Answers
Answer:
See belolw
Step-by-step explanation:
\(P=53\text{ft}\)
\(P = a+b+c\)
\(53=2x-15+x+1+3x-29\)
\(53=6x-43\)
\(96=6x\)
\(x=16\)
\(a=2x-15\)
\(a=2(16)-15\)
\(\boxed{a=17}\)
\(b=x+1\)
\(b=16+1\)
\(\boxed{b=17}\)
\(c=3x-29\)
\(c=3(16)-29\)
\(\boxed{c=19}\)
Answer:
1. x=16, a=17, b=17, c=19
2. k=-2
Step-by-step explanation:
1.
We can set up an equation where all the labeled sides add up to 53, and then find x:
(2x-15)+(x+1)+(3x-29)=53
6x-43=53
6x=96
x=16
Now that we know x, we can plug it back in to the expressions of the triangles to find their side lengths:
a=2(16)-15=17
b=16+1=17
c=3(16)-29=19
2.
Reminder: the slope of a line is its change in y over its change in x. We can then set up an equation:
\(\frac{2-k}{k-(-3)}=4\\\frac{2-k}{k+3}=4\\2-k=4k+12\\5k=-10\\k=-2\)
Related Questions
A 60 ounce glass bottle of juice sells for $4.20 while a 1.5 liter of the same juice sells in a plastic bottle for $3.06. Compare the unit prices of the juice for the two containers. (1 liter is approximately 34 ounces)
Answers
The answer is letter b. $4.20 / 60 ounce is the rate for the glass bottle while $3.06 / 51 ounces is the rate for the plastic one. Simplified, the glass bottle is $0.07 / ounce while the plastic bottle is $0.06 / ounce.
subscript indices must be either positive integers or logicals:T/F
Answers
Therefore, subscript indices must be either positive integers or logical. True
Explanation: The statement "subscript indices must be either positive integers or logicals" is true. Subscript indices are used to identify elements in an array. A positive integer subscript identifies a particular element in an array, while a logical subscript identifies a subset of elements based on a logical condition. For example, if we have an array A, then A(1) would identify the first element of the array, while A(A > 0) would identify all elements in the array that are greater than zero. Subscript indices cannot be negative or non-integer values.
Therefore, subscript indices must be either positive integers or logical. True
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Amelia is teaching five courses of Introductory Statistics. She has calculated the mean for each class (see table below). What is the overall mean across all five courses? (10 points)
Class 1
Class 2
Class 3
Class 4
Class 5
Mean
75
80
45
77
81
Class size
22
30
25
21
22
Fiona is interest in investigating happiness and animal ownership among all of her current graduate students (Hint: N). Use the table below to answer both questions 3 and 4.
Happiness Level
Number of Animals Owned
1
0
1
2
5
3
3
4
2
4
5
0
5
7
5
6
3
1
7
9
2
Answers
The overall mean across all five courses is 71.6 and the mean number of animals owned per graduate student is 36.7.
The overall mean across all five courses can be calculated by taking the sum of the individual class means and dividing it by the total number of classes.
Let's calculate the overall mean:
Class 1 mean = 75
Class 2 mean = 80
Class 3 mean = 45
Class 4 mean = 77
Class 5 mean = 81
Overall mean = (75 + 80 + 45 + 77 + 81) / 5 = 358 / 5 = 71.6
Therefore, the overall mean across all five courses is 71.6.
For Fiona's investigation, we need to find the total number of graduate students (N) and the mean number of animals owned per student.
To find the total number of graduate students, we sum up the number of animals owned:
Number of Animals Owned: 10 + 12 + 53 + 42 + 45 + 57 + 56 + 31 + 79 + 2 = 367
Hence, N = 367, representing the total number of graduate students.
To find the mean number of animals owned per student, we divide the total number of animals owned by the number of students:
Mean number of animals owned per student = Total number of animals owned / N = 367 / 10 = 36.7
Therefore, the mean number of animals owned per graduate student is 36.7.
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A 5-card poker hand is said to be a full house if it consists of 3 cards of the same denomination and 2 other cards of the same denomination (dierent from the rst denomination). Thus, one kind of full house is three of a kind plus a pair. What is the probability that one is dealt a full house
Answers
To calculate the probability of being dealt a full house in a 5-card poker hand, we need to determine the number of favorable outcomes (full house hands) and the total number of possible outcomes (all possible 5-card hands).
