The length of JL is 9 units. The length of KM is also 9 units. Yes, JL equals KM. Parallelogram JKLM is a rectangle.
To determine if parallelogram JKLM is a rectangle, we need to compare the lengths of its diagonals JL and KM.
Using the distance formula, we can calculate the length of JL:
JL = [tex]√[(x2 - x1)^2 + (y2 - y1)^2][/tex]
JL = [tex]√[(4 - (-8))^2 + (0 - 1)^2][/tex]
JL = [tex]√[12^2 + (-1)^2][/tex]
JL = √[144 + 1]
JL ≈ √145 ≈ 12.04 (rounded to two decimal places)
Using the distance formula, we can calculate the length of KM:
KM = [tex]√[(x2 - x1)^2 + (y2 - y1)^2][/tex]
KM = √[tex][(-6 - 2)^2 + (-4 - 5)^2][/tex]
KM = √[tex][(-8)^2 + (-9)^2][/tex]
KM = √[64 + 81]
KM ≈ √145 ≈ 12.04 (rounded to two decimal places)
Since JL = KM, the lengths of the diagonals are equal. This indicates that the opposite sides of parallelogram JKLM are congruent, which is a characteristic of a rectangle. Therefore, parallelogram JKLM is a rectangle.
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What is the value of n
Answer:
1.5x10^-18
Step-by-step explanation:
8.4x10^9 / x = 5.6x10^27
You could make a proportion:
x(5.6 x 10^27)= 8.4x10^9
divide both sides by 5.6x10^27
x=1.5x10^-18
Answer:
[tex]1.5*10^{-18}[/tex]
Step-by-step explanation:
The question is in the format [tex]\frac{8.4*10^9}{n}=5.6*10^{27}[/tex]
First multiply both sides by n and then divide both sides by the number in scientific notation on the right.
[tex]\frac{8.4*10^9}{5.6*10^{27}}=n[/tex]
We can think of this problem as [tex]\frac{8.4}{5.6}*\frac{10^{9}}{10^{27}}=\frac{8.4}{5.6}*10^9*10^{-27}[/tex]
When dividing like-terms, we subtract their powers (or we can get the multiplicative inverse and add the powers).
We end up with [tex]1.5*10^{-18}[/tex]
Pls help me ill follow u like everything
Answer:
Step-by-step explanation:
Where a number=x
Product of 6= y and z
product of a number(x)=u and v
Determine the truth value of each expression below. The domain is the set of all real numbers.
(a)
∀x∃y (xy > 0)
(b)
∃x∀y (xy = 0)
(c)
∀x∀y∃z (z = (x - y)/3)
(d)
∀x∃y∀z (z = (x - y)/3)
For the given set of expressions the truth values are -
(a) ∀x∃y (xy > 0) - false
(b) ∃x∀y (xy = 0) - true
(c) ∀x∀y∃z (z = (x - y)/3) - true
(d) ∀x∃y∀z (z = (x - y)/3) - true
To determine: Truth value of each expression.
The domain is the set of all real numbers.
(a) ∀x∃y (xy > 0)
We need to check whether the expression xy > 0 holds true for all values of x and there exists a value of y such that the expression holds true.
For x = 0, xy = 0 which is not greater than 0.
So, the given expression is false.
(b) ∃x∀y (xy = 0)
We need to check whether there exists a value of x such that the expression xy = 0 holds true for all values of y.
For x = 0, the expression xy = 0 holds true for all values of y.
Hence, the given expression is true.
(c) ∀x∀y∃z (z = (x - y)/3)
We need to check whether for all values of x and y there exists a value of z such that the expression z = (x - y)/3 holds true.
The expression is true.
We can take z = (x - y)/3.
(d) ∀x∃y∀z (z = (x - y)/3)
We need to check whether for all values of x there exists a value of y such that for all values of z the expression
z = (x - y)/3 holds true.
We can rewrite the given expression as ∃y∀z (z = (x - y)/3)
For x = 0, the value of y = 0, which satisfies the given expression. Hence, the given expression is true.
