What is the greatest common factor of {42,10}
Answer:
5
Step-by-step explanation:
the sum of two consecutive integers is 65. find the two numbers
Answer:
x=32
x+1=33
Step-by-step explanation:
let the first consecutive integer be 'x'
let the second consecutive integer be 'x+1'
x+x+1=65
2x+1=65
2x=65-1
2x=64
x=64÷2
x=32
x+1=(32+1)
x+1=33
It’s Election Day for a club. If a president and vice president are elected, how many combinations can be made among eight people
The number of combinations that can be made among eight people is given as follows:
56 combinations.
How to obtain the number of combinations?As there are different roles, the order is important, hence the permutation formula is used to solve this question.
The number of possible permutations of x elements from a set of n elements is given by:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
For this problem, two people are selected from a set of 8, hence the number of combinations is given as follows:
P(8,2) = 8!/6! = 8 x 7 = 56 combinations.
More can be learned about the permutation formula at https://brainly.com/question/12468032
#SPJ1
Karen divided 560.9 by 10³ and got
a quotient of 0.5609. Julio thinks the
quotient should be 5.609. Who is correct?
Explain your answer.
Karen divided 560.9 by 10³ and got a quotient of 0.5609 ,therefore he is right.
What do you mean by division?
Multiplication is the opposite of division. If 3 groups of 4 add up to 12, then 12 divided into 3 groups of equal size results in 4 in each group. Creating equal groups or determining how many people are in each group after a fair distribution is the basic objective of division.
What do you mean by quotient ?
In mathematics, the outcome of dividing two numbers is called the quotient. In other words, the result quotient is obtained by dividing a dividend by a divisor.
How to Divide a Long Number by Decimals?
Move the decimal point all the way to the right while keeping track of how many places you've moved it if the number you're dividing by has a decimal. Then, move the decimal point the same number of places to the right in the number you are dividing.Put a decimal point immediately above the one in the number under the division bar in the quotient (answer) space.Divide until the remainder equals zero or until your answer contains enough decimal points. If the remainder repeats, you can stop as well because this shows that your answer is a repeating decimal.Hence, Karen divided 560.9 by 10³ and got a quotient of 0.5609.
It is Right answer for the this division, and steps are uploaded in mage kindly see the image also.
Learn more about Division click here:
https://brainly.com/question/25289437
#SPJ1
In contrast to Supervised learning, Unsupervised learning has more models and more evaluation meth used in order to ensure the outcome of the model is accurate. This statement is overall a false statement.
An unsupervised learning model might give a less accurate outcome if compared to supervised learning.
1. Algorithms of unsupervised learning are taught using the data that are unlabeled.
2. The model of unsupervised learning doesn't take any feedback.
3. In unsupervised learning, we see that only input data is supplied to the model, no output data.
Assess reasonableness a monument will be at the circumcenter of a triangular plot of land at the state capital. on the coordinate grid, the vertices of the triangular plot of land are a(1, 5) , b(7, 5) , and c(8, 0) .
Overall, the statement that Unsupervised learning has more models and more evaluation methods used in order to ensure the outcome of the model is accurate is false. Unsupervised learning algorithms are taught using data that may be labeled, but in most cases the labels are not used to infer the model. The model of unsupervised learning does not take any feedback, as it is not supervised, and only input data is supplied to the model, no output data. The evaluation of unsupervised learning models relies on different metrics such as clustering accuracy, silhouette coefficient, etc. Unsupervised learning algorithms are used for tasks such as clustering, anomaly detection and density estimation.
assess reasonableness a monument will be at the circumcenter of a triangular plot of land at the state capital. on the coordinate grid, the vertices of the triangular plot of land are a(1, 5) , b(7, 5) , and c(8, 0) .
learn more about coordinate here
https://brainly.com/question/27749090
#SPJ4
Which of the following are square properties? Choose ALL that apply.
Four right angles.
Exactly one pair of parallel sides.
Diagonals are perpendicular.
Diagonals are congruent.
∠A and ∠B are vertical angles. If angle A=(8x-23) and angle B=(6x-5) then find the measure of ∠A.
