Answer:
84boys
Step-by-step explanation:
boys:girls
7:4
4= 48
7=?
=84boys
What number is ten more than 21?
The number that is 10 more than 21 is 31, using the concept of addition.
Addition (usually signified by the plus symbol +) is one of the four basic operations of arithmetic, the other three being subtraction, multiplication and division.The addition of two whole numbers results in the total amount or sum of those values combined. The example in the adjacent image shows a combination of three apples and two apples, making a total of five apples. This observation is equivalent to the mathematical expression "3 + 2 = 5" (that is, "3 plus 2 is equal to 5").
Besides counting items, addition can also be defined and executed without referring to concrete objects, using abstractions called numbers instead, such as integers, real numbers and complex numbers. Addition belongs to arithmetic, a branch of mathematics. In algebra, another area of mathematics, addition can also be performed on abstract objects such as vectors, matrices, subspaces and subgroups.
Here, what we can do is use addition to find the number 10 more than 21.
= 21 + 10
= 31
Hence, the number 10 more than 21 is 31.
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Two brothers, Leo and William, are racing their bikes around
a 9.5-mile loop. Since Leo is younger, he is given a 1.5-mile
head start. The graph to the right shows Leo's progress.
The expression 19x can be used to determine y, the distance
in miles that William has traveled after x hours have passed.
Which statement about this situation is not true?
A. William is traveling at a faster speed than Leo.
B. The difference between their speeds is exactly
1.5 miles per hour.
C. Leo traveled only 8 miles during the race.
D. Both brothers will finish the race in 1/2 hour.
The incorrect answer is b) The difference between their speeds is exactly 1.5 miles per hour.
What is distance?
The distance between two sites is the length of the route. The metre is the SI unit for distance.
What is speed?
The speed at which an object’s location changes in any direction. The distance travelled divided by the time it took to travel that distance is how fast something is moving.
What is time?
The amount of time that something happens, goes through a process, or remains the same.
Let distance be Y and time be X.
Distance (Y) travelled by William after X hours;
Y= 19X
Speed of Leo = [tex]\frac{distance}{time}[/tex]
= [tex]\frac{8}{0.5}[/tex]= 16 m/hr
Difference in speed= 19-16= 3m/hr
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Find the total surface area and lateral surface area of a chalk box whose height, length and breadth are 25 cm, 20 cm and 15 cm respectively.
Total surface area = 2(lb+bh+hl)
TSA = 2(25×20+20×15+15×25)
TSA= 2(500+300+375)
TSA= 2(1175)
TSA= 2350 cm²
Lateral surface area = 2(l+b)h
LSA= 2(25+20)15
LSA,= 2(45)15
LSA= 1350 cm²
h=25 cm
l=20 cm
b=15 cm
Total surface area is 2(lb+bh+hl)
2(20×15+15×25+25×20)
2(300+375+500)
2(1175)=2350 cm 2
What age can you skip count?
Therefore , the 6 year old children can able to skip count to 1 to 100 counting by making them learn.
What do you mean by counting?Mathematicians can add numbers using the counting-on technique. When using this method, a learner begins by adding the larger number, then "counts on" with the other addends to get the sum. The student will recognize 4 as the higher number and add three more numbers, such as integers "4... 5, 6, 7," if the number sentence is 4 + 3.
Here,
Around age 6, kids start to learn how to skip count. Skip counting teaches your youngster to count swiftly and gets them ready to grasp the fundamentals of multiplication.
The simplest way to count is in skip increments of 10, which are essentially identical to regular increments of 10 with the exception of an extra '0': 10, 20, 30,... 80, 90, 100.
Therefore , the 6 year old children can able to skip count to 1 to 100 counting by making them learn.
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Paul's batting scores for cricket in a season are 17, 23, 9, 0, 8, 21 and 12.
Calculate Paul's mean score to the nearest whole number.
Based on Paul's batting scores for cricket in a season, his mean score to the nearest whole number is equal to 13.
What is a mean?In Mathematics, a mean is sometimes referred to as an average and it can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.
How to calculate the mean for the set of scores?Mathematically, the mean for this set of scores can be calculated by using the following formula:
Mean = [F(x)]/n
For the total scores, we have;
F(x) = 17 + 23 + 9 + 0 + 8 + 21 + 12
F(x) = 90.
Now, we can determine the mean score as follows;
Mean score = 90/7
Mean score = 12.86 ≈ 13.
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How to solve pls. I need help really bad I don’t understand
Answer:
The answer for the question is 3.7
a) Change 12 out of 43 to a percentage
b) Change 43 out of 57 to a percentage
Answer:
a) 27.9069767442
b} 75.439%
Step-by-step explanation:
The equation y=−x4+5 describes line 1. The equation x+4y=−40 describes line 2.
Which statement is true?
Responses
Line 1 is neither parallel nor perpendicular to line 2.
Line 1 is parallel to line 2.
Line 1 is perpendicular to line 2.
The lines y = - 4x + 5 and y = x + 4y = - 40 is neither parallel nor perpendicular.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given, Are two lines y = - 4x + 5 and y = x + 4y = - 40.
Now,
x + 4y = 40
4y = - x + 40.
y = - (1/4)x + 10.
We know lines parallel to each other have the same slope and lines perpendicular to each other have a slope that is negative reciprocal of each other.
So, Line 1 is neither parallel nor perpendicular to line 2.
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Please help !!!!!!!!
Answer: 64.5 hours
Step-by-step explanation:
2580 divided by 40
Due tomorrow
I need help with #2
Please and thank you!
a horizontal line passes through $(1,1)$. a vertical line passes through $(2,2)$. what is the point of intersection of these two lines?
The point of intersection of these two lines is (2,1)
Point of intersection means the point at which two lines intersect.
These two lines are represented by the equation a1x + b1y + c1= 0 and a2x + b2y + c2 = 0, respectively.
When the graphs of y = f(x) and y = g(x) intersect, both graphs have exactly the same x and y values.
So we can find the point or points of intersection by solving the equation f(x) = g(x)
We have been given that line l1 is horizontal and passes through the point (1,1). The line l2 is vertical and passes through points (2,2). We are asked to find a point of intersection between line l1 and line l2.
Line l1 is a horizontal line so the y-coordinate will be 1 for any value of x. Line l2 is a vertical line, so the x-coordinate will be 2 for any value of y.
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What is the slope of the line whose equation is 3x 2y 10?
For the given function 3x + 2y = 10 the slope of the function is equal to -3/2.
As given in the question,
Given function is equal to 3x + 2y = 10
Standard form of the equation representing slope intercept form is given by :
y = mx + c
'm' is the slope of the given function
'c' is the value of y-intercept of the given function.
Now simplify the given function 3x + 2y = 10 in standard form ,
3x + 2y = 10
⇒2y = -3x + 10
⇒ y = 1/ 2(-3x + 10 )
⇒ y = -3/2x + 5
Compare with the standard form of the equation ,
Slope of the given function is m = -3/2.
Therefore, for the given function 3x + 2y = 10 the slope of is given by
m = -3/2.
The given question is incomplete , the complete question is:
What is the slope of the function 3x + 2y = 10?
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Arthur has an april credit card balance of $325.24. his repayment date is the 25th of every month, with a grace period of 5 days. if his payment is late, the credit card company charges him a $25 late fee. arthur wants to repay the full amount to have a zero balance. how much should arthur pay if his online payment is processed on may 1?
a. $325.24, the april balance
b. $25, the april late fee
c. $350.24, the april balance plus the late fee
d. $300.24, the april balance minus the late fee
Answer:
c. $350.24, the april balance plus the late fee
Step-by-step explanation:
You want to know the required total payment when the balance being repaid is $325.24 and a late fee of $25 is charged.
Total owedArthur must pay both the balance due and the late fee. The total amount he must pay is ...
balance + late fee = $325.24 +25.00 = $350.24
For the polynomial function f(x)= -2x² - 4x + 16, find all local and global extrema.
A.) No local extrema exist.
B.) The local and global extrema are: (0, -4), (0, 2) and (-1, 18).
C.) The only extrema point is (-1, 18).
D.) No global extrema exist.
Answer:
C.) The only extreme point is (-1, 18).
