Answers
Answer:
2 x 2
Step-by-step explanation:
Given the dimensions of the first matrix are 2x3 and the dimensions of the second matrix are 3x2, then the dimensions of the product will be 2x2.
Remember that the dimensions of a matrix are read by rows*columns.
The product of an m×n matrix and an n×k matrix is an m×k matrix
Related Questions
Consider a hemisphere with a diameter of 12 mm. Find the volume of the hemisphere in terms of π.
Answers
Hello !
Answer:
[tex]\boxed{\sf V_{hemisphere}=144\pi\ mm^3}[/tex]
Step-by-step explanation:
The volume of a sphere is given by the following formula : [tex]\sf V_{sphere}=\frac{4}{3}\pi r^3[/tex] where r is the radius.
Moreover, we know that the volume of a hemisphere is half the volume of a sphere : [tex]\sf V_{hemisphere}=\frac{1}{2} V_{sphere}[/tex]
We obtain : [tex]\sf V_{hemisphere}=\frac{2}{3}\pi r^3[/tex]
Given :
d = 12mm[tex]\sf r=\frac{1}{2} d=\frac{12}{2} \\\underline{\sf r=6mm}[/tex]
Let's substitue r with it value in the previous formula :
[tex]\sf V_{hemisphere}=\frac{2}{3} \pi\times 6^3\\\boxed{\sf V_{hemisphere}=144\pi\ mm^3}[/tex]
Have a nice day ;)
The two triangles are similar.
What is the value of x?
Enter your answer in the box.
x =
Answers
The value of x from the given similar triangles is 10 units.
The given triangles are similar.
Here, 3x/(4x+2) = 20/28
3x/(4x+2) = 5/7
7×3x = 5(4x+2)
21x=20x+10
21x-20x=10
x=10 units
Therefore, the value of x from the given similar triangles is 10 units.
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There is a math oriented pizza restaurant that advertises their slices based on arc measurement and pie radius . Recently they had a lunch special for a Personal Pie with a radius of 4 inches . What would the area of a 135 slice of pizza be? Round your answer to the nearest hundredth.
Answers
The area of a 135 slice of pizza be,
⇒ 6,782.41 inches²
We have to given that;
Recently they had a lunch special for a Personal Pie with a radius of 4 inches .
Since, WE know that;
Area of circle is,
A = πr²
Where, r is radius of circle
Here, Radius of circle = 4 inches
Hence, Area of pizza is,
⇒ A = 3.14 x 4²
⇒ A = 50.24 inches²
Hence, the area of a 135 slice of pizza be,
⇒ 50.24 × 135
⇒ 6,782.41 inches²
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can you please help, i have a test tomorrow and i know nothing
Answers
Check the picture below.
[tex]\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2\implies c=\sqrt{a^2 + o^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{x}\\ a=\stackrel{adjacent}{4}\\ o=\stackrel{opposite}{5.4} \end{cases} \\\\\\ x=\sqrt{ 4^2 + 5.4^2}\implies x=\sqrt{ 16 + 29.16 } \implies x=\sqrt{ 45.16 }\implies x\approx 6.7[/tex]
its ixl please help
Answers
(x - h)^2 + (y - k)^2 = r^2
Where (h, k) represents the center of the circle and r represents the radius.
In this case, the center of the circle is given as (0, 9), and it passes through the point (15/2, 5).
First, we need to find the radius of the circle. The radius can be calculated using the distance formula between the center and any point on the circle.
Using the distance formula:
r = √[(x2 - x1)^2 + (y2 - y1)^2]
Let's substitute the values into the formula:
r = √[(15/2 - 0)^2 + (5 - 9)^2]
r = √[(15/2)^2 + (-4)^2]
r = √[225/4 + 16]
r = √[225/4 + 64/4]
r = √[289/4]
r = 17/2
Now that we have the radius, we can write the equation of the circle in standard form:
(x - 0)^2 + (y - 9)^2 = (17/2)^2
Simplifying:
x^2 + (y - 9)^2 = 289/4
Multiplying through by 4 to eliminate the fraction:
4x^2 + 4(y - 9)^2 = 289
Therefore, the equation of the circle in standard form is 4x^2 + 4(y - 9)^2 = 289.