The measure of ∠A is 49.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Vertical angles are equal.
∠A = 8x - 23
∠B = 6x - 5
Now,
8x - 23 = 6x - 5
8x - 6x = -5 + 23
2x = 18
x = 9
Now,
∠A.
= 8x - 23
= 8 x 9 - 23
= 72 - 23
= 49
Thus,
∠A is 49.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ1
(-1,-4) that is perpendicular to the line Y=-2/3x+1
the equation of line perpendicular to y=-2/3x+1 will be y = 3/2x -5/2.
What is equation straight line?
Y = mx + c is the general equation for a straight line, where m denotes the line's slope and c the y-intercept. It is the version of the equation for a straight line that is used most frequently in geometry. There are numerous ways to express the equation of a straight line, including point-slope form, slope-intercept form, general form, standard form, etc. A straight line is a geometric object with two dimensions and infinite lengths at both ends. The formulas for the equation of a straight line that are most frequently employed are y = mx + c and axe + by = c. Other versions include point-slope, slope-intercept, standard, general, and others.
The line given y=-2/3x+1
here the slope is -2/3
So the slope of the required line will be m2 = - 1/m1
m2 = 3/2
The required line equation will be [tex]\frac{y+4}{x+1}[/tex] = 3/2
2(y+4) = 3(x+1)
2y+8= 3x+3
y = 3/2x -5/2
Hence the equation of line perpendicular to y=-2/3x+1 will be y = 3/2x -5/2.
Learn more about straight line, by the following link
https://brainly.com/question/16949303
#SPJ1
she created ordered pairs, (height , weight), from the data and found they defined a function. which of the following actions would cause alex's set of ordered pairs to no longer define a function?
Option(B) is the correct answer. The answer is - Adding data from a student who is 154 cm tall and weighs 69kg.
A function is a set of ordered pairs in which no two different ordered pairs have an identical x -coordinate. An equation that makes such a set of ordered pairs defines a function.The domain of the function is the set of all inputs and the range of the function is the set of all outputs. To check to see if a set of ordered pairs or a list presented by a table is a function or not, check to make sure that each input value is paired with only one output value.Read more about function:
https://brainly.com/question/25638609
#SPJ4
Topic Probability
If you roll unbiased dice 600 times. how many would you expect to obtain
a)a one
b)an even number
c)an odd number
d)a number less than 3
e)a prime number
The number of times that you would expect to roll the numbers, when rolling an unbiased dice is:
a. 100 times
b. 300 times
c. 300 times
d. 200 times
e. 200 times
How to find the number of times ?There is only a single 1 in a six sided unbiased dice so the number of rolls is:
= 1 / 6 x 600
= 100 times
There are 3 even numbers ( 2, 4, and 6) so the number of rolls :
= 3 / 6 x 600
= 300 times
There are 3 odd numbers ( 1, 3, 5 ) so number of rolls is:
= 3 / 6 x 600
= 300 times
There are 2 numbers less than 3 which are 1 and 2 :
= 2 / 6 x 600
= 200 times
There are 2 prime numbers ( 2 and 3 ):
= 2 / 6 x 600
= 200 times
Find out more on unbiased dice at https://brainly.com/question/29177356
#SPJ1
Vigorous exercise helps people live several years longer (on average). Whether mild activites like slow walking extend life is not clear. Suppose that the added life expectancy from regular slow walking is just 2 months. A statistical test is more likely to find a significant increase in mean life expectancy if:
(a) it is based on a very large random sample and a 5% significance level is used.
(b) it is based on a very larg random sample and a 1% significance level is used.
(c) it is based on a very small random sample and a 5% significance level is used.
(d) it is based on a very small random sample and a 1% significance level is used.
(e) the size of the sample doesnt have any effect on the significance of the test.
A statistical test is more likely to find a significant increase in mean life expectancy if it is based on a very large random sample and a 1% significance level is used.
As per the given data
Vigorous exercise helps people live several years longer.
The mild activities like slow walking extend life is not clear.
The added life expectancy from regular slow walking is just 2 months.
Here we have to determine that when a statistical test is more likely to find a significant increase in mean life expectancy.
The increase in life expectancy regarding regular slow walking should be considerably greater than 2 months, which means that the a larger sample is needed to give a more precise result
The chances of finding significant results increases when we increase sample size or use a higher significance level.
So, among the given options, significant results will be achieved
If it is based on a very large random sample and a 1% significance level is used.
Therefore option (b) is correct.
For more questions on random sample
https://brainly.com/question/27960722
#SPJ4
Evaluate the expression 3s - 4q - m² where m= 4, q= -3, and s = -24.
We can substitute the given values into the expression to find the result:
3s - 4q - m² = 3(-24) - 4(-3) - 4² = 72 + 12 - 16 = 60.
So the expression equals 60 when m= 4, q= -3, and s = -24.
Please help me!! It is 5 questions
You prοbably know our football and basketball teams, but we have 21 Divisiοn I varsity programs that all raise the bar whenever they compete.
How many attended the Nοrth Carolina State or the Butler game?There were 465 people whο were surveyed in all.
The attendance at the FSU-Marist game was (M), n(M)=240.
The attendance at the FSU-Butler game was (B), n(B)=200.
The tοtal number οf spectators for the FSU-NC State game was n(NCS)=240.
The cοmbined attendance at the NC State game and the Marist game was n(MNCS)=90.
The cοmbined attendance at the Butler vs. NC State game was n(NCSB)=80.
The cοmbined attendance at the Butler and Marist games was n(BM)=100.
n(MBNCS)=30 peοple attended all three of the games.
When NC State's first football game was οrganised by students in 1892, the school's long histοry of intercollegiate athletics officially started.
To learn mοre about Butler game refer to :
https://brainly.com/question/29293809
#SPJ1
Which facts could be applied to simplify this expression? Check all that apply. 5 x + 3 y + (negative x) + 6 z Group of answer choices The simplified expression is 5 x + 3 y + 6 z. To add like terms, add the coefficients, not the variables. First add 5x + x. Only combine terms which contain the same variable. The simplified expression is 4 x + 3 y + 6 z.
Answer:
I dont understand what this is can you add a picture of the question?
Step-by-step explanation:
1,3,6,10,15,21,28 as a function
It seems that the sequence you provided is the sequence of triangular numbers. The function that generates this sequence could be defined as:
f(n) = n*(n+1)/2
Where n is the position of the number in the sequence.
So, for example:
f(1) = 1*(1+1)/2 = 1
f(2) = 2*(2+1)/2 = 3
f(3) = 3*(3+1)/2 = 6
and so on.
The 3-4-5 right triangle is a commonly used right triangle. Use the inverse sine function to determine the measure of the angle opposite the side of length 3.
The measure of the angle opposite the side of length 3 is approximately 53.13 degrees.
To find the measure of the angle opposite the side of length 3, we need to use the inverse sine function. The inverse sine function can be written as sin^−1(x). We can use the Pythagorean Theorem to calculate the side length of the triangle, which is 3^2 + 4^2 = 5^2. Therefore, we can use the inverse sine function to calculate the measure of the angle opposite the side of length 3. To do this, we will take the ratio of the side of length 3 to the hypotenuse, which is 3/5. We can then plug this value into the inverse sine function, which gives us sin^−1(3/5). Calculating this value gives us approximately 53.13 degrees, which is the measure of the angle opposite the side of length 3.
Learn more about angle here
https://brainly.com/question/28451077
#SPJ4
Sove the inequality, I need the step by step for this please
|x +1|>-3
The solution for the inequality |x +1|>-3 is x > -4 or x < -4.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
To solve the inequality |x + 1| > -3, we need to consider two cases:
x + 1 > -3: In this case, we can subtract 1 from both sides to get x > -4.
x + 1 < -3: In this case, we can subtract 1 from both sides to get x < -4. However, we also need to reverse the inequality symbol because we are multiplying or dividing by a negative number.
So the solution for the inequality is x > -4 or x < -4.
To get the final solution, we need to consider the combined solution from both cases:
x < -4 or x > -4
This represents as follows:
[tex]\begin{bmatrix}\mathrm{Solution:}\:&\:\mathrm{True\:for\:all}\:x\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]
Learn more about the inequalities here:
brainly.com/question/20383699
#SPJ1
Please help me...I neep help
By using the formula for the mean:
(x₁ + x₂ + ...)/N
We will see that the mean is 7 minutes.
What is the mean of the times?If we have a set of N elements:
{x₁, x₂, x₃...}
The mean of these values is given by:
(x₁ + x₂ + ...)/N
Here we have a set of 3 points, such that the points are {5, 6, 10} the mean of these points is:
M = (5 + 6 + 10)/3
M = 21/3
m = 7
The mean of the tmes is 7 minutes.
Learn more about means by reading:
https://brainly.com/question/20118982
#SPJ1
If p is a prime number greater than 3, which of the following is not a factor of 6p
When p is a prime number greater than 3, the. option that is not a factor of 6p is A. p^2 (B
What is the factor about?The process of factorization simply has to do with the division of arithmetic algebraic expressions into the sum of their factors. in this case, multiplying the variables will yield the original expression. It means the writing of a number into smaller or simpler numbers that give the original number.
6*p / 6*p = 1
6*p / 3*p = 2
6*p / 2*p = 3
6*p / 3 = 2*p
6*p / p^2 = 6 / p which is not divisible by any prime number greater than 3.
The correct option is A.
Learn more about factor on:
https://brainly.com/question/25829061
#SPJ1
Complete question
If p is a prime number greater than 3, which of the following is NOT a factor of 6p ?
(A) p^2 (B) 6p (C) 3p (D) 2p (E) 3
Joanie is organizing her closet. She has 3 times as many black shirts as gray shirts, plus 3 new black shirts she just bought. She has 5 times as many white shirts as gray shirts, minus the one white shirt she donated. Joanie has 2 times more gray short than brown shirts. If she has the same number of black and white shirts, how many gray shorts does Joanie have?
If Joanie is organizing her closet. She has 3 times as many black shirts as gray shirts, plus 3 new black shirts she just bought. The number of gray shirts that Joanie have is: 2.
How to find the number of shirts?Let x represent the number of gray shirts
Let Joanie black shirts = 3x + 3
Let Joanie white shirts = 5x - 1
Let Joanie brown shirts = 2x
So,
3x + 3 = 5x - 1
Substract 3 from both side
3x + 3-3 = 5x - 1 -3
3x = 5x -4
Substract 5x from both side
3x-5x = 5x -4 -5x
-2x = -4
Divide both side by
x = -4/-2
x =2
Therefore, Joanie has 2 gray shirts.
Learn more about number of shirts here:https://brainly.com/question/12365809
#SPJ1
List the values of x at which f has a local minimum. Select the correct
choice below and fill in any answer boxes within your choice.p
The values of x at which the function has a local minimum are x = -4, 12.
What is the local minimum?The point in the domain of the functions with the lowest value is known as the local minimum. You may calculate the local minimum by determining the function's derivative. The first derivative and second derivative tests are the two key techniques for locating a function's local minimum.
There are several applications for the local minimum notion in business, economics, and engineering.
The least value of the function f(x) in the specified domain is essentially what the local minimum is.
From the graph, we observe
The value of the function f(x) is minimum at x = - 4 and x = 12
Therefore, x = -4, 12
To know more about the local minimum, visit:
https://brainly.com/question/10878127
#SPJ1
How long is the line of sight? Round your answer to the nearest hundredth.
Answer:
77.78 feet-----------------------
The line of sight is the hypotenuse of the 45° right triangle.
As per the property of the 45° right triangle, the length l is:
l = b√2 orl = 55×√2 ≈ 77.78 feetAnswer:77.7f
Step-by-step explanation: pythagorean theorem
55*55=3025
3025*2=6050
square root 6050=77.7
a) You see a general expression written as ax? + bx4 + cx3 + dx2, determine the possible number of zeroes that could exist. (2 marks) b) Factor 2x3 - 9x2 + 7x + 6 and list all roots for the expression. (7 marks) c) Given that x = -1 and x = 2 are roots for ax4 + 3x3 – 12x2 + bx + 6, determine the values of a and b. (7 marks)
The maximum number of zeroes in a generic equation with the form axe? + bx4 + cx3 + dx2 is 5.
What is meant by expression?A mathematical expression is a phrase that includes at least two numbers or variables, at least one arithmetic operation, and the expression itself. Any one of the following mathematical operations can be used.A statement using numbers, variables, and operations is known as an expression. An equation has an equals sign, whereas an expression lacks one. This is the main distinction between the two types of sentences. Terms and operations are used to create mathematical expressions.a) [tex]$ax^{5}[/tex]
b) Factor 2x3 - 9x2 + 7x + 6 is
(x - 3) (x -2) (2x + 1)
c) x = -b / 2a
Replace x by -2, from the vertex:
-2 = -b / 2a
Solve for b:
-b = -4a
Or
b = 4a
By evaluating the equation with the vertex's x-value, we can determine the y-value from the vertex:
y = ax2 + 4ax - 6
Simplify, 6 for y, and -2 for x:
6 = a(-2)2 + 4a(-2) - 6
6 = 4a - 8a - 6
solve for a:
a = -3
Simplifying the above equation,
b = 4a, b = -12
The value for a is -3.
The value for b is -12
T0 learn more about expression, refer to:
https://brainly.com/question/1852123
#SPJ4
while grading her students' most recent quiz on equation solving, mrs. jones calculated that approximately forty percent of her students answered question number 14 with multiple choice option b, while the other sixty percent answered a or c. question #14 from Mrs. Jones's students' most recent quiz:
14) Solve the single variable equation for n.
a.n=3
b.no solution
c.infinitely many solutions
Use complete sentences to compare the similarities and differences of each of the multiple choice answer options A-C. In your answer, rationalize why a student would choose each of the options as the correct answer
If while solving an equation, a single value is obtained for the variable, then the equation has only a single solution.
The option (a) is n=3.
If while solving an equation, a single value is obtained for the variable, then the equation has only a single solution. If n=3 is obtained after solving the equation, then the student should chose option (a) as the answer.
The option (b) is "no solution".
While solving an equation, if we obtain an equation which is mathematically false, then the equation will have no solution. So, no solution is chosen when no value is obtained for n and the final equation is mathematically false.
The option (c) is "infinitely many solutions".
While solving an equation, if we obtain an equation which is mathematically correct such as 0=0, 7=7 etc., then the equation will have infinietly many solutions. So, infinitely many solutions is chosen when no value is obtained for n and the final equation is mathematically correct.
learn more about of variable here
https://brainly.com/question/29121844
#SPJ4
2
10 points
(2p+3)(3p-2)
O5p²-23p-10
O 6p²+5p-6
O 6p²-6
O 5p²-10
Answer:
B. 6p²+5p-6
Step-by-step explanation:
[tex]\bf \left(2p+3\right)\left(3p-2\right)[/tex]
Let's apply the FOIL method:-
[tex]\bf \left(2p+3\right)\left(3p-2\right)=[/tex]
[tex]\bf 2p\times \:3p+2p\left(-2\right)+3\times\:3p+3\left(-2\right)[/tex]
[tex]\bf 6p^2-4p+9p-6[/tex]
[tex]\bf 6p^2+5p-6[/tex]
Therefore, option B. 6p²+5p-6, is your answer!
__________________
Hope this helps!
Have a great day!
whats 2 2 56799065 times 569050890562 plus 69 x 420 plus 9 10 9 10 21 69 420 21 - 9 x3 y3 z3
The answer for 2 2 56799065 times 569050890562 plus 69 x 420 plus 9 10 9 10 21 69 420 21 - 9 x3 y3 z3 is 32185024125880310
Let x = 2, y = 56799065, z = 569050890562, a = 69, b = 420 and c = 9.
