The elevation at which the race ends is given by the equation A = 195 feet
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the elevation at which the race ends be A
Now , the equation will be
The bike road race starts at an elevation of 500 feet
So , the initial elevation = 500 feet
The number of stages = 5 stages
The elevation at first stage = -139 feet
The elevation at second stage = -63 feet
The elevation at third stage = 197 feet
The elevation at fourth stage = 27 feet
The elevation at fifth stage = -327feet
So , the total elevation of all the stages during the bike race = initial elevation + elevation at first stage + elevation at second stage + elevation at third stage + elevation at fourth stage + elevation at fifth stage
Substituting the values in the equation , we get
The total elevation of all the stages during the bike race = elevation at which the race ends A
So ,
Elevation at which the race ends A = 500 + (-139) + (-63) + (197) + (27) + (-327)
On simplifying the equation , we get
Elevation at which the race ends A = 500 - 305
Elevation at which the race ends A = 195 feet
Therefore , the value of A is 195 feet
Hence , the race ends at an elevation of 195 feet
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Angelina has taken 27 of the 36 exams she needs to take to become a nurse. What percent of the exams has she taken?
The percentage of the exam that she has taken is 75%.
What percentage of the exam has she taken?Percentage is a measure of frequency that is used to express the ratio of an amount as a number out of 100. The sign that is used to represent percentage is %.
In order to convert a number to percentage, multiply the number by 100. In order to determine the percent of exams that she has taken, multiply the ratio of exams taken and the total number of exams by 100.
Percent of the exams she has taken = (number of exams taken / total number of exams) x 100
Percent of the exams she has taken = (27 / 36) x 100
Percent of the exams she has taken = 75%
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You want to buy a $135,000 home. You plan to pay 5% as a down payment, and take out a 30 year loan at
6.1% interest for the rest.
How much is the loan amount going to be?
What will your monthly payments be?
How much total interest do you pay?
Suppose you want to pay off the loan in 15 years rather than 30. What will your monthly payment be?
On solving the provided question, we can say that - so, percentage - 400/500 X 100 = 80%
What is percentage?A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.
here,
total is 500
obtained is 400
so, percentage - 400/500 X 100 = 80%
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Keshawn is organizing textbooks on his bookshelf. He has a Spanish textbook, a biology textbook, a history textbook, and a writing textbook. How many different ways can he line the textbooks up on his bookshelf?
Answer: four textbooks
Step-by-step explanation:
The population of a town grows uniformly at the rate of 4% every year. In how many years will the population of the town grow from 15,62,500 to 17,57,600?
Therefore , the solution of the given problem of percentage comes out to be time n = 3 years.
What is percentage?A figure or ratio that is stated as a percentage of 100 is referred to as a percentage in mathematics. However, the percent symbol ("%) is usually used to denote it." The percent amount is flat. When the numerator is 100, percentages are really just fractions. Put the standard form (%) next to a number to show that it is a percentage. For instance, if you correctly respond to 75 out of questions in total on a test, you receive a 75% (75/100).
Here,
Given: 1757600 more people overall
Population as of now: 1562500
According to the issue,
=> 1562500[tex](1 + 4/100 )^{n}[/tex] = 1757600
=> [tex](26/25)^{n}[/tex] = 1757600/ 1562500
=> [tex](26/25)^{n}[/tex]= [tex](26/25)^{3}[/tex]
On comparing,
n=3
Therefore , the solution of the given problem of percentage comes out to be time n = 3 years.
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A company employing 10,000 workers offers deluxe medical coverage (D), standard medical coverage (S) and economy medical coverage (E) to its employees. Of the employees, 30% have D, 60% have 5 and 10% have E. From past experience, the probability that an employee with D, will submit no claims during next year is 0.1. The corresponding probabilities for employees with S and E are 0.4 and 0.7 respectively. If an employee is selected at random;
a) What is the probability that the selected employee has standard coverage and will submit no
claim during next year? b) What is the probability that the selected employee will submit no claim during next year?
c) If the selected employee submits no claims during the next year, what is the probability that the employee has standard medical coverage (S)?
please give full answer
Which is 70% of 2,000?