A full house consists of 3 cards of the same denomination (three of a kind) and 2 cards of another denomination (a pair). There are 13 denominations in a standard deck of cards (Ace, 2, 3, ..., 10, Jack, Queen, King), and for each denomination, there are 4 cards (one in each suit).
To calculate the number of full house hands, we can consider choosing the denomination for the three of a kind (13 choices) and then choosing the denomination for the pair (12 choices since it must be different from the first denomination).
For the three chosen denominations, we choose 3 suits for the three of a kind (4 choices each) and 2 suits for the pair (4 choices each).
The total number of possible 5-card hands is calculated using the combination formula: C(52, 5) = 2,598,960.
Therefore, the probability of being dealt a full house is:
P(full house) = (13 * 12 * C(4, 3) * C(4, 2)) / C(52, 5)
Calculating this expression gives the probability of being dealt a full house in a 5-card poker hand.
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Is for the next 2 min please help
Answers
Answer:
Step-by-step explanation: 44/59 = 0.74576271186 so that means the answer is around 74.5% or 74.6%
A rectangle is to be inscribed in a semicircle of radius r cm. If the height of the rectangle is h, write an expression in terms of r and h for the Area and Perimeter of the rectangle. What dimensions of the rectangle yield the maximum Area?
Answers
The required expression are A = l * h = 2 * h * \(\sqrt(r^2 - h^2)\) , 2 * (2 * \(\sqrt(r^2 - h^2)\) + h).
How to go through this problem of rectangle?A rectangle inscribed in a semicircle of radius r cm will have its sides parallel to the diameter of the semicircle, with one side coinciding with the diameter and the other side forming a chord of the circle.
Let the length of the rectangle be l cm. Then, the height of the rectangle h and the radius of the semicircle r form a right triangle with hypotenuse r and legs h and l/2. By the Pythagorean theorem, we have:
According to question:r^2 = h^2 + (l/2)^2
Expanding and solving for l, we have:
l = 2 √(r^2 - h^2)
The area A of the rectangle can be found by multiplying the length and height:
A = l * h = 2 * h * \(\sqrt(r^2 - h^2)\)
The perimeter P of the rectangle can be found by adding up the lengths of the four sides:
P = 2l + 2h = 2 * (2 * \(\sqrt(r^2 - h^2)\) + h)
To find the dimensions that yield the maximum area, we can differentiate the expression for A with respect to h and set the derivative equal to zero:
dA/dh = 2 * \(\sqrt(r^2 - h^2)\) - 2 * h^2 / \(\sqrt(r^2 - h^2)\)= 0
Solving for h, we have:
h = r / \(\sqrt(2)\)
Substituting this value of h back into the expression for l, we have:
l = 2 * \(\sqrt(r^2 - (r / \sqrt(2))^2) = 2 * r / \sqrt(2)\)
So the dimensions that yield the maximum area are a length of 2r/sqrt(2) cm and a height of r/sqrt(2) cm. The maximum area is given by:
A = 2 * (r / \(\sqrt(2)) * r / \sqrt(2)\) =r²/√2.
A = r²/√2
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Suppose X is normally distributed with mean 5 and standard deviation 0.4. We find P(X ≤ Xo) = P(Z ≤ 1.3). What is the value of Xo? 5.52 0.52 -5.25 55.2%
Answers
X is normally distributed with mean 5 and standard deviation 0.4. The value of Xo is 5.52.
To find the value of Xo, we need to convert the given probability to a z-score using the standard normal distribution.
The z-score formula is given by:
z = (X - μ) / σ
Where:
X is the observed value
μ is the mean of the distribution
σ is the standard deviation of the distribution
In this case, the mean (μ) is 5 and the standard deviation (σ) is 0.4. We are given that P(X ≤ Xo) is equivalent to P(Z ≤ 1.3), which means we need to find the value of Xo that corresponds to a z-score of 1.3.
To find the value of Xo, we rearrange the formula:
Xo = z * σ + μ
Plugging in the values, we have:
Xo = 1.3 * 0.4 + 5
Xo = 0.52 + 5
Xo = 5.52
Therefore, the value of Xo is 5.52.
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HELP WILL MARK AS BRAINLIEST!!!
MAGIC SQUARE HELP PLEASE
Answers
Answer:
Top Middle: 2/10 or 1/5 or 4/20
Bottom right: 2/20 or 1/10
Middle right: 2/10 or 1/5
Middle Middle: 7/40
Jessica can finish her task for 2 hours and Joel can finish his task twice as fast as Jessica. Would it be better if they would do the task together? How long would it take if they would work together
Answers
It will be better if they both work together as they will take only 0.67 hours together. This question can be solved using the basic unitary method.
