Answer:
9
Step-by-step explanation:
288/32 in simplest form
288/32=144/16=72/8=9
Hope it helps you
Answer:
9
Step-by-step explanation:
288/320 = 9/1
9/1 = 9
PLEASE HELP ON QUESTION ASAP !
Hi please help on question.If you get answer correct is be willing to give brainliest,a thanks, five stars and 10pts.
My question:
As an analogy of a circuit with resistance, think of an obstacle race . Which parts of a circuit do the obstacles represent? which part of the circuit do the people respresent?
The electric current to flow through the resistors and complete the circuit by reaching its intended destination or powering a device.
In the analogy of a circuit with resistance, we can compare it to an obstacle race. Here's how we can relate the different elements:
Circuit: The entire obstacle race course represents the circuit itself. It includes all the components and paths that the participants will go through.
Obstacles: The obstacles in the race represent the resistors in the circuit. Just like resistors impede the flow of electrical current in a circuit, obstacles in the race impede the progress of the participants.
People/Participants: The people participating in the race represent the flow of electric current in the circuit. They are the "charge" moving through the circuit, encountering and overcoming obstacles (resistors) to reach the finish line.
The goal of the participants (people) is to navigate through the obstacles (resistors) and complete the race (circuit) by reaching the finish line.
Similarly, in an electrical circuit, the goal is for the electric current to flow through the resistors and complete the circuit by reaching its intended destination or powering a device.
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A number plus it’s opposite is ___ zero. always,sometimes,never
Answer:
always
Step-by-step explanation:
Can someone help me with the answer?
The standard deviation of the sampling distribution of sample means will be 0.6667.
What is a normal distribution?The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
Given information
μ= 38 and σ = 6; n = 81
The standard deviation of the sampling distribution is given as,
⇒ 6 / √81
⇒ 6 / 9
⇒ 0.6667
The standard deviation of the sampling distribution of sample means will be 0.6667.
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(Will give brainlist)
Find the indicated measure for circle P.
(26) The length FE in the intersecting chords is 6.
(27) The length of arc AE = 64⁰.
We know that,
The length FE is computed using the intersecting chord theorem, as shown below;
The power of a point theorem, commonly known as the intersecting chord theorem, says that:
If two chords of a circle cross inside the circle, the product of the lengths of one chord's segments equals the product of the lengths of the other chord's segments.
FE ≅ AB = 6
The length of the arc AE is computed as follows:
⇒ arc of AE + arc of AB + arc of ED = 180
Since sum of angles of a semi circle
⇒ arc of AE + 58 + 58 = 180
⇒ arc of AE + 116 = 180
⇒ arc of AE = 64
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7. Suppose that the discriminating monopolist has the demand functions
P_{1} = 200 - 2Q_{1}; P_{2} = 180 - 4Q_{2} and that the cost function is C = 20(Q_{1} + Q_{2}) .
a) How much should be sold in the 2 markets to maximise profits?
b) What are the corresponding prices?
c) How much profit is lost if it becomes illegal to discriminate?
12 marks]
12 marks]
16 marks]
d) Discuss the consequences of the imposition of a tax of 5 per unit sold in market 1 by
a) To maximize profits, 10 units should be sold in market 1 and 5 units in market 2.
b) The corresponding prices are $180 in market 1 and $160 in market 2.
c) If it becomes illegal to discriminate, the profit loss is $50.
d) The imposition of a tax of $5 per unit sold in market 1 would likely decrease the monopolist's profit and potentially lead to adjustments in prices and quantities sold in both markets.
a) To maximize profits, the monopolist should set marginal revenue equal to marginal cost in each market.
In this case, marginal revenue is equal to the derivative of the demand function with respect to quantity, and it can be calculated as MR = dP/dQ.
