Write this number in standard form:
(2x1) + (6x1000) + (4x1/10) + (5x1/1000) + (7x10)
Answers
Answer: 6072.405
Step-by-step explanation:
1. First make each term simplified, for instance, (2x1) is 2
2. Do this for all of them but turn the fractions into decimals, for example, (4x1/10) is 4/10 is 0.4
3. Add all of them together to get 6072.405
Related Questions
is 6:4 and 4:3 equivalent ratios?
Answers
Answer:
nooooo
Step-by-step explanation:
an equivalent ratio to 6:4 would be 3:2 and an equivalent ratio for 4:3 would be 8:6
hope this helps! :)
The ratios 3:2 and 4:3 are not the same ratio, we can conclude that 6:4 and 4:3 are not equivalent ratios.
What are ratios and proportions?A proportion is a statement that two ratios are equal. It compares two ratios and states that they are equivalent.
No, the ratios of 6:4 and 4:3 are not similar. We must reduce each ratio to its simplest form in order to determine whether two ratios are equivalent (by dividing both the numerator and denominator by their greatest common factor).
For 6:4, the greatest common factor is 2, so we can simplify to:
6:4 = 3:2
For 4:3, there are no common factors other than 1, so it is already in its simplest form.
Since 3:2 and 4:3 are not the same ratio, we can conclude that 6:4 and 4:3 are not equivalent ratios.
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Write an equation of the line that goes through the points (-2,-2) and (-4,-4).
PLEASE ANSWER
Answers
y=x
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Answer:
Y=x
Step-by-step explanation:
it's a straight line passing by the center (0,0) at 45°
You can tell because Y is equal to X for every value of X and the points you posted fall in this case.
2.) Helen is considering two different moving services. Service A charges a $15 monthly fee for unlimited streaming of movies and $2.50 per DVD rental. Service B charges a $12 monthly fee for unlimited streaming of movies and $3.50 per DVD rental. The system of equations below describes the relationship between the number of DVDs rented per month (x) and the monthly cost (y), in dollars for both services.
y = 15.00 + 2.50x AND y = 12.00 + 3.50x Which statement about the costs of the movie services is true?
A. When Helen rents fewer than 3 DVD's per month, service A will cost less per month than service B will cost.
B. When Helen rents more than 3 DVDs per month, service B will $12 more per month than service A will cost.
C. When Helen rents 3 DVDs per month, either service will cost her $22.50 per month. D. When Helen rents 6 DVDs per month, either service will cost her $27.00 per month.
Answers
Answer:
C. When Helen rents 3 DVDs per month, either service will cost her $22.50 per month.
Step-by-step explanation:
y = 15.00 + 2.50x
y = 12.00 + 3.50x
When x = 2
y = 15.00 + 2.50x
= 15.00 + 2.50(2)
= 15.00 + 5.00
= 20.000
y = 12.00 + 3.50x
= 12.00 + 3.50(2)
= 12.00 + 7.00
= 20.00
When x= 4
y = 15.00 + 2.50x
=15.00 + 2.50(4)
= 15.00 + 10.00
= 25.00
y = 12.00 + 3.50x
= 12.00 + 3.50(4)
= 12.00 + 14.00
=26.00
When x = 3
y = 15.00 + 2.50x
= 15.00 + 2.50(3)
= 15.00 + 7.50
= 22.50
y = 12.00 + 3.50x
= 12.00 + 3.50(3)
= 12.00 + 10.50
= 22.50
When x = 6
y = 15.00 + 2.50x
= 15.00 + 2.50(6)
= 15.00 + 15.00
= 30.00
y = 12.00 + 3.50x
= 12.00 + 3.50(6)
=12.00 + 21.00
= 33.00
The correct answer:
C. When Helen rents 3 DVDs per month, either service will cost her $22.50 per month.
Gives brainliest for best answer and easy to understand!
Answers
Answer: the right answer is D
Step-by-step explanation:
If you multiply 4 by 2 you get 8. If this goes on the answers are aways the same and it’s going to be proportional
If you earn $40,000/yr, how much an hour do you earn if the total hours in a work year is 2080?