A.14
B.70
C.140
D.700
E.1400
Answer:
Option E) 1400
Step-by-step explanation:
Based on the given conditions, formulate: 70‰ x 2000
Convert the percentage to decimals: 0.7 x 2000
Calculate the product or quotient: 1400
Hence , the answer is 1400
A principal of $3600 is invested at 3.5% interest, compounded annually. How much will the investment be worth after 12 years? Use the calculator provided and round your answer to the nearest dollar. X S
Answer:
$5043
Step-by-step explanation:
To find the value of the investment after 12 years, you can use the following formula:
A = P * (1 + r/n)^(nt)
Where:
A = final amount
P = principal
r = interest rate
n = number of times the interest is compounded per year
t = number of years
Plugging in the values from the problem, we get:
A = 3600 * (1 + 3.5/100)^(1*12)
Solving this equation, we get:
A = $5043.33
So, after 12 years, the investment will be worth $5043.33.
The midpoint of \overline{\text{AB}} AB is M(7, -7)M(7,−7). If the coordinates of AA are (8, -6)(8,−6), what are the coordinates of BB?
Using the formula for the midpoint of the line with given points A and B as the end points of the line, the coordinates of the point B is (6,-8).
How do you find the midpoint of a line segment?To find the midpoint of a line segment, you must first find the coordinates of the two endpoints of the segment. Then, take the average of the x-coordinates and the y-coordinates to find the x and y coordinates of the midpoint. This can be done by adding the x-coordinates and y-coordinates of the two endpoints together and then dividing by 2.
What is the formula for finding the midpoint of a line segment?
The formula for finding the midpoint of a line segment is:
Midpoint = ( (x1+x2)/2 , (y1+y2)/2 )
Where (x1,y1) and (x2,y2) are the coordinates of the two endpoints of the line segment.
Using the given coordinates of point A(8,-6) and the midpoint M(7,-7) of the line, and using the midpoint formula for a line AB,
Midpoint(M) = [tex](\frac{x1+x2}{2},\frac{y1+y2}{2} )[/tex]
where x1, y1 are coordinates of point A , and x2, y2 are the coordinates of point B
so , (7,-7) = [tex](\frac{8+x2}{2} , \frac{-6+y2}{2})[/tex]
equating the corresponding points,
7 =(8+x2)/2
therefore, x2 = 6
and , -7 = (-6+y2)/2
therefore , y2 = -8
Hence the coordinates of B is , (x2,y2 ) = (6,-8)
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Round 0.21545977 to the nearest hundredth
Answer:
0.22
Step-by-step explanation:
Since 5 rounds up, it would be 0.22
Answer:
0.22 Is the answer.
I wish you luck on your assignments.
Max is designing a hot tub for a local spa. He wants the hot tub to have a diameter of 88 inches, What is the approximate area required for the installation of the hot tub? (Use 3.14 for .)
The area of the hot tub is 6079.04 in²
How to determine the area required for the installation of the hot tub?
To determine the approximate area required for the installation of the hot tub. You can use the area of a circle.
The area of a circle is given by A = πr²
where r is the radius of the circle
Since the hot tub to have a diameter of 88 inches, the radius will be 88/2 = 44 inches. π = 3.14.
Thus, area of the hot tub will be:
Area of hot tub = 3.14 × 44² = 6079.04 in²
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Draw a diagram of x + 2, and a separate diagram of 3x, when x is 2.
The graph of the equation x + 2 would be a straight line that starts at the point (-2, 0) and goes up 2 units on the y-axis. So, the line would pass through the point (0,2) and would be parallel to the x-axis.
The graph of the equation 3x when x is 2 would be a straight line that starts at the point (0,0) and goes up 6 units on the y-axis for each 1 unit on the x-axis. So, the line would pass through the point (2,6) and would have a slope of 3.
What is diagram in mathematics?In mathematics, a diagram is a visual representation of mathematical concepts or ideas. Diagrams can take many forms, such as graphs, charts, illustrations, and figures, and can be used to help explain or understand mathematical concepts.
For example, a graph is a type of diagram that is used to represent the relationship between two variables. It is commonly used in algebra and calculus to show the relationship between an independent variable (x-axis) and a dependent variable (y-axis).
A chart is a type of diagram that is used to organize and present data. It is commonly used in statistics to show the distribution of data or to compare different sets of data.
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A piece of hematite contains 72% iron. If the hematite weighed 160g, how much iron would there be?
Step-by-step explanation:
160g=100%
72%=72/160*100
=45
To order tickets online to a hockey game
Answer:
I'm not quite sure what the question is here but in order to buy tickets to a hockey game, you can type the hockey team or game into the web browser and select their website then select the time and dates you'd like to see the game
Hope this helps!
First five terms to the sequence a(n+1) = 5a(n) and a(1)=2 for n[tex]\geq[/tex]1
The required first five terms of the sequence are 2, 10, 50, 250, and 1250.
What is an arithmetic sequence?An arithmetic sequence is defined as an arrangement of numbers that is in a particular order.
