Answer:
x = 5, y = 139
Step-by-step explanation:
So we make an equation:
(8x + 1) + (9x - 4) + y + y, we got the other y because they are Alternate exterior angles.
We also know that (8x + 1) = (9x - 4)
So it would be 5 = x
Now we plug in the values to in (8x + 1) + (9x - 4) + y + y to get:
41 + 41 + y + y = 360
Now we subtract 82 from both sides and get 2y = 278, so y = 139
Hope this helps!!
Canada and the European Union require that cars be equipped with "daytime running lights," headlights that automatically come on at a low level when the car is started. Many manufacturers are now equipping cars sold in the United States with running lights. Will running lights reduce accidents by making cars more visible? An experiment conducted in a driving simulator suggests that the answer may be "Yes." What concerns would you have about generalizing the results of such an experiment?
Probably not all driving scenarios can be accurately simulated by a driving simulator. Additionally, it's likely that simulator users have a different mindset than when they're actually behind the wheel.
Define the term experiment?The cited data:
By improving visibility during the day, daytime running lights can reduce accidents. Daytime running lights are used to help drivers gauge the size of the vehicle.Idea applied in experiment:
An institutional review committee must first approve any human experiments. All participants must give their informed consent prior to participating. Any details pertaining to study participants must remain confidential.A driving simulator is therefore unlikely to adequately replicate all driving scenarios, which is one of our concerns about extending the outcomes of such an investigation.
Thus, users of driving simulators are also probably in a different frame of mind than they are while driving is real life.
To know more about the experiment, here
https://brainly.com/question/17274244
#SPJ1
line b passes through points (-20, 4) and (-21, 96). line c is parallel to line b. what is the slope of line c?
The slope of the line c is - 92.
The points via which the line b passes are:
(-20, 4) and (-21, 96).
The slope of the line is given by:
m = (y₂ - y₁) / (x₂ - x₁)
Slope of the line b passing through these points are:
m = (96 - 4) / (- 21 + 20)
m = (92) / (-1)
m = - 92
Since, line b is parallel to line c,
Slope of line b = slope of line c
So, the slope of line c is also:
m' = - 92
Therefore, we get that, the slope of the line c is - 92.
Learn more about slope here:
https://brainly.com/question/3493733
#SPJ4
A writer sells 100 call options with strike $42 for $0.91 each and deposits these premiums in a bank. The calls mature in 30 days, and the bank's interest rate over those 30 days is 5%. At expiry the underlying asset of the call is worth $39 each. At expiry, the writer withdraws all cash from the bank, purchases the necessary amount of shares on the open market and completes the call contract. What is the writer's profit? Give your answer correct to two decimal places, and if the writer makes a loss include a minus sign.
The writer's profit is $84.00. To calculate the writer's profit, you need to consider the premiums collected from selling the call options, the interest earned on those premiums, and the cost of buying the shares to complete the call contract.The premiums collected from selling the call options are:$0.91 x 100 = $91.00The interest earned on those premiums over 30 days at 5% is:($91.00 x 0.05 x 30) / 365 = $0.38The total amount of cash available to the writer at expiry is therefore:$91.00 + $0.38 = $91.38The cost of buying the shares to complete the call contract is:100 x $42 = $4,200.00Since the underlying asset is worth $39 at expiry, the writer can buy the necessary shares for:100 x $39 = $3,900.00The writer's profit is therefore:$91.38 - $3,900.00 = $84.00Since the writer made a profit, the answer is $84.00.
Hope I helped you...
There are white, blue, and red boats in a marina. Three-fourths of the boats in the marina are white,4/7
of the remaining boats are blue, and the rest are red. If there are 9 red boats, how many boats are in the marina?
