Answer:
All even natural numbersStep-by-step explanation:
This is an AP with:
The first term = 1Number of terms = nCommon difference = 2Find the sum of the first n terms:
[tex]S_n= n(1+2n-1)/2=n^2[/tex]The sum is divisible by 4 if n is even number:
n = 2k ⇒ n² = 4k² ≡ 0 mod 4How many different 9-letter "words" can you
make by arranging the letters in DEVIATION?
The arrangements don't have to be actual words
that are included in any dictionary.
There are 5040 different 9-letter “words” that can be made by arranging the letters in DEVIATION.
The given word is DEVIATION and we are required to find out the number of different 9-letter “words” that can be formed by arranging its letters.
To solve the problem, we will use the formula for finding permutations of n objects taken r at a time when all the objects are distinct.
The formula is given by: nPr = n! / (n-r)! where n is the total number of objects and r is the number of objects to be selected.
Here, we have 9 objects (letters) and we need to arrange all of them, so r = 9.
Now, we need to find out the value of n.
The given word DEVIATION has 9 letters, but two of them (E and I) are repeated twice.
Therefore, n = 9 - 2 = 7.
We will substitute these values in the formula to get the required answer:
nPr = n! / (n-r)! = 7! / (7-9)! = 7! / (-2)! = 7! / 1 = 5040
Therefore, there are 5040 different 9-letter “words” that can be made by arranging the letters in DEVIATION.
For more questions on permutations
https://brainly.com/question/28065038
#SPJ8
Pls answer ASAP this is timed and don’t put a link
Answer:
C: mean 6.5 median 6
Step-by-step explanation:
median you find middle number in sorted numbers lined up. mean is all numbers added up and divided by how many there are
Find the value of the expression 2x2 - 4x2 + 7x – 7 if x= 3. What is the value if x = 2?
Answer:
if x= 3, so it's 32 if x= 2, so it's 7
Step-by-step explanation:
Help me solve this ASAP please
Problem 2: A ball is dropped from rest from a height of 6 meters, Find the time it takes the ball
to fall. Find the velocity of the ball just before it hits the earth. Assume no air resistance and
that acceleration due to gravity (g) is 9.8 m/s/s.
Answer:
1.11 s , 10.88 m/s
Step-by-step explanation:
Initial velocity and air resistance = 0
Time to fall : s = 1/2 gt²
6 = 1/2 * 9.8 * t²
t² = 1.224
t = 1.11 s
final velocity = initial velocity + gt
= 0 + 9.8 * 1.11
= 10.88 m/s
If a car top speed is 180km/h how far will it go in 3 hours
Samuel wants to ride his bicycle 32.4 miles this week. He has already ridden 18 miles.
If he rides for 4 more days, write and solve an equation which can be used to
determine 2, the average number of miles he would have to ride each day to meet his
goal.
Equation:
Answer: 2=
Submit Answer
Answer:
equation: 4x + 18 = 32.4
answer: x = 3.6
Step-by-step explanation:
Please help with this math problem
Draw a figure and then solve
Answer:
x=180-a/2+a/2
m AEP =90
The table gives selected values of the function y=ax^3 + bx^2 +cx + d. What is a+d?
x -2 -1 0 1 2 3
y 36 0 -6 0 0 -24
Answer:
What is the volume of a sphere with a radius of 24 units? A. 92167 units O B, 230477 unite 3 O c. 18A324 units D. 13,8247 units
Step-by-step explanation:
Answer:
x=6
Step-by-step explanation:
point Find the length of segment CD with C(2,3) and D (-3, 15
Step-by-step explanation:
so, if the text is correct, the 2 points are
(2, 3) and (-3, 15).
the length of the line segment is the distance between both points.
did this we use Pythagoras for right-angled triangles.
c² = a² + b²
c is the Hypotenuse and the distance between both points. a and b are the legs (enclosing the 90 degree angle), which are simply the differences of the x and the y coordinates.
so,
distance² = (2 - -3)² + (3 - 15)² = 5² + (-12)² = 25 + 144 = 169
distance = sqrt(169) = 13 = length of line segment
If you borrow $3,500 at 4% simple interest for 3 years. How much money do you have
to pay
Answer:
Hii, I believe your answer would be $3,360
Hope this helps!
Step-by-step explanation:
How many 4-digit natural numbers are there?
Answer:
9000
4-digit numbers..
If -13(q+4) is equal to 7q+16 what’s is q
Answer:
q = - 3.4
Step-by-step explanation:
- 13(q + 4) = 7q + 16 ← distribute parenthesis on left side
- 13q - 52 = 7q + 16 ( subtract 7q from both sides )
- 20q - 52 = 16 ( add 52 to both sides )
- 20q = 68 ( divide both sides by - 20 )
q = - 3.4
Please Answer!! Will give Brainliest
Answer:
2
Step-by-step explanation:
EZ, I am in 7th, and I did coordinate plane, it so ez, anyways hope that hels
1) Hot dogs are sold in packs of 10 and hot dog buns are sold in packs of 8. Tommy wants
to know the least number of packs of hot dogs and buns he needs to buy so that he does not
have any left over.
) Complete the table.
Answer:
10, 20,30, 40, 50
Step-by-step explanation:
You times them all by 10 for example: 1x10=10 2x10=20 3x10= 30 4x10=40 and 5x10=50.
If we buy four packs of hot dogs and five packs of buns then we don't have any left over.
What is Least common multiple?The abbreviation LCM stands for "Least Common Multiple." The smallest multiple that two or more numbers share is known as the least common multiple.
