Prove that (2n+1)^2 - (2n+1)^2 is a multiple of 8 for all positive integer values of n
Answer:
(2n + 1)[(2n + 1) � 1]
(2n + 1)(2n + 1 � 1)
(2n + 1)(2n), or 2n(2n + 1)
2n is an EVEN NUMBER, and adding 1 to an even number creates an ODD number
Therefore, 2n(2n+1)=EVEN NUMBER ODD NUMBER=EVEN NUMBER
Step-by-step explanation:
The cost of renting a community center is $100, with an additional cost of $10 per guest.
Which graph has the most appropriate scales and units for this situation?
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The number of guests is the independent variable and should be between 1 and 50. We can use a scale of 10's
The cost is the dependent variable and the minimum cost is 100 and should rise from there
The scale would be from 100 's
PLZ HLP MEEEEEEEEE the A's in the Similar Postulate stand for _________.
Answer:
Angle
Step-by-step explanation:
Hello, i would love help since math is my worst subject ;
Answer:
4,5,6
Step-by-step explanation:
(x)+(x+1)+(x+2)= 15
3x + 3 = 15
3x = 12
x = 4
Answer:
Three consecutive numbers are: 4, 5, 6,
Step-by-step explanation:
Let three consecutive numbers be x , (x +1) , (x +2 )
x + x + 1 +x + 2 = 15
3x + 3 = 15
3x = 15 - 3
3x = 12
x = 12/3
x = 4
Three consecutive numbers are: 4, 5, 6,
(7x + 30) and 11x
I'm not sure what and is...is it adding or an equal sign?
for equal sign
(7x+30)=11x
30=11x-7x
30=4x
30/4=x
7.5=x
for plus sign
evalute
(7x+30)+11x
7x+11x+30
18x+30
factorize
(7x+30)+11x
18x+30
6(3x+5)
hope it help yuh..
Factorise 28x+30......
Answer:
2(14x +15)
Hope it helps
......
Plz help help help plz plz plz
Answer:
NO
1,2,3,6
Step-by-step explanation:
THOSE ARE CORRECT
√8=2.8
Answer:
c
Step-by-step explanation:
What is the slope of the line whose equation is
y = - 3x + 6?
A. -1/2
B. 2
C. -3
D. 6
Answer:
-3
Step-by-step explanation:
Because it is multiplied by x
Answer:
C. -3
Step-by-step explanation:
The equation of the line is in point slope form.
y=mx+b
where m is the slope and b is the y-intercept.
The number that is multiplied by x is the slope. The number that is added or subtracted from x is the y-intercept.
We have the equation:
y=-3x+6
-3 is being multiplied by x (-3*x=-3x). 6 is being added on to -3x.
Therefore, the slope is -3 and the y-intercept is 6.
Since -3 is the slope, C is the correct answers.
Please answer this correctly
Answer
[tex] {10}^{ - 6} \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]
Mary wants to make a box she starts with a piece of cardboard whose length is 15cm and width is 10cm then she cuts them in congrats square with side 3cm at he four comes what is the area of the cardboard after she cuts the 4 comes
Answer:
V = 108 cm^3
the volume of the box is 108 cm^3
Corrected question;
Mary wants to make a box. She starts with a piece of cardboard whose length is 15 centimeters and width is 10 centimeters. Then she cuts 4 congruent squares with sides of 3 centimeters at the four corners and folded at the broken lines to make the box. What is the volume of the box?
Step-by-step explanation:
The volume of a box V is;
V = length × breadth × height
V = l×b×h ......1
Length l of the box that would be formed after cutting squares with sides 3 cm from the edges of a cardboard of length 15 cm is;
l = 15 - 2(3) = 9 cm
Breadth b of the box that would be formed after cutting squares with sides 3 cm from the edges of a cardboard of breadth 10 cm is;
b = 10 - 2(3) = 4 cm
Height of the box is the length of the squares cut;
h = 3 cm
Substituting the values into equation 1;
V = 9 × 4 × 3 cm^3
V = 108 cm^3
the volume of the box is 108 cm^3
Help……………………………………….
Answer:
The second option
Step-by-step explanation:
Adding n to the x inside of the parentheses moves the graph n units to the left
Answer:
5 units left. When looking at a translation of x inside of parentheses, it is the opposite of the sign. So x+5 becomes 5 to the left.
Step-by-step explanation:
I'M BEING TIMED HELP
The acceleration due to gravity is the constant of variation. What is the acceleration due to gravity of a falling object?
Answer:
acceleration = 9.8 m/s^2
Step-by-step explanation:
The problem expects the user to do the rate of change between any two pairs of (time, velocity) from the table, and see that they all render the same value. Notice as well that the rate of change of a difference in velocities divided a difference in time, will render units of acceleration (in this case [tex]\frac{m}{s^2}[/tex]
Let's use for example (0 s ,0 m/s) and the following point: (1 s, 9.8 m/s)
the rate of change is: [tex]acceleration= \frac{9.8-0}{1-0} \frac{m}{s^2} =9.8 \, \frac{m}{s^2}[/tex]
In fact you can use any two pairs of the table, and will get the same result.
