With trade, Taiwan will be able to consume the same number of digital music players and 500 additional cell phones.
How to explain the trade?The opportunity cost of producing 1 cell phone for Taiwan is (600/9900) 0.06 digital music players and the opportunity cost of producing 1 digital music player is (9900/600) = 16.5 cell phones.
Germany produces 600 cell phones and 2,660 digital music players. The opportunity cost of producing 1 cell phone is (2,660/600) 4.43 digital music players and the opportunity cost of producing 1 digital music player is (600/2,660)= 0.23 cell phones.
Taiwan can produce cell phones at a lower opportunity cost than Germany. Hence, Taiwan has a comparative advantage in the production of cell phones. It will specialize in the production of cell phones.
In one hour of labor, Taiwan can produce 22 cell phones. Using 500 labor hours (500*22) 11,000 cell phones can be produced. If Taiwan trades 600 cell phones for 600 digital music players then it will be left with 10,400 cell phones.
With trade, Taiwan will be able to consume the same number of digital music players and (10400 - 9900) = 500 additional cell phones.
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Evaluate (―3) for () = 3 +3+ 17
The value when the expression is evaluated will be -19.
How to evaluate the expression?It should be noted that an expression in Mathematics simply means the collect of symbols that can be used to jointly express the quantity that's given.
From the information given, the expression is given as:
= x³ + 3x + 17
when x = -3
= x³ + 3x + 17
= (-3)³ + (3 × -3) + 17
= -27 - 9 + 17
= -19
Therefore, based on the information given, the
value when the expression is evaluated will be -19.
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i need help pls!! no random answers pls very important!!
Answer:
(-2, -4)
Step-by-step explanation:
When a point is rotated 180 degrees around the origin, the values turn into their opposites.
(2, 4) ⇒ (-2, -4)
Answer:
(-2,-4)
Step-by-step explanation:
You have it correct. It would move from quadrant I to quadrant III and both values become negative.
(-2,-4)
State the domain and range of the following functions f(x) =1/x+3 g(x) =sqrt x+6
Answer:
For the function \(f(x)=\frac{1}{x} +3\). The domain is \(\left(-\infty \:,\:0\right)\cup \left(0,\:\infty \:\right)\) and the range is \(\left(-\infty, 3\right) \cup \left(3, \infty\right)\).
For the function \(g(x) =\sqrt{x+6}\). The domain is \(\left[-6, \infty\right)\) and the range is \(\left[0, \infty\right)\).
Step-by-step explanation:
The domain of a function is the set of input or argument values for which the function is real and defined.
The range of a function is the complete set of all possible resulting values of the dependent variable, after we have substituted the domain.
\(f(x)=\frac{1}{x} +3\) is a rational function. A rational function is a function that is expressed as the quotient of two polynomials.
Rational functions are defined for all real numbers except those which result in a denominator that is equal to zero (i.e., division by zero).
The domain of the function is \(\left(-\infty \:,\:0\right)\cup \left(0,\:\infty \:\right)\).
The range of the function is \(\left(-\infty, 3\right) \cup \left(3, \infty\right)\).
\(g(x) =\sqrt{x+6}\) is a square root function.
Square root functions are defined for all real numbers except those which result in a negative expression below the square root.
The expression below the square root in \(g(x) =\sqrt{x+6}\) is \(x+6\). We want that to be greater than or equal to zero.
\(x+6\geq 0\\x\ge \:-6\)
The domain of the function is \(\left[-6, \infty\right)\).
The range of the function is \(\left[0, \infty\right)\).
how do I solve this?
the answer would be B ( 4,-5) because when I put them on a graph it came up with the right one
what are the answers? thank you.
Answer:
176.78cm squared,23.57cm,Step-by-step explanation:
inorder to solve the area of the shaded area;°/360ñRsquared
arc length you use ;°/360ñD
Tyler’s grocery receipt shows a charge of $0.25 for every apple he purchased.
Let g represent the amount on the grocery receipt.
Let a represent the number of apples purchased.
Which is the independent variable?
1. the amount of the grocery bill
2. the cost of an apple
3. the weight of the apples
4. the number of apples purchased
Answer:
2. the cost of an apple
Step-by-step explanation:
the cost can't be changed by anything
Answer:
1: the amount of the grocery bill
math again. marking as brainliest
Answer:
d po
Step-by-step explanation:
sna maka tulong hheeheh
A spacecraft travels at a speed of 5 x 10^4 miles per day. How long will it travel in 1.5 x 10^2 days?
Answer:
\(7.5 \times 10^6\) miles
Step-by-step explanation:
\((5\times 10^4)\times (1.5 \times 10^2)=\\(5\times 1.5) \times (10^4 \times 10^2)=\\7.5 \times 10^6\)
Hope this helps!