Answers
Answer:
Based on a standard work week of 40 hours, a full-time employee works 2,080 hours per year (40 hours a week x 52 weeks a year). So if an employee earns $40,000 annually working 40 hours a week, they make about $19.23
The function
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Which form most quickly reveals the
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Choose 1 answer:
Choose 1 answer:
(Choice A)
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=
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(
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27
f(x)=−3(x−2)
2
+27f, left parenthesis, x, right parenthesis, equals, minus, 3, left parenthesis, x, minus, 2, right parenthesis, squared, plus, 27
A
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(Choice B)
�
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f(x)=−3x
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B
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(Choice C)
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f(x)=−3(x+1)(x−5)f, left parenthesis, x, right parenthesis, equals, minus, 3, left parenthesis, x, plus, 1, right parenthesis, left parenthesis, x, minus, 5, right parenthesis
C
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What is the
�
yy-intercept?
Answers
The constant term in the quadratic expression gives the y-intercept, which is 15 in this case.
The correct answer to the given question is option B.
The function ff is given in three equivalent forms, and we need to choose the form that most quickly reveals the y-intercept. We know that the y-intercept is the value of f(x) when x=0. Let's evaluate the function for x=0 in each of the given forms.
A. f(x)=−3(x−2)2+27
f(0)=−3(0−2)2+27=−3(4)+27=15
B. f(x)=−3x2+12x+15
f(0)=−3(0)2+12(0)+15=15
C. f(x)=−3(x+1)(x−5)
f(0)=−3(0+1)(0−5)=15
Therefore, we can see that all three forms give the same y-intercept, which is 15. However, form B is the quickest way to determine the y-intercept, since we don't need to perform any calculations. The constant term in the quadratic expression gives the y-intercept, which is 15 in this case. Hence, option B is the correct answer.
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Many of a bank's customers use its automatic teller machine to transact business after normal banking hours. During the early evening hours in the summer months, customers arrive at a certain location at the rate of one every other minute. This can be modeled using a Poisson distribution. Each customer spends an average of 90 seconds completing his or her transactions. Transaction time is exponentially distributed. Answer the following questions: Compute the probability that a customer will not have to wait upon arriving at the automatic teller machine (2 decimal points)
Answers
The probability that a customer will not have to wait upon arriving at the automatic teller machine is 0.78 (rounded to 2 decimal points).
To compute the probability that a customer will not have to wait upon arriving at the automatic teller machine, we need to determine the arrival rate and the service rate.
Customers arrive at a rate of one every other minute. This means the arrival rate (λ) is 1 customer per 2 minutes, or λ = 1/2 customers per minute.
Each customer spends an average of 90 seconds completing their transaction. This means the service rate (μ) is 1 customer per 90 seconds, or μ = 1/90 customers per second.
To calculate the probability that a customer will not have to wait, we can use the M/M/1 queueing model, where M represents the exponential distribution for both arrivals and service.
The formula for the probability that the system is in the empty state (no customers in the system) is given by:
P0 = 1 - (λ/μ)
Substituting the values:
P0 = 1 - (1/2) / (1/90)
P0 = 1 - (45/2)
P0 = 1 - 22.5
P0 = 0.775
Therefore, the probability that a customer will not have to wait upon arriving at the automatic teller machine is 0.78 (rounded to 2 decimal points).
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what is the answer I need this to pass
Answers
The correct answer is option A which is segment D which is closer to home.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
From the given graph we can see that in segment D the distance between the home and the person is lesser than all the segments given in the graph.
Therefore the correct answer is option A which is segment D which is closer to home.
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6. What are the lengths of the sides of the triangle labeled a
and b? You may express your answers in simple radical form,
or as decimal approximations.
8√2
Answers
We can conclude that the lengths of the sides of the triangle labeled AOR are OR = 8√2 and AR = 8√2 (in decimal approximations).
In the given figure, there is a right triangle labeled AOR, where AO is hypotenuse of the triangle, OR is the base, and AR is the perpendicular drawn to base OR.
The angle AOR is a right angle. The length of the sides of the triangle labeled AOR is to be found.
We are given one of the sides, i.e., OR = 8√2.It is known that in a right triangle, the sum of the squares of the lengths of the sides of the right triangle is equal to the square of the length of the hypotenuse.
Let AO = xWe know that AO is hypotenuse, therefore,x² = OR² + AR²x² = (8√2)² + AR²x² = 64(2) + AR²x² = 128 + AR²AR² = x² - 128AR = √(x² - 128)
Now, using the Pythagorean theorem, i.e., the sum of the squares of the lengths of the sides of the right triangle is equal to the square of the length of the hypotenuse,
we get:x² = OR² + AR²x² = (8√2)² + (√(x² - 128))²x² = 128 + x² - 128x² = x²
Therefore, x = 8√2The lengths of the sides of the triangle labeled AOR are:OR = 8√2AR = √(x² - 128) = √(128) = 8√2Therefore, the lengths of the sides of the triangle labeled AOR areOR = 8√2andAR = 8√2.
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What is the answer and better be quick, with an explanation.
Answers
Answer:
The first blank is ‘the same’ the second blank is ‘proportional’
Step-by-step explanation:
how can i explain when the answer is already an explanation
The beta for the DAK Corporation is 1.25. The yield on 30-year T-bonds is 5.65 percent, and the long-term average return on the S&P 500 is-11 percent. Calculate the required rate of return for DAK Corporation. I
Answers
The required rate of return for DAK Corporation is 12.34%.
What is the required rate?
The minimal profit (return) an investor will seek or expect in exchange for taking on the risk of investing in a stock or other type of security is known as the required rate of return (RRR). RRR can also be used to determine a project's potential profitability in relation to its funding costs.
Here, we have
Given Information
Beta = 1.25
The yield on 30-year T bonds (rf)= 5.65%
Return on S&P (rM) = 11%
Required Return for DAK = rf + Beta*(rM - rf)
= 5.65% + 1.25*(11% - 5.65%)
= 12.34%
Hence, the required rate of return for DAK Corporation is 12.34%.
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Find the generating function of the sequence {an}n≥0 determined by an = an−1 + 6an−1 with initial conditions a0 = 1, a1 = 3. You need to find the closed form of the generating function, but you don’t need find the closed form of the coefficients.
Answers
The generating function for the sequence {an} is given by a(x) = (1 + 2x) / (1 - x - 6x^2). It captures the terms of the sequence {an} as coefficients of the powers of x.
To find the generating function of the sequence {an}, we can use the properties of generating functions and solve the given recurrence relation.
The given recurrence relation is: an = an-1 + 6an-2
We are also given the initial conditions: a0 = 1 and a1 = 3.
To find the generating function, we define the generating function A(x) as:
a(x) = a0 + a1x + a2x² + a3x³ + ...
Multiplying the recurrence relation by x^n and summing over all values of n, we get:
∑(an × xⁿ) = ∑(an-1 × xⁿ) + 6∑(an-2 × xⁿ)
Now, let's express each summation in terms of the generating function a(x):
a(x) - a0 - a1x = x(A(x) - a0) + 6x²ᵃ⁽ˣ⁾
Simplifying and rearranging the terms, we have:
a(x)(1 - x - 6x²) = a0 + (a1 - a0)x
Using the given initial conditions, we have:
a(x)(1 - x - 6x²) = 1 + 2x
Now, we can solve for A(x) by dividing both sides by (1 - x - 6x^2²):
a(x) = (1 + 2x) / (1 - x - 6x²)
Therefore, the generating function for the given sequence is a(x) = (1 + 2x) / (1 - x - 6x²).
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Solve for all values of x by factoring. x^2 - 3x – 1 = -3x
Answers
Answer:
x = 1, x = -1
Step-by-step explanation:
x^2 - 3x - 1 = -3x
Simplify...
x^2 - 3x - 1 + 3x = 0
x^2 - 1 = 0
Use this formula to factor: (a-b)(a+b) = a^2 - b^2
So x^2 - 1 will factor to...
(x-1)(x+1)
Solve for the equation: (x-1)(x+1) = 0
x - 1 =0
x = 1
x + 1 = 0
x = -1
Solve for BC:
A. 18
B. 27
C. 7
D. 30
Answers
Answer:
C. 7
Step-by-step explanation:
Pic is blurry but just set the expressions equation to each other and solve. All sides are the same length.
Answer:
D) BC = 30
Step-by-step explanation:
this is an equilateral triangle, meaning all sides have the same value
therefore it is mathematically correct to write this equation:
4x + 2 = 5x - 5
subtract 2 from each side to get:
4x = 5x - 7
subtract '5x' from each side to get:
-x = -7
divide or multiply each side by -1 to get:
x = 7
Substitute 7 in for 'x' in the expression: 4x + 2 to solve for BC:
4(7)+2 = 30
Check that 'x' = 7:
4(7)+2 should equal 5(7)-5
28+2 = 35-5
30 = 30
The surf instructor has an initial fee of $12 and charges $8 per hour for lessons, which is represented by the equation y = 8x + 12, where x is the number of hours and y is the total cost. The instructor gives 32 hours of lessons a month to Sandra and 24 hours of lessons a month to Bela. What is the total amount the instructor makes in a month?
Sandra: y = 8 (32) + 12. y = 256 + 12. y = 268. The instructor receives 268 dollars a month from Sandra.
The instructor makes $_472_ a month.
Answers
Answer: 472$
Step-by-step explanation:
[y=-z+2
y=-2²+z+1
Which ordered pair is the solution of the system?
The graph shows the system
0 (0, 2)
O (1,2)
(1,1)
(0, 1)
+
Answers
Therefore , the solution of the given problem of ordered pair comes out to be the ordered pair (1, 1/2).
What exactly are ordered pairs?"Ordered pairs" are two separate variables that are arranged in a way that suggests a specific sequence. The coordinates for x and y in an order pair are represented, respectively, by the main and second components. The sample following uses close parentheses to indicate the ordered combination.
Here, The formulae are as follows:
=>y = -z + 2 ...(1)
=> y = -2x² + z + 1 ...(2)
Equation (1) can be substituted for equation (2) to find the value of z:
=> Z = x² + 1/2 - z + 2 = -2x² + z + 1
=> 2z = 2x² + 1
We can now enter this value of z into equation (1) and find the value of y:
=> y = -z + 2
=> y = -(x² + 1/2) + 2
=> y = -x² + 3/2
As a result, the equation system can be expressed as:
=> z = x² + 1/2
=> y = -x² + 3/2
When x=0:
=> z = 0² + 1/2 = 1/2
=> y = -0² + 3/2 = 3/2
Therefore, there is no answer for the ordered pair (0, 3/2).
When x=1:
=> z = 1² + 1/2 = 3/2
=> y = -1² + 3/2 = 1/2
The answer is the ordered pair (1, 1/2).
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Goods with a cost price of R200 are sold at a mark-up of 100%. The selling price is:
Answers
If the cost price of the goods is R200 and they are sold at a mark-up of 100%, then the selling price is equal to the cost price plus the mark-up, or:
Selling price = Cost price + Mark-up
Mark-up = 100% x Cost price
= 100% x R200
= R200
So the mark-up is R200.
Selling price = Cost price + Mark-up
= R200 + R200
= R400
Therefore, the selling price of the goods is R400.
Question 10:
A plumber cut a
pipe into 5
equal pieces and had 27 cm of the pipe left. For a second
pipe 15m long, he cut 11 pieces of the same length as that of each piece cut from the
first pipe and had 15 cm of the second pipe left. What was the length, in cm, of each
shorter piece of the second pipe? What was the length of the first pipe originally?
Answers
If a plumber cut a pipe into 5 equal pieces and had 27 cm of the pipe left. the length of the first pipe originally is 702 cm.
How to find the length?Let's call the original length of the first pipe "L"
Let the length of each of the 5 equal pieces "x".
set up the equation:
5x + 27 = L
Each piece of the second pipe is "x" cm long. The second pipe is 15 m long, which is equivalent to 1500 cm. The plumber cut 11 pieces of the same length as each of the 5 equal pieces from the first pipe, so the total length of the 11 pieces is:
11x
The plumber had 15 cm of the second pipe left over after cutting 11 pieces, so we can set up another equation:
1500 - 11x = 15
Solving for "x" in the second equation:
11x = 1485
x = 135
So each piece of the second pipe is 135 cm long.
To find the original length of the first pipe, we can substitute x = 135 into the first equation and solve for L:
5x + 27 = L
5(135) + 27 = L
L = 702
Therefore, the original length of the first pipe was 702 cm.
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What is the coefficient of x³ in the
expansion of (2x + 1)² ?
