The given functions in GeoGebra and determine by analytically checking:
a. function type is [tex]f(x) =\frac{2x^2-4}{x^2-4}[/tex]
b. Domain and range Range (-2, +2).
c. Asymptotes is HA = 2 and VA = ±2
The function y = f( x) is classified into different types of functions, grounded on factors similar as the sphere and range of a function, and the function expression. The functions have a sphere x value that's appertained as input. The sphere value can be a number, angle, numeric, bit.
[tex]f(x) =\frac{2x^2-4}{x^2-4}[/tex]
Functions in mathematics can be compared to the operations of a dealing (soda pop) machine. When you put in a certain quantum of plutocrat, you can elect different types of tonics. also, for functions, we input different figures and we get new figures as the result. sphere and range are the main aspects of functions.
[tex]f(x) =\frac{2x^2-4}{x^2-4}[/tex]
x² = 4
x = ± 2
Range (-2, +2).
An asymptote is a line being approached by a wind but noway touching the wind. i.e., an asymptote is a line to which the graph of a function converges. We generally don't need to draw asymptotes while graphing functions. But graphing them using dotted lines( imaginary lines) makes us take care of the wind not touching the asymptote. Hence, the asymptotes are just imaginary lines.
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Complete question:
Represent the given functions in GeoGebra and determine by analytically checking: a. function type b. Domain and range c. Asymptotes, both vertical and horizontal, if it has them:
DUE TOMORROW PLEASE HELP WELL WRITTEN ANSWERS ONLY!!!!!!
Here is the graph of a function describing the relationship between the height y, in feet, of the tip of a windmill blade and the angle of rotation Θ made by the blade. Describe the windmill.
However, it is important to note that without additional information about the function and the windmill itself, further conclusions about its design and performance cannot be made.
Hi! I'd be happy to help you describe the windmill based on the provided graph.The graph of the function represents the relationship between the height (y) of the tip of a windmill blade and the angle of rotation (Θ) made by the blade. This function is periodic, indicating that the windmill blade follows a repetitive motion as it rotates.
The height of the blade tip varies sinusoidally with respect to the angle of rotation, suggesting that the windmill has a circular or rotational motion. The amplitude of the function gives the length of the windmill blade, while the period of the function represents a full rotation (360 degrees) of the windmill blade.
In summary, the windmill has a rotational motion, with the height of the blade tip following a sinusoidal pattern. The length of the windmill blade and the time it takes to complete a full rotation can be determined by analyzing the amplitude and period of the function.
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rotate 270 degrees…what are the coordinates of B
PLS HELP
Answer:
8;-2
Step-by-step explanation:
8 is the x axis and -2 is the y axis
Answer:
Step-by-step explanation:
if the cycle time is 2 minutes/customer then how many customers are served per hour? multiple choice question. 15 20 30 60
If the cycle time is 2 minutes per customer, 30 customers can be served per hour.
The given cycle time is 2 minutes per customer. To calculate how many customers can be served per hour, we need to calculate the number of minutes in an hour as follows: 60 minutes = 1 hour.
The time taken for each customer is 2 minutes. Therefore, the number of customers that can be served per hour can be calculated as follows:
Number of customers per hour = (60 minutes/hour) ÷ (2 minutes/customer)
Number of customers per hour = 30 customers.
Therefore, the number of customers that can be served per hour is 30, according to the given cycle time of 2 minutes per customer.
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what is the probability that at least 67 out of 100 cars stopped at a roadblock will not be given a ticket? local authorities report that tickets usually are given to 23% of cars stopped
The probability that at least 67 out of 100 cars stopped at a roadblock will not be given a ticket is 2.37.
