Answer:
spills on the floor
Step-by-step explanation:
there is liquid of some sort someone could slip and hurt themselves. hope this helps
HELP ME PLEASE AND THANKS :) <3
Answer:
D. Cost
It is cost because the y axis is the dependent variable because the cost depends on the weight and the dependent is the y axis.
Step-by-step explanation:
Please mark brainliest I hope this helps.
Answer:
D the cost
Step-by-step explanation:
cause the costs always go on the y axis
Keri did jumping jacks for ⅗ of a minute and sit-ups for ½ a minute. How many more seconds did Keri do jumping jacks than sit-ups?
PLS HELP AND HURRY
Answer:
so we need to subtract the situps from the jumping jack so
3/5-1/2
first we need to simplify to the same bottom number
6/10=3/5
5/10=1/2
6/10-5/10=1/10
so 1/10 of 60 is
1/10*60=6
Hope This Helps!!!
write an inequality relating −2e−nn2 to 121n2 for ≥ n≥1. (express numbers in exact form. use symbolic notation and fractions where needed.)
The inequality relating −2\(e^{(-n/n^2)}\) to 121/\(n^2\) for n ≥ 1 is -2\(e^{(-n/n^2)}\) ≤ 121/\(n^2\).
To derive the inequality, we start by comparing the expressions −2\(e^{(-n/n^2)}\) and 121/\(n^2\).
Since we want to express the numbers in exact form, we keep them as they are.
The inequality states that −2\(e^{(-n/n^2)}\) is less than or equal to 121/\(n^2\).
This means that the left-hand side is either less than or equal to the right-hand side.
The exponential function e^x is always positive, so −2\(e^{(-n/n^2)}\) is negative or zero.
On the other hand, 121/\(n^2\) is positive for n ≥ 1.
Therefore, the inequality −2\(e^{(-n/n^2)}\) ≤ 121/\(n^2\) holds true for n ≥ 1.
The negative or zero value of −2\(e^{(-n/n^2)}\) ensures that it will be less than or equal to the positive value of 121/\(n^2\).
In symbolic notation, the inequality can be written as −2\(e^{(-n/n^2)}\) ≤ 121/\(n^2\) for n ≥ 1.
This representation captures the relationship between the two expressions and establishes the condition that must be satisfied for the inequality to hold.
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In ΔQRS, s = 5.2 inches, ∠S=129° and ∠Q=30°. Find the length of r, to the nearest 10th of an inch.
The measure of the length r (SQ) of the triangle ΔQRS will be 2.40 inches.
What is the sine law?The Law of Sines The law of trigonometric functions, sine law, sine formula, or sinusoidal rule is a trigonometric equation that relates the sizes of any triangle's edges to the sines of its orientations.
The sine law in the triangle ΔQRS is given as,
QR / sin S = SQ / sin R = SR / sin Q
The third angle of the triangle ΔQRS is given as,
∠Q + ∠R + ∠S = 180°
∠R + 30° + 129° = 180°
∠R = 21°
Then the measure of the length r (SQ) will be calculated as,
5.2 / sin 129° = SQ / sin 21°
SQ = 2.40 inches
The measure of the length r (SQ) of the triangle ΔQRS will be 2.40 inches.
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I need help please!
Answer:
All answers other than {7, 11, 15, 19}
Step-by-step explanation:
If we have a Set A, it is a subset of Set B if every element in A is also in B. Set A is a proper subset of Set B if it is a subset of Set B but not equal to Set B.
Using the above information, we know that the proper subset of {7, 11, 15, 19} cannot be itself, so we can rule out the second option.
All of the other options are sets where every element of that set is also an element of {7, 11, 15, 19}. The 3rd option is an empty set, which is a proper subset of any set other than itself, so it is a proper subset of {7, 11, 15, 19}.
Therefore, all of the options except for {7, 11, 15, 19} are valid.
Logan invested $180 in an account paying an interest rate of 2.6% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 12 years?
Answer:
250
Step-by-step explanation:
Compounded Continuously:
A=Pe^{rt}
A=Pe
rt
P=180 r=0.026 t=12
Given values
A=180e^{0.026(12)}
A=180e
0.026(12)
Plug in
A=180e^{0.312}
A=180e
0.312
Multiply
A=245.90784475
A=245.90784475
Use calculator (with e button)
A\approx 250
A≈250
Write an equation to relate the flow of water from the 8-inch pipe (1600) to the flow of water from the 4-inch pipe (2400). enter your answer in simplest form.
