HELP!!
The penicillin concentration, in micrograms per milliliter, in the
patient's bloodstream t minutes after the penicillin injection is
t
modeled by the function P defined by P(t) = 20065 . If P
approximates the values in the table to within 10 micrograms per
milliliter, what is the value of b, rounded to the nearest tenth?
Answers
They are inverse of logarithmic equations. The value of b to the nearest tenth is 0.1
Exponential equationsThey are inverse of logarithmic equations. Given the exponential function that modelled the penicillin concentration, in micrograms per milliliter as shown:
\(P(t) = 200b^{\frac{6}{5} }\)
If the value of P(t) is 10, hence;
\(10 = 200b^{\frac{6}{5} }\\\frac{10}{200} = b^{\frac{6}{5} } \\0.05= b^{\frac{6}{5} } \\\)
Take the ln of both sides
ln0.05 = 6/5 lnb
-2.995 = 1.2 ln b
lnb = -2.495
b = e^-2.495
b = 0.08
Hence the value of b to the nearest tenth is 0.1
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Related Questions
Rosalyn is a teacher who plays a review game with her class. The game involves writing each student's name on an identical slip of paper and selecting students at random. Here's the makeup of her class:.
Answers
Answer:
like hw
Explanation:
This year, a company consumed 30 percent
fewer sheets of paper than it did last year. If the
company used 270,000 sheets of paper this year,
approximately how many sheets did it use last
year?
A) 351,000
B) 362,000
C) 378,000
D) 386,000
Answers
explanation: you take 270,000 (the amount of tickets this year) and add 30%
270,000 + 30 percent is 315,000
Answer:
Explanation:
Sheet used this year = 270,000
Sheet used last year = 270,000 + 270,000*30% = 270,000 + 81,000 = 351,000
1) Small organs associated with lymphatic vessels are termed
A) lymph follicles
B) lymph nodes
C) axillary nodes
D) cisterna chyli
Answers
The correct option is B) lymph nodes, small organs related with lymphatic vessels.
Explain the term lymphatic vessels?A tiny tube that travels through lymphatic system carrying lymph (lymphatic fluid) plus white blood cells. called a lymph vessel as well.
Enlarge. Illustration of the lymphatic system's anatomy, including lymph nodes, sinuses, thymus, spleen, including bone marrow. As lymph moves toward larger vessels known as collecting ducts, lymphatic vessels continue to collect as well as filter lymph (at the nodes).An immune system component with the form of a tiny bean. The lymph nodes in the body include lymphocytes, which are white blood cells that aid in the body's defense against disease and infection. They filter chemicals that pass through the lymphatic fluid. All over the body, lymph nodes number in the thousands.To know more about the lymphatic vessels, here
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In the context of the passage, what is the speaker afraid of and how does this impact his ability to make decisions? Do you think there are times when fear can work to someone's advantage? Why or why not? Cite evidence from this text, your own experience, and other literature, art, or history in your answer.
Answers
Answer:
The speaker in the passage is afraid of making the wrong decision when it comes to taking a job offer. This fear has caused him to become indecisive and hesitant, as he weighs the potential risks and rewards of each option. While fear can sometimes be a useful tool in making us more cautious and thoughtful, it can also lead to paralysis and indecision. In my own experience, I have found that fear can help me to carefully evaluate my options and make informed decisions, but only when I am able to manage my fears and not let them overwhelm me. Examples from history and art demonstrate the ways in which fear has both hindered and motivated individuals, highlighting the complex and multifaceted nature of this emotion.
The light dependent reaction of photosynthesis does not include.
Answers
The light reaction of photosynthesis does not include c: glucose synthesis.
ASL:
Thumbs on front shoulders is an example of _________, which must be done properly for a sign to be correct.
a location
a movement
an NMM (non-manual marker)
an orientation
Answers
Thumbs on front shoulders are an example of an NMM (non-manual marker), which must be done properly for a sign to be correct. The correct option is C.
What is an NMM (non-manual marker)?Non-manual markers are signs that are used when speaking to saying something to other people or an audience. They enhance the remaining content, you are saying.
These signs are head tilting, shoulder raising, using of fingers, mouthing, and expressions. Lower body movements and the use of legs, or thighs, are restricted in this language.
Thus, the correct option is C. an NMM (non-manual marker).
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What are some advantages of the 529 college savings plan?