Given Probability of giving tickets to cars that are stopped = 0.23
Probability of not giving tickets to cars that are stopped = 1 - 0.23 = 0.77
the probability that at least 67 out of 100 cars stopped at a roadblock will not be given a ticket
Here n = 100, p = 0.77, q = 0.23
mean = np = 100*0.77 = 77
standard deviation = [tex](sigma = \sqrt{(100)*(0.77)*(0.23) } = 4.208[/tex]
[tex]P(X\geq 67) = \frac{67 - 77}{4.208}[/tex] = 2.37
P-VALUE is 0.99126 from z-table
Probability is a fundamental concept in mathematics that helps us quantify the likelihood of events occurring and is applicable to a wide range of fields. It is a measure of the uncertainty of an event, expressed as a number between 0 and 1. An event with probability 0 is impossible, while an event with probability 1 is certain.For example, the probability of rolling a six on a fair six-sided die is 1/6, since there is only one favorable outcome out of six possible outcomes.
Probability theory has wide applications in fields such as statistics, finance, engineering, and physics, among others. It is used to model and analyze various phenomena, including weather patterns, stock prices, quantum mechanics, and more.
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Assuming that the true (unknown) variances for nap and coffee reaction times are equal, determine if there sufficient evidence, at the =0. 05
significance level, to conclude that taking a nap promotes faster reaction time than drinking coffee. Again, calculate an appropriate test statistic and save it into variable p2. C. Stat. Round this value to two decimal places. Then calculate the p-value for this test statistic and save it into variable p2. C. P. Round this value to three decimal places
Under the null hypothesis, this test statistic follows a t-distribution with (n nap + n coffee - 2) degrees of freedom and the p-value is less than the significance level of 0.05,
To determine if there is sufficient evidence that taking a nap promotes faster reaction time than drinking coffee, we can perform a two-sample t-test assuming equal variances. The null hypothesis is that there is no difference in the mean reaction times between the nap and coffee groups, while the alternative hypothesis is that the mean reaction time for the nap group is less than the mean reaction time for the coffee group.
Let's assume that we have collected data on reaction times for both the nap and coffee groups, and have calculated their sample means ( X nap and X coffee) and sample standard deviations (snap and s coffee). We can then calculate the pooled standard deviation using the formula:
[tex]Sp = sqrt(((nnap - 1) * snap^2 + (ncoffee - 1) * scoffe^2) / (nnap + ncoffee - 2))[/tex]
where n nap and n coffee are the sample sizes for the nap and coffee groups, respectively. We can then calculate the test statistic using the formula:
t = (X nap - X coffee) / (Sp * sqrt(1/nnap + 1/ncoffee))
Under the null hypothesis, this test statistic follows a t-distribution with (n nap + n coffee - 2) degrees of freedom. We can calculate the p-value for this test statistic using a t-distribution table or a calculator. Alternatively, we can use Python or R to perform the test and calculate the p-value.
If the p-value is less than the significance level of 0.05, we can reject the null hypothesis and conclude that there is sufficient evidence that taking a nap promotes faster reaction time than drinking coffee. Otherwise, we fail to reject the null hypothesis.
After calculating the appropriate test statistic, we would save it into variable p2.C.Stat, rounding the value to two decimal places. We would then calculate the p-value for this test statistic and save it into variable p2.C.P, rounding the value to three decimal places.
It's important to note that the assumptions of the two-sample t-test, such as normality and equal variances, should be checked before performing the test. If these assumptions are not met, alternative tests such as the Wilcoxon rank-sum test may be more appropriate.
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In ΔPQR, r = 7.8 cm, q = 6 cm and ∠Q=30°. Find all possible values of ∠R, to the nearest 10th of a degree.
The twο pοssible values οf ∠R tο the nearest 10th οf a degree are 33.6° and 326.4°.
What is a triangle?A triangle is a clοsed twο-dimensiοnal geοmetric shape with three straight sides and three angles. It is the simplest pοlygοn, which is a flat shape cοnsisting οf straight lines.
We can use the Law οf Cοsines tο find the length οf side QR:
[tex]c^2 = a^2 + b^2 - 2ab[/tex] cοs(C)
where c is the length οf side QR, a is the length οf side PQ (which is unknοwn), b is the length οf side PR (which is 7.8 cm), and C is the angle οppοsite side c (which is 30°). Substituting the given values, we get:
[tex]QR^2 = PQ^2 + 7.8^2 - 2(PQ)(7.8)cos(30^\circ )[/tex]
[tex]QR^2 = PQ^2 + 60.84 - 7.8PQ[/tex]
Next, we can use the Law οf Sines tο relate the length οf side PQ tο the angle οppοsite it, ∠P:
PQ/sin(30°) = QR/sin(P)
PQ = QR(sin(30°)/sin(P))
Substituting this expressiοn fοr PQ intο the equatiοn fοr [tex]QR^2[/tex] abοve, we get:
[tex]QR^2 = [QR(sin(30^\circ)/sin(P))]^2 + 60.84 - 7.8[QR(sin(30^\circ)/sin(P))][/tex]
Simplifying and rearranging, we get a quadratic equatiοn in terms οf QR:
[tex]QR^2 - 3.9QR + 28.99 = 0[/tex]
Using the quadratic fοrmula, we find that:
QR ≈ 7.466 cm οr QR ≈ 3.866 cm
Since we knοw that QR < PQ + PR = 6 + 7.8 = 13.8, the οnly valid sοlutiοn is QR ≈ 7.466 cm. Therefοre, we have:
[tex]cos(R) = (PQ^2 + QR^2 - PR^2)/(2PQQR)[/tex]
[tex]cos(R) = (PQ^2 + 7.466^2 - 7.8^2)/(2PQ(7.466))[/tex]
[tex]cos(R) = (PQ^2 - 4.928)/[2PQ(7.466)][/tex]
Since cοs(R) ≤ 1, we have:
[tex]PQ^2 - 4.928 ≤ 2PQ(7.466)[/tex]
Sοlving fοr PQ using the quadratic fοrmula, we get:
PQ ≤ 5.474 cm οr PQ ≥ 20.032 cm
Since PQ < PR, the οnly valid sοlutiοn is:
PQ ≈ 5.474 cm
Nοw we can use the Law οf Cοsines again tο find ∠R:
[tex]cos(R) = (PQ^2 + PR^2 - QR^2)/(2PQPR)[/tex]
[tex]cos(R) = (5.474^2 + 7.8^2 - 7.466^2)/(2(5.474)(7.8))[/tex]
cοs(R) ≈ 0.828
R ≈ 33.6° οr R ≈ 326.4°
Therefοre, the twο pοssible values οf ∠R tο the nearest 10th οf a degree are 33.6° and 326.4°.
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The following statement should determine if x is not greater than 20. Explain what is wrong with it and write the correction. if (!x > 20)
The student's original statement has an issue in the way the "not" operator is used. The "not" operator (!) is negating the entire expression, including the variable 'x', rather than just the inequality. This leads to incorrect evaluation.
To correctly determine if x is not greater than 20, you should use the "less than or equal to" (<=) operator instead. Here is the corrected statement:
if (x <= 20)
This statement will be true if x is less than or equal to 20, which is the intended condition.
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Jared's class took a survey to see how many students owned a trampoline. Of the 23 students in the class, 21 students said they owned a trampoline. If you chose a student at random from Jared's class, what is the probability that the student does not own a trampoline?
Answer:
There are different ways to approach this problem, but one possible method is:
Define the event A as "the student owns a trampoline".
Find the probability of A: P(A) = 21/23, because 21 out of 23 students said they owned a trampoline.
Find the probability of the complement of A, which is "the student does not own a trampoline". We can denote this event as A', and it is equivalent to "the student is one of the 2 students who did not say they owned a trampoline". Therefore, P(A') = 2/23.
Check that P(A) + P(A') = 1, because the student either owns a trampoline or does not.
Answer the question: the probability that the student does not own a trampoline is P(A') = 2/23, or approximately 0.087 or 8.7% (rounded to one decimal place).
Therefore, the answer is: the probability that the student does not own a trampoline is 2/23, or approximately 0.087 or 8.7%.
In 2010, a total of 2187 of the employees
at Leo's company owned a petrol car.