The equation to relate the flow of water from the 8-inch pipe (1600) to the flow of water from the 4-inch pipe (2400) is 2400.
To relate the flow of water from the 8-inch pipe to the flow of water from the 4-inch pipe, we can use the equation of continuity, which states that the product of the cross-sectional area of a pipe and the velocity of the fluid is constant.
Let's assume that the velocity of water flowing through the 8-inch pipe is V1 and the velocity of water flowing through the 4-inch pipe is V2. The cross-sectional area of the 8-inch pipe is A1 = π\((8/2)^2\) = 64π square inches, and the cross-sectional area of the 4-inch pipe is A2 = π\((4/2)^2\) = 4π square inches.
According to the equation of continuity, A1 * V1 = A2 * V2.
Substituting the given values, we have:
64π * V1 = 4π * V2
Simplifying, we get:
16V1 = V2
So, the equation to relate the flow of water from the 8-inch pipe (1600) to the flow of water from the 4-inch pipe (2400) is:
1600 * 16 = 2400
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Evaluate math pls help algebra
Answer:
A. -10
B. -1
C. 5
Step-by-step explanation:
A. 3x-4 = 3(-2)-4 = -10
B. 3x-4 = 3(1)-4 = -1
C. 3x-4 = 3(3)-4 = 5
Answer:
a. is equal to -10
b. is equal to -1
c. is equal to 5
Step-by-step explanation:
a :
3(-2)-4
-6-4
-10
b :
3(1)-4
3-4
-1
c :
3(3)-4
9-4
5
These are the correct answers,please mark brainliest.
If y= 55 when x = 120 what is the value of y when x = 60 ?
Answer:
equation calculator help u out
Answer:
y = 27.5
Step-by-step explanation:
120 (x) - 55 (y) = 65
65 / 2 = 32.5
60 - 32.5 = 27.5
x = 60 and y = 27.5
I really hope this helps...
plzzzzzzzzzzzzz helpppppppppppppp
Answer:
Question 25:\(6\)
Question 19:\(16\)
Step-by-step explanation:
Question 25:\( \frac{x}{12} + \frac{y}{3} = 2\)
\( \frac{y}{3 } = 2 - \frac{x}{12} \)
\(y = 3( 2 - \frac{x}{12} )\)
\(y = 6 - \frac{x}{4} \)
\(y = - \frac{x}{4} + 6\)
Question 19:\( {x}^{2} - 8x + c\)
\( {x}^{2} + c - 18\)
To find the c value ,
\(c = ( \frac{b}{2} {)}^{2} \)
divide the coefficient of x by 2 and square the result.
\(( - 1 \times 4 {)}^{2} \)
\(( - 4 {)}^{2} \)
\(16\)
Hope it is helpful....A solution to the equation 4x+2y=20 must also be a solution to which of the following equations?1) 8x+2y=402) 2x+2y=103) 2x+y=104) 4x+4y=40
As given by the question,
There are given that the equation:
\(4x+2y=20\)Now,
First, suppose any number, for which the given equation has satisfied.
So, the number is, x = 2 and y = 6
Then,
Put both values into the given equation
\(\begin{gathered} 4x+2y=20 \\ 4(2)+2(6)=20 \\ 8+12=20 \\ 20=20 \end{gathered}\)Then,
Put the same value of x and y into the given option and check whether it is satisfied:
So,
From option 3:
\(\begin{gathered} 2x+y=10 \\ 2(2)+6=10 \\ 4+6=10 \\ 10=10 \end{gathered}\)Hence, the correct option is 3.
16. Acme car rental agency charges a fee of $29 per day plus $0.15 per
mile. Travel Ease car rental agency charges $20 per day plus $0.25 per
mile. For a one-day trip, what mileage would make the two rates equal?
Answer:
90 miles
Step-by-step explanation:
0.15x + 29 = y ---- acme car agency
0.25 x + 20 = y ---- travel ease agency
0.15x + 29 = 0.25x + 20
9 = 0.1x
x = 90
(c) A non-uniform but spherically symmetric charge distribution has a charge density: rho(r)=rho 0
(1−r/R)
rho(r)=0
for r≤R
for r>R
where rho 0
=3Q/πR 3
is a positive constant. Show that the total charge contained in this charge distribution is Q. [4] Show that the electric field in the region r>R is identical to that created by a point charge Q at r=0 [2] Derive an expression for the electric field in the region r≤R. [5]
To show that the total charge contained in the charge distribution is Q, we integrate the charge density over the entire volume. The charge density is given by:
ρ(r) = ρ₀(1 - r/R) for r ≤ R,
ρ(r) = 0 for r > R,
where ρ₀ = 3Q/πR³.
To find the total charge, we integrate ρ(r) over the volume:
Q = ∫ρ(r) dV,
where dV represents the volume element.
Since the charge density is spherically symmetric, we can express dV as dV = 4πr² dr, where r is the radial distance.
The integral becomes:
Q = ∫₀ᴿ ρ₀(1 - r/R) * 4πr² dr.
Evaluating this integral gives:
Q = ρ₀ * 4π * [r³/3 - r⁴/(4R)] from 0 to R.
Simplifying further, we get:
Q = ρ₀ * 4π * [(R³/3) - (R⁴/4R)].
Simplifying the expression inside the parentheses:
Q = ρ₀ * 4π * [(4R³/12) - (R³/4)].
Simplifying once more:
Q = ρ₀ * π * (R³ - R³/3),
Q = ρ₀ * π * (2R³/3),
Q = (3Q/πR³) * π * (2R³/3),
Q = 2Q.
Therefore, the total charge contained in the charge distribution is Q.
To show that the electric field in the region r > R is identical to that created by a point charge Q at r = 0, we can use Gauss's law. Since the charge distribution is spherically symmetric, the electric field outside the distribution can be obtained by considering a Gaussian surface of radius r > R.
By Gauss's law, the electric field through a closed surface is given by:
∮E · dA = (1/ε₀) * Qenc,
where ε₀ is the permittivity of free space, Qenc is the enclosed charge, and the integral is taken over the closed surface.
Since the charge distribution is spherically symmetric, the enclosed charge within the Gaussian surface of radius r is Qenc = Q.
For the Gaussian surface outside the distribution, the electric field is radially directed, and its magnitude is constant on the surface. Hence, E · dA = E * 4πr².
Plugging these values into Gauss's law:
E * 4πr² = (1/ε₀) * Q,
Simplifying:
E = Q / (4πε₀r²).
This is the same expression as the electric field created by a point charge Q at the origin (r = 0).
To derive an expression for the electric field in the region r ≤ R, we can again use Gauss's law. This time we consider a Gaussian surface inside the charge distribution, such that the entire charge Q is enclosed.
The enclosed charge within the Gaussian surface of radius r ≤ R is Qenc = Q.
By Gauss's law, we have:
∮E · dA = (1/ε₀) * Qenc.
Since the charge distribution is spherically symmetric, the electric field is radially directed, and its magnitude is constant on the Gaussian surface. Hence, E · dA = E * 4πr².
Plugging these values into Gauss's law:
E * 4πr² = (1/ε₀) * Q.
Simplifying:
E = Q / (4πε₀r²).
This expression represents the electric field inside the charge distribution for r ≤ R.
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in PQR if m∠p is 14 less than five times x, m∠q is five less than x and m∠r is nine less than twice x find x and the measure of each angle.
x=
m∠p=
m∠q=
m∠r=
The value of x =26°, m∠p =116°, m∠q=21°, m∠r=43°
What is an angle?
An angle is formed when two lines meets at the same vertex. It is measured by degree. Based on the measurements angles are of three types.
Consider POR as a triangle.
Given that m∠p=5x-14, m∠q=x-5, m∠r=2x-9.
In triangle the sum of the angle is 180°, then
m∠p + m∠q +m∠r =180°
⇒5x-14+x-5+2x-9 = 180°
⇒8x-28=180°
⇒x=26°
then, m∠p=5x-14 = 5(26)-14 = 116°
m∠q=x-5 = 26-5=21°
m∠r=2x-9 = 2(26)-9=43°
Hence, the value of x =26°, m∠p =116°, m∠q=21°, m∠r=43°
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math please. its for a quiz
The quotient function of f(x) and g(x) is given as follows:
(f/g)(x) = 3x^(3/4).
