The bearing of L from N is 343°.
We have,
The bearing of M from L is 103⁰.
So, bearing from L to N opposite side
= 180 - (103 + 60)
= 180 - 163
= 17
Then, the bearing of L from N
= 360 - 17
= 343°
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2n+19≤10+n or -3n+3<-2n+33 solve and graph the solution if possible
The required solution of the given inequalities is given as -30 < n ≤ -9. And the graph of the solution to the inequalities has shown.
What is inequality?Inequality can be described as the connection of the equation holding the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
First,
2n + 19 ≤ 10 + n
simplifying,
n ≤ -9
Second,
-3n+3<-2n+33
n > -30
The shaded portion in the graph shows the solution to the inequalities.
Thus, the solution of inequality lies between -30 < n ≤ -9.
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y=\sqrt(-x^(2)+2x) . tìm giá trị lớn nhất của hàm số
Answer:
UM hello how are you im njot really gonna answer anywaysss byee
Sarah bought a dish washer for $6,000 in the year 2000. It
depreciates by 2% per year. What is the value of the dish
washer in 2001?
What is the next fraction in this sequence? Simplify your answer. 4 5 , 2 3 , 8 15 , 2 5 , ...
Answer:
4/15
Step-by-step explanation:
To simplify this question, to make it easier to be solved, we try and make sure that all the fractions have the same denominator. This is done by saying
4/5
2/3
8/15
2/5
From the aforelisted numbers, the highest denominator is 15, and thus, we try to make all the denominators 15
4/5 * 3/3 = 12/15
2/3 * 5/5 = 10/15
8/15 * 1/1 = 8/15
2/5 * 3/3 = 6/15
I multiplied it that way, so that it's decimal value doesn't change, even as it gives us the required fraction.
From the new crop of fractions, we have
12/15
10/15
8/15
6/15
If there's anything, we can tell that the sequence is reducing in a -2/15 rate, and thus, our next sequence has to be 4/15
2x(4+1)+(3x+5)+(2x+1)
10. dice when a pair of dice is rolled, what is the probability tha tthe sum of the dice is 5, given that exactly one of the dice shows a 3?
The probability sum of the dice is 2/11.
Let A be the event that the sum of dots is 5, then
A={(1,4), (2,3), (3,2), (4,1)}
n(A)=4
And, B is the event that one die shows a "one"
B={(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (3,1), (4,1), (5,1), (6,1)}
n(B)=11
The Event that some of the dots are five and one of the die shows "one".
A intersection B = {(1,4), (4,1)}
Since n(A) = 36 (thirty-six possible samples of two dice)
P(A)=4/36
P(B)=11/36
P(A intersection B)=2/36
So, the required probability is
P(A|B)=P(A intersection B)/P(B) =2/11
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PLEASE HELP :((((
What is the first step in evaluating the expression shown below?
88 (3.7 + 4.3) – 2 2.6
88(3.7+4.3)-2*2.6
88(8)-2*2.6
704-2*2.6
704-5.2
698.8
I hope it helps!
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If 4 people can paint 2 fences in 5 hours, how many hours in all will it take for 8 people to paint 8 fences.
Answer:
Using unitary method, 8 people will paint 8 fences in 10 hours.
What is unitary method?
The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Time taken by 4 people to paint 2 fences = 5 hours
Time taken by 8 people to paint 2 fences = 5/2 hours = 2.5 hours
Time taken by 8 people to paint 1 fence = 2.5/2 hours = 1.25 hours
Time taken by 8 people to paint 8 fences = 1.25 * 8 = 10 hours
Step-by-step explanation:
(had this same question before)
Label the rotated image PQR. Let P represent A'. Q represent B', and R represent C.
Tell whether the angles are adjacent or vertical. Then find the value o
75°
(4x-25)°
The angles are
vertical
z=
The given angles are vertical and have a measure of 75°. The value of the angle (4x-25)° is also 75°, and the value of x is 25.
The given angles are vertical angles, which means they are opposite angles formed by the intersection of two lines.
Vertical angles are always congruent, which means they have the same measure. Hence, we can set the two given angles equal to each other and solve for the value of x. 75° = (4x-25)°
Adding 25 to both sides, we get: 100° = 4x
Dividing both sides by 4, we get: x = 25 Hence, The value of the angle (4x-25)° is: (4x-25)° =
\((4 \times 25-25)°\)
= 75°
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what is the midpoint of the line segment with endpoints (3.2,2.5) and (1.6,-4.5)?
Answer:
Midpoint: (2.4, -1)
Step-by-step explanation:
Midpoint Formula: \((\frac{x1+x2}{2} , \frac{y1+y2}{2} )\)
With that in mind,
(3.2 + 1.6)/2 = 2.4
(2.5 - 4.5)/2 = -1
Answer:
(2.4, -1)
Step-by-step explanation:
To find the x coordinate of the midpoint, average the x coordinates
(3.2+1.6)/2 = 4.8/2 = 2.4
To find the y coordinate of the midpoint, average the y coordinates
(2.5+-4.5)/2 = -2/2 = -1
(2.4, -1)
Solve for x. -16 = x/4 + 2
72
0 -32
O -72
O 32
Answer:
x = - 72
Step-by-step explanation:
Given
- 16 = \(\frac{x}{4}\) + 2 ( subtract 2 from both sides )
- 18 = \(\frac{x}{4}\) ( multiply both sides by 4 to clear the fraction )
- 72 = x
Answer is = - 72
It's a Right answer....
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HELPPPP PLSSSSSSSSSSSSSSSS
Answer:
x = 10
Step-by-step explanation:
9x + 9 = 8x + 19
9x - 8x = 19 -9
x =10
Answer:
10
Step-by-step explanation:
Angles are alternate exterior and congruent
9x + 9 = 8x + 19
9x - 8x = 19 - 9
x = 10
there are a total of 30 students in a math class. the number of boys is 2 more than 3 times the number of girls. how many boys are in this math class?
Answer:23
Step-by-step explanation:
Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. A sample of 3000 bacteria selected from this population reached the size of 3622 bacteria in six hours. Find the hourly growth rate parameter.
The hourly growth rate parameter for the bacterial population is approximately 0.0415, indicating an exponential growth model.
In a continuous exponential growth model, the population size can be represented by the equation P(t) = P0 * e^(rt), where P(t) is the population size at time t, P0 is the initial population size, e is the base of the natural logarithm, and r is the growth rate parameter. We can use this equation to solve for the growth rate parameter.
Given that the initial population size (P0) is 3000 bacteria and the population size after 6 hours (P(6)) is 3622 bacteria, we can plug these values into the equation:
3622 = 3000 * e^(6r)
Dividing both sides of the equation by 3000, we get:
1.2073 = e^(6r)
Taking the natural logarithm of both sides, we have:
ln(1.2073) = 6r
Solving for r, we divide both sides by 6:
r = ln(1.2073) / 6 ≈ 0.0415
Therefore, the hourly growth rate parameter for the bacterial population is approximately 0.0415.
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How many years does it take an account with a principal of $400 and an annual simple interest of 2% to double?
Determine the minimal number of stages of a shift register
necessary for generating following sequence 0 1 0 1 0 1 1 0.
Hence, a shift register with a minimum of 8 stages would be necessary to generate the given sequence.
To determine the minimal number of stages of a shift register necessary for generating the given sequence, we need to find the length of the shortest feedback shift register (FSR) capable of generating the sequence.
Looking at the sequence 0 1 0 1 0 1 1 0, we can observe that it repeats after every 8 bits. Therefore, the minimal number of stages required for the shift register would be equal to the length of the repeating pattern, which is 8.
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Find the unit rate to 30 1/2 and 1 1/4
Answer:
24.4
Step-by-step explanation:
yw
que es una organizacion
por favor es urgente
Step-by-step explanation:
Las organizaciones son estructuras administrativas y sistemas administrativos creadas para lograr metas u objetivos con el apoyo de las propias personas, o con apoyo del talento humano o de otras características similares.
declan deposits $850 into a savings account that pays 3.4% annual interest compounded quarterly. what will be the balance after 5 years?
Answer:
the answer should be $994.5
The balance after 5 year comes out to be $3552.80
What is compound interest ?Compound interest is the interest on savings that is computed using both the original principal and the interest accrued over time. It will accelerate the growth of a sum more quickly than simple interest, which is only applied to the principal sum.
Here,
The declan deposits $850 into a savings account that pays 3.4% annual interest compounded quarterly.
Thus rate= 3.4% and principle amount = 850
Therefore it is compounded quartely,
The balance after year=
\(C=Pe^{rt}\)
\(C= 850 e^{3.5(5)}\\\\C= 850 e^{17.5}\)
C = 3552.80
Therefore, the balance after a year comes out to be $3552.80
Therefore the balance comes out to be after compounded annually is
$3552.50
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a certain number was multiplied by 5, then decreased by 3, then halved. the result was 0.3 less than the original number. what was the original number?
Answer:
0.72 is the original number
If you help me, I shall be your friend! :)
PLEASE HELP ME!!!
For each equation below, decide what value, if any, would make it true.
( Please no links, and don't answer unless you're actually going to help me)
Answer:
h=9
r=3
and im not so sure about the other 2
Answer:
h = 81
r = N/A
a = 36\pi ^2\\
b = N/A
Step-by-step explanation:
solve the following system of linear equations. Enter the solution as an ordered pair. For parametric solutions use y=t as the parameter. (If an answer does not exist, enter DNE.) {
4x−6y
−5x+8y
=−4
=2
The calculated solution to the systems of equations is (-10, -6)
Solving the systems of equations graphicallyFrom the question, we have the following parameters that can be used in our computation:
4x - 6y = -4
-5x + 8y = 2
Multiply (1) by 5 and (2) by 4
So, we have
20x - 30y = -20
-20x + 32y = 8
Add the equations
2y = -12
Divide by 2
y = -6
Recall that
4x - 6y = -4
So, we have
4x - 6 * -6 = -4
4x + 36 = -4
Evaluate the like terms
4x = -40
So, we have
x = 10
Hence, the solution to the system of equations is (-10, -6)
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add me and starts streaks. i need a higher snapscore, mine got hacked
Answer:
Step-by-step explanation:
Alice is willing to spend $30 on a pair of jeans and has a coupon for $10 off she found online. She selects and purchases a $35 pair of jeans, pre-discount. Determine whether this would create a producer or consumer surplus and calculate the ensuing surplus.
Consumer surplus $5 as we solve the Q by given data
Consumer surplus is the difference between the consumer's willingness to pay and the price of the commodity.
Consumer surplus in economics, also called social surplus or consumer surplus, is the difference between the price a consumer pays for a commodity and the price the consumer is willing to pay in exchange for giving it up.
Producer surplus is the difference between the price of a commodity and the lowest price at which a seller is willing to sell it.
Consumer Surplus = Willingness to Pay - Price of the Good.
Item Price = $35 - $10 = $25
$30 - $25 = $5
Producer surplus is the difference between the price of a commodity and the lowest price at which a seller is willing to sell it.
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A two digit number exceeds the sum of the digits of that number by 18. If the digits at the unit's place is double the digit in the ten's place, find the number
Answer:
The number is 24
Step-by-step explanation:
Let the two digits number be ab
In real terms, this is 10a + b
So, we have that the sum of the digits subtracted from 10a + b is 18
Mathematically, we have this as;
10a + b - (a + b) = 18
10a + b - a - b = 18
9a = 18
a = 18/9
a = 2
We are also told that the digit at the units place b is double the digit at the ten’s place a
That means b = 2a
b = 2 * 2 = 4
What do you notice when you compare the answers of problems 11-13 and
14-16?
Answer:
they're both two units apart
Step-by-step explanation:
What is the number word for the following number?
7,329
Hey there!
7,329
= 7,000 + 300 + 20 + 9
= 7,300 + 20 + 9
= 7,320 + 9
= 7,329
7,000
= seven thousand
300
= three hundred
20
= twenty
9
= nine
Therefore, your answer should be:
[seven thousand, three hundred twenty-nine]
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Find the slope show your work you don't have to do them all I just need some of them done please
Answer: 1. Slope equals 3/4 or 0.75, 2. Slope equals -5/2 or -2.5
Step-by-step explanation:
1. Subtract y coordinates 4 and -2 to get 6. Then subtract x coordinates 4 and -4 to get 8, so that is equal to 6/8. Then simplify to get 3/4 or 0.75
2. Subtract y coordinates 10 and -5 to get -15. Then subtract x coordinates 0 and -6 to get 6, so that is equal to-15/6. Then simplify to get -5/2 or -2.5.
Which value of m is a counterexample for the following statement?
If m is an odd prime number, then m + 2 is also prime.
7
3
5
9
11
Answer: 7
The prime numbers here are 3, 5, 7, and 11. This means that 9 is not prime. Since 7 +2 is 9, this disproves that m + 2 is also prime.
Would appreciate brainly <3
Answer:
true
Step-by-step explanation:
because you can start at zero and go on forever adding twos but it'll still be the same