MZYX=pi/3 radians is equivalent to 60 degrees. To convert radians to degrees, we use the formula: degree measure = (radian measure) x (180/π)
So, to convert MZYX=pi/3 radians to degrees, we plug in the value:
degree measure = (pi/3) x (180/π)
The π in the numerator and denominator cancel out, leaving:
degree measure = (1/3) x 180
Simplifying, we get:
degree measure = 60
Therefore, MZYX=pi/3 radians is equivalent to 60 degrees.
It's important to understand the concept of radians and degrees when dealing with angles. Radians are a unit of measure for angles, just like degrees. However, while degrees divide a circle into 360 equal parts, radians divide a circle into 2π equal parts. One radian is the angle formed at the center of a circle when the length of the arc on the circumference is equal to the radius of the circle.
In summary, to convert radians to degrees, we use the formula: degree measure = (radian measure) x (180/π). We can use this formula to convert any angle given in radians to its equivalent measure in degrees.
learn more about radians here: brainly.com/question/13154620
#SPJ11
Match the graph to the type of function
The functions in this problem are classified as follows:
Function A: Linear.Function B: Quadratic.Function C: Exponential.How to classify the function?A linear function has the graph in the format of a line, hence function A is classified as a linear function.
A quadratic function has the graph in the format of a parabola, hence function B is classified as a quadratic function.
An exponential function has the graph that either increases or decreases very fast, hence function C is classified as an exponential function.
More can be learned about functions at https://brainly.com/question/10687170
#SPJ1
Find the probability that a student scored less than 600 or took less than 4 years of math. SHOW ALL WORK.
The probability that a student scored is 0.8.
How to find the probability?To find the probability that a student scored less than 600 or took less than 4 years of math.
We need to add the probabilities of each of these events occurring separately, and then subtract the probability of both events occurring together.
Let P(L) be the probability that a student scored less than 600 and P(M) be the probability that a student took less than 4 years of math.
We are not given the joint probability of both events, so we need to calculate it using the formula:
P(L and M) = P(L) + P(M) - P(L or M)
where P(L or M) is the probability that a student scored less than 600 or took less than 4 years of math.
Assuming that the events of scoring less than 600 and taking less than 4 years of math are independent, we can calculate their probabilities separately:
P(L) = 0.35 (given)
P(M) = 0.25 (given)
To calculate P(L or M), we add the probability of scoring less than 600 to the probability of taking less than 4 years of math, and then subtract the probability of both events occurring together:
P(L or M) = P(L) + P(M) - P(L and M)
We don't have the value of P(L and M), so we cannot directly calculate P(L or M). However, we know that the sum of probabilities of all possible events is equal to 1.
Therefore, we can use the formula:
P(not L and not M) = 1 - P(L or M)
where P(not L and not M) is the probability that a student scored 600 or more and took 4 or more years of math.
Since we know that the events of not scoring less than 600 and taking 4 or more years of math are complementary to scoring less than 600 or taking less than 4 years of math.
We can use the complement rule to calculate P(not L and not M):
P(not L and not M) = 1 - P(L or M)
= 1 - (P(L) + P(M) - P(L and M))
= 1 - (0.35 + 0.25 - P(L and M))
= 0.4 - P(L and M)
Now we need to find P(L and M) to calculate P(not L and not M). We are not given this probability directly, so we cannot use the product rule.
However, we know that the number of students who scored less than 600 and took less than 4 years of math is 80, and the total number of students is 400. Therefore, we can use the formula:
P(L and M) = number of students who scored less than 600 and took less than 4 years of math / total number of students
= 80 / 400
= 0.2
Substituting this value in the formula for P(not L and not M), we get:
P(not L and not M) = 0.4 - P(L and M)
= 0.4 - 0.2
= 0.2
Therefore, the probability that a student scored less than 600 or took less than 4 years of math is:
P(L or M) = 1 - P(not L and not M)
= 1 - 0.2
= 0.8
So the probability that a student scored less than 600 or took less than 4 years of math is 0.8.