Answers
The coefficient of x³ in the binomial expansion is k = 0
Given data ,
Let the binomial expansion be represented as A
Now , the value of A is
A = ( 2x + 1 )²
On simplifying the equation , we get
( x + y )ⁿ = ⁿCₐ ( x )ⁿ⁻ᵃ ( y )ᵃ
( 2x + 1 )² = ( 2x + 1 ) ( 2x + 1 )
( 2x + 1 )² = 4x² + 2x + 2x + 1
( 2x + 1 )² = 4x² + 4x + 1
Hence , the coefficient of x³ in the expansion of (2x + 1)² is 0
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What in the equation of part (d) makes its graph different?
(PART D IS THE LOOP ONE)
Answers
Answer:
Option D is the only Polynomial (it has 2x^2) graph (2nd degree) while the others are all linear graphs...
Erin wants to know if warming up will help runners sprint faster. Twenty-six track and field athletes volunteered to participate in her study. She randomly assigns 13 athletes to warm-up for 10 minutes. All 26 participants sprint the same distance. She calculates the mean for each group and determines that the mean for the warm-up group was 10.9 seconds, and the mean for the other group was 12.9 seconds. To test the difference of means she re-randomized the data 54 times, and the differences are plotted in the dot plot below. What can Erin conclude from her study? (6 points) A dot plot is shown labeled from negative 2.5 to positive 2. Above the negative 2.5 are 3 dots. Above the negative 2 are 6 dots. Above the negative 1.5 are 9 dots. Above the negative 1 are 12 dots. Above the negative 0.5 are 6 dots. Above the 0.0 are The difference in the means is not significant because a difference of 2 is not very likely. The difference in the means is not significant because a difference of 2 is very likely. The difference in the means is significant because a difference of 2 is very likely. The difference in the means is significant because a difference of 2 is not very likely.
Answers
Answer:
hope it Helps
Step-by-step explanation:
Brainliest please
Answer: the answer above me was not correct for me.
Step-by-step explanation:
can you help me with this maths hw please
Answers
y=k/x is the equation represents relation between x and y and value of y is 16 when x is 21.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that y is inversely proportional to x.
When y is 7 and x is 9
y=k/x
k is the proportional constant and y=k/x is the equation connecting y and x.
We have to find the value of y when x is 21
9/7=21/y
Apply cross multiplication
9y=21×7
9y=147
Divide both sides by 9
y=147/9
y=16.3
Hence, y=k/x is the equation represents relation between x and y and value of y is 16 when x is 21.
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Is 5 a solution to 4 + x = 6 ? Why or why not?
Answers
Answer:
no
Step-by-step explanation:
x has to be 2 because 4+2=6
Answer:
no, because 4 + 5 = 9 not 6.
Step-by-step explanation:
the only way for this equation to be true is if x = 2.
A company has three different facilities A, B and C. Facilities A and B are used for production and can be modeled as two independent Poisson processes with rate lambdaA and lambdaB orders/day, respectively. Facility C is a customer service department which processes the items returned by the costumers. Let assume that the probability of product A and B being returned are ra and rb, respectively. a) What is the probability that in a fixed amount of time (T days), facility B receives twice (or more) orders than facility A. b) Assume that facilities A and B can ship the orders on the same day that they were received. What is the probability that in T days, Facility C receive twice (or more) returned product of A comparing to B.
Answers
a. The probability that facility B receives twice (or more) orders than facility A in T days is given by P(X ≥ 2λAT), where X follows a Poisson distribution with mean λBT. b. The probability that facility C receives twice (or more) returned products of A compared to B in T days is given by P(Y ≥ 2λAraT).
a) The probability that facility B receives twice (or more) orders than facility A in a fixed amount of time (T days) can be calculated using the Poisson distribution and the concept of order arrival rates.
The probability that facility B receives twice (or more) orders than facility A in T days is given by P(X ≥ 2λAT), where X follows a Poisson distribution with mean λBT.
To calculate this probability, we first need to determine the mean number of orders received by facility A in T days, which is λAT. Then, using the Poisson distribution, we can calculate the probability that facility B receives two or more orders in T days, considering its mean arrival rate λBT. By subtracting this probability from 1, we obtain the final result.
b) To calculate the probability that facility C receives twice (or more) returned products of A compared to B in T days, we need to consider the probability of product A and B being returned (ra and rb, respectively), and the concept of Poisson distribution for order processing.
