043 + 1.0068x.
What is a regression line?It should be noted that a regression line simply means the line that displays the connection between the scattered points in a data set.
In this case, the regression line that can be formed from the complete binformation will be:
b0 = y - b1x
= 8.3 - 1.0068(80.25)
= 8.3 - 80.7957
= 2.2043
Therefore, the regression line is 2.2043 + 1.0068x.
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Choose the best translation: to hug abrazar explicar acompañar nacer
Answer:
abrazar, ik because i know spanish
Answer: it's A. Abrazar
Explanation:
translation :) Good luck on ur edge test!!
__________ are certain beviors that violate socially acceptable behaviors but may not cause harm to others.
Answer:
B
Explanation:
The behaviors that violate socially acceptable behaviors but may not cause harm to others are called conventional transgressions.
What are the conventional transgressions?
Conventional transgressions are defined by their consequences for the social order. Children and adults generally have moral transgressions that are more serious than conventional transgressions. For example, talking in class, dressing in opposite clothes.
From the above assertion, it is clear that option B, conventional transgressions, is the correct answer.
15.1 defining and evaluating a logarithmic function
Answer:
The analysis found that changes in persistent wind patterns can lead to large changes in net precipitation that can overwhelm the “wet gets wetter, dry gets drier” response. The authors also report that contrasts in net precipitation between regions increase by 2% to 5% with each 1°C warming of global temperature
Explanation:
.
Two surfaces are called perpendicular at a point of intersection if their normal lines are perpendicular at that point.
Two surfaces are called orthogonal if it is perpendicular at a point of intersection if their normal lines are perpendicular at that point.
What is an orthogonal surface?Surface families that are mutually orthogonal. In three dimensions, up to three families of surfaces can be orthogonal.
Orthogonal planes are the most basic example of three orthogonal surfaces in three dimensions, but three confocal conic surfaces are also mutually orthogonal.
Thus, the correct option is orthogonal
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The growth of the plants that the animal used for food could not keep up with the needs of the population. There was so little food for the animals, the population declined. How does this relate to overpopulation?
Answer:The number of animals greatly exceeded the carrying capacity, destroying the food sources and causing the population to decline.
ALSO
Overpopulation means that there are too many members in the population and that in the end, this will severely hurt their chances for survival.
Explanation:
Carbon dioxide is released into the atmosphere by all of the following except the
Carbon dioxide is released into the atmosphere by all of the following except the depletion of the ozone layer.
What is carbon dioxide?Carbon dioxide (CO2) is a greenhouse gas composed of two atoms of Carbon bonded to an atom of Oxygen.
This gas (carbon dioxide) can be released in huge amounts by burning fossil fuels or during biological respiration.
The greenhouse gases can increase global warming by trapping the heat on the Earth's surface.
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Choose the best answer. which cognate has nothing to do with the medical system? delicioso doctor inyección hospital
The cognate that has nothing to do with the medical system is delicioso.
What is a cognate?A cognate is known to be a kind of word that is linked to its root linked to another word.
Note that Delicioso is a Spanish word that mean delicious and it has nothing to do with the medical system.
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Mitochondria lysosomes and ribosomes are examples of
Answer:
Organelles
Explanation:
Mitochondria, Lysosomes, and Ribosomes are all organelles in a cell
Find the diameter and radius of a circle with the given circumference. round to the nearest hundredth.
The diameter and radius of a circle with circumference of 36 meters are 11.46 meters and 5.73 meters respectively.
How to find diameter and radius of a circle using circumference?circumference of a circle is the perimeter of a circle. Therefore,
circumference of a circle = 2πr
where
r = radiusTherefore,
36 = 2 × π × r
36 / 2 = πr
18 = πr
r = 18 / 3.14
r = 5.73248407643
radius = 5.73 meters
radius = diameter / 2
Therefore,
diameter = 2 × 5.73 = 11.46 meters
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The attraction between water molecules and a na+ ion or a cl- ion occurs because water molecules are —
Water molecules are polar (positive charge zones and negative charge zones) this makes the attraction of a na+ ion or a cl- ion to occur.
How are the water molecules composed?This class of molecules that have a distribution of charges are called polar and, consequently, form bonds called hydrogen bonds with other molecules.
These molecules have a permanent dipole moment, that is, they have a structure called dipolar (two poles), this arrangement gives water great power to dissolve substances within it.
Therefore, we can conclude that water molecules are polar (positive charge zones and negative charge zones) this makes the attraction of a na+ ion or a cl- ion to occur.