Answers
Answer:
Tax benefits. Investing in a 529 plan has a range of tax benefits. ...
Low Maintenance. ...
High Contribution Limits. ...
Favorable Financial Aid Treatment. ...
Flexibility. ...
Penalty for Non-Qualified Withdrawals. ...
State Income Tax Recapture. ...
Limited Investment Choices.
Eight cakes cost 2. 40. How much do 20 cakes cost
Answers
Answer:
Image result for Eight cakes cost 2. 40. How much do 20 cakes cost
How much should I charge for my cake?
First, estimate how many hours is this cake going to take - 5 hours.
Then, calculate the cost of ingredients - $20.
Next, determine the labor cost - $20 x 5 = 100.
Add utility cost - $5.
Sundry cost (small cost) - $5.
Then, calculate the total cost: 20 + 100 + 5 + 5 = $130.
Explanation:
Answer: 20 + 100 + 5 + 5 = $130.
Explanation:
How does the information in the NASA article best add to a reader’s understanding of Team Moon?
If you answer this question and brainliest I will do it back....
-Lilly Ketchmen <3
Answers
Answer: It gives the reader a better sense of the complex problem solving taking place at mission control. it gives the reader a more detailed sense of the intense emotions being felt at mission control.
Explanation: Hope this helps
true or false
1. The computers of all the five generations have different properties.
Answers
Answer:
The answer to your question is true
h(x)=0.000371(x
2
−1,280x)+152h, left parenthesis, x, right parenthesis, equals, 0, point, 000371, left parenthesis, x, squared, minus, 1, comma, 280, x, right parenthesis, plus, 152
The Golden Gate Bridge is a suspension bridge that consists of two cables hung from two towers of equal height that are 1{,}2801,2801, comma, 280 meters apart. The function above models hhh, the height of each cable above the ground in meters, as it relates to xxx, the cable's horizontal distance from the left tower in meters. What is the height of the towers in meters?
Choose 1 answer:
640
Answers
The height of the towers above the ground is 152 meters.
Procedure - Determination of the height of the towers in the Golden Gate BridgeThe expanded form of the function is \(h(x) = 0.000371\cdot x^{2}-0.47488\cdot x + 152\), a
quick though reasonable approach consists in evaluating the function for \(x = 0\), that is, the horizontal distance with respect to the left tower to determine the height of the each tower of the Golden Gate Bridge.
If we know that \(x = 0\,m\), then the height of the towers is:
\(h(0) = 152\,m\)
The height of the towers above the ground is 152 meters. \(\blacksquare\)
RemarkThe statement is poorly formatted. Correct form is presented below:
The Golden Gate Bridge is a suspension bridge that consists of two cables hung from two towers of equal height that are 1280 meters apart. The function \(h(x) = 0.000371\cdot (x^{2}-1280\cdot x) + 152\) models the height of each cable above the ground in meters, as it relates to the cable horizontal distance from the left tower in meters. What is the height of the towers in meters?
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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
108 is 36% of what number? Write and solve a proportion to solve the problem.
Answers
Answer:
300
Explanation:
108/n = 36/100
36n = 108 x 100 = 10,800
36n/36 = 10,800/36
n = 300.
So, 108 is 36% of 300.
Does anyone knows this?
Answers
Explanation:
D(x) =x⁴-2x³-2
_________
Bronchitis is a condition that’s characterized by coughing and the secretion of mucus. A person with bronchitis has inflamed airways, which makes it hard to breathe. Where does a bronchitis infection start?
A.
brain
B.
heart
C.
lungs
D.
throat
Answers
If the weight of an object on earth is 245 n, what must be the mass of the object?.
Answers
Answer:
128
Explanation:
In what part of the ocean do you find most marine organisms?
Group of answer choices
shallow, coastal waters
fisheries
deep ocean waters
none of the above
Answers
Answer:
shallow, coastal waters is the answer.
all the pupils at the knight school Gawaine le Cur-Hardy was among the least promising. He was tall and sturdy, but his instructors soon discovered that he lacked spirit. He would hide in the woods when the jousting class was called, although his companions and members of the faculty sought to appeal to his better nature by shouting to him to come out and break his neck like a man. Even when they told him that the lances were padded, the horses no more than ponies and the field unusually soft for late autumn, Gawaine refused to grow enthusiastic. The Headmaster and the Assistant Professor of Pleasaunce were discussing the case one spring afternoon and the Assistant Professor could see no remedy but expulsion.