Given that, Jessica can finish her task in 2 hours. And, Joel can finish his task twice as fast as Jessica. This means that Joel can finish his task in 1 hour. Hence, we need to determine if it would be better if they would do the task together and how long would it take if they work together. To calculate the same, we can use the unitary method.
⇒ rate of work = work done/time taken
For Jessica, the rate of work = 1/2 work done per hour
For Joel, the rate of work = 1/1 work done per hour
If both work together, the rate of work = 1/2 + 1
⇒ 1/time = 3/2 ⇒ time=2/3 hours = 0.67 hours
⇒ Hence, the time taken when both work together is 0.67 hours.
Therefore, it will be better if they both work together as it would take only 0.67 hours together which is less than the time taken when they work individually.
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The temperature at 8 a.m. is 3.3 °C. At 4 p.m., the temperature is 7.22 °C.
What is the change in temperature from 8 a.m. to 4 p.m.?
Answers
Answer:
i believe its 3.92°C
Step-by-step explanation:
all I did was subtract the two numbers
My school's debate club has 12 members. How many ways are there to pick two groups of two club members to debate against each other, if no one can be part of both groups?
Answers
Answer: Or you could make six groups of 2 so that way no one is on the same team.
Step-by-step explanation: I hope I'm explaining this right because I don't fully get your question ;)
Fourth Question: Consider the following primal problem: max z = x + 3y s.t. x+y≤ 10, Use the complementary 2x + 3y ≤ 20, x,y ≥ 0, slakness theorem to compute the solution of the dual problem. Gr
Answers
The problem is to maximize the objective function z = x + 3y, subject to constraint x + y ≤ 10, with additional constraints 2x + 3y ≤ 20 and x, y ≥ 0. using the slackness theorem 1st convert the primal problem to dual form
To solve the dual problem, we first convert the primal problem to its dual form. The dual problem involves finding the minimum of a new objective function subject to constraints derived from the primal problem.
The primal problem has a single constraint: x + y ≤ 10. The dual problem will have a dual variable for each primal constraint. In this case, we have a single primal constraint, so the dual problem will have a single dual variable, denoted by λ.The objective function in the dual problem is to minimize the expression 10λ, which corresponds to the primal constraint x + y ≤ 10.
Next, we analyze the complementary slackness conditions. According to the slackness theorem, if a primal variable is positive, then the corresponding dual constraint will be binding (i.e., the dual variable will be positive). Conversely, if a dual variable is positive, then the corresponding primal constraint will be binding (i.e., the primal variable will be positive).
In this case, the primal variables are x and y, and the dual constraint is 2x + 3y ≤ 20. From the complementary slackness conditions, if x > 0, then the dual constraint 2x + 3y ≤ 20 is binding, and the dual variable λ > 0. Similarly, if y > 0, then the dual constraint is binding, and λ > 0.
By analyzing the primal problem and the complementary slackness conditions, we can determine the solution of the dual problem.
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IN-TEXT EXERCISE 14.5
The market demand function for corn is Qᵈ=15−2P and the market supply function is Qˢ=5P−6, both quantities measured in billions of bushels per year. What are the aggregate surplus, consumer surplus, and producer surplus at the competitive equilibrium?
goods she consumes iess ner expendrure on those goods. Aggregate consumer surplus is the sum of mdridual consumers surptuses, which equals the sum of consumers' total willingness to pay less their total expenditure. Where doing so does not create confusion, we'll call this concept simply the consumer surplus.
We can use the market demand curve to measure consumer surplus. (C) Figure 14.18(b) (page 502) shows the consumer surplus in the competitive equilibrium of the corn market. Total expenditure equals the area of rectangle ABCD (it's $25 billion, the equilibrium price of $2.50, times the total amount of corn bought, 10 billion bushels). Since consumer surplus is the difference between the total willingness to pay. measured by the area under the market demand curve up to 10 billion bushels, and the total expenditure, each year it equals the area of the blue-shaded triangle, $25 billion.
In 1 Section 9.5, we introduced the notion of a firm's producer surplus, equal to the firm's total revenue less its avoidable cost. (The firm's profit equals its producer surplus less its sunk costs.) Aggregate producer surplus equals the sum of the individual firms' producer surpluses, which equals the sum of firms' revenues less their avoidable costs. Where doing so does not create confusion, we'll refer to this concept simply as preducer surplus. [4.