I got it wrong but SOS
well, the wording is
"the yards from their goal line as a function of the number of plays"
the number of plays is the independent variable, meaning the dependent variable is the number of yards, hmmm so they're about to start their play on the 5-yard line, meaning the number of plays at this point is 0, zilch, then they move on each 3 plays by 10 yards, so let's make a table
\(\begin{array}{ccll} Plays&Yards\\ \cline{1-2} 0&5\\ 3&\underset{5+10}{15} \end{array}\hspace{5em} (\stackrel{x_1}{0}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{15}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{15}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{0}}} \implies \cfrac{10 }{ 3 }\)
\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{ \cfrac{10 }{ 3 }}(x-\stackrel{x_1}{0})\implies y-5=\cfrac{10}{3}x\)
oddly enough, looks like yours :)
What is the M.A.D. (mean absolute deviation) of the following data set?
8 9 9 7 8 6 9 8
The mean absolute deviation is 0.75
How to determine the mean absolute deviationTo calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set
From the information given, we have that the data set is;
8 9 9 7 8 6 9 8
Let's calculate the mean, we get;
Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8
Mean = 64 / 8
Divide the values
Mean = 8
Let's determine the absolute difference, we get;
Absolute differences=
|8 - 8| = 0
|9 - 8| = 1
|9 - 8| = 1
|7 - 8| = 1
|8 - 8| = 0
|6 - 8| = 2
|9 - 8| = 1
|8 - 8| = 0
Find the mean of the absolute differences:
Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8
Absolute difference = 6 / 8 = 0.75
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Simplify the variable expression by evaluating its numerical part, and enter
your answer below.
g- 16/4 +2
simplification of expression will be g - 2
Our expression is g - 16/4 + 2
16/4 = 4
so we c will write it as
g - 4 + 2
which can be further simplified to
g - 2
Therefore, our simplified expression comes out to be g - 2.
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Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)
Answer:
27.5 miles per gallon
1 full tank = 15.45 gallons
27.5 x 15.45 = 424.875 miles
rounded to the nearest 100th: 424.88 miles
nearest 10th: 424.9 miles
nearest whole #: 425 miles
Six hundred and thirty-one divided by seven
Select the correct answer. What is the solution to the equation?
square root of x-3 + 1 = 6
64
46
28
22
Answer:
Correct answer is 28
Step-by-step explanation:
The solution to the equation is 8.
What is a solution?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
We have,
x - 3 + 1 = 6
Solve for x.
x - 2 = 6
x = 6 + 2
x = 8
We can cross-check.
x - 3 + 1 = 6
8 - 3 + 1 = 6
9 - 3 = 6
6 = 6
True
Thus,
The solution is 8
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The following data shows the number of home runs hit by the top 12 home run hitters in Major League Baseball during the 2011 season.
43 41 39 39 38 37 37 36 34 33 33 32
The lower limit for determining outliers for a box-and-whisker plot is______.
a. 23.75.
b. 20.0.
c. 22.5.
d. 25.25.
Answer:
d. 25.25.
Step-by-step explanation:
A whisker plot is a type of box plot which is graphical representation of five number summary. It is used for explanatory data analysis. The baseball league has data set whose median is 45. When the outliner are present in data set the median measures central tendency.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. a. Find the unit price for each option shown below. Round to the nearest cent when necessary. Option I: 10 candy bars for $6.75 Option II: 12 candy bars for $7.25
Divide the total cost by the number of candy bars in each option.
Option 1 = 6.75 / 10 = $ 0.671
Option 2 = 7.25 / 12 = $0.604
Sophia runs twice as fast as her friend Mia. If mia runs 3 mph how long will it tske sophia to run 6 miles? 9 miles?
Answer:
It will take Sophia 1 hour to run 6 miles.
And 1 1/2 hours for 9 miles.
Step-by-step explanation:
solve for x
\(5x^{x+2} = 4x^{x}\)
Find how much money needs to be deposited now into an account to obtain $1,200 (Future Value) in 15 years if the interest rate is 7% per year compounded monthly (12 times per year).
\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 1200\\ P=\textit{original amount deposited}\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &15 \end{cases}\)
\(1200 = P\left(1+\frac{0.07}{12}\right)^{12\cdot 15} \implies 1200=P\left( \frac{1207}{1200} \right)^{180} \\\\\\ \cfrac{1200}{ ~~ \left( \frac{1207}{1200} \right)^{180} ~~ }=P\implies 421.21\approx P\)
Determine the cost of driving 100km. One of Mr. Flynn's trips required him to drive a distance of 97km to a neighbouring town and back determine the total cost of petrol
The total cost of petrol for Mr Flynn's trip would be $14.55.
What is an expression?In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.
To determine the cost of driving 100km, we need to know the fuel efficiency of Mr Flynn's vehicle and the price of petrol per litre. Once we have this information, we can calculate the total cost of petrol for a distance of 100km and then use that to calculate the cost for the 97km trip.
Let's assume that Mr Flynn's vehicle has a fuel efficiency of 10km per litre of petrol and the price of petrol is $1.50 per litre.
To drive a distance of 100km, Mr Flynn's vehicle would need 10 litres of petrol (100km divided by 10km per litre). The total cost of petrol for 100km would be $15 (10 litres multiplied by $1.50 per litre).
For a distance of 97km, Mr Flynn's vehicle would need 9.7 litres of petrol (97km divided by 10km per litre). The total cost of petrol for the 97km trip would be $14.55 (9.7 litres multiplied by $1.50 per litre).
Therefore, the total cost of petrol for Mr Flynn's trip would be $14.55.
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Which expression represents a cube root of 1 + i?
OVE (cos()+ i sin (24))
OVE (cos (37) + i sin (3))
/
O & (cos (4) + i sin (24))
V2 (cos (37) + 1 sin (37))
Answer:c
Step-by-step explanation is va cuz when your multiply:
Answer:
\(\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)\)
Step-by-step explanation:
The analysis is as attached below.
help................................................
9514 1404 393
Answer:
B.
Step-by-step explanation:
Use t=0 and t=2 and locate the graph with those two points on it. (We choose these because the horizontal grid is 2 years for each grid line.)
For t=0, C(0) = 50000(0.9^0) -2000 = 480000
For t=2, C(2) = 50000(0.9^2) -2000 = 40500 -2000 = 38500
The only graph that has y-intercept of 48000 and crosses (2, 38500) is the one shown in choice B.
The graph represents the piecewise function: f (x) ={ , if -3
The domain and the range of the function are
Domain = (-∝, ∝)Range = (0, ∝)How to determine the domain and range of the functionFrom the question, we have the following parameters that can be used in our computation:
The graph
The graph is a piecewise function
When combined gives an absolute function
The rule of a function is that
The domain is the set of all real numbers
This means that the input value can take all real values
However, the range is greater than the constant term
In this case, it is 0
So, the range is y > 0
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Question
The graph represents the piecewise function:
f(x) =
What is the domain and range of the function
Solve each inequality using addition and subtraction. Then graph each solution
set on a number line.
-7x + 5 + 8x >3,
Answer:
wish i could herlp sorry have a great day
Step-by-step explanation:
Answer:
x > -2
Step-by-step explanation:
For each image, determine if you have enough information to find the missing lengths. If so, find them. If not, explain why. 1. DE is parallel to AC. Find the lengths of DE || AC AC and AD. B 2 D t 5 E 6
The length of AC is 12.5 and the length of AD is 3.
What are triangles?A triangle is a three-sided polygon because it has three edges and three vertices. The most important attribute of a triangle is the sum of its internal angles to 180 degrees
Given triangle ABC,
and D is a point on AB and E is a point on AC,
and forms a triangle ADE,
and DE is parallel to AC,
taking ΔABC and ΔBDE
∠B = ∠B (common angle)
because DE is parallel to AC, so corresponding angles are equal,
so ∠A = ∠D
and ∠C = ∠E
ΔABC ≈ ΔBDE (triangles are similar)
since both triangles are similar the ratio of their corresponding sides is equal,
AB/BD = AC/DE = BC/BE
given BD = 2, BE = 4, DE = 5 and EC = 6
BC = EC + BE = 4 + 6
BC = 10
AC/DE = BC/BE
AC = 5(10/4)
AC = 12.5
and AB/BD = BC/BE
AB = 2(10/4)
AB = 5
AD = AB - BD
AD = 5 - 2
AD = 3
Hence AC = 12.5 and AD = 3.
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The figure is in image.
If you ask Megan how many dogs she has, she answers with a riddle: "Four-sevenths of my dogs plus 9." How many dogs does she have?
Step-by-step explanation:
This is a simple system of equations problem, with our equation being:
\(\frac{4}{7}x+9=x\)
We know this as her dogs (x) is equal to 4/7 of her dogs (x) plus 9. Now all we must do is solve for x:
\(\frac{4}{7}x+9=x\\\\\frac{4}{7}x=x-9\\\\\frac{4}{7}x=\frac{7}{7}x-9\\\\\frac{-3}{7}x=-9\\\\x=21\)
What quadrant does the angle 220∘, drawn in standard position, terminate in?
Answer:
The angle is in the second quadrant.
Last year the depth of the river was 4.2 feet deep. This year it dropped 24%. Find the depth of the river this year to cross it.
The depth of the river is 3.192 feet.
How to illustrate the percentage?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.
The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.
Since last year the depth of the river was 4.2 feet deep and year it dropped 24%. The depth will be:
= 4.2 - (24% × 4.2)
= 4.2 - 1.008
= 3.192 feet
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11. Multiple Choice. Which point is on
graph of y = 2x + 5?
a) (3, 10)
b) (1,5)
c) (2,9)
d) (8, 20)
The point is on the graph of y = 2x + 5 is,
⇒ (2, 9)
What is Coordinates?A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
Given that;
The graph is,
y = 2x + 5
Now, We can check the points which satisfy the graph as;
From point c;
Put x = 2, y = 9;
y = 2x + 5
9 = 2 × 2 + 5
9 = 4 + 5
9 = 9
Therefore, The point is on the graph of y = 2x + 5 is,
⇒ (2, 9)
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How do you say hi in chamoru?
Answer:
Step-by-step explanation:
To say Hi in Chamoru you say, "Håfa Adai" (Chamorro for "Hello").
Hope this helped!