The solution is 84 boats
The total number of boats in the marina is 84 boats
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total number of boats in the marina be A
Now , the value of A is
And , the number of boats in the marina that are white = ( 3/4 ) A
So , the remaining boats = A - ( 3/4 ) A
The remaining boats = ( 1/4 ) A
And , 4/7 of the remaining boats are blue
So , substituting the values in the equation , we get
The number of boats in the marina that are blue = 4/7 ( ( 1/4 ) A )
The number of boats in the marina that are blue = ( 1/7 ) A
And ,
The remaining number of boats are red
So , the remaining number of boats = A - ( number of boats in the marina that are white + number of boats in the marina that are blue )
Substituting the values in the equation , we get
Number of boats in the marina that are red = A - ( 3/4 A + 1/7 A )
Number of boats in the marina that are red = A - ( 25/28 ) A
Number of boats in the marina that are red = ( 3/28 ) A
Now , There are 9 red boats , so substituting the value in the equation ,
Number of boats in the marina that are red = 9 = ( 3/28 ) A
On simplifying the equation , we get
( 3/28 ) A = 9
Multiply by 28 on both sides of the equation , we get
3A = 9 x 28
Divide by 3 on both sides of the equation , we get
A = 3 x 28
A = 84 boats
Therefore , the value of A is 84 boats
Number of red boats = 9 boats
Number of white boats = ( 3/4 ) A = 3/4 x 84 = 63 boats
Number of blue boats = ( 1/7 ) A = 1/7 x 84 = 12 boats
Total number of boats = 9 + 12 + 63 = 84 boats
Hence , The total number of boats is 84 boats
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ1
I need help I’ll appreciate if you help thank you
Answer:
b
Step-by-step explanation:
u start at (0,9.5) and with every increasing x value the y value is decreasing by .5 units
Line a is a perpendicular bisector of line segment K M. It intersects line segment K M at point L. Line a also contains point N. Line segment K L is 9 x +5. Line segment K N is 14 x minus 3. What is the length of segment LM? units
Answer:
The value of segment LM is 9x + 5.
Step-by-step explanation:
Consider the image below.
A perpendicular bisector is a line segment that bisects another line segment into two equal parts and is perpendicular to this line segment.
So from the diagram below we know:
KL = LM
line a is ⊥ to KM
∠NLK = 90°
Since the angle measure of ∠NKL is not provided we cannot determine the value of x.
So, the value of segment LM is 9x + 5.
The answer is 23 units. I got this answer right on this question, if this do help please tap the heart or comment that this helped you. : ) have a lovely day
Find the missing dimension of the cone. Round your answer to the nearest tenth.
Volume = 3.6 in.³
\(\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=3.6\\ h=4.2 \end{cases}\implies 3.6=\cfrac{\pi r^2(4.2)}{3}\implies 10.8=4.2\pi r^2 \\\\\\ \cfrac{10.8}{4.2\pi }=r^2\implies \sqrt{\cfrac{10.8}{4.2\pi }}=r\hspace{5em}\stackrel{\textit{diameter = 2r}}{2\sqrt{\cfrac{10.8}{4.2\pi }}} ~~ \approx ~~ \text{\LARGE 1.8}\)
Jenny is tracking the monthly sales totals for her boutique. The given piecewise function represents the boutique's monthly sales, in dollars,
where x represents the number of months since Jenny began tracking the data.
0 < I<3
f(0) =
100.5 + 5,024
3
-12 + 53 +5,630, 6
(4,000(1.1)",
What were the boutique's monthly sales when Jenny first began tracking the data?
A
$4,000
В.
$5.324
C. $5,616
D. $4,400
Answer:
It's A.
Step-by-step explanation:
I just did it on edmentum (plato)
hope this helps!!
vote brainliest if it did!
:))))
The boutique's monthly sales when Jenny first began tracking the data is 4000
What is piecewise function?
A function which is defined by multiple sub-functions, each sub-function applying to a certain interval of the main function's domain (a sub-domain).
Given:
According to given function we can say that there x represent the number of month.
So, if jenny begin tracking the data then jenny spend 0 month on working
Thus, we will use the function
f(x)= 4000*(1.1)^x
f(x)= 4000*(1.1)^0
f(x)= 4000
Learn more about piecewise function here:
https://brainly.com/question/12561612
#SPJ2
A lake in East Texas was stocked with 3,000 trout in the year 2000. The number of fish in the lake is modeled by f(x) = 3000 + 100x, where x represents the number of years after 2000. Which of the following is the most reasonable domain and range for the function?
Answer: x ≥0,y ≥3000
Step-by-step explanation:
that’s what i put and got it right so ♀️
what is the probability of being served immediately in a three-server model?
The probability of being served immediately in a three-server model is 0.2143 or approximately 21.43%.
Consider that the arrivals follow a Poisson distribution and the service times follow an exponential distribution, the probability of being served immediately in a three-server model can be calculated using the Erlang-C formula.
The Erlang-C formula is given by:
\(P0 = 1/[1 + (A1/A)^1 + (A2/(A*A1))^2/2 + (A3/(A*A1*A2))^3/3! + ... + (Ak/(A*A1*...*Ak-1))^k/k! + ...]\)
A = total traffic intensity for the system
The traffic intensity for each server is given by:
\(Ak = (A^k/k!) * P0\)
Where k = number of servers.
LEt A = λ/3μ
where 3 is the number of servers.
Using these formulas,
\(P0 = 1/[1 + ((λ/3μ)/1)^1 + ((λ/3μ)/(λ/3μ))^2/2 + ((λ/3μ)/(λ/3μ)^2)^3/3!]\)
Simplifying the expression, we get:
\(P0 = 1/[1 + 1/3 + (1/9)(1/3)^2 + (1/27)(1/3)^3]\)
P0 = 0.2143
Therefore, the probability of being served immediately in a three-server model is 0.2143
Learn more about Probability:
brainly.com/question/13604758
#SPJ4
There are 20 people trying out for a team. How many ways can you make randomly select for people to make a team?
There are 15,504 ways to randomly select a team of 5 people from a group of 20 people
If there are 20 people trying out for a team, the number of ways to select a team of n people can be calculated using the formula for combinations, which is:
C(20, n) = 20! / (n! * (20 - n)!)
where C(20, n) represents the number of ways to select n people from a group of 20 people.
For example, if we want to select a team of 5 people, we can plug in n = 5 and calculate:
C(20, 5) = 20! / (5! * (20 - 5)!) = 15,504
Therefore, there are 15,504 ways to randomly select a team of 5 people from a group of 20 people. Similarly, we can calculate the number of ways to select teams of different sizes by plugging different values of n into the formula for combinations.
Learn more about randomly
https://brainly.com/question/4013322
#SPJ4
What is the next number in the sequence 11/12,5/6,3/4,2/3
A train leaves the station at 11 a.m. traveling at the rate of 40 miles per hour. A faster train leaves the same station at 1 p.m. that afternoon and travels in the same direction on a parallel track at a rate of 60 miles per hour. At what time will the faster train overtake the slower one
The faster train overtake the slower on 5 p.m.
How to solve such time related questions?
The key concept for solving such questions is the relationship between speed, distance and time.
The relationship between them is Distance = Speed x Time.
Let the number of hours after 1pm at which faster train will overtake slower train be x.
At overtaking point,
Distance travelled by slower train = Distance travelled by faster train
Given :
Speed of slower train = 40 miles per hourSpeed of faster train = 60 miles per hourTime taken by faster train = xTime taken by slower train = x + 2.On equating distances we get
40 x ( x + 20) = 60 x (x)
40x + 80 = 60x
20x = 80
x = 4.
∴The faster train overtake the slower on 1 + 4 = 5 p.m.
Learn more about time related questions here :
https://brainly.com/question/23708432
#SPJ4
One of the output functions of a three inputs 3x8 decoder combinational output function in sum-of- minterms form: F = (0,1,2,3,7). What is the c function of this output? a) (x + y) (y+z) b) (x+y)(x+z) c) (y + 2) (x + 2)
The correct option is a) (x + y) (y + z). Given the output function F in sum-of-minterms form as F = (0, 1, 2, 3, 7), we need to determine the corresponding Boolean expression for the output function.
A 3x8 decoder has three input variables (x, y, z) and eight output variables, where each output variable corresponds to a unique combination of input variables. The output variables are typically represented as minterms.
Let's analyze the given output function F = (0, 1, 2, 3, 7). The minterms represent the outputs that are equal to 1. By observing the minterms, we can deduce the corresponding Boolean expression.
From the minterms, we can see that the output is equal to 1 when x = 0, y = 0, z = 0 or x = 0, y = 0, z = 1 or x = 0, y = 1, z = 0 or x = 0, y = 1, z = 1 or x = 1, y = 1, z = 1.
By simplifying the above conditions, we get (x + y) (y + z), which is the Boolean expression corresponding to the given output function F.
In summary, the correct option is a) (x + y) (y + z).
To learn more about function, click here: brainly.com/question/11624077
#SPJ11
Which phase of inferential statistics is sometimes considered to be the most crucial because errors in this phase are the most difficult to correct?
The phase of inferential statistics which is sometimes considered to be the most crucial because errors in this phase are the most difficult to correct is "data gathering".
What is inferential statistics?Inferential statistics are frequently employed to compare treatment group differences.
Some characteristics of inferential statistics are-
Inferential statistics compare treatments groups and make conclusions about the greater population of participants using measures from the experiment's sample of subjects.Inferential statistics aids in the development of explanations for a condition or phenomenon. It enables you to draw conclusions on extrapolations, which distinguishes it from descriptive statistics, which simply summarize the information that has been measured.There are numerous varieties of inferential statistics, each with its own set of research design & sample characteristics. To select the correct statistical test of their experiment, researchers should reference the numerous texts about experimental design and statistics.To know more about the inferential statistics, here
https://brainly.com/question/4774586
#SPJ4
Which equations are equal to this equation? Select all that apply. 14 (8x + 56) = 20 A. 56 + 8x = 80 B. 14 = 20 – 8x C. 2x + 14 = 5 D. 2x = 6
The equivalent equations are A. 56 + 8x = 80, B. 14 = 20 – 8x, and
D. 2x = 6
Equivalent equations :The equations which have the same set of solutions are known as Equivalent equations. This means that any value that satisfies one of the equations will also satisfy the others.
To determine if two equations are equivalent, we can simplify or transform one equation into another using various algebraic operations.
Some common algebraic operations include adding, subtracting, multiplying, and dividing both sides of an equation by the same non-zero value.
Here we have
1/4 (8x + 56) = 20
Which can be simplified as follows
=> (8x + 56) = 80
=> 8x + 56 = 80
=> 8x = 80 - 56
=> 8x = 24
=> 2x = 6
To find the equivalent equations simplify each option as follows
A. 56 + 8x = 80
=> 8x = 24
=> 2x = 6 [ Which is an equivalent equation ]
B. 14 = 20 – 8x
=> 8x = 6 [ Which is an equivalent equation ]
C. 2x + 14 = 5
=> 2x = -9 [ Which is not equivalent equation ]
D. 2x = 6 [ Which is an equivalent equation ]
Therefore,
The equivalent equations are A. 56 + 8x = 80, B. 14 = 20 – 8x, and
D. 2x = 6
Learn more about Equivalent equations at
https://brainly.com/question/29013156
#SPJ1
Which method can be used to solve - 3-5 = 15? PLEASE HELP!
Answer:
cross multiply
Step-by-step explanation:
Answer:
OOOoOOOOOOOOooOOooOOOoOoOoOoOoOoOooooooooOOOOFFFFFFFFFFFFFFFFFFFFF
Step-by-step explanation:
You did the same thing to me
What is it? Could someone draw these coordinates
The coordinates are simple. Hope you understand this and you can draw it out.
ram will be 5 times as old as he is now after 8 years. how many years hence will he be 10 times as old as he is now?
Ram will be 5 times as old as he is now after 8 years. Ram will be 10 times as old as he is now in 18 years hence.
To determine when Ram will be 10 times as old as he is now, let's first find out his current age.
The student question states that Ram will be 5 times as old as he is now after 8 years. Let's denote Ram's current age as "x" years.
Step 1: Write the equation to represent Ram's age 8 years from now.
In 8 years, Ram's age = 5 × (current age)
So, 5x = x + 8
Step 2: Solve the equation to find Ram's current age.
4x = 8
x = 2
So, Ram's current age is 2 years old.
Now, let's find how many years hence he will be 10 times as old as he is now.
Step 3: Write the equation to represent when Ram will be 10 times as old as he is now.
10 × (current age) = (current age) + (years hence)
10 × 2 = 2 + y (where y = years hence)
Step 4: Solve the equation to find the years hence.
