Answer:
A = {2, 4}
Step-by-step explanation:
This can be written as
A = {2, 4}
what can be the words type question on the following topics.
algebra and hcf and lcm
at least 13
for 50 point
please dont joke
Answer:
(i) Find the smallest number which, on being added 23 to it, is exactly divisible by 32, 36, 48 and 96.
(ii) Find the least length of a rope which can be cut into whole number of pieces of lengths 45 cm, 75 cm and 81 cm.
(iii) Find the greatest number of 4-digits which is exactly divisible by 40, 48 and 60.
(iv) What is the least number of saplings that can be arranged in rows of 12, 15 or 40 in each row?
(v) 210 oranges, 252 apples and 294 pears are equally packed in cartons so that no fruit is left. What is the biggest possible number of cartons needed?
(vi) A certain number of students can be arranged in groups of 3, 4, 6 or 8 with no student left behind. Find the number of students.
(vii) The local bus service has 2 lines of buses that start together at 8 a.m. Buses on line A leave after every 15 minutes while Buses on line B leave after every 20 minutes. In a day, how many times do buses on both line A and B leave together between 8 a.m. and 11 a.m.
(vii) Three painters Ron, Victor and Shelly are painting the rooms of a hotel which are numbered from 15 – 200. Ron has to work in all the rooms. Victor has to work in rooms where the room number is a multiple of 3. Shelly has to work in rooms where the room number is a multiple of 5. In which rooms will they all work together?
(ix) Sara goes to the shopping mall every 6th day. Andy goes to the same shopping mall every 7th day. How many times will they meet in the mall in the month of December and January if we start counting from 1st December?
x) The HCF of two numbers is 6, if one of the numbers is 42, find the other number?
(xi) Find the greatest number of 5-digits which on being divided by 9, 12, 24 and 45 leaves 3, 6, 18 and 39 as remainders respectively
Sam can jump 4 steps at a time and Nina can jump 5 steps at a time. On which of the steps will both meet if both start jumping together?
(xii) Mary has a dance class every 2nd day and painting class every 3rd day. On which of the day will she have both the classes?
(xiii) Find a multiple of 70 which is between 200 and 600 which has odd digits at tens and hundreds place.
(xiv) Find a multiple of 120 which lies between 400 and 500 where the digit at tens place is double the digit at hundreds place.
the difference between two numbers is -1. their sum is -27. find the numbers. let x represent the first number and y represent the second number. solve using system s of equations.
Answer: x = -14, y = -13
Step-by-step explanation:
As stated by the question, we can use a system of equations to help us solve.
First, the difference between two numbers (x and y) is -1. The difference represents subtraction.
x - y = -1
Next, the sum of the numbers (x and y) is -27. The sum represents addition.
x + y = -27
Now, we can solve this system. We will graph both of the equations. The point of intersection is the solution, see attached. This gives us an answer of x = -14 and y = -13.
x - y = -1
x + y = -27
Find the circomference of the circle
Answer:
18.84
Step-by-step explanation:
23. HURRICANES The day after a hurricane, the barometric pressure in a coastal town has risen to 29.7 inches of mercury, which is 2.9 inches of mercury higher than the pressure when the eye of the hurricane passed over.
a. Write an addition equation to represent the situation.
b. What was the barometric pressure when the eye passed over?
The equation representing the situation is [tex]2.9+x = 29.7[/tex] where [tex]x[/tex] represents the pressure of barometric pressure when the eye of the hurricane passed over and pressure is 26.8 inches of mercury.
As per the question, The day after a hurricane, the barometric pressure in a coastal town has risen to 29.7 inches of mercury, which is 2.9 inches of mercury higher than the pressure that occurred when the eye of the hurricane passed over.
We are supposed to form an equation representing the situation and calculate the barometric pressure when the eye passed over.
Let's assume that [tex]x[/tex] represents the pressure of barometric pressure when the eye of the hurricane passed over.
So using the concept of linear equation, we can form an equation as,
[tex]2.9+x = 29.7[/tex]
And pressure of barometric pressure when the eye of the hurricane passed over and pressure is
[tex]x=29.7-2.9\\x=26.8[/tex]
So 26.8 inches of mercury is the barometric pressure when the eye of the hurricane passed over.
Linear Equation: An equation between two variables that, when plotted on a graph, produces a straight line.Pressure: Constant physical force that something in contact with an object applies to or against it.To learn more regarding linear equation, click on the link given below:
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What is the difference in temperature from 15 degrees C to - 36 degrees C?
. Communicate and Justify Rafael's
mom buys 6 packages of water balloons
for a party Each package has 24 water
balloons Rafael says that there are 204
water balloons in all. Do you agree with
Rafael? Why or why not?PLEASE HELP:(
I disagree with Rafael's as 204 is incorrect, the correct number of balloons is 144 balloons
How to calculate the number of balloons ?Water ballon is a type of ballon that is filled up with water. It is used by children during different outdoor and relaxation activities.
Rafael's mum buys 6 packages of water balloons for a party
Each package has 24 water balloons
Therefore the total number of balloons can be calculated by multiplying the number of packages which is 6 by the number of balloons which is 24
= 24 × 6
= 144
Hence the are 144 water balloons
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. Verify the concepts you havelearned about the Law of Acceleration in doing some problem – solving exercises.1.The rising concern among athletic trainers regarding concussions among football playershas prompted numerous studies of the effectiveness of protective head gears.
1.One study suggests that concussions may result from impacts rated at 740 m/s2. If a player’s head mass (with helmet) is 6 kg and considered to be a free body, then what net force would be required to produce an acceleration of 740 m/s2?2.Captain John Stapp of the U.S. Air Force tested the human limits of acceleration by riding on a rocket sled of his own design.
2.His rocket sled, known as the Gee Whiz, had a mass of about 82 kg. What net force would be required to accelerate Gee Whiz and 82 kg Stapp at 450 m/s2 (the highest acceleration tested by Stapp)?3.Space Shuttle Max is one of the extreme rides in Enchanted Kingdom.
3.The first of its kindin the country, the roller coaster ride inverts its riders six times. If during one of its operations, a 53 kg boy experiences a net force of 1800 N at the bottom of its roller coaster loop, how fast would he be accelerating at this location
Answer: 1. f = 444N
2. f = 36900N
3. a=34 m/s2
Step-by-step explanation:
f=net force. a=acceleration. m=mass.
f = m*a
1. f = m*a
f = 6 * 740
f = 444N
2. f = 82 * 450
f = 36900N
3. f = m*a
1800=53*a
a=1800/53
a=34 m/s2
Answer:
1) 4440 N
2) 36900 N
3) 34.0 m/s² (nearest tenth)
Step-by-step explanation:
Newton's Second Law of Motion
The overall resultant force acting on a body is equal to the mass of the body multiplied by the body's acceleration.
[tex]\large\boxed{F_{net}=ma}[/tex]
F = force measured in N (Newtons).m = mass measured in kg (kilograms).a = acceleration measured in m/s² (meters per second squared).Question 1Given:
m = 6 kga = 740 m/s²Substitute the given values into the formula:
[tex]\begin{aligned}F_{net} & =ma\\\implies F_{net} & =6 \cdot 740\\& =4440\:\sf N\end{aligned}[/tex]
Question 2Given:
m = 82 kga = 450 m/s²Substitute the given values into the formula:
[tex]\begin{aligned}F_{net} & =ma\\\implies F_{net} & =82 \cdot 450\\& =36900\:\sf N\end{aligned}[/tex]
Question 3Given:
m = 53 kgF = 1800 NSubstitute the given values into the formula:
[tex]\begin{aligned}F_{net} & =ma\\\implies 1800& =53a\\a & = \dfrac{1800}{53}\\ a& =33.96226415...\\ & = 34.0\:\sf m/s^2 \:\:(nearest\:tenth)\end{aligned}[/tex]
can i have all these answers pls
What number is the opposite of 913?
Answer:
918 , bc it is the answer
Step-by-step explanation:
i used a source
If a circle has a diameter of 30 meters, which expression gives its area in
square meters?
A. 152. T
B. 30². T
OC. 30. T
OD. 15. T
The area of Circle is 15∧2*π
Hence option A is correct.
According to the question the diameter of circle is 30 meters
we know,
diameter = radius*2
by using this we can say that the radius of the circle is 30/2
that is R = 15 meters
now According to the formula
Area of Circle = R*R*π
Putting the value of R into the formula by Substitution method
Area of circle = 15*15*π
hence by this we can say that,
Area of circle = 15∧2*π
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A rotation is turning a point in a ____________ motion around a _____________ point.
a A clockwise B. fixed
b A. counterclockwise B. reflected
c A. circular B. fixed
d A. rectangular B. reflected
A truck can be rented from Company A for $70 a day plus $0.20 per mile. Company B charges $50 a day plus $0.70 per mile to rent the same truck. Find the number if miles in a day at which the rental costs for Company A and Company B are the same.
At ___ miles, the rental costs are the same from either company.
The computation shows that the number of miles is 40 miles.
How to compute the value?Based on the information, Truck A will be: = $70 + 0.2m
Truck B = 50 + 0.7m
where m = number of miles
Therefore 50 + 0.7m = 70 + 0.2m
Collect like terms
0.7m - 0.2m = 70 - 50
0.5m = 20
m = 20/0.5
m = 40
The number of miles will be 40.
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Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 78.4Mbps. The complete list of 50 data speeds has a mean of x=16.69Mbps and a standard deviation of s=18.88Mbps.
a. What is the difference between carrier's highest data speed and the mean of all 50 data speeds?
b. How many standard deviations is that [the difference found in part (a)]?
c. Convert the carrier's highest data speed to a z score.
d. If we consider data speeds that convert to z scores between 2 and 2 to be neither significantly low nor significantly high, is the carrier's highest data speed significant?
Jamaal puts $4100 in a savings bank account. The interest rate on the account is 1.8% compounded quarterly.
How much interest does Jamaal earn after a year?
The compound interest earned by Jamaal after a year is $4174.30.
What is defined as the compound interest?Compound interest essentially means that the interest on a bank account, lending, or investment grows exponentially over time rather than linearly.Compound interest advantages investors, but the term "investor" can mean a variety of things. Banks, for example, profit from compound interest once they lend money as well as reinvest the interest received in making more loans.The formula for finding the compound interest is;
CI = p( 1 + r/n)∧nt
where p is the principal amount = $4100.
r is the rate of interest = 1.8% = 0.018.
t is the total time in years = 1 year.
n is the number of time interest given = 4 times.
Put the values;
CI = 4100( 1 + 0.018/4)∧4(1)
CI = 4100×1.018
CI = 4174.30
Thus, the amount of compound interest earned by Jamaal earned after an year is $4174.30.
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What do the terms -4x and -4x combine to?
Find domain of the following functions
The domain of the function g (x) = (x² - 2 x - 15) / (x² + x - 6) is R - {-3, 2}.
We are given a function:
g (x) = (x² - 2 x - 15) / (x² + x - 6)
We need to find the domain of the function.
We know that a function becomes not defined when the denominator becomes 0.
Put x² + x - 6 = 0
x² + 3 x - 2 x - 6 = 0
x (x + 3) - 2( x + 3) = 0
( x + 3 ) ( x - 2 ) = 0
We get x = - 3 and x = 2.
So, these cannot be the values of x
So, the domain is
Domain = R - {-3, 2}
Therefore, the domain of the function g (x) = (x² - 2 x - 15) / (x² + x - 6) is R - {-3, 2}.
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In a statistical study what is the difference between an individual and a variable? An individual is a member of the population of interest. A variable is a numerical measurement describing data from a sample. An individual is a member of the population of interest. A variable is a numerical measurement describing data from a population. An individual is the population of interest. A variable is an aspect of an individual subject or object being measured. An individual is a member of the population of interest. A variable is an aspect of an individual subject or object being measured. An individual is the population of interest. A variable is a numerical measurement describing data from a population.
The correct option regarding individuals and variables is given by:
An individual is the population of interest. A variable is an aspect of an individual subject or object being measured.
What are an individual and a variable in a statistics study?The individuals are the people or the objects in the study, that is, it is the population.The variables are characteristics regarding the individual, that can be numeric or not.Hence the correct option is:
An individual is the population of interest. A variable is an aspect of an individual subject or object being measured.
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how many fix points are there for the function f (x) =x^3
The fix points of the function f (x) = x³ are,
⇒ x = 0, x = 1 and x = -1
What is fixed point of a function?
The fixed point of a function is determine by solving the function
f (x) = x.
The function is given as;
⇒ f (x) = x³
Since, The fix point of a function is determine by solving the function
f (x) = x
Hence, we can solve as;
f (x) = x
x³ = x
x³ - x = 0
x ( x² - 1 ) = 0
x ( x² - 1² ) = 0
x ( x - 1 ) ( x + 1 ) = 0
Equate each term to zero,
x = 0
x - 1 = 0 ⇒ x = 1
x + 1 = 0 ⇒ x = -1
Therefore, The fix points of the function f (x) = x³ are,
⇒ x = 0, x = 1 and x = -1
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Two friends are playing with water balloons. They each start at the bucket of balloons and walk in opposite directions before tossing their balloons at each other. Joy walked 14 steps
forward, and Shaunte walked 5 steps backwards. Which expression correctly represents the distance between the friends?
O 14+1-51 19 steps
O 14+5=19 steps
O-141 +1-51 = 19 steps
O-141+5=19 steps
Answer:
B
Step-by-step explanation:
because is joy walked 14 steps and her friend walks 5 steps the answer is 19 steps 14+5=19
Marty is adding ribbon to the outer edge of the poster shown. How should Marty use estimation to make
sure he buys enough ribbon? How much ribbon should
Marty buy? Explain.
33
22 dimes and 9 nickels
x equals 1
f(4)=f(×)
x=1
3,200x7.253,200 x .0725 = $232 interest monthly
232monthly x 12annual= 2, 784
answer: 33 ( approx)
In the fields of finance and economics, interest is the payment made at a set rate by a borrower or deposit-taking financial institution to a lender or depositor in excess of the principal amount (the amount borrowed). It is not the same as a fee that the borrower might pay to the lender or another entity. Interest advance, but rather on a pro-rata basis as a share of the reward received by risk-taking business people when revenue is earned that exceeds all costs.
For Interest, a customer who borrows money from a bank typically pays interest on it, so they pay the bank more than they borrowed; likewise, a customer who earns interest on their savings may withdraw more than they originally put. When it comes to savings, the bank serves as the borrower while the consumer serves as the lender.
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Value of of x such that f(x) = g(x)
The Value of of x such that f(x) = g(x) are -3, 0, 4 and 7
The graph given in the question shows two curves of two different functions f(x) ang g(x)
Here, we need to find the value ox such that f(x) =F g(x)
For this we need to look at the graph of both the function together find the intersection points of both the graph
This is coordinate geometry
We can see that there are 4 points at which the curves are intersecting
We can find the coordinates of these 4 points from the graph
First point ( -3, 4)
Second point (0,3)
Third point (4 , 3)
The fourth and the last point ( 7, 4)
The x coordinates of the intersection points are the values of x such that f(x) = g(x)
Hence, The Value of of x such that f(x) = g(x) are -3, 0, 4 and 7
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HELP ASAPPP PLEASE!!!!
Answer:
4, -8
Step-by-step explanation:
Find the value of m: −3(m − 4) = −6
m = −6
m = −2
m = 2
m = 6
Answer:
m=6
Step-by-step explanation:
-3m+12=-6
3m=12+6
3m=18
m=6
m = 6.
Step-by-step explanation:
[tex]{ \green{ \tt{ - 3}}}({ \green{ \tt{m - 4}}}) = { \green{ \tt{ - 6}}}[/tex]
[tex]{ \green{ \tt{ - 3m + 12}}} = { \green{ \tt{ - 6}}}[/tex]
[tex]{ \green{ \tt{3m}}} = { \green{ \tt{12}}} \: + \: { \green{ \tt{6}}}[/tex]
[tex]{ \green{ \tt{3m}}} = { \green{ \tt{18}}}[/tex]
[tex]{ \green{ \tt{m}}} = \frac{ \green{ \tt{18}}}{ \green{ \tt{3}}} [/tex]
[tex]{ \green{ \tt{m}}} = { \red{ \mathfrak{6}}}[/tex]
11.4.3 Quiz: Computing Slope
Question 2 of 10
Rise is the change between the y-coordinates of any two points along a line in
the xy-plane.
A. True
B. False
Answer:
It is very very rue
Write the equation of the line that is parallel to the given line and passes through the given point
The slope of parallel lines is the same, which is y = 5x - 12.
Parallel lines have the same slope in two dimensions. If we are aware of a point on the line and the equation of the supplied line, we can construct the equation of a line that is parallel to the given line.
Given: a line or point with a slope of m (x - x1), where m is the slope, and (x1,y1) is a point on the line, we obtain
y - (-1) = m (x - 2), and now the line is parallel to the one that was supplied. The slope is the SAME for parallel lines.
y + 2 = 5 (x - 2)
A line with a slope of y + 2 = 5x - 10 points...
Y = 5x – 12 – 2 – Subtract 2 from both sides.
Hence, the equation of the line that is perpendicular to the provided line and passes through has the form y = 5x – 12.
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I need to create a linear equation that must equal -8 and have variables on both sides and it must require distribution to a linear binomial to be sober it must require combing like terms on one side of the equation to be solved please help I need it written out showing solving steps thank you.
Some of the examples of linear equations are 2x – 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, 3x – y + z = 3.
Answer:
wow u can really dance
Step-by-step explanation:
Describe the similarities and differences between finding the slope of a linear equation from a graph that has x and y scales that are 1:1, and from a graph that has x and y scales that are not 1:1 (say your x and y scales are 2, 4, 6).
Using linear function concepts, we have that:
For a graph in a 1:1 scale, we can look at two consecutive values, y when x = a and y* when x = a + 1, and subtract y* by y. For a graph in another scale, we also do the same thing, but since the scale is not 1:1, we have to divide the subtraction of y* by y by the scale.What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.Given two points in a graph, the slope is given by change in y divided by change in x, hence:
For a graph in a 1:1 scale, we can look at two consecutive values, y when x = a and y* when x = a + 1, and subtract y* by y. For a graph in another scale, we also do the same thing, but since the scale is not 1:1, we have to divide the subtraction of y* by y by the scale.More can be learned about linear function concepts at https://brainly.com/question/24808124
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20 POINTS!! Question is in the picture, correct answer= brainest
Answer: 0.1111111111
You are borrowing $10840 to buy a car. If you pay the loan off in 6 years (72 months), estimate your monthly payment by ignoring interest and rounding the loan to the nearest hundred dollars.
If we are borrowing $10840 to buy a car and repaying it in 6 years (or 72 months) , our monthly payment will be $150.55 or rounded of $200.
As per the question statement, we are borrowing $10840 to buy a car and repaying it in 6 years (or 72 months) , what will be the estimate monthly payment by rounding off to the nearest hundred dollars
First we are supposed to find the monthly payment then we can round it off to the nearest hundred dollars.
Total loan borrowed = $10840
Time taken to pay it off = 6 years or 72 months,
Payment to be made per month = [tex]\frac{10840}{72} \\ 150.5556[/tex]
Therefore [tex]150.5556[/tex] dollars is to be paid every month for 72 months.
After rounding off to the nearest hundred dollars we will get $200.
Hence we are supposed to pay approximately $200 every month for 72 months.
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Please help me with this. I will give an Brainly and bunch of extra points.
Eishhhh. The question is hard.
Answer:
I would say door one
Step-by-step explanation: I say this because he has a 50 % chance that the lady is behind door one, door one also says that the lady is supposedly back there while the tiger is behind the other door.While the other door says that there is a 50 % chance that there is a lion in the room or there could not be. That makes me think that door one has the lady behind it.