Answer:
ok
Step-by-step explanation:
A tree is struck by lightning and snaps off 34 feet above the ground. The top part of the tree, 117 feet long, rests with the tip on the ground, while the broken end rests on the top of the stump.
What angle does the top part of the tree make with the ground?
For want of a nail, the shoe was lost,
For want of a shoe, the horse was lost,
For want of a horse, the rider was lost,
For want of a rider, the battle was lost,
For want of a battle, the kingdom was lost,
And all for the want of a horseshoe nail.
From the above poem, we can deduce that the lack of one horseshoe could be either inconsequential or it could indirectly cause the loss of a war. Some systems are quite sensitive to their starting conditions, so a small change may cause a big difference in the outcome.
Keeping the above in mind, look at the following polynomials:
⦁ y = x
⦁ y = x2
⦁ y = x3
Does a slight change in the degree of the polynomials affect their graphs? If yes, show your results graphically, taking values of x as -3, -2, -1, 0, 1, 2 and 3 in every case.
The poem For Want of a Nail is a warning about how small things can have large and unforeseen consequences. The lack of a horseshoe could lead to the loss of a horse, which could result in the loss of a rider, which could lead to the loss of a battle.
This shows that a small change can cause a big difference in the outcome. We can see a similar phenomenon in the world of mathematics, where small changes in a function can lead to significant changes in its behavior. For example, the degree of a polynomial can have a dramatic effect on its graph. Let's consider the function y = x². This is a second-degree polynomial, which means that its graph is a parabola. If we change the degree of this polynomial to 1, then we get the function y = x, which is a straight line. If we change the degree of this polynomial to 3, then we get the function y = x³, which is a cubic curve. If we graph these functions for the values of x from -3 to 3, we can see how the slight change in the degree of the polynomial affects their graphs. The graph of y = x² is a parabola that opens upward. TThe graph of y = x is a straight line that passes through the origin. The graph of y = x³ is a cubic curve that passes through the origin and has two turning points. These graphs show that a small change in the degree of the polynomial can have a significant effect on its graph.For such more question on polynomial
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i rlly need help; finding angles
Answer:
1=35 find angle 2 80+65-180=35
2= 65 vertical angles are congruent ex 115-180
3=29 ex. 90+65-180=29
4= 115 vertical angle congruent
5=65 vertical angles are congruent ex 115-180
6=65 35+80-180=65
7=144
Answer:
∠1 = 35 ; ∠2 = 65 ; ∠3 = 29 ; ∠4 = 115
∠5 = 65 ; ∠6 = 36 ; ∠7 = 144
Step-by-step explanation:
∠4 = 115 {Vertically opposite angles}
∠5 + 115 = 180 {linear pair}
∠5 = 180 - 115
∠5 = 65
∠2 = ∠5 {Vertically opposite angles}
∠2 = 65
∠1 + 80 +∠2 = 180 {Angle sum property of triangle}
∠1 + 80 + 65=180
∠1 + 145 = 180
∠1 = 180 - 145
∠1 = 35
∠5 + ∠7 + 90 + 61 = 360 {angle sum property of quadrilateral}
65 + ∠ 7 + 90 + 61 = 360
∠7 + 216 = 360
∠7 = 360 - 216
∠7 = 144
∠6 + ∠ 7 = 180 {linear pair}
∠6 + 144 = 180
∠6 = 180 - 144
∠6 = 36
∠3 + ∠4 +∠ 6 = 180 {angle sum property of triangle}
∠3 + 115 + 36 = 180
∠3 + 151 = 180
∠3 = 180 - 151
∠3 = 29
Can someone help me solve for i
9514 1404 393
Answer:
i = 6
Step-by-step explanation:
The triangle is marked as isosceles, so the sides opposite the congruent angles have the same length.
10 = 2i -2
5 = i -1 . . . . . divide by 2
6 = i . . . . . . .add 1
a family on a trip budgets $800 for meals and hotel accommodations. suppose the price of a meal is $40. in addition, suppose the family could afford a total of eight nights in a hotel if they don't buy any meals. how many meals could the family afford if they gave up two nights in the hotel? a. 2 b. 1 c. 8 d. 5\
if the family gives up two nights in the hotel, they could afford d) 5 meals
The family has a budget of $800 for meals and hotel accommodations. If they could afford eight nights in a hotel without buying any meals, we can determine the cost of one night at the hotel. To do this, we can divide the total budget by the number of nights:
$800 / 8 nights = $100 per night
Now, let's consider the scenario where the family gives up two nights in the hotel. This would free up $200 from their budget ($100 per night x 2 nights). We can then use this amount to determine how many meals the family can afford by dividing the available funds by the cost of one meal:
$200 / $40 per meal = 5 meals
Therefore, if the family gives up two nights in the hotel, they could afford 5 meals. The correct answer is d. 5.
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8.4n p when n= 2 and p = 4
A 62.0 cm long wire is vibrating in such a manner that it forms a standing wave with three antinodes. (The wire is fixed at both ends.) (a) Which harmonic does this wave represent? O first harmonic O second harmonic third harmonic O fourth harmonic O none of the above
The wave which represents this harmonic is C. third harmonic represents this wave.
The given length of wire is 62.0 cm, and it is vibrating to form a standing wave with three antinodes. The wire is fixed at both ends. Our task is to determine which harmonic this wave represents.
To find the harmonic, we can use the formula 2L = (nλ), where L represents the length of the wire, n is the number of antinodes, and λ is the wavelength of the wave.
By substituting the given values into the formula, we have:
2L = (nλ)
2 * 62.0 cm = (3 * λ)
124.0 cm = 3λ
Dividing both sides by 3, we get:
41.33 cm = λ
From this calculation, we can conclude that the wavelength of the wave is 41.33 cm.
Now, let's determine the harmonic. The harmonic number is equal to the number of antinodes, which in this case is three. Therefore, the wave represents the third harmonic.
In conclusion, the correct option is (c) third harmonic.
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A girl is 6 feet tall and casts a shadow that is 4
feet long. A building casts a shadow that is 40
feet long. How tall is the building?
Answer:
60 ft tall
Step-by-step explanation:
tall | 6 | x
shadow | 4 | 40
4 times 10 = 40
6 times 10 = 60
Answer:
60 ft tall
Step-by-step explanation:
Exam
Does the equation below represent a
direct proportion? If yes, identify
the constant of proportionality.
x = 9y
A. No
B. Yes, 1/9
D. Yes, -9
C. Yes, 3
Answer:
B. 1/9 cuz it's just saying y is 1/9 of x
PLEASE HELP ME IF POSSIBLE :)
Answer:
The scale drawing is correct for the length;
\(\overline{BC} = 5\dfrac{34}{35} \ in.\)
Step-by-step explanation:
The diagram shows the rectangular cross-section of a roof truss
The given dimension of the side \(\overline{AB}\) of the roof truss scale drawing = 9.5 in.
The actual length of the side \(\overline{AB}\) on the roof truss = 38 feet
The actual length of the side \(\overline{BC}\) on the roof truss = 22 feet
Therefore, the scale of the scale drawing is given as follows;
The scale of the drawing = (Scale dimension)/(Actual dimension)
38 feet = 9.5 inches on the drawing
∴ 1 foot = 9.5 inches/35 = 19/70 inches on the drawing
1 foot = 19/70 inches on the drawing
22 feet = (19/70 inches × 22) on the drawing = \(5\frac{34}{35}\) inches on the drawing
The length of \(\overline{BC}\) on the scale drawing = \(5\frac{34}{35}\) inches.
The perimeter of the patio shown below is 120 feet. Develop a formula to find y in terms of x. Explain your work.
Answer:
Perimeter of the given patio is \((\pi+6)y + 10x +8\).
Step-by-step explanation:
Let us first label the given patio using the points A, B, C, D, E and F as shown the attachment diagram.
Perimeter of given figure can be found by the following:
Perimeter of polygon ABPCDEQF + Perimeter of semi-circle with diameter as EF.
Let us mark points P and Q on sides AB and FA respectively.
These points P and Q are just opposite to point D. Please refer to attached diagram for details.
As this figure has symmetry so, sides
\(side\ AP =side\ FE\ i.e\ 2y\\side\ AQ =side\ BC\ i.e.\ 2y\\side\ PB =side\ CD\ i.e.\ 3x+5\\side\ QF =side\ DE\ i.e.\ 2x-1\)
Perimeter of polygon APBCDEQF = AP + PB + BC + CD + DE + FQ + QA (Side EF is not on the periphery so it is excluded)
\(\Rightarrow 2y + (3x+5) + 2y + (3x+5) + (2x - 1) + (2x-1) + 2y\\\Rightarrow 6y + 10x + 8 ...... (1)\)
Perimeter of semicircle = \(\pi \times radius\)
Radius of semicircle is y.
\(\text{Perimeter of semicircle = }\pi \times y ...... (2)\)
Adding equations (1) and (2):
\(\text{Total perimeter = }6y + 10x + 8 + \pi y \\\Rightarrow (\pi+6)y + 10x + 8\)
Perimeter of the given figure is \((\pi+6)y + 10x +8\)
Which one of the following is the open intervals on which f(x)=(4−x^2)^2 is decreasing? a) (−[infinity],0)∪(0,2) b) (−[infinity],−2)∪(0,2) c) (−2,0)∪(2,[infinity]) d) (−[infinity],0) e) (0,[infinity])
The open intervals on which \(f(x) = (4 - x^2)^2\) is decreasing are (0, 2).
Thus, the correct option is (b) (−∞,−2)∪(0,2).
To determine the open intervals on which the function \(f(x) = (4 - x^2)^2\) is decreasing, we need to find the intervals where the derivative of the function is negative.
Let's find the derivative of f(x) using the chain rule:
\(f'(x) = 2(4 - x^2)(-2x)\)
To determine where f(x) is decreasing, we need to find where f'(x) is negative.
Setting f'(x) < 0 and solving for x:
\(2(4 - x^2)(-2x) < 0\)
Simplifying the inequality:
\((4 - x^2)(-2x) < 0\)
Now, let's analyze the sign of each factor:
\((4 - x^2)\) is positive for values of x in the open intervals (-∞, -2) and (2, ∞).
(-2x) is negative for values of x in the open interval (0, ∞).
To determine the overall sign of the expression, we need an odd number of negative factors.
In this case, there is only one negative factor (-2x).
Therefore, the open intervals on which \(f(x) = (4 - x^2)^2\) is decreasing are (0, 2).
Thus, the correct option is (b) (−∞,−2)∪(0,2).
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The sum of two numbers is 85. The second number is 4 more than 2 times the first number. Let x represent the first number and let y represent the second number. What are the two numbers? Use the table to guess and check.
Numbers
x
y
x + y = 85
y = 2 x + 4
19 and 65
25 and 60
27 and 58
32 and 53
Answer:c
Step-by-step explanation: took the test
1. Simplify the expression:
4+36+(10-8)’-3+7
A. 130
B. 100
C. 38
D. 37
Answer:
The answer isn't in the options anyway I'll write it. the answer is 46.
Step-by-step explanation:
According to BODMAS rule - addition should be done first so
4+36= 40 and -3 +7 = 4 so 40+4 ,= 44
then we should do subtracting so, 10-8 = 2
to conclude we should bring the equation to an end so,
44+2 = 46
HOPE THIS HELPS YOU
Identify the boundary line for each system of inequalities
The boundary lines are y > -3x + 4: dotted line and y <= 8x + 1: solid line
How to determine the boundary linesFrom the question, we have the following parameters that can be used in our computation:
y > -3x + 4
y <= 8x + 1
The boundary line for the inequality "<" is a dotted line, which means that the endpoint is not included in the solution set.
The boundary line for the inequality ">=" is a solid line, which means that the endpoint is included in the solution set.
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6. Name the Imperial units for:
a. Length:
b. Mass:
c. Capacity:
The imperial unit of length are inches, feet, miles etc, the imperial units of mass are pounds, ounces and the imperial units of capacity are pints, quarts, gallons etc
What are imperial units?The imperial system of measurement is defined as a system of measuring quantities such as length, mass, volume, area, etc in the units that are commonly used in the UK, and other commonwealth countries. The units used in this system include inches, feet, pounds, gallons, tons, fluid ounces,
The imperial unit of length could be inches, feet, miles etc.
The imperial unit of mass is pounds, ounces
The imperial unit of capacity is pints, quarts, fluid ounces etc.
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Samples of skin experiencing desquamation are analyzed for both moisture and melanin content. The results from 100 skin samples are as follows:
melanin content
high low
moisture content high 13 12
low 45 30
Let A denote the event that a sample has low melanin content, and let B denote the event that a sample has high moisture content. Determine the following probabilities.
a. P(A)
b. P(B)
c. P(A | B)
d. P(B|A)
a. The probability of a sample having low melanin content (event A) is 0.75.
b. The probability of a sample having high moisture content (event B) is 0.25.c. The probability of a sample having low melanin content given that it has high moisture content (event A | B) is 0.48.d. The probability of a sample having high moisture content given that it has low melanin content (event B | A) is 0.4.
The probabilities, we look at the provided data. Out of the 100 skin samples, 75 samples have low melanin content (event A) and 25 samples have high moisture content (event B). The probability of event A is calculated by dividing the number of samples with low melanin content (45) by the total number of samples (100), resulting in 0.75.
Similarly, the probability of event B is calculated by dividing the number of samples with high moisture content (25) by the total number of samples (100), giving us 0.25.
The probability of event A given event B (P(A | B)), we consider the samples with high moisture content (event B), which is 25. Out of these 25 samples, 12 have low melanin content (event A). So, the probability of event A given event B is obtained by dividing 12 by 25, resulting in 0.48.
The probability of event B given event A (P(B | A)), we focus on the with low melanin content (event A), which is 75. Among these 75 samples, 30 have high moisture content (event B). Hence, the probability of event B given event A is obtained by dividing 30 by 75, resulting in 0.4.
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Functions f(x) and g(x) are shown: f(x) = x2 g(x) = x2 − 8x + 16 In which direction and by how many units should f(x) be shifted to match g(x)? Left by 4 units Right by 4 units Left by 8 units Right by 8 units
Answer:
Shift right by 4
Step-by-step explanation:
Given f(x)=x^2
g(x)= x^2-8x+16
Using
Horizontal Shift theorem dealing with the question
If the graph were to be move to to the right, we must use of graph f (x-L)
Where L= 4 and
NOTE:
POSITIVE L MAKES GRAPH SHIFT RIGHT
2) NEGATIVE MAKES GRAPH SHIFT LEFT
g(x)= x^2-8x+16
If we factorize this we have
(x-4)(x-4)
Since the two terms are the same we have (x-4)^2
Then it can move by factor of 4 to the right since constant 4 can be substracted from the parents function
Answer:
Left by 4
Step-by-step explanation:
graph x^2 and x^2 − 8x + 16 on Desmos . com
you start at f(x) and end at g(x)
The Student Council at High School A held a Student Body President election. There are 940 students in enrolled and 625 students voted for a Student Body President. Approximately what percentage of the student body voted for Student Body President?
Answer:
66.49
Step-by-step explanation:
Claire is making picnic lunches. She has 12 sandwiches, 18 apples and 30 pieces of candy. What is the greatest number of lunches she can make if she wants to have the same number of each kind of food in each lunch? *
PLEASE HELP!!
Answer:
57472
Step-by-step explanation:
Please help explain the easiest way
Answer:
60 m
Step-by-step explanation:
Triangle formula:
Please help me solve
Answer:
I could but can you please put down the problem.
Step-by-step explanation:
Barb has 500 feet of fencing material. She wants to build a fence that completely encloses her horse pen. The diameter of the pen is 150 feet. Does she have enough material?
Barb has enough material to build a fence that completely encloses her horse pen
How to determine if she has enough materialFrom the question, we have the following parameters that can be used in our computation:
Diameter, d = 150 feet
The amount of fencing is the circumference of the fence
And it is calculated as
C = πd
Substitute the known values in the above equation, so, we have the following representation
C = π * 150
Evaluate
C = 471.23
471.23 is less than 500
This means that she has enough material
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Simplify the expression by combining like terms.
22+5m-4m+7n8
Answer:
Second Option, m+7n+30
Step-by-step explanation:
First I'd combine the m terms
22+5m-4m+7n-8
5m-4m
=1m
22+1m+7n+8
Now the numbers with no variable
22+1m+7n+8
22 + 8
=30
m+7n+30 is our final answer
Answer:
7n +m +14
Step-by-step explanation:
22 +5m -4m +7n -8
=7n +5m -4m +22 -8
=7n +m +14
Given the array A = [3, 6, 2, 8, 7, 9,5, 1, 4]: 5.a Compute Partition(A, 1, 9) (Lec 4.2) manually and show the steps. 5.b What happens with our computation in 5.a if A[9] = 14? If A[9] = 0? 5.c Sort the array using Bucket Sort with min-max scaling of the values, include the steps of your computations.
The partitioning of the array A = [3, 6, 2, 8, 7, 9, 5, 1, 4] with Partition(A, 1, 9) manually results in [3, 2, 1, 4, 7, 9, 5, 8, 6].
We are given an array A containing 9 elements. We need to perform the following tasks:
5a. Compute the Partition function on A, where the function takes in the array A and two indices (1 and 9 in this case) as arguments. Partition function is a part of the Quick Sort algorithm that partitions the array into two parts based on a pivot element.
5b. We need to consider two cases where the last element of the array A, A[9], is 14 and 0 respectively, and see how it affects our computation in 5a.
5c. Finally, we need to sort array A using the Bucket Sort algorithm with min-max scaling. The bucket Sort algorithm works by dividing the range of values into a series of buckets and then distributing the elements into those buckets. Min-max scaling is a technique used to scale the values of an array between 0 and 1.
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ob Elimination In the past year, 10% of businesses have eliminated jobs. If 3 businesses are selected at random, find the probability that at least 1 has eliminated jobs during the last year. Round your answer to at least three decimal places. Do not round your intermediate calculations. Find P(at least 1 has eliminated jobs during the last year).
The probability that at least one of the three selected businesses have eliminated jobs during the last year is calculated by the complement of the probability that none of the businesses have eliminated jobs.
Let's denote the event that a business has eliminated jobs as A, and the event that a business has not eliminated jobs as A'. The probability of A is 0.1 (10%), and the probability of A' is 0.9 (90%).
To find the probability that none of the three businesses have eliminated jobs, we multiply the probabilities of A' for each business since the events are independent. So the probability of none of the businesses having eliminated jobs is \((0.9)^3 = 0.729\).
Therefore, the probability that at least one of the businesses has eliminated jobs is 1 - 0.729 = 0.271.
Hence, the probability that at least one of the three selected businesses have eliminated jobs during the last year is approximately 0.271, or 27.1% when rounded to three decimal places.
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In the formula that gives the circumference of a circle, which quantity is multiplied by 2π ?
Answer:
Radius
Step-by-step explanation:
Radius is multiplied by 2pi
The coordinates of point T are (0,5). The midpoint of is (2,-5). Find the coordinates of point S.
The coordinates of point S is (4, -15)
How to find the coordinates of point S?The given parameters are
T = (0, 5)
Midpoint = (2, -5)
The midpoint of a line is calculated using
Midpoint = 1/2 * (x1 + x2, y1 + y2)
So, we have
(2, -5) = 1/2 * (0 + x, 5 + y)
This gives
(4, -10) = (x, 5 + y)
Solve for x and y
So, we have
x = 4
5 + y = -10
This gives
x = 4
y = -15
Hence, the coordinates of point S is (4, -15)
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find the radius if the circumference is 32 inches
Answer:
5.1 inches------------------
Use circumference formula:
C = 2πrFind the radius by rearranging the formula and substituting 32 for C:
r = C/(2π)r = 32/(2*3.14)r = 5.10 inches (rounded)Answer:
5.09 in
Step-by-step explanation:
We know that the formula to find the circumference of a circle is:
C = 2πr
Here,
C → Circumference → 32 in
r → radius
Let us find the radius of the circle by substituting the given values.
\(\sf C = 2\pi r\\\\\sf 32 = 2\pi r\\\\Divide\:both\:sides\:by\:2 \pi \:and\:make\:r\:the \:subject\\\\\dfrac{32}{2 \pi} =\dfrac{2 \pi r}{2 \pi} \\\\\red{5.09 \:in=r}\)
When Piper was a puppy,
she weighed 6 pounds.
As a full-grown Great
Dane, she know weighs
154 pounds. Determine
the percent increase
in Piper's weight.