In 2013, there were 1536 employees with
petrol cars.
Assuming this number decreases
exponentially, work out how many
employees owned a petrol car in 2019.
Give your answer to the nearest integer.
Answer:
We can use exponential decay formula to solve this problem:
N(t) = N0 * e^(-kt)
where N(t) is the number of employees with petrol cars at time t, N0 is the initial number of employees with petrol cars (in 2013), k is the decay constant, and e is the base of the natural logarithm.
We need to find N(2019), the number of employees with petrol cars in 2019. We know that N0 = 1536, and we need to find k.
Let's assume that the number of employees with petrol cars decreases by 5% each year. This means that the ratio of the number of employees with petrol cars in two consecutive years is:
0.95
Therefore, we can write:
N(2019) = 1536 * 0.95^(2019-2013)
N(2019) = 1536 * 0.95^6
N(2019) = 1133.76
Rounding to the nearest integer, we get:
N(2019) = 1134
Therefore, we can estimate that about 1134 employees owned a petrol car in 2019, assuming that the number of employees with petrol cars decreases exponentially at a rate of 5% per year.
Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle B?
what is the measure of x
The value of angle x in the given figure is 79°.
An angle meaning is what?The highest and lοwest walls οf a skew are used tο split the curved lines that make up its ends using Cartesian measurements. A cοllisiοn between twο pοles at an intersectiοn is a pοtential. Angle is anοther οutcοme οf twο things interacting. They resemble dihedral fοrms the mοst clοsely. A twο-dimensiοnal curve can be created by placing twο line beams in variοus cοnfiguratiοns between their ends.
In ΔBFG, ∠FBG = 46°
So according to angle sum property
46° + ∠BFG + BGF = 180°
Here ΔBFG is an isosceles triangle
46° + 2∠BFG = 180°
2∠BFG = 180° - 46°
2∠BFG = 134
∠BFG = 134/2
∠BFG = 67° = ∠BGF
Using Vertically opposite angle
∠AFJ = 67°
With that in mind ∠BFA = ∠JFG
2∠JFG + 2∠AFJ = 360°
2∠JFG = 360° - 2∠AFJ
2∠JFG = 360° - 2(67)
2∠JFG = 360° - 134
2∠JFG = 226
∠JFG = 226/2
∠JFG = 113°
In ΔFDC, ∠JFG + ∠JDI + ∠HCG = 180°
113° + 33° + ∠HCG = 180°
∠HCG = 180° - (113° + 33°)
∠HCG = 34°
Also, ∠HGC = ∠BGF = 67°
Now, In ΔCGH, ∠HGC + ∠HCG + x = 180°
67° + 34° + x = 180°
x = 180° - (67° + 34°)
x = 79°
Thus, the value of angle x in the given figure is 79°.
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How would you solve for m<ACD
The measure of angle ACD is approximately 109.5 degrees.
What are parallel lines ?
Parallel lines can be defined in which the lines which are equidistant to each other and they never intersect.
To solve for m<ACD, we can use the fact that the sum of the angles in a triangle is 180 degrees.
We can start by finding the measure of angle ACD, which is opposite to the known side length of 10 units. Using the Law of Cosines, we have:
cos(ACD) = (AD * AD + CD * CD - 100) / (2 * AD * CD)
We know that AD = 8 units and CD = 6 units, so plugging in these values, we get:
cos(ACD) = (64 + 36 - 100) / (2 * 8 * 6) = -1/3
Since -1/3 is negative, we know that angle ACD is obtuse, meaning it measures between 90 and 180 degrees. Therefore, we can take the inverse cosine of -1/3 to find its measure:
cos(ACD) = (-1/3) ≈ 109.5 degrees
Therefore, the measure of angle ACD is approximately 109.5 degrees.
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Use ABC to write the indicated trigonometric ratio
Sin B=
Answer:
b/c
Step-by-step explanation:
sin B = opp/hyp
sin B = b/c
In terms of the water lily population change, the value 3.915 represents: the value 1.106 represents:
The value 1.106 represents the slope of the regression line or the rate of change of y with respect to x.
