Answer:
The real numbers have the following important subsets: rational numbers, irrational numbers, integers, whole numbers, and natural numbers. To represent a number on the number line graphically, we plot a point or its coordinate where it is approximately located on the number line.
find the explicit formula for the following sequence.
15, 29, 49, 75, 107,....
Answer:
Step-by-step explanation:
We are given the sequence
[tex]15, 29, 49, 75, 107\\15->29 = 14\\29 -> 49 = 20\\49->75 = 26\\75 -> 107 = 32\\14, 20, 26, 32\\14 -> 20= 6\\20 -> 26 = 6\\26 -> 32 = 6\\\\6, 6, 6\\6->6 = 0[/tex]
Since we had to find the differences twice, it is a second degree polynomial
[tex]y = an^2 + bn + c\\plugging \: in \: n = 1, 2, 3...\\the \: sequence \: is \\a+b+c, 4a + 2b + c, 9a + 3b + c...\\the \: diff \: under \: is \\3a + b, 5a + b, 7a + b...\\the \: diff \: under \: is \\2a, 2a, 2a...\\so, \\2a = 6\\a = 3\\3(3) + b = 14\\b = 5\\\\a +b + c = 15\\3 + 5 + c = 15\\c = 7\\[/tex]
so,
[tex]y = 3n^2 + 5n + 7[/tex]
3 divided by 2/5
A. 7
B. 7 1/5
C. 7 1/2
D. 8
The answeris (71/5)..
Answer:
C
Step-by-step explanation:
3 divided by 2/5 will become 3 times 5/2
multiply the numerator so 15
and the denominator is 2
15/2 is 7.5
so 7 and 1/2
so your answer is C
I’ll give the Brainliest to who answers this question with a reasonable explanation.
Find the best buy between 6.2 oz. for $2.97 or 8 oz. for $3.47.
A) Buying 8 oz for $3.47 is the better buy.
B) Buying 6.2 oz for $2.97 is the better buy.
Thank you!
Find f(-3) if f(x) = x^2.
- -9
- -6
- 6
- 9
Answer:
Plz I don't understand everything
Janice is redecorating her room. She wants to paint a design on a rectangular section of her wall that is at least 76.5 square feet. The height of the design will be 8.5 feet. What is the minimum length of the design Juanice will paint on the wall? PLEASE HELP!!
Answer:
9 feet
Hope this helps
Answer:
9 feet
Step-by-step explanation:
I = 9 feet ~ C
Sydney owns a small business selling used books. She knows that in the last week 125 customers paid cash, 5 customers used a debit card, and 9 customers used a credit card. Based on these results, express the probability that the next customer will pay with something other than cash as a decimal to the nearest hundredth.
Answer:
0.10
Step-by-step explanation:
Can someone please help me
Answer:
Step-by-step explanation:
difference of 10 and u = 10 - u
seven times the sum of twice a number m and 16 is 9 -
7 ( 2m + 16 ) = 9
5x + 6x - sum of 5 times a number and 6 times a number
8 ( x - 7 ) = -35 - 8 times the difference of a number x and 7 is -35
Hope this helps
plz mark as brainliest!!!!!
Evan spent 20 hours doing homework last week. This week he spent 25 hours doing homework. He says that he spent 125% more time doing homework this week. Is he correct? Show your work to justify your decision. (5 points)
Answer:Yes
Step-by-step explanation:
25% of 20 is 5.
Answer:
Step-by-step explanation:
25% of 20 is 5.
If Professor Wilson found that the test scores of his students had a variance of 4.4, what is the standard deviation? Type a numerical answer in the space provided. Round your answer to the nearest tenth.
Answer:
The standard deviation will be: 2.1
Step-by-step explanation:
We know that standard deviation is basically the square root of variance.
Using the formula to calculate the standard deviation
[tex]s=\sqrt{s^2}[/tex]
As
The variance = s² = 4.4so the standard deviation can be calculated as:
standard deviation [tex]=\sqrt{s^2}[/tex]
[tex]=\sqrt{\left(4.4\right)^}[/tex]
[tex]=2.1[/tex]
Therefore, the standard deviation will be: 2.1
find the quotient 10^12/10^3
plz answer asap
Answer:
B
10^9
Step-by-step explanation:
I’m offering 29 points!!!!!!!! AQRS = ATUV Name the angle or side that corresponds to the given part for the question.
Joe had a balance of $34 on his credit card. He bought a sandwich and charged $40 on his credit card. 1a.) Write an equation that represents this scenario.
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Credit card balance = $34
Amount of sandwich purchased = $40
The cost of sandwich purchased us added to the Initial credit card balance as the balance in a credit card is amount owed.
Hence it could be interpreted as though Joe has made purchases which amounts to $34 with his card before purchasing sandwich that costs $40
Hence; new card balance :
(Intial card balance + cost of sandwich)
$34 + $40 = $74
Five different awards are to be given to three students. Each student will receive at least one award. In how many different ways can the awards be distributed?
Answer:
Two ways
Step-by-step explanation:
Blue is students and Yellow is the trophies.
Total number of different ways that the awards can be distributed is; 150 ways.
It is clear from the question that the awards and the students are different. Now, each student will receive at least one award.This means that the five different awards could be separated into;
3 + 1 + 1 awards or 2 + 2 + 1 awards.
Now, for one person to get 3 awards and the other 2 people to get one award each, the number of ways is calculated as;⁵C₃ × 3! = 60 ways
Now, for the case where one person is to get 1 award and the other 2 people to get two awards each, the number of ways is calculated as;((⁵C₂ × ³C₂)/2) × 3! = 90 ways
Thus; total number of ways the awards can be distributed = 60 + 90 = 150 ways.Read more at; https://brainly.com/question/20373683
HELP PLZZZZZZZZZZ ITS DUE NOW
Answer:
yes its a right trinagle
Step-by-step explanation:
well first it has a right corner which is a right angle you can tell by putting your hand like a L
Find the slope and the y-intercept of the line.
6x+2y=-2
Answer:
Slope: -3
Y Intercept: (0,-1)
Step-by-step explanation:
Answer:
slope -3
y = 0,-1
Step-by-step explanation:
plzzzzz hurry i'm running out of time
The tree in Shen's backyard is 8.2 m high. How high is it in centimeters?
Be sure to include the correct unit in your answer.
Answer:
820 cm
Step-by-step explanation:
Since one meter is 100 cm, 8.2*100 is 820
Answer: 820
Step-by-step explanation:
1 meter is 100 centimeters
1 meter is 100 centimeters, 8.2 meters are 820 centimeters.
Four more than twice a number is half the number six times. Find the number.
Answer:
x = 4
Step-by-step explanation:
2x + 4 = 6(1/2×)
2x + 4 = 3x
-2x on oth sides
4=×
x is 4
PLS HELP FAST WITH THIS QUESTION
Simplify the radical √75 and explain how you got the answer :) please!
Answer:
8.6
Step-by-step explanation:
What is the interval?
Can Anybody Help With Geometry Work?
the answer would be AAG
can someone help me answer this question please?
Answer:
A
Step-by-step explanation:
f(x) = (x + 3)(x + 2)(x - 3)
The three roots are going to give - 18 so only A and D can be correct. Why minus? because at some point 3 and 2 and - 3 will all be multiplied together. When they are, the result is - 18
So why did I write x + 2 rather than x - 2? Because the roots turn an equation into 0. You are looking for a way to make x + 2 = 0. It will do that when x = - 2
which is what you were given.
Now to get the answer
(x - 3)(x + 3) = x^2 - 9
(x^2 - 9)(x + 2) = x^3 + 2x^2 - 9x - 18 = f(x)
Selena made pancakes for an all day breakfast fundraising event she made 132 pancakes in 4 hours Selena needs to make 264 more pancakes if she continues at the same rate how many hours will it take for Selena to make 264 more pancakes
Answer:
8 hours
Step-by-step explanation:
132 pancakes → 4 hours
264 pancakes → (4/132 x 264) hours = 8 hours
Write the number 68,127,000,000,000,000 in scientific notation.
The answer to this question is 6.8 x 10^16.
Answer:
[tex]6.8127[/tex] × [tex]10^{16}[/tex]
I hope this helps!
What are the answers
Answer:
81 for the first blank and 12 for the second.
Step-by-step explanation:
The rule is divie or multiply by 9. (depending on what side its asking)
2.) Find the vertex only for the following function:
y = -3x^2 + 12x - 5
Answer:
(2, 7)
Step-by-step explanation:
hope this helps :)
( 1 ) Find by using a formula of (-b/2a, (4ac-b²)/4a)
[tex](\frac{-b}{2a},\frac{4ac-b^2}{4a})\\(\frac{-12}{2(-3)}),(\frac{4(-3)(-5)-(12)^2}{4(-3)})\\(\frac{-12}{-6}),(\frac{60-144}{-12})\\(2,\frac{-84}{-12})\\(2,7)[/tex]
The vertex is at (2,7)
( 2 ) Find by using a derivative (Calculus)
You can also find a vertex by using a calculus. Using a derivative
[tex]y'=-3x^2+12x-5\\y'=-6x+12\\\\[/tex]
Then substitute y' = 0 to get a vertex.
[tex]y'=-6x+12\\0=-6x+12\\-12=-6x\\2=x[/tex]
Then substitute x = 2 in the equation of y = -3x²+12x-5
[tex]y=-3x^2+12x-5\\y=-3(2)^2+12(2)-5\\y=-3(4)+24-5\\y=-12+24-5\\y=-17+24\\y=7[/tex]
x = 2 and y = 7, therefore. The vertex is (2,7)
There are 260 students in 6th grade at meghan's school if 15% of them play a instrument how many 6th graders at meghan's school play an instrument ?
Answer:
39 people
Step-by-step explanation:
15 percent *260 =
(15:100)*260 =
(15*260):100 =
3900:100 = 39
Plz Award Brainlest
Answer: 17 or 33 student of 6th grade
Step-by-step explanation: that how you do the math
Solve for x.
4 + 2x = 10
Answer:
The answer is 3
Hope this helps!
What is the slope of the line that passes through the points (-2, 7) and (2, -5)?
Write your answer in simplest form
Answer:-3
Step-by-step explanation:
David sells small, medium, and large bags of mints at his store. A medium bag contains three times as many mints as a small bag. A large bag contains five times as many mints as a medium bag • There are 3,510 mints in a large bag. How many mints are in a small bag?
Answer:
This is lowkey hard
Step-by-step explanation:
Answer:
234 mints
Step-by-step explanation:
if you represent small as s, medium as m, and large as l, you can write the equations as 3s=m 5m=l and 3510=l. We can then substitute 3510 for l and get 5m=3510 divide by 5 and get m=702 put that in the other equation and get 3s=702 divide by 3 and get s=234