Figure 14.18(b) shows how to use the market supply curve to measure the producer surplus in the equilibrium of the corn market. Total revenue, which is the same as the total expenditure by consumers, is the area of the rectangle ABCD. Since producer surplus is the difference between firms' revenue and their avoidable costs, which equal the area under the market supply curve up to 10 billion bushels. each year it equals the area of the yellow-shaded triangle, $10 billion.
Comparing Figures 14.18(a) and ( ) (b), we can see that the green-shaded area in Figure 14.18(a) equals the sum of the blue- and yellow-shaded areas in Figure 14.18(b), which represent consumer surplus and producer surplus, respectively. So:
Aggregate surplus = Consumer surplus + Producer surplus (9)
Formula (3) shows that aggregate surplus, society's total net benefit, is composed of the piece consumers get (consumer surplus) plus the piece that firms get (producer surplus). 15 When we study government intervention into markets in 10 Chapter 15. however, we'll also need to take into account the piece that government gets. Nonetheless, our ability to use market demand and supply curves to measure consumer and producer surplus will prove very helpful.
Answers
In this problem, the market demand function for corn is Qd = 15 - 2P and the market supply function is Qs = 5P - 6, both quantities measured in billions of bushels per year.Aggregate Surplus:The equilibrium occurs at the point where Qd = Qs. Equating these two we get,15 - 2P = 5P - 6Solving for P, P = $2.50.
Qd = 15 - 2(2.50) = 10 billion bushels and Qs = 5(2.50) - 6 = 7.5 billion bushels.Aggregate surplus = Total willingness to pay - Total expenditureAggregate surplus = (1/2) × P × Q - Total expenditureAt equilibrium, Total expenditure is the area of the rectangle ABCD, which is $25 billion.Aggregate surplus = (1/2) × P × Q - Total expenditure = 12.5 - 25 = -$12.5 billionConsumer Surplus:Consumer surplus is the difference between the total willingness to pay measured by the area under the market demand curve up to 10 billion bushels and the total expenditure.Consumer surplus is the blue shaded triangle.
Producer surplus is the yellow shaded triangle.Producer surplus = (1/2) × (2.50 - 0) × 7.5 = $9.375 billion Comparing Figures 14.18(a) and (b), we can see that the green shaded area in Figure 14.18(a) equals the sum of the blue and yellow shaded areas in Figure 14.18(b), which represent consumer surplus and producer surplus, respectively. .
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Which question can be answered by finding 3 1/2÷1/4
A.You have 3 1/2 meters of ribbon and use 1/4 meter. How much ribbon is remaining?
B.How much is 1/4 of a 3/1/2-meter long piece of ribbon?
C.How many 1/4-meter long pieces of ribbon are needed to have a total of 3 1/2 meters of ribbon?
Answers
Answer: Choice C.
How many 1/4-meter long pieces of ribbon are needed to have a total of 3 1/2 meters of ribbon.
==========================================================
Explanation:
Let's consider a similar problem without the fractions.
Let's say you want to know how many 2 meter lengths of ribbon you can cut from an overall length of 24 meters. That would be 24 ÷ 2 = 12 pieces total.
So we divide the two values (large ÷ small)
The same idea applies to this problem as well. The larger amount (3 & 1/2 meters) is what we cut up, and each slice is 1/4 of a meter. To find the number of pieces, we would compute 3 1/2÷1/4
Note: it might help to convert the mixed number 3 & 1/2 to the improper fraction 7/2
Answer:
znvipahgvahgv
Step-by-step explanation:
John sold 32 poster prints of his artwork in September for a total of $126. In October, he sold 48 prints of his artwork for $240. If the relationship between the number of poster prints and total earnings is linear, what was the cost per print expressed as a slope(# of posters sold, $posters sold for)?(complete sentence answer
Answers
Given:
In September, John sold 32 prints of his artwork for $126.
In October, he sold 48 prints of his artwork for $240.
To find:
The cost per print expressed as a slope.
Solution:
Let y be the cost of x prints.
The relationship between the number of poster prints and total earnings is linear.
In September, John sold 32 prints of his artwork for $126. So, the line passes through (32,126).
In October, he sold 48 prints of his artwork for $240. So, the line passes through (48,240).
Now, the slope of the line is
\(m=\dfrac{y_2-y_1}{x_2-x_1}\)
\(m=\dfrac{240-126}{48-32}\)
\(m=\dfrac{114}{16}\)
\(m=7.125\)
The slope of the linear function 7.125.