20 = 2 + y
y = 18
So, Ram will be 10 times as old as he is now in 18 years hence.
for such more question on times
https://brainly.com/question/25734188
#SPJ11
help me with this.
Calculate angles in a triangle
Step-by-step explanation:
Total Angle in a triangle is 180°
so D = 140 + 25 = 165°
D = 190° - 165° = 15°
Your answer is 15°.
Answer:
angle d = \(\boxed{15}^ {\circ}\)
Step-by-step explanation:
The angles in a triangle add up to 180°.
∴ ∠d + 25° + 140° = 180°
⇒ ∠d + 165° = 180°
⇒ ∠d = 180° - 165°
⇒ ∠d = 15°
below the paraboloid z = 18 − 2x2 − 2y2 and above the xy-plane
Answer:
y
2
=−
2
z
+7
Steps for Solving Linear Equation
z=18−2×2−2y2
Multiply 2 and 2 to get 4.
z=18−4−2y
2
Subtract 4 from 18 to get 14.
z=14−2y
2
Swap sides so that all variable terms are on the left hand side.
14−2y
2
=z
Subtract 14 from both sides.
−2y
2
=z−14
Divide both sides by −2.
−2
−2y
2
=
−2
z−14
Dividing by −2 undoes the multiplication by −2.
y
2
=
−2
z−14
Divide z−14 by −2.
y
2
=−
2
z
+7
Step-by-step explanation:
the given equation defines a paraboloid that lies below the plane z=0. Specifically, it is situated above the xy-plane, which means that the z-values of all points on the surface are greater than or equal to zero.
we can break down the equation z=18-2x^2-2y^2. This equation represents a paraboloid with its vertex at (0,0,18) and axis of symmetry along the z-axis. The first term 18 is the z-coordinate of the vertex and the last two terms -2x^2 and -2y^2 determine the shape of the paraboloid.
Since the coefficient of x^2 and y^2 terms are negative, the paraboloid is downward facing and opens along the negative z-axis. Therefore, all points on the paraboloid have z-values less than 18. Additionally, since the paraboloid is situated above the xy-plane, its z-values are greater than or equal to zero.
the paraboloid defined by the equation z=18-2x^2-2y^2 is situated below the plane z=0 and above the xy-plane. Its vertex is at (0,0,18) and it opens along the negative z-axis.
To know more about paraboloid, visit:
https://brainly.com/question/30925041
#SPJ11
What is would be perpendicular to the equation y=4x+1
ID:
A normal distribution has meanu and standard deviation o. An x-value is randomly selected from the
distribution. Find P(mu - 2sigma <= x <= mu + 3sigma)
Answer:
Step-by-step explanation:
d
John bought 8 goats at 1040000.He sold these goats and made a profit of 15% on each goat.How much did he sell each goat?
Answer:
149500
Step-by-step explanation:
since there's 8 goats, each goat would be 1040000/8, which is 130000 per goat.
marketing at a 15% increase means the new percentage would be 115%, which could be represented by 1.15.
130000 * 1.15 = 149500 / goat
LOTS OF POINTS PLUS BRINAISTTTTTTTTTTTTTTTTTTTTTTTTT :) :))))))))))))))))))))))))))))))))))))))))))))))
Which of these expressions have negative values? Select all that apply.
2 + 2(-3)(7)
-2(27 ÷ 9)+4
(14 ÷ -2)(-6)
(4 - 10) - ( 8 ÷ ( -2))
HELP!
Answer:
1. 2. 4. all have negative answers
Step-by-step explanation:
2 + 2(-3)(7)= -40
-2(27 ÷ 9)+4= -2
(4 - 10) - ( 8 ÷ ( -2))= -2
Hope this helped!
For a publisher of technical books,the probability that any page contains at least one error is p=.005.Assume the errors are independent from page to page.What is the approximate probability that one of the 1000 books published this week will contain almost 3 pages with errors?
The approximate probability that one of the 1000 books published this week will contain almost 3 pages with errors is 0.414 or 41.4%. Note that this is an approximation because the Poisson distribution assumes independence between the trials, but errors may be correlated within a book or across books.