The first five terms of the sequence, a(n), defined by the recurrence relation a(n+1) = 5a(n) and a(1) = 2, are as follows:
a(1) = 2
a(2) = 5a(1) = 5 × 2 = 10
a(3) = 5a(2) = 5 × 10 = 50
a(4) = 5a(3) = 5 × 50 = 250
a(5) = 5a(4) = 5 × 250 = 1250
Therefore, the first five representations of the sequence are 2, 10, 50, 250, and 1250.
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• Jason runs 8 miles in an hour and bikes 12 miles in an hour.
. This week, he runs a total of 3 hours and bikes a total of 6 hours.
Lisette wrote the following algebraic expression to represent “4 times as large as the product of w and 11.”
The translation of the sentence "4 times as large as the product of w and 11" to an expression is 44w
How to translate the algebraic sentence to an expressionFrom the question, we have the following parameters that can be used in our computation:
“4 times as large as the product of w and 11.”
The number is represented with w
So, the statement remains unchanged as follows
“4 times as large as the product of w and 11.”
4 times as large means 4 *
So, we have the following representation
4 times as large as the product of w and 11 ⇒ 4 * the product of w and 11.
the product of means that we multiply
4 times as large as the product of w and 11 ⇒ 4 * w * 11
Evaluate the products
This gives
4 times as large as the product of w and 11 ⇒ 44w
Hence, the expression is 44w
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What is the answer to 156 x 13
Answer:
2028
Step-by-step explanation:
156 x 13 = 2028
i really need help with this, i dont get how to identify outliners and gaps stuff, please help?
On solving the provided question, we can say that - the plotting data will be done by 3 to 24 ; 6 to 61 ; 5 to 56; 1 to 15
what is plotting data?A graph that demonstrates the relationship between two or more variables is the most common way to depict a data set using a chart. Both hand-drawn and computer-drawn diagrams are acceptable. Start at the origin and move 2 units to the right before moving 3 units up to draw the coordinates for the point 2,3 on the coordinate plane. Make your points clear. As a result, the pink dot with the letter P on it denotes 2.3. A number line containing each value in your data collection should be first created before making a line chart. Then, on the number line, put an X (or dot) over each value of the data. Put an X over the number for each time a value appears in a record where it does.
so we have to plot data from the given data, we can do by
3 to 24 ; 6 to 61 ; 5 to 56; 1 to 15
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martha has 17 043 943 957 points. 16 000 points equivilates to 50 $ off. How much money does Martha save?
Of course, a businesswoman who is extremely wealthy. Martha has a lot of money thanks to her writing numerous best-selling books, publishing a magazine (shoutout to all the kids from the 1990s whose moms read Martha Stewart Living), appearing on various TV shows, and having her own brand of goods, which includes a CBD line.
How did Martha make her money?Martha Stewart is a lot of things, including a person who built a nativity during her time in jail. Snoop Dogg's close friend. somebody with a large number of peacocks. Martha has a lot of money thanks to her writing numerous best-selling books, publishing a magazine (shoutout to all the kids from the 1990s whose moms read Martha Stewart Living), appearing on various TV shows, and having her own brand of goods, which includes a CBD line She was, in reality, America's first woman billionaire who had achieved success on her own.Now that Martha is no longer a billionaire (more on why in a bit), it is time to analyze her wealth.Celebrity In 1999, Martha Stewart and her business partner Sharon Patrick combined all of their endeavours into Martha Stewart Living Omnimedia (MSLO), which they then listed on the New York Stock Exchange. By the time trading ended, the stock had increased from $18 per share to $38 per share, making Martha practically instantly worth $1 billion.To more Learn about Martha Stewart Refer To:
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find the value of r so the line that passes through each pair of points has the given slope (5, 3), (r, -5), m=4
Answer:
r=3
Step-by-step explanation:
use slope formula : y2-y1 / x2-x1
-5-3 / r-5
the numerator is -8 which means the denominator has to be -2 in order to have the slope be 4
so r-5 = -2
3-5 = -2
Geometry need help asap
On solving the provided question, we can say that - here in quadrilateral we have x + 146 + 47 + y = 360 => [tex]x= 83.5[/tex]
what is quadrilateral?A quadrilateral is a four-sided polygon in geometry that has four edges and four corners. The word is a derivative of the Latin words quadri and latus (meaning "side"). Having four sides, four vertices, and four corners, a rectangle is a two-dimensional form. Concave and convex come in primarily two varieties. Additionally, there are several subclasses of convex quadrilaterals, including trapezoids, parallelograms, rectangles, rhombuses, and squares. Four straight sides make up a rectangle, which is a two-dimensional form. There are several different types of quadrilaterals, including parallelograms, trapezoids, rectangles, kites, squares, and rhombuses.
here,
x + 146 + 47 + y = 360
2x + 193 = 360
2x = 167
[tex]x= 83.5[/tex]
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Which of the following points is shown in the graph below? Question 5 options:
The point shown on the graph is
(4, -5, 6)
How to find the points shown on the graphAn ordered triplet of lines (the axes) that are pair-wise perpendicular and pass through the same point (the origin) make up a Cartesian coordinate system for a three-dimensional space.
