\(n-7 <32\\\\\implies n-7+7< 32 +7\\\\\implies n < 39\\\\\text{Interval,}~ (-\infty, 39)\)
Answer: n = 9
Step-by-step explanation:
Step 1: Simplify both sides of equation
n = 7 + 32/16(4) - 6
n = 7 + 8 + - 6
n = ( 7 + 8 + - 6) (Combine Like terms)
n = 9
une entreprise a dépensé en tout 14 400e en 2001 pour l'entretien de ses voitures a. recopier et compléter le tableau ci-dessous. b. calculer la dépense moyenne pour l'entretien d'une voiture. c. les dépense d'entretien ont été représentées dans le diagramme circulaire ci-contre, mais la légende a été effacée. rétablir cette légende.
a company spent a total of 14,400th in 2001 for the maintenance of its cars a. copy and complete the table below. b. calculate the average expense for car maintenance. vs. maintenance costs have been shown in the circular diagram opposite, but the legend has been deleted. restore this legend.Answer:
Step-by-step explanation:
a company spent a total of 14,400th in 2001 for the maintenance of its cars a. copy and complete the table below. b. calculate the average expense for car maintenance. vs. maintenance costs have been shown in the circular diagram opposite, but the legend has been deleted. restore this legend.
Jodi liked to collect stamps. On 3 different days, she bought 6 stamps. Then she decided to sell 4 of them. After that she bought 2 sets of 5 stamps. She figured out how many she had total, and then she divided that total into 3 groups to put into stamp books. How many did she put in each book?
Answer:
4
Step-by-step explanation:
6-4=2
2x5=10
10+2=12
12 divided by 3=4
She put 4 in each book.
Clifton drove for 3 hours at 52 mph. How fast must he drive during the next hour in order to have an average speed of 55 mph?
Answer:
64 mph
Step-by-step explanation:
Given that:
Speed for the first 3 hours = 52 mph
Average speed for 4 hours = 55 mph
To find:
Speed for the next hour = ?
Solution:
Formula for average speed is given as:
\(Average\ Speed = \dfrac{Total\ Distance}{Total \ Time \ Taken}\)
Formula for Distance:
\(Distance =Speed \times Time\)
Distance traveled in first 3 hours:
\(Distance =52\times 3 = 156\ miles\)
Let the speed for the next hour = u mph
Distance traveled in 1 hour = \(u \times 1 = u\ miles\)
Total distance traveled = (156 + u) miles
Total time = 4 hours
Average Speed = 55 mph
Putting the values in formula:
\(55 = \dfrac{156+u}{4}\\\Rightarrow 220 = 156+u\\\Rightarrow \bold{u = 64\ mph }\)
So, the answer is: 64 mph
Joe is borrowing $15,000 in a savings account that earns 6% simple interest. How much interest will he owe after 5 years?
Answer:
$4,500
Step-by-step explanation:
You would divide $15,000 by 10 to get 10% then to get 30%, which is how much it is after 5 years, you would multiply by 3 to $4500 which is the answer
local bank is using Winters' method with α = 0.2,
β = 0.1, and γ = 0.5 to forecast the number of
customers served each day. The bank is open Monday through Friday.
At the end of the previous week,
The exact forecasted number of customers to be served on each of the next five business days, rounded to one decimal place, are as follows:
Tuesday: 389.1
Wednesday: 368.7
Thursday: 326.5
Friday: 510.9
To forecast the number of customers served on each of the next five business days using Winters' method, we need to follow these steps:
Calculate the seasonal factor for each day by multiplying the seasonal index by the level.
Monday: 1.10 × 20 = 22
Tuesday: 0.95 × 20 = 19
Wednesday: 0.90 × 20 = 18
Thursday: 0.80 × 20 = 16
Friday: 1.25 × 20 = 25
Update the level and trend using the following formulas:
New Level = α × (Actual Value / Seasonal Factor) + (1 - α) × (Previous Level + Previous Trend)
New Trend = β × (New Level - Previous Level) + (1 - β) * Previous Trend
For Tuesday:
New Level = 0.2 × (30 / 22) + 0.8 × (20 + 1) = 20.3636
New Trend = 0.1 × (20.3636 - 20) + 0.9 × 1 = 0.0364
Forecast the number of customers served on each subsequent day using the formula:
Forecast = (New Level + Forecasted Trend) × Seasonal Factor
Tuesday Forecast = (20.3636 + 0.0364) × 19 = 389.0909
Wednesday Forecast = (20.3636 + 0.0364) × 18 = 368.7273
Thursday Forecast = (20.3636 + 0.0364) × 16 = 326.5455
Friday Forecast = (20.3636 + 0.0364) × 25 = 510.9091
Therefore, the forecasted number of customers to be served on each of the next five business days, rounded to one decimal place, are as follows:
Tuesday: 389.1
Wednesday: 368.7
Thursday: 326.5
Friday: 510.9
The question should be: A local bank is using Winters' method with α = 0.2, β= 0.1, and γ = 0.5 to forecast the number of customers served each day. The bank is open Monday through Friday. At the end of the previous week, the following seasonal indexes have been estimated: Monday, 1.10; Tuesday, 0.95; Wednesday, 0.90; Thursday, 0.80; Friday, 1.25. Also, the current estimates of level and trend are 20 and 1. After observing that 30 customers are served by the bank on this Monday, forecast the number of customers who will be served on each of the next five business days. Round your answers to one decimal place, if necessary.
Read more on Seasonal index here: https://brainly.com/question/31959139
#SPJ11
1. Solve *
4(3x - 2) = 8(2x+3)
Your answer
This is a required question
Pleas help me solve
Answer:
First you simplify by first taking 4 multiply the parentheses: 4 x 3X - 4 x 2 = 12X - 8 =
Then you have to do the same thing at the right side, try figure it out. When u get the answer simplify it by taking. The x to left side and the ordinary numbers to right side(not always). As said try figure it out urself if u need help i got u
a square and a regular hexagon have sides of the same length. the perimeter of the square increased by 32 units will be equal to the perimeter of the hexagon. what is x, the length of a side of the hexagon or square?
The length of a side of the hexagon or square is - 16 units
A square has four equal sides and four equal angles. The angles of square are at right angles or 90°.If all six sides are equal, then it is called a regular hexagon. The perimeter of the regular hexagon is defined as the sum of all the sides of a hexagon.The length of a side of the hexagon or square = x
The perimeter of the square = 4 × lengths of its side
= 4x
The perimeter of the hexagon = 6 × lengths of its side
= 6x
According to the question,
4x + 32 = 6x
⇒ 6x - 4x = 32
⇒ 2x = 32
⇒ x = 16
So, the length of a side of the hexagon or square is - 16 units.
Read more about hexagons:
https://brainly.com/question/23875717
#SPJ4
what’s the answer for this please? Thankssss!! Only if you know
Answer:
I Dont know the answer Sorryyyyyyyyyy
|2x - 3|= 23
Solve for x
Answer:
x= -10 or x=13
Step-by-step explanation:
solve the problem 17+50-100=
what is the range of the function f(x) = |x| 5? r: {f(x) ∈ ℝ | f(x) < 5} r: {f(x) ∈ ℝ | f(x) ≥ 5} r: {f(x) ∈ ℝ | f(x) > 5} r: {f(x) ∈ ℝ | f(x) ≤ 5}
The function f(x) = |x| - 5 is a piecewise function with two different cases: when x is negative and when x is positive.
This means that the function can take on different values depending on whether x is negative or positive.Case 1: x is negativeIf x is negative, then f(x) = -x - 5. To find the range of this function, we can look at the minimum value that f(x) can take on. Since -x is always nonpositive, the smallest value that f(x) can take on is when x = 0, which gives f(0) = -5.