So this is the acceleration is [tex]9.8 \, \frac{m}{s^2}[/tex]
The acceleration due to gravity is 9.8 m/s^2.
A projectile’s motion is modeled by the function given in the table, where x represents time in seconds and f(x) represents height above the ground. At what time is the projectile on the ground? – 80.4 seconds 2 seconds 4.6 seconds It will never hit the ground.
Answer:
Its 2!
Step-by-step explanation:
Just got it correct on edge 2020
The projectile is on the ground for 2 seconds.
What is a projectile?A projectile is an object this is propelled via the application of external pressure and then movements freely underneath have an impact on gravity and air resistance.
What are the 3 types of the projectile?the bullet, the round ball, shotLearn more about projectile here https://brainly.com/question/12870645
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19 POINTS evaluate the expression 2n, if n = 4
ANWSER:
o 8
o 6
o 24
o 2
Answer:
8
Step-by-step explanation:
2n
Let n =4
2*4
8
Answer:
8
Step-by-step explanation:
= 2 * 4 (we know that n = 4)
= 8
Hope this helps!
Is 8.26 an irrational number
Answer:
no it is not
Step-by-step explanation:
At the beginning of football season, Coach Carnes takes inventory of the team equipment to see what he needs. He counts 24 footballs, but he needs to start off the season with at least 75. The footballs that he uses are sold in packages of 4. How many packages could the coach buy?
Answer:
13
Step-by-step explanation:
To solve this, lets first find the number of footballs he still needs:
75-24 = 51
Now to find the number of packages, divide by 4, since there are 4 balls per package:
51/4 = 12 Remainder 3
Since there is a remainder, and the Coach MUST have at least 75, then we need to add a package to include the remainder:
12 + 1 = 13 Packages
what is the sum of (-2.1×+3.7) and (5 + 4.9×)
2.8x+8.7
Step-by-step explanation:
-2.1x+3.7+5+4.9x
=2.8x+8.7
Which of the following is not an attribute of parallelograms? Opposite sides are parallel. Consecutive angles are supplementary. Diagonals bisect each other. Diagonals are congruent.
Answer:
Diagonals are congruent
Step-by-step explanation:
The diagonals of a parallelogram are not congruent; one is longer than the other
It is known that 60% of the students at a large university have a job and 40% do not have a job. If three of these students are randomly selected, what is the probability at least one does not have a job? (Hint: the compliment of this event is all three have jobs.)
Answer:
78.4% probability at least one does not have a job
Step-by-step explanation:
For each student, there are only two possible outcomes. Either they have a job, or they do not have a job. The probability of a student having a job is independent of other students. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
60% of the students at a large university have a job
This means that [tex]p = 0.6[/tex]
Three of these students are randomly selected
This means that [tex]n = 3[/tex]
What is the probability at least one does not have a job?
Either all of them have a job, or at least one does not. The sum of the probabilities of these events is decimal 1. So
[tex]P(X < 3) + P(X = 3) = 1[/tex]
We want P(X < 3). Then
[tex]P(X < 3) = 1 - P(X = 3)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{3,3}.(0.6)^{3}.(0.4)^{0} = 0.216[/tex]
[tex]P(X < 3) = 1 - P(X = 3) = 1 - 0.216 = 0.784[/tex]
78.4% probability at least one does not have a job
Find the SURFACE AREA of this composite solid. Show work
Answer:
8
Step-by-step explanation:
4+4
6-6+8
picture chart is below
The following pie chart represents how many absences the students of Washington Middle School had during the first quarter. What percentage of the students had three or more absences during the first quarter?
Thanks for all correct answers
Answer:
11%
Step-by-step explanation:
this is simple because there are 4 parts of the pie chart, and we are given 3. the one we don't know we will call x. Since its percents, we know that all of the percents will add up to 100, so we can write an equation.
45 + 23 + 21 + x = 100
to solve, you can subtract 45, 23, and 21 from both sides and you are left with x = 11 which is your solution for how many students had 3 or more absences.
hope it helps!
Find F(5) for f(x)= 1/4 (2)
Answer:
a2+2a+2
Step-by-step explanation:
Find F(5) for f(x)= 1/4 (2) the answer is a2+2a+2
PLEASE HELP!!!!! A teacher is surveying her classes to see how she feels about an activity the class did the day before. Since she has such large classes, she surveys the first 10 students that walk into class. What type of sampling method is used? A.5th Person Sampling B.Convenience Sampling C.Simple Random Sampling D.Systematic Sampling
Answer: Systematic Sampling
Step-by-step explanation: In the systematic sampling every nth person is taken from a population.
The teacher used sampling method that is the Systematic Sampling, The correct answer would be option (D) Systematic Sampling.
What is the Sampling?Sampling is defined as to draw valid conclusions from your results, you have to carefully decide how you will select a sample that is representative of the group as a whole.
What is the Systematic Sampling?The Systematic Sampling is defined as the Simple random sample and systematic sampling are comparable, but systematic sampling is generally a little simpler to carry out. Every person in the population is assigned a number, but instead of assigning numbers at random, people are picked at specified intervals.
For example, The company's workers are all listed in alphabetical order. If choose number 6 as your starting point at random from the first 10 digits. Every tenth individual on the list is chosen starting at number 6 (6, 16, 26, 36, and so on), creating a sample of 100 persons.
According to question,
Teacher is surveying her classes to see how she feels about an activity the class did the day before. Since she has such large classes, she surveys the first 10 students that walk into class.
In given problem having that every student in the population is assigned a number, but instead of assigning numbers at random, students are picked at specified intervals.
Hence, the teacher used sampling method that is the Systematic Sampling.
Learn more about Systematic Sampling here:
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explain why 3 into 5 into 7 + 7 into 11 is a composite number
Answer:
As per BODMAS rule: 3 x 5 x 7 + 7 = 105 + 7 = 112. 112 is an even number and is therefore a composite number
Step-by-step explanation:
you need to do BODMAS so
3 x 5 x 7 = 105
then add 7 so there for 112
112 is an even number and therefore a composite number
Joanna is making a recipe that uses 1 1/2 teaspoon of salt for every 2 cups of sugar. If Joanna increases the recipe to use 5 of sugar, how many teaspoon of salt will she need?
Answer: B. 3 3/4
Step-by-step explanation:
From the question, we are told that Joanna is making a recipe that uses 1 1/2 teaspoon of salt for every 2 cups of sugar. Since, uses 1 1/2 teaspoon of salt for every 2 cups of sugar, 1 cup of sugar will use 1/2 of 1 1/2 teaspoon of salt. This will be:
= 1/2 × 1 1/2
= 1/2 × 3/2
= 3/4 teaspoon of salt.
We then multiply the value used for a cup of sugar by 5 since Joanna increases the recipe to use 5 cups of sugar. This will be:
= 3/4 × 5
= 15/4
= 3 3/4
Which of the following is an equation of a line parallel to the equation y=4x+1?
a, b, c and d are positive integers, such that a+b+ ab = 76, c+d+ cd = 54. Find (a+b+c+d)·a·b·c·d.
Notice that
(1 + x)(1 + y) = 1 + x + y + x y
So we can add 1 to both sides of both equations, and we use the property above to get
a + b + a b = 76 ==> (1 + a)(1 + b) = 77
and
c + d + c d = 54 ==> (1 + c)(1 + d) = 55
Now, 77 = 7*11 and 55 = 5*11, so we get
a + 1 = 7 ==> a = 6
b + 1 = 11 ==> b = 10
(or the other way around, since the given relations are symmetric)
and
c + 1 = 5 ==> c = 4
d + 1 = 11 ==> d = 10
Now substitute these values into the desired quantity:
(a + b + c + d) a b c d = 72,000
Solve for x in the diagram below.
8x
50°
X =
Answer:
x=5
Step-by-step explanation:
The 2 angles are inside of a right angle (the little square in the corner denotes a right angle). This means they are complementary angles, and add to 90 degrees.
8x+50=90
We want to find out what n is. In order to do this, we have to get n by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
50 is being added to 8x. The opposite of addition is subtraction. Subtract 50 from both sides.
8x+50-50=90-50
8x=90-50
8x=40
x is being multiplied by 8. The opposite of multiplication is division. Divide both sides by 8.
8x/8=40/8
x=5
x is equal to 5.
A three digit number is divided by another three digit number gives 3.724. What are the two numbers?
Answer: the numbers are 250 and 931
Step-by-step explanation:
We have two numbers of 3 digits, A and B such that:
A/B = 3.724
A = 3.724*B
now we can divide the 3.724 in two parts
3.724 = 3 + 0.724
A = (3 + 0.724)*B = 3*B + 0.724*B
So, for now we want to find a number B of 3 digits (i will try to find the smallest possible value of B, because we need to multiplicate B by 3.724 to find A), such that:
0.724*B is an integer.
for example, we can start at B = 1000, and then we will start to reduce the value of B
0.724*1000 = 7240 is an integer, this is an even number, this means that we can take B = 500 and we still will get an integer number.
0.724*500 = 362.
Again, we have an even number, so we can take B = 250 and the result will be also an integer number.
0.724*250 = 181.
Ok, stop here, we can suppose B = 250, then we have:
A = 3.074*B = 3.724*250 = 931
Then the numbers are 250 and 931
Over the past ten years, the town's population doubled in size. The population is currently 12,000. What was the population ten years ago? Which of the following represents the given word problem if "P" represents the population ten years ago? 2(P + 10) = 12,000 2P = 12,000 P = 2(12,000)
Answer:
2p=12,000
Step-by-step explanation: