kristina used synthetic division to divide the polynomial f(x) by x−2, as shown on the table. what is the value of f(2)?
Answers
Synthetic divisions are used to divide polynomials.
The value of f(2) is -11
The divisor is given as:
\(\mathbf{x -2 }\)
Equate to 0
\(\mathbf{x -2 = 0}\)
Solve for x
\(\mathbf{x = 2}\)
So, the value of f(x) when x = 2, is the remainder of the function when divided by \(\mathbf{x -2 }\)
In a synthetic division, the remainder of the division is the digit at the bottom right.
From the division (see attachment), the digit at the bottom right is -11
This means that, the remainder is -11
So, we have:
\(\mathbf{f(2) = -11}\)
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Related Questions
Which religion is being described in this passage? "This religion, which emphasizes detachment from worldly goods, originated in India and missionaries spread it to China, Japan, and other parts of Asia." Question 8 options: Buddhism Christianity Hinduism Islam Judaism Shintoism
Answers
Answer:
Buddhism
Explanation:
1. Suppose a teacher earns a starting salary of $55,000 during the first year. After 10 years of teaching, the annual salary of that teacher is $84, 317.91. Assuming a constant percentage raise each year, what is the percentage increase in salary per year for the teacher? Round to the nearest tenth of a percentage, leaving % OUT of the answer. *
2. If the following series is put into sigma notation with a lower limit of k=1, what would be the expression for the summand(inner formula)? *
tan(3x)+tan(9x)+tan(27x)+...tan (19683x)
Answers
AHHAHAHA Kia
Hahahahah
Morgan opens a savings account that earns simple interest at the rate of 4.5\%4.5%4, point, 5, percent annually. If she initially deposits \$50$50dollar sign, 50 in the account, what is the minimum number of years it will take for her savings to be at least \$68$68dollar sign, 68, assuming she makes no other deposits or withdrawals?
Answers
Answer:
8
Explanation:
On the upper surface of Jupiter’s atmosphere, the attractive force of
gravity is 2.5 times that on Earth. What would a bathroom scale show
if a 50-kg person were weighed on Jupiter?
Answers
A bathroom scale on Jupiter would show a weight of 125 kg for a 50-kg person.
On the upper surface of Jupiter's atmosphere, where the attractive force of gravity is 2.5 times that on Earth, a bathroom scale would show a different weight for a 50-kg person compared to Earth. To calculate the weight on Jupiter, we can use the formula:
Weight on Jupiter = Mass × Acceleration due to Gravity on Jupiter
The acceleration due to gravity on Jupiter is 2.5 times that on Earth, so we can multiply the person's mass by this factor:
Weight on Jupiter = 50 kg × 2.5
Weight on Jupiter = 125 kg
Therefore, a bathroom scale on Jupiter would show a weight of 125 kg for a 50-kg person. It's important to note that this weight measurement is relative to Jupiter's gravity and may not reflect the actual mass of the person.
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find the value of ab
Answers
Answer:
AB = 16 Units
Explanation:
In the given figure, CD is the diameter and AB is the chord of the circle.
Since, diameter of the circle bisects the chord at right angle.
Therefore, AE = 1/2 AB
Or AB = 2AE...(1)
Let the center of the circle be given by O. Join OA.
OA = OD = 10 (Radii of same circle)
Triangle OAE is right triangle.
Now, by Pythagoras theorem:
E. Verb Tenses (10 sentences)
1. By the time the customs officers came, the smugglers,
Linda yesterday.
2. 1 Sw
3. Listen! The doorbell Pi
4. If I knew
5. Dil you
her well. I would speak to her.
call
Georgia last night?
hard, you will pass the test.
10%
Stady
6. If you
7. I didn't sleeh for two days.
Rinking
8. Tom avoids
she usually
10. If he buys a new car, he will sell his old one.
(escape)
(500)
(know)
(call)
(study)
(not/sleep)
(drink)
a party on her birthday? (have)
(sell)
(ring)
Answers
2. I swim every morning to stay in shape.
3. Listen! The doorbell is ringing.
4. If I knew her well, I would speak to her.
5. Did you study hard? You will pass the test.
6. If you don't call Georgia last night, she will be upset.
7. I haven't slept for two days.
8. Tom avoids drinking alcohol.
9. What kind of party will she usually have on her birthday?
10. If he buys a new car, he will sell his old one.
The Motorist: Over the weekend, a motorist was in a car accident. The motorists thigh was cut very badly. After several weeks in the hospital the motorist was free to go. The motorist could move the leg, but lost sensation in the leg. Now, when the motorist steps on something or brushes up against an object, she can't feel it. After about two months, the motorist started to feel some sensation in the leg again.
Answers
The motorist started to feel some sensation in the leg again after two months because new nervous and sensory cells started to regenerate in the thigh region.
Sensory cells and nerve cells are specialized cells responsible for passing information and reacting to stimuli from our environment or surroundings.