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What is the percentage charged each month on purchases charged to the credit card account called?
A lie detector test is not really accurate claim or counterclaim
Answer:
COUNTERCLAIM.
Explanation:
IM CORRECT PLS MARK BRAINLIEST
Lie detectors only detect your heartbeat speeding up; they do not actually detect falsehoods.
What is a Lie detector?
While a subject is responding to a sequence of questions, a polygraph test measures and records the subject's physiological responses. The physiological reactions can be carefully examined to reveal deception.
According to research, the most recent computerised polygraph testing methods are 98% accurate. To reach this degree of accuracy, a number of crucial characteristics are crucial.
The polygraph is still used to investigate criminal activity and is occasionally used to screen potential workers for government agencies.
Choose the best spanish word to complete the sentence. marisol y daniela __________________en la escuela. estoy estudiando está estudiando están estudiando es estudiando
The correct Spanish word to complete the sentence here is 'Marisol y Daniela están estudiando en la escuela'.
What does the Spanish ver 'estudiar' mean?The Spanish verb 'estudiar' in English means 'to study' and in this case, the conjugation ends in 'án' ('Ellos' personal pronoun).
In English, this Spanish sentence means 'Marisol and Daniela are studying at the school'.
In conclusion, the Spanish word to complete this sentence is 'Marisol y Daniela están estudiando en la escuela'.
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Answer:
c) están estudiando
Explanation:
What is the function written in vertex form? f(x) = 5(x + 4) – 80 f(x) = 5(x + 8) – 80 f(x) = 5(x + 4)2 – 80 f(x) = 5(x + 8)2 – 80
Answer:
none of the above
Explanation:
Hey there!
None of these equations are in vertex form
The equasion for vertex form is
y = a(x - h)^2 - k
Answer:
f(x) = 5(x + 4)² - 80
Explanation:
took the test on edge
The chief purpose of probability sampling is to be able to select
A sample whose statistics will accurately portray an unknown population parameter.
The charge on a nucleus which has 8 protons and 8 neutrons is ___.
Answer:
0
Explanation:
The charge is neutral since the number of protons and neutrons is the same.
A 6 v radio with a current of 2a is turned on for 5 minutes. Calculate the energy transferred in joules
Answer:
E=0.04Joules
Explanation:
Choose the best spanish word to complete the sentence. Yo ____________la lección. Comprendí comprendió comprendiste comprendimos
Answer:
comprender
Explanation:
I ____________the selection. I understood I understood I understood we understood
Answer: A. comprendí
Explanation: On Edge!!
Lesson 6 homework practice use the pythagorean theorem answer key
Pythagorean theorem should be used to determine the length of any of the three sides of a right-angled triangle.
What is Pythagorean Theorem?Pythagorean theorem can be defined as a fundamental mathematical equation in Euclidean geometry and it can be used to determine the length of any of the three (3) sides of a right-angled triangle.
Mathematically, Pythagorean's Theorem is given by this formula:
c² = a² + b²
Where:
c is the hypotenuse.a is the adjacent side.b is the opposite side.For example:
c² = 3² + 4²
c² = 9 + 16
c² = 25
c = √25
c = 5 units.
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Put the following gulf war events in the correct time order brainly
Events of Gulf War as below:
The Gulf War was fought in 1990. The conflict occurred between two oil producing countries Iraq and Kuwait. Iraq and Kuwait are neighboring countries.
What is War?The Iraqi army invades Kuwait to obtain his oil reserves and increase Iraqi power in Middle East. Thus as a result of the conflict the Kuwait was effected and its citizens and economy affected as a result. The currency (Kuwaiti Dinar) was also dropped at a lower rate.
The US and allies responded and push back Iraqi army from Kuwait.
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Using the performance planner on a monthly basis allows you to optimize which two aspects of an account? (choose two.)
Using the performance planner on a monthly basis allows one to optimize two aspects of an account, which are bid and budget.
What is a performance planner?The performance planner is a tool which helps to obtain the best bids and mean monthly budget around all the campaigns.
The objective of a performance planner are:
Enhance the conversation number to achieve any upcoming spend premise. Helps to obtain the best bids and mean monthly budget.Provide the chance to get the benefit of seasonality opportunities.Provides new possibilities to enhance the sales through ad and campaigns.Hence, using the performance planner on a monthly basis allows one to optimize two aspects of an account, which are bid and budget.
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