How to obtain the quotient function?The functions in the context of this problem are defined as follows:
f(x) = 3x.g(x) = x^(1/4).When we want to divide two functions, we just divide each other, hence:
(f/g)(x) = f(x)/g(x) = 3x/x^(1/4).
When we divide two terms with the same base and different exponents, we keep the base and subtract the exponents, hence:
x/x^(1/4) = x^(1 - 1/4) = x^(3/4).
Hence the function is:
(f/g)(x) = 3x^(3/4).
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Plz help I give a thanks
Answer:
x=8
Step-by-step explanation:
We know that the sum of two opposite interior angles equals one exterior angle
So
8x-5+27°=9x+14
8x+22=9x+14
22-14=9x-8x
x=8
Given the points B(-2, 10) and C(8, 7), find one point D that makes both statements true.
The slope of the line connecting B and D is 2. The slope of the line connecting C and D is - 3.
Answer:
D(3.4, 20.8)
Step-by-step explanation:
Given points B(-2, 10) and C(8,7), you want the coordinates of point D such that BD has a slope of 2 and CD has a slope of -3.
SlopeThe equation for the slope between two points is ...
m = (y2 -y1)/(x2 -x1)
Using this formula and the given points, we can find D(x, y) to satisfy ...
2 = (y -10)/(x +2)
-3 = (y -7)/(x -8)
SolutionPutting each of these equations in general form, we have ...
2(x +2) -(y -10) = 0
2x -y +14 = 0
and
-3(x -8) -(y -7) = 0
3x +y -31 = 0
Adding the two equations eliminates the y-variable:
(2x -y +14) +(3x +y -31) = 0
5x -17 = 0 . . . . . . simplify
x -3.4 = 0 . . . . . . divide by 5
x = 3.4 . . . . . . . . . add 3.4
Substituting for x in the first equation gives ...
2(3.4) -y +14 = 0
y = 6.8 +14 = 20.8 . . . . add y
The point D has coordinates (3.4, 20.8).
__
Additional comment
The graph shows the equations of the lines written in point-slope form.
18 2 1 18 3 2 18 3 2 21 3 3 21 3 4 22 4 4 23 4 6 23 4 7 25 4 8 step 1 of 2 : find the p-value for the regression equation that fits the given data. round your answer to four decimal places.
P-value of less than 0.05 is typically considered statistically significant, indicating that the relationship between the variables in the regression equation is unlikely to be due to chance.
To find the p-value for the regression equation that fits the given data, you would need to conduct a regression analysis. This involves analyzing the relationship between the variables in the data set and determining whether there is a statistically significant relationship. Unfortunately, the data set you provided does not have any indication of what the variables are or what the regression equation is, so it is impossible to provide a specific answer to your question.
However, if you do conduct a regression analysis and obtain a p-value, you would round your answer to four decimal places as requested in the question. The p-value is a decimal value that represents the probability of obtaining the observed results if the null hypothesis is true. Based on the data provided, we first need to calculate the regression equation. However, the data seems to be presented in an unclear format. Please provide the data as pairs of x and y values, like this: (x1, y1), (x2, y2), (x3, y3), and so on. Once you provide the data in this format, I'll be happy to help you find the p-value for the regression equation, rounded to four decimal places.
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B is the midpoint of AC, AB=5x and BC=2x+9 find AB,BC, and AC
Answer:
Step-by-step explanation:
5x = 2x + 9
3x = 9
x = 3
AB= 5(3)= 15
BC= 2(5) + 9= 10 + 9 = 19
AC= 15 + 19 = 34
Somebody help please I don’t understand
The constant of proportionality for respective problems is 2/7, 15, 2.75, 13, 4/3.
A) In the first block,
Using points we can find the equation of line ,
Using the formula (y - y₀) = m (x - x₀)
where m is the slope of the equation
The equation of line becomes 2x = 7y
⇒ y = 2/7x
⇒ 2/7 is the constant of proportionality
B) From the graph given,
Again Using the formula (y - y₀) = m (x - x₀)
If we consider two points,
(2,30) and (4,60)
The equation of line becomes
15x = y
Here, the constant of proportionality is 15.
