By using Venn diagram method, the smallest and the largest number of students that intend to study both French and German are 21 and 49 students respectively.
Given that Larousse Language College will have 201 students in the Sixth Form next year. And between 70% and 75% of the students intend to study French. Also, between 40% and 50% of the students intend to study German.
If all students study either French or German or both, the least number of students that will study French will be
70/100 x 201
140. 7
Which means 141 students
The least number of students that will study German will be
40/100 x 201
80.4
That means 81 students
Also, the maximum number of students that will study French will be
75/100 x 201
150.75
That is 150 students ( Because approximation can't be done twice)
And the maximum number of students that will study German will be
50/100 x 201
100 students ( Because approximation can't be done twice)
a.) The smallest number of students that intend to study both French and German can be calculated as followed
Let the smallest number be x
141 - x + x + 81 - x = 201
222 - x = 201
- x = 201 - 222
-x = - 21
x = 21
b.) The largest number of students that intend to study both French and German can be calculated as followed
Let the largest number be y
150 - y + y + 100 - y = 201
250 - y = 201
- y = 201 - 250
-y = - 49
y = 49
Therefore, The smallest and the largest number of students that intend to study both French and German are 21 and 49 students respectively.
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The global positioning system (GPS) is a system of satellites that provides precise velocity and positional information for all locations on Earth. Describe how GPS data are used in the study of certain animals. (0.5 point) Think about how wild animals can be tracked over great distances.
Answer:GPS tracking is the newest technology being used to track wildlife. In GPS tracking, a radio receiver, not a transmitter, is placed on the animal. The radio receiver picks up signals from special satellites. The receiver has a computer that then calculates the location and movement of the anima
Explanation:
GPS data is extensively used in the study of certain animals to understand their movements, behaviors, and habitats.
Researchers attach GPS tracking devices to animals such as migratory birds, marine mammals, and large terrestrial mammals. These devices record the animal's location at regular intervals, allowing scientists to track their movements over time.
By analyzing GPS data, researchers can identify migration routes, feeding areas, and breeding grounds of the studied species.
This information is vital for conservation efforts, as it helps identify critical habitats and migration corridors, assess the impact of human activities, and inform effective management strategies to protect these animals and their ecosystems.
GPS technology revolutionized the understanding of animal behavior and contributed significantly to wildlife conservation efforts.
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How many years is it in college for both botany, cooking, and mechanic's together?
Answer:
It can take anywhere from 6 years to 10 years. Depends on the university.
In most unis:
Botany - 4 years
Culinary school - 4 years
Mechanical trade - 2 years
Hope that helps
What statement is incorrect about natural selection
Answer: What statement is incorrect about natural selection
Explanation: Human genetic modification.
5.During the process of condensation water in ________ state changes to ________ state.
Explain four reasons of preserving farm produce
The following are some of the reasons we preserve our food.
Not to lose it freshness
.To prevent contamination and infection
.To prevent food from smelling
.To keep insect and other pest away from the food.
Keeps farm produce in good condition for planting in the next season
.To keep food for a long period of time.
Explanation:
One- Not to lose it freshness.
Two- To prevent contamination and infection.
Three- To prevent food from smelling.
Four- To keep insect and other pest away from the food.
which factor contributes least to the rate at which a stream deposits sediment?
Solution
To determine the angle of the velocity, we use the following equation.
Tan θ = Vertical velocity ÷ Horizontal velocity
As the particle moves from its initial position to its final position, its vertical velocity decreases at the rate of 9.8 m/s each second. During this time its horizontal velocity is constant. To determine the time when the angle is 45˚, we need to determine the object’s vertical velocity at this angle. Let’s determine the vertical and horizontal components of its initial velocity.
Vertical = 50 × sin 60˚, Horizontal = 50 × cos 60˚ = 25 m/s
Since horizontal velocity is constant, let’s put 25 m/s and 45˚ into the tangent equation.
Tan 45 = Vertical velocity ÷ 25
Vertical velocity = 25 m/s
To determine the time for the vertical velocity to decrease from its initial value to 25 m/s, use the following equation.
vf = vi – a × t
a = 9.8
25 = 50 × sin 60˚ – 9.8 × t
t = (25 – 50 × sin 60˚) ÷ -9.8
This is approximately 1.83 seconds.
What is the percent rate of increase for the exponential function f (x) = 2.5(1.3)^x
Answer:
f(x) = d/ dx (2.5x1.3)
f(x) =2.5×d/dx(1.3*)
f(x) =5xIn 13/10 x 13*/2×10*
So the answer is
f(x)=5•IN13/10•13*/2•10*
That's the correct answer I see in my book
f(x)=5•IN13/10•13*/2•10* is the percent rate of increase for the exponential function.
What is an exponential function?The formula for an exponential function is f (x) = ax, where x is a variable and an is a constant that serves as the function's base and must be bigger than 0. The transcendental number e, or roughly 2.71828, is the most often used exponential function basis.
Y=abx y = a b x is the fundamental exponential function equation, where a denotes the y-intercept and b the growth factor.
When b > 0 and b 1, an exponential function has the form f(x) = bx. The base is b, and the exponent is x, just like in any exponential expression. The development of bacteria is an illustration of an exponential function. Some germs multiply by two per hour.
f(x) = d/ dx (2.5x1.3)
f(x) =2.5×d/dx(1.3*)
f(x) =5xIn 13/10 x 13*/2×10*
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I NEED THIS PLEASE 4x4
What are the advantages and disadvantages of two-wheeled transportation?
edge2021
Bryan takes out an unsubsidized loan of $3,000 with an interest rate of 5%/per year. How much will he owe at time of graduation?
$3,000
nothing
$3,600
$15,000
Answer:
Explanation:
C
5%3000 = 150
150 x 4 = 600
3000 + 600 = 3600
Answer: $3,600
Explanation:
3,000 * 0.05 = 150
150 * 4 = 600
3,000 + 600 = 3,600
Which of the following identifies an error in Mathus' theory?
A. A famine caused food production to fall instead of grow as Malthus predicted.
B. The population grew much more than Malthus predicted.
C .A war reduced the population size instead of growing as Malthus predicted.
D. Food production grew much more quickly than Malthus predicted.
E. The population remained steady and did not grow as Malthus predicted.
Answer:
its D
Explanation:
i just took the exam it was right
A 40 N box is pushed 5 m up a ramp. The angle of the ramp is 37° above the horizontal. The applied force is parallel to the ramp and opposed by a frictional force of 10.0 N. Find the net increase in potential energy by the crate.
The net increase in potential energy by the crate is negative 49.4 Joules. That is, ΔP.E = - 49.4 J
Given that a 40N box is pushed 5 m up a ramp. The angle of the ramp is 37° above the horizontal.
We can find the height h of the ramp with the equation below;
h = 5sin 37
h = 3.009 m
Mass of the box = 40/9.8 = 4.082 kg
The maximum energy attained = mgh
Maximum Energy = 4.082 x 9.8 x 3.009
E = 120.36 J
The maximum K.E = Maximum P.E
1/2m[tex]U^{2}[/tex] = 120.36
m[tex]U^{2}[/tex] = 240.72
[tex]U^{2}[/tex] = 240.72 / 4.082
[tex]U^{2}[/tex] = 58.97
U = [tex]\sqrt{58.97}[/tex]
U = 7.7 m/s
We can find the acceleration by using third equation of motion
[tex]V^{2}[/tex] = [tex]U^{2}[/tex] - 2aS
Since the box is going to rest, V = 0, and acceleration will be negative
0 = 7.7^2 - 2 x a x 5
10a = 59.29
a = 59.29/10
a = 5.93 m/[tex]s^{2}[/tex]s^2
The applied force F = ma
F = 4.082 x 5.93
F = 24.2 N
Given also that the applied force is parallel to the ramp and opposed by a frictional force of 10.0 N. The net increase in potential energy by the crate will be
ΔP.E = Net work done
ΔP.E = Net force x distance
ΔP.E = (24.2 - 10 - 40sin37) x 5
ΔP.E = - 9.87 x 5
ΔP.E = - 49.4 J
Therefore, The net increase in potential energy by the crate is negative 49.4 Joules.
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I am always here, but you can never see me.
What am I????
Answer:
future?
Explanation:
Can some help me with Question it's and emergency.
How did the film “The Birth of a Nation” Affect the African American community?
the movie's overt racism outraged African Americans and civil rights advocates.
What were some ways that September 11th affected North Carolina’s economy? Check all that apply. It led to several major commercial airline companies relocating to the state. It led to the creation of thousands of military jobs in the state. It led to the opening of more factories across the state. It encouraged more defense and military spending.
Considering the situation described above, some of how September 11th affected North Carolina’s economy include "it led to the creation of thousands of military jobs in the state."
The other way September 11th affected North Carolina’s economy is that "it encouraged more defense and military spending."
September 11, 2001, Terrorist AttackSeptember 11, 2001, Terrorist Attack was an attack on the United States targeting significant buildings such as Pentagon, World Trade Centers, and U.S Capitol.
Following the saddened incident that led to the immediate death of about 3,000 people, its effects were felt across the United States, including North Carolina.
Some of the effects led to increment in the militarization of North Carolina, making the state become the fourth-ranked state with military personnel in the United States with 166,000 troops.
Hence, in this case, it is concluded that the correct answer is options B and D.
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1. f(x) = 2x^3 -3x. If h(x) is the inverse function of f, then h'(-1) =
I believe the correct answer is 1/3, but I don't know how to get it.
If f and h are inverses of one another, then we have
h(f(x)) = x
Differentiating both sides using the chain rule gives
h'(f(x)) • f'(x) = 1
Let f(x) = -1. Then it would follow that
h'(-1) = 1/f'(x)
for the value of x such that f(x) = -1. This result is known as the inverse function theorem.
Solve for x such that f(x) = -1 :
2x³ - 3x = -1
2x³ - 3x + 1 = 0
By inspection, x = 1 is a solution, since 2 - 3 + 1 = 0. So x - 1 is a factor of the left side; polynomial division yields a factorization of
(x - 1) (2x² + 2x - 1) = 0
and using the quadratic formula, we find three solutions,
x = 1, x = (-1 - √3)/2, x = (-1 + √3)/2
Since there's more than one solution here, this means f(x) is not one-to-one and thus has no inverse in the strict sense of the term.
We can however restrict the domain of f(x) to a subset over which it can be inverted. Using the fact that polynomials are monotonic over intervals between their extrema, we find the critical points of f(x) :
f'(x) = 6x² - 3 = 0 ⇒ x² = 1/2 ⇒ x = ± 1/√2
Check the sign of the second derivative at each critical point:
f''(x) = 12x
• f''(-1/√2) = -12/√2 < 0 ⇒ x = -1/√2 is a local maximum
• f''(1/√2) = 12/√2 > 0 ⇒ x = 1/√2 is a local minimum
Now we have a few choices of how to define the inverse of f(x).
• If we restrict the domain of f(x) to the interval (-∞, -1/√2), then f(x) = -1 when x = (-1 - √3)/2. Then by the inverse function theorem,
f((-1 - √3)/2) = -1 ⇒ h'(-1) = 1/f'((-1 - √3)/2) = (-1 + √3)/6
• If we instead restrict the domain to (-1/√2, 1/√2), then f(x) = -1 when x = (-1 + √3)/2. Then
f((-1 + √3)/2) = -1 ⇒ h'(-1) = 1/f'((-1 + √3)/2) = (-1 - √3)/6
• Otherwise, if we restrict to (1/√2, ∞), then f(x) = -1 when x = 1. Then
f(1) = -1 ⇒ h'(-1) = 1/f'(1) = 1/3
Could anybody look over my AP US Government Exam and correct me on anything I might have gotten wrong
TRUE atau FALSE:
Singapura mempelopori balapan malam F1 pertama
Answer:
true
Explanation:
The economy has been sluggish in recent months with slow economic growth. Explain the policies that the Federal Reserve could use to improve the economy.(1 point)
The Federal Reserve stops purchasing treasuries and securities, and then issues new reverse repurchase agreements. The short-term profits and decrease in the money supply cause a decrease in interest rates and increased lending.
The Federal Reserve sells treasuries back to banks and issues new reverse repurchase agreements. The decrease in the money supply increases interest rates, which increases lending.
The Federal Reserve purchases treasuries and securities and also issues new repurchase agreements. The increase in the money supply and decrease in interest rates result in more lending and risk.
The Federal Reserve purchases treasuries and securities, and also issues new repurchase agreements. The increase in the money supply increases interest rates and inflation, which spurs economic growth.
The policy that the Federal Reserve could use to improve the economy are;
C: The Federal Reserve purchases treasuries and securities and also issues new repurchase agreements. The increase in the money supply and decrease in interest rates result in more lending and risk.
The Federal Reserve which is the US Central Bank has 2 major roles which are:
To find a way to work to achieve low level of unemploymentTo maintain stable prices all through the economy.Now, when there is recession which is slow economic growth, unemployment level increases, and prices may drop in a process called deflation.
The Federal Reserve could take the following steps to arrest the slide in economic growth;
Open market operations; In this system, the federal reserves can lower interest rates by buying debt securities on the open market which is traded in return for newly created bank credit. This means the federal reserve purchases mostly Treasury securities in its normal open market operations. Lower capital requirementsDiscount LendingThus, the correct answer is option C.
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Answer: C: The Federal Reserve purchases treasuries and securities and also issues new repurchase agreements. The increase in the money supply and decrease in interest rates result in more lending and risk.
Hope this helps :)
a crocodile ate my shoes
Answer: Spiderman
Explanation: The raccoon man said so
Use the FOIL method to find the terms of the following multiplication problem.
(4+3i) (6-3i)
Answer:
i=2, -12/9
Explanation:
Step one: Using FOIL: (4+3i) (6-3i)--> 4*6+4*-3i+ 3i*6+ 3i*-3i
Step two: Simplify the new equation--> 24-12i+18i-9i²
Step three: Putting that into the quadratic equation--> -9i²+6i+24
Step four: Use the quadratic formula or the X-method (I'm going to use the X-method)
Step five a: Setting it up to use the X-method--> ax²+bx+c=0
Step five b: a=-9 b=6 c=14
Step six:
Step seven:
Step eight: i= -2, -12/9
Hope that helps! Let me know if you need anymore help!
I have finals next week and I need good study habit ideas… what can I do to understand everything I need to know?
20 POINTS!!!!
Which of the following statements BEST describes the position of the United States following World War II?
The United States should set up and control democratic governments in allied European countries.
Promoting democracies in European countries is the best way for the United States to combat the spread of communism.
The United States should not be expected to provide financial aid to countries struggling to rebuild after the war.
It is not the United States' responsibility to provide aid to states that have resisted communist takeovers.
The United States should focus attention on Western Europe only.
Explain ONE historical situation in the period 1450-1750, other than the one illustrated in the passage, in which states experienced environmental impact.
During the period 1450-1750, are the environmental impact on the soil erosion are the transfer of the diseases.
What is environmental?
The term "environmental" refers to the surrounds on Earth. The environment is made up of both living and non-living entities. The influence of the environment on human life Plants, fisheries, animals, woods, and microorganisms are examples of biotic factors in the environment. Water, land, rocks, air, and other abiotic components are examples.
The movement of cattle and animals from one region to another, notably from the eastern to western hemispheres, had a significant environmental impact in the Americas. The animals brought west overgrazed, causing land degradation and disease transmission.
As a result, during the period 1450-1750, are the environmental impact on the soil erosion are the transfer of the diseases.
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what centrifugal force lead to the Rwandan civil war
Answer:
The Hutus and Tutsis. Also known as the Rwandian Genocide
Explanation:
how do i find the limiting reactant
Identify the legal concern that is common to both Trump v. Hawaii
(2017) and Baker v. Carr (1962)
Answer:
In Hawaii v. Trump, the Supreme Court considered whether President Trump's travel ban exceeds the President's delegated powers under the Immigration and Nationality Act and violates the Establishment Clause of the First Amendment
It should be noted that the cases established the right of federal courts to review redistricting issues outside the courts' jurisdiction.
In Hawaii v. Trump, it was considered whether President Trump's travel ban exceeds the President's delegated powers.
In Baker v. Carr (1962), the court ruled that federal courts can enforce the 14th amendment in a situation where the state legislative districts are populated.
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Before you begin, access the accompanying document in PDF or word-processing format. For practice purposes, set a timer when you are ready to begin. You will have 55 minutes to complete the synthesis essay.
Often used to define the culture, philosophy, society, and politics of the country, education has long been considered a cornerstone of the United States. Despite this, great disagreement exists about what that education should entail and accomplish.
Carefully read the following seven sources, including the introductory information for each source. Then, synthesize information from three of the sources in a coherent, well-developed essay that develops your position on a primary purpose of education today.
Answer:
It won't let me comment but did you ever figure this out? I am on the same assignment and struggling.
Explanation:
What are the benefits that can help the body in doing physical exercise? essay
Answer:
a essay a
Explanation:
In a cluster sample:
A. a subset of naturally occurring groups are randomly sampled.
B. an alphabetic list of individuals is used for random selection into
the sample.
C. individuals are distinguished based on some characteristic such
as gender before they're randomly selected from the population.
D. only convenient members of the population are chosen.
E. None of the above
In a cluster sample only convenient members of the population are chosen. The correct option is D.
What is cluster?In cluster sampling, a population is divided into clusters, which are smaller groups. They then choose a sample at random from these clusters.
Often employed to investigate huge populations, particularly those that are extensively geographically distributed, cluster sampling is a probability sampling technique.
Large, dispersed populations should be studied using cluster sampling because interviewing every individual would be expensive, time-consuming, and possibly impossible.
Cluster sampling enables the construction of smaller, more similar representations of the population being studied. Only practical population members are picked for a cluster sample.
Thus, the correct option is D.
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