For example: Take two integers, 2 and 3.
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20….
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30 ….
Therefore, 6 is the least common multiple of 2 and 3.
Given:
Packs 1 2 3 4 5
Hot Dogs 10 20 30 40 50
Bun 8 16 24 32 40
Also, LCM(10, 8)
10= 2 x 5
8= 2 x 2 x 2
So, LCM(10, 8)= 2 x 2 x 2 x 5 = 40
Hence, If we buy four packs of hot dogs and five packs of buns then we don't have any left over.
Learn more about LCM here:
https://brainly.com/question/20739723
#SPJ5
At a super market broccoli and celery are sold at $0.59 per 100 g and $0.26 pee 100g.how much do 1.2 kg of broccoli and 950 g of celery costs
1.2 kg of broccoli costs $7.08.
950 g of celery costs $2.47.
In order to determine the cost of 1.2 kg of broccoli, the first step is to determine the cost of 1kg of broccoli
1 kg = 1000 g
100g = 0.1 kg
Cost of one kg of broccoli = $0.59 / 0.1 = $5.90
The second step is to determine the cost of 1.2kg of broccoli.
$5.9 x 1.2 = $7.08
In order to determine the cost of 950g of celery, the cost of 1g of celery.
$0.26 / 100 = $0.0026
The second step is to determine the cost of 950g of celery.
950 x 0.0026 = $2.47
A similar question was answered here: https://brainly.com/question/8138090?referrer=searchResults
This question is really bothering me: A restaurant has a square floor with an area of 324 m². Sketch the resaurant floor. What are its dimensions?
The required dimensions of the restaurant is 18 by 18 meters.
Given that,
This question is really bothering me: A restaurant has a square floor with an area of 324 m². Sketch the restaurant floor. dimensions are to be evaluated.
Surface area is defined as the collective region, whose mathematical expression can be formed.
here,
Let the sides of the square restaurant be a,
The area of the restaurant = area of the square
324 = a²
a = √324
a = 18 meters,
Thus, the required dimensions of the restaurant are 18 by 18 meters.
Learn more about surface area here:
https://brainly.com/question/2835293
#SPJ5
Evaluate the function
Which arrangement shows264, 6.45, 625, and508 in order from least to greatest?
A. 508, 625,264, 6.45
B. 508, 625, 6.45, 264
C. 264, 508, 625, 6.45
D. 625, 508, 6.45, 264
PLZ help I really need answer ill make you brainliest
Answer:
C.264,508,625,645
Step-by-step explanation:
the arrangement is from the least number to the greatest
what law would you use to simplify (2xy)^(2)
Answer:
(2xy)²
Step-by-step explanation:
please mark me as brainliest
Evaluate
Write your answer as a fraction in simplest form.
HELP PLEASE
Answer
-3⁻³/6⁻²
= (-1*3)⁻³/(2*3)⁻²
= -1⁻³·3⁻³/2⁻²·3⁻²
= -1.3⁻³⁺²/2⁻²
= -1.3⁻¹/2⁻²
= -4/3
Step-by-step explanation:
Influenced or Limited or Both?
1. The gene is located in the autosomes
2. Expression of the gene is only in one sex
3. Expression of the gene is mostly observed in one sex.
4. Trait act as recessive in one sex and dominant in another sex.
5. Traits can be passed on to the next generation even without expressing the trait.
PLZZ HELP ME i really need help
Answer:
1
Step-by-step explanation:
the function is y=x+1
Hi can u plz help me
Answer:
7 / 6
Step-by-step explanation:
( 2x + 6 ) / 5 = 4x - 3
2x + 6 = 5 ( 4x - 3 )
2x + 6 = 20x - 15
20x - 15 = 2x + 6
20x - 2x = 6 + 15
18x = 21
x = 21 / 18
21 = 7 * 3
18 = 6 * 3
x = 21 / 18
= ( 7 * 3 ) / ( 6 * 3 )
x = 7 / 6
Hence proved.
Please help! I'll mark Brainliest.
I just need to know what G and F are! Or how to find them? I'm being timed!
Answer:
G and F are the lines I guess? You have to use them to answer the rest of the questions.
Use the distributive property to write an equivalent expression 2(r+8) 2(r+8)
Answer:
Simplified expression: (2r+16)(2r+16)
if you need to combine like terms it would be 4r+32
Step-by-step explanation:
to distribute you multiply whatever is outside the parenthesis with everythign inside. 2*r= 2r, 2*8= 16
(2r+16)(2r+16)
and if you want to combine like terms it would be
4r+32
since you add whatever goes together (whole numbers +whole numbers, numbers with variable+ numbers with variable)
Answer clearly !!
Find the area
For height of garden we can use Phytagoreaan Theorem :
h² = 25² - 7²
h² = 625 - 49
h² = 576
h = 16 m
Area
= 1/2 × base × height
= 1/2 × 14 m × 16 m
= 7 m × 16 m
= 112 m²
A lobster weight 42 1/5kg A crab weight 41/5kg less than lobster what is their combined weight
Crab Weight
= 42 1/5 - 41/5
= 211/5 - 41/5
= 170/5
Combined weight
= 170/5 + 211/5
= 381/5
= 76 1/5
#LearnWithEXO
Simplify the following:
1)y^6/y^2
2)b^7/b^5
Answer:
look at the photo i have sent
George visits a store to buy 2 flash drives. They are priced at $28 each. How much does he need to spend on his purchase?