I hope this helps! :)
enter the number that belongs in the green box
Answers
The measure of unknown angle of triangle is 28.2°.
From the given triangle, we have sides 11 units, 12 units and 20 units.
The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them. The law of cosine states that: a² = b² + c² − 2bc·cosA.
Here, 11²=12²+20²-2×12×20·cosA
121=144+400-480·cosA
121=544-480·cosA
121-544=-480·cosA
-423=-480·cosA
cosA= 423/480
cosA= 0.88125
A=28.2°
Therefore, the measure of unknown angle of triangle is 28.2°.
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Jim is playing a game of chance in which he rolls a number cube with sides numbered from 1 to 6. The number cube is fair, so a side is rolled at random.
This game is this: Jim rolls the number cube once. He wins $1 if a 1 is rolled, $2 if a 2 is rolled, $3 if a 3 is rolled, and $4 if a 4 is rolled. He loses $6.50 if a 5or 6 is rolled.
(a) Find the expected value of playing the game.
(b) What can Jim expect in the long run, after playing the game many times?
Jim can expect to gain money.
Jim can expect to lose money.
Jim can expect to break even (neither gain nor lose money).
Answers
part a.
the expected value of playing the game is found as -$0.50.
part b.)
Jim can expect to lose money in the long run if he plays the game many times because the expected value is negative.
How do we calculate?The expected outcomes and their corresponding values are:
If we roll a 1 = Jim wins $1.
If we roll a 2 =Jim wins $2.
If we roll a 3 = Jim wins $3.
If we roll a 4 = Jim wins $4.
If we roll a 5 or 6 = Jim loses $6.50.
We then calculate the value:
Expected value = (Probability of rolling a 1) × (Value of rolling a 1) + (Probability of rolling a 2) × (Value of rolling a 2) + (Probability of rolling a 3) × (Value of rolling a 3) + (Probability of rolling a 4) × (Value of rolling a 4) + (Probability of rolling a 5 or 6) × (Value of rolling a 5 or 6)
Expected value = (1/6) × $1 + (1/6) × $2 + (1/6) × $3 + (1/6) × $4 + (2/6) × (-$6.50)
EV = $1/6 + $2/6 + $3/6 + $4/6 - $13/6
EV = ($1 + $2 + $3 + $4 - $13)/6
EV = -$3/6
Expected value = -$0.50
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Please help me please only answer if correct
Answers
The value of x in the triangle is 9, the volume of the cylinder is 1272.3 yd³ and the volume of the sphere is 268.1 mi³.
What is the numerical value of x in the triangle?To solve for the value of x in the triangle, we use ratio:
[tex]\frac{20}{20 + 16}=\frac{45}{45 + 3x + 9}[/tex]
Simplify and solve for x:
20/36 = 45/(3x + 54 )
Cross mulltiply:
20( 3x + 54 ) = 36 × 45
60x + 1080 = 1620
60x = 1620 - 1080
60x = 540
x = 540/60
x = 9
Therefore, the value of x is 9.
Option A) 9 is the correct answer.
Question 2)
Height of ctlinder h = 5 yd
Diameter = 18 yd
Radius = diameter/2 = 18/2 = 9 yd
Volume of cylinder = π × (radius)² × height
Volume = π × 9² × 5
Volume = 1272.3 yd³
Therefore, the volume of the cylinder is 1272.3 yd³.
Option B) 1272.3 yd³ is the correct ansswer.
Question 3)
Radius of the sphere r = 4 mi
Volume = ?
Volume = 4/3 × π × ( radius )³
Volume = 4/3 × π × ( 4 )³
Volume = 268.1 mi³
Therefore, the volume of the sphere is 268.1 mi³.
Option B) 268.1 mi³ is the correct answer.
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Suppose that the mean daily viewing time of television is 8.35 hours. Use a normal probability distribution with a standard deviation of 2.5 hours to answer the following questions about daily television viewing per household
(a)
What is the probability that a household views television between 3 and 11 hours a day? (Round your answer to four decimal places.)
(b)
How many hours of television viewing must a household have in order to be in the top 3% of all television viewing households? (Round your answer to two decimal places.)
hrs
(c)
What is the probability that a household views television more than 5 hours a day? (Round your answer to four decimal places.)
Answers
Answer:
(a) To find the probability that a household views television between 3 and 11 hours a day, we need to calculate the z-scores for 3 and 11 hours using the formula z = (x - μ) / σ, where μ is the mean and σ is the standard deviation. The z-score for 3 hours is (3 - 8.35) / 2.5 = -2.14 and the z-score for 11 hours is (11 - 8.35) / 2.5 = 1.06. Using a standard normal distribution table, we find that the probability of a z-score being between -2.14 and 1.06 is approximately 0.8209.
(b) To find how many hours of television viewing a household must have in order to be in the top 3% of all television viewing households, we need to find the z-score that corresponds to the top 3% of the standard normal distribution. Using a standard normal distribution table, we find that this z-score is approximately 1.88. Using the formula x = μ + zσ, we can calculate that a household must view television for approximately 8.35 + (1.88 * 2.5) = 12.75 hours to be in the top 3% of all television viewing households.
(c) To find the probability that a household views television more than 5 hours a day, we need to calculate the z-score for 5 hours using the formula z = (x - μ) / σ, where μ is the mean and σ is the standard deviation. The z-score for 5 hours is (5 - 8.35) / 2.5 = -1.34. Using a standard normal distribution table, we find that the probability of a z-score being greater than -1.34 is approximately 0.9099.
Answer:
Step-by-step explanation:
The mean daily viewing time of television is 8.35 hours and the standard deviation is 2.5 hours. We can use a normal probability distribution to answer the following questions about daily television viewing per household:
(a) The probability that a household views television between 3 and 11 hours a day is 0.9772 (rounded to four decimal places).
(b) To be in the top 3% of all television viewing households, a household must have 15.68 hours of television viewing per day (rounded to two decimal places).
The probability that a household views television more than 5 hours a day is 0.8944 (rounded to four decimal places).
I hope this helps! Let me know if you have any other questions.
1. At a sale on winter clothing, Cody bought two pairs of gloves and four hats for $43.00. Tor bought two pairs of gloves and two hats for
930.00. Find the prices of the hats and gloves.
(k pL.)
Let x-
Let v=
(pt.)
2. Aaliyah invested $10,000 in two mutual funds.
One of the funds rose 6% in one year, and the other rose 906 in one year. Aaliyah's investment rose a total of S684 in one vear. Find the amount she invested in each fund.
Answers
1. The price of a pair of gloves (x) is $8.50, and the price of a hat (y) is $6.50.
2. Aaliyah invested $7,200 in the mutual fund that rose 6% and $2,800 in the mutual fund that rose 9%.
1. Let's assume the price of a pair of gloves is represented by 'x' and the price of a hat is represented by 'y'.
From the given information, we can establish the following equations based on Cody and Tor's purchases:
Equation 1: 2x + 4y = 43.00 (Cody's purchase)
Equation 2: 2x + 2y = 30.00 (Tor's purchase)
To solve this system of equations, we can use a method like substitution or elimination.
Using the substitution method, we can rearrange Equation 2 to express x in terms of y:
2x = 30.00 - 2y
x = 15.00 - y
Now, we substitute this value of x into Equation 1:
2(15.00 - y) + 4y = 43.00
30.00 - 2y + 4y = 43.00
2y = 43.00 - 30.00
2y = 13.00
y = 6.50
Substituting this value of y back into Equation 2 to find x:
2x + 2(6.50) = 30.00
2x + 13.00 = 30.00
2x = 30.00 - 13.00
2x = 17.00
x = 8.50
Therefore, the price of a pair of gloves (x) is $8.50, and the price of a hat (y) is $6.50.
2. Let's assume Aaliyah invested an amount represented by 'x' in the mutual fund that rose 6% and an amount represented by 'y' in the mutual fund that rose 9%.
From the given information, we can establish the following equations based on the rise in investment:
Equation 1: 0.06x + 0.09y = 684 (rise in investment)
Equation 2: x + y = 10,000 (total investment)
To solve this system of equations, we can use a method like substitution or elimination.
Using the substitution method, we can rearrange Equation 2 to express x in terms of y:
x = 10,000 - y
Now, we substitute this value of x into Equation 1:
0.06(10,000 - y) + 0.09y = 684
600 - 0.06y + 0.09y = 684
0.03y = 84
y = 2800
Substituting this value of y back into Equation 2 to find x:
x + 2800 = 10,000
x = 10,000 - 2800
x = 7200
Therefore, Aaliyah invested $7,200 in the mutual fund that rose 6% and $2,800 in the mutual fund that rose 9%.
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Find the LCM of A= 3^2 x 5^4 x 7 and B= 3^4 x 5^3 x 7 x11
Answers
The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.
Given are two numbers which are showed in the prime factorized form.
A = 3² × 5⁴ × 7
B = 3⁴ × 5³ × 7 × 11
Prime factorization is the factorization of a number in terms of prime numbers.
In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.
A = 3² × 5³ × 5 × 7
B = 3² × 3² × 5³ × 7 × 11
Bring down the primes in each column.
LCM = 3² × 3² × 5³ × 5 × 7 × 11
= 3898125
Hence the LCM is 3898125.
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PLEASE HELP ME WITH THIS MATH PROBLEM!!!!
Answers
Hello!
BC // AB => Thalès
AB/AC = AE/AD = BE/CD
3/(3+8) = AE/(AE+10)
3/11 = AE/(AE+10)
3/11 = AE/(AE+10)
3/11 * (AE+10) = AE/(AE+10) * (AE+10)
(3AE + 30)/11 = AE
(3AE + 30)/11 * 11 = AE * 11
3AE + 30 = 11AE
30 = 11AE - 3AE
30 = 8AE
AE = 30/8
AE = 3.75
AE ≈ 3.8
The answer is AE = 3.8Use the information above to answer the questions that follow.
2.2.1
2.2.2
2.2.3
2.2.4
sanitation in Johannesburg if a property is 175 m².
Write down, to the nearest ten cents and excluding VAT, the cost for
Calculate the cost for 4,1 ke sanitation in Cape Town before the increase.
Mr Jones lives in Johannesburg and Ms Brown lives in Cape Town. They
both own a property with an area of 550 m² and each was billed for 22 kl
sanitation.
Use the table above to determine the difference in the cost of sanitation
for the two properties.
Explain how the tariff system used in Johannesburg is beneficial to
home owners in terms of water usage.
(2)
(8)
(2)
[34]
mor
MO
ud.
0
0
Answers
Mr. Jones in Johannesburg is billed R9,767.12 and Ms. Brown in Cape Town is billed R680.24 for their respective properties.
From the provided information for Cape Town's sanitation tariffs:
0-4.2 kl: R16.03 per kl
Since 4.1 ke is equivalent to 4100 liters, which is less than 4.2 kl, we can use the tariff rate for the 0-4.2 kl range.
Cost for 4.1 ke of sanitation
= 4.1 ke x R16.03 per kl
= 4100 liters x R16.03 per kl
= R65.83
For Mr. Jones and Ms. Brown, who own properties with an area of 550 m² each and were billed for 22 kl of sanitation.
we need to determine the applicable tariff rate based on the property size and calculate the cost.
In Johannesburg, based on the provided information, the tariff rate for properties larger than 300 m² to 1,000 m² is R443.96.
Cost of sanitation for Mr. Jones in Johannesburg:
= 22 kl x R443.96 per kl
= R9,767.12
Cost of sanitation for Ms. Brown in Cape Town:
= 22 kl x R30.92 per kl = R680.24
Therefore, Mr. Jones in Johannesburg is billed R9,767.12 and Ms. Brown in Cape Town is billed R680.24 for their respective properties.
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Question
Given the frequency table below, what is the relative frequency of the data value 8?
Value
4
5
6
7
8
Frequency
2
7
9
6
6
Answers
Answer:
2
3
5
5
7
13
14
17
21
31
52
Step-by-step explanation:
but I think the town & is the best. I am not coming out of my reward.. this will be the last one day.. this will not go on. I am not coming to the office until tomorrow as I'm working for, and if I don't get any of that, I'll break it up with a choice. I am a bit worried, so I was 165 2762
Essay Question.
You are purchasing a new car. In order to determine which car will provide maximum savings, you’ve researched miles per gallon (mpg) ratings of cars. If gas is $3.45 per gallon and you drive an average of 18,000 miles per year, the following rational equation is given:
Answers
a. You will find the gallons of gas consumed by the old car in one year when you divide [tex]\frac{18,000}{old\;miles\;per\;gallon}[/tex].
b. The amount of dollars you would save in the first year by switching to the 27 mpg car is $1,150.
c. The amount of dollars you would save after 5 years is $5,750.
d. Yes, the additional savings in gas be worth the extra $3000 over a 5 year loan.
e. The gas mileage your new car would have to be if you saved $800 per year over your 18 mpg current car is 23.4 mpg.
How to evaluate the rational equation?Based on the information provided about the car that would provide maximum savings, the following rational equation models the situation:
[tex]g(x)=3.45(\frac{18,000}{old\;miles\;per\;gallon})-3.45(\frac{18,000}{new\;miles\;per\;gallon})[/tex]
Note: "g(x) is used for calculating the amount of dollar savings for one year for driving a car that gets higher miles per gallon rate."
Part a.
Based on the rational equation, we can logically deduce that the expression [tex]\frac{18,000}{old\;miles\;per\;gallon}[/tex] would help to determine the gallons of gas consumed by the old car in one year.
Part b.
The amount of dollars you would save in the first year by switching to the 27 mpg car can be calculated as follows:
[tex]g(x)=3.45(\frac{18,000}{18})-3.45(\frac{18,000}{27})[/tex]
g(x) = 3,450 - 2,300
g(x) = $1,150.
Part c.
The amount of dollars you would save after five years can be calculated as follows:
f(5) = 5g(x)
f(5) = 5 × $1,150
f(5) = $5,750
Part d.
[tex]g(x)=3.45(\frac{18,000}{27})-3.45(\frac{18,000}{33})[/tex]
g(x) = 2,300 - 1,881.82
g(x) = $418.18.
f(5) = 5g(x)
f(5) = 5 × $418.18
f(5) = $2,090.9
Next, we would subtract the cost in 5 years as follows;
Difference = $5,750 - $2,090.9
Difference = $3,659.1.
Therefore, $3,659.1 is greater than $3,000, so an additional savings is worth it.
Part e.
Lastly, we would determine the gas mileage your new car would have to be if you saved $800 per year over your 18 mpg current car;
[tex]800=3.45(\frac{18,000}{18})-3.45(\frac{18,000}{y})[/tex]
800 = 3,450 - 62,100/y
62,100/y = 3,450 - 800
62,100/y = 2,650
y = 62,100/2,650
y = 23.4 mpg.
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PLS HELP MEEEE PLSSS The number of defective watches manufactured by a watch company, with regard to the total number of watches manufactured for each
order, are shown in the scatter plot below.
Which of the equations below would be the line of best fit?
A. y = 1/5x
B. y = 1/50x
C. y = 1/50x-10
D. y = 1/50x+10
Answers
The equation that would be the line of best fit is B. y = 1/50x
How to calculate the valueThe line of best fit is a line that best describes the relationship between two variables. In this case, the two variables are the total number of watches manufactured and the number of defective watches. The line of best fit is determined by finding the line that minimizes the sum of the squared vertical distances between the line and the data points.
The line of best fit for the scatter plot is y= 1/50x. This line passes through the center of the data points, which means that it minimizes the sum of the squared vertical distances between the line and the data points. The slope means that for every 50 watches manufactured, there is one defective watch.
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if the percentage difference was 34.846% and the number of voters were 3066649 in 2016, calculate the number of registered voters (A) in 2011
Answers
Answer:
Step-by-step explanation:
If the reliability is
r = 0.25,
the equation becomes
R(n) =
0.25n
0.75 + 0.25n
.
What percent improvement is there in the reliability when the test length is doubled?
Answers
The percentage improvement in reliability when test length is doubled is 15%
R(n) = 0.25n / (0.75 + 0.25n)
For a test length of 1substitute n = 1 into the equation :
R(n) = 0.25n / (0.75 + 0.25n)
R(1) = 0.25(1) / (0.75 + 0.25(1))
R(1) = 0.25 / 1
R(1) = 0.25
For a test length of 2when test length is doubled , n = 2
substitute n = 1 into the equation :
R(n) = 0.25n / (0.75 + 0.25n)
R(2) = 0.25(2) / (0.75 + 0.25(2))
R(2) = 0.5 / 1.25
R(2) = 0.4
Percentage improvement can be calculated thus ;
R(2)-R(1)/R(1) × 100%
(0.4-0.25)/0.25 × 100%
0.15 × 100%
=15%
Therefore, percentage improvement in reliability is 15%
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Calculate the area of the composite figure
Answers
Answer:
Step-by-step explanation:
See image below
According to the rational zero theorem, which is not possible zero of the function
(x)=2x^4-5x^3+10x^2-9
A. -9
B. -1/2
C. 1/3
D. 3
Answers
Answer:
C. 1/3
Step-by-step explanation:
You want to identify the rational number listed that cannot be a root of the given polynomial.
Rational root theoremPossible rational roots will be off the form ...
± (divisor of the constant) / (divisor of the leading coefficient)
ApplicationWhen the divisors are listed, this is ...
±{1, 3, 9}/{1, 2}
This shows you that 3 cannot be the denominator of any possible rational root.
1/3 is not a possible zero of the function
__
Additional comment
The list of possible roots is ±{1/2, 1, 3/2, 3, 9/2, 9}.
As it happens, neither of the two real roots is rational.
<95141404393>
What the meaning of statement this?
Answers
Yes, the product of X and Y, that is X × Y is a set.
Given that, the product X×Y is a set because X×Y⊂PP(X∪Y).
A set is defined as a collection of elements or members, and X × Y meets this criteria as it is a collection of ordered pairs of elements from X and Y.
We can also prove this using set theory. The expression X × Y⊂PP(X∪Y) means that the set X × Y is a subset of the power set of the union of X and Y.
The power set of a set A is a set of all subsets of A, which means that PP(X∪Y) includes all of the possible combinations of the elements from X and Y.
So, the fact that X × Y⊂PP(X∪Y) proves that it is a subset of a set and thus is a set itself.
Yes, the product of X and Y, that is X × Y is a set.
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find inverse of function y=x2 x>=0
Answers
Answer:
The inverse function is:
f(x)=√x−2
Step-by-step explanation:
To find the inverse function of y=f(x) you have to transform the formula to calculate x in terms of y.
y=x2+2
x2=y−2
x=√y−2
Now we can change the letters to follow the convention that x is the independent variable and y is the function's value:
y=√x−2
You have to calculate the domain of the result function.
Here you have the expression under square root sign, so the domain is the set where x−2≥0
x−2≥0⇒x≥2
Match the prompts together.
Answers
When matched, the prompts on asymptotes would be:
Vertical asymptote at x=0: The cost of producing pills can never reach 0.Decreasing on (0,∞): As the number of pills produced gets smaller, the average cost of production greatly increases.Horizontal asymptote at y=0: The cost of producing pills cannot be negative.Positive on (0,∞): As more pills are produced, the average cost per pill decreases.How to match the asymptote statements ?The presence of a vertical asymptote at x=0 signifies that the cost of producing pills can never reach a value of 0, remaining persistently positive. Simultaneously, the horizontal asymptote at y=0 serves as a reassuring indication that the cost of producing pills cannot be negative, as it steadfastly remains at or above zero.
This crucial constraint ensures that the cost incurred in the pill production process is always a non-negative quantity. Consequently, the prompt related to the impossibility of negative costs aligns with this notion.
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if instead the triangle on the left had the same area as the circle on the right
Answers
If the triangle on the left had the same area as the circle on the right, it would require more resources and potentially be more unstable than the current configuration.
If the triangle on the left had the same area as the circle on the right, it would mean that the triangle would have to be larger than its current size. This is because the area of a circle is determined by the formula A=πr^2, where r is the radius of the circle.
Therefore, if the area of the circle is equal to the area of the triangle, the radius of the circle would have to be equal to the height of the triangle, and the base of the triangle would need to be wider.
This would result in a larger triangle with a greater surface area than the current triangle. The larger triangle would also have a longer perimeter, which would make it more difficult to enclose and would require more material to construct.
Additionally, the larger triangle would have a higher center of gravity, which could make it more difficult to balance and more prone to tipping over.
Overall, if the triangle on the left had the same area as the circle on the right, it would require more resources and potentially be more unstable than the current configuration.
It is important to consider both the area and the shape of an object when determining its practicality and effectiveness in a given situation.
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50 students are asked whether they like English, History or Geography.3 students like none of them,25 like English,25 like History and 11 like Geography,2 like English and history only,2 like Geography and history only.No student like English and geography. (A) represent the information in a venn diagram (B) use the ven diagram to calculate how many students like all three
Answers
Answer:
history Is a good subject
Solve the inequality for w.
w+7<20
Simplify your answer as much as possible.
0
Answers
Answer:
w<13
Step-by-step explanation:
Works identically to a normal single-variable equation.
Subtract 7 on both sides in order to isolate w--->w+7-7<20-7
The answer (which cannot be simplified any further) is w<13.
Answer:
w < 1`3
Step-by-step explanation:
Isolate the variable w on one side of the inequality sign.
w+7<20
w<20 - 7
w<13.
Estimate the sum of 379+409=
Answers
Answer:
Round both numbers to 1 significant figure.
400+400=800
800 is the answer.
. Suppose a government agency has a monopoly in the provision of internet connections.
The marginal cost of providing internet connections is 1
2
, whereas the inverse demand
function is given by: p = 1
Answers
The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.
In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.
The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.
To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.
Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.
As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.
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help me please
it’s past due
Answers
The measure of the ∠d is 65 degrees.
The measure of the ∠c is 89 degrees.
The measure of the arc a is 131 degrees.
The measure of arc b is 47 degrees.
How to determine the valuesThe value of each variable. For the circle, the dot represents the center.
1. The measure of ∠d is;
∠d+ 115°= 180°
∠d= 180°-115°= 65°
The measure of the ∠d is 65 degrees.
2. The measure of ∠c is,
∠c+ 91°= 180°
∠c =180°-91° =89°
The measure of the ∠c is 89 degrees.
3. The measure of arc a is,
The inscribed angle measures half that of the arc comprising;
arc a = 230 - 90
arc a = 131 degrees
4. The measure of arc b is,
The inscribed angle measures half that of the arc comprising;
arc b = 178 - 131
arc b = 47 degrees
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How to solve triangle inequalities?
Answers
Answer: The triangle inequality theorem describes the relationship between the three sides of a triangle. According to this theorem, for any triangle, the sum of lengths of two sides is always greater than the third side.