Therefore, the range of f(x) for x negative is given by:r: {f(x) ∈ ℝ | f(x) ≤ -5}Case 2: x is positiveIf x is positive, then f(x) = x - 5. To find the range of this function, we can look at the minimum value that f(x) can take on. Since x is always nonnegative, the smallest value that f(x) can take on is when x = 0, which gives f(0) = -5. Therefore, the range of f(x) for x positive is also given by:r: {f(x) ∈ ℝ | f(x) ≤ -5}Overall, the range of the function f(x) = |x| - 5 is given by:r: {f(x) ∈ ℝ | f(x) ≤ -5}
To know more about nanometres visit:
https://brainly.com/question/14963637
#SPJ11
Twice a certain number is tripled .
The resulting number is
Answer: 6x
Step-by-step explanation:
so consider x as the number,
twice of x= 2x
2x tripled= 2x*3
= (2*3)x
= 6x
Diego is attending UTEP and has completed some courses worth 3 credits and some course worth 4 credits. he has earned a total of 59 credits after completing 18 courses. How many courses worth 4 credits has Diego completed
Answer:
3 credit course = 13
4 credit course = 5
Step-by-step explanation:
Given that :
Total credits = 59
Total courses = 18
Let :
Number of 3 credit course = x ; number of 4 credit course = y
x + y = 18 - - (1)
3x + 4y = 59 - - - (2)
x = 18 - y
3(18 - y) + 4y = 59
54 - 3y + 4y = 59
54 + y = 59
y = 59 - 54
y = 5
x = 18 - 5
x = 13
3 credit course = 13
4 credit course = 5
Answer:
The answer above me
Step-by-step explanation:
Water flows through a pipe at a rate of 5 pints per minute. Express this rate of flow in liters per hour. Round your answer to the nearest whole number. please help!!!
Answer:
142 l/hr
Step-by-step explanation:
Answer:142
Step-by-step explanation:
(3x8)x4=3x what is the answer
Step-by-step explanation:
(3 x 8)x4 =3x
24 x 4 =3x
96=3x
3x=3x
32= x
Thanks a lot... Plz answer with steps
24 and 16
Step-by-step explanation:
let's assume two part be x and (40 - x)
According to Question,
\( x\dfrac{1}{4} = (40 - x) \dfrac{3}{8} \)
\( x= \dfrac{3(40 - x)}{2} \)
\(2 \times x = 120 - 3x \)
\(2x + 3x = 120\)
\(5x = 120\)
\( \cancel{5}x= \cancel{120}\)
\(x = 24\)
Hence one part is 24 and other is (40 - 24) = 16 .
Answer: 24 and 16
Step-by-step explanation:
If A and B are mutually exclusive events with P(A) = 0.4 and P(B) = 0.5, then P(A ∩ B) =
a. 0.10
b. 0.90
c. 0.00
d. 0.20
The probability of A and B occurring simultaneously (P(A ∩ B)) is c. 0.00.
In this scenario, A and B are stated to be mutually exclusive events. Mutually exclusive events are events that cannot occur at the same time. This means that if event A happens, event B cannot happen, and vice versa.
Given that P(A) = 0.4 and P(B) = 0.5, we can deduce that the probability of A occurring is 0.4 and the probability of B occurring is 0.5. Since A and B are mutually exclusive, their intersection (A ∩ B) would be an empty set, meaning no outcomes can be shared between the two events. Therefore, the probability of A and B occurring simultaneously, P(A ∩ B), would be 0.
To further clarify, let's consider an example: Suppose event A represents flipping a coin and getting heads, and event B represents flipping the same coin and getting tails. Since getting heads and getting tails are mutually exclusive outcomes, the intersection of events A and B would be empty. Therefore, the probability of getting both heads and tails in the same coin flip is 0.
In this case, since events A and B are mutually exclusive, the probability of their intersection, P(A ∩ B), is 0.
Therefore, the correct answer is: c. 0.00
Learn more about Probability
brainly.com/question/795909
#SPJ11
An S corporation is generally set up to: a. implement an expansion strategy b. attract capital c. reduce tax burdens d. easy entry into an industry e. take advantage of limited liability
Implementing an expansion strategy, attracting capital, lowering tax obligations, facilitating entry into a business, and utilizing limited liability are all options are correct.
In most cases, a corporation is set up to benefit from restricted liability. This indicates that the shareholders, who are the corporation's owners, are not personally liable for the debts and liabilities of the business. The additional reasons you have provided for forming a corporation are also viable possibilities, but they are not its main objective. Establishing a corporation might be one approach to carry out an expansion strategy, which is a company's plan for growth and expansion.
know more about corporation here
https://brainly.com/question/29734988#
#SPJ4
Start at (5, 4). Move 5 units east, 4 units south, 4 units west, 4 units north, and 1 unit west.
What is the ordered pair of the final point?
Using translation concepts, it is found that the ordered pair of the final point is given by:
D. (5,4).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this situation, considering that we start at point (5,4), the translations are as follows:
5 units east, hence x = x + 5 = 10.4 units south, hence y = y - 4 = 0.4 units west, hence, x = x - 4 = 6.4 units north, hence y = y + 4 = 4.1 unit west, hence x = x - 5 = 5.It ends at the starting point, hence option D is correct.
More can be learned about translation concepts at https://brainly.com/question/4521517
How do you make a table of values for a linear relationship?
To make a table of values for a linear relationship;
Choose a group of x values before creating the table. Add each x value from the left side column to the equation. Evaluate the equation (middle column) to arrive at the y value
Given,
Linear relationship;
A straight-line link between two variables is referred to statistically as a linear relationship (or linear association). Linear relationships can be represented graphically or mathematically as the equation y = mx + b.
Here,
We have to make a table of values for a linear relationship;
Make the table and select a range of x values. Fill in the equation with each x value from the left side column. To determine the y value, evaluate the equation in the middle column.Since the table of values really only contains x and y pairs, you can choose to omit the middle column from your table as an optional step.Learn more about linear relationship here;
https://brainly.com/question/27965422
#SPJ4
Find the factored form of x³ + x²-3x - 3=0
Answer:
\((x^{2}-3)(x+1)=0\\\\x^{3}+x^{2} -3x-3=0\)
How do you find the distance between two points in 6th grade?
The distance between two given points x₁ and x₂ for the 6th grade can be calculated by :
a. If the points lie in the same quadrants then distance = | x₂ - x₁ |
b. If the points lie in the different quadrant then distance = |x₂| + |x₁|.
As given in the question,
The distance between the two given points can be calculated in the following way:
Let us consider two points in the coordinate plane whose one coordinate is constant be ( x₁, y) and ( x₂ , y ).
a. Distance between two points in the same quadrants is given by :
= | x₂ - x₁ |
b. Distance between two points in the different quadrants is given by :
= |x₂| + |x₁|
It is represented by absolute value as distance is always positive.
Therefore, the distance between two given points with one coordinate constant for the 6th grade is given by :
a. If the points lie in the same quadrants then distance = | x₂ - x₁ |
b. If the points lie in the different quadrant then distance = |x₂| + |x₁|.
Learn more about distance here
brainly.com/question/15172156
#SPJ4
bro pleas help me, that would be nice
Answer
i think the answer is c
sorry if wrong
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
when you reflect across x axis you change the sign of the y values.
define event A = {1, 2, 3, 4} and event B = {2, 3, 6, 7}. AuB ="
The union of Event A and Event B (AuB) is the set of elements that are in either Event A or Event B, or both: AuB = {1, 2, 3, 4, 6, 7}.
What is the resulting set when Event A and Event B are combined?In mathematics, a set is a collection of distinct objects. The union of two sets is the set of all distinct elements that belong to either one of the sets or both. In this case, Event A and Event B are two sets with some overlapping elements.
The union of Event A and Event B (AuB) contains all the elements from both sets, without any duplication. Therefore, the resulting set for AuB is {1, 2, 3, 4, 6, 7}.
The concept of set union is fundamental in set theory and has various applications in other fields of mathematics, such as calculus and probability theory.
Understanding set theory is essential for studying these and other mathematical disciplines.
Learn more about Set Theory
brainly.com/question/27333813
#SPJ11
apply the improved euler method to approximate the solution on the interval [0, 0.2] with step size h = 0.1 to four decimal places.
After considering the given data we conclude that the solution on the interval [0, 0.2] is 1.2620
To use the Euler Method to approximate the solution on the interval [0, 0.2] with step size h = 0.1 to four decimal places, we can apply the following steps:
Describe the differential equation and initial condition: \(y' = f(x, y) = 2x + y\), y(0) = 1.
Elaborating the step size h = 0.1 and the number of steps \(n = (0.2 - 0) / h = 2.\)
Initialize the variables: \(x_{0} = 0, y_{0} = 1.\)
For i = 0 to n-1, do the following:
a. Placing the slope at (xi, yi) using f(x, y) = 2x + y: \(k_{1} = f(xi, yi) = 2xi + yi\).
b. Placing the slope at \((xi + h, yi + hk_{1} )\) using \(f(x, y) = 2x + y: k_{2} = f(xi + h, yi + hk_{1} ) = 2(xi + h) + (yi + hk_{1} ).\)
c. Placing the next value of y using the Euler Method formula: \(yi+1 = yi + h/2(k_{1} + k_{2} ).\)
d. Placing the next value of x: \(xi+1 = xi + h.\)
Rounding the final value of y to four decimal places.
Applying the above steps, we get:
\(x_{0} = 0, y_{0} = 1\)
n = 2
h = 0.1
For i = 0:
\(k1 = f(x_{0} , y_{0} ) = 2(0) + 1 = 1\)
\(k_{2} = f(x_{0} + h, y_{0} + hk_{1} ) = 2(0.1) + (1 + 0.1(1)) = 1.3\)
\(y_{1} = y_{0} + h/2(k_{1} + k_{2} ) = 1 + 0.1/2(1 + 1.3) = 1.115\)
For i = 1:
\(k_{1} = f(x_{1} , y_{1} ) = 2(0.1) + 1.115 = 1.33\)
\(k_{2} = f(x_{1} + h, y_{1} + hk_{1} ) = 2(0.2) + (1.115 + 0.1(1.33)) = 1.7965\)
\(y_{2} = y_{1} + h/2(k_{1} + k_{2}) = 1.115 + 0.1/2(1.33 + 1.7965) = 1.262\)
Hence, the approximate solution of the differential equation \(y' = 2x + y\)on the interval [0, 0.2] with step size h = 0.1 applying Euler Method is y(0.2) ≈ 1.2620 (rounded to four decimal places).
To learn more about Euler Method
https://brainly.com/question/30860703
#SPJ4
Find step-by-step Discrete math solutions a. Is {{a, d, e}, {b, c}, {d, f}} a partition of {a, b, c, d, e, f}?
b. Is {{w, x, v}, {u, y, q}, {p, z}} a partition of {p, q, u,v, w, x, y, z}?
c. Is {{5, 4}, {7, 2}, {1, 3, 4}, {6, 8}} a partition of {1, 2, 3, 4, 5, 6, 7, 8}?
d. Is {{3, 7, 8}, {2, 9}, {1, 4, 5}} a partition of {1, 2, 3, 4, 5, 6, 7, 8, 9}?
e. Is {{1, 5}, {4, 7}, {2, 8, 6, 3}} a partition of {1, 2, 3, 4, 5, 6, 7, 8}?
The solution for these discrete mathematics questions will be: a) No. The element d is in two of the sets. B) Yes C) No. The element 4 is in two of the sets. D) No. None of the sets contains 6. E) a) no b) yes
The study of mathematical structures that are discrete rather than continuous (it's similar to discrete variables and having a bijection with the set of natural numbers) is known as discrete mathematics. Graphs, integers, and logical statements are among the objects studied in discrete mathematics.
Both finite and infinite sets of objects can be studied in discrete mathematics. Some areas of discrete mathematics that deal with finite sets, especially those that have a bearing on business, are referred to as "finite mathematics" at times.
To learn more about discrete mathematics: https://brainly.com/question/27793609
#SPJ4
Note that the full question is:
a) Is {{a, d, e}, {b, c}, {d, f}} a partition of {a, b, c, d, e, f }?
Yes or No
(b) Is {{w, x, v}, {u, y, q}, {p, z}} a partition of {p, q, u, v, w, x, y, z}?
Yes or No
(c) Is {{5, 4}, {7, 2}, {1, 3, 4}, {6, 8}} a partition of (1, 2, 3, 4, 5, 6, 7, 8}?
Yes or No
(d) Is {{3, 7, 8}, {2, 9}, {1, 4, 5}} a partition of {1, 2, 3, 4, 5, 6, 7, 8, 9}?
Yes or No
(e) Is {{1, 5}, {4, 7}, {2, 8, 6, 3}} a partition of {1, 2, 3, 4, 5, 6, 7, 8}?
Yes or No
At the sewing store ava bought a bag of mixed buttons. She got 21 buttons in all. 21 of the buttons were large. What percentage of the buttons were large?
Answer:
100%
Step-by-step explanation:
25/25=100%
Which of the following statements is not correct concerning qualitative and quantitative research?
A.
Research cannot use both qualitative and quantitative methods in a study.
B.
Research can use both qualitative and quantitative data in a study.
C.
Quantitative research uses numbers and measurements.
D.
Qualitative research uses descriptions and observations.
A.
Research cannot use both qualitative and quantitative methods in a study.
The correct statement among the given options is A. "Research cannot use both qualitative and quantitative methods in a study."
This statement is not correct because research can indeed use both qualitative and quantitative methods in a study. Qualitative research focuses on collecting and analyzing non-numerical data such as observations, interviews, and textual analysis to understand phenomena in depth. On the other hand, quantitative research involves collecting and analyzing numerical data to derive statistical conclusions and make generalizations.
Many research studies employ a mixed methods approach, which combines both qualitative and quantitative methods, to provide a comprehensive understanding of the research topic. By using both qualitative and quantitative data, researchers can gather rich insights and statistical evidence, allowing for a more comprehensive analysis and interpretation of their findings.
Therefore, option A is the statement that is not correct concerning qualitative and quantitative research.
for such more question on qualitative
https://brainly.com/question/24565171
#SPJ8
The area of a rectangle is x2 - 3x - 54. Find the perimeter
The area of a rectangle is x² - 3x - 54.
To find the perimeter of the rectangle, we first need to find the length and width of the rectangle.
Step 1: Factor the area expression
To find the length and width of the rectangle, we need to factor x² - 3x - 54.
x² - 3x - 54 can be factored as follows:x² - 9x + 6x - 54(x - 9)(x + 6)
Therefore, the length is x - 9, and the width is x + 6.
Step 2: Find the perimeter of the rectangle
The perimeter of a rectangle is given by:
P = 2l + 2w
Where P is the perimeter, l is the length, and w is the width.
Substituting x - 9 for l and x + 6 for w,
we get:P = 2(x - 9) + 2(x + 6)P = 2x - 18 + 2x + 12
P = 4x - 6
Therefore, the perimeter of the rectangle is 4x - 6.
Answer: The perimeter of the rectangle is 4x - 6.
To know more about perimeter,visit:
https://brainly.com/question/19537179
#SPJ11
plz help it’s due tonight i rlly need help thanks