For market 1:
MR₁ = dP₁/dQ₁ = -2
For market 2:
MR₂ = dP₂/dQ₂ = -4
Setting MR equal to marginal cost, which is the derivative of the cost function with respect to quantity, gives:
MR₁ = -2 = dC/dQ₁ = 20
MR₂ = -4 = dC/dQ₂ = 20
Solving these equations, we find:
Q₁ = 10
Q₂ = 5
Therefore, the monopolist should sell 10 units in market 1 and 5 units in market 2 to maximize profits.
b) To determine the corresponding prices, we substitute the quantities obtained in part (a) into the demand functions:
For market 1:
P₁ = 200 - 2Q₁ = 200 - 2(10) = 180
For market 2:
P₂ = 180 - 4Q₂ = 180 - 4(5) = 160
Therefore, the corresponding prices are $180 in market 1 and $160 in market 2.
c) To calculate the profit lost if it becomes illegal to discriminate, we need to compare the profits under discrimination with the profits under non-discrimination.
Under discrimination, the monopolist charges different prices in each market, while under non-discrimination, the same price is charged in both markets.
Under discrimination:
Profit = Total revenue - Total cost
For market 1:
Total revenue₁ = P₁ \(\times\) Q₁ = 180 \(\times\) 10 = $1
For market 2:
Total revenue₂ = P₂ \(\times\) Q₂ = 160 \(\times\) 5 = $800
Total revenue = Total revenue₁ + Total revenue₂ = $1800 + $800 = $2600
Total cost = C = 20(Q₁ + Q₂) = 20(10 + 5) = $300
Profit = Total revenue - Total cost = $2600 - $300 = $2300
Under non-discrimination:
Since the same price is charged in both markets, we take the average price:
Average price = (P₁ + P₂) / 2 = (180 + 160) / 2 = $170
Total revenue = Average price \(\times\) (Q₁ + Q₂) = $170 \(\times\) (10 + 5) = $2550
Total cost remains the same at $300.
Profit = Total revenue - Total cost = $2550 - $300 = $2250
Therefore, the profit lost if discrimination becomes illegal is $2300 - $2250 = $50.
d) The imposition of a tax of $5 per unit sold in market 1 would increase the cost per unit for the monopolist.
This would affect the profit-maximizing quantity in market 1 and potentially lead to a change in prices.
The monopolist would compare the new marginal cost, which includes the tax, with the marginal revenue to determine the new profit-maximizing quantities and prices.
The tax would likely reduce the monopolist's profits and could potentially result in adjustments in production and pricing strategies.
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Income can come from
a a part-time job.
b. allowance
c. odd jobs.
d. all of the above.
Answer:
d
Step-by-step explanation:
Answer:
D. all of the above
Step-by-step explanation:
they all give you money.
One year, the population of a city was 160,000. Several years later it was 140,800. Find the percent decrease.
Answer:
Percent decrease in population = 12%
Step-by-step explanation:
Given that:
Population of city = 160,000
Population of city after several years = 140,800
Difference= 160000 - 140800 = 19200
Percent decrease = \(\frac{Difference}{Population} * 100\)
Percent decrease = \(\frac{19200}{160000}*100\)
Percent decrease = 0.12 * 100
Percent decrease = 12%
Hence,
Percent decrease in population = 12%
What are the zeros of the function f(x) = x2 + 5x + 5 written in simplest radical form?
A. x=5-+10*square root* 5/2
B. x=-5-+10*square root*5/2
C. x=-5-+*square root*5/2
D. x=5-+*square root*5/2
Step-by-step explanation:
The function is as follows :
\(f(x) = x^2 + 5x + 5\)
We need to find the zeroes of the function in the simplest radical form.The zero of the above function is given by :
\(x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}\)
Here,
b = 5
a = 1
c = 5
So,
\(x=\dfrac{-5\pm \sqrt{5^2-4\times 1\times 5} }{2(1)}\\\\x=\dfrac{-5\pm \sqrt{25-20} }{2(1)}\\\\x=\dfrac{-5\pm \sqrt{5} }{2}\)
Hence, the correct option is (c).
(c) Given the expression x, the value of the coefficient is
Answer:
Before a variable there is no coefficient.
There is an invisible 1 infront bc there is no real number. so the 1 appears.
Let f(x) = −4(0.25)^x. The graph of g(x) = f(x)+k is shown below. Identify the value of k. k=
Leslie paid $12 for 4 books. What is the unit rate of the book purchase?
Answer: 3 dollars for a book.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
PLEASE HELP ASAP For each expression below, select the letter that corresponds to the equivalent expression from the given list.
(4x^3 – 4 + 7x) – (2x^3- 8)
is equivalent to expression___
(-3x^2 + x^4 + x) + (2x^4 - 7 + 4x) is equivalent to expression ____
(12 – 2x)(2x + 3) is equivalent to expression___
The blanks are for the letters in the picture
BAnswer:
B-D-A
Step-by-step explanation:
-
515,060 to the nearest hundred thousand
Answer:
500,000
hope this helps
Which of the systems of linear equations will have no solution?
Question 15 options:
y = 12 – 3x
y = 2x – 3
y = x – 1
-5x + y = -5
2x + y = 9
2x + y = 5
y = 2x
3x + 2y = 21
Answer: The third one
Step-by-step explanation:
That system has the same equation, but a different solution, meaning the lines can never intersect.
We can also convert it into slope-intercept form.
y = -2x + 9
y = -2x + 5
Different slope and same y-intercept = NO SOLUTION
Answer:
2x + y = 9
2x + y = 5
Step-by-step explanation:
No solutions for 2 lines will only happen when the lines are parallel and never touch. So there are no solutions.
Lines are parallel when slopes are the same.
The equations cannot be the same just the slopes are the same.
Let's rearrange this set of equations into y=mx+b so we can see what the slope m is:
2x + y = 9 and 2x + y = 5
y= -2x +9 y= - 2x +5
You can see the lines are different but have the slopes so they are parallel and no solutions.
liam has 12 red ballons and 14 blue ballons he puts all of his ballons into 2 equal groups how many ballons are in each group
Answer: 6 red and 7 blue
Step-by-step explanation:
Cut in half the amount of each balloon
please helppp
Simplify.
(-2)^-3
Answer:
-1/8 <----- FRACTION
Step-by-step explanation:
Pls help me :((( I really need help PLEASE
x+12% of x= 3.36 help
Answer:
x = 3
Step-by-step explanation:
x + .12x = 3.36 Combine like terms
1.12x = 3.36 Divide both sides of the equation by 1.12
x = 3
=======================================
Work Shown:
12% = 12/100 = 0.12
x + 12% of x = x + 0.12x = 1.12x = 3.36
1.12x = 3.36
x = 3.36/1.12
x = 3
---------------
Check:
12% of 3 = 0.12*3 = 0.36
x + 12% of x = 3 + 12% of 3 = 3 + 0.36 = 3.36
Or you could say 1.12x = 1.12*3 = 3.36
The answer is confirmed.
Michaela received an order to hand paint a decorative box with faces that are regular pentagons. She will first paint the outside of the box solid blue. What is the area that she needs to cover with blue paint 
The area that Michaela will need to cover up with blue paint would be 396. 11 in ²
How to find the area to be covered ?The area of the decorative box that needs to be covered is the entire outside of the shape.
The box is a pentagonal prism which means the area will be the area of a pentagonal prism which can be found by the formula :
= 5 a h + 1 / 2 √ ( 5 ( 5 + 2 √ 5 ) ) a ²
Where a is the side of the pentagon and h is the height.
The area is:
= 5 (7 ) ( 6. 5 ) + 1 / 2 √ ( 5 ( 5 + 2 √ 5 ) ) ( 7 )²
= 396.10679
= 396. 11 in ²
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Bookwork code: A99
The table shows the hair colours of the
students in a sports team.
Hair colour
Black
Blonde
Brown
Frequency
1
< Back
a) What fraction of the students have brown
hair? Give your answer in its simplest form.
b) How many sections on this pie chart
would you shade to show the students with
brown hair?
4
2
Scroll down
Watch video
Answer >
A fraction of the students who have brown hair is equal to 1/7.
You should shade only one (1) section on the pie chart to show the number of students with brown hair.
