The marginal benefit is the additional number of benefit associated with an increase in the activity.
The marginal benefit is the amount of benefit that is gained from a one-unit increase in the activity, and is measured by the additional satisfaction or utility that the individual or organization receives from the increase in the activity.
The marginal benefit is the additional number of benefit associated with an increase in the activity.
The marginal benefit is the additional benefit or satisfaction that is derived from an increase in the activity or product. It is the amount of pleasure or utility that a person or organization receives from the marginal increase in the activity or product. This is measured by the additional revenue, utility, or satisfaction that is experienced from the increase in activity. Marginal benefit can also refer to the additional money, time, or other resources that are invested in an activity or product, as well as the amount of value that is gained from the increase in the activity or product.
learn more about number here
https://brainly.com/question/10547079
#SPJ4
in a survey, the of respondents are identified as for and for anything else. the average (mean) is calculated for respondents and the result is
If the of respondents are identified as 1 for "yes" and 2 for "no" and 3 for "maybe" and 4 for "anything else" then , the data are considered at the nominal level of measurement .
The Level Of Measurement of a data set refers to the type of values that a variable can take and the properties that these values have.
In the survey , the respondents are identified as 1 for "yes," 2 for "no," 3 for "maybe," and 4 for "anything else."
These values are categorical, meaning they are names or labels for different categories. The data collected at this level is referred to as nominal level of measurement. This level of measurement is used when the variables are categorical and the order of the categories does not matter.
Therefore , the data collected in this survey is nominal and is used to describe categories or names, rather than numerical values.
The given question is incomplete , the complete question is
In a survey, the of respondents are identified as 1 for "yes" and 2 for "no" and 3 for "maybe" and 4 for "anything else" . the average (mean) is calculated for 665 respondents and the result is 1.5 ,
the data are at what level of measurement ?
Learn more about Level Of Measurement here
https://brainly.com/question/14571392
#SPJ4
evaluate x(2y+z)² for x=2, y=3, z=4
Answer: Plugging in the values x=2, y=3, and z=4 into the expression x(2y+z)², we get:
2(2(3)+4)² = 2(10)² = 2 * 100 = 200
So the expression evaluates to 200.
Step-by-step explanation:
what are the roots of 3x^4-21x^2+18
Answer:
{-√6, -1, 1, √6}
Step-by-step explanation:
You want the roots of the quartic 3x^4-21x^2+18.
FactorsWe can find the roots by factoring to linear factors:
= 3(x^4 -7x^2 +6)
= 3(x^2 -6)(x^2 -1) . . . . . . . 6 = (-1)(-6) are factors with a sum of -7
= 3(x -√6)(x +√6)(x -1)(x +1) . . . . . a^2 -b^2 = (a -b)(a +b)
The roots of the quartic are ±√6 and ±1.
Identify the independent and dependent variable.
The equation A = 25w gives the area A (in square feet) of a rectangle dance floor with a width of w feet.
Thank you
The independent variable is the width of the dance floor (w), while the dependent variable is the area of the dance floor (A). Changes in w will affect the value of A.
Independent variable: w Dependent variable: AThe equation A = 25w describes the relationship between the area (A) of a rectangle dance floor and its width (w).
The independent variable is w, which is the width of the dance floor. This means that any change in the width of the dance floor will affect the area of the dance floor. The dependent variable is A, which is the area of the dance floor. This means that any change in the area of the dance floor will depend on the width of the dance floor.Thus, if the width of the dance floor is increased, the area of the dance floor will also increase.
Learn more about dependent and independent variables: https://brainly.com/question/82796
#SPJ4
Raj polled 100 students in his class to compare the number of hours that teen boys and girls played video games each week. The results of his survey are shown below. Which statement about his data sets is true?
The statement about Raj's data sets which true is The average boy plays 8.5 hours more per week than the average girl.
About data setTechnically, a dataset is a collection of related items that can be accessed individually or in certain management combinations as a single unit. Datasets can be organized into several types of data structures. Examples of dataset in the business world can be seen from names, salaries, employee contact information, to sales figures, and so on.
In conclusion, a dataset is a collection of data that is ordered and obtained from a collection of information. The collection of information itself is obtained from observation, measurement, study, or analysis to become data. Data can be facts, numbers, names, or even descriptions. Therefore, datasets are closely related to data mining activities which help data scientists analyze data into coherent information.
Learn more about data set at https://brainly.com/question/22210584
#SPJ1
Thrice a number when increased by 6 gives 24
Answer:6
Step-by-step explanation:
Let the number be x.
Now, 3x+6=24
3x=24-6
3x=18
x=18/3
x=6
Answer:
6
Step-by-step explanation:
We can work the problem backwards
Since something gives 24 that means it equals 24
= 24
Something increased by 6, so something added by 6
Something + 6 = 24
Making something = x
x + 6 = 24
If we subtract 6 from both sides
x = 18
Trice a number, so divide this number by 3
x = 6
Trice of 6 is 18... 18 increased by 6 gives 24
List the sample space for rolling a fair eight-sided die.
S = {1}
S = {8}
S = {1, 2, 3, 4, 5, 6}
S = {1, 2, 3, 4, 5, 6, 7, 8}
Answer: The sample space of rolling an eight-sided die would be (1, 2, 3, 4, 5, 6, 7, 8)
Step-by-step explanation: thank you
The function f is defined for all numbers x by f(x)=x^2+x. If t is a number such that f(2t)=30, which two of the following could be the number t ?
Indicate two such numbers.
−5
−3
−1/2
2
5/2
The two numbers which could be used for two in function are 5/2 and - 3.
What is function?The definition of a function is a "well-behaved" relation is one in which, given a starting point, we know the exact one ending spot to go to; given an x-value, we get only and precisely one corresponding y-value. Because functions pair information, they are all relations, but not all relations are functions. A subset of all of your relations are well-behaved family members, just as all mathematical relations are well-behaved functions.)
Given f(x)=x²+x
and f(2t)=30
When x = 2t, x²+x = 30
Substitute the value of x in function
(2t)²+2t = 30
4t² + 2t = 30
2(2t² + t) = 30
2t² + t = 15
2t² + 3t - 5t - 15 = 0
2t(t +3) - 5(t + 3)
(2t - 5)(t + 3)
t = 5/2
t = -3
Thus, The two numbers which could be used for two in function are 5/2 and - 3.
To learn more about integers refers to;
brainly.com/question/2468330
#SPJ4
Today, Thurber tudie math for 15 minute and he tudie cience for 75 minute. From now on, Thurber plan to tudy math for 50 minute per day and to tudy cience for 30 minute per day. Will Thurber ever have tudied the ame total amount of time for both math and cience? Explain. Ue the drop-down menu to complete the entence. 5
day from today, Thurber will have tudied
Chooe. Of math and
Chooe. Minute of cience. I need help jut pleae give me the anwer i feel my i light headed
After three days Thurber will have studied the same total amount of time for both math and science and the time is 165 minutes for both.
How do you find the time in math?Time can be described in mathematics as an ongoing and continuous series of events that take place one after another, from the past through the present, and into the future. The duration of events or the gaps between them can be measured, compared, or even ordered using time.The equation for calculating time is [Time = Distance ÷ Speed].Seconds, minutes, hours, days, weeks, months, and years are the fundamental units of time. To determine the time of day, we use seconds, minutes, and hours; to determine the date, we use days, months, and years. The smallest units of time are seconds, minutes, and hours, while the larger ones are days, months, and years.Given data :
Today, he studies 15 minutes math and 75 minutes science and from now on, 50 minutes math and 30 minutes science. So if he studies for 1 day total time for math and science will be:
Math = 15 + 50 = 65
Science = 75 + 30 = 105
2nd day:
Math = 65 + 50 = 115
Science = 105 + 30 = 135
3rd day:
Math = 115 + 50 = 165
Science = 135 + 30 = 165
So, after three days Thurber will have studied the same total amount of time for both math and science and the time is 165 minutes for both.
Learn more about Time refer to :
https://brainly.com/question/26146375
#SPJ4
There are only green, yellow and black beads in a bag.
A bead is taken at random from the bag.
Complete the table below.
Colour
Green
Yellow
Black
Number of beads
8
8
Probability
15
Green Probability: 2/5
Yellow Probability: 2/5
Black Number of Beads: 4
If the chance to get a black bead is 1/5 the chance to get green or yellow has to be 4/5. Since both have the same amount of beads, the chance is 2/5 for each of them.
Now we know that 8 beads = 2/5 chance.
To find the number for 1/5 we just divide by 2.
8/2 = 4
Answer:
green Probability:2/5
yellow Probability:2/5
black Number of Beads:4
Step-by-step explanation best of luck
STRUCTURE The graph represents the exponential function f. Find f(7). -2 4 6 Ay 2 (0, -1.5) ƒ(7) = 4 X (2,-6) 4
The numeric value of the exponential function at x = 7 is given as follows:
f(7) = -192.
How to model the exponential function?The definition of an exponential function is given as follows:
y = ab^x
In which the parameters are defined as follows:
a is the initial value.b is the rate of change.When x = 0, y = -1.5, hence the parameter a is given as follows:
y = -1.5.
When x = 2, y = -6, hence the parameter b is obtained as follows:
-1.5b² = -6
b² = 4.
b = 2.
Hence the function is defined as follows:
y = -1.5(2)^x.
Hence the numeric value at x = 7 is given as follows:
y = -1.5(2)^7
y = -192.
More can be learned about exponential functions at https://brainly.com/question/25537936
#SPJ1
Write the log equation
as an
exponential equation. You do not need to solve for x.
In (4) = 3x +1
Answer:
Step-by-step explanation:
Ln means log to the base e and 3x+1 is an exponent
So the answer is:
4 = e^(3x+1).
A family has $1,000 to invest and is considering two options: investing in government bonds that offer 2% simple interest, or investing in a savings account at a bank, which charges a $20 fee to open an account and pays 2% compound interest. Both options pay interest annually.
The family would more likely choose the stock option, if the period of investment is 20 years,after calculating the simple & compound interest.
$999.60 is 1.02 times $980, and $1,019.59 is 1.02 times $999.60.
They may choose bonds or savings account depending on the assumptions they make about the time frame of the investment.
The value of the bonds b=1,000+20x and value of the stocks is s=980⋅(1.02)x , where x is the number of years since the investment were made.
For 10 years, the value of the bond will be
b=1,000+200=1,200 dollars.
The value of the stock will be s=980⋅(1.02)10≈1,195 dollars.
They should choose the bond option if the period of investment is 10 years.
For 20 years, the value of the bond will be
b=1000+400=1,400 dollars.
The value of the stock will be 980⋅(1.02)20=1,456980⋅(1.02)20=1,456 dollars.
So they choose the stock option, if the period of investment is 20 years.
Learn more about simple & compound interest here :
https://brainly.com/question/22621039
#SPJ4
The complete question is attached below.
15 (x-3)/5= 3 (2x-3) without the distributive property ( the / symbol is division)
Answer:
brooooooooooo I got x=0
you come across a bomb that is about to go off if you do not stop it! to neutralize the bomb, you must get exactly four gallons of water in the empty tub to which it is attached. the only equipment you have is one empty 3-gallon jug, one empty 5-gallon jug and an unlimited supply of water. there are no markings on the jugs or the tub. the only thing you know is that one jug is 3-gallon and the other jug is 5-gallon. the jugs have to be completely filled. you cannot make eyeball assumptions about a half-filled jug. you have to make sure you get exactly 4 gallons in the tub. what do you do?
Fill the 3-gallon jug all the way.
Pour those 3 gallons of water into the 5-gallon jug.
Fill the 3-gallon jug all the way again, and pour as much as it takes to fill the 5-gallon jug (which is 2 gallons).
Now you have 5 gallons in the 5-gallon jug and 1 gallon in the 3-gallon jug.
Empty the 5-gallon jug.
Pour the 1 gallon in the 3-gallon jug into the 5-gallon jug.
Now fill the 3-gallon jug all the way, and pour all 3 gallons into the 5-gallon jug, which, added to the 1 gallon already in there, and leaves you with exactly 4 gallons.
To know more about Jug Problem visit brainly.com/question/16134180
#SPJ4
Fill the 3-gallon jug all the way.
Pour those 3 gallons of water into the 5-gallon jug.
Fill the 3-gallon jug all the way again, and pour as much as it takes to fill the 5-gallon jug (which is 2 gallons).
Now you have 5 gallons in the 5-gallon jug and 1 gallon in the 3-gallon jug.
Empty the 5-gallon jug.
Pour the 1 gallon in the 3-gallon jug into the 5-gallon jug.
Now fill the 3-gallon jug all the way, and pour all 3 gallons into the 5-gallon jug, which, added to the 1-gallon already in there, leaves you with exactly 4 gallons.
To know more about Jug Problem visit
brainly.com/question/16134180
#SPJ4
Which term could be put in the blank to create a fully simplified polynomial written in standard form?
Which term could be put in the blank to create a fully simplified polynomial written in standard form?
8x3y2−_____+3xy2−4y3
x2y2
x3y3
7xy2
7x0y3
The missing term in the polynomial is 8x³y² - __ + 3xy² - 4y³ is x²y².
What is a polynomial?A polynomial is an algebraic expression.
A polynomial of degree n in variable x can be written as,
a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+ aₙ.
Given, A polynomial 8x³y² - __ + 3xy² - 4y³.
Now, If we observe the terms we can conclude 'x' has decreasing powers and y has increasing powers, therefore, the term could be put in the blank to create a fully simplified polynomial written in standard form is x²y².
So, The polynomial is 8x³y² - x²y² + 3xy² - 4y³.
learn more about polynomials here :
https://brainly.com/question/11536910
#SPJ1
Solve y' - (x +y - 1)2
Given equation is a first-order nonlinear ordinary differential equation (ODE): y' - (x + y - 1)^2 = 0
What is differential equation ?
A differential equation is an equation that contains at least one derivative of an unknown function, either a normal differential equation or a partial differential equation.
This equation can be solved using various methods, such as numerical methods or analytical methods like the implicit function theorem or the method of characteristics. However, finding an exact solution can be challenging and may not always be possible.
If you would like to find an approximate solution to this ODE, you could use numerical methods such as Euler's method, Runge-Kutta method, or the finite difference method. These methods can provide a numerical approximation to the solution for a given range of x and a specified initial condition.
The given equation is a first-order nonlinear ordinary differential equation (ODE):
y' - (x + y - 1)^2 = 0
To know more about differential equation visit,
https://brainly.com/question/28099315
#SPJ4
Ben collected data from a group of 12 people. He measured each person’s resting heart rate and recorded the average number of hours each person exercised per week. He created a scatterplot to show the data he collected.
Based on the scatterplot, what is the best prediction of the resting heart rate, in beats per minute, of a person who exercises an average of 8 hours each week?
Based on the scatterplot, 50 beats per minute is the best prediction of the resting heart rate, in beats per minute, of a person who exercises an average of 8 hours each week.
What is a scatter plot used for?In an effort to demonstrate the degree to which one variable is influenced by another, scatter plots are used to plot data points on a horizontal and vertical axis. The values of the columns set on the X and Y axes determine the position of the marker that represents each row in the data table.With a specific confidence range, a scatter plot can infer many types of correlations between variables. For instance, height would be on the x-axis while weight and height would be on the y-axis. Positive (increasing), negative (falling), or no correlations may exist (uncorrelated).The higher the correlation between the two variables, or the tighter the association, the more closely the data points resemble a straight line when they are plotted.Learn more about scatter plot refer to ;
https://brainly.com/question/29366075
#SPJ4
Kayla and Leanne share a bag of marbles.
For every 4 marbles Kayla gets, Leanne gets 3.
There are 42 marbles in the bag. How many does each girl get?
Kayla -24
Leanne-18
Step-by-step explanation:
4+3=7
42÷7=6
6x4=24
3x6=18
Answer: Let's call the number of marbles that Kayla gets x. Then, Leanne gets 3x marbles. The total number of marbles that the girls receive is x + 3x = 4x, so 4x must equal 42 marbles:
4x = 42
Dividing both sides by 4:
x = 10.5
Since the number of marbles that each girl receives must be an integer, we round down to the nearest whole number. So, Kayla gets 10 marbles and Leanne gets 3 * 10 = 30 marbles.
Step-by-step explanation:
when a retired police officer passes away, he leaves $220000to be divided among his four children and four grandchildren. the will specifies that each child is to get twice as much as each grandchild. how much does each get?
Answer:
Each child gets $36666.67, each grandchild gets $18333.33
Step-by-step explanation:
220000/6= 36666.67,
36666.67/2= 18333.33
What is the lenght of MN? Important to have calculator in degree mode
Round your answer to the tenths
The length of side MN from triangle MNP is 30.78
Please see the attached picture below as reference of triangle MNP.
From the case, we know that:
∠M = 90°
∠P = 72°
∠N = 18°
PM = 10
To solve this problem we need to find the length of side NP first using cos formula to angle P.
Cos ∠P = PM
NP
Cos 72° = 10 / NP
0.309 = 10 / NP
NP = 32.36
Next, we will use the same approac to angle N:
Cos ∠N = MN
NP
Cos 18° = MN / 32.36
MN = 0.951 x 32.36
MN = 30.78
Learn more Length of Side here: brainly.com/question/29297621
#SPJ4
Please Help me, thanks!
Two hundred ninety-five people go to the public swimming pool on a hot summer day. The daily prices are 1.75 for children and 2.00 for adults. The reci[pnts admission total of 560.75 dollars. How many children and adults were there
The number of children and adult that were there are 117 aand 178 respectively.
How to find the number of children and adult?Two hundred ninety-five people go to the public swimming pool on a hot summer day. The daily prices are 1.75 for children and 2.00 for adults. The recipients admission total of 560.75 dollars.
The number of children and adult can be calculated as follows;
Using equations,
let
x = number of children
y = number of adult
Therefore,
x + y = 295
1.75x + 2y = 560.75
multiply equation(i) by 2
2x + 2y = 590
1.75x + 2y = 560.75
subtract the equation
0.25 x = 29.25
x = 29.25 / 0.25
x = 117
Hence,
y = 295 - 117
y = 178
Therefore,
number of children = 117
number of adult = 178
learn more on equation here:https://brainly.com/question/30303812
#SPJ1
jorge wants to warm up some tomato soup wich option is a better deal per ounce: one 30 ounce container soup for 5.28 or two 14 ounce container of soup for 2.38 each
To solve this we would divide the pirce of the soups by their container ounces
$2.38÷14=$.17 per ounce
$5.28÷30=$.176 per ounce
We do not use a thrid decmal place when talking about money so we would round $.176 (since the third decmial place is greater than or equal to 5) up to $.18
Therefore Two 14 ounce containers of soup is a better deal per ounce.
Helpp! ASAP You'll earn 90 points! it's urgent
a shopper purchased 7 t shirts and 5 pairs of pants for $200. the next day, he purchased 5 t-shirts and one pair of pants for $112. what is a system of equations that represents the soulution? How much does each t-shirt and each pair of pants cost?
The system of equations are 7x + 5y = 200 and 5x + y = 112. The cost of each t shirt is $20 while the cost of each pants is $12.
What is an equation?An equation is an expression showing the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on depending on the degree.
Let x represent the cost of each t shirt and y represent the cost of each pants.
The shopper purchased 7 t shirts and 5 pairs of pants for $200, hence:
7x + 5y = 200 (1)
Also, he purchased 5 t-shirts and one pair of pants for $112, hence:
5x + y = 112 (2)
Solving the two equations simultaneously gives:
x = 20, y = 12
The system of equations are 7x + 5y = 200 and 5x + y = 112
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
let f ( x ) = 2 x 3 and g ( x ) = 2x 2 4x . after simplifying, ( f ∘ g ) ( x )
for the functions f and g, fog is given by
fog (x) = 2 ( 2x ^2 +4x ) +3 = 4x^2 +8x+3
The equation of f(x) is f ( x ) = 2 x+ 3 and g ( x ) = 2x^ 2+ 4x
then fog is given by
fog (x) = 2 ( 2x ^2 +4x ) +3
= 4x^2 +8x+3
The graph of g(x) is shifted 3 units to the left. This is a horizontal translation.
For horizontal translation, we follow the following rule >>>
Let parent function be f(x), then
• f(x+a) is the parent translated "a" units left
• f(x-a) is the parent translated "a" units right for function
learn more about of function here
https://brainly.com/question/28992757
#SPJ4
find an equation of the sphere with center and radius . what is the intersection of this sphere with the -plane?
The intersection of this sphere with the -plane is (y+6)²+(z-4)²=21
The equation of a sphere centered at (h,k,l) and radius r is given by:
(x−h)²+(y−k)²+(z−l)²=r²
where x,y, and z represent the coordinates of the points on the surface of the surface.
so if the center is (-3,2,5) and radius r=4 then we can plug the values in the above formula:
consider the points h=-3 k=2 l=5 and r=4.
(x−(-3))²+(y−2)²+(z−5)²=4²
(x+3)²+(y−2)²+(z−5)²=16.
If the sphere intersects the yz-plane then x=0
The resulting equation is an equation of a circle with a radius r=√21
and at the center with (6,-4) on the yz-plane
with yx-plane:
⇒(x−2)²+(y+6)²+(z−4)²=25
⇒ (0−2)²+(y+6)²+(z−4)²=25
⇒4+(y+6)²+(z−4)²=25
⇒(y+6)²+(z−4)²=25-4
⇒(y+6)²+(z−4)²=21
To know more about the intersection of the sphere:
https://brainly.com/question/4536228
#SPJ4
Roy took out a 30-year loan for $155,000 at an APR of 5. 5%, compounded
monthly. Approximately what would be the total cost of his loan if he paid it
off 4 years early?