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Lucky Lumen light bulbs have an expected life that is exponentially distributed with a mean of 20,000 hours. Determine the probability that one of these light bulbs will last between 5500 and 27500 hours.
Integrating the above expression within the given limits will give us the desired probability. However, the calculation involves numerical integration and may require the use of specialized software or calculators.
To determine the probability that a Lucky Lumen light bulb will last between 5500 and 27500 hours, we can use the exponential distribution formula.
The exponential distribution is defined by the probability density function (PDF):
f(x) = (1/μ) * e^(-x/μ)
Where:
μ is the mean of the distribution
In this case, the mean (μ) of the distribution is given as 20,000 hours.
To find the probability that a light bulb will last between 5500 and 27500 hours, we need to calculate the integral of the PDF within that range.
P(5500 < X < 27500) = ∫[5500, 27500] f(x) dx
P(5500 < X < 27500) = ∫[5500, 27500] (1/20000) * e^(-x/20000) dx
Integrating the above expression within the given limits will give us the desired probability. However, the calculation involves numerical integration and may require the use of specialized software or calculators.
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show that if a language l is regular, tail of the language, lt is also regular.
If a language L is regular, then the tail of the language, Lt, is also regular because we can construct a new finite automaton for Lt by adding a new start state and connecting it to the old start state by an ε-transition, and by adding all states that are reachable from an accepting state by an ε-transition.
To show that if a language L is regular, the tail of the language, Lt, is also regular, we need to first understand the concepts of language tails and regular languages.
A language tail is a subset of a language that consists of strings starting at a certain point. In other words, given a language L over an alphabet Σ, the tail of L with respect to a string w is a subset of L that consists of all strings that start with w. The tail of L with respect to the empty string is L itself.
A regular language is a language that can be expressed by a regular expression or generated by a finite automaton. A finite automaton is a mathematical model for a machine that reads a sequence of characters from an input tape and transitions between different states according to the input.
The tail of a regular language is also a regular language. This is because if a language L is regular, then it can be recognized by a finite automaton. We can construct a new finite automaton for the tail of L by starting with the original automaton and adding a new start state that is connected to the old start state by an ε-transition.
This new start state is the start state for the tail language. The accepting states for the tail language are the same as the accepting states for the original language, except that we have to add all states that are reachable from an accepting state by an ε-transition.
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what is the answer to ... log(6xy)
If the radius of a circle is 9 meters, What is the diameter?
Answer: 18 meters
Step-by-step explanation: The radius is always equal to half the diameter.
So the diameter will be twice the radius so we double the radius.
If we double 9, we get 18.
So the diameter of the circle is 18 meters.
Solve for the inverse of the following function:
f(x)=4x-16
how do you factorise x²-6x+5
factor x^2 -6x +5 using AC method
(x- 5) (x- 1)
HELP PLEASE I WILL GIVE BRAINLIEST TO WHOS FIRST
Answer:
whats the question?
Step-by-step explanation:
Ok, what is your question.
I cant show the word problem, but i showed a picture
Answer:
0.67
Step-by-step explanation:
Answer:
.67
Step-by-step explanation:
4 out of 6
4/6=.666
rounded to the nearest hundredth .67
What is the value of the expression?
5^2−(−3)^0
4
22
24
25
Answer:
24
Step-by-step explanation:
5^2-(-3)^0
=25-(-3)^0
=25-3^0
=25-1
24
The cone below has a radius of 10 cm.
30 cm
10 cm'
Calculate the surface area of the cone.
Give your answer correct to 1 decimal place.
Curved surface area of cone= πrl
Answer:
1256.6 cm²
Step-by-step explanation:
A cone is given with base radius of 10 cm and slant height of 30 cm.
π = 3.14159
r = radius = 10 cm
L = slant height = 30 cm
SA = πr² + πrL = πr(r + L)
SA = 3.14159(10 cm)(10 cm + 30 cm)
SA = 1256.636 cm²
Answer: 1256.6 cm²
Write an equation using the image below and then solve for x.
Does this graph show a function? Explain how you know.
A. Yes, the graph passes the vertical line test.
B. No, the graph fails the vertical line test
C. Yes, there are no y values that have more than one x-value
D. No, there are y-values that have more than one x-value
Answer:
id say yes
Step-by-step explanation:
Answer:
Yes it passes the vertical line test i just did it on a.p.e.x
Step-by-step explanation:
Jimmy brings $24 to the county fair for rides. Roller coaster rides cost $2, and the spinning cup rides cost $3. But Jimmy knows that he gets queasy if he takes more than 6 roller coaster rides or more than 8 spinning cup rides. Let r represent the number of roller coaster rides and let s represent the number of spinning cup rides. In addition to r≥0;s≥0, which is a set of of inequalities that Jimmy can use to guide his choice of rides?
Answer:
2r + 3s ≤ 24
r ≤ 6
s ≤ 8
Step-by-step explanation:
Given the following :
Total amount with Jimmy = $24
Cost of Rollercoaster ride (r) = $2
Cost of spinning cup ride (s) = $3
Queasy if r is greater than 6
Queasy if s is greater than 8
Cost of ride :
(Number of r * cost of r) + (number of s * cost of s) ≤ total amount
Hence,
2r + 3s ≤ 24
To avoid getting queasy :
r ≤ 6
s ≤ 8
2r + 3s ≤ 24
r ≤ 6
s ≤ 8
3x over 2 = 6 find the value of x
write the additive inverse of 14/113
Step-by-step explanation:
just opposite it mesn 113/14
What is each of the expression written using each base only once? 10^10 x 10^10
What is 958.24 in expanded form
Answer: 900 + 50 + 8 + 0.2 + 0.04
Step-by-step explanation:
900 + 50 + 8 + 0.2 + 0.04
Answer:
y=958.24
Expanded forms can be written like a sentence or stacked for readability as they are here.
Standard Form:
958.24
HELP ASAP I NEED HELP THIS IS DUE TODAY I WILL MARK BRAINLEAST plsss
Answer:
Step-by-step explanation:
8:00 - Morning Circle
8:20 - Readers Workshop
9:10 - Math
9:55 - Lunch
10:35 - Recess
10:50 - Math Talk
Answer:
Hi ik the the answer
Step-by-step explanation:
8:00 am
8:20 am
9:10 am
9:55 am
10:35 am
10:59 am and they all go in orden so means just put everything like this on to the paper
if a and b are directly proportional and b and c are directly proprtional, then how are a and c related
a and c are directly proportional to each other when a and b are directly proportional and b and c are directly proportional.
If a and b are directly proportional and b and c are directly proportional, it means that their ratios are equal. Direct proportionality implies that as one variable increases, the other also increases in proportion and as one variable decreases, the other also decreases in proportion.
Mathematically, this can be written as
a = kb and b = mc, where k and m are constants of proportionality.
Multiplying these two equations gives: a = kbm
Substituting the value of b from the second equation in the first equation, we get: a = kmc
Therefore, a and c are also directly proportional to each other with a constant of proportionality km.
Thus, if a increases by a certain factor, c will also increase by the same factor.
If a and b are directly proportional and b and c are directly proportional, then it can be concluded that a and c are directly proportional as well.
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What kind of angles are ∠GKJ and ∠HKI ?
The midpoint between (-1, -6) and (-6, 5)
Answer:
(-3.5, -0.5)
Step-by-step explanation:
Kelly purchased 6 planters for a total of $18. She wants to purchase another 16 planters at the same unit price. How much will 16 planters cost? Please help!!!!
Answer:
If 6 planters= $18
then, 16 planters= 16× 18÷6
=$48
Step-by-step explanation: Hope this helps
The cost of 16 planters will be equal to $ 48.
It is given that Kelly purchased 6 planters for a total of $18.
We have to find the cost of 16 planters as she wants to purchase 16 more planters.
If a car goes 10 km in one hours , how far will it go in two hour ?
The car will go, 10 × 2 = 20 km in an hour.
As Kelly purchased 6 planters for a total of $18.
