The cost of A Plus Advertising will be less than the cost of Print and More if the number of flyers to be printed and delivered is greater than 160.
Let's assume that the number of flyers to be printed and delivered is "x".
The cost of A Plus Advertising can be represented as:
Cost_A = 0.10x + 24
The cost of Print and More can be represented as:
Cost_P = 0.25x
To find out for how many flyers the cost of A Plus Advertising is less than the cost of Print and More, we need to set up an inequality:
Cost_A < Cost_P
0.10x + 24 < 0.25x
Subtracting 0.10x from both sides, we get:
24 < 0.15x
Dividing both sides by 0.15, we get:
160 < x
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The volume of a cone is 196π cubic feet. Its radius is 7 feet. Find the height
[tex]\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=196\pi \\ r=7 \end{cases}\implies 196\pi =\cfrac{\pi (7)^2 h}{3}\implies 196\pi =\cfrac{49\pi h}{3} \\\\\\ \cfrac{3}{49\pi }\cdot 196\pi =h\implies 12=h[/tex]
4. To pay for a trip to Machu Picchu in 4 years, Doug wants to deposit money into a savings account that earns2.9%annual interest compounded continuously. Doug calculates the amount he needs to deposit as shown below.A250025002012002226.19=Pe7=Petosice =Pe034=P=PSo, Doug needs to deposit$2226.19into his account.
Number of years = 4
Hi there! To answer your question, Doug needs to deposit $2226.19 into a savings account that earns 2.9% interest compounded continuously. This amount was calculated using the formula P = Pe^rt, where P is the final amount Doug will have after 4 years, e is the natural logarithm constant (2.71828), r is the interest rate (2.9%), and t is the number of years (4).
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sarah plants 760 vines in rows containing either 20 vines or 25 vines. there are 3 times as many rows containing 25 vines as there are rows containing 20 vines. how many rows contain 25 vines?
Answer:
Let's start by using variables to represent the number of rows containing 20 vines and 25 vines. Let:
x be the number of rows containing 20 vines
3x be the number of rows containing 25 vines (since there are 3 times as many rows containing 25 vines as there are rows containing 20 vines)
We know that Sarah plants a total of 760 vines, and that each row contains either 20 vines or 25 vines. Therefore, we can write an equation based on the total number of vines:
20x + 25(3x) = 760
Simplifying and solving for x:
20x + 75x = 760
95x = 760
x = 8
So there are 8 rows containing 20 vines, and 3 times as many rows containing 25 vines, or 3(8) = 24 rows containing 25 vines.
Therefore, Sarah planted 8 rows with 20 vines and 24 rows with 25 vines.
Select the correct answer.
What is the inverse of function f?
f (x) = X+7
Step-by-step explanation:
Inverse of a Function.
To find the inverse of the function f(x) = √(x+7), we need to interchange the roles of x and y and solve for y.
Let y = f(x) = √(x+7)
To find the inverse, we need to solve for x in terms of y.
Step 1: Square both sides of the equation to eliminate the square root:
y^2 = x + 7
Step 2: Solve for x:
x = y^2 - 7
So the inverse of the function f(x) is:
f^(-1)(y) = y^2 - 7
We can also express the inverse in terms of x:
f^(-1)(x) = x^2 - 7
Note that we changed the variable from x to y, and from y to x, when expressing the inverse function.
Did I get these Zeros right while factoring?
Answer:
You forgot the +- part when taking the square roots
Step-by-step explanation:
5 x^2 = -2
x^2 = -2/5
x = +- sqrt ( -2/5) <==== note sqrt(-2/5) NOT sqrt (-2) / 5
x = ± i sqrt(2/5)
x^2 = 8
x = ±sqrt 8
x = ±2 sqrt (2)
Please do the follo When the fraction rewrite it as a mixe integer. 0.6-:2(2)/(11)
The mixed integer would be 2 3/4.
A mixed integer is a number that includes both a whole number and a fraction. For example, 2 1/2 is a mixed integer because it includes the whole number 2 and the fraction 1/2.
To rewrite a fraction as a mixed integer, you need to divide the numerator (the top number) by the denominator (the bottom number) and find the quotient and remainder. The quotient will be the whole number part of the mixed integer and the remainder will be the numerator of the fraction part. The denominator will stay the same.
For example, if you have the fraction 11/4, you can divide 11 by 4 to get a quotient of 2 and a remainder of 3. So the mixed integer would be 2 3/4.
Here are the steps to rewrite a fraction as a mixed integer:
1. Divide the numerator by the denominator.
2. Write the quotient as the whole number part of the mixed integer.
3. Write the remainder as the numerator of the fraction part of the mixed integer.
4. Keep the denominator the same.
5. Simplify the fraction if necessary.
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Jackson made a mistake when solving the inequality
The step that Jackson made an error when solving the inequality was Step 1 because he did not multiply - 10 by 4.
How to describe the error ?When solving the inequality, Jackson had the right idea of multiplying the different sides of the equation by 4 in order to get rid of 4 as a denominator.
However, he was to multiply every figure in the equation by 4. He did not do this with the - 10 on the left side of the equation. This meant that Jackson did not convert that number to - 40 which then led to an incorrect inequality.
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What are the coordinates for the graph and what do I need to do?
not completely sure but i think you times the x and y numbers then draw a graph of the units
MODELING REAL LIFE You measure your distance from the base of the Citrus Tower and the angle of elevation from the ground to the top of the tower. Find the height $h$h of the Citrus Tower to the nearest hundredth.
A tower with height labeled h. The tower is the height of a right triangle with base of length 120 feet. The base angle of the right triangle is labeled 62 degrees.
Height: feet
Check the picture below.
[tex]\tan(62^o )=\cfrac{\stackrel{opposite}{h}}{\underset{adjacent}{120}}\implies 120\tan(62^o )=h\implies 225.69\approx h[/tex]
Make sure your calculator is in Degree mode.
The height of the tower is 226 feet.
What is Trigonometry?One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.
We have,
A tower with height labeled h.
The tower is the height of a right triangle with base of length 120 feet.
Now using Trigonometry
tan 62 = P / B
tan 62 = h / 120
h = 120 tan 62
h = 225.69
h = 226 feet
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The U.S. Federal Reserve System publishes data on family income based on its Survey of Consumer Finances. When the head of the household has a university degree, the mean pre-tax family income is $ 85,700. Suppose that 70% of the pre-tax family incomes when the head of the household has a university degree are between $76,300 and $95,100 and that these incomes are normally distributed. What is the standard deviation of pre-tax family incomes when the head of the household has a university degree?
According to the question the standard deviation is approximately $9,400.
What is standard deviation?Standard deviation is a measure of variability or dispersion in a data set. It is a measure of how much the individual data points within a set deviate from the mean. The standard deviation is calculated by taking the square root of the variance and is expressed as the same unit of measurement as the data set.
The standard deviation of pre-tax family incomes when the head of the household has a university degree can be computed using the empirical rule. According to the empirical rule, approximately 68% of the data lies within one standard deviation of the mean, 95% of the data lies within two standard deviations of the mean, and 99.7% of the data lies within three standard deviations of the mean.
Given that 70% of the pre-tax family incomes when the head of the household has a university degree are between $76,300 and $95,100,
we can calculate that the standard deviation is approximately ($95,100 - $76,300) / 2.66 ≈ $9,400.
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If someone could help me out on this!
The following are solutions to the given problems given f(x)=x²- 5x+7 and g(x)=3x² + 4x - 2;
(f- g)(x) = -2x² - 9x + 9
(g-f)(x) = 2x² + 9x - 9
(f + g)(x) = 4 x² - x + 5
What is a function?A function can be defined as a relation between a set of inputs having one output each. In other words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and co-domain (range). A function is generally denoted by f(x) where x is the input.
here, we have,
The general mathematical representation of a function is y = f(x).
f(x)=x²- 5x+7
g(x)=3x² + 4x - 2
so, we get,
(f- g)(x) = x²- 5x+7 - (3x² + 4x - 2)
(f- g)(x) = x²- 5x+7 - 3x² - 4x + 2
(f- g)(x) = -2x² - 9x + 9
(g-f)(x) = 3x² + 4x - 2 - (x²- 5x+7)
(g-f)(x) = 3x² + 4x - 2 - x² + 5x - 7
(g-f)(x) = 2x² + 9x - 9
(f + g)(x) = x²- 5x+7 + 3x² + 4x - 2
(f + g)(x) = 4 x² - x + 5
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You are going to paint one side of a building. The wall is 105 feet long and 35 feet high. One gallon of paint covers 317 square feet with a single coat of paint. Find how many gallons should be purchased to apply one coat of paint to the side of the building.
Amount of paint that should be purchased to apply one coat of paint to the side of the building is 12 gallons.
What is area?Area is the amount of space occupied by a two-dimensional shape. That is, it is a quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is the square unit, commonly expressed in square inches, square feet, and so on.
Given,
length of the wall = 105 feet
height of the wall = 35 feet
Area of the wall
= length × height
= 105 × 35
= 3675 square feet
One gallon paints 317 square feet
Number of gallons to paint 3675 square feet
= 3675/317
= 11.59 ≈ 12
Hence, 12 gallons should be purchased to apply one coat of paint to the side of building.
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vocabalary Is the
expression 3x + 2x - 4 in
simplest form? Explain.
The terms 3x and 2x are
terms and
<>
in simplest form.
長
be combined. Therefore, the expression
The expression in simplest form is.
Answer:
Step-by-step explanation:
This expression isn't in simplest form. The terms 3x and 2x can be added, since they are like terms.
In simplest form, this expression would be 5x - 4.
Hope this helps!
For each of the following shape sequences:
i) draw a sequence table for the first six patterns, taking care to use the correct letter for the pattern number and the correct letter for the number of shapes
ii) find a formula for the number of shapes used in terms of the pattern number
iii) use your formula to find the number of shapes used in the 300th pattern.
Number of matches
n=1 n=2 n=3
m-4 m=7 m-10
Answer:
Step-by-step explanation:
It seems like the problem is asking about a sequence of shapes rather than a sequence of matches, so I will assume that the correct information for the problem is:
Number of shapes:
n=1 n=2 n=3
m-4 m=7 m+2
i) Sequence table for the first six patterns:
Pattern number Number of shapes
1 m-4
2 m
3 m+2
4 m+6
5 m+10
6 m+14
ii) Formula for the number of shapes in terms of the pattern number:
From the table, we can see that the number of shapes used in each pattern is increasing by a constant amount of 4. Therefore, we can write the formula as:
Number of shapes = (pattern number - 1) * 4 + m
where m is the number of shapes in the first pattern.
iii) Number of shapes used in the 300th pattern:
To find the number of shapes used in the 300th pattern, we can use the formula and substitute pattern number = 300:
Number of shapes = (300 - 1) * 4 + m
Since we don't know the value of m, we can't determine the exact number of shapes. However, we do know that the number of shapes in the first pattern is either m-4, m, or m+2, depending on the value of m. If we assume the smallest possible value of m, which is 1 (since the number of shapes can't be negative), then the number of shapes in the 300th pattern would be:
Number of shapes = (300 - 1) * 4 + 1-4 = 1195
Therefore, if m = 1, then the number of shapes used in the 300th pattern is 1195. However, if m is greater than 1, then the number of shapes in the 300th pattern would be higher.
Answer:
every other 3
Step-by-step explanation:
Let N,p∈N, labeled data points (x1,y1),…,(xN,yN)∈Rp×{−1,1} and penalty parameter C∈R>0. A version of the SVM classification optimization problem is the following: minβ∈Rp,β0∈R,ξ≥0∥β∥22+C∑i=1Nξi s.t. ξi≥1−yi(xiTβ+β0). We denote β^,β^0,ξ^ as an optimal solution of the optimization problem. In general, it holds that... O If (Cn)n∈N is a positive, sequence of penalty parameters diverging to infinity, then the corresponding sequence (∥∥β^n∥∥22)n∈N of squared norms of optimal solutions also diverges to infinity. O Assume that for i,iˉ∈{1,…,N} it holds that yi=1 and yi~=−1. If we switch the labels, i.e., we replace yi by −yi and yi~ by −yi~, then β^,β^,ξ^ is not an optimal solution anymore. O If yi=1 for all i=1,…,N, then β^=0p. O If all features are scaled by the same factor λ∈R>0, i.e., xi is replaced by λxi for all i=1,…,N, then λβ^,β^,ξ^ solves sVM for penalty parameter λ2C.
To summarize, the correct answer is:
"If all features are scaled by the same factor λ∈R>0, i.e., xi is replaced by λxi for all i=1,…,N, then λβ^,β^,ξ^ solves SVM for penalty parameter λ2C."
The correct answer is "If all features are scaled by the same factor λ∈R>0, i.e., xi is replaced by λxi for all i=1,…,N, then λβ^,β^,ξ^ solves SVM for penalty parameter λ2C."
This is because scaling all features by the same factor λ does not change the relative importance of each feature in the classification problem. Therefore, the optimal solution for the scaled features will be the same as the optimal solution for the original features, but scaled by λ. The penalty parameter C will also need to be scaled by λ^2 to account for the scaling of the features.
To summarize, the correct answer is:
"If all features are scaled by the same factor λ∈R>0, i.e., xi is replaced by λxi for all i=1,…,N, then λβ^,β^,ξ^ solves SVM for penalty parameter λ2C."
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Find the area of the parallelogram when the base is 3 side is 5.3 and the height is 5
Area of the parallelogram is 15 cm²
Area of the parallelogram:
Given that;
Base of parallelograms = 3 cm
Side of parallelograms = 5.3
Height of parallelograms = 5 cm
Find:
Area of the parallelogram
Computation:
Area of the parallelogram = l × b
Area of the parallelogram = 3 × 5
Area of the parallelogram = 15 cm²
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F(x)=x^2+6x+8 What are the zeroes of the function? Write the smaller x first, and the larger x second
To find the zeros, set the function equal to 0. In other words, solve f(x)=0.
f(x) = 0
x^2 +6x + 8 = 0
(x+4)(x +2) = 0
x = -4 and x = -2
The vertex will happen when x = -b/2a:
[tex]x=\dfrac{-6}{2(1)} = -3[/tex]
Then use this x-value of –3 to find the y-value of the vertex:
y = (-3)^2 + 6(-3) + 8 = 9-18+8 = -1
The vertex is (-3,-1).
Side note: The x-value of the vertex can also be found by finding the average of the two zeros:
(-4 + (-2)) / 2 = -6/2 = -3
simply the expression (6^2)4
Answer:
144
Step-by-step explanation:
6*6=36
36*4=144
The gold bar trapezium has cross-sectional area. Gold has a density of 19. 3 per cm3. Work out the mass of the gold bar. Give your answer in kilograms
The mass of the gold bar of the trapezium shape and a density of 19.3g/cm³ is found to be 8.646 KG.
The volume of the trapezoidal prism will be determined first. V = BL, where B is the area of the trapezoidal face and L is the prism's length, is the formula for the volume of the prism.
We are aware that a trapezoid's area is equal to B = 1/2(6+10). (4)
B = 32 m²
When we enter the formula for volume, V = 32 x 14 V = 448 m³, we know that L is 14 cm.
Divide the mass by the volume to get the density, or D = M/V.
According to values,
19.3 = M/448
M = 8646.4 grams, which is equal to 8.646 grams.
The density is stated to be 19.3 kg/m³. Hence, the gold weighs 8.646 kilos.
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Complete question - The gold bar trapezium has cross-sectional area. Gold has a density of 19. 3 per cm3. Work out the mass of the gold bar. Give your answer in kilograms. The dimension of the trapezium are length = 14cm, parallel sides are 6cm and 10cm nd the height is 4cm.
ive been looking at this for hours sos
Answer: 36
Step-by-step explanation:
What is the common ratio of this geometric sequence
Answer:
what about you read well and stop cheating
5. Jessica is building a model rocket for her physics class. After studying the flight path of her rocket, she has
concluded that she wants her rocket to achieve a maximum height of 50 ft. The equation for her rocket is
-3x² + 6x + 48. Will Jessica's rocket clear 50 ft?: (Hint Find the vertex of the equation to find the maximum
height of the rocket)
The graph shows the relationship between the time Katrina spends jogging and her total distance traveled. Which function represents the relationship?
The function which represent the distance and time is y=6x-17.5.
What is function?A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
Here according to the given data, let us take to points to find linear function then,
[tex](x_1,y_1)=(0.5,3)[/tex] and [tex](x_2,y_2)=(1,6)[/tex].
Now using slope formula, m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
=> Slope m = [tex]\frac{6-3}{1-0.5} = \frac{3}{0.5}[/tex] = 6
Now using equation formula , [tex]y-y_1=m(x-x_1)[/tex] then,
=> y-0.5=6(x-3)
=> y-0.5=6x-18
=> y=6x-18+0.5
=> y=6x-17.5
Hence the function which represent the distance and time is y=6x-17.5.
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HELP NEEDED FROM ANYONE
The length of the diagonal is between 4 - 5 and closer to 4
How to determine the intervalFirst, we need to know the properties of a rectangle;
A rectangle is a quadrilateralThe opposite sides are equal to each otherEach interior angle is equivalent to 90 degreesThe sum of all the interior angles is equivalent to 360 degreesThe diagonals bisect each other at right anglesBoth the diagonals have the same lengthA rectangle with side lengths a and b has its perimeter as 2a+2b unitsA rectangle with side lengths a and b has its area as: ab square unitsA diagonal of a rectangle is the diameter of its circumcircleGiven that the diagonal measures;
√18
Find the value
4. 2
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Let N E N be such that N > 2. Let Ω be the set of non-empty subsets of {1,...,N}, i.e. Ω = {ω C {1,...,N}: ω ≠0}. Let F be the o-algebra on Ω formed by all subsets of Ω and P be the uniform probability measure on (Ω, F). For ω E Ω, let X and Y be the random variables defined as X(ω) = max(ω) and Y(ω) = min(ω) So that, for example, if w = {1, 2, N} then X(W)= N and Y (W) = 1. (a) Show that the probability mass function of X is px (n) = 2^n-1 / 2^N – 1 n € {1,...,N} and 0 otherwise. (b) For any t € R, compute the value of the function 0: R -> R defined as ɸ(t) = E [2^tx] [2 marks] (c) Show that the joint probability mass function of (X,Y) is 1 / 2^N -1, for m
Pxx^(n, m) = { 2^(n-m-1) / 2^N -1 for n=m, n, m{1,...,N}
0, otherwise [2 marks] (d) Determine the probability mass function of W - X - Y. [3 marks)
(a) The probability that X = n is 2^n-1 / 2^N - 1.
(b) ɸ(t) = E[2^tx] = ∑_{n=1}^N 2^tx P(X=n) = ∑_{n=1}^N 2^tx (2^n-1 / 2^N - 1) = (2^t / 2^N - 1) ∑_{n=1}^N 2^(n-1)t = (2^t / 2^N - 1) (2^Nt - 1) / (2^t - 1) = 2^Nt / (2^N - 1)
(c) The probability that X = n and Y = m is 2^(n-m-1) / 2^N - 1.
(d) This is the same as finding the probability that the difference between the maximum and minimum elements of a subset of {1,...,N} is k. If k = 0, then the only subsets with maximum and minimum elements differing by k are the single-element subsets, so P(W=k) = N / 2^N - 1. If k > 0, then there are (N-k) choices for the minimum element m and 2^(k-1) subsets of {m+1,...,m+k-1}, so P(W=k) = (N-k) 2^(k-1) / 2^N - 1.
To find the probability mass function of X, we need to find the probability that X = n for each n ∈ {1,...,N}. This is the same as finding the probability that the maximum element of a subset of {1,...,N} is n. There are 2^n-1 subsets of {1,...,n-1}, and each of these subsets can be combined with n to form a subset of {1,...,N} with maximum element n. Therefore, the probability that X = n is 2^n-1 / 2^N - 1.
To find the value of ɸ(t) for any t ∈ R, we need to compute the expected value of 2^tx. Using the formula for expected value, we get:
ɸ(t) = E[2^tx] = ∑_{n=1}^N 2^tx P(X=n) = ∑_{n=1}^N 2^tx (2^n-1 / 2^N - 1) = (2^t / 2^N - 1) ∑_{n=1}^N 2^(n-1)t = (2^t / 2^N - 1) (2^Nt - 1) / (2^t - 1) = 2^Nt / (2^N - 1)
To find the joint probability mass function of (X,Y), we need to find the probability that X = n and Y = m for each n,m ∈ {1,...,N}. If n = m, then the only subset of {1,...,N} with maximum element n and minimum element m is {n}, so P(X=n, Y=m) = 1 / 2^N - 1. If n ≠ m, then there are 2^(n-m-1) subsets of {m+1,...,n-1}, and each of these subsets can be combined with m and n to form a subset of {1,...,N} with maximum element n and minimum element m. Therefore, the probability that X = n and Y = m is 2^(n-m-1) / 2^N - 1.
To find the probability mass function of W = X - Y, we need to find the probability that W = k for each k ∈ {0,...,N-1}. This is the same as finding the probability that the difference between the maximum and minimum elements of a subset of {1,...,N} is k. If k = 0, then the only subsets with maximum and minimum elements differing by k are the single-element subsets, so P(W=k) = N / 2^N - 1. If k > 0, then there are (N-k) choices for the minimum element m and 2^(k-1) subsets of {m+1,...,m+k-1}, so P(W=k) = (N-k) 2^(k-1) / 2^N - 1.
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Question 19, 2.6.101 Part 3 of 7 computer is x dollars. Let f(x)=x-200 and g(x)=0.7x. e functions f and g model in terms of the price of the computer.
Using composition function , the price of the computer after both discounts are applied is 0.7x - 140.
To find the price of the computer after both discounts are applied, we can use composition function . Specifically, we can find the composition of f and g, denoted as f(g(x)) or (f o g)(x). This will give us the price of the computer after both discounts are applied.
To find f(g(x)), we can substitute the expression for g(x) into the function f(x):
f(g(x)) = f(0.7x) = (0.7x) - 200
So the price of the computer after both discounts are applied is (0.7x) - 200.
Alternatively, we could find the composition of g and f, denoted as g(f(x)) or (g o f)(x). This will give us the same result, since the order of the discounts does not matter.
To find g(f(x)), we can substitute the expression for f(x) into the function g(x):
g(f(x)) = g(x-200) = 0.7(x-200) = 0.7x - 140
Either way, we can see that the price of the computer after both discounts are applied is a function of the original price x, and can be represented by the composition of the functions f and g.
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Sometimes, the relationship between the variables doesn't stay the _______ This type of relation is called a piecewise linear relationship. The graph of a piecewise linear relationship is made of non-overlapping _______ straight lines, like this one.
The required fill-in-the-blanks are "same" and "line segments".
What is the linear relationship?A linear relationship is a connection that takes the shape of a straight line on a graph between two distinct variables - x and y. When displaying a linear connection using an equation, the value of y is derived from the value of x, indicating their relationship.
Sometimes, the relationship between the variables doesn't stay the "same". This type of relation is called a piecewise linear relationship.
The graph of a piecewise linear relationship is made of non-overlapping "line segments", like this one.
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The perimeter of a rectangular table is 18 feet. The table is 42 inches wide. Which of the following show the length of the table?
Answer:
First, we need to convert the width of the table from inches to feet to ensure that the units match. There are 12 inches in a foot, so:
42 inches ÷ 12 inches/foot = 3.5 feet
Let the length of the table be L feet. The perimeter is the sum of the lengths of all four sides of the rectangle, so:
2L + 2(3.5 feet) = 18 feet
Simplifying and solving for L:
2L + 7 feet = 18 feet
2L = 11 feet
L = 5.5 feet
Therefore, the length of the table is 5.5 feet.
Answer:
66
Step-by-step explanation:
the problem ask fr it draw out 2 rectangle
Which change, if any, is needed to the underlined text?
“Taking up to six months, hikers who plan to complete the entire
journey”
-A journey of up to six months, hikers planning to complete it entirely
-Taking up to six months to complete, hikers who plan the entire journey
-The entire journey takes up to six months to complete, so hikers who plan to
finish it
-No change
No change is needed. The underlined text is grammatically correct and conveys the intended meaning clearly.
What is the meaning of the underlined test?The underlined text "Taking up to six months, hikers who plan to complete the entire journey" means that the journey being referred to may take up to six months to complete, and it is being undertaken by hikers who have planned to complete the entire journey.
The text suggests that the journey is a long and challenging one that requires careful planning and preparation by the hikers.
Therefore, the correct answer is as given above. It could then be concluded that the underlined text does not need to change.
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I really need the answers to these math equations
A correct 2-column proof include the following: B. table B.
What is a supplementary angle?In Mathematics, a supplementary angle simply refers to two (2) angles or arc whose sum is equal to 180 degrees.
Since line segment r is parallel to line segment s, the 2-column proof to justify that angle b and angle h are supplementary angles should be written as follows;
Statement Reasons_________________
r║s Given
∠b ≅ ∠c Vertical angles
∠c and ∠e are supplementary Same-side interior angles
∠e ≅ ∠h Vertical angles
∠b and ∠h are supplementary Substitution
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