For all the dogs: you have 2.65+2.46+3.67+2.91 = 11.69%
Now, the probability of getting a chihuahua would be 3.44/11.69=0.2942= 24.92
Step-by-step explanation:
there ya go!!
Answer:
The probability that a randomly selected orphan pet in an animal shelter in Austin is a dog is 11.71% .
The probability that a randomly selected orphaned dog in the same animal shelter in Austin is a Chihuahua is 29.37% .
Step-by-step explanation:
2.76% + 2.86% + 3.44% + 2.65% = 11.71%
11.71 / 3.44 = .2937
.2937 = 29.37%
explain the process you would use to write an equation of a line when given two points of a line.
Simplify and rearrange the equation, if necessary, to get the desired form (such as slope-intercept form y = mx + b or standard form Ax + By = C).
By following this process, you will be able to write an equation of a line when given two points of a line.
Identify the two points, let's call them (x1, y1) and (x2, y2).
Calculate the slope (m) using the formula: m = (y2 - y1) / (x2 - x1).
Choose one of the points, say (x1, y1), to use in the point-slope formula: y - y1 = m(x - x1).
Replace the values of x1, y1, and m in the formula from step 3.
Simplify and rearrange the equation, if necessary, to get the desired form (such as slope-intercept form y = mx + b or standard form Ax + By = C).
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a group of 200 students is identified. half took latin in high school, and half did not. the students are compared to see if the students who took latin received higher sat verbal scores. this type of study is a(n):
It is attempting to determine
This type of study is a(n) correlation study, because it is attempting to determine whether or not there is a relationship between two variables - whether taking Latin in high school is related to receiving higher SAT verbal scores.
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True or False: A relation passing the horizontal line test is a function.
Answer:
True.
Step-by-step explanation:
Remember that the horizontal line test checks if a function is one-to-one. If a horizontal line passes through a graph more than once, the function has more than one x-value for at least one y-value.
MULTIPLE CHOICE:
A Rhombus is labeled ABCD, which line segment could be a diagonal:
a) AB
b) BC
c) AC
d) CD
Carlos is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices
Company A has no initial fee but charges 90 cents for every mile driven
Company B charges an initial fee of $55 and an additional 00 cents for every mile driven
For what mileages will company A charge more than Company B?
Usem for the number of miles driven, and solve your inequality for m
Answer:
If it rides 5 miles it woul be 4.5 dollars but the other one would be 55$ dollars for just 5 miles.
Step-by-step explanation:
Help please!
You board a Ferris Wheel at its lowest point (20 feet off the ground) and it begins to move counterclockwise at a
constant rate. At the highest point, you are 530 feet above the ground. It takes 40 minutes for 1 full revolution.
Derive the formula for h(t) by evaluating for the A, B, C, and D transformation factors.
h(t) = D + A sin (B (t-C))
The formula for the height above the ground, h(t) is h(t) = 255 sin (π/20 t) + 20.
How to get the formulaThe amplitude is half the distance between the highest and lowest points, which is (530 - 20)/2 = 255 feet. So A = 255.
The period is 40 minutes, so B = 2π/40 = π/20.
At t = 0 (when we board the Ferris Wheel), we are 20 feet above the ground.
This means there is no phase shift, so C = 0.
The vertical shift is also 20 feet, so D = 20.
Putting it all together, we have:
h(t) = 255 sin (π/20 t) + 20
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Each of 5 boys randomly chooses a watch from 12 different styles. What is the probability that at least 2 boys choose the same type of watch?
Answer with explanation gets brainliest.
Answer:
Ok. So we have 12 different styles of watches to choose from, so that means that the total number of combinations of styles for 5 boys is 12*12*12*12*12, since each boy has his pick of 12 options.
The way to answer this question is by way of the complementary rule: We want the number of ways that the boys can all have different styles. So the first boy to pick has 12 options available to him, the second boy has 11 options available to him, the 3rd boy has 10 options available to him, so on and so forth.
So the probability that the boys all have different watches is (12*11*10*9*8)/12^5= .3819.
To find the probability that at least two boys have the same style would just be 1 -.3819 = 6181
Please help me solve this for brainliest!!
Answer choices :
2.1 cm
5.46 cm
4 cm
8 cm
Answer:
=5.2/1.3
=4
16/4
=4
Step-by-step explanation:
first find the ratio of 5.2 to 1.3 by dividing the 2 numbers. That gave me 4 since you want EF I just did 16 divided by 4 which gave me 4.
EF=4
Helpppp pleaseeee helppppp
Answer:
2x-1=x+7
-x -x
2x-1=7
+1 +1
2x=7
/2 /2
x=3.5
Step-by-step explanation:
Renee bought a magazine subscription for a year. She paid $27. Renee wanted to find the price, p, of the subscription each month. She created the model shown to help find this price.
Which exponential function models how much a $52,500 car depreciates at 9%
each year, where y is the car value and x is the number of years? (^ means
exponent)
Answer:
y = 52500(.91)^x
Step-by-step explanation:
Exponential functions are written y = ab^x where a is the starting point and b is the common ratio. We know the initial worth is 52500 and each year the worth decreases 9% of the original year, making it work 91% of the previous value.
Understanding the ConceptsIn Exercises 7 and 8, fill in each blank with the appropriate word or phrase.7. To perform a t-test when the sample size is small, the sample must show no evidence of strong and must contain no .
Answer:
7. To perform a t-test when the sample size is small, the sample must show no evidence of strong skewness and must contain no outliers.
Step-by-step explanation:
These are the two conditions required for performing a t test
- Sample Size: A small sample size can reduce the statistical power of a t-test, making it more challenging to detect significant differences between groups. Generally, a larger sample size is desirable to obtain more reliable and representative results.
- Skewness: Skewness refers to the asymmetry of the distribution of data. In a t-test, assuming normality of the data is important for accurate results. If the data exhibits strong skewness, the assumption of normality may be violated. In such cases, alternative non-parametric tests or transformations of the data may be more appropriate.
- Outliers: Outliers are extreme values that significantly differ from the rest of the data. They can have a disproportionate impact on the results of a t-test, particularly when the sample size is small. Outliers can distort the mean and affect the assumptions of normality and homogeneity of variance.
While the presence of skewness or outliers does not prohibit the use of a t-test with a small sample size, it is important to interpret the results with caution and consider alternative approaches if necessary. Robust statistical methods, such as non-parametric tests or bootstrapping, can be useful when dealing with non-normal or outlier-prone data, especially with small sample sizes. Additionally, visual inspection of the data distribution, such as through histograms or box plots, can help identify potential skewness or outliers.
The numbers 1 through 9 are arranged in a circle. Can you divide the numbers into three groups- not changing the orders-so that the sum of the numbers in each group is the same
The numbers 1 through 9 can be divided into three groups, {1, 5, 9}, {3, 4, 8}, and {2, 6, 7}, where the sum of the numbers in each group is 15.
Here is one way to divide the numbers 1 through 9 into three groups so that the sum of the numbers in each group is the same:
Group 1: 1, 5, 9
Group 2: 3, 4, 8
Group 3: 2, 6, 7
The sum of the numbers in each group is 15. This can be verified by adding the numbers in each group together.
Group 1: 1 + 5 + 9 = 15
Group 2: 3 + 4 + 8 = 15
Group 3: 2 + 6 + 7 = 15
This is just one possible way to divide the numbers 1 through 9 into three groups so that the sum of the numbers in each group is the same. There are many other possible ways to do this.
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Part 1: - What is the end-of-year wealth if Jane Christine receives a stated annual interest rate of 24% compounded monthly on a $1 investment? - Harry DeAngelo is investing $5,000 at a nominal interest rate of 12%, compounded quarterly, for five years. What is his wealth at the end of five years? - Linda Defond invested $1,000 at a continuously compounded rate of 10% for two year. What is the value of her investment at the end of two years?
Answer:
$1.27
$9030.56
$2,210.34
Step-by-step explanation:
The formula for calculating future value:
FV = P (1 + r/n)^nm
FV = Future value
P = Present value
R = interest rate
m = number of compounding
N = number of years
1. 1( 1 + 0.24 /12)^12 = $1.27
2. 5000 ( 1 + 0.12 /4)^( 5 x 4) = $9030.56
the formula for calculating future value when there is continuous compounding is : A x e^r x N
A= amount e = 2.7182818 N = number of years r = interest rate
3. 1000 x e^0.1 x 2 = $2,210.34
What does x equal in 2x-5
Answer:\(2^{x}\) = 16
Step-by-step explanation:
A jazz concert brought in $153,500 on the sale of 7,500 tickets. If the tickets sold for $15 and $25 each, how many of each type of ticket were sold?
The number of $15 tickets is
Answer:
the answr is 87 jistg ebcaujse
Step-by-step explanation:
3,500 tickets were sold for $15 each and 4,600 tickets were sold for $25 each.
Let x be the number of $15 tickets and y be the number of $25 tickets.
We know that:
x + y = 7,500 (the total number of tickets sold)
15x + 25y = 153,500 (the total amount of money made from ticket sales)
We can use the first equation to express y in terms of x:
y = 7,500 - x
We can substitute this expression of y into the second equation:
15x + 25(7,500 - x) = 153,500
Solving for x:
15x + 25(7,500) - 25x = 153,500
15x + 187500 - 25x = 153,500
-10x = -34,000
x = 3400
Therefore, 3,400 tickets were sold for $15 each and 7,500 - 3,500 = 4000 tickets were sold for $25 each.
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Yuna's favorite type of cheese crackers has 30 crackers for each serving.
Answer:
??????
Step-by-step explanation:
Answer:
nice i like crackers but 30 crackers is a bit much an average serving size should be 7.
Step-by-step explanation:
The length of a rectangle is five times its width. If the perimeter is at most 96 centimeters, what is the greatest possible value for the width?
Question 4 options:
2w + 2 • (5w) ≤ 96
2w + 2 • (5w) ≥ 96
2w + 2 • (5w) < 96
2w + 2 • (5w) > 96
Answer:
A) 2w + 2 • (5w) ≤ 96----------------------------------
Given:
Width is w,Length is l = 5w.Perimeter is:
P = 2(l + w)or
2w + 2(5w)The perimeter is at most 96 cm (not greater than):
2w + 2(5w) ≤ 96The matching choice is A.
(a) In the figure below, m PR = 44° and m ST = 52°. Find m2 PUR.
P
R
S
T
m LPUR = °
Therefore, WT > 17 and WT > 18, so the smallest possible value of WT is 18. Therefore, WT ≈ 18.
When two chords cross, where does the intersection occur—inside the circle?The product of the lengths of their crossed arcs, divided by two, determines the size of each angle formed when two secants or chords cross paths inside of a circle. An inscribed angle's measurement is equal to half of its intercepted arc's measurement.
m ZYX = m(arc WY) + m(arc ZX) = 44° + 68° = 112° since arc WY = 44° and arc ZX = 68°. (vertical angles).
The opposing angles in the cyclic quadrilateral ZTYX are additional. m ZTX = 180° - m ZYX = 180° - 112° = 68°, as a result.
As a result, m ZTX = 68°.
(2) The Pythagorean theorem can be used to determine the length of the missing side TZ because WTX is a right triangle:
WT² + TX² = TZ²
(4.8)² + (8.0)² = TZ²
23.04 + 64 = TZ²
87.04 = TZ²
TZ ≈ 9.33
Therefore, TZ ≈ 9.33.
(3) The Triangle Inequality Theorem gives us the following:
WT + TY > WY
WT + 8 > 25
WT > 17
WT + TX > WX
WT + 8 > 25
WT > 17
Consequently, WT can only have a minimum value of 18.
WT can have a minimum value of 18 since WT > 17 and WT > 18.
Therefore, WT ≈ 18.
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Question:
In the given figure, m(arcWY)=44
o
,m(arcZX)=68
then
(1) Find the measure of ∠ZTX.
(2) If WT=4.8,TX=8.0,YT=6.4, find TZ.
(3) If WX=25,YT=8,YZ=26, find WT.
Does the following graph exist?
A simple digraph with 3 vertices with in-degrees 0, 1, 2, and out-degrees 0, 1, 2 respectively?
A simple digraph (directed graph) with 3 vertices with in-degrees 1, 1, 1 and out-degrees 1, 1, 1?
No, the simple digraph with 3 vertices and in-degrees 0, 1, 2, and out-degrees 0, 1, 2 respectively does not exist, while the simple digraph with 3 vertices and in-degrees 1, 1, 1, and out-degrees 1, 1, 1 does exist.
What is digraph?
A digraph is a directed graph where each edge has a direction associated with it. In-degrees refer to the number of edges pointing into a vertex, while out-degrees refer to the number of edges pointing out of a vertex.
For the first case, having in-degrees of 0, 1, 2, and out-degrees of 0, 1, 2 for the three vertices is not possible. The sum of in-degrees must equal the sum of out-degrees in a digraph. However, in this case, the sum of in-degrees is 3 while the sum of out-degrees is 3, which does not match. Therefore, such a digraph does not exist.
For the second case, a simple digraph with in-degrees of 1, 1, 1, and out-degrees of 1, 1, 1 is possible. Each vertex has exactly one incoming edge and one outgoing edge, forming a cycle among the three vertices. This configuration satisfies the condition of a simple digraph, where each vertex has the same in-degree and out-degree.
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What is the difference between minimum and infimum?
The terms minimum and infimum are both related to the concept of lower bounds in mathematics. A minimum is the smallest value in a set of numbers, whereas an infimum is the greatest lower bound of a set.
A minimum is a value that is less than or equal to all other values in the set, while an infimum is a value that is less than or equal to all other values in the set, but not necessarily the smallest value.
For example, if we consider the set {2, 4, 6}, the minimum is 2 and the infimum is also 2. However, if we consider the set {2, 4, 6, 8}, the minimum is 2 and the infimum is 4. In the latter set, 4 is the greatest lower bound, meaning that all other values in the set are greater than or equal to 4.
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Help can somone help please.
Answer:
0.7
Step-by-step explanation:
5(9n-6)
5×9n-5×6
45n-30
45n/45 -30/45
or 45n÷45-30÷45
n= 0.6666
0.7
hope dis helps!!!!!
A special deck of cards has 12 cards. four are green, three are blue, and five are red. When a card is picked, the color of it is recorded. An experiment consists of first picking a card and then tossing a coin. A. How many elements are there in the sample space? 12 B. Let A be the event that a green card is picked first, followed by landing a tail on the coin toss. P(A) = Present your answer as a decimal number rounded to two decimal places of accuracy. C. Let C be the event that a green or red is picked, followed by landing a tail on the coin toss. Are the events A and C mutually exclusive?(Yes or No) D. Let B be the event that a blue or red is picked, followed by landing a tail on the coin toss. Are the events A and B mutually exclusive? (Yes or No)
Answer:
A. Sample space = 6
B. 0.17
C. No
D. Yes
Step-by-step explanation:
A. The sample space of an experiment is the set of all possible outcomes of that experiment.
since there are three colours and 2 outcomes for a coin toss,
sample space = 3 * 2 = 6
B. Probability of picking a green first = 4/12 = 1/3
probability of a tail = 1/2
Probability of a green and a tail, P(A) = 1/3 * 1/2 = 0.17
C. No.
Considering the two events;
A; green card is picked first
C ; a green or red card is picked
There is an intersection point for the two events. Therefore, they are not mutually exclusive.
D. Yes.
Considering the two events;
A; green card is picked first
B ; a blue or red card is picked
There is no intersection point for the two events. Therefore, they are mutually exclusive.
This year Jose watched 80 movies. He thought that 12 of them were very good of the movies he watched, what percentage did he rate as very good?
Answer:
15%
Step-by-step explanation:
Jose thought 12/80 of the movies were very good.
To find the answer, we divide using 12/80.
12 divided by 80 is 0.15 which is 15%.
How does the amount of fabric required to make the cylindrical bag compare to the amount of fabric required to make the square-based-prism bag? how much will each bag hold? based on this information, which bag style do you think the cpm sports company should make? explain your reasoning.
To find out how the amount of fabric required to make the cylindrical bag compares to the amount of fabric required to make the square-based-prism bag, we can use the formula for the surface area of each shape.
The amount of fabric required to make a bag is proportional to its surface area. Therefore, we can compare the surface areas to determine which bag will require more fabric. Let's assume the dimensions of each bag are as follows:
Cylindrical bag: height = 10 inches,
radius = 5 inches
Square-based-prism bag: height = 10 inches,
base length = 6 inches,
base width = 6 inches
Now, let's find the surface areas of each bag:
Surface area of cylindrical bag = 2πrh + 2πr²
= 2π(10)(5) + 2π(5)²
= 100π + 50π
= 150π square inches
Surface area of square-based-prism bag = 2lw + 2lh + 2wh
= 2(6)(6) + 2(6)(10) + 2(6)(10)
= 72 + 120 + 120
= 312 square inches
Therefore, the square-based-prism bag requires more fabric than the cylindrical bag.
Next, let's find out how much each bag will hold. We can use the formula for the volume of each shape to find out. The volume of each bag will give us an idea of how much they can hold.
Volume of cylindrical bag = πr²h
= π(5)²(10)
= 250π cubic inches
Volume of square-based-prism bag = lwh
= 6(6)(10)
= 360 cubic inches
Therefore, the square-based-prism bag can hold more than the cylindrical bag.
Based on this information, the cpm sports company should make the square-based-prism bag if they want to maximize the amount of items each bag can hold.
However, if the company is more concerned with using less fabric to make each bag, then they should make the cylindrical bag. The decision ultimately depends on the company's priorities and goals.
The amount of fabric required to make the cylindrical bag is less than the square-based-prism bag. However, the square-based-prism bag can hold more than the cylindrical bag.
The cpm sports company should make the square-based-prism bag if they want to maximize the amount of items each bag can hold.
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cory and quentin went bowling on friday night corey has his own bowling shoes but quentin had to rent his at the alley shoes rent for a flat fee of $4 plus $2 per hour the equation y=2x+4 describes the cost of renting the shoes if quentin only had $11 how many hours can he rent the bowling shoes.
Therefore , the solution of the given problem of equation comes out to be he can hire the shoes for three hours with his meagre $11 budget.
Equation : What is it?Complex algorithms frequently employ a variable term to guarantee congruence with the two opposing assertions. Equations, which are academic expressions, are used to demonstrate the equality of different academic figures. In this instance, the normalise method provides b + 6 rather than merely expression separating 12 into two pieces for using the data from y + 6.
Here,
To begin, we can construct an expression to symbolise the circumstance:
=> y = 2x + 4
where x represents the number of hours that Quentin rents the shoes for and y represents the overall cost of the rental.
We can put y equal to 11 because we know that Quentin only has $11 to spend:
=> 11 = 2x + 4
We can now determine x:
=> 2x = 11 - 4
=> 2x = 7
=> x = 7/2
Quentin can therefore spend $11 to hire the shoes for 3.5 hours (7/2 hours).
He would have to pay either $10 or $12 to hire the shoes for either three or four hours. He can hire the shoes for three hours with his meagre $11 budget.
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In circle with m EFG = 58 and EF = 6 units, find the length of arc EG. Round to the nearest hundredth.
The length of arc EG is approximately 7.35 units.
To find the length of arc EG, we need to use the formula:
length of arc = (central angle/360°) × 2πr
where r is the radius of the circle and the central angle is in degrees.
We are given that m∠EFG = 58°, and EF = 6 units. Since EF is a chord of the circle, we can use the chord-chord angle theorem to find that m∠EGF = ½(180° - 58°) = 61°.
Now, we can use the Law of Cosines to find the length of GE:
GE² = EF² + FG² - 2(EF)(FG)cos(∠EGF)
GE² = 6² + FG² - 2(6)(FG)cos(61°)
Since FG = 2r (because it is the diameter of the circle),
GE² = 36 + (2r)² - 12r cos(61°)
We can simplify this to:
GE² = 4r² - 12r cos(61°) + 36
GE² = 4(r² - 3r cos(61°) + 9)
Now, we can use the formula for the length of the arc:
length of arc EG = (m∠EGF/360°) × 2πr
length of arc EG = (61/360) × 2πr
length of arc EG = (61/180) × πr
Substituting the expression for GE² in terms of r, we get:
length of arc EG = (61/180) × π √[4(r² - 3r cos(61°) + 9)]
We can now use a calculator to find the approximate value of the length of arc EG.
Rounded to the nearest hundredth, the length of arc EG is approximately 7.35 units.
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Which statement is true about minus 14 and minus 8?
Answer:
minus 14 less than minus 8 because minus 14 is located to the left of minus 8 on the number line.
Step-by-step explanation: Hope this is right! and I hope it helps you UwU
Solve the matrix equation for the unknown matrix X. (If not possible, enter IMPOSSIBLE in any cell of the matrix.) A = [7 3 4 3] B = [7 2 7 2] C = [3 3 4 0 0 8] D = [10 30 30 30 30 0] 5(X - C) = D x = []
After solving the equation 5(X - C) = D , for the given matrices , we get , the unknown matrix X is = \(\left[\begin{array}{ccc}5&9\\10&6\\6&8\end{array}\right]\) .
In the question ,
it is given that , the matrices are
A = \(\left[\begin{array}{ccc}7&3\\4&3\end{array}\right]\) B = \(\left[\begin{array}{ccc}7&2\\7&2\end{array}\right]\) C = \(\left[\begin{array}{ccc}3&3\\4&0\\0&8\end{array}\right]\) and D = \(\left[\begin{array}{ccc}10&30\\30&30\\30&0\end{array}\right]\) .
and the equation is given as 5(X - C) = D ,
and we have to find the value of unknown matrix X .
let the matrix X be = \(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\)
Substituting , the given matrices A , B , C and D in the equation 5(X - C) = D ,
we get ,
5(X - C) = D ,
5X - 5C = D ,
5\(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\) - 5\(\left[\begin{array}{ccc}3&3\\4&0\\0&8\end{array}\right]\) = \(\left[\begin{array}{ccc}10&30\\30&30\\30&0\end{array}\right]\)
5\(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\) = \(\left[\begin{array}{ccc}10&30\\30&30\\30&0\end{array}\right]\) - \(\left[\begin{array}{ccc}15&15\\20&0\\0&40\end{array}\right]\)
Simplifying further ,
we get ,
5\(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\) = \(\left[\begin{array}{ccc}25&45\\50&30\\30&40\end{array}\right]\)
Dividing both sides by 5 ,
we get ,
X = \(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\) = \(\left[\begin{array}{ccc}5&9\\10&6\\6&8\end{array}\right]\)
Therefore , the matrix X is = \(\left[\begin{array}{ccc}5&9\\10&6\\6&8\end{array}\right]\) .
The given question is incomplete , the complete question is
Solve the matrix equation for the unknown matrix X.
A = \(\left[\begin{array}{ccc}7&3\\4&3\end{array}\right]\) B = \(\left[\begin{array}{ccc}7&2\\7&2\end{array}\right]\) C = \(\left[\begin{array}{ccc}3&3\\4&0\\0&8\end{array}\right]\) and D = \(\left[\begin{array}{ccc}10&30\\30&30\\30&0\end{array}\right]\) . the equation is
5(X - C) = D .
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Please Help Me I need help
In response to the stated question, we may state that therefore, the expressions value of vector will be n = 25.73.
what is expression ?An expression in mathematics is a collection of numbers, variables, and mathematical (such as addition, reduction, multiplication, division, exponentiation, etc.) that express a quantity or value. Expressions might be as basic as "3 + 4" or as complicated as "(3x2 - 2) / (x + 1)". They may also contain functions like "sin(x)" or "log(y)". Expressions can also be evaluated by substituting values for the variables and performing the mathematical operations in the order specified. If x = 2, for example, the formula "3x + 5" equals 3(2) + 5 = 11. Expressions are commonly used in mathematics to describe real-world situations, construct equations, and simplify complicated mathematical topics.
to find vector and magnitude we have
\(n^2 = (22.5)^2 + (12.5)^2\\n^2 = 506.25 + 156.25\\n^2 = 662.5\\n = \sqrt(662.5)\\n = 25.73\)
therefore, the value of vector will be n = 25.73.
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