C) It is given the equation is y = 2.75x
The constant of proportionality here is 2.75
D) It is given that,
The price of 5 games is $65.00
The price of 1 game will be 65 / 5
= $13.00
The equation becomes
y = 13x
So, the constant of proportionality becomes 13.
E) Let us consider 2 points (3,12) and (6,24)
The equation of line using the formula (y - y₀) = m (x - x₀) becomes 4x = 3y
⇒ y = 4/3 x
The constant of proportionality becomes 4/3.
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symmetrical balance which has similar shapes repeated on either side of a vertical axis is also called:
Symmetrical balance, also known as bilateral symmetry, is a type of balance in which two halves are mirror images of each other. This type of balance can be found in both visual art and in nature.
In visual art, symmetrical balance is achieved when similar shapes, colors, lines, and textures are repeated on either side of a vertical axis. This creates an even distribution of visual elements and creates a sense of harmony and equilibrium. In nature, symmetrical balance is created when there is a symmetrical arrangement of organs and features in plants and animals.
Symmetrical balance is often used to create a sense of order and balance in visual works of art, as well as to emphasize the balance of nature in landscapes. It can also be used to convey a sense of unity and tranquility, as the repetition of similar elements creates an overall feeling of calmness and symmetry. Symmetrical balance is an important element in many types of artwork, and it is used in all kinds of visual art, including paintings, photographs, sculptures, and more.
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what should ne The power of 5 so that ies value becomes 1÷25
Answer:
\(5^{-2}\)
Step-by-step explanation:
Primd factorize 25
25 = 5*5 = 5²
\(\sf \dfrac{1}{25}=\dfrac{1}{5^{2}} \\\\= 5^{-2}\)
HINT:
\(\dfrac{1}{a^{m}}=a^{-m}\)
PLEASE HELP WITH MY MATH HOMEWORK
ill give brainliest
Answer:
The answer is that the ball was in the air for 0.56 seconds when it was 54 feet above the ground. This was determined by using the Quadratic Formula to solve the equation 54 = -16s^2 + 96s for the variable s.
Step-by-step explanation:
To solve this equation, we can use the Quadratic Formula, which states that for a quadratic equation in the form ax^2 + bx + c = 0, the solutions are given by:
x = (-b +/- sqrt(b^2 - 4ac)) / (2a)
In this case, a = -16, b = 96, and c = -54. Plugging these values into the Quadratic Formula, we get:
s = (-96 +/- sqrt(96^2 - 4 * -16 * -54)) / (2 * -16)
= (96 +/- sqrt(9216 + 4352)) / -32
= (96 +/- sqrt(13,568)) / -32
Since we want the time (in seconds) that the ball was in the air, we need to find the positive solution to this equation. Thus, we have:
s = (96 + sqrt(13,568)) / -32
= (96 + 120) / -32
= 0.5625 seconds
Rounding this value to the nearest hundredth of a second, we get 0.56 seconds. This means that the ball was in the air for 0.56 seconds when it was 54 feet above the ground.
To solve this equation, we used the Quadratic Formula. This method allowed us to find the time (in seconds) that the ball was in the air by solving for the value of the variable s in the given equation. This helped Vue answer his question by providing a numerical value for the amount of time that the ball was in the air when it was 54 feet above the ground.
Sally and anne went to the movies. They each purchased a drink. They also bought one popcorn and one veggie cup to share. Which expression can be used to find how much money each woman spent? one-half (9 + 1. 35 + 3. 50 + 1. 74) 9 + 1. 35 + one-half (3. 50 + 1. 74) 18 + 2. 70 + one-half (3. 50 + 1. 74) 9+1. 35+2(3. 50+1. 7).
Expression which represents the amount of money spend by each woman is equal to [ 9 + 1.35 + (one- half)(3.50 + 1.74)].
As given in the question,
Condition for the expression:
Sally and Anne both went for a movie.
Each one purchased a drink.
Shared one popcorn and one veggie bought by them.