O
A. $312,423. 90
O
B. $37,842. 06
O
O
c. $274,581. 84
D. $316,825. 20
Option A is the correct Answer. The total cost of his loan if he paid it off 4 years early is 312,423.90
We have given:
The principal amount which is 30,000
Time which is 30 year
The rate which is 5.5%
And since, we have to find 4 years early so, the time would be: 20-4=16 years.
And since, we have to find for 12 months
Hence, n=12
We have the formula to calculate compound interest:
[tex]A=P(1+\frac{r}{n})^n^t[/tex]
Where
A=compound interest
P= Orginal amount deposited.
r= rate
n=times its compounds per year monthly
t= years.
P=155000, r=5.5, t=16
On substituting the values we get:
[tex]A=155000(1+\frac{0.055}{12})^1^2^*^1^6\\\\A=155000(1+\frac{0.055}{12})^1^9^6\\\\A=155000(14884.0754)\\\\A=312,423. 90[/tex]
Therefore, the compound interest is 312,423.90
To know more about Compound interest:
https://brainly.com/question/3730172
#SPJ4
On the geography quizzes Elliot got 45 out of 54 countries correct and Lucy got an 88% and Jeanette got 38 out of 44 correct list the students standings from least to greatest
From least to greatest; Elliot, Jeanette, Lucy.
What is a Percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.
Elliot = 45/54 x 100%
Lucy = 88%
Jeanette = 38/44 x 100%
Elliot = 83%
Lucy = 88%
Jeanette = 86%
Learn more about percentages here:
https://brainly.com/question/843074
#SPJ1
Eric throws a biased coin 10 times and gets tails 3 times.
Sue throws the same coin 50 times and gets tails 20 times.
Audi is going to throw the coin once.
Use Erics and Sues results to work out an estimate for the probability that Aadi will get tails. write your fraction in the form a/b.
Answer:
Below
Step-by-step explanation:
Out of 50 + 10 = 60 tries, 3 + 20 = 23 times were tails
23/60 chance of tails
The estimate of the probability that Audi gets tails is given as follows:
p = 23/60.
How to calculate a probability?A probability is calculated via the division of the number of desired outcomes by the number of total outcomes.
Hence the probability of each person getting tails when they throw a biased coin is given as follows:
Eric: 3/10.Sue: 20/50 = 2/5.The total number of throws is given as follows:
50 + 10 = 60.
The number of tails is given as follows:
3 + 20 = 23.
Hence the probability for Audi is given as follows:
p = 23/60.
More can be learned about probabilities at https://brainly.com/question/24756209
#SPJ1
Let n be a non-negative integer. Then the number of divisors of the form "4n + 1" of the number (10)10. (11)11. (13)13 is equal to_____
The number of divisors of 1730 of the form 4n + 1 is 20.
What do you mean by integers?An integer is a whole number, meaning it can be positive, negative, or zero, but it cannot be a fraction or a decimal. Integers are a subset of real numbers, which also include fractional and decimal numbers.
Integers are commonly used in mathematics and computer science for counting and for performing arithmetic operations such as addition, subtraction, multiplication, and division. They are also used to represent the magnitude of a quantity, such as the number of items in a set or the time elapsed in seconds.
In computer programming, integers are often stored as binary numbers, which are sequences of bits that represent positive or negative whole numbers. Different computer architectures have different numbers of bits for representing integers, with common sizes being 8, 16, 32, and 64 bits.
The number (10)10. (11)11. (13)13 is equal to 11 × 13 × 10 = 1730 in decimal.
A divisor of a number can be represented as (4n + 1) where n is a non-negative integer.
To find the number of divisors of 1730 of the form 4n + 1, we need to find the number of factors of 1730 that can be expressed as 4n + 1.
First, we find the prime factorization of 1730:
1730 = 2 × 3 × 5 × 29
Since 1730 is an odd number, one of its divisors must also be an odd number.
The only possible values for n are 0, 1, 2, ..., (number of odd divisors - 1).
In this case, the number of odd divisors of 1730 can be calculated as:
(number of ways to choose 0 odd factors) × (number of ways to choose 1 odd factor) × (number of ways to choose 2 odd factors) × ... × (number of ways to choose 4 odd factors)
= 1 × 4 × 5 × 1 = 20
Thus, the number of divisors of 1730 of the form 4n + 1 is 20.
To know more about decimal visit:
https://brainly.com/question/28338004
#SPJ4