The cost of 1 planter will be = 18 ÷ 6 = 3
The cost of 16 planters will be = 16 × 3 = $ 48.
Thus, the cost of 16 another planters which Kelly want to purchase will be equal to $48.
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POSTING WHAT WASN'T ANSWERED PREVIOUSLY PLEASE ANSWER THESE
1. Let the market demand function for two companies namely, Coca-Cola and Pepsi be given by; Q(p) = 200 - P where Q = 9₁ +92. The cost function for each of the two firms in the industry is C(qi) = 2
The total Quantity demanded is:Q = 9 * (200 - P) + 92On simplifying this expression, we get:Q = 1828 - 9P
Substituting this value of Q in the profit function, we get:Pi = (198 - (1828 - 9P)) * qiOn
simplifying this expression, we get:Pi = (10P - 1630) * qi
This is the profit function for each firm in the industry.
The given market demand function for Coca-Cola and Pepsi is Q(p) = 200 - P. Here, Q denotes the total quantity demanded and P represents the price of the product.
The cost function for each of the two firms is C(qi) = 2q_i where q_i denotes the quantity produced by the ith firm.
Now, we need to determine the profit function for each firm in the industry.
To find out the profit function for each firm, we need to calculate the revenue function and subtract the cost function from it.The revenue function is the product of price and quantity. Therefore, the revenue function for both firms is:Ri = p * qi where Ri is the revenue of ith firm.
The price of each firm is determined by the market demand function as follows:p = 200 - QSubstituting this value of p in the above expression, we get:Ri = (200 - Q) * qi
Now, we need to calculate the profit function for each firm. It is given by the following expression:Pi = Ri - Ci where Pi is the profit of ith firm and Ci is the cost of production of ith firm. Substituting the value of Ri and Ci in the above equation, we get:
Pi = (200 - Q) * qi - 2qiOn simplifying this expression, we get:Pi = (198 - Q) * qiThis is the profit function for both firms in the industry. It is a function of quantity produced by each firm (qi) and total quantity demanded (Q). Hence, the profit of each firm depends on the total quantity demanded and the quantity produced by the firm.
The given demand function is Q(p) = 200 - P. Here, we are given Q = 9₁ + 92.
Therefore, the total quantity demanded is:Q = 9 * (200 - P) + 92On simplifying this expression, we get:Q = 1828 - 9P
Substituting this value of Q in the profit function, we get:Pi = (198 - (1828 - 9P)) * qiOn
simplifying this expression, we get:Pi = (10P - 1630) * qi
This is the profit function for each firm in the industry.
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help please
Fill in the Y intercept to complete the function equation
Answer:
6
Step-by-step explanation:
Multiply 2/5 by the first x value:
2/5x = 2/5 • 5 = 10/5 = 2.
Now, we have to find out ? + 2 = 8:
6 + 2 = 8
If you solve for the others, this is a proportional relationship, or has a pattern.
y = 2/5x + 6
Point F is on line segment EG. Given FG = 3x - 5, EF = 2, and
EG = 5x – 8, determine the numerical length of FG.
Answer:
2.5
Step-by-step explanation:
EG = EF + FG;
5x-8 = 2 + 3x-5
2x = 5
x = 2.5
FG = 3x-5 = 2.5
pls help pls help pls help pls help
Answer:
The slope of the line would be -5/3(the red one)
Step-by-step explanation:
in triangle pqr pq=39 in pr=17in, the height pn is 15in. find qr
The value of QR is 3√290.
Given, In triangle PQR
PQ = 39 in PR = 17 in Height PN = 15 in
We need to find QR.
In the right-angled triangle PNR, using Pythagoras theorem,
PN² + PR² = NR²15² + 17²
= NR²NR² = 15² + 17²NR
= √(15² + 17²)NR = √(225 + 289)NR
= √514
Now, in the right-angled triangle PQN,
using Pythagoras theorem,
QR² = PN² + PQ²QR² = 15² + 39²QR²
= 225 + 1521QR² = 1746QR
= √1746QR = 3√290
Thus, the value of QR is 3√290.
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