If the integer begins through being rational, multiplying by 0.5 would not change whether or not something is rational. It will continue with rational numbers.
What is a rational number?In mathematics, a rational number is a number that can be written as the quotient or fraction p/q of two numbers, an integrand p and a non-zero denominator q.
For instance, −3/7 is a rational number, and so is every integer.
So, in that case, any even number would be 12 * 0.5 = 6.
The solution is reasonable because 12 began as rational (6).
Any odd number also is rational:
23 * 0.5 = 11.5
23 and 11.5: Both rational
1.818181818 is reasonable hence when multiplied by 0.5 the result will be rational 3.636363636.
Therefore, if we begin with an irrational number like π:
π*0.5: Not rational
Therefore, if the integer begins through being rational, multiplying by 0.5 would not change whether or not something is rational. It will continue rational.
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Correct question:
Which number produces a rational number when multiplied by 0.5?
The equation f(t) = 24,500 x (0.88)t represents the value of a car, in dollars, years after it was purchased.
What do the numbers 24,500 and 0.88 mean?
What does represent?
Sketch a graph that represents the function and shows and .
the function should be represented as f(t) = 24,500( 0.88[tex])^{t}[/tex]
What is an Equations?
Equations are mathematical statements with two algebraic expressions on either side of an equals (=) sign. It illustrates the equality between the expressions written on the left and right sides. To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.
Given, f(t) = 24,500 x (0.88)t
Assuming that the value of the car only increases by 88% per year compared to the previous year, the function rule needs to have "t" as the exponent, thus it should be f(t) = 24,500( 0.88[tex])^{t}[/tex]
Hence, the function should be represented as f(t) = 24,500( 0.88[tex])^{t}[/tex]
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scores on an english test are normally distributed with a mean of 30.6 and a standard deviation of 6. a) what percentage of students score below 33? b) find the score that is at the 80th percentile.
(a) 0.65542 proportion of pupils receive a score below 33.
b) the score that falls within the 80% range is 35.64.
Given that,
English test results have a mean of 30.6 and a standard deviation of 6, and they are normally distributed.
We have to find
(a) What proportion of pupils receive a score below 33.
b) Determine the score that falls within the 80% range.
We know that,
X: Scores of an english test
X≈N(30.6 , 6²)
(a) P(X<33)= P(Z<33-30.6/6)
=P(Z<0.4)
=1-P(Z>0.4)
=1-0.34458
=0.65542
(b) P(X<x)=0.80
P(Z<x-30.6/6)=0.80
1-P(Z>x-30.6/6)=1-0.80
P(Z>x-30.6/6)=0.20
x-30.6/6=0.20
x= 35.64
Therefore,
(a) 0.65542 proportion of pupils receive a score below 33.
b) the score that falls within the 80% range is 35.64.
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I need help with this question please
Answer:
1512 inches
Step-by-step explanation:
42 x 36
HELP!!!! Find the measure.
Answer:
Step-by-step explanation:
m∠1=68°
m∠2=62°
m∠3=50°
m∠4=112°
m∠5=50°
m∠6=112°
m∠7=68°
m∠8=68°
m∠9=112°
m∠10=85°
m∠11=95°
m∠12=50°
m∠13=27°
Please help me ,really need help
The classification of each pair of angles is given below.
What is an angle?
When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together.
The Latin word "angulus," which means "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.
Corresponding angle = figure 3 and figure 5
Alternate interior angle = figure 4
Alternate exterior angle = figure 1
None of these = figure 2
Hence, these are the required answer.
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A company offers four plans for customers who want to rent DVDs and video games. The cost of the plans can be modeled by a linear function that combines a one time membership fee with a per disc rental rate. The table shows the total cost, including membership fees, for a person who rents 1,2 and 5 discs in a month
Discs rented plan A B C D
1. $14. $12. $10. $12
2. $17. $16. $15. $21
5. $26. $28. $30. $48
The plan with the smallest one-time membership fee is Plan D.
The point-slope formula will be used to determine the equation that models the cost of each plans.
