Answers
Answer:
1 18/35
Step-by-step explanation:
Related Questions
find the common difference of the arithmetic sequence 15,22,29, …
Answers
Answer:
7
Step-by-step explanation:
You want the common difference of the arithmetic sequence that starts ...
15, 22, 29, ...
Difference
The common difference is the difference between a term and the one before. It is "common" because the difference is the same for all successive term pairs.
22 -15 = 7
29 -22 = 7
The common difference is 7.
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Given that J is between H and K. If JK=3x-1, HJ=2x+4, and HK=12, find x and JK.
Answers
Answer:
x=1.8 JK=4.4
Step-by-step explanation:
JK+HJ=HK
3x-1+2x+4=12
5x+3=12
5x=9
x=1.8
JK=3x-1
JK=3(1.8)-1
JK=5.4-1
JK=4.4
Question 4 of 10
Multiple Choice: Please select the best answer and click "submit."
What is the length of the altitude of the equilateral triangle below?
30°
6
09
a
60° 90°
3
60°
3
O A. 1
OB. 6
O C. 313
OD. 3
O E. 6.13
O F. 27
Answers
Answer:
Option C. 3√3
Step-by-step explanation:
Please see attached photo for brief explanation.
In the attached photo, we obtained the following:
Opposite = a
Adjacent = 3
Hypothenus = 6
Angle θ = 60°
We can obtain the value of 'a' as follow:
Tan θ = Opposite /Adjacent
Tan 60° = a/3
Cross multiply
a = 3 x Tan 60°
But: Tan 60° = √3
a = 3 x Tan 60°
a = 3 x √3
a = 3√3
Therefore, the length of the altitude of the equilateral triangle is 3√3.
PLEASE HELP!!
What is the range of y=x+3^2?
A: all real numbers
B:{3^2}
C: all real numbers except 9.
D:{1,3,9}
Answers
Answer:
A
Step-by-step explanation:
You are standing 45 meters from the base of a building. You estimate that the angle of elevation to the top of the 86 floor (the observatory ) is 82\deg . If the total height of the building is another 127 meters above the 86 floor, what is the approximate height of the building?
Answers
The approximate height of the building is 128.52 meters.
To find the approximate height of the building, we can use trigonometry. Let's consider a right triangle with the observer at the base of the building, the vertical height of the building (including the 86th floor and the additional height) as the opposite side, and the horizontal distance from the observer to the base of the building as the adjacent side.
Using the trigonometric function tangent, we can calculate the height:
tan(82°) = height / 45 m
Solving for the height gives:
height = 45 m * tan(82°)
Now, we need to add the additional height of 127 meters to the height of the building, which includes the height of the 86th floor:
Total height = height + 127 m
Substituting the values and calculating, we find that the approximate height of the building is 128.52 meters.
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how many ways can a store manager arrange a group of 1 team leader and 3 team workers from his 25 emplyees
Answers
The required number of ways are 50600.
What is combination?
Combination is a mathematical technique that determines number of possible arrangements in a calculation of items.
The formula of combination is given by:
\(^{n}C_{r}=\frac{n!}{r!(n-r)!}\)
Given that there are total 25 employees and 1 team leader and 3 team workers are to be selected from them.
Finding the number of ways for selecting 1 team leader:
\(^{25}C_{1}\\\\\frac{25!}{1!(25-1)!} \\\\\frac{(25!}{24!)} \\\\25\)
Now the remaining employees will be 12 after selecting a team leader.
Finding the number of ways for selecting 3 team workers:
\(^{24}C_{3}\\\\\frac{24!}{3!(24-3)!} \\\\\frac{25!}{3!(21!)} \\\\2024\)
So the required number of total ways are:
\(^{25}C_{1}\times{^{24}C_{3}}=25\times{2024}\\=50600\)
Therefore, the required number of ways are 50600.
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(b) You're an analyst for a renowned organization. The organization is considering a new manufacturing plant in Rajshahi, Dhaka, Comilla, or Chittagong. Fixed costs per year are $30k,$100k, $60k, and $110k, respectively. Variable costs per product are $45,$75, \& $35, and $60, respectively. Identify the range in volume over which each location would be best. If the price per product is $150,$120,$100, and $90, respectively, and forecast demand per year is 20k,50k,30k, and 40k, respectively, then determine the best site.
Answers
Considering the forecasted demand of 30,000 units, the best site would be Comilla as it yields the highest profit among all locations for that particular volume.
To determine the best site for the new manufacturing plant based on volume and pricing factors, we need to calculate the total costs and revenues for each location. The location with the highest profit will be considered the best site. Let's calculate the profits for each location based on the given information:
Location: Rajshahi
Fixed cost per year: $30,000
Variable cost per product: $45
Price per product: $150
Forecast demand per year: 20,000
Total Cost = Fixed Cost + (Variable Cost per Product * Forecast Demand per Year)
Total Revenue = Price per Product * Forecast Demand per Year
Profit = Total Revenue - Total Cost
Total Cost = $30,000 + ($45 * 20,000) = $1,050,000
Total Revenue = $150 * 20,000 = $3,000,000
Profit = $3,000,000 - $1,050,000 = $1,950,000
Performing similar calculations for the other locations, we get:
Location: Dhaka
Total Cost = $100,000 + ($75 * 50,000) = $4,850,000
Total Revenue = $120 * 50,000 = $6,000,000
Profit = $6,000,000 - $4,850,000 = $1,150,000
Location: Comilla
Total Cost = $60,000 + ($35 * 30,000) = $1,110,000
Total Revenue = $100 * 30,000 = $3,000,000
Profit = $3,000,000 - $1,110,000 = $1,890,000
Location: Chittagong
Total Cost = $110,000 + ($60 * 40,000) = $2,510,000
Total Revenue = $90 * 40,000 = $3,600,000
Profit = $3,600,000 - $2,510,000 = $1,090,000
Based on the calculated profits, we can determine the range in volume over which each location would be best:
Rajshahi: The best site for a volume range up to 20,000 units.
Dhaka: The best site for a volume range between 20,001 and 50,000 units.
Comilla: The best site for a volume range between 50,001 and 30,000 units.
Chittagong: The best site for a volume range above 30,000 units.
Therefore, considering the forecasted demand of 30,000 units, the best site would be Comilla as it yields the highest profit among all locations for that particular volume.
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Tell whether 50 is a factor/multiple, or neither the numbers below:
a) 10 _________ b) 50 _________ c) 150_________ d) 75 __________
ANSWER:
________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
Answers
Answer:
a) 10 factor of 50
b) 50 factor of 50
c) 150 multiple of 50
d) 75 neither factor nor multiple of 50
in a survey of 400 people,80% said that friday was there favorite day of the week .How many people selected friday
Answers
Answer:
(400/100)*80 = 320
Step-by-step explanation:
400 = 100%, just divide by 100 and multiply by 80
Answer:
80%of 400
400-80
400-80 =320
=320 people choose Friday
checking
320
80+20= 100
320+ 80=400
Find the volume of the described solid of revolution or state that it does not exist. The region bounded by f(x) = (x - 1)^-1/4 and the x-axis on the interval (1, 6] is revolved about the x-axis. Set up the integral that should be used to find the volume of the solid. Use increasing limits of integration. (Type exact answers.) Find the volume or state that it does not exist. Select the correct answer and, if necessary, fill in the box to complete your choice. A. The volume is cubic units. (Type an exact answer.) B. The volume does not exist.
Answers
The correct option is A. The volume is 6.77 cubic units
The function and interval given are f(x) = (x - 1)^-1/4 and the x-axis on the interval (1, 6].
We want to find the volume of the solid of revolution when the region is rotated about the x-axis.
Let's consider the graph of the function: graph{(x-1)^(-1/4) [-10, 10, -5, 5]}
To set up the integral to find the volume of the solid of revolution, we can use the disk method.
We need to integrate the area of each disk perpendicular to the x-axis from x = 1 to x = 6.
The area of a disk is given by the formula: A = πr²
where r is the radius of the disk and is equal to f(x) in this case.
Therefore, the area of a disk is: A = πf(x)²
Let's substitute f(x) into this formula and integrate from x = 1 to x = 6 to get the volume of the solid.
We have The integral that should be used to find the volume of the solid is given as:
V = ∫₁⁶ πf(x)² dx
We substitute f(x) = (x - 1)^(-1/4) into this expression and integrate to get the volume.
We have: V = ∫₁⁶ π(x - 1)^(-1/2) dx
Let u = x - 1, so that du/dx = 1 and dx = du.
When x = 1, u = 0, and when x = 6, u = 5.
Therefore, we have: V = ∫₀⁵ πu^(-1/2) du= 2π[u^(1/2)]₀⁵= 2π(√5 - 1) ≈ 6.77 cubic units.
The volume of the solid of revolution when the region is rotated about the x-axis is approximately 6.77 cubic units.
Thus, the correct option is A. The volume is 6.77 cubic units.
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their are 108 seniors in a high school of 450 students. what percent of the student body are not seniors
Answers
Answer:
76% of the student body are not seniors
Step-by-step explanation:
450-108=342 (to find how many students are not seniors)
342/450=0.76 (to find the percentage of non seniors against the whole student body)
0.76x100= 76
Therefore, 76% of the student body are not seniors.
Suppose A = {a, b, c} Indicate which statements below are TRUE.
A. {b, c} is an element of the power set P(A).
B. {a} is a subset of the power set P(A).
C. {} is an element of the power set P(A)
D. � is a subset of the power set P(A).
Answers
The empty set {} is a subset of A, and therefore a member of P(A). Therefore, option C is true.Option D. ϕ is a subset of the power set P(A).The empty set {} is a member of P(A), but ϕ (the set containing no elements) is not a subset of P(A). Therefore, option D is false.
Suppose A
= {a, b, c} Indicate which statements below are TRUE are:Option A. {b, c} is an element of the power set P(A).The power set of A (denoted by P(A)) is the set of all subsets of A, including the empty set {} and the set A itself. Therefore, {b, c} is a subset of A but not an element of P(A). Therefore, option A is false.Option B. {a} is a subset of the power set P(A).As a set with a single element, {a} is a subset of A, and therefore a member of P(A) (i.e. a set that contains the single element {a}). Therefore, option B is true.Option C. {} is an element of the power set P(A).The empty set {} is a subset of A, and therefore a member of P(A). Therefore, option C is true.Option D. ϕ is a subset of the power set P(A).The empty set {} is a member of P(A), but ϕ (the set containing no elements) is not a subset of P(A). Therefore, option D is false.
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Annel sells a phone which costs $180 and earns $9 commission. If he sells $640 worth of phones the following days, how much will he earn in commission?
Answers
The percentage of the cost of the phones Annel earns in commission is 5%. If he sells $640 worth, the amount he earns as percentage will be $32.
How can the amount Annel earns be found?The amount in commission Annel earns when he sells the phone worth $180 = $9
The percentage of the amount sold, Annel earns as commission is therefore;
\( \frac{9}{180} \times 100 = 5\%\)
The amount earned as commission if he sells $640 worth of phones is found as follows;
Amount earned = 5% × 640 = 32
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The parties to a sales contract have stipulated that a specific sum be paid by any party breaching said contract, this sum is called?
Answers
This type of sum is Liquidated damages.
What is Liquidated damages?Liquidated damages are presented in certain legal contracts as an estimate of otherwise intangible or hard-to-define losses to one of the parties.
As per the given situation we have
parties to a sales contract have stipulated that a specific sum be paid by any party
Liquidated damages occur in such a situation.
The amount of damages that the parties estimate and agree upon at the time of the contract for a breach of the agreement by either party is referred to as liquidated damages.
Regardless of the actual cost of any potential damages due to the breach of the contract, this amount becomes due immediately.
According to Section 74 of the Indian Contract Act, 1972, if parties agree a sum to be paid as damages or a penalty to be imposed for a breach, the harmed party is only entitled to that sum or penalty and no other higher or lesser sum.
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Is c = 7 a solution to the inequality below?
3 < 9− c
Answers
Answer:
NoStep-by-step explanation:
Where 'c' is, plug its value into the equation:
3 < 9 - 7
Simplify (9-7)
9 - 7 = 2
"The crocodile ALWAYS eats the bigger umber" in true equations
3 < 2 reads: 3 is less than 2
Is 3 less than 2?
No, 3 is greater than 2.
Your answer is 'no'.
Can I have some help?
Answers
If A is ( - 1, 5)
and the transformation rule is; (x+3, y - 6)
To find A'
add 3 to the x-cordinate and subtract 6 from the y-coordinate of A
That is;
A' = ( -1+ 3 , 5 -6) = (2, -1)
Therefore;
A' = (2, -1)
Apply the Empirical RuleA 3-column table has 1 row. The first column is labeled Age with entry 7 years. The second column is labeled Mean with entry 49 inches. The third column is labeled Standard Deviation with entry 2 inches. According to the empirical rule, 68% of 7-year-old children are between inches and inches tall.
Answers
The empirical norm therefore states that 68% of 7-year-old kids are between 47 and 51 inches tall.
What does a table column mean?A column in a table is a collection of cells which are arranged vertically. A field, like the received field, is a sort of element that contains only one item of data. A column in a table usually contains the values for just a single field.
The empirical rule states that in a normal distribution, 68% of the data fall within one average standard deviation. In this instance, the mean difference is 2 inches, while the average height of 7-year-old kids is 49 inches.
We must identify the range among heights that is within one average standard deviation in order to apply the scientific rule. To accomplish this, we can add and subtract the standard variance from the median as follows:
Mean ± (Standard Deviation) = 49 ± 2
As a result, the height range which falls within the standard deviation from the average is between 47 and 51 inches.
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If the mean of the four
numbers: 4,8,
X and 12 is 10.
then x is?
A)10
B)4
C)12
D)16
Answers
The normal curve with a mean of 0 and standard deviation of 1 is called ______________.
a. standard normal curve.
b. the emperical rule.
c. a random variable.
d. the z-value.
Answers
The normal curve with a mean of 0 and standard deviation of 1 is called (D) the z-value.
What is a standard score (z-value)?The z-score value indicates how many standard deviations you are from the mean. A z-score of 0 indicates that the data is on the mean. A positive z-score indicates that the raw score exceeds the mean average. For example, a z-score of +1 indicates that it is one standard deviation above the mean. The number of standard deviations by which the value of a raw score (that is, an observed value or data point) is above or below the mean value of what is being observed or measured is referred to as the standard score in statistics. Raw scores that are higher than the mean have positive standard scores, while those that are lower than the mean have negative standard scores.Therefore, the normal curve with a mean of 0 and standard deviation of 1 is called (D) the z-value.
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Can someone please help me with this asap? I don’t understand it
Answers
Answer: C A B
Step-by-step explanation:
hope this helps
The height of the probability density function f(x) of the uniform distribution defined on the interval [a, b] is 1/(a-b). True False
Answers
The statement "The height of the probability density function f(x) of the uniform distribution defined on the interval [a, b] is 1/(a-b)" is False.
In a uniform distribution, the probability density function (PDF) is constant within the interval [a, b]. The height of the PDF represents the density of the probability distribution at any given point within the interval. Since the PDF is constant, the height remains the same throughout the interval.
To determine the height of the PDF, we need to consider the interval length. In a uniform distribution defined on the interval [a, b], the height of the PDF is 1/(b - a) for the PDF to integrate to 1 over the entire interval. This means that the total area under the PDF curve is equal to 1, representing the total probability within the interval [a, b].
Therefore, the correct statement is that the height of the probability density function f(x) of the uniform distribution defined on the interval [a, b] is not 1/(a - b), but rather it is a constant value necessary for the PDF to integrate to 1 over the interval, i.e., 1/(b - a).
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Please show clear solutions to these additional questions involving gas laws. A complete solution shows
all steps, including necessary unit conversions. Final answers must be rounded to correct significant
figures.
1. If placing a balloon of gas into a freezer at –80.0 °C causes its volume to change to 76.4 % its
initial volume, then what was the balloon’s initial temperature in °C?
2. Suppose instead of volume, we built a thermometer that measures temperature by pressure
changes. A sample of gas is placed into a rigid glass vial along with a pressure sensor. At room
temperature (25.0 °C), the pressure of the gas is 1.01 atm. The gas thermometer is then placed
into a bath of hot oil. The pressure of the apparatus changes to 1.38 atm. What is the temperature
of the oil in °C?
Answers
1. The balloon's initial temperature was ____ °C.
2. The temperature of the oil is ____ °C.
1. To find the balloon's initial temperature, we can use the combined gas law, which states that the initial pressure times the initial volume divided by the initial temperature is equal to the final pressure times the final volume divided by the final temperature. Given that the volume changes to 76.4% of its initial volume and the final temperature is -80.0 °C, we can solve for the initial temperature. First, we convert the volume change to a decimal by dividing 76.4% by 100, giving us 0.764. Plugging in the values into the combined gas law equation, we can rearrange it to solve for the initial temperature.
2. To determine the temperature of the oil, we can use the ideal gas law, which states that the pressure times the volume divided by the temperature is equal to the gas constant times the number of moles. Since the volume remains constant and we are given the initial and final pressures, we can solve for the temperature. By plugging in the values into the ideal gas law equation and solving for the temperature, we can find the temperature of the oil in °C.
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Kindly help me solve this questions
a) 3/X+2-2=1/1/2
b) 3(4-7x)/5-0.7=x-6/2
Answers
Answer:
a) x=6
b) x= 498/463
hope this helps!!
Solve.
Use the formula F==C+32 to write 145º Cas degrees Fahrenheit.
229° F
Oь
63.4° F
Ос
99° F
Od
293° F
Answers
Answer:
OCD473
Step-by-step explanation:
somebody please help i don't understand this. I'd really appreciate it. and please don't steal points :) . i will mark you brainliest.
Answers
Answer:
1) You think of G(x) as x, so you plug it in. So, f(x) = \(-2^{2}\) - 2, which is 4 - 2, which is 2.
3) Y = 1
I think, I'm not 100% sure--
The table shows our research activities of two students at an observatory how much does a student pay to use a telescope for 1 hour the supercomputer? for 1 hour?
Answers
Answer: Student 1 pays $23.5 to use a supercomputer and pays $14.1 to use a telescope
Step-by-step explanation:
Using cross multiply and divided method, we can find the unit rate or just dividing.
Student 1. 3 1
$70.5 x
70.5 x 1 = 70.5
70.5 ÷ 3 = $23.5
x = $23.5
5 1
70.5 x
70.5 x 1 =70.5
70.5 ÷ 5 = 14.1
x = $14.1
Student 1 pays $23.5 to use a supercomputer and pays $14.1 to use a telescope.
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.
Using the cross multiply and divide method, we can find the unit rate or just divide.
Student 1. 3 1
$70.5 x
70.5 x 1 = 70.5
70.5 ÷ 3 = $23.5
x = $23.5
5 1
70.5 x
70.5 x 1 =70.5
70.5 ÷ 5 = 14.1
x = $14.1
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Find the exact volume of the cylinder. A: 14pi m^3 B: 28pi m^3 C: 56pi m^3 D: 112pi m^3
Answers
Answer:
B: 28pi m^3
Step-by-step explanation:
r = 4/2 = 2 m
h = 7 m
Volume of cylinder
\( = \pi {r}^{2} h \\ \\ = \pi \times {2}^{2} \times 7 \\ \\ = \pi \times 4 \times 7 \\ \\ = 28\pi \: {m}^{3} \)
A model uses the decision variables x, y and z. Which of the following objective function formulas is nonlinear?
- 2xy/2xy + z
- x + y + z
- 3x - 2y + z
Answers
The objective function formula that is nonlinear is - 2xy/2xy + z
Identifying the objective function formulas that is nonlinear?From the question, we have the following parameters that can be used in our computation:
- 2xy/2xy + z
- x + y + z
- 3x - 2y + z
A linear function is a function that has a degree of 1
Other functions with other degrees are nonlinear
Using the above as a guide, we have the following functions with a degree of 1
- x + y + z
- 3x - 2y + z
Hence, the objective function formulas that is nonlinear is - 2xy/2xy + z
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For each polynomial, determine the degree and write the polynomial in descending order. A. 2x^5 + 14 - 3x^4 + 7x + 3x^3
Answers
We have the following polynomial:
\(2x^5+14-3x^4+7x+3x^3\)Now, we can rewrite the polynomial in descending order as follows:
\(2x^5-3x^4+3x^3+0x^2+7x+14\)As we can see, the order in descending order takes into account the values for the exponents of the variable (an unknown value), x. Since the degree of a polynomial is the highest degree of any term of the polynomial, and this term is represented by:
\(2x^5\)In other words, the degree of a polynomial is the highest power we have for any term in the polynomial.
Therefore, the degree of the polynomial is 5, and we can write it, in descending order as follows:
\(2x^5-3x^4+3x^3+7x+14\)In summary, therefore, the degree of the polynomial is 5, in this case, and if we write it in descending order, we have:
\(2x^{5}-3x^{4}+3x^{3}+7x+14\)There is a bag with only red marbles and blue marbles.
The probability of randomly choosing a red marble is 7/10.
There are 42 red marbles in the bag and each is equally likely to be chosen.
Work out how many marbles in total there must be.
Answers
There is 60 total number of marbles in the bag for the probability of selecting a red marble is 7/10.
What is probabilityThe probability of an event occurring is the fraction of the number of required outcome divided by the total number of possible outcomes.
let the total possible outcome = x
probability of selecting a red marble = P(R) = 7/10
Given that there are 42 red marbles tgen:
42/x = 7/10
x = (42 × 10)/7 {cross multiplication}
x = 420/7
x = 60
Therefore, given the probability of selecting a red marble to be 7/10, the total number of marbles in the bag is derived to be 60
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