Each axis also has an orientation, and the length of all three axes is equal.
In ordered triplet, the order of the axis is (x, y, z)
z is vertical up positive and down negative
y is horizontal right is positive and left is negative
x is the axis pointing to us which is positive pointing away is negative
Using this information, to trace the point shows that the point marked by a dot is (4, -5, 6).
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4. Of the three elevations, -2 feet, -12 feet, and
30 feet, which represents the least number?
Which represents the farthest distance from
sea level?
On solving the provided question, we can say that - y proportional to as the cube of s, y = ks3, then 8 = k * 23 => k = 1 then y = 1 * 53 = 125
what is directly proportional?If two numbers are directly proportional, then as one quantity grows by a specific percentage, so does the other quantity by the same percentage. As an illustration, as gas costs rise, the price of food may also increase. If the ratio of two values x to y never changes, then x and y are said to be directly proportional to one another. example: Let's say you spend Rs. 50 on two pens. 4 pens cost 100 rupees each. If the ratio of two numbers, x and y, is greater than 1, then the two values The value of y1 is constant.
Since y proportional to as the cube of s, y = ks3.
8 = k * 23 => k = 1
then y = 1 * 53 = 125
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What's the equation and solution?
Observing the given figure , It is a balanced balance which signifies both side should be equal, The answer is 2=-8-x and x=-10.
What do you mean by equations?An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A collection of one or more linear equations containing the same variables is known as a system of linear equations in mathematics. A set of two or more linear equations with two or more variables each constitutes a system of linear equations, all of which are taken into account simultaneously. Finding a numerical value for each variable in the system that will simultaneously satisfy all of the system's equations is necessary to identify the one and only solution to a system of linear equations.
What are the methods to solve system of equations?There are three ways to solve systems of linear equations :
GraphingSubstitution methodElimination method2=-8-x is the required balanced equation.
-x = 2 + 8
x= -10
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Round 0.2275 to the nearest hundredth
Answer:
0.23 is the answer
I wish you luck in your assignments.
each day you do homework for m minutes and watch tv for 30 minutes. Which expression can you use to find how many minutes you do both activities.
Answer:
Let y be the expression for the minutes you do both activities.then
y=m+30 is the required expression
Someone please help me out
The figures for this problem are not scale drawings, as the ratios between the equivalent side lengths are different.
What is a dilation?A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.
Hence, when a figure is a dilation of another figure, the two figures are scale drawings.
For this problem, the ratio between the bases of the rectangles is given as follows:
12/6 = 2.
The ratio between the height of each rectangle is given as follows:
6/2 = 3.
As the ratios are different, the two figures are not scale drawings of one another.
For them to be scale drawings, it would be needed either a ratio of 2 for the heights or a ratio of 3 for the bases.
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Two bulbs flush at regular intervals at 30 and 36 seconds respectively they flush together at 10:45 AM what time will they flush together for the second time
Answer: 10:48 AM
Explanation:
Two bulbs flash at regular intervals of 30 and 36 seconds respectively. LCM of 36 and 30 = 180. 180/60 = 3 minutes. They will flash together every 3 minutes. If they flash together at 10:45, the second time they will flash together will be 10:45 + 3 minutes = 10:48.
Hope this helps!!! :)
Can someone help me with this? It's urgent.
The table is filled as described , shown below.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
Here, we have,
Rate per hour is $11.25
Number of regular hours is 40
Payment for regular hours:
time multiply with payment=
40*$11.25 = $450
Again, we have,
Rate per overtime hour:
$11.25*1.5 = $16.875 ≈ $16.88 (rounded up)
Number of overtime hours:
48.5 - 40 = 8.5
Payment for overtime hours:
$16.88*8.5 = $143.48
Now, we get ,
Gross payment is the sum of regular and overtime payments:
$450 + $143.48 = $593.48
Hence, he would get $593.48
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Round 0.09305085 to the nearest hundredth