(y - y₁) = [(y₂ - y₁)/(x₂ - x₁)](x - x₁)
where (x₁, y₁) is the coordinates of point 1
(x₂, y₂) is the coordinates of point 2.
For the equation y = mx + b,
let x = number of discs rented
y = total cost
m = rental rate per disc
b = one-time membership fee
Plan A
(y - 14) = [(17 - 14)/(2 - 1)](x - 1)
y - 14 = 3x - 3
y = 3x + 11
Plan B
(y - 12) = [(16 - 12)/(2 - 1)](x - 1)
y - 12 = 4x - 4
y = 4x + 8
Plan C
(y - 10) = [(15 - 10)/(2 - 1)](x - 1)
y - 10 = 5x - 5
y = 5x + 5
Plan D
(y - 12) = [(21 - 12)/(2 - 1)](x - 1)
y - 12 = 9x - 9
y = 9x + 3
Hence, the plan with the smallest one-time membership fee, b, is Plan D.
Your question is incomplete, but most probably you are asking
"...Which plan has the smallest one-time membership fee?"
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The equation 7.50h+50/4h=18h+33 represents a possible constraint about a situation
A. Solve the equation and check your solution
The equation 7.50h + 50/4h = 18h + 33 which represent a possible constraint about a situation gives the value of h as 16.5
Hiw to solve equation?
7.50h + 50/4h = 18h + 33
Collect like terms
7.50h + 50/4h - 18h = 33
7.50h + 12.5h - 18h = 33
2h = 33
divide both sides by 2
h = 33/2
h = 16.5
In conclusion, the value of h from the given equation is 16.5
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you are an art salesperson whose job is to sell paintings. you sell paintings at art festivals, as well as out of your studio on non- festival days festivals occur once every 20 days and there is independently a 10% chance of a sale on any given day. you also know that half of previous sales have occurred during festivals. if there is a festival what is the probability of a sale?
Sales probability, or sales forecasting, is a process where a company attempts to predict its sales in the future.
How do you find the probability of sales?Opportunity stage forecasting: This method uses the probability of closing deals at each stage of a sales interaction, or the close rate of a company. The formula is "sales forecast = total value of current deals in sales cycle x close rate."Probability determines the likelihood of an event occurring: P(A) = f / N. The formula to calculate gross sales is Total Units Sold x Original Sale Price = Gross Sales.Multiply your estimated units sold by your price per unit and then multiply that result by how many months you projected revenue will cover. This is how much revenue you should expect to bring in for that product or service.Probability is calculated by dividing the number of ways the event can occur by the total number of outcomes. Probability and odds are different concepts. Odds are the probability that something happens divided by the probability that it doesn't happen.We are given that you and a group of friends are going to a five-day outdoor music festival during spring break.Also, Probability that there may be rain on first day, P(A) = 0.15Probability that there may be rain on second day, P(B) = 0.10Probability that there may be rain on third day, P(C) = 0.20Probability that there may be rain on fourth day, P(D) = 0.20Probability that there may be rain on fifth day, P(E) = 0.60It is also provided that these probabilities are independent of whether it rained on the previous day or not.Now, probability that it does not rain during the entire festival = Probability that there may not be rain on all five days
(1 - P(A))*(1 - P(B))* (1 - P(C))* (1 - P(D))* (1 - P(E))
= (1 - 0.15)*(1 - 0.10)*(1 - 0.20)*(1 - 0.20)*(1 - 0.60)
= 0.85* 0.90*0.80*0.80*0.40 = 0.19584
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The table shows the flying speeds of several birds. PLEASE HELP ME FAST
Bird: ║ speed:
spined tailed swift ║2843.2m/min
spur-winged goose ║1291ft/sec
Eider duck ║31.3m/sec
Mallard ║65mi/h
a) which bird is the fastest? Which bird is the slowest?
b)The pererine falcon has a dive speed of 322km per hour. Is the dive speed of the peregrine falcon faster than the flying speed of any of the birds? Explain.
A. The fastest bird is the spin-tailed swift and the slowest bird is the mallard.
B. the dive speed of the peregrine falcon is faster than any other birds given in the question.
What is speed?
The speed at which an object's location changes in any direction. The distance traveled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.
Here, we have
A. the speed of a spin-tailed swift is 2843.2m/min.
We have to convert the speed to m/sec.
From above we know that,
1 min = 60 sec
2843.2 m/min = 2843.2m/1minm
2843.2/60 = 47.386m/sec
2843.2 m/min = 47.386m/sec
The speed of a spur-winged goose is 129.1ft/sec.
We have to convert the speed to m/sec.
From above we know that,
1ft = 0.3048m
129.1ft/sec = 129.1/1sec
129.1ft/sec = 39.349m/sec
Hence, from the above, we can say that the fastest bird is the spin-tailed swift and the slowest bird is the mallard.
B. From part (a) we get,
The speed of the different birds in m/sec is given below:
Spine tailed swift
2843.2m/min = 47.386m/sec
Spur-winged goose
129.1ft/sec = 39.349m/sec
Eider duck
31.3m/sec
Mallard
65mi/h = 29.051m/sec
The dive speed of the peregrine falcon is
322km/h = 322km/1h
= 322(1000)m/1(3600)sec
= 89.444m/sec
Hence, the dive speed of the peregrine falcon is faster than any other bird given in the question.
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Answer:
I’m fat
Step-by-step explanation:
eat food, then sleep
today b is 3 times older than a. in 5 years b will be 2 times older than a. how old are a and b today?
If we substitute a = 5 into the equation 3a = 15, we get b = 15.
Therefore, a = 5 and b = 15.
We are given that b is 3 times older than a, so b = 3a.
We are also told that in 5 years b will be 2 times older than a, so b = 2(a + 5).
We can set 3a = 2(a + 5) and solve for a.
3a = 2a + 10
2a = 10
a = 5
Therefore, a = 5 and b = 3a = 15.
We know that today, b is 3 times older than a. This means that b = 3a. We can use this equation to help us solve the problem.
We know that in 5 years' time, b will be 2 times older than a. This means that in 5 years, b = 2(a + 5). We can use this equation to help us solve for a and b.
We can set the two equations equal to each other, 3a = 2(a + 5). We can then solve for a, which gives us a = 5.
We can then substitute this value into either of the equations to find the value of b. If we substitute a = 5 into the equation 3a = 15, we get b = 15.
Therefore, a = 5 and b = 15.
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someone answer what pair of transformations is equivelent to the transformation described by (xx,y) -(x,-y+1)?
The pair of transformations that is equivalent to the transformation described by (x,y) -> (x,-y+1) is (x, -y) and (x, y + 1)
How to determine the pair of transformations?From the question, we have the following parameters that can be used in our computation:
(x,y) ⇒ (x,-y+1)
The above represents the transformation from a point to the image of the point
The first transformation is from
(x,y) ⇒ (x,-y)
This represents a reflection across the x-axis
The second transformation is from
(x,-y) ⇒ (x,-y + 1)
This represents a translation up by 1 unit
Hence, the pair of transformations is (x,y) ⇒ (x,-y) and (x,-y) ⇒ (x,-y + 1)
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How do you find the slope of the line passing through the points (-10, 5), and (2, 5) ?
Answer:
0
Step-by-step explanation:
slope = (5-5)/(-10-2)
0/-12
0
Help pls I don’t understand
Answer: I think its
x>-10/3
Step-by-step explanation:
Do anyone know the answers?
Answer:
e is 9x D is 4x c is 1× and a is 5× and b is 2×
say we had |v|-1 edges picked from a connected, weighted, and undirected graph. are we guaranteed that these edges form a mst? why or why not?
No, we can't guaranteed that these edges form a MST.
Since the edge (u, v) has the lowest weight in the graph, we begin by supposing that there is no MST of the graph that contains it. The contradiction that results from this is as follows. The graph must have at least one MST if it is connected because we know it has at least one spanning tree.