“No,” said the Headmaster, as he looked out at the purple hills which ringed the school, “I think I’ll train him to slay dragons.”
“He might be killed,” objected the Assistant Professor.
“So he might,” replied the Headmaster brightly, but he added, more soberly, “we must consider the greater good. We are responsible for the formation of this lad’s character.”
“Are the dragons particularly bad this year?” interrupted the Assistant Professor. This was characteristic. He always seemed restive when the head of the school began to talk ethics and the ideals of the institution.
“I’ve never known them worse,” replied the Headmaster. “Up in the hills to the south last week they killed a number of peasants, two cows and a prize pig. And if this dry spell holds there’s no telling when they may start a forest fire simply by breathing around indiscriminately.”
“Would any refund on the tuition fee be necessary in case of an accident to young Cur-Hardy?”
“No,” the principal answered, judicially, “that’s all covered in the contract. But as a matter of fact he won’t be killed. Before I send him up in the hills I’m going to give him a magic word.”
“That’s a good idea,” said the Professor. “Sometimes they work wonders.”
6. What is this passage about?
The problems that may arise from fighting dragons
How the educators would change Gawaine’s course of study
The way the Professor and the Headmaster taught about dragons
Giving Gawaine a magic word to help him fight dragons
7. What is the best way to describe Gawaine’s character?
Fearless and excitable
Careless and frigid
Spiritual and careful
Cowardly and apathetic
8. What is the meaning of “his better nature”?
An increased sense of honesty
A man’s ignoble ideas
A desire for propriety
A man’s nobler instincts
Answers
Answer:
6.B
7.D
8.D
Explanation:
6.While some of the other choices are mentioned in the selection, they do not adequately explain what the entire selection is about.
7.Gawaine is said to be tall and sturdy, but would run away and hide at the smallest sign of trouble.
8.“His better nature” is a common way of talking about a person’s deeper character.
Which housing option gives you more freedom and more
responsibility?
Leasing a house
Borrowing a house.
Buying a house.
Housesitting
Answers
Yes its alot to handle financially but you have lots of freedom than leasing or borrowing a house because the landlord/lady might have certain rules like no pets.
What is House sitting?House sitting is a nice job but the responsibility is pretty low. All in all, Owning a house is more freedom and responsibility. House sitting is the practice of asking someone to stay in their home while they are away, frequently in exchange for a set fee.
This can be the case because the house contains pets or needs to have plants watered, or it might be that the homeowner feels more at ease knowing that someone is there in case something goes wrong.
Someone who offers to live in your house while you're away is known as a house sitter.
Therefore, Yes its alot to handle financially but you have lots of freedom than leasing or borrowing a house because the landlord/lady might have certain rules like no pets.
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Nathan has $700 to deposit into two different savings accounts. • Nathan deposits $350 into Account I, which earns 5% simple interest. • Nathan deposits $350 into Account Il, which earns 5% interest compounded annually. o Which account earns more interest at the end of 4 years?
Answers
Not that at the end of 4 years, Account II earns more interest, with a total of $182.88 compared to $70 earned by Account I.
What is the explanation for the above response?To compare the two accounts, we need to calculate the interest earned by each account after 4 years:
• Account I:
Simple Interest = Principal * Rate * Time
= $350 * 0.05 * 4
= $70
• Account II:
Compound Interest = Principal * (1 + Rate/ n)^(n * Time) - Principal
= $350 * (1 + 0.05 / 1)^(1 * 4) - $350
= $182.88
So, at the end of 4 years, Account II earns more interest, with a total of $182.88 compared to $70 earned by Account I. This is because compounding the interest annually allows for interest to be earned on the interest previously earned, resulting in a higher overall return.
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Which of the following demonstrates how Earth systems interact over large periods of time and different-sized spaces?
Answers
Plate tectonics is an example that demonstrates how Earth systems interact over large periods of time and different-sized spaces. (Option A)
How is this so?It involves the movement and interaction of Earth's lithospheric plates,which cover the planet's surface.
Plate tectonics influences various geological processes, such as the formation of mountains,earthquakes, and volcanic activity.
These interactions occur over long periods,shaping the Earth's surface and affecting regions across different spatial scales, from local to global.