When the accident occurred, the motorist would have lost so much blood needed for the active participation of the sensory cells and neurons.
The traumatic accident results in a pathological condition causing the death of neurons and sensory cells.
The dead cells in the thigh region cause the motorist's inability to feel or sense any stimuli in the leg, although he was able to move the leg after the surgery.
Hence, after a period of about two months when the cells start to regenerate, the motorist started to feel some sensation in the leg again.
We can conclude that the motorist started to feel some sensation in the leg again when new nervous and sensory cells started to regenerate in the thigh region.
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From which college can you earn a bachelor's degree?
Answers
Answer:
any collage that can offer you
Answer: any
Explanation:
The FAFSA4caster is used to:
A. file for private financial aid.
B. get an estimate of expected federal financial aid,
C. get an estimate of financial aid given by the college,
D. file for federal financial aid.
Answers
Answer:
B. get an estimate of expected federal financial aid
Explanation:
FAFSA 4 caster is the Federal student aid estimator. It is used to get an estimation of the federal financial aid. Thus, option B is correct.
What is FAFSA 4 caster?FAFSA 4 caster is the way to know the estimated amount of federal student aid an eligible candidate may receive. It is a governmental tool used to receive monetary aid by students.
The applier may receive the aid based on the financial records, assets, and incomes. It is generally availed by the time the student is in middle school.
Therefore, option B. FAFSA 4 caster gives an estimation of the financial funds.
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Question 2(Multiple Choice Worth 5 points)
(02. 05 MC)
In 2022, a study at Get Well Pediatrics found that 20% of its patients were allergic to pet dander. The study also showed that 20% of patients who were allergic to pet
dander tested negative, while 5% of the patients who were not allergic tested positive. The relative frequency table summarizes the data.
Positive Negative Total
Allergic to Pet Dander
16%
20%
Not Allergic to Pet Dander 4%
80%
Total
20%
100%
Determine the ratio of false positives to true positives.
O
O
14
O
113
O
116
4%
76%
80%
17/1/2
0
Answers
The ratio of false positives to true positives from the table is given as follows:
1/3.
How to calculate the ratio?The ratio between two amounts a and b is calculated as the division of amount a by amount b.
The definitions of false positives and true positives for this problem are given as follows:
False positives: Positive test to the allergy, when in fact the patient is not allergic.True positives: Positive test to the allergy, when in fact the patient is allergic.From the table given by the image at the end of the answer, the percentages are given as follows:
False positives: 4%.True positives: 12%.Hence the ratio of false positives to true positives from the table is calculated as follows:
4/12 = 1/3.
Meaning that the first option is correct.
Missing InformationThe table is given by the image shown at the end of the answer.
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the graph shows the ratio of (Federal) Debt to GDP (gray bars indicate a recession)
Based on the graph, explain how the country's rate of GDP growth has compared to its debt growth over time and what the implication is for the debt/gdp ratio.
(Answer must be 200 words max)
Answers
The growth rate of GDP determines a direct relation between debt growth over time and this relation reveals that a 1% point increase in the ratio of government debt to GDP would reduce real GDP growth by about 0.01 percentage point.
What is the Debt-to-GDP ratio?The debt-to-GDP ratio is the metric comparing a country's public debt to its gross domestic product (GDP). By comparing what a country owes with what it produces, the debt-to-GDP ratio reliably indicates that particular country's ability to pay back its debts.
According to the context of this question, a 1% point increase in the ratio of government consumption to GDP leads to a decline in the real economic growth of about 0.1 percentage points, on average. This ratio is useful for investors, leaders, and economists. It allows them to gauge a country's ability to pay off its debt.
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Which of the following is equal to √3 √2?
Answers
The options that are equal to the root √3/2 are options A and C.
How is this so?Given √3/2 is the value.
To Find - The angles for which √3/2 is the value.
Solution -
Sin60° = √3/2
Tan60° = √3
Cos30° = √3/2
Cos90° = 0
Hence, is the value of Sin60° and Cos30°. Options A and C.
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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 is equal to √3/2
(Select one or more answers)
Ans:
sin 60°
tan 60°
cos 30°
cos 90°
How does cultural hegemony influence the formation of American foreign policy?
Answers
Answer:
By exploiting the cultural for more opportunities
Explanation:
how old is stephen curry
Answers
Answer:
35
Explanation:
he was born
Answer:
35 years
March 14, 1988
A fish tank in a pet store was less than half full of
water when a worker turned on a hose to fill the
tank at a constant rate. After the hose was on for
5 minutes, the tank was exactly half full. After
the hose was on for 30 minutes, the tank was
three-quarters full. How many minutes did it take
after the hose was turned on for the tank to be
completely filled with water?
Answers
During 25 minutes, it got filled 1/4 more (3/4 - 1/2)
So it would take 100 minutes to completely fill it
Transitions show us how __________ ___________ are __________ to one another.
Answers
Use this sentence: On a summer day, the heat of the land heats the air, causing it to rise and spread before cooling over the ocean, creating a
breeze.
How is thermal energy transferred when this happens?
(1 point)
through radiation
Othrough refraction
through convection
O through conduction
Answers
Thermal energy may be transferred from one place to another in solids, liquids, or gases by conduction, convection, or radiation. Convection allows heat to be transferred from water to air and then distributed throughout the ocean. (Option C)
What is Convection?Convection currents are formed by radioactive decay in the core when heat rises and falls inside the mantle. The plates are moved by convection currents. Plates migrate apart where convection currents separate near the Earth's crust. Plates migrate towards each other when convection currents converge.
Temperature gradients form a specific fluid, the difference in densities of which causes convection currents. This suggests that convection currents play an important part in fluid circulation.
These currents aid in the transport of heat from one location to another by utilizing the mass motion of a specific fluid such as water, air, or even molten rock.
This heat transfer function of convection currents contributes to the Earth's ocean currents, atmospheric weather, and general geology. Convection currents in the Earth's mantle are considered to be the driving force behind the tectonic plates.
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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 is the likely source of pollution if there are frequent algal blooms in a river?
Group of answer choices
warm water discharge from nearby factories
fertilizer runoff from nearby farms
acidification of the water from acid rain
oil discharge from a nearby oil rig
Answers
Answer:
Fertilizer runoff from nearby farms
Explanation:
Fertilizer contains an excess of nutrients, including phosphorus. When fertilizer runs into nearby waterbodies (such as rivers), algae uses these nutrients as a food source, and an algal bloom will occur due to that large sum of available nutrients.
if x/y -4 = 2 + 1/y then what is equivalent to x, in terms of y
Answers
Camila juegas en un sastre y hace ropa para su muñeco preferido sí que trazó en una cuadrícula varios patrones una camisa un pantalón un par de calcetines y hombros y para todas las prendas se requiere de dos partes iguales responde
Answers
Answer:
De Verdad
Explanation:
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.
(9+33-6)divided 6-3 to the power of 2 pemdas
Answers
6 - 9
= -3
Ways in which schools could promote social entrepreneurship to counteract unemployment.
Answers
1. Focus on case studies: It should be noted that case studies spur the curiosity of the students as they deal with business situations. This can help students in having an interest in entrepreneurship.
2. Partner with Businesses: Schools should partner with companies. In this case, the students can be sent to work in such companies as interns. This is useful for the students to have an insight into how entrepreneurship works as they are faced with real life situations. Also, being in the company of entrepreneurs and other employees in the company is vital to their growth.
3. Business executives can also be invited to schools to speak to the students and explain to them the importance of entrepreneurship.
4. Lastly, the curriculum that's used in schools should depict real life situations.
what are negative effect of gender base violence
Answers
Answer:
Gender-based violence threatens a person’s physical and psychological integrity
Everyone has the right to feel safe and secure, and where this is not present, people’s ability to function in the family, community and society is likely to be impaired, as self-realisation and development are affected. Gender-based violence is an obstacle to the realisation of every person’s well-being and to their right to fulfilment and self-development
Explanation:
Answer:
gender based violence threatens lives
I drove past the coffee shop, where I usually order a large latte and muffin, on my way to meet someone for an interview.
Answers
Answer:
good for u
Explanation:
Find the probability of getting 6 or more girls in 8 births.
Answers
Answer:
The probability of getting a girl is 12 . The probability of getting 6 girls is therefore (12)6 . Since we have 6 girls, we also need to find the probability of getting 2 boys, which is (12)2 . There are (86)=28 ways to get 6 girls out of 8 children.
Explanation:
Answer:
Explanation:
P(X > 6) = ?
P(X > 6) = P(X = 6) + P(X = 7) + P(X = 8)
P(X > 6) = 0.118 + 0.035 + 0.004
P(X > 6) = 0.157
Thus the probability of getting 6 or more girls in 8 births is 0.157
The monthly subscription fee for a podcast hosting service
is $5.00. The service allows the subscriber to upload up
to 50 megabytes of data each month, but it charges an
additional fee for each megabyte
of data in excess of 50.
For one month, Jeffrey was billed $5.35 for uploading
55 megabytes of data. How much does the hosting service
charge for each megabyte of data in excess of 50 ?
Answers
anyone has last minute tips for the SAT on saturday?
Answers
Answer:
Start early. We know that ideally you'd like all the time in the world to prepare for a test, but that's not a luxury high school students have. ...
Study with Official SAT Practice on Khan Academy. ...
Take a full-length practice test. ...
Pay attention in class. ...
Know what to expect on test day.
Explanation:
Which of the following qualities made him loved by children?
Answers
Answer:
No specific features were provided in the question. Therefore, I cannot answer for sure which of them made him dear to the children. Please provide more context for an accurate answer.