Learn more about probability
brainly.com/question/29381779
#SPJ11
Which two angles are complementary?
Angle A and Angle D
Angle C and Angle E
Angle B and Angle C
Angle A and Angle C
The angles A and C are complementary angles.
How to determine a pair of complementary angles
In this problem we find six possible angles, from which we must determine two angles that are complementary angles. Two angles are complementary when the total measure is equal to 90°. The algebraic formula representing the situation is shown below:
α + β = 90°
Where α, β are angles.
If we know that α = 61° and β = 29°, then the result is:
m = α + β
m = 61° + 29°
m = 90°
To learn more on complementary angles: https://brainly.com/question/15592900
#SPJ1
Answer:
A and C
Step-by-step explanation:
a complementary angle is when 2 angles add up to 90 degrees
As for A and C, A’s degree is 29 when C’s 61
29+61 is 90
The IV in this experiment (Gender and GSR) is a(n) ____________ variable.
a. dummy
b. classification
c. treatment
d. extraneous
The correct option is: c. treatment
Why Gender and GSR is treatment variable?The IV (Independent Variable) in an experiment refers to the variable that is systematically manipulated or varied by the researcher to observe its effect on the dependent variable.
In the given experiment, the IVs are "Gender" and "GSR" (Galvanic Skin Response), indicating that these variables are systematically manipulated or varied to observe their effect on the dependent variable.
Therefore, "Gender" and "GSR" are not dummy, extraneous, or classification variables.
They can be considered as treatment variables as they are manipulated to observe their effect on the dependent variable.
Learn more about GSR
brainly.com/question/9362042
#SPJ11
are these correct?
if you cant see my answers :
1 ) 65 •
2 ) 120•
3 ) 60•
4 ) 40 •
5 ) 135•
6 ) 165•
7 ) 85 •
8 ) 145•
thanks! have a good day
Answer:
Step-by-step explanation:
I thing number 5 the answer is 125 degrees
Answer:
yes
Step-by-step explanation:
cause as i see u if it is acute angle it must be <90
and for obtuse angle the angle is 90<x<180 ( between 90 and 180)
Assuming that a 280-foot tall giant redwood grows vertically, if I walk a certain distance from the tree and measure the angle of elevation to the top of the tree to be 60°, how far from the base of the tree am I? (Round your answer to four decimal places. )
You are approximately 161.5566 feet away from the base of the tree.
To determine the distance from the base of the tree, we can use trigonometry and the concept of tangent.
Let's denote the distance from the base of the tree as "x."
We have a right triangle formed by the tree, the distance from the base, and the angle of elevation. The opposite side of the triangle is the height of the tree, which is 280 feet, and the adjacent side is the distance from the base, denoted as "x."
Using the tangent function, we have:
tan(60°) = opposite/adjacent
tan(60°) = 280/x
To solve for x, we can rearrange the equation:
x = 280 / tan(60°)
Using a calculator, we can evaluate the expression:
x ≈ 280 / 1.7321 ≈ 161.5566
Know more about trigonometry here:
https://brainly.com/question/31896723
#SPJ11
FILL IN THE BLANK. "Test Yourself
If a and b are positive integers and a | b, then ________ is less than or equal to _______."
If a and b are positive integers and a | b, then a is less than or equal to b.
The notation a | b means that a is a divisor of b, or in other words, b is a multiple of a. Since a is a positive integer and a is a factor of b, it follows that a must be less than or equal to b. This is because b is composed of a and some multiple of a, and so it must be greater than or equal to a.
For example, if a = 3 and b = 15, we know that 3 | 15 since 15 is a multiple of 3. In this case, a is equal to 3 and b is equal to 15, and we can see that a is less than b.
This property is important in number theory and is often used in proofs involving divisibility and prime numbers.
To know more about integers refer to-
https://brainly.com/question/15276410
#SPJ11
FILL IN THE BLANK. "Test Yourself
The transitivity of divisibility theorem says that for all integers a, b, and c, if ___________ then ____________ ."
The transitivity of divisibility theorem says that for all integers a, b, and c, if a divides b and b divides c, then a divides c. In other words, if a is a factor of b and b is a factor of c, then a is also a factor of c.
This theorem can be written as follows: If a | b and b | c, then a | c. For example, if a = 2, b = 6, and c = 12, we know that 2 | 6 and 6 | 12, so by the transitivity of divisibility theorem, we can conclude that 2 | 12.
The transitivity of divisibility is an important property of integers and is often used in number theory and other mathematical areas. It allows us to make inferences about the factors of numbers and the properties of divisibility, and is a useful tool in proofs involving divisibility and prime numbers.
To know more about integer refer to-
https://brainly.com/question/15276410
#SPJ11
The winning horse in a recent race covered the 5.50 furlong distance in 22.37 seconds. Using the equivalence
statements below, as well as any other conversion factors that you know, respond to the prompt below.
1 mi-8 furlongs- 5,280 ft
1 m-39.37 in
1 in-2.54 cm
hr
Calculate the horse's average speed for the race in units of kilometers per hour ().
*Round your answer to the correct number of significant figures.
The horse's average speed for the race in units of kilometers per hour will be 178.06.
The winning horse in a recent race covered the 5.50-furlong distance in 22.37 seconds.
The distance covered by the particle or the body in an hour is called the average speed. It is a scalar quantity. It is the ratio of the total distance to the total time.
We know that the average speed formula is given as,
Average speed = Total distance / Total time
The conversion is given as,
1 furlong = 0.201168 km
5.50-furlong = 0.201168 x 5.5 km
5.50-furlong = 1.10642 km
1 second = 1/3600 hour
22.37 seconds = 22.37/3600 hour
22.37 seconds = 0.0062 hour
The average speed is calculated as,
Average speed = 1.10642 / 0.0062
Average speed = 178.06 km per hour
The horse's average speed for the race in units of kilometers per hour will be 178.06.
More about the average speed link is given below.
https://brainly.com/question/12322912
#SPJ1
the area of a rectangle is 16/1-3 sq inches.The width is 4 2/3 in.Find the length
If the area of a rectangle is[tex]16\frac{1}{3}[/tex], the width is [tex]4\frac{2}{3}[/tex] in then length of rectangle is 49/14 inches.
Area of rectangle is length time width
Area = Length ×width
[tex]16\frac{1}{3}[/tex]=Length × [tex]4\frac{2}{3}[/tex]
Convert mixed fractions to improper
49/3 = Length × 14/3
Divide both sides by 14/3
length=49/3×3/14
Length=49/14
To learn more on Rectangle click:
https://brainly.com/question/20693059
#SPJ1
Subtract 3/16 minus 3/9
Answer: 3/16 - 3/9 = -7/48
Step-by-step:
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(3/16, 3/9) = 144
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(3/16×9/9)−(3/9×16/16)=?
Complete the multiplication and the equation becomes
27/144−48/144=?
The two fractions now have like denominators so you can subtract the numerators.
Then:
27−48=−21
144=144
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 21 and 144 using
GCF(21,144) = 3
−21÷3=-7
144÷3=48
Therefore:
3/16−3/9=−7/48
What are the zeros of the polynomial function?
f(x)=x2−16x+48
Enter your answers in the boxes.
The zeros of f(x) are( ) and ( ).
The zeros of function f(x) are 8 and 6.
We have,
To find the zeros of the polynomial function f(x),
We need to solve for x in the equation f(x) = 0.
So,
f(x) = x² - 16x + 48
Setting f(x) = 0, we have:
x² - 16x + 48 = 0
We can factor this quadratic equation as:
(x - 8)(x - 6) = 0
Using the zero product property, we have:
x - 8 = 0 or x - 6 = 0
Solving for x.
x = 8 or x = 6
Therefore,
The zeros of function f(x) are 8 and 6.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ1
Julia observa en una tienda comercial los precios de una lavadora y las promociones que ofrecen. Las promociones indican descuentos por campaña del 10% y por el día de la madre un descuento adicional del 12%. Si julia compra la lavadora que cuesta 1200 soles haciendo uso de los descuentos ¿ cuanto pagara por todo ??
Por lo tanto, si Julia compra la lavadora haciendo uso de los descuentos, pagaría 950.4 soles por todo.
Si la lavadora cuesta 1200 soles y se ofrece un descuento del 10% por campaña, entonces el precio de la lavadora después del primer descuento sería:
Precio después del primer descuento = 1200 - (10% * 1200) = 1200 - 120 = 1080 soles
Luego, si se ofrece un descuento adicional del 12% por el día de la madre, entonces el precio de la lavadora después de ambos descuentos sería:
Precio después de ambos descuentos = 1080 - (12% * 1080) = 1080 - 129.6 = 950.4 soles
Por lo tanto, si Julia compra la lavadora haciendo uso de los descuentos, pagaría 950.4 soles por todo.
Learn more about lavadora here
https://brainly.com/question/8790550
#SPJ11
Solve the following inequality for v. Write your answer in simplest form.
The value of v in the given inequality 9v - 8 ≥ 8v + 2 is v≥10.
The given inequality is 9v - 8 ≥ 8v + 2
Now, we have to solve the value for v in the above inequality.
9v - 8 ≥ 8v + 2
Now, we subtract 8v on both sides.
9v - 8 - 8v ≥ 8v + 2 - 8v.
v - 8 ≥ 2.
Now, we add 8 on both sides
v - 8 + 8 ≥ 2 + 8
v ≥ 10.
Therefore, the value for v is v ≥ 10, which means all the values greater than 10 satisfy the given inequality.
To know more about Inequalities, click on:https://brainly.com/question/29004091
A generic square slab used to make outdoor patios has an area of 144
square inches.
The owner of the house, Jacobie, wants to put a larger tile than the
standard size on his patio to change the look. The new tile he found is
a square with an area of 225 square inches.
What is the length of the side of the new size square slab?
How does this larger tile compare to the current tile used in the
patio?
Subtract 1/8 minus 3/4
Answer: 5/8
Step-by-step explanation:
The drama club is showing a video of their recent play.The first showing will begin at 4:00pm.The second showing was scheduled to start at 6:05pm with a 1/2hour break between the showings.How long is the video in hours and minutes?
The length of one drama is 47.4 minutes.
Given that a drama club is showing two videos from 4:00pm to 6:05pm having a 1/2 hours of break in between two of them,
We need to find the length of the dramas,
So,
Total time = 4:00 to 6:05 = 2 hours and 5 minutes.
Subtracting the break length = 2.083 hours - 0.5 hours = 1.58 hours.
Now the length of one drama = 1.58/2 = 0.79 hours.
= 47.4 minutes
Hence the length of one drama is 47.4 minutes.
Learn more about unit conversions, click;
https://brainly.com/question/19420601
#SPJ1
3). Joshua is playing a video game. The more time Joshua spends on the game, the more levels of the
game he passes. Which of these is the independent variable in this situation?
A. The levels Joshua passes
B. The time Joshua plays
C. The number of levels the game has
D. The number of points he scores
The time Joshua plays the video game is the independent variable. Option B
What is an independent variable?In scientific research, an independent variable is a variable that is manipulated or controlled by the experimenter. It is also known as the predictor variable because it is used to predict changes in the dependent variable.
In the given scenario, the level of the game passed by Joshua is dependent on the time he spends playing the game. The more time he spends playing the game, the more levels he is likely to pass.
Therefore, the time spent playing the game is the independent variable as it is being manipulated and is expected to cause a change in the dependent variable.
The other options such as the number of levels the game has or the points scored by Joshua are not being manipulated in the scenario and do not have a direct effect on the number of levels passed.
More on independent variables can be found here: https://brainly.com/question/29430246
#SPJ1
Suppose an office manager hopes to establish that a new electronic reporting system decreases the time employees spend filling out travel forms. If they spent an average of 20 minutes filling out travel forms in the past, what hypotheses should the manager test?
The hypotheses that the office manager should test to establish that the new electronic reporting system decreases the time employees spend filling out travel forms are:
Null hypothesis: The average time employees spend filling out travel forms with the new electronic reporting system is equal to or greater than 20 minutes (no significant difference).
Alternative hypothesis: The average time employees spend filling out travel forms with the new electronic reporting system is less than 20 minutes (a significant decrease).
What hypotheses to test to determine if a new electronic reporting system reduces the time employees spend filling out travel forms if they previously spent an average of 20 minutes? The office manager can collect a sample of data on the time it takes employees to fill out travel forms using the new electronic reporting system and calculate the sample mean. They can then use a one-sample t-test to determine if the sample mean is significantly different from 20 minutes at a certain level of significance (usually 5%). If the p-value (the probability of obtaining a result as extreme or more extreme than the observed result if the null hypothesis were true) is less than the level of significance, the null hypothesis can be rejected in favor of the alternative hypothesis, indicating that the new electronic reporting system has significantly decreased the time employees spend filling out travel forms.
Learn more about average
brainly.com/question/31080273
#SPJ11
Police Report Total Amount of Goods Stolen Exchange Rate Total in USD
France
2. 5 million Euro (€)
1 € = $1. 13
England
4 million Pounds Sterling (£)
1 £ = $1. 26
Math Problem #2
On your math paper, calculate the total amount of goods stolen in France and England in US dollars. Then add the total to the money stolen in Claire’s cases to find the thief’s total haul
Amount stolen in England (in US dollars) = 4 million * $1.26 = $5,040,000
We need to add the total stolen in Claire's cases to find the thief's total haul. However, the information about Claire's cases and the total stolen in those cases is not provided. Therefore, we cannot determine the thief's total haul.
To calculate the total amount of goods stolen in France and England in US dollars, we need to convert the amounts in Euro (€) and Pounds Sterling (£) to US dollars using the given exchange rates.
Given:
France: 2.5 million Euro (€), 1 € = $1.13
England: 4 million Pounds Sterling (£), 1 £ = $1.26
To find the total amount stolen in US dollars, we'll perform the following calculations:
Amount stolen in France (in US dollars) = 2.5 million € * $1.13/€
Amount stolen in England (in US dollars) = 4 million £ * $1.26/£
Let's calculate each value:
Amount stolen in France (in US dollars) = 2.5 million * $1.13 = $2,825,000
Know more about amount here;
https://brainly.com/question/13024617
#SPJ11
If c varies jointly as b and the square root of m,
and c = 168 when b = 10 and m = 36,
find c
when b = 11 and m = 196
The value of c when b = 11 and m = 196 is 954.8.
We have,
c varies jointly as b and the square root of m.
So, c = kbm
Now, put c= 168, b=10 and m= 36
168 = k (10)(36)
168 = k (360)
k = 168/360
k = 21 /45
k = 7/15
Now, we get the equation
c = 7/15 mb
Again, put b = 11 and m =196
c = 7/15 x 11 x 186
c = 14332/15
c= 954.8
Learn more about Proportional Relation here:
https://brainly.com/question/3314314
#SPJ4
The quotient of a rational number by an irrational number is _____ irrational.
Answer:
The quotient of a rational number by an irrational number is generally irrational.
4b. Jenna went on a 140-mile road trip. When it was not raining, she drove 50 miles per hour. When it was raining, she drove 40 miles per hour. The rest of her trip it did not rain. How much time did it take Jenna to drive the rest of her road trip?
The time Jenna spent driving the rest of her road trip was 2/3 hours.
Let the time Jenna spent driving at 50 mph be t1 and the time spent driving at 40 mph be t2. Also, let the distance covered while it was not raining be d.
We know that t1 + t2 = total time, and d + 2t2 + 2t1 = 140 miles.
Since we know that Jenna drove 50 mph while it was not raining, we can find the distance she covered during that time as d = 50t1.
Similarly, we know that Jenna drove 40 mph while it was raining, so the distance covered during that time can be found as 80t2, since Jenna's speed relative to the road was only 10 mph (50 mph - 40 mph).