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Full Question:
Although part of your question is missing, you might be referring to this full question:
Which of the following demonstrates how Earth systems interact over large periods of time and different-sized spaces?
A) Plate tectonics
B) Geographic Entities
C) Astronomy
D) Biochemical cycles
what does it mean if ur crush calls u his homie?
Answers
friendzone is what it means.
In a democracy, the interests of the few must be elevated above the interests of the many
Answers
Answer:
False
Answers By Blueberry Reed. Copyright 2022
definition of climate change
Answers
Answer:
climate change is the change in the average atmospheric condition over a long period of time..
Answer:
here's your answer
Explanation:
Climate change refers to both global warming driven by human-induced emissions of greenhouse gases which results in large-scale shifts in weather patterns.
Simpler definition:
Climate change is the long-term alteration of temperature and typical weather patterns in a place. Climate change could refer to a particular location or the planet as a whole.
brett learned that his car is better protected from the weather when it has been recently washed and waxed. which best describes the major group of macromolecules that is protecting his car and how it is performing this task?
Answers
Lipids are protecting his car because their nonpolar nature makes them insoluble in water.
What is a lipids and its function?A lipid is any of numerous chemical molecules that are insoluble in water. They serve as energy-storage molecules and chemical messengers and include fats, waxes, oils, hormones, and certain membrane components.Lipids are hydrocarbon-containing compounds that serve a variety of purposes, including energy storage, as structural elements, and even in cell signaling. Lipids and fats play a major role in the human body's homeostatic system.A wax is a straightforward lipid that is an ester of a long-chain fatty acid and alcohol. Alcohol may have between 12 and 32 carbon atoms. Wax is a substance that naturally coats stems and leaves. The plant doesn't lose a lot of water because of the wax.To learn more about Lipid refer,
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Give me a song recommendation
*It doesn't matter what genre*
I like all kinds of music :)
Answers
Answer:
Kill Bill.
Explanation:
Consider the following figure ABDC with diagonal BC. Sides AB and DC are congruent angle A is congruent to angle D and sides AC and DB are congruent
Answers
Quadrilateral ABCD is both a parallelogram and a rhombus.
The figure ABDC with diagonal BC, with the congruent sides AB and DC, angle A is congruent to angle D, and sides AC and DB are congruent is a parallelogram. This is based on the definition of a parallelogram which is a quadrilateral with opposite sides that are parallel and congruent to each other.
Also, opposite angles of a parallelogram are congruent. Therefore, angle A and angle C are congruent. Additionally, angle B and angle D are also congruent because they are opposite angles of a parallelogram.The diagonal of a parallelogram cuts it into two congruent triangles.
Triangle ABD and triangle CBD are congruent triangles, since their sides are congruent, and angles A and D, and angles B and C, are congruent by the given information.
Therefore, their included angles ABD and CBD are also congruent. Because their opposite sides are congruent, quadrilateral ABCD is a rhombus. A rhombus is a parallelogram with all sides congruent. This implies that sides AB, BC, CD, and DA are all equal.
In conclusion, quadrilateral ABCD is both a parallelogram and a rhombus.
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What country did NOT commit acts of aggression during the 1930s?
Japan
Italy
Germany
GReat Britain
Answers
which of the following is the best definition or description for "chromatid"?
Answers
Answer:
A chromatid is one of two identical halves of a replicated chromosome. Following DNA replication, the chromosome consists of two identical structures called sister chromatids, which are joined at the centromere.
In the last sentence of the first paragraph, the author repeats the word "presumably" in order to.
Answers
In the last sentence of the first paragraph, the author repeats the word "presumably" in order to.
Undermine a view that he will go on to dispute in his argumentWhat is Repetition?This refers to the repeated use of a word or phrase in a given sentence or context, usually for dramatic effect.
With this in mind and from the complete text, we can see that the connotative meaning of the word "presumably" to show that what was being said was not certain and this is used to undermine a view that he would go on to dispute in his argument.
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can you think of a possible explanation for the change in the thickness of the ozone layer in the years before the methyl bromide began to produce
Answers
Answer:
Explanation:
Methyl bromide is a fumigant used to control pests in agriculture and shipping. Methyl bromide also depletes the ozone layer. Therefore, along with other countries, the United States has phased out production and consumption of methyl bromide with important exceptions for critical uses as well as quarantine and preshipment.