Step-by-step explanation:
You want the local and global extrema of f(x) = -2x² - 4x + 16.
Extreme pointsUnless the domain is restricted to a particular interval, the extrema of a polynomial function will be its turning points. The number of possible turning points is 1 less than the degree of the equation.
An even-degree polynomial equation will always have at least one global extreme on the domain of all real numbers.
The given 2nd-degree equation will have exactly one extreme point: its vertex at (-1, 18).
__
Additional comment
The vertex of ax² +bx +c is located at x=-b/(2a). Here, that is x=-(-4)/(2(-2)) = -1. The value of f(-1) is -2 -(-4) +16 = 18, so the extreme point is (-1, 18). A graphing calculator finds it quickly.
grass clippings are placed in a bin
Does anyone know how to solve this?
solve for x
3(x-2)^2-10=4-11x
Answer:
x=3.25
Step-by-step explanation:
To solve this you would have to distribute the 3 to both numbers in the parenthesis and then you'd combine like terms. Once you combine like terms it'll be a bit easier to solve. When I distributed and combined like terms I got 3x-12-10=4-11x and then I solved and got x=3.25
Not sure if this is how your supposed to solve this problem for your assignment but for us it's usually like this...if it happens to be wrong then I'm sorry.
suppose that 62 percent of the graduates from your high school go on to four-year colleges, 15 percent go on to two-year colleges, 18 percent find employment, and the remaining graduates search for a job. if a randomly selected student is not going on to a four-year college, what is the probability he or she will find employment?
Using the AND rule of probability and percentage calculations, The answer is 0.0684.
What do you mean by probability?Probability is the likelihood that something will occur. When we don't know how an event will turn out, we might discuss the likelihood of various outcomes. Statistics is the study of events that follow a probability distribution.
What do you mean by percentage?Percentages are fractions with a 100 as the denominator. The percent symbol (%) is used next to the number to denote that it is a percentage.
62% goes to college.
% not going to college = 100%-62%
=38%
on that 38%, 18% gets employment,
probability = 0.38 * 0.18
=0.0684
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What is the formula of rational function?
The formula of rational function is [tex]R(x) = \frac{P(x)}{Q(x)}[/tex] , where P(x) and Q(x) are polynomial functions.
What is rational function ?
A rational function is one that can be written as a polynomial divided by a polynomial. Since polynomials are defined everywhere, the domain of a rational function is the set of all numbers except the zeros of the denominator. Example 1. f(x) = [tex]\frac{x}{x - 2}[/tex].
Rational functions are typically identified by the degrees of the numerator and denominator. For example, a quadratic for the numerator and a cubic for the denominator is identified as a quadratic/cubic rational function. A rational function model is a generalization of the polynomial model.
The formula of rational function is [tex]R(x) = \frac{P(x)}{Q(x)}[/tex] , where P(x) and Q(x) are polynomial functions.
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The value of 12004+ 32004+52004+72004+ 92004 is calculated using a powerful
computer. What is the units digit of the correct answer?
Units digit - 6
Step-by-step explanation:
A. 12004+ 32004 = 44008
B. 52004+72004 = 124008
Total - 44008+124008+ 92004 = 208016
Units digit - 6
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How do you solve for mean and SD?
We determine the mean and standard deviation for a statistical observation by considering the available data set and size of data.
What is mean and standard deviation?In the statistics, the mean value is the average value of all available data set.
The standard deviation is an estimation that implies how far each data is apart from the mean value.
How do we solve for mean and standard deviation?Suppose we have a list of data. The data list is denoted by X and the total number of data is N. Now we will add all the data set and the result is denoted by ∑X
Mean value formula = the sum of data / number of data = ∑X/N
In the next, we will determine the square value of all data and the list is denoted by X². Finally, we add all the X² and the result is ∑X²
now, standard deviation is calculated by the formula,
standard deviation = √[∑X²/N - (∑X/N)²]
hence, we can solve for mean and SD
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What is equidistant from the angles of a triangle?
The circumcenter of a triangle is the point in the plane equidistant from the three vertices of the triangle.
In geometry, the circumscribed circle or circumcircle of a polygon is a circle that passes through all the vertices of the polygon. The center of this circle is called the circumcenter and its radius is called the circumradius.
Not every polygon has a circumscribed circle. A polygon that does have one is called a cyclic polygon, or sometimes a concyclic polygon because its vertices are concyclic. All triangles, all regular simple polygons, all rectangles, all isosceles trapezoids, and all right kites are cyclic.
A related notion is the one of a minimum bounding circle, which is the smallest circle that completely contains the polygon within it, if the circle's center is within the polygon. Every polygon has a unique minimum bounding circle, which may be constructed by a linear time algorithm.
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Two conducting spheres, one having twice the diameter of the other, are separated by a distance large compared to their diameters. The smaller sphere (1) has charge q and the larger sphere (2) is uncharged. If the spheres are then connected by a long thin wire:.
If the spheres are connected by a long thin wire, then the two spheres are at the same potential.
In math, the term sphere refers a three dimensional solid, that has all its surface points at equal distances from the center.
Here we have given that the two conducting spheres, here one having twice the diameter of the other, that are separated by a distance large compared to their diameters. Then the smaller sphere (1) has charge q and the larger sphere (2) is uncharged.
And we need to find If the spheres are connected by a long thin wire.
While we looking into the given question when these two conducting spheres are connected together through a thin wire then charge from the smaller sphere will travel through the wire.
Therefore, here this charge will continue to travel towards the neutral sphere until the charge on both the spheres will become equal to each other.
Therefore, their potential will also become equal.
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What is difference between transform and fit transform?
The difference between transform and fit_transform is that transform() method is used to perform scaling whereas fit_transform does both the fitting and the transforming in one step.
In this question we need to describe the difference between methods transform() and fit_transform()
We know that the methods like transform(), and fit_transform() provided by the scikit-learn package.
Both are the methods of class sklearn.preprocessing.StandardScaler()
The transform() method is used to perform scaling using mean and standard deviation which is calculated using the .fit() method.
The fit_transform() method does both fits and transform i.e., fit_transform() calculates the mean and standard deviation for a given feature and also perform scaling.
Therefore, transform() changes the data and fit_transform does both the fitting and the transforming in one step.
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What are the steps to solving 5x 3 13?
Linear expressions or equations are expressions in which the highest power of the variable is one 5x+3= 13 in four steps
steps 5 x + 3 = 13. 5x+3=13. Subtract 3 from both sides. Subtract 3 from both sides.
5x=13-3. 5x=13−3. Subtract 3 from 13 to get 10. Subtract 3 from 13 to get 10.
5x=10. 5x=10. Divide both sides by 5. Divide both sides by 5.
x=\frac{10}{5} x=510 Divide 10 by 5 to get 2. Divide 10 by 5 to get 2.
Linear expressions or equations are expressions in which the highest power of the variable is one.
Quadratic expressions or equations are expressions in which the highest power of the variable is two.
Cubic expressions or equations are expressions in which the highest power of the variable is three.
Quartic expressions or equations are expressions in which the highest power of the variable is four.
From the expression, 5x + 2 given,
the highest power of x is one. So it is a linear expression.
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What number is one more than 39?
The answer is 40, by using addition.
Addition (usually signified by the plus symbol +) is one of the four basic operations of arithmetic, the other three being subtraction, multiplication and division.The addition of two whole numbers results in the total amount or sum of those values combined. The example in the adjacent image shows a combination of three apples and two apples, making a total of five apples. This observation is equivalent to the mathematical expression "3 + 2 = 5" (that is, "3 plus 2 is equal to 5").
Besides counting items, addition can also be defined and executed without referring to concrete objects, using abstractions called numbers instead, such as integers, real numbers and complex numbers. Addition belongs to arithmetic, a branch of mathematics. In algebra, another area of mathematics, addition can also be performed on abstract objects such as vectors, matrices, subspaces and subgroups.
Here, what we can do is use addition to find the number one more than 39.
= 39 + 1
= 40
Hence, the number one more than 39 is 40.
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Addition (usually signified by the plus symbol +) is one of the four basic operations of arithmetic, the other three being subtraction, multiplication and division.The addition of two whole numbers results in the total amount or sum of those values combined. The example in the adjacent image shows a combination of three apples and two apples, making a total of five apples. This observation is equivalent to the mathematical expression "3 + 2 = 5" (that is, "3 plus 2 is equal to 5").
Here, what we can do is use addition to find the number one more than 39.
= 39 + 1
= 40
HELP ME PLEASE : Math is a bit different at the North Pole. Can you solve this math with Christmas symbols problem?
The sum of the two Santa models is 24.
What is a mathematical function, equation and expression? function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is math is a bit different at the north pole and a problem is shown in the image.
We can assume the three variables as : [x], [y] and [z]. So, we can write the equations as -
3x = 21 ........ Eq[1]
y + z = 16 ........ Eq[2]
x + y - z = - 1 ........ Eq[3]
Now, it is given that -
3x = 21
x = 21/3
x = 7
and
y + z = 16
y = 16 - z
So, we can write the equation as -
x + y - z = - 1
7 + 16 - z - z = - 1
23 - 2z = - 1
2z = 24
z = 12
So, we can write -
[z] + [z] = 12 + 12 = 24
Therefore, the sum of the two Santa models is 24.
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What is the y-intercept of the exponential function?
Answer:
y- intercept = - 1
Step-by-step explanation:
to find the y- intercept, let x = 0 in f(x) and evaluate
using rule of exponents
[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]
given
f(x) =- 32[tex](2)^{x-3}[/tex] + 3 , then
f(0) = - 32 [tex](2)^{0-3}[/tex] + 3
= - 32 [tex](2)^{-3}[/tex] + 3
= - 32 × [tex]\frac{1}{2^3}[/tex] + 3
= - 32 × [tex]\frac{1}{8}[/tex] + 3
= - 4 + 3
= - 1 ← y- intercept
What is the median of 25 and 29?
The median of the set of numbers 25 and 29 is 27. This is the average of the two middle numbers in the ordered set, and it is not affected by extreme values or outliers.
The median of a set of numbers is the value that is exactly in the middle of the set when it is ordered from least to greatest. In this case, the set of numbers is 25 and 29. When we order this set from least to greatest, we get 25, 29. There are two numbers in this set, so the median is the average of the two middle numbers, which is the only number in the set. The only number in this set is 27, so the median is 27.
To find the median, we first need to arrange the numbers in order from least to greatest. If there is an odd number of numbers in the set, the median is the middle number. If there is an even number of numbers in the set, the median is the average of the two middle numbers. In this case, there are two numbers in the set, so the median is the average of the two middle numbers.
In summary, the median of the set of numbers 25 and 29 is 27. This is the average of the two middle numbers in the ordered set, and it is not affected by extreme values or outliers.
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a team of researchers gets a list of all 500 members of an organization they want to include in the study. they only have funding and time to survey 50 members. they take the list of members, randomly select a starting point, and select every 10th name from the list for the sample. what is the sampling interval?
The required sample interval in the given situation is 10.
What is the sampling interval?The sampling interval is the space or period of time in which measurements or data collection occur.
This is known as the "nth selection" in research and occurs when we choose the nth participant (or sample unit) from the list; this sampling interval results in a random selection from the entire population.
Calculating the sampling interval involves dividing the population size by the desired sample size to arrive at the predetermined periodic interval.
So, have a population size of 500 people.
The number of members to be selected is only 50.
We already know that to find the sample interval, we should divide the population size bu the required sample size.
Now, calculate the sample interval as follows:
= 500/50
= 50/5
= 10
Therefore, the required sample interval in the given situation is 10.
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Is the square root of an integer always irrational Why or why not?
No, the Square root of an integer is not always irrational because the square root of perfect squares is not irrational.
What is an irrational number?Any real number that cannot be written as p/q, where p and q are both integers, the quotient of two integers.
If a number is not a perfect square, the square root of that number is not rational.
For example, the square root is 4 is 2.
The square root of 9 is 3.
But whereas the square root of 5 is 2.23606797755555...... which is irrational
The square root of 8 is 2.8284271247555..... which is irrational.
So, therefore square root of a number is not irrational always it can be rational also.
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