Answer:
1.) 1 ,2, 31, 62
2.) 1, 3, 5, 9
3.) 540
Step-by-step explanation:
1.) 1x62= 62
2x31= 62
31x2= 62
62x1=62
Each of these number are a multiple of 62.
2.) 1x45=45
3x15=45
5x9= 45
9x5= 45
3.) 420÷2= 210
420÷3= 140
420÷5= 84
420÷6= 70
420÷9= 46.667 This number is not a multiple of 420 because the answer is in decimals which means 9 is not divisible by 420
540÷2= 270
540÷3= 180
540÷5= 108
540÷6= 90
540÷9= 60
540÷10= 54
2, 3, 5, 6, 9 and 10 is divisible by all of these numbers
Answer:
1) 1 ,2, 31, 62
2) 1, 3, 5, 9
3.) 540
Step-by-step explanation:
1) 62 would be divisible by 2 because its an even number, and if you split 62 in half, you would get 31.
2) 4+5 = 9. 3 and 9 are both divisible by 9, and 5 is divisible by 5.
3) All of the numbers are divisible by 10, 5, and 2 in the list. 250 is not divisible by 3, so we can take it off the list. The rest of the numbers are all divisible by 6. All we have left is 9. Both 420 and 510 add their values up to 6, which is not divisible by 9. That leaves us with 540 as our answer.
-kiniwih426
what is the graph of the sequence defined by the function f(x+1)=2/3f(x) if the initial value of the sequence is 108?
Pls help I have this homework !! bye I will mark you the best or brainliest!!
Answer:
90-54w
Step-by-step explanation:
18(5−3w)=
18*5=90 , 18*3w= 54w =
so simplified it would be = (90-54w)
Please mark me as brainliest :D
What is the equation of the line that passes
through the point (3, 1) and the point (6,-1)?
Answer:
C.
Step-by-step explanation:
Hope this helped!
Niah has 34 gems and gives 8 to her sister how much does Niah have now?
Answer:
answer is 26 gems
Step-by-step explanation:
you subtract 8 from 34 and you get 26 as your answer
I have to solve this: (2x + 2/5)+(5x-4/5) and then simplify it.
Answer:
35x - 2
———————
5
i hope this helps
Step-by-step explanation:
Answer:
7x + 6/5 or 7x + 1 1/5
Step-by-step explanation:
Ya welcome.
A textbook store sold a combined total of 231 math and chemistry textbooks in a week. The number of math textbooks sold was two times the number of
chemistry textbooks sold. How many textbooks of each type were sold?
Number of math textbooks sold:
Number of chemistry textbooks sold:
The number of math textbooks sold is equal to 154 math textbooks.
The number of chemistry textbooks sold is equal to 77 chemistry textbooks.
How to write an equation to represent the cost?In order to write an equation that model this situation, we would assign variables to the number of math textbooks sold and the number of chemistry textbooks sold respectively, and then translate the word problem into algebraic equation as follows:
Let the variable x represent the number of math textbooks sold.Let the variable y represent the number of chemistry textbooks sold.Since the textbook store sold a combined total of 231 math and chemistry textbooks, an equation that models the situation is given by:
x + y = 231
Additionally, the number of math textbooks sold (x) was two times the number of chemistry textbooks sold (y);
x = 2y
By solving the systems of equation simultaneously, we have:
2y + y = 231
3y = 231
y = 77 chemistry textbooks.
For the math textbooks sold (x), we have:
x = 2(77)
x = 154 math textbooks.
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determine if the graph represents a function
Answer:
the asnwer is YES
Step-by-step explanation:
Answer:
Step-by-step explanation:
i think it 3256
Given the diagram, find the value of x and y.
50
y =
Answer:
no diagram
Step-by-step explanation:
no diagram is attached
An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 31 feet up. The ladder makes an angle of 78
with the ground. Find the length of the ladder. Round your answer to the nearest tenth of a foot if necessary.
Answer:
30.7 ft ladder length
Step-by-step explanation:
The ladder makes the hypotenuse of a right triangle
31 feet is the opposite leg of 78 degree angle
sin 78 = opposite / hypotenuse
sin 78 = 30/ hypot
30 / (sin 78 ) = hypotenuse = 30.7 ft
Answer:31.7
Step-by-step explanation:
please help for brainliest and a lot of points
Answer:The solution is in the attached file
Step-by-step explanation:
Find the particular solution of the differential equation that satisfies the initial condition.
f '(x) = 6x, f(0) = 3
f(x) =
The particular solution of the differential equation that satisfies the initial condition f(0) = 3 is f(x) = 3x^2 + 3.
To solve the differential equation f'(x) = 6x, we can integrate both sides with respect to x:
∫f'(x) dx = ∫6x dx
f(x) = 3x^2 + C
where C is the constant of integration.
To find the particular solution that satisfies the initial condition f(0) = 3, we can substitute x = 0 and f(x) = 3 into the equation above:
3 = 3(0)^2 + C
C = 3
Therefore, the particular solution of the differential equation that satisfies the initial condition f(0) = 3 is:
f(x) = 3x^2 + 3.
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suppose that two boys named davis, three boys named jones, and four boys named smith are seated at random in a row containing nine seats. what is the probability that the davis boys will occupy the first two seats in the row, the jones boys will occupy the next three seats, and the smith boys will occupy the last four seats?
The probability that the Davis boys will occupy the first two seats in the row, the Jones boys will occupy the next three seats, and the Smith boys will occupy the last four seats is 7.937×\(10^{-4}\).
There are \(\left[\begin{array}{ccc}9\\2,3,4\\\end{array}\right]\) potential arrangements for the nine boys if we do not make a distinction amongst boys with the same last name. We are curious in the likelihood of a specific one of these configurations.
Probability = \(\frac{1}{\left[\begin{array}{ccc}9\\2,3,4\\\end{array}\right]}\)
= \(\frac{2!3!4!}{9!}\)
= 0.0007937
= 7.937×\(10^{-4}\)
Hence, the probability is 7.937×\(10^{-4}\).
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Find x and y so the quadrilateral is a parallelogram.
Answer:
Step-by-step explanation:
6y-42=4y
2y=42
y=21
6x-12=2x+36
4x=48
x=12
Rotate ∆ABC by 90° clockwise, about the origin, and then reflect in the x-axis.
What are the coordinates of the new triangle?
Answer:
A = (1, 1)
B = (3, 2)
C = (2, 4)
Step-by-step explanation:
Vertices of the triangle:
A = (1, 1)B = (2, 3)C = (4, 2)Mapping rule for a 90° clockwise rotation about the origin:
(x, y) → (y, -x)
Therefore:
A' = (1, -1)B' = (3, -2)C' = (2, -4)Mapping rule for a reflection in the x-axis:
(x, y) → (x, -y)
Therefore:
A'' = (1, 1)B'' = (3, 2)C'' = (2, 4)Therefore, the coordinates of the new triangle are:
A = (1, 1)B = (3, 2)C = (2, 4)the absolute value of a number is defined as follows. for a number x that is positive or zero, the absolute value of x is x. otherwise, when x is a negative number, the absolute value of x is -x, or in other words the same as x but without the minus sign. for example the absolute value of 5 is 5, and the absolute value of -10 is 10.
The provided code correctly determines the absolute value of an input number using if-else statements and produces the expected output.
The program that reads an integer as input and prints its absolute value using if and else statements is :
x = int(input())
# if x is negative if(x < 0):
print(-1*(x))
# else,
when x is positive else:
print(x);
The provided code correctly reads an integer input using int(input()). It then checks if the input number, x, is negative by using condition x < 0. If x is indeed negative, code multiplies it by -1 and prints result, which effectively removes negative sign and gives absolute-value.
If x is positive or zero, the code simply prints x as it is, since the absolute value of a positive number is itself. Overall, the code correctly determines the absolute value of input number using if-else statements and produces the expected output.
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The given question is incomplete, the complete question is
The absolute value of a number is defined as follows. For a number x that is positive or zero, the absolute value of x is x. Otherwise, when x is a negative number, the absolute value of x is -x, or in other words the same as x but without the minus sign. For example the absolute value of 5 is 5, and the absolute value of -10 is 10.
Using if and else, write a program that reads an integer as input, and prints its absolute value.
The best fitting line minimizes the sum of the squared errors when using ______. Multiple choice question. the high-low method scattergraph analysis least-square regression
The best fitting line minimizes the sum of the squared errors when using least-square regression.
When trying to find the best fitting line to a set of data points, the goal is to minimize the differences between the observed data and the predicted values on the line.
The least-square regression method achieves this objective by minimizing the sum of the squared errors, which is the sum of the squared vertical distances between each data point and the corresponding point on the line.
By using the least-square regression approach, we can determine the line that provides the best overall fit to the data by minimizing the total squared differences. This method takes into account all the data points and calculates the line that best represents the relationship between the variables of interest.
The least-square regression line is often referred to as the "best fitting" line because it provides the most accurate prediction of the dependent variable based on the independent variable(s). It is widely used in various fields, including statistics, economics, and social sciences, to analyze and model relationships between variables.
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help pleasee! with Proof of work! :))
Answer:
w = 4
x = 3
y = -2
z = 5
Step-by-step explanation:
You can see how I got the answer on the pic that I gave
Which groups of numbers could 1/3 fall under. Natural,whole,integer,or rational
Answer:
The number 1/3 is a rational number. A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, with the denominator q not equal to zero.
1/3 is not a natural number, whole number, or integer. Natural numbers are the set of positive integers (1, 2, 3, …). Whole numbers are the set of non-negative integers (0, 1, 2, 3, …). Integers are the set of whole numbers and their additive inverses (-3, -2, -1, 0, 1, 2, 3, …).
Step-by-step explanation:
(c) prove that for any positive integer n, 4 evenly divides 11n - 7n.
By mathematical induction, we have proved that for any positive integer n, 4 evenly divides 11n - 7n.
WHat is Divisibility?
Divisibility is a mathematical property that describes whether one number can be divided evenly by another number without leaving a remainder. If a number is divisible by another number, it means that the division process results in a whole number without any remainder. For example, 15 is divisible by 3
To prove that 4 evenly divides 11n - 7n for any positive integer n, we can use mathematical induction.
Base Case:
When n = 1, 11n - 7n = 11(1) - 7(1) = 4, which is divisible by 4.
Inductive Step:
Assume that 4 evenly divides 11n - 7n for some positive integer k, i.e., 11k - 7k is divisible by 4.
We need to prove that 4 evenly divides 11(k+1) - 7(k+1), which is (11k + 11) - (7k + 7) = (11k - 7k) + (11 - 7) = 4k + 4.
Since 4 evenly divides 4k, and 4 evenly divides 4, it follows that 4 evenly divides 4k + 4.
By mathematical induction, we have proved that for any positive integer n, 4 evenly divides 11n - 7n.
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dida bought a scratch ticket for $2.00. the potential payoffs and probability of those payoffs are shown below. value probability $0.00 0.15 $0.50 0.50 $1.00 0.20 $2.00 0.10 $10.00 0.05 what is the expected value for the scratch ticket that dida bought?
Therefore, the expected value(using probability) of the scratch ticket that Dida bought is $1.15. This means that, on average, if Dida were to buy many such scratch tickets, she could expect to win an average of $1.15 per ticket over the long run.
Explain the principles of probability with an example.It is built on the prospect of a coming event. One of the most important aspects of probability theory is the justification for probability. For instance, there is a theoretical one in two chance that a coin would land on its head.
The expected value of the scratch ticket is the sum of the products of each possible value and its corresponding probability.
Expected value = (0.00 * 0.15) + (0.50 * 0.50) + (1.00 * 0.20) + (2.00 * 0.10) + (10.00 * 0.05)
Expected value = 0.00 + 0.25 + 0.20 + 0.20 + 0.50
Expected value = 1.15
Therefore, the expected value of the scratch ticket that Dida bought is $1.15. This means that, on average, if Dida were to buy many such scratch tickets, she could expect to win an average of $1.15 per ticket over the long run.
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Complete the square to rewrite y = x2 + 8x+ 3 in vertex form, and then identify
the minimum y-value of the function.
Please answer ASAP!!!
====================================================
Work Shown:
y = x^2 + 8x + 3 is the same as y = 1x^2 + 8x + 3
It is in the form y = ax^2 + bx + c
a = 1
b = 8
c = 3
Plug the values of a and b into the formula below to get the x coordinate of the vertex (h,k)
h = -b/(2a)
h = -8/(2*1)
h = -8/2
h = -4
Plug this into the original equation to get its paired y value. This will get us the value of k
y = x^2 + 8x + 3
y = (-4)^2 + 8(-4) + 3
y = 16 - 32 + 3
y = -13
This is the smallest y output possible. Therefore it is the minimum. The minimum occurs at the vertex (h,k) = (-4, -13)
We know we are dealing with a minimum because a = 1 is positive forming a parabola that opens upward. If a < 0, then the parabola would open downward to yield a maximum.
Help please <3 Might give brainiest if the answer is correct
Answer:
c
Step-by-step explanation:
The general form of a reciprocal function is r(x) = a / (x - h) + k. The graphs of reciprocal functions are made up of branches, which are the two main parts of the graph; and asymptotes, which are horizontal and vertical lines that the graph approaches but doesn't touch.
Answer:
I'm pretty sure it's graph C
Which value for x makes the sentence true?
1/40 + X = 1/8.
А. 3/20
B. 1/10
C. 1/24
D. 1/32
Answer:
B
Step-by-step explanation:
\( \frac{1}{40} + x = \frac{1}{8} \)
\(40( \frac{1}{40}) + (40)x = 40( \frac{1}{8} )\)
\(1 + 40x = 5 \times 1\)
\(1 + 40x = 5\)
\(40x = 5 - 1\)
\(40x = 4\)
\( \frac{40x}{40} = \frac{4}{40} \)
\(x = \frac{1}{10} \)
Answer:
1/10
Step-by-step explanation:
FIND THE DEGREE OF THE TERM 7X^3
Answer: uh its just 3
the degree is the power of the exponent on the x term
Help with solving simulatenous equations with 1 quadratic . question attached
Answer:
x = 1/2, y = 17/2
x = -3, y = 12
Answer:
x= -3, y=12
x=1/2, y=8 1/2
Step-by-step explanation:
y = 9-x
y= 2x²+4x+6
9-x= 2x²+4x+62x²+5x-3=0solving, we get
x= -3 and x= 1/2then
for x= -3, y= 9+3= 12for x=1/2, y= 9-1/2= 8 1/2Hey I need help an yall help me?
Q1: what is the measure of angle 2
Q2: what is the measure of angle 9
Q3: what is the measure of angle 10
Q4: what is the measure of angle 7
Answer:
angle 2 is 104
angle 9 is 66
angle 10 is 114
angle 7 is 76
Step-by-step explanation:
A rectangle is four times as long as it is wide. If it has an area of 36 square inches, what are its dimension?. a. 6 by 6 c. 4 by 9 b. 3 by 12 d. 4 and 8 Please select the best answer from the choices provided A B C D
Answer:
B. 3 by 12
Step-by-step explanation:
\(x(4x) = 36\)
\(4 {x}^{2} = 36\)
\( {x}^{2} = 9\)
\(x = 3\)
\(4x = 12\)
So the length is 12 inches, and the width is 3 inches.
Can anyone solve this, tommorow is my exam
Answer:
∠L = 113°∠O = 67°Step-by-step explanation:
Given a transversal crossing parallel lines and supplementary angles (x+8°) and (2x-5°), you want to find the measures of angles L and O, supplementary to each of these.
Consecutive interior anglesWhere a transversal crosses parallel lines, consecutive interior angles are supplementary. Using the given expressions, this means ...
(x +8°) +(2x -5°) = 180°
3x +3° = 180° . . . . . . . . . simplify
x +1° = 60° . . . . . . . divide by 3
x = 59° . . . . . . subtract 1°
Then the acute angle is ...
x+8° = 59° +8° = 67°
and the obtuse angle is ...
2x -5° = 2(59°) -5° = 113°
Relation to other anglesAngle L corresponds to angle (2x-5°), so is congruent:
∠L = 113°
Angle O is an alternate interior angle with respect to angle (x+8°), so is congruent:
∠O = 67°
1. What are the 3 conditions for a function to be continuous at xa? 2. the below. Discuss the continuity of function defined by graph 3. Does the functionf(x) = { ***
The three conditions for a function to be continuous at a point x=a are:
a) The function is defined at x=a.
b) The limit of the function as x approaches a exists.
c) The limit of the function as x approaches a is equal to the value of the function at x=a.
The continuity of a function can be analyzed by observing its graph. However, as the graph is not provided, a specific discussion about its continuity cannot be made without further information. It is necessary to examine the behavior of the function around the point in question and determine if the three conditions for continuity are satisfied.
The function f(x) = { *** is not defined in the question. In order to discuss its continuity, the function needs to be provided or described. Without the specific form of the function, it is impossible to analyze its continuity. Different functions can exhibit different behaviors with respect to continuity, so additional information is required to determine whether or not the function is continuous at a particular point or interval.
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