The equation is: 2x + y × z + a × b + (9 + 10 + 9 + 10) × (21 + 69 + 420 + 21) - 9 × 3 × y × 3 × z × 3
We can calculate this equation as follows:
2 × 2 + 56799065 × 569050890562 + 69 × 420 + (9 + 10 + 9 + 10) × (21 + 69 + 420 + 21) - 9 × 3 × 56799065 × 3 × 569050890562 × 3
= 4 + 32185023742042530 + 28380 + 145800 - 1365466177461590
= 32185024125880310
Learn more about equation here:
https://brainly.com/question/29657983
#SPJ4
A triangle is partitioned into three triangles and a quadrilateral by drawing two lines from vertices to their opposite sides. The areas of the three triangles are 10, 20, and 16, as shown. What is the area of the shaded quadrilateral? （ ）
A. 24
B. 28
C. 32
D. 36
E. 44
the area of the shaded quadrilateral is equal to the sum of area of triangle AOC and BOC is equal to 110 unit square.
Suppose area of triangle CEO = x and area of COD =y
OE : OB = 16:20 (Ratios of the areas of AEO and AOB)
Hence, Area of CEO : Area COB = 16:20
Area of CEO : (Area of COD +Area of DOB) = 16;20
x : (y+10) = 16:20
10x=5(y+10) ........(1)
AO : OD = 20:10 (Ratios of the areas of AOB and DOB)
Hence, Area of AOC : Area DOC = 20:10
(Area of AOE + Area of COE) : Area of DOB= 20:10
(16+x) : y = 20:10
16+x=2y.......(2)
From (1) and (2)
x=68 and y=42
so the area of quadrilateral is 110.
learn more about quadrilateral .
https://brainly.com/question/13805601
#SPJ4
Which coordinates are solutions to the equation? Select ALL that apply.
2x−y=20
(10, 0)
(15, 10)
(5, 7)
(-4, -28)
except point (5, 7) all given coordinates are on the line.
What are coordinates?A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.
given, an equation 2x−y=20
to check what are the coordinate of the equation:
The easiest way to find out if a point falls on a specific line is to plug the first value of the point in for x and the second value for y.
Thus, For Coordinates(10, 0)
2x−y=20
=> 2 * 10 - 0 = 20
=> 20 = 20
Thus Coordinates are on the line.
Thus, For Coordinates(15, 10)
2x−y=20
=> 2 * 15 - 10 = 20
=> 30 -10 = 20
=> 20 = 20
Thus Coordinates are on the line.
Thus, For Coordinates(5, 7)
2x−y=20
=> 2 * 5 - 7 = 20
=> 3 = 20
Thus Coordinates are not on the line.
Thus, For Coordinates(-4, -28)
2x−y=20
=> 2 * -4 - (-28) = 20
=> -8 + 28 = 20
=> 20 = 20
Thus Coordinates are on the line.
Therefore, except point (5, 7) all given coordinates are on the line.
Learn more about coordinates here:
https://brainly.com/question/20282507
#SPJ1
The dog shelter has Labradors, Terriers, and Golden Retrievers available for adoption. If P(terriers) = 85%, interpret the likelihood of randomly selecting a terrier from the shelter.
A. Likely
B. Unlikely
C. Equally likely and unlikely
D. This value is not possible to represent probability of a chance event
The dog shelter has Labradors, Terriers, and Golden Retrievers available for adoption. P(terriers) = 85% is likely Option B
What is probability?Generally, Probability is the area of mathematics that deals with providing numerical descriptions of the likelihood that an event will take place or the likelihood that a statement will be correct.
A number between 0 and 1 may be thought of as representing the chance of an event happening, with 0 indicating that the occurrence is impossible and 1 indicating that it will definitely happen.
Read more about probability
https://brainly.com/question/30034780
#SPJ1
A mother is 66 inches tall, and her daughter is 33 inches tall. Which of the following equations describes the relationship between m, the height of the mother, and g, the height of the daughter?
A. g=2/m
B. g = 2m
C. g=m/2
D. g=m-2
Answer: your answer is c
Step-by-step explanation:
