If n+1 integers are chosen from the set
1,2,3,…,2n
,where n is a positive integer, must at least one of them be even? Why?
Answer:
Pigeonhole Principle
Step-by-step explanation:
From series {1,2......2n} ; we need to select 'n + 1' integers.
Even integers series from above series = {2,4,6..........2(n-1), 2n}
Odd integers series from above series = {1,3,5........2(n-2), 2n-1}
So, we can choose only n odd integers from the series. Hence, if we choose n+1 integers, atleast one of them have to be even integer.
Eg : n = 5, Series = (1,2,3,4,5,6,7,8,9,10}, Odd series = {1,3,5,7,9}, Even series = {2,4,6,8,10}. If we choose 5 +1 ie 6 integers, there must be one even integer, as there are only 5 total odd integers in series.Write an equation in slope-intercept form of the line that passes through the points (7, – 4) and (3, -1).
y= blank x+ blank
Answer:
Step-by-step explanation:
y2-y1/x2-x1
-1-(-4)/3-7
3/-4
y=mx+b
For the y coordinate it can be either -4,or -1
-4=3/-4x+b
b=13/4
In ΔABC, the measure of ∠C=90°, the measure of ∠B=64°, and BC= 6.6 Find the length of CA the nearest tenth of a foot
Answer:
CA = 13.5
Step-by-step explanation:
tan 64 = CA/6.6
2.05 = CA/6.6
CA = 13.5
What is the area of the given figure in square centimeters?
A.15 3/4
B.21 3/8
C.27
D.39 3/8
Answer:?
Step-by-step explanation:
To use unit analysis to convert 7 feet to yards you could use: (DO NOT CONVERT!)To use unit analysis to convert 7 feet to yards you could use: (DO NOT CONVERT!)
Group of answer choices
7ft1⋅3yd1ft
(7 ft/ 1 ) multiplied by (3 yd/ 1ft)
7ft1⋅12in1ft
(7 ft/1) multiplied by (12 inches/1 ft)
7yd1⋅3ft1yd
None of these
7ft1⋅1yd3ft
Answer:
7ft/1yd ⋅1yd/3ft
Step-by-step explanation:
To use unit analysis to convert 7 feet to yards
Using unit analysis
1 yard = 3 feet
Hence
3 feet = 1 yard
7 feet = x yard
Cross Multiply
3 feet × x yard = 7 feet × 1 yard
We can represent this as
7 feet/1 yard × 1 yard/3 feet
The correct Option is :
7ft/1yd ⋅1yd/3ft
In ΔIJK, k = 7.6 cm, j = 7.5 cm and ∠J=116°. Find all possible values of ∠K, to the nearest 10th of a degree.
Answer:
No Possible Triangles
Step-by-step explanation:
Deltamath
ce este un numar rational?
Answer:
ratio
Step-by-step explanation:
16
Part A
(a)
Martin noticed that he had spent $100 on a new bike and deposited $100 that he had earned from selling books to a
used bookstore. Which integer represents the change in Martin's savings?
A 100
BO
C-100
D-200
SHOW HINT
C(x)=4x; R(x) = 6X-.001x²
Marginal cost?
Answer:
the answer is to commit uninstall
Step-by-step explanation:
gg wp
During the fall you charge $10 to go to a house and rake the leaves and an additional eight dollars for every hour that you rake the yard if you earned $42 how many hours did you spend raking the leaves
Answer:
4
Step-by-step explanation:
set up an equation:
let h be the number of hours you spent raking.
then, the cost would be 10 + 8 times the number of hours.
In equation form:
[tex]10 + 8h = 42[/tex]
solve:
[tex]10 + 8h = 42\\8h = 32\\h = 4[/tex]
So you worked for 4 hours
Jasmine is playing hide-and-seek with Tucker and Michelle. Tucker is hiding 15 meters south of Jasmine, and Michelle is hiding 8 meters east of Tucker. How far apart are Jasmine and Michelle?
Answer:
17 meters
Step-by-step explanation:
According to the Pythagorean Theorem, we can know that the right triangle's a side is Michelle to Tucker (8 meters), and the b side is Jasmine to Tucker (15 meters), and the c side is Jasmine to Michelle. The Pythagorean Theorem equation, the side length of the c side of a right triangle is the length of a side squared plus b side squared and squared root (a^2+b^2=c^2), and so 8^2+15^2=289, and 289 square root is 17, we can know that the distance between Jasmine to Michelle is 17 meters.
han want to buy a $30 ticket to a game, but the pre-oder tickets are sold out, he knowns there will be more tickets sold the day of the game, with a markup of 200% . how much should han expect to pay for the tickets if he buys it the dat of the game?
Answer: [tex]\$90[/tex]
Step-by-step explanation:
Given
The price of the ticket prior to match day is [tex]\$30[/tex]
It is stated that there is [tex]200\%[/tex] the markup on match day i.e.
The selling price of the ticket is
[tex]\Rightarrow S.P.=30+30\times 200\%\\\Rightarrow S.P.=30+30\times 2=30+60\\\Rightarrow S.P.=\$90[/tex]
So, han must expect to pay [tex]\$90[/tex] on that day
Can you please do number 4?
Answer:
64
Step-by-step explanation:
Find the volume of the cylinder. Round your answer to the nearest tenth
3 m
5 m
Answer:141.4
Step-by-step explanation:
encouraging quote by me: dont say we need more people like (PERSON) strive to be like them dont wait for the change be the change
Answer:
very nice
Step-by-step explanation:
PLEASE HELP!!!
d/dx(e^2x)=d/dx(e^x*e^x)=?
Answer:
[tex]\displaystyle \frac{d}{dx}[e^{2x}] = 2e^{2x}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightCalculus
Derivatives
Derivative Notation
Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
eˣ Derivative: [tex]\displaystyle \frac{d}{dx} [e^u]=e^u \cdot u'[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{d}{dx}[e^{2x}][/tex]
Step 2: Differentiate
[Derivative] eˣ Derivative [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[e^{2x}] = 2x^{1 - 1} \cdot e^{2x}[/tex][Derivative] Simplify: [tex]\displaystyle \frac{d}{dx}[e^{2x}] = 2x^{0} \cdot e^{2x}[/tex][Derivative] Simplify: [tex]\displaystyle \frac{d}{dx}[e^{2x}] = 2(1) \cdot e^{2x}[/tex][Derivative] Multiply: [tex]\displaystyle \frac{d}{dx}[e^{2x}] = 2 \cdot e^{2x}[/tex][Derivative] Multiply: [tex]\displaystyle \frac{d}{dx}[e^{2x}] = 2e^{2x}[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
Will give BRAINLIEST if gives correct answer
Find the diameter
Answer:
The list already says the diameter. Here's the answers for the other stuff though:
A≈201.06
A≈4417.86
Pleaseeeee helppppppp
Answer:
TIK TOK
Step-by-step explanation:
ON THE CLOCK
choose the correct simplification of the expression b^5 · b^4
Answer:
b⁹
Step-by-step explanation:
When multiplying terms with exponents, you simply add the exponents.
5 + 4 = 9
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
53 and 17
Step-by-step explanation:
If you add 53 and 17, you get 70.
If you subtract 17 from 53, you get 36. Hope this helps!
Can anyone help me? This is confusing me a lot.
Answer:
80m2 wtfffffffffffffffffffff
Two claimants place calls simultaneously to an insurer's claims call center. The times X and Y, in minutes, that elapse before the respective claimants get to speak with call center representatives are independently and identically distributed. The moment generating function of each random variable is
M(t)= (1/11.5t)^2 , t < 2/3
Required:
Calculate the standard deviation of X + Y.
The moment generating function of each random variable is;
M(t) = (1/(1 - 1.5t))^(2), t < 2/3
Answer:
SD[X + Y] = 3
Step-by-step explanation:
For ease of differentiation, let's rewrite the M(t) function as;
M(t) = (1 - (3/2)t)^(-2)
Let's find the first derivative of the function;
M'(t) = 3(1 - (3/2)t)^(-3)
To get E[X], we will put 0 for t to get;
E[X] = 3(1 - (3/2)0)^(-3)
E[X] = 3
Now,let's find the second derivative of M(t)
M"(t) = (27/2)(1 - (3/2)t)^(-4)
At,t = 0, we will get E[X²]
Thus;
E[X²] = 27/2
Now, Var[X] = E[X²] - (E[X])²
Var[X] = (27/2) - 3²
Var[X] = 9/2
We are told that the times X and Y are independently and identically distributed. Thus, the sum of their variances is equal to the variance of their sum. This is expressed as;
Var[X + Y] = 9/2 + 9/2
Var[X + Y] = 9
Now,we know that square root of variance is standard deviation. Thus;
SD[X + Y] = √9
SD[X + Y] = 3
Use the ray tool to graph f(x)=−|x+2|
First plot the endpoint of the ray, then plot any point on the ray.
Answer: Graphed points I used, (-2,0), (0,-2), and (-3,-1)
Step-by-step explanation:
The graph of given function is attached below.
Absolute value function:The given function is,
[tex]f(x)=-|x+2|[/tex]
We have to draw the graph of above function.
When [tex]x=-2[/tex] , [tex]f(-2)=0[/tex]
When [tex]x=-4[/tex] , [tex]f(-4)=-|-4+2|=-2[/tex]
When [tex]x=0[/tex], [tex]f(0)=-2[/tex]
Thus, We have points [tex](-2,0),(-4,-2)[/tex] and [tex](0,-2)[/tex]
The graph of function attached below.
Learn more about the graph of function here:
https://brainly.com/question/24335034
Which expression is equal to x+5x+3⋅(x+3)(x−5)x2+3 ?
Answer:
Step-by-step explanation:
what is the temperature halfway between 20 degrees and -10 degrees?
Answer:
The temperature halfway is -5 degrees farenheit/celcious
Step-by-step explanation:
the difference is 30 degrees
30 / 2 = 15
20 - 15 = -5
-10 + 15 = -5
Hope I helped! Plz mark as brainliest! Have a nice day/night!!! :D
-Lil G
The number of nails in a 5 lb box is normally distributed with a mean of 325 nails and a standard deviation of 15 nails
Suppose that 1200 different 5 lb boxes are in a warehouse.
About how many boxes contain more than 340 nails?
O 170
O 192
O 340
O 384
Answer: 192.. just took the test :)
Step-by-step explanation:
The number of boxes contains more than 340 nails will be 190. Option B is correct.
What is Z score?The number of standard deviations by which the value of a raw score is above or below the mean value of what is being observed or measured is known as the Z score.
Z score for the 340 nails is found as;
[tex]\rm Z-score= \frac{340-325}{15} \\\\ Z-score=1[/tex]
If the probability of the z score is grater than 1 is;
P(Z≥1)=1-P(Z≤1)
P(Z≥1)=1-0.8413
P(Z≥1)=0.1587
For the 1200 boxes with more than the 340 nails is 192.
Hence,option B is correct.
Learn more about z-score refer:
https://brainly.com/question/21262765
#SPJ2
Find the measure of each angle indicated
Answer:
45°
Step-by-step explanation:
here's your solution
=> we know that sum of both angle is equal
180°
=> because both angle are co-interior angle
=> let the unknown angle be x
=> so, X + 135° = 180°
=> x= 180 - 135
=> 45°
hope it helps
*NEED HELP QUICKLY*
my son is doing a math assignment and he needs this done within the hour. i tried to help with it but math isn’t my strong suit.
Answer: undefined
Step-by-step explanation:
I think im not sure tho
Televisions are measured diagonally to determine their listed size. Roxanne bought a 40-inch television that measures 24 inches in height. How many inches wide is the television?
Answer:
The width is 32 inches
Step-by-step explanation:
5.) Mother went to the supermarket. She bought 1.8 kg of chicken at Php120.50 a kilo
Find the cost of the chicken.
Answer:
1.8×120.50, and u shd get the ans