Substituting the above values in the second equation, we get:
50t1 + 80t2 = 60
Dividing by 10, we get:
5t1 + 8t2 = 6
Multiplying the above equation by 2, we get:
10t1 + 16t2 = 12
Now, substituting t1 + t2 = total time = 140/50 + t2, we get:
10t1 + 16t2 = 14
Subtracting the above equation from the previous one, we get:
6t2 = 2
Therefore, t2 = 1/3 hours.
Thus, the time Jenna spent driving at 50 mph was t1 = 1.4 - 2t2 = 1.4 - 2/3 = 2/3 hours.
So, the time Jenna spent driving the rest of her road trip was 2/3 hours.
To know more about road trip refer to-
https://brainly.com/question/29478801
#SPJ11
How many marginal means would we have if we tested 3 levels of a factor A, 4 levels of a factor B and 2 levels of a factor C?
a. 7
b. 9
c. 24
d. 33
The number of marginal means would be 24.
How many marginal means would be obtained from testing 3 levels of factor A, 4 levels of factor B, and 2 levels of factor C?In a design that has 3 levels of factor A, 4 levels of factor B, and 2 levels of factor C, the total number of marginal means is 24.
Marginal means are the means for each factor level averaged across the other factors in the design. To calculate the number of marginal means, you simply multiply the number of levels for each factor together.
For example, in this design, there are 3 levels of factor A, 4 levels of factor B, and 2 levels of factor C, so there are 3 x 4 x 2 = 24 marginal means.
Each marginal mean represents the mean score for a particular combination of factor levels, averaged across the other factors in the design.
Learn more about Marginal means
brainly.com/question/31830236
#SPJ11
Find the mean of the following data: 23 . 4 , 35 . 6 , 73 . 1 , 58 . 0 , 18 . 723.4,35.6,73.1,58.0,18.7 , 33 . 8,33.8 round the answer to the nearest hundredth.
The mean of the given data set is 98.70
To find the mean of the given data set, we need to sum up all the values and then divide the sum by the total number of values.
Sum of the values = 23.4 + 35.6 + 73.1 + 58.0 + 18 + 723.4 + 35.6 + 73.1 + 58.0 + 18.7 + 33.8 + 33.8 = 1184.5
Total number of values = 12
Mean = Sum of values / Total number of values = 1184.5 / 12 =98.708
To round the answer to the nearest hundredth, we look at the digit in the third decimal place, which is 3. Since this digit is less than 5, we round down the second decimal place, giving us the final answer of:
Rounding to the nearest hundredth, we get the mean as 98.708
Therefore, the mean of the given data set is 98.70
Know more about mean here:
https://brainly.com/question/1136789
#SPJ11
Assume the length of female humpback whales can be modeled with a normal distribution with a mean of 13.7 meters and a standard deviation of 0.5 meters. 65% of female humpback whales are shorter than what length?
65% of female humpback whales are shorter than 14.1565 meters.
Given that, a normal distribution with a mean of 13.7 meters and a standard deviation of 0.5 meters.
We know that, Z=(x-μ)/σ
Z=standard score, x=observed value, μ=mean of the sample and σ=standard deviation of the sample
The z-score for the 65th percentile is 0.8416
Here, where x = the 65th percentile, μ = the mean value, and σ = the standard deviation.
So, we can rearrange the formula as follows:
x = z × σ + μ
Substituting the values:
x = 0.8413 × 0.5 + 13.7
x = 14.1565 meters
Therefore, 65% of female humpback whales are shorter than 14.1565 meters.
Learn more about the standard deviation visit:
brainly.com/question/13905583.
#SPJ4
Hey Chef makes 80 ounces of tomato sauce. He uses 2/5 of the tomato sauce for a pasta dish. Does Chef divide the rest of the sauce into six jars. How much sauce is in each jar?
Each jar contains 8 ounces of tomato sauce. The total amount of tomato sauce used by Chef for the pasta dish is 32 ounces.
The total amount of tomato sauce used by Chef for the pasta dish is 32 ounces. Chef then divides the remaining 48 ounces of tomato sauce into six jars, resulting in 8 ounces of sauce in each jar.
To calculate the amount of tomato sauce used by Chef for the pasta dish, we first need to find 2/5 of 80 ounces, which is (2/5) x 80 = 32 ounces. Therefore, Chef uses 32 ounces of tomato sauce for the pasta dish.
After using 32 ounces of tomato sauce for the pasta dish, Chef is left with 80 - 32 = 48 ounces of tomato sauce. To divide this into six jars, we simply divide 48 by 6, which gives us 8 ounces of tomato sauce in each jar.
Therefore, each jar contains 8 ounces of tomato sauce.
Learn more about total amount here
https://brainly.com/question/30981528
#SPJ11
Pythagorean Theorem and its converse
A mouse has made holes in opposite corners of a rectangular kitchen. Starting from its hole in the northwest corner, the mouse scurries 2.2 meters along the length of the kitchen to reach a piece of cheese in the southwest corner. Then the mouse scurries 3.6 meters along the width of the kitchen to its other hole in the southeast corner. Finally the mouse scurries back to the first hole. What is the total distance the mouse scurries? If necessary, round to the nearest tenth.
Please Help
The total distance the mouse scurries is 10 meters
How to determine the valueTo determine the value, we need to note that the Pythagorean theorem states that the square of the longest side of a triangle called the hypotenuse is equal to the sum of the squares of the other two sides.
This is represented as;
x² = y² + z²
Such that the parameters are;
x is the hypotenusey is the oppositez is the adjacent sideFrom the information given, we have that;
x² = 2.2² + 3.6²
find the squares
x² = 4. 84 + 12. 96
add the values
x² = 17. 8
x= 4. 22 meters
The total distance = 2.2 + 3.6 + 4.2
Add the values
= 10 meters
Learn about Pythagorean theorem at: https://brainly.com/question/654982
#SPJ1
The __________forecasting model uses nonlinear optimization to forecast the adoption of innovative and new technologies in the marketplace.
The Bass diffusion model is a forecasting model that uses nonlinear optimization to predict the adoption of innovative and new technologies in the marketplace.
It was developed by Frank Bass in 1969 and has since become a widely used method for predicting the spread of new products in the market.
The Bass model assumes that the adoption of a new technology is driven by two factors: the innovative individuals who are the first to adopt, and the imitative individuals who adopt based on the influence of others. The model uses a combination of these two factors to predict the rate of adoption over time.
The Bass model takes into account the potential market size, the rate of innovation, and the rate of imitation. It is based on the assumption that the number of potential adopters is finite and that the rate of adoption will slow down as the market becomes saturated. The model also assumes that the rate of innovation will decrease over time as the technology becomes more established in the market.
for such more question on Bass diffusion model
https://brainly.com/question/4196367
#SPJ11
Suppose a, b, c, and d are integers and a ≠. Suppose also that x is a real number that satisfies the equation
ax + b / cx + d = 1
Must x be rational? If so, express x as a ratio of two integers.
x is rational, because it can be expressed as the ratio of two integers (d-b) and (a-c).
Let's multiply both sides of the given equation by cx+d to eliminate the denominator:
ax + b = cx + d
ax - cx = d - b
x(a-c) = d - b
x = (d - b)/(a - c)
Since a, b, c, and d are integers and a ≠ c, (a-c) is also an integer. Therefore, x is rational, because it can be expressed as the ratio of two integers (d-b) and (a-c).
Note that this is a special case of the more general result that if p(x) and q(x) are polynomials with integer coefficients and q(x) ≠ 0 for some real number x, and if p(x)/q(x) is an integer, then p(x) is divisible by q(x).
In this case, q(x) = cx + d, which is nonzero because a ≠ c, and p(x) = ax + b - (cx + d) = (a-c)x + (b-d). Since p(x) is an integer and q(x) is an integer except possibly at x = -d/c, it follows that p(x) must be divisible by q(x), and hence x = (d-b)/(a-c) is rational.
To know more about rational number refer to-
https://brainly.com/question/24540810
#SPJ11
