(x - 45) / 3 = 192
Let's solve for x to find how much Candice was paid. Multiply both sides by 3
(x - 45) = 576
Add 45 to both sides.
x = 621
Candice was paid $621
A ramp is 50 feet long and has a 6° incline. a second ramp is 30 feet long and runs parallel to the first ramp. to determine the vector representing the shorter ramp, what scalar must be multiplied to the vector representing the first ramp?
To determine the vector representing the shorter ramp, we must multiply the vector representing the first ramp by a scalar, whose value lies between 0 and 1.
What are scalars?These are the quantities that only have magnitude.
What are vectors?These are the quantities that have both magnitude and direction.
Given:
First ramp is 50 feet long and has a 6° incline.Second ramp is 30 feet long and runs parallel to the first ramp.From this, we can observe that the magnitude of the first ramp is greater than that of the second ramp. Because of a smaller magnitude, in order to obtain a vector for the second ramp from the first ramp, we will multiply a scalar value, ranging from 0 to 1 with the vector of the first ramp.
Hence, to determine the vector representing the shorter ramp, we must multiply the vector representing the first ramp by a scalar between 0 and 1.
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Mr. Gates has $52 in his bank account. What will his account balance be after a purchase of $33 and then a deposit of $29?
Answer:
the answer is 48
Step-by-step explanation:
What is sextillion divided by nonmillion times 10,000 minus 200 million plus 5000.
The answer to this arithmetic expression is approximately 9.9998 x 10¹⁸
Define the term expression?A combination of numbers, variables, and operators that represents a quantity or mathematical relationship is called an expression.
First, divide sextillion (10²¹) by nonmillion (10⁶) to get 10¹⁵.
Next, multiply 10¹⁵ by 10,000 to get 10¹⁹.
Subtract 200 million (2 x 10⁸) from 10¹⁹ to get 9.9998 x 10¹⁸.
Finally, add 5,000 to get the result of approximately 9.9998 x 10¹⁸ + 5,000 = 9.9998 x 10¹⁸ + 0.0005 x 10¹⁸ = 9.9998 x 10¹⁸.
Therefore, the answer to this arithmetic expression is approximately 9.9998 x 10¹⁸
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Al vender una refrigeradora, gané s/. 580. Si después de la venta gasté s/. 1 260 y me queda s/. 480, ¿Cuánto costó la refrigeradora?
Answer:
english plz
Step-by-step explanation:
10 pythagorean theorem
Answer:
the answer is d
Step-by-step explanation:
Answer:
look at the photo..................
Please number 15 please help
Answer:
24/30 - 6
21/30 - 3
28/32 - 4
20/25 - 5
Step-by-step explanation:
We need to find the greatest common factor (GCF) for all four of these fractions.
To find the GCF of a fraction, you must list the factors of the numerator and denominator, then determine the largest factor that both numbers have in common.
Remember, factors are numbers that we multiply together to get another number.
------------------------------------------------------
Let's find the GCF of 24/30.
First, we have to list the factors of the numerator and the denominator.
24: 1, 2, 3, 4, 6, 12, 24
30: 1, 2, 3, 5, 6, 10, 15, 30
Then, we determine the largest factor that both numbers have in common.
The largest factor that they have in common is 6. So, the GCF is 6.
------------------------------------------------------
GCF of 21/30.
21: 1, 3, 7, 21
30: 1, 2, 3, 5, 6, 10, 15, 30
The largest factor that they have in common is 3. So, the GCF is 3.
------------------------------------------------------
GCF of 28/32.
28: 1, 2, 4, 7, 14, 28
32: 1, 2, 4, 8, 16, 32
The largest factor that they have in common is 4. So, the GCF is 4.
------------------------------------------------------
GCF of 20/25.
20: 1, 2, 4, 5, 10, 20
25: 1, 5, 25
The largest factor that they have in common is 5. So, the GCF is 5.
Find the arc length of the curve below on the given interval. y 1 X for 1 ≤ y ≤3 4 8y² The length of the curve is (Simplify your answer.)
The problem involves finding the arc length of the curve defined by y = 8y² on the interval 1 ≤ y ≤ 3. The length of the curve can be calculated using the arc length formula.
To find the arc length of the curve defined by y = 8y² on the interval 1 ≤ y ≤ 3, we can use the arc length formula. The arc length formula allows us to calculate the length of a curve by integrating the square root of the sum of the squares of the derivatives of x and y with respect to a common variable (in this case, y).
First, we need to find the derivative of x with respect to y. By differentiating y = 8y² with respect to y, we obtain dx/dy = 0. This indicates that x is a constant.
Next, we can set up the arc length integral. Since dx/dy = 0, the arc length formula simplifies to ∫ √(1 + (dy/dy)²) dy, where the integration is performed over the given interval.
To calculate the integral, we substitute dy/dy = 1 into the formula, resulting in ∫ √(1 + 1²) dy. Simplifying this expression gives ∫ √2 dy.
Integrating √2 with respect to y over the interval 1 ≤ y ≤ 3 gives √2(y) evaluated from 1 to 3. Thus, the arc length of the curve is √2(3) - √2(1), which can be further simplified if needed.
The main steps involve finding the derivative of x with respect to y, setting up the arc length integral, simplifying the integral, and evaluating it over the given interval to find the arc length of the curve.
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For all values of x f(x)=2x+1 composite functions
Answer:
x = - 2 , 0
Step-by-step explanation:
to find f(g(x)) substitute x = g(x) into f(x)
f(g(x))
= f(x²)
= 2x² + 1
to find g(f(x)) substitute x = f(x) into g(x)
g(f(x))
= g(2x + 1)
= (2x + 1)²
= 4x² + 4x + 1
now equate the 2 expressions
4x² + 4x + 1 = 2x² + 1 ( subtract 2x² from both sides )
2x² + 4x + 1 = 1 ( subtract 1 from both sides )
2x² + 4x = 0 ← factor out 2x from each term on the left side
2x(x + 2) = 0
equate each factor to zero and solve for x
2x = 0 ⇒ x = 0
x + 2 = 0 ⇒ x = - 2
then x = - 2 , 0
evaluate the integral. (remember to use absolute values where appropriate. use c for the constant of integration.) cos(x) 5 − sin(x) dx
The integral of (cos x)/ (5 - sin x) dx is -ln |5 - sin x| + C, which is the constant of integration.
The integral that needs to be evaluated is:∫(cos x)/ (5 - sin x) dx Now, we need to put u = 5 - sin x.
Thus, du/dx = -cos x. dx
= -du/cos x = (-1/cos x) du
Now, the integral becomes:∫(-1/cos x) [du/u]
Now, we can write this as:
∫-sec x [du/u] = -ln |u| + C
Substituting the value of u:
∫-sec x [du/(5 - sin x)]
= -ln |5 - sin x| + C
Therefore, the answer to the given integral is -ln |5 - sin x| + C, where C is the constant of integration.
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I want to choose a license plate which is 3 characters long, where the first character is a letter, the last character is a digit, and the middle is either a letter or a digit. I also want there to be two characters on my license plate which are the same. How many ways are there for me to choose a license plate with these restrictions
Answer:
Step-by-step explanation:
* * *
let the middle digit is a letter.
as first and second letters are same so consider them as one letter.
It can be filled in 26 ways.
third place is filled in 10 ways (0,1,2,3,4,5,6,7,8,9)
total number of ways=26×10=260 ways
again consider second place is a digit.
so consider second and third place as one digit.
it can be filled in ways=10
first place can be filled in ways=26
Hence number of ways=26×10=260
so total number of ways=260+260=520
Which equation can be used to solve for in the following diagram?
(A) - (5x + 30) + 5x=90
(B) - (5x + 30) + 5x = 180
(C) - (5x + 30) - 5x = 90
(D) - 5x = (5x + 30)
Answer:A
Step-by-step explanation:
why is water a necessary element for our bodies to function properly? summarize what can happen if a person becomes dehydrated.
Aid in the elimination of metabolic byproducts, excess electrolytes (for example, salt and potassium), and urea, a waste product generated during the digestion of ingested protein. Sweating helps to regulate body temperature.
Why is water a necessary element for our bodies to function properly?Maintain a regular body temperature. Joints should be lubricated and cushioned. Safeguard your spinal cord and other delicate structures. Wastes can be eliminated by urine, sweat, and bowel motions. Dehydration can also cause a decrease in strength and stamina. It is the most common cause of heat exhaustion. At this point, you should be able to reverse dehydration by consuming extra fluids. Chronic dehydration might impair your kidney function and raise your risk of kidney stones. Water also helps with normal bowel function, muscular performance, and clean, young skin. Failure to drink enough water, on the other hand, can result in dehydration and negative symptoms such as weariness, headache, reduced immunity, and dry skin.
Here,
Assist in the elimination of metabolic byproducts, excess electrolytes (for example, salt and potassium), and urea, a waste product generated during the digestion of ingested protein. Sweating regulates body temperature.
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i need the awnsers to this asap
Answer:
27.2 I believe
Step-by-step explanation:
Theren is a pattern in the numbers, the dollar is going up by 2 while the cents are going down by 2, if you follow the pattern till you get to 15 in pounds, the you'll get 27.2
Graph the line that represents the equation please
Answer:
graph it on -1/2
Step-by-step explanation:for the y-axis you would put it on -1 and for the x axis put it on 2 :) if its wrong please lmk! or if you need help let me know
Please help me!!!!! AND DO NOT GIVE ME NO GOD DAM LINKS!!!!!!!!!!!! :)
Answer:
I dont know the answer
Step-by-step explanation:
One of the disadvantages of simulation is that it Group of answer choices Is a trial-and-error approach that may produce different solutions in different runs. Interferes with production systems while the program is being run. Is very limited in the type of probability distribution that can be used. Does not allow for very complex problem solutions. Is not very flexible.
The disadvantage of simulation mentioned in the question is that it is a trial-and-error approach that may produce different solutions in different runs.
This variability introduces uncertainty and may make it hard to achieve constant and reliable consequences. Moreover, the execution of simulation programs can interfere with manufacturing structures, inflicting disruptions or delays in real-international operations.
Additionally, simulations regularly have obstacles within the styles of chance distributions they can efficaciously version, potentially proscribing their accuracy and applicability in certain situations. Furthermore, even as simulations are valuable for information and reading structures, they may war to deal with pretty complex problem answers that contain complicated interactions and dependencies.
Lastly, simulations can lack flexibility as they're usually designed for unique purposes and may not easily adapt to converting situations or accommodate unexpected elements.
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What should be done to both sides of the equation in order to solve 5 + x = -19?
Calculate the indicated function values
f(x)=3x g(x)=10x+4 h(x)=x^2 -x
Find f(s)
Answer:
asggbhbhjwdbjhbwdhb wdjjkdw
Step-by-step explanation:
Mr Yang was a director of the companies, DEF Sdn Bhd, MNO Sdn Bhd and PQR Sdn Bhd, which were wound up for the last 10 years ago. Now he wants to set up his new company under the types of limited by shares to import salted fish. Mr Yang is also an auditor of his wife company, Lovely Sdn Bhd for 3 years. Mr Yang seek for your advice as he need to know his legal position before he wants to open his new company.
Mr Yang needs to be aware of his legal position before opening his new company, given his history as a director and auditor. He should seek professional advice to ensure that he complies with all the legal requirements and regulations and avoids any potential legal consequences.
It is important for Mr Yang to understand his legal position before opening a new company, given his history as a director of previously wound-up companies and as an auditor of his wife's company. Mr Yang should take into account the Companies Act 2016, which outlines the legal responsibilities and obligations of company directors, as well as the potential consequences of breaching these obligations.
Under the Companies Act 2016, a director has a fiduciary duty to act in the best interests of the company and its shareholders. They are required to exercise due care, skill, and diligence in carrying out their duties, and to avoid conflicts of interest. If a director breaches these obligations, they can be held personally liable for any losses suffered by the company.Given that Mr Yang's previous companies were wound up, it is possible that he may have breached his legal obligations as a director. If this is the case, he could face legal action or be disqualified from acting as a director in the future. Furthermore, as an auditor of his wife's company, Mr Yang should ensure that he is fulfilling his legal responsibilities and carrying out his duties impartially and professionally.In terms of setting up a new company, Mr Yang should ensure that he complies with all the legal requirements and regulations governing the incorporation of a limited by shares company. This includes registering the company with the Companies Commission of Malaysia (SSM), obtaining the necessary licenses and permits, and adhering to the requirements of the Companies Act 2016.
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PLEASE HURRY!!!!!!!!
For every 3 packages that Marcella wraps, she uses 1/2
of a roll of wrapping paper.
If she uses 2 1/2
rolls of wrapping paper, how many packages has she wrapped?
Enter your answer in the box.
Answer:
To calculate how many packages Marcella has wrapped, you need to first calculate how many packages each roll of wrapping paper can be used for. Since Marcella uses 1/2 of a roll of wrapping paper for every 3 packages, it follows that she can wrap 3 packages for every 1/2 roll of wrapping paper. Therefore, 2 1/2 rolls of wrapping paper can be used to wrap 15 packages.
Please do it with step by step explanation it will help me so much thanks!
Carolyn is searching online for tickets to a concert. Two weeks ago, the cost was $30. Now the cost is $39.
a. What is the percent increase?
b. What would be the percent increase if the ticket agent charges an additional $4.50 fee with the new ticket price?
Answer:
A) The percent increase is by 30%.
B) for the original price = 15%.
B2.0) for the existing price (39) = approximately 11.54%.
Step-by-step explanation:
A) First, we divide 30 by 100. The result is the amount that 1% would be(0.3). If you multiply it by 30(which will become 30%) it will be 9. And from 30-39 is 9.
B) First we divide 30 by 100. The result is the amount that 1% would be(0.39). then if you multiply it by 11.54(which will become 11.54%) it will be 4.50(approximately because it actually is 4.5006 and there is no amount that ends up in 4.50). But if you are asking what percentage from the original cost(30) it would be 15% of it(because 0.3 * 15 = 4.50).
PLS HELP ME AHHHHHHHHAASFVAFAFEAFBAFBAFB
Answer:
42/6
Each color blocks have 6 each, and they're 7 groups of them. Simple.
consider the vector v = ⎡ ⎣ 2 3 4 ⎤ ⎦. is the transformation t (x) = v · x (the dot product) from r3 to r linear? if so, find the matrix of t .
From the given information provided, the transformation t(x) = v · x is linear. The matrix is [t] = ⎡ ⎣ 2 3 4 ⎤ ⎦.
To find the matrix of t, we need to apply the transformation to the standard basis vectors of R₃, which are:
e1 = ⎡ ⎣ 1 0 0 ⎤ ⎦
e2 = ⎡ ⎣ 0 1 0 ⎤ ⎦
e3 = ⎡ ⎣ 0 0 1 ⎤ ⎦
So, we have:
t(e1) = v · e1 = (2)(1) + (3)(0) + (4)(0) = 2
t(e2) = v · e2 = (2)(0) + (3)(1) + (4)(0) = 3
t(e3) = v · e3 = (2)(0) + (3)(0) + (4)(1) = 4
Therefore, the matrix of t is:
[t] = ⎡ ⎣ 2 3 4 ⎤ ⎦
This is a 1x3 matrix, since the transformation t goes from R₃ to R₁.
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how many terms are in 6m+6n
8-42. Examine the diagram at right. Given that ()/(_(()/())ABC)~()/(_(()/()))=EDF, is ()/(_(()/())DBG) is isosceles? Prove your answer. Use any format of proof that you prefer. Homework Help
Triangle DBG is isosceles and BD = BG.
What is Triangle?A triangle is a closed two-dimensional geometric shape with three straight sides and three angles. It is one of the basic shapes in geometry and has a wide range of applications in mathematics, science, and engineering.