What is a pie chart?In Mathematics, a pie chart can be defined as a type of graph that is used for the graphical representation of the proportion relationship between each part or unit to a whole, especially by dividing a circle into various sectors or sections.
Based on the information provided in the table (see attachment), we can logically deduce the following parameters about the various hair color;
Number of brown hair = 1 brown hair.
Number of blonde hair = 4 blonde hair.
Number of black hair = 2 black hair.
Therefore, the total number of hairs is equal to 7 hairs.
For the fraction of students with brown hair, we have;
Fraction = 1/7.
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Given rhombus QRST, find the
perimeter if QU = 3 and RU equals 4.
Q
R
T
U
X
S
The perimeter of the rhombus in this problem is given as follows:
19.8 units.
What is the perimeter of a polygon?The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.
The diagonal length can be obtained as follows:
QU = US = 3.RU = UT = 4.RU + UT = 7.
Applying the Pythagorean Theorem, the side length is obtained as follows:
x² + x² = 7²
2x² = 49
\(x = \sqrt{\frac{49}{2}}\)
x = 4.95.
Then the perimeter is given as follows:
P = 4 x 4.95
P = 19.8 units.
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A man in a photograph is 1.5 inches in height. If the man is 6 feet tall, what is the scale?
SHOW YOUR WORK ON THE BOTTOM OF YOUR EQUATION!!!
PLEASE AND THANK YOU!!
Answer:
To find the scale of the photograph, we need to determine the ratio between the actual height of the man and the height of the man in the photograph.
First, we convert the height of the man from feet to inches:
6 feet = 6 x 12 = 72 inches
Next, we can set up a proportion:
actual height of man / height of man in photograph = scale factor
Substituting the given values, we get:
72 inches / 1.5 inches = scale factor
Simplifying, we get:
scale factor = 48
Therefore, the scale of the photograph is 1:48, which means that one inch in the photograph represents 48 inches (or 4 feet) in real life.
Why is there a letter also on Mathematics?
I mean, there is a letter in English...
I don't know why there is a letter like 2x + 19 and x + 23.
It's really frustrating that there's a letter in Mathematics
They can just do "3*4" instead of "x*4 when x=3"
I know... I know... It's a silly question.
Answer:
Not silly, i understand but "x" is supposed to be a subsitute for a number after the many equations youll be learning in algebra. x can be anything, it isnt set to anykind of specifac number but rather an output of an equation. It is fustrating but i reccomend khan acdemy videos or math nation since they specialze in thses kinds of maths
Step-by-step explanation:
solve each rational equation. list excluded values
x+4/x+5=6/x^2+10+25
A positive integer is 6 less than another. If the sum of the reciprocal of the smaller and twice the reciprocal of the larger is frac(5,9), then find the two integers.
The two integers are equal to 1 and 7 respectively.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Let x represent the smaller number. Then the given relationships say ...
1/x + 2/(x+6) = 9/7
Multiplying by 7x(x+6), we have ...
7(x+6) +14x = 9x(x+6)
9x² +54x = 21x +42 . . . . .eliminate parentheses, swap sides
9x² +33x = 42 . . . . . . . . ...subtract 21x
3x² +11 -14 = 0 . . . . . . . . . .subtract 42 and divide by 3
(3x +14)(x -1) = 0 . . . . . . . . factor
Values of x that make this true are x = 1 and x = -14/3. Then for the positive integer x=1, the other integer is x+6=7.
Therefore, the two integers are equal to 1 and 7 respectively.
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What is the area of a circle with a diameter of 37 inches?
in²
(Use 3.14 for Pi.)
Answer:
1073.45 in²
Step-by-step explanation:
What is the area?The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.
What is the diameter?Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.
The equation to solve for the area of a circle is:
π × \(r^{2}\) = Area of a circleBut wait, we don't have a radius to fix in the equation! Well to solve for the radius when given diameter, we can use the expression:
diameter ÷ 2 = radiusNow that we know this, we can insert 37 in for the diameter:
37 ÷ 2 = 18.5So, the radius of the circle is 18.5 inches.