To solve this problem, we can use the Poisson distribution, which approximates the probability of rare events occurring over a large number of trials. In this case, the rare event is a page containing an error, and the large number of trials is the 1000 books published.
The average number of pages with errors per book is p * number of pages = 0.005 * 500 = 2.5. Using the Poisson distribution, we can find the probability of having almost 3 pages with errors in one book:
P(X = 3) = (e^(-2.5) * 2.5^3) / 3! = 0.143
This is the probability of having exactly 3 pages with errors. To find the probability of having almost 3 pages (i.e., 2 or 3 pages), we can sum the probabilities of having 2 and 3 pages:
P(X = 2) = (e^(-2.5) * 2.5^2) / 2! = 0.271
P(almost 3 pages) = P(X = 2) + P(X = 3) = 0.271 + 0.143 = 0.414
Therefore, the approximate probability that one of the 1000 books published this week will contain almost 3 pages with errors is 0.414 or 41.4%. Note that this is an approximation because the Poisson distribution assumes independence between the trials, but errors may be correlated within a book or across books.
To know more about probability visit :
https://brainly.com/question/30034780
#SPJ11
Ramesh arranged his 17424 chocolates in such a way that there are as many rows as there are chocolates in each row. How many chocolates did he place in each row?
Answer:
132 chocolates
Step-by-step explanation:
We know that after Ramesh arranges his chocolates in rows, the number of rows multiplied by the number of chocolates in each row will give us the total number of chocolates, 17424.
Let the number of rows be x.
From the question, the number of chocolates in each row will also be x.
\(=> x * x = 17424\\\\x^2 = 17424\\\\=> \sqrt{x^2} = \sqrt{17424} \\\\x = 132\)
Therefore, he placed 132 chocolates in each row.
A reaction with a calculated yield of 9.23 g produced 7.89 g of product. What is thepercent yield for this reaction?
The required percentage yield for the reaction when theoretical yield and actual yield are given is calculated to be 85.5 %.
The maximum mass that can be generated when a particular reaction occurs is referred to as theoretical yield.
Theoretical yield is given as mt = 9.23 g
The actual amount of product recovered is given as ma = 7.89 g
We must comprehend that in order to calculate the reaction's percent yield, we must divide the total amount of product recovered by the utmost amount that can be recovered. If we multiply by 100%, we can represent this fraction as a percentage.
Percentage yield = ma/mt × 100 = 7.89/9.23 × 100 = 85.5 %
To know more about reactions:
https://brainly.com/question/29191570
#SPJ4
find the exact value of sin(0) when cos(0) =3/5 and the terminal side of (0) is in quadrant 4
When the cosine of an angle (0) is 3/5 and the angle lies in quadrant 4, the exact value of the sine of that angle is -4/5.
To find the exact value of sin(0), we can utilize the Pythagorean identity, which states that \(sin^2(x) + cos^2(x) = 1,\) where x is an angle in a right triangle. Since the terminal side of the angle (0) is in quadrant 4, we know that the cosine value will be positive, and the sine value will be negative.
Given that cos(0) = 3/5, we can determine the value of sin(0) using the Pythagorean identity as follows:
\(sin^2(0) + cos^2(0) = 1\\sin^2(0) + (3/5)^2 = 1\\sin^2(0) + 9/25 = 1\\sin^2(0) = 1 - 9/25\\sin^2(0) = 25/25 - 9/25\\sin^2(0) = 16/25\)
Taking the square root of both sides to find sin(0), we have:
sin(0) = ±√(16/25)
Since the terminal side of (0) is in quadrant 4, the y-coordinate, which represents sin(0), will be negative. Therefore, we can conclude:
sin(0) = -√(16/25)
Simplifying further, we get:
sin(0) = -4/5
Hence, the exact value of sin(0) when cos(0) = 3/5 and the terminal side of (0) is in quadrant 4 is -4/5.
For more question on cosine visit:
https://brainly.com/question/30766161
#SPJ8
Note the correct and the complete question is
Q- Find the exact value of sin(0) when cos(0) =3/5 and the terminal side of (0) is in quadrant 4 ?
I NEED HELP ASAP A store sold a case of scented candles for $18.00 that had been marked up 20%. What was the original price?
Answer:15
Step-by-step explanation: