Ash began her hike at 1,986 feet above sea level. She then hiked down 2,510 feet decreased her altittude by
another 420 feet and then increased her altitidue by 712 feet. What is Addison's final altitude ?
Vocab: Altitude
means the height of an object or point in relation to sea level or ground level.
Answers
Answer:
1986-2510=-524
-524-420=-994
-994+712=-232
final altitude=-232
Step-by-step explanation:
Related Questions
How am I supposed to do this?
Answers
The two-sided limit exists as long as the limits from either side also exist and are equal. So to compute the limit, you have to compute the one-sided limits,
\(\displaystyle\lim_{x\to0^-}f(x)\)
\(\displaystyle\lim_{x\to0^+}f(x)\)
f(x) has a different definition and thus different behavior as x approaches 0 depending on which direction x is approaching 0:
• When x approaches 0 from the left (or from below), you use the definition of f for x < 0, so
\(\displaystyle\lim_{x\to0^-}f(x) = \lim_{x\to0}(-x-2) = -2\)
• When x approaches 0 from the right (or above), you use the other definition, so
\(\displaystyle\lim_{x\to0^+}f(x) = \lim_{x\to0} \left(\frac x2-2\right) = -2\)
The limits from either side match, so the two-sided limit exists and is also -2.
Find the area under the standard normal curve to the right of z = 1.56. Round your answer to four decimal places, if necessary. Answer 2 Points Keypad If you would like to look up the value in a table, select the table you want to view, then ether click the cell at the intersection of the row a use the arrow keys to find the appropriate cell in the table and select it using the Space key. Normal Table- to -z Normal Table-w to z Prev
Answers
The area under the standard normal curve to the right of z = 1.56 is approximately 0.0594.
To find the area under the standard normal curve to the right of z = 1.56, we can use a standard normal distribution table or a calculator.
Using a standard normal distribution table:
1. Look up the value for z = 1.5 in the table. The closest value available is z = 1.56.
The area to the left of z = 1.56 is given as 0.9406 in the table.
2. Since we want the area to the right of z = 1.56, we subtract the area to the left from 1:
Area to the right = 1 - 0.9406 = 0.0594
So, the area under the standard normal curve to the right of z = 1.56 is approximately 0.0594.
Please note that the table values are rounded, so the answer may be rounded to four decimal places.
A normal distribution is a general distribution that represents any normally distributed data with any possible value for its parameters, that is, the mean and the standard deviation. Conversely, the standard normal distribution is a specific case where the mean equals zero and the standard deviation is the unit. That is why we can refer to a normal distribution and the standard normal distribution.
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The perimeter of a rectangle is 40 cm. The length is 14 cm.
Let x = width of the rectangle.
Ravi says he can find the width using the equation 2(x + 14) = 40.
Fran says she can find the width using the equation 2x + 28 = 40.
Answer the questions to solve the equations and to compare the steps and solutions.
1. Which of these is the most helpful first step for solving Ravi's equation, 2(x + 14) = 40? (1 point)
Circle the best answer.
Add 14 to both sides
Subtract 14 from both sides
Divide both sides by 2
Multiply both sides by 2
2. What would your next step be? (1 point)
3. Solve Ravi's equation, 2(x + 14) = 40, to find the width of the rectangle. Show your work. (1 point)
4. Which of these is the most helpful first step for solving Fran's equation, 2x + 28 = 40? (1 point)
Circle the best answer.
Multiply both sides by 2
Subtract 28 from both sides
Divide both sides by 2
Add 28 to both sides
5. What would your next step be? (2 points)
6. Solve Fran's equation, 2x + 28 = 40, to find the width of the rectangle. Show your work. (2 points)
7. The two equations have different solution steps. Do they have the same solution? Use the distributive property to show why this answer makes sense. (2 points)
Answers
The solution is given below.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
The perimeter of a rectangle is 40 cm. The length is 14 cm.
Let x = width of the rectangle.
Ravi says he can find the width using the equation 2(x + 14) = 40.
Fran says she can find the width using the equation 2x + 28 = 40.
now, we get,
1. Divide both sides by 2
2(x+14) = 40
x+14 = 20
2. Isolate the x term by subtracting 14 from both sides
3. x = 6. The width of the triangle is 6 cm.
4. Isolate the x term by subtracting 28 from both sides
2x + 28 = 40
2x = 12
5. Divide both sides by 2
6. x = 6
7. The two equations have the same solution, because by the distributive rule, 2(x+14) = 2x+28.
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60 POINTS ANSWER FOR BRAINLIST AND PROVIDE THE GRATH!! Stewart loves playing Genshin Impact so much that he “forgets” to do his schoolwork. It’s really starting to impact his grades and he has 36 overdue assignments. The semester is almost over, and he really needs to improve his grades. He can realistically complete 4 overdue assignments each day. Draw a graph to represent
this situation.
Answers
Answer: He needs 9 days to complete all his overdue assignments and if this is happening to you sry I feel your pain. Just vibing to k-pop while having a mental breakdown doesn't sound bad until you feel it :(
Step-by-step explanation:
Well, he has 36 overdue assignments, and if he completes 4 overdue assignments each day you need 9 days to complete all his overdue assignments.
36 divide 4 = 9 days
Jordan needed to get his computer fixed. He took it to the repair store. The
technician at the store worked on the computer for 6 hours and charged him
$55 for parts. The total was $505. Write and solve an equation which can be
used to determine x, the cost of the labor
per hour.
Answers
The cost of the labor per hour will be $75 and the equation will be 505=75x+55.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the technician at the store worked on the computer for 6 hours and charged him $55 for parts. The total was $505.
The cost per hour will be calculated as below:-
505-55= 450,
This means he paid $450 total for the cost of labor. Divide 45 by 6 to get 75.
He actually paid $75/hour.
505=75x+55.
x=75
Therefore, the cost of the labor per hour will be $75 and the equation will be 505=75x+55.
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A pair of jeans is on sale for $56 at 35% off. What is the original price of the jeans? Show your work to receive full credit
Answers
Solve 5=2x Round your answer to the nearest thousandth.
Answers
Answer: x=2.500
Step-by-step explanation:
5=2x
Divide by two on both sides
2.500=x
Isolate the variable by dividing each side by factor x
Question content area top
Part 1
What is the longest line segment that can be drawn in a right rectangular prism that is 12 cm long, 11 cm wide, and 8 cm tall
Answers
Answer:The answer is 18.1
Step-by-step explanation:
Each year, votes are cast for the rookie of the year in a softball league. The voting results for the top three finishers are shown in the table below. How many points is a third-place vote worth?
Answers
Answer:
A third place vote is worth 1 point
Step-by-step explanation:
Let the number of points for a first place vote be x, number of points for a second place vote be y and the number of points for a third place vote be z.
So, by multiplying the number of points by the number of what the point is worth and adding all together, we shall have the total points;
Hence, we have the following equation systems;
23x + 5y + z = 131
5x + 17y + 4z = 80
x + 5y + 15z = 35
These are the three equations we need to solve simultaneously to get the value of z
From equation 3, x = 35 -5y -15z
Insert this into the first two equations;
23 ( 35 -5y -15z) + 5y + z = 131
5(35-5y-15z) + 17y + 4z = 80
805 - 115y -345z + 5y + z = 131
805-131 = 115y + 345z -5y - z
674 = 110y + 344z ••••••••••(*)
The second equation now becomes the following;
5(35-5y-15z) + 17y + 4z = 80
175 -25y -75z + 17y + 4z = 80
175-80 = 25y + 75z -17y -4z
95 = 8y + 71z
8y + 71z = 95 •••••••••••(**)
So we have to solve x and xx simultaneously;
110y + 344z = 674
8y + 71z = 95
110/8 = 13.75 , so multiply equation xx by 13.75 and equation x by 1
110y + 344z = 674
110y + 976.25z = 1306.25
Subtract equation xx from x
(976.25z - 344z) = (1306.25 -674)
632.25z = 632.25
z = 632.25/632.25
z = 1
Suppose a company wants to introduce a new machine that will produce a marginal annual savings in dollars given by S '(x)= 175 - x^2, where x is the number of years of operation of the machine, while producing marginal annual costs in dollars of C'(x) = x^2 +11x. a. To maximize its net savings, for how many years should the company use this new machine? b. What are the net savings during the first year of use of the machine? c. What are the net savings over the period determined in part a?
Answers
a) To maximize its net savings, the company should use the new machine for 7 years. b) The net savings during the first year of use of the machine are $405 (rounded off to the nearest dollar). c) The net savings over the period determined in part a are $1,833.33 (rounded off to the nearest cent).
Step-by-step explanation: a) To determine for how many years should the company use the new machine to maximize its net savings, we need to find the value of x that maximizes the difference between the savings and the costs.To do this, we need to first calculate the net savings, N(x), which is given by:S'(x) - C'(x) = 175 - x² - (x² + 11x) = -2x² - 11x + 175To find the maximum value of N(x), we need to find the critical values, which are the values of x that make N'(x) = 0:N'(x) = -4x - 11 = 0 ⇒ x = -11/4The critical value x = -11/4 is not a valid solution because x represents the number of years of operation of the machine, which cannot be negative. (i.e., not use it at all).However, this answer does not make sense because the company would not introduce a new machine that it does not intend to use. Therefore, we need to examine the concavity of N(x) to see if there is a local maximum in the feasible interval.
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(a) If the length of a pond having the perimeter 274 m is 68.5 m, prove that the pond is square shaped
Answers
Answer:
68,5*4=274 nên cái ao đó là hình vuông
Step-by-step explanat
4*a là chu vi hình vuông
Consider the problem of finding a plane αTx=β (i.e. α1x1+α2x2+α3x3+α4x4=β with α=(0,0,0,0)) that separates the following two sets S1 and S2 of points (some points from S1 and S2 might lie on the plane αTx=β) : S1={(1,2,1,−1),(3,1,−3,0),(2,−1,−2,1),(7,−2,−2,−2)}, S2={(1,−2,3,2),(−2,π,2,0),(4,1,2,−π),(1,1,1,1)}. 1.1 Formulate the problem as a linear optimization problem (LO). 3p 1.2 Find a feasible solution (α,β) for (LO) if it exists, or show that no feasible solution exists. 2p
Answers
All the points in both sets satisfy the constraints, the feasible solution is α = (1, 0, 0, 0) and β = 0. This plane separates the sets S1 and S2.
To formulate the problem as a linear optimization problem (LO), we can introduce slack variables to represent the signed distances of the points from the plane αTx = β. Let's denote the slack variables as y_i for points in S1 and z_i for points in S2.
1.1 Formulation:
The problem can be formulated as follows:
Minimize: 0 (since it is a feasibility problem)
Subject to:
α1x1 + α2x2 + α3x3 + α4x4 - β ≥ 1 for (x1, x2, x3, x4) in S1
α1x1 + α2x2 + α3x3 + α4x4 - β ≤ -1 for (x1, x2, x3, x4) in S2
α1, α2, α3, α4 are unrestricted
β is unrestricted
y_i ≥ 0 for all points in S1
z_i ≥ 0 for all points in S2
The objective function is set to 0 because we are only interested in finding a feasible solution, not optimizing any objective.
1.2 Finding a feasible solution:
To find a feasible solution for this linear optimization problem, we need to check if there exists a plane αTx = β that separates the given sets of points S1 and S2.
Let's set α = (1, 0, 0, 0) and β = 0. We choose α to have a non-zero value for the first component to satisfy α ≠ (0, 0, 0, 0) as required.
For S1:
(1, 2, 1, -1) - 0 = 3 ≥ 1, feasible
(3, 1, -3, 0) - 0 = 4 ≥ 1, feasible
(2, -1, -2, 1) - 0 = 0 ≥ 1, not feasible
(7, -2, -2, -2) - 0 = 3 ≥ 1, feasible
For S2:
(1, -2, 3, 2) - 0 = 4 ≥ 1, feasible
(-2, π, 2, 0) - 0 = -2 ≤ -1, feasible
(4, 1, 2, -π) - 0 = 5 ≥ 1, feasible
(1, 1, 1, 1) - 0 = 4 ≥ 1, feasible
Since all the points in both sets satisfy the constraints, the feasible solution is α = (1, 0, 0, 0) and β = 0. This plane separates the sets S1 and S2.
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18 students are going on a field trip the bus can fit 14 so four of them will have to ride in a car and how many ways can we choose the four students who must ride in the car
Answers
Answer:
Number of ways we can choose the four students who must ride in the car = 3060 ways
Step-by-step explanation:
This is a combination question.
The number of selections of "r" objects from the given "n" objects is denoted by;
C(n,r), and is given by;
C(n, r) = n!/[r!(n - r)!]
In this question, n = 18 and r = 4
Thus;
C(18, 4) = 18!/[4!(18 - 4)!]
C(18,4) = 3060
Number of ways we can choose the four students who must ride in the car = 3060 ways
8+4(3(-2)+-4) plzz solve help a personn
i got a 10 but other apps say -32 can smone explainn
Answers
Answer:
8+4(3(-2)+-4)
Solve brackets first
8+4(-6+-4)
8+4(-6-4)
8+4(-10)
8+-40
8-40
= -32
Step-by-step explanation:
8+4(3(-2)+-4)
= 8+4 (-6-4)
=8+4(-10)
=8-40
=-32
Urgent!!! Help guysss
Answers
Answer:
mandatory pay raises
Step-by-step explanation:
An artist is hired to create an art display for the interior of a city building. The display is to span a total width of 14 yd. The artist decides to cover this space with equally sized portraits placed side-by-side in a horizontal line with no gaps. Each portrait has a width of 42 in. How many portraits will be used in the display?First fill in the blanks on the left side of the equation using three of the ratios shown. Then write your answer on the right side of the equation.
Answers
Answer:
Explanation:
Width of a portrait = 42 inch
Total Width of the display = 14 yards
1 Yard = 36 inches
14 yards = 36 x 14 = 504 inches
Therefore, the number of portraits that will be used in the display will be:
\(\begin{gathered} =\frac{504}{42} \\ =12\text{ portraits} \end{gathered}\)Melissa sold 18 raffle tickets for the
school fundraiser. Jonah sold half as
many tickets as Melissa. Shona sold 1
Ź times as many tickets as Melissa. If
each ticket cost $6, how much total
money did the students raise?
Answers
Answer:
$324
Step-by-step explanation:
Melissa sold 18 tickets.
Jona sold 1/2 * 18 = 9 tickets
Shona sold 1 1/2 * 18 = 1.5 * 18 = 27 tickets
Total number of tickets sold:
18 + 9 + 27 = 54
Total money from sales: 54 * $6 = $324
In the square below, the diagonal AC is 12v2 inches Find the area of the shaded region and find the exact circumference of the inscribed © X.
Answers
AB = BC
\(\begin{gathered} (AC)^2=(AB)^2+(BC)^2 \\ (12\sqrt[]{2})^2=(BC)^2+(BC)^2 \end{gathered}\)\(\begin{gathered} 24=2(BC)^2 \\ \frac{24}{2^{}}=(BC)^2\text{ } \\ (BC)^2=12 \\ BC\text{ =}\sqrt[]{12} \\ BC\text{ = 2}\sqrt[]{3}\text{ inches} \end{gathered}\)Area of shaded part = Area of the square - the area of the circle
\(\begin{gathered} \text{Area of square = length x length} \\ \text{Area of square = 2}\sqrt[]{3}\times2\sqrt[]{3}=12inch^2 \end{gathered}\)\(\begin{gathered} \text{Area of circle = }\pi\text{ }\times r^2 \\ r=\text{ BC = 2}\sqrt[]{3}inches \\ \text{Area of circle= 3.14 }\times(2\sqrt[]{3)}^2=\text{ 37.68} \end{gathered}\)Area of shaded part = 37.68- 12 =25.68 square inche
\(\text{Circumference of a circle = 2}\times\pi\times r\)\(undefined\)
The Sea Wharf Restaurant would like to determine the best way to allocate a monthly advertising budget of $5,000.00 between newspaper advertising and radio advertising. Management decided that at least 25% of the budget must be spent on each type of media and that the amount of money spent on local newspaper advertising must be at least twice the amount spent on radio advertising. A marketing consultant developed an index that measures audience exposure per dollar of advertising on a scale from 0 to 100, with higher values implying greater audience exposure. If the value of the index for local newspaper advertising is 40 and the value of the index for spot radio advertising is 70, how should the restaurant allocate its advertising budget to maximize the value of total audience exposure?
(a) Formulate a linear programming model that can be used to determine how the restaurant should allocate its advertising budget in order to maximize the value of total audience exposure. (Assume N is the amount spent on newspaper advertising and R is the amount spent on radio advertising.)
(b) Develop a spreadsheet model and solve the problem using Excel Solver. (Round the Newspaper Dollars Allocated and the Radio Dollars Allocated to the nearest cent. Round the Total Exposure Index to the nearest integer.)
Answers
To formulate a linear programming model, let N represent the amount spent on newspaper advertising and R represent the amount spent on radio advertising.
The objective is to maximize the value of total audience exposure, which can be measured using the exposure index. Let's denote this as Z.
The constraints are as follows:
1. The budget constraint: N + R ≤ $5,000.
2. At least 25% of the budget must be spent on each type of media: N ≥ $1,250 and R ≥ $1,250.
3. The amount spent on local newspaper advertising must be at least twice the amount spent on radio advertising: N ≥ 2R.
Therefore, the linear programming model can be written as follows:
Maximize Z = 40N + 70R
Subject to:
N + R ≤ 5000
N ≥ 1250
R ≥ 1250
N ≥ 2R
(b) To solve this problem using Excel Solver, you can set up a spreadsheet model with the following columns: Newspaper Dollars Allocated, Radio Dollars Allocated, Total Exposure Index.
In the Newspaper Dollars Allocated column, input the formula "=N" to represent the amount spent on newspaper advertising. In the Radio Dollars Allocated column, input the formula "=R" to represent the amount spent on radio advertising.
In the Total Exposure Index column, input the formula "=40*N+70*R" to calculate the total exposure index based on the allocated budget.
Use Excel Solver to set up the optimization problem. Set the objective cell as the Total Exposure Index column and set the constraints for the budget, minimum spending, and newspaper-radio ratio.
After running the Solver, it will provide the optimal values for N and R (the amount spent on newspaper and radio advertising, respectively), as well as the maximum value of total audience exposure (rounded to the nearest integer).
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Define the nonprobability sampling methods and give examples of each.
Answers
Sampling is the use of a subset of the population to represent the whole population or to inform about processes that are meaningful beyond the particular cases, individuals or sites studied.
In non-probability sampling, the sample is selected based on non-random criteria, and not every member of the population has a chance of being included. Common non-probability sampling methods include convenience sampling, voluntary response sampling, purposive sampling, snowball sampling, and quota sampling.
Michael invested a total of $14,000 in two certificates of deposit. One pays 5% interest,
and the other pays 6% interest. His total interest at the end of one year is $780. How
much is invested in the CD that pays 5% interest?
Answers
Answer:
6000=5%
8000=other CD
Step-by-step explanation:
The distance covered by the fastest high-speed train in Japan traveling at maximum speed is represented on the graph. The fastest high-speed train in the United States traveling at maximum speed covers 600 kilometers in 1/2 hours. Which train has a greater maximum speed? Explain.
Answers
Answer:
it would run up almost 360 kph
Step-by-step explanation:
i look it up
Drag the expressions to order them top to bottom from least to greatest.
Answers
Answer:
|-5\(\frac{3}{7}\)|
|5\(\frac{1}{7}\)|
|-4\(\frac{6}{7}\)|
|-4\(\frac{3}{7}\)|
|4\(\frac{2}{7}\)|
Step-by-step explanation:
absolute value is how far the the number is away from zero, it does not matter if it is negative or positive
Kimmi and her mom count 254 guests coming to the wedding. There are 9 tables at the wedding. How many guests sit at each table? How many guests are left over?
Answers
Answer:
28 guests with 2 guests remaining
Step-by-step explanation:
254/9 = 28.2222222
so 28 remainder 2
hope this helps :) mark brainliest?
Solve the equation. Then check your solution. 11 minus 19 m = negative 16 m minus 16 a. 9 c. –9 b. StartFraction 27 Over 35 EndFraction d. 1 and two-thirds
Answers
The solution of 11 - 19m = - 16m - 16 is m equals 9.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given statement 11 minus 19 m = negative 16 m minus 16 can be numerically expressed as,
11 - 19m = - 16m - 16.
- 19m + 16m = - 11 - 16.
- 3m = - 27.
3m = 27.
m = 27/3.
m = 9.
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( 1,-2), gradient = -3
Answers
Answer:
if you are required to find the equation of a straight line use the formula y-y1= m (x-x1)
y+2=-3(x-1)
y+2=-3x+3
y= -3x+3-2
y -3x+1
hope this helps
Answer:
y = -3x + 1
Step-by-step explanation:
(y -(-2)) = -3(x-1)
y+ 2 = -3x+ 3
y = -3x + 1
if i was o dived 3 by 2 what woud it be
Answers
Answer:
it would be zero
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
En la clase de segundo eso B del IES la asuncion hay 30 alumnos y alumnas si el numero de chico supera en 6 al de chicas ¿cuantos alumnos y alumnas hay en clase
Answers
Answer:
Necesito más información ??
Step-by-step explanation:
Help plssssss show work
Answers
Answer:
19/12
Step-by-step explanation:
Make the denominators common, this case would be 12.
5/6*2=10/12
3/4*3=9/12
Add: 10/12+9/12=19/12
Answer:19/12
Step-by-step explanation:
Find common denominator, in this case 12.
PLS HELP 25 POINTS NO CAP PLS BRAINLEIST
Answers
Answer:
I can't see the picture or handwriting