In the given regression equation y = 3.915(1.106)x:
The value 3.915 represents the y-intercept or the predicted value of y when x=0. In the context of the water lily population change, this value could represent the initial population of water lilies or the minimum population that can sustain in the given environment.The value 1.106 represents the slope of the regression line or the rate of change of y with respect to x. In the context of the water lily population change, this value could represent the rate at which the water lily population increases or decreases with respect to some independent variable x, such as time or environmental factors.Learn more about slope here https://brainly.com/question/19131126
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Jaxon invested $710 in an account paying an interest rate of 8\tfrac{7}{8}8 8 7 % compounded quarterly. Jason invested $710 in an account paying an interest rate of 8\tfrac{5}{8}8 8 5 % compounded continuously. After 8 years, how much more money would Jaxon have in his account than Jason, to the nearest dollar?
Answer:
I attached your answer along with an explanation
Step-by-step explanation:
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I've been waiting to order your cupcakes all day!
I'll have 4 Nom-Nom-Nom cupcakes -- that's
80% of my order. The rest of the order are Wow.
Using fraction, the total number of cupcakes is obtained to be 5.
What is fraction?
In mathematics, a fraction is used to denote a portion or component of the whole. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, and the denominator is the number at the bottom.
If 4 cupcakes represent 80% of the order, then we can use proportional reasoning to find the total number of cupcakes.
Specifically, if x is the total number of cupcakes, then we can write -
4/x = 80/100
where the left-hand side represents the fraction of the order that is Nom-Nom-Nom cupcakes, and the right-hand side represents the percentage of the order that is Nom-Nom-Nom cupcakes.
Solving for x, we get -
x = 4 / (80/100) = 5
So the total number of cupcakes is 5. Since 4 of them are Nom-Nom-Nom cupcakes, the remaining 1 cupcake must be a Wow cupcake.
Therefore, in total there are 5 cupcakes.
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I've been waiting to order your cupcakes all day! I'll have 4 Nom-Nom-Nom cupcakes -- that's 80% of my order. The rest of the order are Wow.
Find the total number of cupcakes.
A softball base is 15 inches long and 15 inches wide. How long is the diagonal? Leave your answer as a
simplified radical.
15 in
15 in
Length of diagonal =
in general, which point size would you use if you wanted each character to be approximately one inch in size? a.) 1 pt b.) 72 pts c.) 24 pts d.) 36 pts
If you want each character to be approximately one inch in size, you would use a point size of 72 pts.
Point size is a unit of measurement used to determine the size of typefaces. It represents the height of the characters in a font. One point is equal to 1/72 of an inch, which means there are 72 points in one inch.
Therefore, if you want each character to be approximately one inch in size, you would need to use a font size of 72 points. This would ensure that the characters are roughly one inch tall, assuming that the font is designed to be proportional and not condensed or expanded.
Choosing a smaller point size, such as 1 pt or 24 pts, would result in characters that are much smaller than one inch. Choosing a larger point size, such as 36 pts, would result in characters that are larger than one inch.
Therefore the correct answer is option b.) 72 pts.
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a charger has a power rating of 12 w. if you charge 6 cents per kilowatt hour, how much do you make in 1 day
The earnings made in 1 day when charging a device with a power rating of 12 W at a rate of 6 cents per kilowatt hour is 0.01728.
Given, Power rating of charger = 12 W. Charge per kilowatt hour = 6 cents = 0.06/kWh.To calculate the earnings in 1 day, we need to calculate the power consumed by the charger in 1 day first.
P = Power rating of charger = 12 Wt = Time = 1 day = 24 hours. Energy consumed = Power x Time. E = P x t= 12 W x 24 hours= 288 Wh = 0.288 kWh. Therefore, energy consumed by the charger in 1 day = 0.288 kWh.
Now, we can calculate the earnings in 1 day as follows: Charge per unit = 0.06/kWh. Earnings = Energy consumed x Charge per unit. Earnings = 0.288 kWh x 0.06/kWh= 0.01728.
Therefore, the earnings made in 1 day when charging a device with a power rating of 12 W at a rate of 6 cents per kilowatt hour is 0.01728.
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List the three classifications of fundamental skull shapes and indicate the number of degrees of angulation (formed by the petrous pyramids and the midsagittal plane) for each classification.
The three classifications of fundamental skull shapes are: +
BrachycephalicMesocephalicDolichocephalicThe number of degrees of angulation (formed by the petrous pyramids and the midsagittal plane) for each classification is 45, 30, and 15 degrees, respectively.
What is a Skull?The skull is a bony structure that supports the face and protects the brain. There are several different skull shapes, which can be classified into three main categories based on their length and width: brachycephalic, mesocephalic, and dolichocephalic.
Brachycephalic: A short, wide skull shape. The petrous pyramids are angled at 45 degrees to the mid-sagittal plane.Mesocephalic: A skull shape that is neither short nor long, with a medium width. The petrous pyramids are angled at 30 degrees to the mid-sagittal plane.Dolichocephalic: A long, narrow skull shape. The petrous pyramids are angled at 15 degrees to the mid-sagittal plane.To know more about the "skull shape": https://brainly.com/question/1463216
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john paul is 6 years older than angelina. in 9 years the sum of their ages will be 86. how old is john paul now?
If john paul is 6 years older than Angelina and in 9 years the sum of their ages will be 86, then John Paul is 35 years old now.
Let's assume Angelina's current age to be x years old. Then, according to the given information, John Paul's current age would be (x + 6) years old.
In 9 years, the sum of their ages will be 86, which means that (x + 9) + (x + 6 + 9) = 86.
Simplifying the equation, we get 2x + 24 = 86.
Solving for x, we get x = 31.
Therefore, John Paul's current age would be x + 6 = 31 + 6 = 35 years old.
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isaac is designing a circular table top that he plans to paint white. the table top has a circumference of 18.84 feet. using 3.14 for , what is the area of the table top rounded to the nearest hundredth?the area of the table top is
The area of the table top is approximately 28.27 square feet. To find the area of a circular table top with a given circumference, we can use the formula A = πr², where r is the radius.
To find the area of the table top, we need to use the formula for the area of a circle, which is:
A = πr²
We are given the circumference of the table top, which is:
C = 2πr
We can solve for r by dividing both sides by 2π:
r = C / (2π) = 18.84 / (2 * 3.14) = 3
Now we can substitute this value for r into the formula for the area of a circle:
A = π(3)² = 9π
Using 3.14 for π, we get:
A ≈ 28.26
Rounding to the nearest hundredth, the area of the table top is approximately 28.27 square feet.
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The student enrollement of a high school was 1350 in 2012 and increases 9% each year. What is the estimated enrollment in 2022
The estimated enrollment of a high school in 2022 is approximately 2775 students.
To calculate the estimated enrollment in 2022, we need to use the formula for compound interest:
A =[tex]P(1 + r)^t[/tex]
where:
A = final amount (enrollment in 2022)
P = initial amount (enrollment in 2012)
r = annual interest rate (increase rate)
t = number of years (10)
We know that P = 1350 and r = 0.09 (9%). We can plug these values into the formula:
A = [tex]1350(1 + 0.09)^{10[/tex]
A = [tex]1350(1.09)^{10[/tex]
A = 2774.92
Therefore, the estimated enrollment in 2022 is approximately 2775 students.
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I need help show work
Based on the past week's sales data, the baker can expect to sell Option C 220 caramel, 130 gingerbread, and 420 mint choco chip cookies.
What is population and sample?The population in statistics refers to the total set of people or things that we are attempting to analyse and make conclusions about. Typically, this group is too big to see or measure directly, so we use statistical methods to infer some of its features from a smaller collection of people or things, known as a sample. A representative portion of the population was selected for the sample in order to learn more about the population as a whole. The purpose of statistical analysis is to draw conclusions about the population using data from the sample.
The number of weeks in a month= 4.
Using the given table the estimated number of sales for the month are:
Salted caramel: 51 x 4 = 204
Gingerbread: 31 x 4 = 124
Mint: 99 x 4 = 396
Hence, based on the past week's sales data, the baker can expect to sell Option C 220 caramel, 130 gingerbread, and 420 mint choco chip cookies.
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A rectangular photograph is 8 inches by 10 inches. It will be put into a rectangular frame that is 2 inches wide on all sides. What is the area of the photograph when it is put into the
frame?
Answer:
the area of the photograph when it is put into the frame is 80 square inches, and the area of the frame is 88 square inches.
Step-by-step explanation:
Answer: 36 inches(2)
Step-by-step explanation:
A plane ticket to Barcelona cost £175 the price decreases by 6% work out the new price of the plane ticket
Answer:
£164.50
Step-by-step explanation:
If the discount is 6%, then the discounted price is 94% of the original price.
95% of £175 = 0.94 × £175 = £164.50
The sum of two numbers is 18. Their difference is -8. Find the two numbers.
Part A
Write a system of equations that represents the situation.
x + y =
x-y =
Part B
Solve the system of equations. Express the coordinates as decimals if necessary.
When we write out the system of equations, we will get:
[tex]x+y=18[/tex]
[tex]x-y=-8[/tex]
We can then use elimination to get just one variable.
[tex]x+y=18[/tex]
[tex]x-y= -8[/tex]
Which gives us: [tex]2x=10[/tex]
We then divide by 2 and get: [tex]x=5[/tex]
We next plug that into one of the two equations and solve for the other variable: [tex](5)+y=18[/tex]
We subtract 5 from both sides and get: [tex]y=13[/tex]
So the two numbers are 13 and 5.
Kathy had 20 dollars to spend on 3 gifts. She spent 10 7/10
dollars on gift A and 6 2/5 dollars on gift B. How much money did she have left for gift C?
If Kathy had $20 to spend on 3 gifts and she spent $10⁷/₁₀ on Gift A and $6²/₅ on Gift B, the (balance) amount left for Gift C is $3.89.
How is the balance determined?The balance can be determined using subtraction operation.
Subtraction operation is one of the four basic mathematical operations, including addition, multiplication, and division.
Subtraction operation involves the minuend ($20), the subtrahends ($10.07 and $6.04), giving a difference or balance of $3.89.
The total spending budget that Kathy has = $20
The number of gifts to buy = 3
The amount spent on Gift A = $10.07 ($10⁷/₁₀)
The amount spent on Gift B = $6.04 ($6²/₅)
The amount left for Gift C = $3.89 ($20 - $10.07 - $6.04).
Thus, after spending on Gifts A and B, the amount left for Gift C is determined using subtraction operation as $3.89.
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Solve the following equation for N. N x 4 = 28
After solving the equation N x 4 = 28 for N, then the solution to the equation is N = 7.
An equation is a mathematical statement that shows the equality of two expressions. It typically contains one or more variables and may involve arithmetic operations such as addition, subtraction, multiplication, or division. Equations can be solved to determine the values of the variables that make the equation true. For example, the equation 2x + 5 = 11 is true when x = 3, since 2(3) + 5 = 11.
To solve the equation N x 4 = 28 for N, we need to isolate N on one side of the equation.
First, we can divide both sides of the equation by 4:
N x 4 ÷ 4 = 28 ÷ 4
Simplifying:
N = 7
Therefore, the solution to the equation is N = 7.
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A circle with radius of 2 cm sits inside a circle with of 4 cm
Answer:
Diameter is equal to twice the radius. Given, radius is 4 cm. Diameter = 2(4) = 8 cm. Hence, diameter of the circle with radius as 4 cm is 8 cm.
Step-by-step explanation:
please
give brianliest
Answer: Area = 0
Step-by-step explanation:
((2*2)*3.14)-(4*3.14) = 0