Consider movie ticket price = 9
drink price = 1.35
Popcorn price = 3.50
Veggie price = 1.74
Explanation for different expressions are:
1. one-half (9 + 1. 35 + 3. 50 + 1. 74)
Here sum of all the amount is divided equally, which is not correct as movie ticket and drink they have purchased individually.
2. 9 + 1. 35 + one-half (3. 50 + 1. 74)
This is correct option as it represents :
Movie ticket price = 9
Drink = 1.35
one-half (3. 50 + 1. 74) = one popcorn and one veggie divided equally.
3. 18 + 2. 70 + one-half (3. 50 + 1. 74)
As per consideration of price this is not correct option.
Movie ticket price =18
Drink = 2.70
one-half (3. 50 + 1. 74) = one popcorn and one veggie divided equally.
4. 9+1. 35+2(3. 50+1. 7)
This is not correct option as popcorn and veggie price is doubled.
Therefore, expression which represents the amount of money spend by each woman is equal to [ 9 + 1.35 + (one- half)(3.50 + 1.74)].
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1. According to the podcast, why and how is chicken the reason American trucks dominate the truck market in the United States? Briefly explain. 2. Name two reasons a party (e.g., a politician or an industry association) may want to impose a tariff? 3. Who are they usually trying to protect? Who would be hurt by a tariff on automobiles? Explain. 4. Describe how competition encourages innovation? In your answer to this question, include a discussion on why American trucks "basically stayed the same over the years. 5. Describe ways foreign companies tried to get around American-imposed tariffs on automobiles. 6. Do you think the methods you described in your previous answer are efficient for an economy? Why or why not? 7. Lastly, how can a tariff be used as a bargaining chip? In your opinion, is that a good reason to impose tariffs - why or why not?
1. Chicken became the key product that drove the creation of the Interstate Highway System, which led to the dominance of American trucks in the US truck market.
2. A party may want to impose a tariff to protect domestic industries from foreign competition or to generate revenue for the government.
3. A party is usually trying to protect domestic industries, but a tariff on automobiles would hurt both domestic consumers who would pay higher prices and foreign producers who would face reduced demand.
4. Competition encourages innovation by providing incentives for companies to improve their products and services to stay ahead of their rivals; American trucks stayed the same because they faced little competition due to protectionist policies.
5. Foreign companies tried to get around American-imposed tariffs on automobiles by establishing factories in the US, forming joint ventures with American companies, or exporting through third countries.
6. The methods used to get around tariffs can be efficient in the short term, but they may not be sustainable or desirable in the long term as they can lead to trade imbalances and undermine the competitiveness of domestic industries.
7. Tariffs can be used as a bargaining chip to negotiate better trade deals, but they should be imposed judiciously and only as a last resort to avoid damaging the economy and harming consumers.
1. In the podcast, chicken is cited as the reason why American trucks dominate the truck market in the United States.
This is because in the 1960s, the government imposed regulations on the trucking industry that limited the amount of weight a truck could carry.
To get around these regulations, the industry started using smaller trucks to transport goods, which were often not strong enough to handle the weight.
However, they found that if they put chicken on the back of the trucks, the weight of the cargo would distribute more evenly and the smaller trucks could handle the load.
This led to the development of the modern pickup truck, which is now a staple of the American automobile market.
2. Parties may want to impose tariffs for various reasons, such as to protect domestic industries and jobs from foreign competition, to raise revenue for the government, or to level the playing field in international trade.
Two specific reasons for imposing tariffs could be to protect national security interests or to address unfair trade practices by other countries.
3. Tariffs are usually imposed to protect domestic industries and jobs, and the parties that are being protected are typically the producers of the goods or services in question.
However, tariffs can also harm consumers who may have to pay higher prices for imported goods or may have fewer choices in the marketplace. For example, if a tariff is imposed on automobiles, domestic car manufacturers may benefit, but consumers may have to pay more for cars, and foreign automakers may lose market share.
4. Competition encourages innovation by creating incentives for companies to improve their products or services to gain a competitive advantage.
In the case of American trucks, the lack of competition may have contributed to their lack of innovation over the years. Since they dominated the market, there was little pressure to improve or innovate, and as a result, they have largely stayed the same.
However, the rise of foreign competition in recent years has led American truck manufacturers to invest more in innovation to stay competitive.