The probability that facility C receives twice (or more) returned products of A compared to B in T days is given by P(Y ≥ 2λAraT), where Y follows a Poisson distribution with mean λBrbT.
First, we determine the mean number of returned products of A in T days, which is λAraT. Then, using the Poisson distribution with mean λBrbT, we can calculate the probability that facility C receives two or more returned products of A in T days. Subtracting this probability from 1 gives us the desired result.
By following these calculations, we can determine the probabilities related to the order reception and return processes in the given facilities.
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A triangle in which all of the angles are smaller than 90° is called an ____ ____.
Answers
Answer:
acute triangle
Step-by-step explanation:
A hypothesis can be differentiated from a theory because it is...
a. a specific prediction arising from the theory. c. it talks about how one specific variable affects d. all of the above.
Answers
A hypothesis can be differentiated from a theory because it is a specific prediction arising from the theory. The statement that is true is, a hypothesis can be differentiated from a theory because it is a specific prediction arising from the theory. A hypothesis is a suggested explanation of a phenomenon or observed data that is testable.
Hypotheses are more detailed, and are written to explain precisely what you think is going to occur in your research and the reason for that prediction. A hypothesis will be rejected if it does not fit the data, whereas a theory will be modified to fit the data.
A hypothesis is more like a forecast, and a theory is more like a law that explains how certain events operate. Thus, we can conclude that a hypothesis is a specific prediction arising from the theory.
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Solve the problem with illustration and Computation, with all steps. Problem You wish to find the height of a tree ; but cannot measure it directly. You stand 50,0 m from the tree and determine that a line of the sight from the ground to the top of the tree makes angle of 30
∘
with the ground, How tall is the tree?
Answers
The height of the tree is approximately 28.87 m.
The height of a tree but cannot measure it directly.
You stand 50 m from the tree and determine that the line of sight from the ground to the top of the tree makes an angle of 30° with the ground.
Here is a diagram for the problem:
[asy]unitsize(0.1cm);
pair A,B,C;
B = (0,0);
A = (50,0);
C = (50,tan(60));
draw(B--C--A--C);
draw(rightanglemark(B,C,A,90));
\(0.7954=\frac{x}{6}\)
x = 0.7954 × 6 = 4.7724
y = \(\frac{4.7724}{0.6225}\) = 7.6665
Computation: In the diagram, we can see that the height of the tree is given by "h".
And the angle between the line of sight and the ground is given by 30°.
The distance between the tree and the person is given by 50m.
From the diagram, we can see that the height of the tree, h can be represented as follows:tan(30°)
= opp/adj= h/50
Solving for h, we get:
h = 50 * tan(30°)h = 28.87 m
Height of the tree =4.7724+7.6665
= 12.4389
= 12.44 m.
Height of the tree at which it is broken =4.77 m.
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5n - 3 = 3n + 1 PLEAS HELP
Answers
Answer:
n = 2
Step-by-step explanation:
First, subtract 3n from both sides:
5n - 3 = 3n + 1
2n - 3 = 1
Then, add 3 to both sides:
2n = 4
Last, divide each side by 2:
n = 2
A construction crew is placing a square window in a wall The window is 3 feet wide. The wall has a width of 11 feet In order for the window to be centered, how much space must there be on each side of the window?
Answers
Answer:
4 feet on each side.
Step-by-step explanation:
Given :
Width of the wall = 11 feet
Width of the window = 3 feet
Now for the window to be placed in the center of window :
\($=\frac{11-3}{2}$\)
\($=\frac{8}{2}$\)
= 4 feet
Therefore, in order to place the window on the center of the wall, 4 feet space must be there on each side of the window.
What is the value of k in the equation StartFraction k Over 3 EndFraction minus 5 = 34?
Answers
\(\huge\text{$k=\boxed{117}$}\)
\(\displaystyle\frac{k}{3}-5=34\)
To find the value of \(k\), we need to isolate it on one side of the equation. Add \(5\) to both sides of the equation, then multiply both sides of the equation by \(3\).
\(\displaystyle\begin{aligned}\frac{k}{3}-5+5&=34+5\\\frac{k}{3}&=39\\\frac{k}{3}*3&=39*3\\k&=\boxed{117}\end{aligned}\)