Think about such an MST T. Keep in mind that, based on our first hypothesis, it does not contain the edge (u, v). Therefore, by adding (u, v) and eliminating one other edge, let's say (x, y), from the cycle that the new edge creates, we can transform it into another spanning tree, denoted T'. Because (u, v) is the edge with the lowest weight, (x, y) has a weight larger than or equal to (u, v), and as a result, T's total weight is less than or equal to T.
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13. Myleen is looking at a flagpole at a 58° angle. If she is sitting 20 feet from the base of the
flagpole, how tall is the flagpole? ( sin 58° = 0.8480; cos58° = 0.5299; tan 58° -1.600)
A. 10.5 ft
B. 17 ft
C. 26 ft
D. 32 ft
The height of the flagpole is 16.96 ft or 17 ft using the angle of elevation .
What is angle of elevation ?
The angle of elevation is the angle between the horizontal line of sight and the line of sight up to an object.
Here ,
angle of elevation is 58 degree.
And distance of Myleen from base of flagpole = 20 ft.
So, the height of flagpole = 20*sin(58°)
= 20 * .8480
= 16.96
≈ 17 ft.
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2. The sum of eight squared and the quantity four times eleven
Answer:
Step-by-step explanation:
8^2 = 64
+
4*11 = 44
-> 64 + 44 = 108
earnings. 2. A minibus had 23 passengers at the beginning of a journey. Twelve passengers alighted at the hrst stop while 9 boarded. Six of those who boarded at the first stop alighted at the second stop and 12 got in. the minibus should not stop again up to the final destination. The charges from the starting point were sh.50 up to the first stop sh. 70 up to the second stop and sh.85 up to the first destination. a) How many passengers alighted at the final destination? b) How many passengers were ferried by the minibus through the journey? c) How much money was collected during the trip?
. A minibus had 23 passengers at the beginning of a journey. The passengers alighted at the final destination, passengers were ferried by the minibus through the journey, and money collected during the trip are
20 passengers alighted. 24 passengers 2820 shillings. How many passengers alighted at the final destination?Generally, a) The minibus had
23 - 12 + 9 = 20 passengers at the first stop.
After the second stop, it had
20 - 6 + 12 = 26, passengers.
At the final destination, 26 - 6 = 20 passengers alighted.
b) The minibus ferried a total of
23 + 12 + 9 - 6 - 12 = 24 passengers through the journey.
c) The charges for the first stop were
50 * 12 = 600 shillings.
The charges for the second stop were
70 * 6 = 420 shillings.
The charges for the final destination were
85 * 20 = 1700 shillings.
The total amount of money collected during the trip was
600 + 420 + 1700 = 2820 shillings.
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Determine the value of n that makes a system of equations with a solution that has a y-value of 2.
5x+6y= 32
2x + ny = 18
n=
(Simplify your answer.)
The value of n that makes a system of equations with a solution that has a y-value of 2 is n = 5
What is a system of equations?A system of equations is a pair of equation that contain two unknowns.
How to find the value of n in the system of equations?Given the system of equations
5x+6y= 32 (1)
2x + ny = 18 (2)
We desire the value of n where the value of y is 2
First, we make x subject of the formula from equation (1)
So, x = (32 - 6y)/5
Substituting x into equation (2), we have that
2x + ny = 18 (2)
2(32 - 6y)/5 + ny = 18 (2)
(64 - 12y)/5 + ny = 18
Multiplying through by 5, we have
64 - 12y + 5ny = 90
We now make n subject of the formula.
64 - 12y + 5ny = 90
- 12y + 5ny = 90 - 64
(- 12 + 5n)y = 26
-12 + 5n = 26/y
5n = 26/y + 12
n = 26/5y + 12/5
Since y = 2, substituting y into the equation, we have
n = 26/5(2) + 12/5
n = 26/10 + 12/5
n = (26 + 24)/10
n = 50/10
n = 5
So, the value of n = 5
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help me and thank you so much
Answer:
BRO IS GERMAN LOL
Step-by-step explanation:
if a car salesman makes $1100 a month plus a 3% commission on all sales, how much money did he make in a month where all his sales totaled $120,000?