5. Foreign companies have tried to get around American-imposed tariffs on automobiles in various ways, such as by moving production to countries not subject to the tariffs, by exporting parts and assembling them in the United States, or by lobbying the government for exemptions or tariff reductions.
6. The methods used by foreign companies to get around tariffs may not be efficient for the economy as a whole because they can lead to higher costs and inefficiencies in the supply chain.
However, they may be necessary for individual companies to remain competitive in the short term.
Ultimately, a more efficient solution would be to address the root causes of the trade imbalances that lead to tariffs in the first place.
7. A tariff can be used as a bargaining chip by threatening to impose tariffs on imports from a country unless they make concessions in trade negotiations.
While this can be an effective strategy in certain situations, it can also lead to a trade war and harm both economies.
In general, tariffs should be used sparingly and as a last resort, and efforts should be made to address underlying trade issues through diplomacy and negotiation.
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The straight line L passes through (7a, 5) and (3a, 3) An equation of l is x+by-12=0 Find the value of a and the value of b.
The value of a is -4 and the value of b is 8.
Given, the straight line L passes through (7a,5) and (3a,3) and an equation of line L is x+by-12 = 0. On solving, we get
Put (7a,5) in x+by-12 = 0, we get
7a+5y-12 = 0 or 7a+5y = 12 ...........(1)
Put (3a,3) in x+by-12 = 0, we get
3a+3y-12 = 0 or a+y = 4 ........(2)
Now, solving equation (1) and (2) in order to conclude the value of a and b
So, multiply equation (1) by 1 and equation (2) by 5 and subtract them, we get
7a+5y = 12
5a+5y = 20
on subtracting, we get
7a+5y-5a-5y = 12-20
2a = -8
a = -8/2
⇒a = -4
Now, put value of a in equation (1) in order to get the value of b,
7a+5y = 12 ⇒ 7 x -4+5y = 12
-28+5y = 12
5y = 28+12
5y = 40
y = 40/5
y = 8
∴ The value of a is -4 and the value of b is 8.
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in a group of five friends, the sums of the ages of each group of four of them is 58, 59, 61, 62 and 64. what is the age of the oldest of the five friends?
The age of the oldest of the five friends is 19 years and the youngest is 12 years.
The given information is in a group there are five friends, the sums of the ages of each group of four of them are 58, 59, 61, 62 and 64.
The range of a data set is the difference between smaller values and a larger value in the set.
To find the age of the oldest person
Range=oldest age -the youngest age
\(oldest=\frac{Range-youngest age}{4}\)
R=(64-58/4)+(64-59/4)+(64-61/4)+64-62/4)
R=1.5+1.241+0.75+0.5
R=3.991.
64/4=16.
O=16+3.991
Oldest=19 years.
Youngest=16-3.9=12 years.
Hence, the age of the oldest of the five friends is 19 years.
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Simplify
2a - 5 + 3a + 4
Answer:
5a - 1
Step-by-step explanation:
add common terms
2a - 5 + 3a + 4
2a + 3a and -5 + 4
5a - 1
:)
Answer:
5a - 1
Step-by-step explanation:
Simple additon math skillz
Determine c such that f(c) is the average value of the function
on the interval [0, 2].
The c is equal to half of the definite integral of the function over the interval [0, 2].
To determine c such that f(c) is the average value of the function on the interval [0, 2], we can use the formula for the average value of a function:
avg = 1/(b-a) * ∫(a to b) f(x) dx
In this case, a = 0 and b = 2, so the formula becomes:
avg = 1/2 * ∫(0 to 2) f(x) dx
We want to find the value of c such that f(c) = avg, so we can set these two expressions equal to each other and solve for c:
f(c) = avg
f(c) = 1/2 * ∫(0 to 2) f(x) dx
We can then use calculus to solve for c by finding the derivative of both sides with respect to c and setting them equal to each other:
f'(c) = 1/2 * (f(2) - f(0))
Solving for c gives us:
c = (1/2) * ∫(0 to 2) f(x) dx
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Select the graph that matches the equation y = 2
4
7
x − 3.
Answer:
B
Step-by-step explanation:
Since the y-intercept is -3 look for the graph that has the point (0,-3)