To prove that triangle DBG is isosceles, we need to show that BD = BG.
First, we can use the given similarity to find the length of DF in terms of EB and EC. Since triangle ABC is similar to triangle EDF, we have:
AB:BC = ED:DF
Substituting the given values, we get:
2:3 = ED:DF
Multiplying both sides by DF, we get:
DF = (3÷2)ED
Next, we can use the fact that triangles EDF and EBG are similar (since they share angle E) to find the length of BG in terms of EB and DF:
ED/EB = BG/DF
Substituting the value we found for DF, we get:
ED/EB = BG/(3/2)ED
Multiplying both sides by (3/2)ED, we get:
BG = (3/2)ED²/ EB
Now we can use the Pythagorean theorem to find the lengths of BD and BG in terms of EB and EC:
BD² = BE² + ED²
BG² = BE² + EG²
Since EG = EC - BD, we can substitute BD = EC - EG in the first equation to get:
BD² = BE² + ED² = BE² + (3/2)ED²
Substituting the expression we found for BG in terms of ED and EB in the second equation, we get:
BG² = BE² + (3/2)ED²/EB² * BE²
Simplifying this expression, we get:
BG² = BE²(1 + 3ED²/2EB²)
Since we know that ED/EB = 2/3, we can substitute this value to get:
BG² = BE²(1 + (3/2)(4/9)) = BE²(25/18)
Therefore, we have:
BD² = BE² + (3/2)ED² = BE² + (3/2)(9/4)BE² = (15/8)BE²
BG² = BE²(25/18)
To show that BD = BG, we can compare the squares of these lengths:
BD² = (15/8)BE²
BG² = BE²(25/18)
Multiplying both sides of the first equation by 18/25, we get:
(18/25)BD² = (27/40)BE²
Substituting the expression for BG² in the second equation, we get:
(18/25)BD² = (27/40)BG²
Therefore, we have:
BD² = (27/40)BG²
Taking the square root of both sides, we get:
BD = (3/4)√(10) * BG
Substituting the expression we found for BG in terms of ED and EB, we get:
BD = (3/4)√(10) * (3/2)ED²/EB
Substituting the value of ED/EB = 2/3, we get:
BD = (3/4)√(10) * (3/2)(4/9)ED²
Simplifying this expression, we get:
BD = (2/3)√(10)ED²
Next, we can substitute the value we found for DF in terms of ED to get:
DF = (3/2)
Therefore, triangle DBG is isosceles and BD = BG.
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research reveals that emotional people tend to be more satisfied with their jobs, committed to their employer, and produce more work than conscientious individuals.
The research reveals that emotional people tend to be more satisfied with their jobs, committed to their employer, and produce more work than conscientious individuals is False.
Emotional intellect is the capacity to recognize and regulate a person's emotions and comprehend the emotions the others. A high EQ helps you to build connections, lower team stress, defuse battles and improve job fulfillment.
It can help a graduate evolve the best at what they do, be the best coworker possible, and achieve professional victory. Communication, partnership, and relationship-building skills are enhanced by higher levels of emotional intelligence. It also enables best focus on the work.
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The complete question is-
research reveals that emotional people tend to be more satisfied with their jobs, committed to their employer, and produce more work than conscientious individuals.
a. True
b. False
What would be the monthly payment,if there were equal monthly payments !!! Due soon. Please help
Answer:
I don't get the question
A car travels at a speed of 55 km/h. Find the distance travelled by the car in 12 minutes 30 seconds , giving your answer in metres
Step-by-step explanation:
S=vt
v=55kmh^-¹
55×1000
=_______ms^-¹
60×60
=15.2778ms^-¹
t=12 min 30s
=12×60+30
=750s
so, s(distance)=750×15.2778 m =11458.35 m
answer for lots of points brainliest if right
The table shows the cost for ordering a certain number of t-shirts. Which of the following represents the value of x if the cost is proportional to the number of t-shirts ordered?
Answer:
52.50
Step-by-step explanation: