14. Given that 16x⁴+ - 4x³– 4b²x² + 7bx + 18 is divisible by 2x + b,
(a) show that b³ - 7b² + 36 = 0,
(b) find the possible values of b.
Answer:
(a) check the explanation
(b) the possible values of b is 6i or -29
Explanation:
Given function;
16x⁴ - 4x³– 4b²x² + 7bx + 18
(a)
factor of the given function = 2x + b
then, 2x + b = 0
x = -b/2
substitute the value of b into the given function;
16x⁴ - 4x³– 4b²x² + 7bx + 18
[tex]16(\frac{-b}{2} )^4 -4(\frac{-b}{2})^3-4b^2(\frac{-b}{2})^2 +7b(\frac{-b}{2})+18=0\\\\b^4+\frac{b^3}{2} -b^4-\frac{7b^2}{2} +18=0\\\\\frac{b^3}{2} -\frac{7b^2}{2} +18=0\\\\multiply\ through \ by \ "2"\\\\b^3-7b^2+36 =0 \ (shown)[/tex]
(b)
b³ - 7b² + 36 = 0
b²(b - 7) + 36 = 0
b²(b - 7) = -36
b² = -36 or b - 7 = -36
b = √(-36) or b = -36 + 7
b = √(-1) x √(36) or b = -29
b = 6i or -29
What causes the wavelength of a particular beam of light change?
Answer:
Wave speed, frequency and wavelength in refraction
Explanation:
Although the wave slows down, its frequency remains the same, due to the fact that its wavelength is shorter. When waves travel from one medium to another the frequency never changes. As waves travel into the denser medium, they slow down and wavelength decreases.
Wave speed, wavelength in refraction and frequency causes the wavelength of a particular beam of light change.
What is wavelength of a light?The wavelength of light is the separation between both the two crests or troughs of the light wave. It is recognized by the Greek letter lambda (). Therefore, the term "wavelength" refers to the distance between the crest or trough of one wave and the wave that follows it.
The number of waves that travel through a single location in a specific amount of time determines frequency, and the distance between two subsequent troughs or crests determines wavelength. As a result of the inverse connection between wavelength and frequency, frequency falls as wavelength increases.
The wave slows down, but because its wavelength is shorter, its frequency doesn't change. Waves' frequency does not alter as they go from one medium to another. Waves slow down and shorten in wavelength when they move through denser media.
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PLEASEEEEEEEEE Help
1. Is the elevation at the red arrow higher or lower than the elevation at the blue arrow?
2. What is the relief between the red arrow and blue arrow?
3. Which satellite image shows the landform featured in this map?
Answer:
HEY DUDE DID YOU GET THE ANSWERS PLEASE TELL MEEEE'
Explanation:
Before the development of isotopic dating methods, scientists estimated the age of the Earth by: ___________
a. estimating eruption rates of volcanoes.
b. comparing rates of change on the Earth's surface today with the geologic record.
c. counting tree rings.
d. determining the time it takes to create fossils like shark teeth.
Counting generations in the bible, comparing rates of change on Earth's surface today with the geologic record, calculating the cooling history of the Earth, estimating evolution rates from the fossil record
Hope it helps!
Characteristics used to describe matter are called
A. physical properties.
O
B. chemical properties.
O
C. both A and B.
o
D. neither A nor B.
Characteristics used to describe matter are called physical properties. Therefore, option A is correct.
What are physical properties?A physical property of matter can be defined as a characteristic of a substance that can be evaluated without changing the identity of the material. For example, silver is shiny metal, that shows malleability, and conducts electricity.
Physical properties can be measured without altering the chemical composition of matter. Physical properties include density, malleability, electrical conductivity, color, solubility, hardness, melting point, and boiling point. There are two kinds of physical properties which are intensive and extensive properties.
Chemical properties can be described by their potential to chemical change by virtue of their chemical composition. The elements, chemical bonds, and electrons are involved in the chemical change.
Physical properties are general characteristics that describe matter. They have characteristics such as shape, size, color, and mass. These characteristics can be observed without changing the identity of the matter.
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Choose the hypothesis of the conditional statement: *
If an animal is a dog, then it is a mammal
O a dog is not a mammal
O an animal is a dog
O a dog is a mammal
O an animal is not a dog
Solve for the value of p.
|(3p+1)°
(p+7)
Answer:
P=43
Explanation:
As, the both angles are linear, so if we add them, we will get 180°.
So, p+7 + 3p+1 = 4p + 8
So, 4p + 8 = 180
So, 4p = 180 - 8
4p = 172
P= 172/4
P = 43
So p+7 + 3p+7 = 43 + 7 + ( 3x43 + 1) = 180
Therefore, p = 43
Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions. Online Content: Site 1 Explain what happened when protesters in Syria stood up against the president. (Site 1)
50 POINTS PLEASEEEE HELP
Answer:
The United States Constitution refers to the powers of the President and the powers of the US Congress. Regarding foreign policy, the President of the United States is the chief diplomat of the United States. He can sign international treaties that later can be ratified by Congress. On the other hand, Congress discusses and comments those treaties and trade agreements and sent it to the President to sign them. Another important function of Congress regarding foreign policy is that only the US Congress can declare war to other nations.
Explanation:
The competence of a stream is affected by everything except
O velocity
water depth
O gradient
water volume
water temperature
The competence of a stream is affected by what?
Answer:
1. The competence of a stream is affected by everything except
water depth.
2. The competence of a stream is affected by:
a. flow velocity
b. slope gradient
c. water volume
d. water temperature, which increases or reduces the water volume.
e. riverbed frictions
Explanation:
Stream competence refers to the ability of a stream to transport a particular size of particle or debris. The "competence" of a river or stream is measured by the largest particles that the river or stream can transport from one point to the next.
Which statement describes a feature of a conic projection? (There is only one correct answer.)
A. Pilots use this projection type.
B. The equator usually serves as the central point.
C. Latitude lines connect at a central point.
D. Conic projections are the most distorted type.
Answer:
the anser is A Pilots use this projection type.
Explanation:
hehe
The statement that can be considered as a feature of a conic projection as regards this question is :A. Pilots use this projection type.
Conic projection can be regarded as map projection whereby there is a projection of an area of the earth on to a cone, and in this case the vertex is been placed above one of the poles.Conic projection are been utilized in mid-latitude zones having an (east–west) orientation. It is been used by a pilot.
Therefore, option A is correct.
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You have always enjoyed leading groups of people and expressing yourself artistically. Which of the following musical careers would fit you best?
conductor
songwriter
classical musician
music therapist
Answer:
conductor
songwriter
Explanation:
you would pick these because they are both very social careers and they are musical. as a conductor you would lead people musically. as a song writer you could share your music with the world or if its smaller your community.
Hope this is what you were looking for!
Answer:
A: Conductor
Explanation:
The shadow economy includes all of the following except..
Question 25 options:
Human trafficking
Government imposed tariffs
Illegal animal trade
Drug trafficking
Answer:
As much i have researched its A human trafficking
During most of the Mesozoic Era, the Earth was ________. A.warmer than present B.about as warm as present C.cooler than present D.experiencing wild temperature fluctuations E.Unclear from the data presented. If you choose this answer explain what you are seeing.
Answer:
A.warmer than present
Explanation:
During most of the Mesozoic Era, the Earth was warmer than present.
This is because during the Mesozoic era the land were far away from water bodies which led to prevalence of deserts while today the land are much more closer to the water bodies. It’s a known fact that water bodies help in the thermoregulation and cooling of the atmosphere.
This is the main and feasible reason why the Earth was warmer in the Mesozoic era than now.
Rainforests are a feature of
the Columbia Basin.
the Olympic Mountains.
O the Puget Lowlands.
O the Willapa Hills.
Answer:
Rainforests are a feature of the Olympic Mountains.
Explanation:
The rainforests are something that is associated with the tropical regions around the Equator. This should not come as a surprise as the vast majority of them are found in this part of the world, but very often it is forgotten that there are other rainforests, outside of the tropics. These rainforests have all very similar characteristics to the tropical rainforests but they are located in the temperate regions in the mid-latitudes.
One such rainforest is found near the northwestern coast of the United States, in the state of Washington, on the Olympic Mountains. These mountains are located just above the coastline, and because they act as a barrier, the constant humidity that comes from the ocean is built up and there is rainfall throughout all of the year. Because there is rain all year round, there is lush vegetation, though it has to be noticed that the amount of plant species is relatively low compared to the tropical rainforests. The animal species tend to be in a higher number than in most of the other biomes in the temperate climates but again much smaller than in the tropical rainforests.
What is the correct answer? Please
Answer:
True
Explanation:
what is coastal landform
Andy’s sandwich consists of a
20-gram piece of cheese, a 60-gram
piece of turkey, and two 30-gram slices of
bread. What is the total weight of
Andy’s sandwich, in kilograms?
Answer: 0.14 kg
Explanation:
20+60+30+30=140 g
140 g =0.14 kg
How would you describe the density of the population in India and
Japan
Answer:
The demographic features of the population of Japan include population density, ethnicity, education level, health of the populace, economic status, religious affiliations and other aspects regarding the population.
Which is the best example for long term movements
A taking a quick trip to the store
B going to school each day
C moving to a new state
D visiting the library after school
How will the polar jet stream most likely affect weather conditions? *
It will cause precipitation
it will make temperatures colder.
It will form a hurricane
It will pull hot air into a region
Answer:
it will make temps colder
Explanation:
Near Guam, volcanoes are about 150 km from the trench. If melting occurs at a depth of 100 km, what is approximately the angle of the subducting slab (to the nearest 5°)?
a. 15°
b. 25°
c. 35°
d. 45°
Answer:
b
Explanation:
PLS HELP ASAP
The map that shows topography is called a _____ map.
political
climatic
physical
population
Answer: physical
Explanation:
Answer:
★ The answer is PHYSICAL
Explanation:
★ The map that shows topography is called a physical map.
suggest two actions to reduce smog.ensure that each action is written and explained in detailed paragraphs.each paragraph must include 10-15 sentences.
Answer:
Explanation:
The Clean Air Act of 1970 and the amendments since then have done a great job in requiring people to clean up the air over the United States. Emissions of the six major pollutants regulated by the Clean Air Act, carbon monoxide, lead, nitrous oxides, ozone, sulfur dioxide, and particulates, have decreased by more than 50%. Cars, power plants, and factories individually release less pollution than they did in the mid-20th century. But there are many more cars, power plants, and factories. Many pollutants are still being released and some substances have been found to be pollutants that were not known to be pollutants in the past. There is still much work to be done to continue to clean up the air.How can air pollution be reduced? Using less fossil fuel is one way to lessen pollution. Some examples of ways to conserve fossil fuels are:
Riding a bike or walking instead of driving.
Taking a bus or carpooling.
Buying a car that has greater fuel efficiency.
Turning off lights and appliances when they are not in use.
Using energy efficient light bulbs and appliances.
Buying fewer things that are manufactured using fossil fuels.
Find the measure of the missing angle.
25°
Answer:23
Explanation:
The Latin word vivere means to live. Based on this which of these is MOST LIKELY the meaning of the word rivere? A) to end life. B) to restore life. C) to withhold life. D) to carry out life
2
Answer:
It's to restore life
Explanation:
Everyone knows that the word revive means to restore a person's life/ restore something to it's former glory.
Find the measure of the missing angles.
102°
What is an erosional coastline?
Answer:
In general, erosional coasts are those with little or no sediment, whereas depositional coasts are characterized by abundant sediment accumulation over the long term. Both temporal and geographic variations may occur in each of these coastal types.
Differentiate normal rain from acid rain. Describe the way each affects the weathering of rock. please I need this answer fast
There was the main difference of the acid and the normal rain. The acid rain was the slowly dissolves rocks and the normal rain are not the dissolves of the rock.
What is rock?
The rock, according to geology, is a part of the solid surface. The rock is the collection of these cemented mineral grains. The rocks are small and bigger. The small rocks are also known as pebbles. The type of natural resource is rock. The rocks are used for making the building.
The influence on the rock differs depending on whether it is acid rain or ordinary rain. Acid rain degrades rocks gradually as a result of chemical interactions between the acids and the ions in the stone. Pure water has a moderately acidic pH of 5.6, whereas acid rain has a pH around 4.2 and 4.4.
As a result, the normal rain from acid rain are the based on the rock breaks.
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Need answer before 7 minutes pass
thanks
I need an answer that is at least 30 words long
⇒ The main purpose of Daylight Saving Time is to:
Answer:
I'd say the main purpose of Daylight Saving Time is that it saves energy. To explain, during Daylight Saving Time, the sun sets one hour later in the evening, so the need to use electricity for household lighting and appliances is reduced.
What does a terminal moraine represent? Group of answer choices the final time that two glaciers come together the end of an ice sheet that is floating in the sea a pile of sediment deposited at the end of the glacier the sharp ends of a jagged ridge formed by glaciers the end of a polished and scratched segment of bedrock
Answer: sediment deposited at the end of the glacier
Explanation:
Terminal moraine can be defined as the moraine that is formed at the end of the glacier. The debris deposit as a big clump in terminal moraine. Different kinds of rocks and minerals can be found at different places in the path of the glacier. The rocks, soil, and sediments can be found in the terminal moraine. Debris accumulate due to abrasion.