Using the linear relationship the height of the candle after 17 hours is 22.3 cm.
As it is given that the height of the candle is linear to the amount of time. The linear relationship is the relationship between two variables such that it follows a straight line.
Now, let the time be on the x-axis and the y-axis is the height of the candle. therefore, the slope of the linear relationship can be represented as,
(x₁, y₁) = (7, 23.3)
(x₂, y₂) = (23, 21.7)
Since we know the two points of the linear relationship, therefore, the slope can be written as,
m = (y₂ - y₁)/(x₂ - x₁)
m = (21.7 - 23.3)/(23 - 7)
m = -1.6/16
m = -1/10
Now, the equation of the linear relationship can be written as,
y - y₁ = m( x - x₁)
y - 23.3 = (-1/10)(x - 7)
10y - 233 = -x + 7
x + 10 y = 240 --(1)
We are asked to determine the height of the candle after 17 hours. So, put x = 17 and find y
17 + 10y = 240
10y = 223
y = 22.3
Hence, the height of the candle after 17 hours is 22.3cm.
To learn more about linear relationships here:
brainly.com/question/849418
#SPJ4
based on the scatterplots, which type of model is most suitable for estimating the stock price? a power model is suitable because the scatterplot of log(weeks) against log(stock price) shows a curved relationship. a linear model is suitable because the scatterplot of weeks against log(stock price) shows a strong linear relationship. an exponential model is suitable because the scatterplot of log(weeks) against log(stock price) shows a curved relationship. an exponential model is suitable because the scatterplot of weeks against log(stock price) shows a strong linear relationship.
Based on the scatterplots provided, the answer would be A. A power model is suitable because the scatterplot of log(weeks) against log(stock price) shows a curved relationship.
In the scatterplots of log(weeks) against log(stock price), we can see that the relationship between the two variables is not linear, but rather appears to be curved. This suggests that a power model may be more appropriate, since this type of model can capture non-linear relationships.
A linear model is not suitable in this case, as the relationship between weeks and stock price does not appear to be linear. While the scatterplot of weeks against log(stock price) shows a strong linear relationship, this plot is not as appropriate for estimating the stock price as the plot of log(weeks) against log(stock price).
An exponential model may also be appropriate for capturing non-linear relationships, but the plot of weeks against log(stock price) does not show a strong linear relationship, so it is less appropriate than the plot of log(weeks) against log(stock price).
Overall, based on the provided scatterplots, a power model is the most suitable for estimating the stock price.
To learn more about scatterplots please click on below link.
https://brainly.com/question/30017306
#SPJ4
Based on the scatterplots, which type of model is most suitable for estimating the stock price?
A. A power model is suitable because the scatterplot of log(weeks) against log(stock price) shows a curved relationship.
B. A linear model is suitable because the scatterplot of weeks against log(stock price) shows a strong linear relationship.
C. An exponential model is suitable because the scatterplot of log(weeks) against log(stock price) shows a curved relationship.
D. An exponential model is suitable because the scatterplot of weeks against log(stock price) shows a strong linear relationship.
in a large school, it was found that 66% of students are taking a math class, 74% of student are taking an english class, and 45% of students are taking both. find the probability that a randomly selected student is taking a math class or an english class. write your answer as a decimal, and round to 2 decimal places if necessary.
The answer is 1.95 or 1.95 = 1.95. The probability that a randomly selected student is taking a math class or an English class can be found using the formula for the union of two events:
P(A or B) = P(A) + P(B) - P(A and B)
where A is the event of taking a math class and B is the event of taking an English class.
Given that 66% of students are taking a math class, P(A) = 0.66. Given that 74% of students are taking an English class, P(B) = 0.74. Given that 45% of students are taking both, P(A and B) = 0.45.
Therefore, the probability that a randomly selected student is taking a math class or an English class can be calculated as follows:
P(A or B) = 0.66 + 0.74 - 0.45 = 1.95
Rounding to 2 decimal places, the answer is 1.95 or 1.95 = 1.95.
To learn more about probability please click on below link.
https://brainly.com/question/30034780
#SPJ4
Grapes on sale for 0.97 per pound. if George wants to purchase 4 pounds of grapes how much will he spend?
Answer:
3.88
Step-by-step explanation:
0.97×4 = 3.88 just multiply
Answer: 3.88
So the grapes on the sale is 0.97 per pound and he wants to purchase 4 pounds. In this situation were going to multiply in order to find how many pounds of grape he spent.
0.97*4=3.88. So he spends 3.88 pounds of grapes.
Step-by-step explanation: hope this helps!! :)) Mark me brainliest! :))
how small should the probability of a defective rivet be to ensure that only 11% of all seams need reworking?
The probability of a defective rivet be to ensure that only 11% of all seams need reworking must be less than or equal to 11%.
Let's say the probability of a defective rivet is p. The probability of k defective rivets in n seams is given by the binomial distribution:
P(k) = (n choose k) * p^k * (1-p)^(n-k)
where (n choose k) is the number of combinations of n items taken k at a time.
We want to find the smallest value of p such that P(k) <= 0.11 for k = 0, 1, 2, ..., n. In other words, we want the smallest p such that the probability of having 0 to n defective rivets is less than or equal to 11%.
To learn more about probability click on,
https://brainly.com/question/16968085
#SPJ4
15) show all ur steps equation
A graph of the solution to this system of equations on a coordinate plane is shown in the image attached below.
This system of equations has: A. one solution.
How to graph the solution to this system of equations?In order to to graph the solution to the given system of equations on a coordinate plane, we would use an online graphing calculator to plot the given system of equations and then take note of the point of intersection;
7x - 6y = -12 ......equation 1.
x - y = -1 ......equation 2.
Based on the graph (see attachment), we can logically deduce that the solution to the given system of equations is the point of intersection of the lines on the graph representing each of them, which lies in Quadrant III and it is given by the ordered pair (-6, -5).
Read more on graphs here: brainly.com/question/4546414
#SPJ1
At the family picnic, 7 people each drank 2 quarts of juice. How many gallons of juice did they drink altogether?
Answer:
3.5 gallons
Step-by-step explanation:
A gallon is 4 quarts
7*2= 14 quarts
14/4 = 3.5
a person stands 15 1515 meters east of an intersection and watches a car driving towards the intersection from the north at 1 11 meter per second. at a certain instant, the car is 8 88 meters from the intersection. what is the rate of change of the distance between the car and the person at that instant (in meters per second)?
The rate of change of the distance among the car and the person at that instant is 110,98 m/s.
How do we find the rate of change of distance between two points?To find the average rate of change, we need to divide the change in y (output) by the change in x (input). And visually, all we are doing is calculating the slope of the secant line passing among two points. Finding the average rate of change is particularly useful for determining changes in measurable values like average speed or average velocity.
In this case, consider A as the point where a person is, the intersection (o) and the car from the north form a right triangle. So, based on Pythagoras Theorem:
L^2 = x^2 + y^2
where:
L is the distance between the person and the car.
x is constant since the person does not move.
Now, taking derivatives with respect to time, we will have:
2 * L * dL/dt = 2 * y * dy/dt (1)
where:
x = 15 mts
y = 888
dy/dt = 111 m/s
Now, substitute all the values into the formula:
L^2 = x^2 + y^2
L = √ (15)^2 + (888)^2
L = √ 225 + 788544
L = 888,13 m
So, when we apply to the (1) equation, it will be:
2 * L * dL/dt = 2 * 888 * 111
dL/dt = (888) * 111 / 888,13
dL/dt = 0,99 * 111
dL/dt = 110,98 m/s
Hence, the rate of change of the distance is 110,98 m/s.
Learn more rate of change of distance at: https://brainly.com/question/24269378
#SPJ4
Math please help. Match the correlation coefficient with the correct association
The correct association for each correlation coefficient is as follows:
-0.86: Strong association, 0.52: Moderate association, 0.93: Strong association, -0.66: Moderate association, -0.01: Weak association.
What do you mean by Correlation?Correlation is a statistical concept that measures the relationship between two or more variables. It is a measure of the degree of association between variables, which can range from -1 to 1. If the correlation between two variables is strong and positive, this means that as one variable increases, the other variable also increases. Conversely, if the correlation is strong and negative, then as one variable increases, the other variable decreases. A correlation of 0 means that there is no association between the variables.
In order to calculate the correlation coefficient, statistical methods such as Pearson's correlation or Spearman's rank correlation are used. The correlation coefficient is a single number that indicates the strength and direction of the relationship between the variables. It is important to note that correlation does not imply causation, and it is possible for two variables to be highly correlated without any causal relationship between them.
The correlation coefficient represents the strength of the relationship between two variables. A positive correlation coefficient implies that the two variables have a positive link, whereas a negative correlation value shows that the two variables have a negative association. The size of the correlation coefficient shows its strength: a coefficient of 0.86 suggests a high relationship between the two variables, whilst a coefficient of 0.52 indicates a moderate relationship. A coefficient of 0.93 suggests a stronger relationship, whilst a value of -0.66 shows a somewhat negative relationship between the two variables. Finally, a correlation value of -0.01 shows that the two variables have a very weak relationship.
To know more about association visit:
brainly.com/question/11351404
#SPJ1
I need help with this question for Geometry.
The measure of side FD is given as follows:
FD = 81.5.
What are similar triangles?Similar triangles are triangles that share these two features presented as follows:
Congruent angle measures.Proportional side lengths.Hence the proportional relationship measuring the side lengths is given as follows:
FD/23 = 39/11.
Applying cross multiplication, the measure of side FD is obtained as follows:
11FD = 39 x 23
FD = 39 x 23/11
FD = 81.5. (rounded to the nearest tenth).
More can be learned about similar triangles at brainly.com/question/14285697
#SPJ1
Jen and Steph go out to dinner. The check for dinner comes to $39.95. If they want to leave a 25% tip for the server, how much is the final bill?
Answer:
$49.93
Step-by-step explanation:
Solve for x in the diagram below
dr. huang required half of a group of healthy volunteers to study a reading passage for 1 hour. the other half of the participants studied for 15 minutes. dr. huang then administered a test of participants' memory of details from the passage. what was the dependent variable?
The correct answer is results of the memory test.
Given that,
Dr. Huang asked the healthy volunteers in a group to read a chapter for an hour. The other half of the attendees spent 15 minutes studying. Dr. Huang next asked participants to recall specifics from the paragraph in a test.
To find :what was the dependent variable ?
It is something on which other elements depend. The test score for a instance, may be the dependent variable because it could vary based on a number of variables, including how much you studied, how much sleep you got the night before the test, and even how hungry you were.
Therefore, the correct answer is results of the memory test.
To learn more about dependent variable click here :
brainly.com/question/967776
#SPJ4
suppose you would like to determine if the mean score for the first round of a golf tournament event is significantly different than the mean score for the fourth and final round. does the pressure of playing in the final round cause scores to go up?
We are unable to reject the null hypothesis since the p-value is bigger than the level of significance of 0.10. The pressure of playing in the final round is 0.10 < P < 0.20.
The information shows the results from the first and fourth rounds. The level of relevance is
α = 0.10
The Null Hypothesis is
H(0) = μ(d)
This indicates that the population mean score for the first round and the fourth round are the same.
Alternative Hypothesis:
H(α): mμ(d) ≠ 0
This indicates that the population score from the first round and the fourth round are different.
The following is the testing procedure:
t = (d - μ(d))/(s(d)/√n)
This can solved using the excel is given as:
0.10 < P < 0.20
We are unable to reject the null hypothesis since the p-value is bigger than the level of significance of 0.10.
To learn more about p-value link is here
brainly.com/question/30078820
#SPJ4
Find pairs of x and y that are solutions to system of inequalities.
Answer:
tyizigxigxhk hkohxoxoxhhxohxkhk oh h kun h kun up up h kun go to
Step-by-step explanation:
igggxixxigggigigghjjejejejjeurieuejejmeje: mr kama left town s at 6:00am and travels at an average speed of 24 km/hr towards R.MMrs.Ronoh left town R to town IS 10 minutes later and arrived at 7:00am .if the distance RS=42km,find,where they met
Mr. Kama and Mrs. Ronoh meet at 26.72 km away from point R.
What is the relative speed between two moving objects?The relative speed is the net speed of two different objects with respect to each other.
If two objects move in the same direction we take the difference between their speeds.
If two objects move in the opposite direction we take the sum of their speeds.
Given, Mr. Kama left town 'S' at 6:00 am and travels at an average speed of 24 km/hr towards 'R',
And Mrs. Ronoh left town R to town IS 10 minutes later and arrived at
7:00 am.
So, The speed of Mrs. Ronoh is 42 km/hr as the distance between RS is
42 km.
Therefore, The point at which they meet is,
= (42/(24 + 42))×42.
= 0.63×42 = 26.72 km from the point 'R' as Mrs. Ronoh is faster.
learn more about relative speeds here :
https://brainly.com/question/16284701
#SPJ1
pleaseeee help quicklyyy
Answer:
Step-by-step explanation:
area of field=1/2(a+b)h
a=12
b=20
h=?
h=pythagoras theorem
a²+b²=c²
a²+8²=17²
a²+64=289
a²=289-64
a²=221
a=√221
a=14.9
area of field=1/2(12+20)14.9
area=238.4m²
£19.75×3=£59.25
Stacy was a stay-at-home mom for most of her adult life. At age 46, she started working outside the home. Each year she earns the maximum number of Social Security
credits. Until what age must she work to qualify to receive Social Security benefits when she retires?
(State your answer in years.)
The number of years is given by the equation T = 10 years
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 number of years to qualify to receive Social Security benefits when Stacy retires be T
Now , the equation will be
The present age of Stacy = 46 years
The maximum number of credits each year = 4 credits
As to earn the social security benefits, she needs to earn 40 credits
So , the number of years = 40 credits / maximum number of credits each year
Substituting the values in the equation , we get
The number of years to qualify to receive Social Security benefits when Stacy retires T = 40/4
On simplifying the equation , we get
The number of years to qualify to receive Social Security benefits when Stacy retires T = 10 years
Hence , the number of years is 10 years
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ1
Seis restado de c es mayor que 24
The given statement in the form of inequality is given as -
c - 6 > 24.
What is an inequality? What are algebraic expressions?An inequality is used to make unequal comparisons between two or more expressions. For example → ax + b > c
In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.
Given is the statement as -
"Six subtracted from c is greater than 24"
We can write the inequality as -
c - 6 > 24
Therefore, the given statement in the form of inequality is given as -
c - 6 > 24.
To solve more questions on inequality, visit the link below-
brainly.com/question/28229665
#SPJ1
{Question in english -
Six subtracted from c is greater than 24}
Complete the chart to find the mean, variance, and standard deviation. Remember to use commas and round numbers to the nearest tenth.
The mean of the data set is 427.5
What is process of obtaining the mean?We know that the mean of the data set as computed is obtained from; 345+340+400+625/ 4= 427.5
To obtain the variance of the data.
We now have to take the difference of the values and square it.
345-427.5 = -82.5
340-427.5 =-87.5
400-427.5 = -27.5
625-427.5 =197.5
Thus;
Variance=σ2 =(-82.5)^2 + (-87.5)^2 + (-27.5)^2+ (197.5)^2 /4
σ2=6806.25+7656.25+756.25+39006.25/4
σ2=13556.25
The variance is 13556.2
For the Standard deviation (S.D) of the data;
σ = √13556.25
σ =116.43
The Standard deviation of the data is 116.4
Learn more about standard deviation : brainly.com/question/23907081
#SPJ1
Given the inputs in the table, which function rule produces the outputs? Input 3 6 9 12 Output 9 15 21 27 NEED HELP ASAP!!
The correct option Input-Output Tables for Function Rules is
f(x)= 2x +3.
Solve the table by using Input-Output Tables for Function Rules:Input (x): 3 6 9 12
Output(f(x)): 9 15 21 27
Give:
Observe the table:
Each pair of numbers in the table is related by the same function rule. That rule is: multiply each input number (x-value) by 2 then add 3 to find each output number (y-value) or f(x). You can use a rule like this to find other values for this function, too.
Now look at how to use a function rule to complete a table.
Input (x) Output (f(x)) Rule : f(x)=2x + 3
3 9 2x3+3= 9
6 15 2x6+3=15
9 21 2x9+3=21
12 27 2x12+3=27
So here we can see by using f(x)=2x + 3, we can find the output.
To know more about function rule , visit:
https://brainly.com/question/21106742
#SPJ1
Pick-M-Up Towing Company charges $40 to hook a car and $1.70 for each mile that it is towed. The table shows the total cost y for x miles towed, which can be represented by a linear equation. Use the table to create a graph that represents the situation. Find the domain, and range, and interpret their meaning in the context of the situation.
Please find attached the graph of the linear equation that represents the situation, created with MS Excel
The domain is; {0, ∞)
The domain is the set of the possible distances, in miles, to which Pick-M-Up Towing Company tows a car
The range is; [40, ∞)
The range is the set of the possible total cost, in dollars, it takes to tow a car
What is a linear equation?A linear equation is an equation that has a straight line graph.
The possible values in the table, obtained from the table in a similar question posted online are presented as follows;
x(miles) [tex]{}[/tex] y(cost)
0 [tex]{}[/tex] $40
5 [tex]{}[/tex] $48.50
10 [tex]{}[/tex] $57.00
The first difference is; 57 - 48.5 = 48.5 - 40 = 8.5
Therefore, the first difference is a constant, the relationship is a linear equation, with a slope, m, which can be found as follows;
m = 8.5/(5 - 0) = 1.7
The equation in point-slope form is therefore;
y - 40 = 1.7·(x - 0)
y = 1.7·x + 40The above equation is in the form of a slope-intercept form of a linear equation, y = m·x + c, where the slope, m = 1.7, and the y-intercept, c = 40
The y-intercept is 40. The meaning of the y-intercept is the amount the towing company charges to hook the car.
The domain is the set of possible x-values, which is the possible distances to which the car is towed.
The domain is therefore; 0 ≤ x < ∞The range, which is the possible output or y-value, is the set of the possible cost to tow the car, which can be presented as follows;
The range is; 40 ≤ y < ∞Learn more about the domain and range of a function here: https://brainly.com/question/10667411
#SPJ1
Exit Alg1: 6-3 MathXL AP Exponential Growth & Decay (22-23)
Compare the investment below to an investment of the same principal at the same rate compounded annually.
principal: $6,000, annual interest: 6%, interest periods: 12, number of years: 17
After 17 years, the investment compounded periodically will be worth $
(Round to two decimal places as needed.)
more than the investment compounded annually.
The investment compounded periodically will be worth $14,054.52, which is $596.10 more than the investment compounded annually.
How to calculate the investment worthTo calculate the future value of the investment compounded periodically, we need to use the formula:
FV = P * (1 + (r / n))^(n * t)
where:
P = $6,000 (principal)
r = 6% (annual interest rate)
n = 12 (number of interest periods per year)
t = 17 (number of years)
Plugging in the values, we get:
FV = $6,000 * (1 + (0.06 / 12))^(12 * 17) = $6,000 * (1 + 0.005)^204
FV = $6,000 * (1.005)^204
FV = $14,054.52
So, the investment compounded periodically will be worth $14,054.52 after 17 years.
To calculate the future value of the investment compounded annually, we use the same formula but with n = 1 (one interest period per year):
FV = $6,000 * (1 + 0.06)^17
FV = $6,000 * (1.06)^17
FV = $13,458.42
So, the investment compounded annually will be worth $13,458.42 after 17 years.
Learn more about compounded annually at:
https://brainly.com/question/24274034
#SPJ1
in how many ways can a photographer at a wedding arrange 6 people in a row from a group of 10 people, where the bride and the groom are among these 10 people, if
There are 363600 ways to arrange 6 people in a row from a group of 10 people, where the bride and the groom are among these 10 people if the bride must be in the picture.
There are 2 possibilities for the position of the bride: either she is first in the row, or she is not first in the row.
If the bride is first in the row, then there are 5 people to choose from for the second person, 4 people to choose from for the third person, and so on, until there is only 1 person left to choose from for the last person in the row. Thus, there are 5! (5 factorial) ways to arrange the 5 people after the bride.
If the bride is not first in the row, then there are 9 people to choose from for the first person, 8 people to choose from for the second person, and so on, until there is only 1 person left to choose from for the last person in the row. Thus, there are 9! (9 factorial) ways to arrange the 9 people before the bride.
Therefore, the total number of ways to arrange the 6 people in a row is 5! + 9! = 720 + 362880 = 363600.
So, in total, there are 363600 ways to arrange 6 people in a row from a group of 10 people, where the bride and the groom are among these 10 people if the bride must be in the picture.
To know more about ways, here
https://brainly.com/question/47446
#SPJ4
--The given question is incomplete; the complete question is
"In how many ways can a photographer at a wedding arrange 6 people in a row from a group of 10 people, where the bride and the groom are among these 10 people if the bride must be in the picture."--
Find the length of side x in simplest radical form with a rational denominator
Answer:
x = 11√2
Step-by-step explanation:
This is a special right triangle. It is marked with a small box in one angle. That is a right angle. So it is a right triangle. It is also marked on two sides with a single hash mark to show that those two sides are the same. This means that the two smaller angles are the same. This is a 45°-45°-90° triangle.
A 45°-45°-90° triangle has a special pattern for knowing the sides of the triangle. One leg is given that it is 11. So the other leg is also 11. Then you could use Pythagorean theorem to find x. But there is a short cut!
Because this is a 45°-45°-90° triangle the hypotenuse (the long side) is:
hypotenuse = leg√2
hypotenuse = 11√2
x = 11√2
This is a handy shortcut, it works for all 45°-45°-90° triangles.
Skyla is trying to order the fractions below. Her first step is to rewrite each fraction with a common denominator. What is the lowest common denominator she could use? 17 20 56 8 15
The lowest common denominator Skyla could use to rewrite the fractions is 280.
What is value?Value is the relative what merit or important of something it can referred to an intangible concept such as a person principle or a tangible object such as rare coin. Will you very widely across culture society individual it can even very within the same individual overtime. Value is often used to describe the worth of something in terms of its usefulness beauty. Will you can also refer to the moral or ethical standard of a person or group.
To get this value, she would need to find the least common multiple of the denominators, which are 17, 20, 56, 8, and 15. To do this, she would list out the prime factors of each denominator and then multiply the highest number of each prime factor together.
17: 1 x 17
20: 2 x 10
56: 2 x 2 x 7
8: 2 x 2 x 2
15: 3 x 5
The highest number of each prime factor is 17, 10, 7, 2, and 5, so the least common multiple of the denominators is 17 x 10 x 7 x 2 x 5, which equals 280. This would be the lowest common denominator she could use to rewrite the fractions.
To know more about value click-
https://brainly.com/question/25184007
#SPJ1
The graph of which equation will pass through points (0,3) and (5,7) ?
HELP pls will mark you the brainliest
An equation for Windy Kite's total cost, y, in terms of the number of kites purchased, x, is y = 2x + 20.
An equation for Kites-R-Fun's total cost, y, in terms of the number of kites purchased, x, is y = 4x + 8.
Based on the table, if the Alaskan customer wants to buy 4 kites, Kites-R-Fun charges the least.
If the Alaskan customer wants to buy 10 kites, Windy kites charges the least.
The solution to the system of equations is (6, 32)
How to write an equation to model this situation?In order to write a linear equation to describe this situation, we would a assign variable to the number of kites purchased and the total cost respectively, and then translate the word problem into a linear equation as follows:
Let the variable x represent the number of kites purchased.Let the variable y represent the total cost.Since Wendy charges $2 per kite and a flat rate of $20 for shipping, a linear equation that models the total cost is given by:
y = 2x + 20
When x = 4, the total cost for Windy kites is given by:
y = 2(4) + 20
y = $28.
When x = 7, the total cost for Windy kites is given by:
y = 2(7) + 20
y = $34.
When x = 10, the total cost for Windy kites is given by:
y = 2(10) + 20
y = $40.
For Kites-R-Fun, a linear equation that models the total cost is given by:
y = 4x + 8
When x = 4, the total cost for Kites-R-Fun is given by:
y = 4(4) + 8
y = $24.
When x = 7, the total cost for Kites-R-Fun is given by:
y = 4(7) + 8
y = $36.
When x = 10, the total cost for Kites-R-Fun is given by:
y = 4(10) + 8
y = $48.
Lastly, we would use an online graphing calculator to plot the system of linear equations as shown in the graph attached below.
Read more on equation here: brainly.com/question/19855458
#SPJ1
If it beats 75 times per minute, how many times does your heart beat in 5 hours?
Answer:
22500
Step-by-step explanation:
This is because 75 x 60 = 4500 (that gives us the beats per hour)
4500 x 5 = 22500 (that gives us the beats per 5 hour)
Answer:
5×60=300mins
1min=75heartbeat
300min=300×75=22500heartbeat
Simplify [tex]ix^{73}[/tex]·[tex]i^48[/tex]
A. [tex]i[/tex]
B. -1
C.[tex]-i[/tex]
D. 1
The simplified form of ix^{73}ix is C. -i−i
What is power rule of exponents?The power rule of exponents states that when you raise a number to a power, and that number is being multiplied by another number raised to the same power, then you can multiply the numbers together and raise the result to the same power.
For example, if you are raising 8 to the third power, and 3 to the third power, then you can multiply the two together and raise the result to the third power (8x3=24; 24^3=13824).
Therefore, by using the power rule of exponents, ix^{73}ix can be simplified to i^48i, which is equal to (-i)(-i) or C. -i−i.
learn more about power rule of exponents: https://brainly.com/question/819893
#SPJ1
given the sets {5, 7, 9}, {1, 11, 4}, {2, 3, 6, 8, 10}, what are the resulting disjoint sets after the operation union(7, 4}?
The resulting disjoint sets after the operation union({7, 4}) would be: {5, 7, 9, 1, 11, 4, 2, 3, 6, 8, 10}.
The union of two sets A and B is denoted by A ∪ B and is defined as the set of all elements that are either in A or in B or in both. Therefore, the resulting disjoint sets after the operation union({7, 4}) would be:
{5, 7, 9, 1, 11, 4, 2, 3, 6, 8, 10}.
To calculate the union, we can use the following formula:
A ∪ B = {x : x ∈ A or x ∈ B}
Therefore, the union of {7, 4} can be calculated as:
{7, 4} ∪ {7, 4} = {x : x ∈ {7, 4} or x ∈ {7, 4}}
= {7, 4}
Therefore, the resulting disjoint sets after the operation union({7, 4}) would be: {5, 7, 9, 1, 11, 4, 2, 3, 6, 8, 10}.
Learn more about disjoint sets here:
https://brainly.com/question/29278472
#SPJ4