Answer:
Step-by-step explanation:
Stop Cheating.
1. In a party for 30 young children, 12 were served Coca-Cola drink, while 14 were served pepsi-cola. If 9 children were served Coca- Cola but not with pepsi-cola, find a. the number of children served both drink. b. the number of children served at least one type of drink. C.the number of children not served any of the drinks.
solve with showing equations
The number of children served both Coca-Cola and Pepsi-Cola is 3, the number of children served at least one type of drink is 9, and the number of children not served any of the drinks is 9.
To solve this problem, we can use the following equations:
a. The number of children served both drinks = 9 (served Coca-Cola but not Pepsi-Cola) + X (served both Coca-Cola and Pepsi-Cola)
b. The number of children served at least one type of drink = 12 (served Coca-Cola) + 14 (served Pepsi-Cola) - X (served both Coca-Cola and Pepsi-Cola)
c. The number of children not served any of the drinks = 30 (total number of children) - (number of children served at least one type of drink)
Substituting the values given in the problem into the equations above, we get:
a. The number of children served both drinks = 9 + X
b. The number of children served at least one type of drink = 12 + 14 - X
c. The number of children not served any of the drinks = 30 - (12 + 14 - X)
Solving for X in each equation, we get:
a. X = 3 (children served both Coca-Cola and Pepsi-Cola)
b. X = 9 (children served at least one type of drink)
c. X = 9 (children not served any of the drinks)
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A line passes through the points (4, - 3) and (6, - 1) The equation of the line in slope -intercept form is y = mx + b . What is the value of b?
Answer:
-7
Step-by-step explanation:
First find the slope (m)
m = (-1-(-3) / (6-4) = 2/2 = 1
Now find b, the y-intercept, by plugging either point into the equation.
y = mx + b
-3 = 1(4) + b
b = -7
Find the 55th term of the arithmetic
sequence 8, 24, 40,
how other statistucal values are used to summarize data
Statistics regularly employs tables, charts, and graphs to present data visually.
What is meant by statistical values?Data can be summarized graphically or numerically (see "Graphical techniques in Statistics" for further information on the latter). The methods for numerical and graphical summarization that can be utilized depend on the type of data that was collected.
Statistics regularly employs tables, charts, and graphs to present data visually. The evaluation of raw data for patterns, data entry errors, and outlier values that can affect the statistical interpretation of the data is frequently started with examples like these.
It is important to show the data in tables, charts, and other statistical figures in a way that is both accurate and simple to understand. Additionally, tables are helpful for distilling the original data that forms the basis of a study's findings. To convey a lot of information in a small amount of area, they are effective.
The complete questions is:
Describe why charts/tables and other statistical values are used to summarize data and address the particulars of this assignment (be sure to include a thesis statement).
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[tex]\frac{m(nx-y^{2} )}{p} =3n \\[/tex]
make p the subject of formula
P is the subject of the formula if we rewrite it as:
p = m*(nx - y²)/3n
How to make p the subject of the formula?
The subject of a formula is the variable that is isolated, so here we only need to isolate the variable p.
The formula is:
m*(nx - y²)/p = 3n
First, we can multiply both sides by p to get:
m*(nx - y²) = 3n*p
Now we can divide both sides by 3n, then we will get:
m*(nx - y²)/3n = p
Now p is the subject of that formula.
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Solving the linear system of equations using elimination.
8x - 6y= -20
-8x + 4y = 24
Answer:
j
Step-by-step explanation:
Answer:
the solution to the system of equations 8x - 6y = -20 and -8x + 4y = 24 is x = -22 and y = -22.
Step-by-step explanation:
To solve a system of linear equations using elimination, we can add or subtract the equations to eliminate one of the variables. In this case, we can add the given equations to eliminate the variable x.
The given equations are 8x - 6y = -20 and -8x + 4y = 24. We can add these equations by aligning the like terms and then combining them. This gives us:
8x - 6y = -20
-8x + 4y = 24
-16x + 8y = -20 + 24
-16x + 8y = 4
Dividing both sides of the equation by 8, we get:
-2x + y = 1/2
Therefore, the solution to the system of equations is x = -1/2 and y = 1/2.
We can check our solution by plugging these values into the original equations to verify that they are true statements. Plugging x = -1/2 and y = 1/2 into the first equation, we get:
8(-1/2) - 6(1/2) = -20
-4 - 3 = -20
-7 = -20
This is not a true statement, so our solution is not correct.
One mistake we made was adding the equations instead of subtracting them. If we subtract the second equation from the first equation, we get:
8x - 6y = -20
-8x + 4y = 24
8x - 6y - (-8x + 4y) = -20 - 24
2x - 2y = -44
Dividing both sides of the equation by 2, we get:
x - y = -22
Therefore, the solution to the system of equations is x = -22 and y = -22.
We can check our solution by plugging these values into the original equations to verify that they are true statements. Plugging x = -22 and y = -22 into the first equation, we get:
8(-22) - 6(-22) = -20
-176 + 132 = -20
-44 = -20
This is a true statement, so our solution is correct. Similarly, plugging x = -22 and y = -22 into the second equation, we get:
-8(-22) + 4(-22) = 24
176 - 88 = 24
88 = 24
This is also a true statement, so our solution is correct. Therefore, the solution to the system of equations 8x - 6y = -20 and -8x + 4y = 24 is x = -22 and y = -22.
find the absolute maximum and absolute minimum (if any) of the given function on the specified interval. f (x)
The answer of the function found to be x = −4 and x = 2, with M = 38.
We must consider the function,
f (x) = x³ + 6x² + 6
Over the interval
-5 [tex]\leq[/tex] x [tex]\leq[/tex] 2
To obtain the extrema we start from the function's derivative.
f' (x) = 3x² + 12x
Equating it to 0,
f' (x) = 0 = 3x(x +4) = 0
We arrive at two solutions,
x1 = 0, x2 = -4 both inside the interval.
Evaluating the function at the stationary points,
f (x1) = 6
f (x2) = (-4)³ + 6 . (-4)² + 6 = -64 + 96 + 6 = 38
These values must be compared to that of the function at the interval frontiers,
f (-5) = (-5)³ + 6 . (-5)² + 6 = -125 + 150 + 6 = 31
f (2) = 2³ + 6 . 2² + 6 = 38
Comparing the results we can conclude that the function attains its absolute minimum at,
x = 0, m = 6
Meanwhile, the absolute maximum is attained at the points,
x = −4 and x = 2, with M = 38.
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The cost of 7 sandwiches and 5 milkshakes is $79. The cost of 2 sandwiches and 5 milkshakes is $44. How much does one sandwich cost and one milkshake cost?
HELP
Cost of one sandwich is $7 and cost of milkshake $5.
What is an equation?
In arithmetic, associate equation could be a formula that expresses the equality of 2 expressions, by connecting them with the sign =.
Main body:
According to question:
let cost of one sandwich be x and cost of milkshake be y .
7x + 5y = $79 -------(1)
2x + 5y = $44 -------(2)
subtracting equation 2 from 1 , we get
5x = 35
x = $7
so cost of one sandwich is $7.
now substituting value of x in equation 1 , we get
7(7) + 5y = 79
49 +5y = 79
5 y = 20
y = 4
so cost of one milkshake is $5.
Hence cost of one sandwich is $7 and cost of milkshake $5.
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what is the unit rate for the ratio 100 points/ 4 games?
The unit rate for the ratio 100 points/ 4 games is 25 points per game
How to determine the unit rate for the ratio?From the question, we have the following parameters that can be used in our computation:
Ratio = 100 points/ 4 games
The unit rate is simply the value of the above ratio
However, with a denominator of 1
This means that we evaluate the quotient in the above expression
So, we have the following representation
Ratio = 25 points/ 1 game
Express as unit rate
Unit rate = 25 points per game
Hence, the unit rate is 25 points per game
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