Therefore, the cost of per print is $7.125.
Compare square root of one hundred seventy and one hundred six eighths using <, >, or =.
square root of one hundred seventy is greater than one hundred six eighths
square root of one hundred seventy is equal to one hundred six eighths
one hundred six eighths is less than square root of one hundred seventy
one hundred six eighths is greater than square root of one hundred seventy
Answers
Square root of one hundred and seventy is greater than square root of one hundred and sixty eight.
What is a perfect square number ?A perfect square number is a number which when taken square root comes out as an integer.Every number which is not a perfect square when taken square root of it is irrational number.We can obtain square root of a perfect square number by prime factorisation method.
Given we have to compare \(\sqrt{170}\) and \(\sqrt{168}\).
We know that if the square roots are not given then we have easily concluded that 170 > 168.Same in the case of square root:
\(\sqrt{170} > \sqrt{168}\).
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34. Michele is hiking and notices that some of the mountains resemble parabolas. If the following functions describe shapes of mountains, which of the following mountains would have the steepest slope? F. H. Mountain D: y--**+5 Mountain C: y=-**+5 Mountain A: y=-**+5 L. Mountain B: y=-** +5 35. Approximately 9 out of 100 people are left handed. Out of a population of 1740 people, how many are likely to be left handed? A. 139 C. 174 B. 193 D. 157 36. What is the x-value for the solution to the system of equations below? (2x+y=8 (-4x-y=-14 H. 3 G-3 I. 2 37. Which represents the solutions of 21 -5 <-17 A. X <-2 AND > 2 C. x > 2 OR > -2 B. X-2 AND X 2 D. > 2 ORX <-2 F. 4
Answers
The mountain with the steepest slope would be Mountain H, described by the function y = -** + 5.
To determine which mountain has the steepest slope, we need to look at the coefficient of the quadratic term in the function describing each mountain. The higher the coefficient, the steeper the slope.
Among the given options, Mountain H is described by the function y = -** + 5. Since the coefficient of the quadratic term is negative, the parabolic shape opens downwards, indicating a steep slope. Comparing it to the other options where the coefficient is not negative, Mountain H has the steepest slope.
Moving on to the next question:
Approximately 9 out of 100 people are left-handed. To calculate the number of left-handed individuals in a population of 1740 people, we can multiply the percentage by the total population:
Number of left-handed individuals = 9/100 * 1740 = 156.6
Rounding to the nearest whole number, we find that approximately 157 people are likely to be left-handed in a population of 1740 individuals.
As for the third question, it seems that the given system of equations is missing, so it is not possible to determine the x-value for the solution.
Finally, in question 37, the inequality 21 - 5 < -17 can be simplified to 16 < -17, which is not true. Therefore, none of the given answer choices represents the solutions to the inequality.
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Marcus is buying a car. He is borrowing 10,000 from the bank at a rate of 9% for 5 years. At the end of 5 years, how much interest did Marcus pay?
Answers
Answer:
6.78
Step-by-step explanation:
What is 5-(-7) I neeed to know
Answers
Answer:
5-(-7)
Step-by-step explanation:
It will be positive 12
Answer:
12
Step-by-step explanation:
5 - (-7)
5 + 7
12
Why are factorial designs useful in testing theories?
a. They allow researchers to explore the construct validity of a theory.
b. Results from factorial designs are typically straightforward and easy to interpret.
c. They allow researchers to understand the nuances of how variables interact.
d. Results from factorial designs are always intuitive.
Answers
Factorial design are useful in testing theories because they enable researchers to investigate a theory's construct validity. so the correct answer is option (a).
What is factorial designs?A key technique for identifying the impact of numerous variables on a response is the factorial design. Traditionally, experiments are planned to ascertain how one variable affects just one response.
What is testing theories?The corpus of knowledge supporting the analysis and application of test results. The definition and measurement of reliability are of primary relevance. Classical test theory, generalizability theory, and item response theory are examples of theoretical frameworks.
a) They enable academics to investigate a theory's construct validity.
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A square has vertices at (1,1), and (2, -1). Where are the two vertices located? How do you know you have created a square?
Answers
If you graph the point
(1,1)
and
(2,-1)
you see this. Shown below:
f(x) = x2 + 2x-5
g(x) = -3x2 - 4x + 1
What is f(x) - g(x)?
Answer choices: A. 2x² – 2x - 4
B. -2x² + 6x-6
c. 4x²
- 2x - 4
D. 4x²+6x-6
Answers
Answer:
Step-by-step explanation: the answer is d cause when you are in this question for a long time just give up or guess your welcome .
There are six equilateral triangles in a regular
O A. square
O B. polygon
O C. hexagon
O D. octagon
Answers
There are six equilateral triangles in a regular hexagon.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
A regular hexagon has six equal sides and six equal angles.
It can be divided into six equilateral triangles by drawing lines connecting the center of the hexagon to each vertex.
Each of these triangles has the same side length and angle measures.
A square has four sides and four right angles, but it is not a regular polygon because it does not have equal side lengths.
A polygon is a general term for a shape with three or more straight sides, but it does not refer to any specific shape or properties.
An octagon has eight sides and eight angles, but it cannot be divided into equilateral triangles because the angle measures are not all equal.
Thus,
There are six equilateral triangles in a regular hexagon.
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Solve the following puzzle
NEED ASAP
Answers
=10
=4
?= 55
Hope this helps
Answer:
15(bananas)
Step-by-step explanation:
Each:
1 ×15(bananas)
1 ×10(cherries)
1 ×4(apple)
So,
15+10×4 =55
19. There are 3 roses in a bouquet of assorted flowers. The roses represent 5 15% of the bouquet. How many flowers are in the bouquet? flowers (do not enter label)
Answers
The larger the , Group of answer choices the larger the differences between the expected frequencies. the less likely our data represent . the more likely our data represent the model. the less likely our data represent the model.
Answers
The larger the group of answer choices, the less likely our data represent the model due to larger differences between the expected frequencies.
Based on the terms provided, we want to know the relationship between the size of a group of answer choices, differences between expected frequencies, and how likely the data represents a model.
The larger the group of answer choices, the larger the differences between the expected frequencies, and the less likely our data represent the model.
This is because a larger group of answer choices increases the complexity of the dataset, which may lead to more significant deviations from the expected frequencies, ultimately making it less likely that the data represents the given model.
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Javier worked out the following on his math homework: “What equation best represents the relationship between x and y in the graph?" Javier’s answer was y= -4x - 2. Is he correct? If not, explain what he did wrong AND give the correct answer. *
12 points
Answers
Answer:yes he is correct
Step-by-step explanation: if you go on a certain site and you put in the equation, you press enter then it will pop up with what you want to do. Press graph, then you can compare the graphs and if it is the same you know it is correct
The number of home team fans was seven more than four times the number of visiting team fans at a softball game. If there were 142 more home team fans than visiting team fans, how many total fans were at the game?
Please include work!
Answers
From the problem, we know that:
H = 4V + 7 (the number of home team fans was seven more than four times the number of visiting team fans)
H = V + 142 (there were 142 more home team fans than visiting team fans)
We can use substitution to solve for one of the variables. Substituting the first equation into the second equation, we get:
4V + 7 = V + 142
Simplifying this equation, we get:
3V = 135
V = 45
Now that we know the number of visiting team fans, we can use the first equation to solve for the number of home team fans:
H = 4V + 7 = 4(45) + 7 = 187
Therefore, there were a total of:
H + V = 187 + 45 = 232
fans at the game.
Medical researchers have determined that for exercise to be beneficial, a person’s desirable heart rate, r, in beats per minute, can be approximated by the formulas r = 143 minus 0.65 a for women r = 165 minus 0.75 a for men, where a represents the person’s age. if the desirable heart rate for a man is 135 beats per minute, how old is he? a. 22.5 years old b. 40 years old c. 45 years old d. 42.5 years old
Answers
Age will be 40 years old.
R, in beats per minute, can be approximated by the formulas, where a represents the person's age.
where R= 143 - 0.65a for women.... (1)
and R= 165 - 0.75a for men,..... (2)
So by implementing these two equation we get a = 40
If the sum of ages is X and Y, and the ratio of their ages is p:q, then the age of Y can be calculated using the formula shown below: Y's age = Y's ratio/Sum of ratios x sum of ages The age dependency ratio is the ratio of dependents (people under the age of 15 or over the age of 64) to the working-age population (people between the ages of 15 and 64). The proportion of dependents per 100 working-age population is shown in the data.
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The midpoint of line segment GH with endpoints G(5,-2) and H(17,8) is:
(11,5)
O (-12, -10)
0 (0,0)
O (11,3)
Answers
Answer:
11,3
Step-by-step explanation: basic midpoint formula