Inserting 18.5 into the expression for the radius:
π × \(18.5^{2}\) =Using 3.14 for pi:
3.14 × \(18.5^{2}\) = 1073.45 in²Therefore, the area of a circle with a diameter of 37 inches is 1073.45 in².
Prove whether each argument is valid or invalid. First find the form of the argument by defining predicates and expressing the hypotheses and the conclusion using the predicates. If the argument is valid, then use the rules of inference to prove that the form is valid. If the argument is invalid, give values for the predicates you defined for a small domain that demonstrate the argument is invalid.
The domain for each problem is the set of students in a class.
(c)Every student who missed class got a detention.
Penelope is a student in the class.
Penelope got a detention.
Penelope missed class.
(e)Every student who missed class or got a detention did not get an A.
Penelope is a student in the class.
Penelope got an A.
Penelope did not get a detention.
(c) The argument is valid, and we can conclude that Penelope missed class because she got a detention.
(e) The argument is valid, and we can conclude that Penelope did not miss class because she got an A and did not get a detention.
(c) To prove this argument's validity, we need to define the predicates and express the hypotheses and conclusion using them:
Let "M(x)" be the predicate "x missed class", and "D(x)" be the predicate "x got a detention".
Hypotheses: M(Penelope), D(Penelope)
Conclusion: M(Penelope)
Using modus ponens, which states that if P implies Q and P is true, then Q must be true, we can conclude that M(Penelope) is true:
From M(Penelope) and "Every student who missed class got a detention", we have D(Penelope)
From D(Penelope), we have M(Penelope)
So, the argument is valid, and we can conclude that Penelope missed class because she got a detention.
(e) To prove this argument's validity, we need to define the predicates and express the hypotheses and conclusion using them:
Let "M(x)" be the predicate "x missed class", "D(x)" be the predicate "x got a detention", and "A(x)" be the predicate "x got an A".
Hypotheses: A(Penelope), ~D(Penelope)
Conclusion: ~M(Penelope)
Using modus tollens, which states that if P implies Q and Q is false, then P must be false,
we can conclude that M(Penelope) is false:
From A(Penelope) and "Every student who missed class or got a detention did not get an A",
we have ~M(Penelope) & ~D(Penelope)
From ~D(Penelope), we have ~M(Penelope)
So, the argument is valid, and we can conclude that Penelope did not miss class because she got an A and did not get a detention.
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100 points!!!
Solve the following equation:
8x + 3 = 2x + 9
Answer:
\(\Huge \boxed{\boxed{ x = 1}}\)
Step-by-step explanation:
Isolate the variable on one side of the equation before trying to solve it. It means that you should only have constants (numbers) on the other side of the equal sign and the variable alone on the one side.
To do this, you can add, subtract, multiply, divide, or use any other operation to both sides of the equation as long as you do the same thing on both sides.
Your final step depends on the equation and how you've simplified it. In general, you want to figure out how you arrived at the final equation by working backwards from it. You'll isolate the variable in the last action you took.
-------------------------------------------------------------------------------------------------------------
SolutionStep1: Subtract \(\bold{2x}\) from both sides
\(8x + 3 = 2x + 9\)\(8x - 2x + 3 = 2x - 2x + 9\)\(6x + 3 = 9\)Step 2: Subtract 3 from both sides
\(6x + 3 - 3 = 9 - 3\)\(6x = 6\)Step 3: Divide both sides of the equation by 6
\(\frac{6x}{6} = \frac{6}{6}\)\(x = 1\)So the solution to the equation \(\bold{8x + 3 = 2x + 9}\) is \(\bold{x = 1}\).
-------------------------------------------------------------------------------------------------------------
Which expression represents twice the sum of a number and six
Answer:
2(x + 6)
Step-by-step explanation:
If we let the number be "x", then the sum of the number and six is x + 6. To find twice the sum, we multiply this expression by 2:
2(x + 6)
Therefore, the expression that represents twice the sum of a number and six is 2(x + 6)