Answer: well one is
Bc its the smallest besides zero, but zero is neither odd or even
Step-by-step explanation:
Based on the family the graph below belongs to, which equation could represent the graph?
Considering the asymptotes of the function, the equation that represents the graph is:
[tex]y = \frac{1}{x + 2} + 3[/tex]
What are the asymptotes of a function f(x)?The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.This function, from the graph, has a vertical asymptote at x = -2, hence the denominator is given by:[tex]y = \frac{1}{x + 2} + 3[/tex]
x + 2, as x + 2 = 0 -> x = -2.
The horizontal asymptote is of y = 3, hence:
[tex]\lim_{x \rightarrow \infty} f(x) = 3[/tex]
Which means that the function is described by the following rule:
[tex]y = \frac{1}{x + 2} + 3[/tex]
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Does the following series converge or diverge?
Answer:
converge
Step-by-step explanation:
the reason is : the individual terms of the series get smaller and smaller towards 0, and therefore the sum converges to a certain limit.
why do I know that the individual terms get smaller and smaller ?
because the terms are ultimately (with n getting very large the constant factors added constants become irrelevant)
n / (n^(3/2))
as sqrt(n³) = n^(3/2)
and n^(3/2) progresses much faster and stronger than n (or n¹), as 3/2 is larger than 1.
so, the denominator (bottom) of that fraction grows stronger than the numerator (top), and the terms go therefore against 0 with larger and larger n.
Using the principle of
mathematical induction show that 10^(2n-1 ) + 1 is divisible by 11 for all z
When [tex]n=1[/tex],
[tex]10^{2\cdot1 - 1} + 1 = 10^1 + 1 = 11[/tex]
which is of course divisible by 11.
Assume this holds for [tex]n=k[/tex], that
[tex]11 \mid 10^{2k - 1} + 1[/tex]
In other words,
[tex]10^{2k - 1} + 1 = 11\ell[/tex]
for some integer [tex]\ell[/tex].
Use this to show the claim is true for [tex]n=k+1[/tex].
[tex]10^{2(k+1) - 1} + 1 = 10^{2k + 1} + 1 \\\\ ~~~~~~~~~~~~~~~~~~~~ = 10^{2k+1} + \left(10^{2k-1} + 10^{2k-1}\right) + 1 \\\\ ~~~~~~~~~~~~~~~~~~~~ = \left(10^{2k+1} - 10^{2k-1}\right) + \left(10^{2k-1} + 1\right) \\\\ ~~~~~~~~~~~~~~~~~~~~ = 10^{2k-1} \left(10^2 - 1\right) + 11\ell \\\\ ~~~~~~~~~~~~~~~~~~~~ = 99\times10^{2k-1} + 11\ell \\\\ ~~~~~~~~~~~~~~~~~~~~ = 11\left(9\times10^{2k-1} + \ell\right)[/tex]
which is indeed divisible by 11. QED
On the off-chance you meant [tex]10^{2^n-1}+1[/tex], notice that [tex]2n-1[/tex] is odd for any integer [tex]n[/tex]. Similarly [tex]2^n-1[/tex] is odd for all [tex]n[/tex], so the above proof actually proves this automatically.
please help urgently
Answer:
-20
Step-by-step explanation:
Use the distributive property to get [tex]2xy-14[/tex] (you multiply both xy and -7 by 2.) Now plug in the x and y values to get: [tex]2(-1)(3)-14[/tex]. This gets you [tex]-6-14[/tex] which is [tex]-20[/tex].
question in image
ddddddddddddddddd
Step-by-step explanation:
"congruent" for lines simply means they are equally long.
15. yes. AB = EF = 3
16. yes. BD = DF = 8
17. no. AC = 5, CD = 6
18. yes. AC = DE = 5
19. no. BE = 13, CF = 14
20. no. CD = 6, DF = 8
The quadratic functions shown are written in factored form. The roots of a quadratic function will make the factors equal to 0.
Drag each function to show whether it has roots at x=−2 and x=3, roots at x=2 and x=−3, or neither.
The following classification of quadratic equations is presented below:
x = - 2 and x = 3: h(x) = (x + 2) · (x - 3), k(x) = - 3 · (x + 2) · (x - 3). x = 2 and x = - 3: g(x) = 8 · (x + 3) · (x - 2), m(x) = (x + 3) · (x - 2). Neither: j(x) = (x - 2) · (x - 3)How to classify quadratic equations in terms of its roots
In this problem we have quadratic equations in factored form, whose form is presented below:
y = a · (x - r₁) · (x - r₂) (1)
Where r₁ and r₂ are the roots of the equation and a is the leading coefficient. A value of x is a root if and only if y is zero. Besides, we must located all the quadratic equations according to their roots.
x = - 2 and x = 3
h(x) = (x + 2) · (x - 3)
k(x) = - 3 · (x + 2) · (x - 3)
x = 2 and x = - 3
g(x) = 8 · (x + 3) · (x - 2)
m(x) = (x + 3) · (x - 2)
Neither
f(x) = 3 · (x - 1) · (x + 2)
j(x) = (x - 2) · (x - 3)
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What shape best describes the cross-section cut perpendicular to the base of a right rectangular prism? O Parallelogram Trapezoid O Rectangle O Rhombus
The cross-section perpendicular to the base of a right rectangular prism is a rectangle.
What is a three dimensional shape?A shape or a solid that has three dimensions that is length, width and height is called a 3D shape. 3D shapes have faces, edges, and vertices. Examples are cylinder, cone, prism, pyramid.
A shape that has two dimensions is called a 2D shape. 2D shapes have breadth and length.
The cross-section perpendicular to the base of a right rectangular prism is a rectangle.
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Solve for x. PLEASE HELP ASAP
Answer:
x = 6
Step-by-step explanation:
the tangent- tangent angle UVW is half the difference of the intercepted arcs, that is
∠ UVW = [tex]\frac{1}{2}[/tex] (UW - WU ) , then
5x + 17 = [tex]\frac{1}{2}[/tex] (37x + 5 - (23x - 5) ) ← multiply both sides by 2
10x + 34 = 37x + 5 - 23x + 5
10x + 34 = 14x + 10 ( subtract 14x from both sides )
- 4x + 34 = 10 ( subtract 34 from both sides )
- 4x = - 24 ( divide both sides by - 4 )
x = 6
A student bought a truck for 4000 down with payments of 250 for 4yrs what’s the total cost
The total cost of the truck is $16,000
What is the total cost?
We know that first, we have a down payment of $4000.
And then we have a monthly payment of $250 for 4 years. In each year there are 12 months, then in 4 years there are:
4*12 = 48 months.
Then the student needs to pay $250 48 times, this is:
$250*48 = $12,000
Then the total cost is:
$12,000 + $4,000 = $16,000
The total cost of the truck is $16,000
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* Let S = Span {(2,-1, 1), (3, 1, 1), (1, 2, 0)}. (i) Calculate the dimension of S.
1
2
3
9
The span of 3 vectors can have dimension at most 3, so 9 is certainly not correct.
Check whether the 3 vectors are linearly independent. If they are not, then there is some choice of scalars [tex]c_1,c_2,c_3[/tex] (not all zero) such that
[tex]c_1 (2,-1,1) + c_2 (3,1,1) + c_3 (1,2,0) = (0,0,0)[/tex]
which leads to the system of linear equations,
[tex]\begin{cases} 2c_1 + 3c_2 + c_3 = 0 \\ -c_1 + c_2 + 2c_3 = 0 \\ c_1 + c_2 = 0 \end{cases}[/tex]
From the third equation, we have [tex]c_1=-c_2[/tex], and substituting this into the second equation gives
[tex]-c_1 + c_2 + 2c_3 = 2c_2 + 2c_3 = 0 \implies c_2 + c_3 = 0 \implies c_2 = -c_3[/tex]
and in turn, [tex]c_1=c_3[/tex]. Substituting these into the first equation gives
[tex]2c_1 + 3c_2 + c_3 = 2c_3 - 3c_3 + c_3 = 0 \implies 0=0[/tex]
which tells us that any value of [tex]c_3[/tex] will work. If [tex]c_3 = t[/tex], then [tex]c_1=t[/tex] and [tex]c_2 = -t[/tex]. Therefore the 3 vectors are not linearly independent, so their span cannot have dimension 3.
Repeating the calculations above while taking only 2 of the given vectors at a time, we see that they are pairwise linearly independent, so the span of each pair has dimension 2. This means the span of all 3 vectors taken at once must be 2.
Find the volume of a grain storage building that has
a cylinder bottom that is 20 meters in diameter and
10 meters in height. It has a cone-shaped top as a
roof that has the same diameter as the bottom and a
height of 6 meters. Find the volume of the building
in cubic meters if it was full of grain from the
bottom to the top of the roof. All measures noted in
the diagram below are in meters. Use = 3.14 in
your calculations. Enter only the number.
m
10 m
The solution is
10 m
The volume of the grain storage building is 3770. 4 m³
How to determine the volume
From the given question, it can be deduced that the grain storage is a combination of a cylinder and a cone
The volume of the grain storage = volume of the cone + the volume of the cone
The formula for finding the volume of a cylinder is given as;
Volume of cylinder = πr²h
But we know that radius is the diameter divided by 2
radius = 20/2
radius = 10 meters
height = 10 meters
Substitute the values in the formula
Volume of cylinder = 3. 142 × 10 × 10 × 10
Volume = 3. 142 × 1000
Volume = 3142 m³
The formula for finding the volume of a cone is given as;
Volume of cone = [tex]\pi r^2\frac{h}{3}[/tex]
If the cone has the same diameter, then the radius is 10 meters and the height is 6 meters
Substitute the values into the formula
Volume of the cone = 3. 142 × 10 × 10 × 6/ 3
Volume = 3. 142 × 100 × 2
Volume = 628. 4 m³
The volume of the grain storage building = 3142 + 628. 4
The volume of the grain storage building = 3770. 4 m³
Thus, the volume of the grain storage building is 3770. 4 m³
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Answer:
3770. 4 m³
Step-by-step explanation:
i took the test
Help me with this question asap!
Answer:
false
Step-by-step explanation:
The converse of the statement is
If two angles are not a linear pair of angles, they are not adjacent.This is false by definition.
Ms. Callahan had 250 sheets of paper. She used 6 sheets of paper. She then gave each student 3 sheets of paper. Which expression represents the number of sheets of paper Ms. Callahan had left after she gave paper to n students?
Answer:
250 - 6 - 3n
Step-by-step explanation:
Let n equal the number of students.
The probability of buying a movie ticket with a popcorn coupon is 0.629 and without a popcorn coupon is 0.371. If you buy 29 movie tickets, we want to know the probability that more than 16 of the tickets have popcorn coupons.
Consider tickets with popcorn coupons as successes in the binomial distribution. Do not include p= in your answer.
Answer:
Step-by-step explanation:
The probability and the parameter
Step-by-step explanation:
The formula for probability in a binomial distribution is where p is the probability of success (ticket with popcorn coupon), n is the number of trials (tickets bought) and x the number of successes desired. In this case p=0.629 (probability of buying a movie ticket with coupon), n=29, and x=17,18,19, ...29.
The probability of more than 16 is equal to the sum of the probability of x=17, 17,18,19, ...29.
What is the first step in solving 5 + = 3?
A. add 5 to both sides
B. add 3 to both sides
C. subtract 5 from both sides
D. divide each side by 8
Answer:
c subtract 5 from both sides
What are the next three terms in the sequence -27, -19,
-11, -3, 5, ...?
Answer:
13, 21, 29
Step-by-step explanation:
You are adding 8 to each term. -27 + 8 = -19 + 8 = -11 + 8 = -3, etc.
The function f(x) = x3 – 8x2 + x + 42 has zeros located at 7, –2, 3. Verify the zeros of f(x) and explain how you verified them. Describe the end behavior of the function.
Answer:
zeros are {-2, 3, 7} as verified by graphingend behavior: f(x) tends toward infinity with the same sign as xStep-by-step explanation:
A graphing calculator makes finding or verifying the zeros of a polynomial function as simple as typing the function into the input box.
ZerosThe attachment shows the function zeros to be x ∈ {-2, 3, 7}, as required.
End behaviorThe leading coefficient of this odd-degree polynomial is positive, so the value of f(x) tends toward infinity of the same sign as x when the magnitude of x tends toward infinity.
x → -∞; f(x) → -∞x → ∞; f(x) → ∞__
Additional comment
The function is entered in the graphing calculator input box in "Horner form," which is also a convenient form for hand-evaluation of the function.
We know the x^2 coefficient is the opposite of the sum of the zeros:
-(7 +(-2) +3) = -8 . . . . x^2 coefficient
And we know the constant is the opposite of the product of the zeros:
-(7)(-2)(3) = 42 . . . . . constant
These checks lend further confidence that the zeros are those given.
(The constant is the opposite of the product of zeros only for odd-degree polynomials. For even-degree polynomials. the constant is the product of zeros.)
Solve for the Unknown B:5(B + 4) = 3(B-1) +B
Answer:
B = - 23
Step-by-step explanation:
5(B + 4) = 3(B - 1) + B ← distribute parenthesis on both sides
5B + 20 = 3B - 3 + B
5B + 20 = 4B - 3 ( subtract 4B from both sides )
B + 20 = - 3 ( subtract 20 from both sides )
B = - 23
Find the missing length indicated
Step-by-step explanation:
there is a nice formula for the height in a right-angled triangle :
h = sqrt(p×q)
h being the height to the 90° angle, p and q being the segments (left and right of the height) of the Hypotenuse.
so, in our case
x = sqrt(25×144) = 5×12 = 60
Determine if the points are solution points to the inequalities below. If the point is a solution, enter yes. If the point is not a solution, enter no. Enter yes or no in lower case letters (no capital letters).
Answer:
a. no
b. yes
c. yes
d. no
Step-by-step explanation:
To test a solution, put the values where the variables are, and simplify to the point where you can tell whether the statement is true.
Each ordered pair is (x, y), so the first value gets substituted for x; the second value gets substituted for y.
a.11 < 13 -2 = 11 . . . . no
b.8 ≤ 16 -3 = 13 . . . . yes
c.20 > 18 -4 = 14 . . . . yes
d.9 ≥ 15 -5 = 10 . . . . no
Suppose that a and b are integers with a < b How many numbers are in the list a, a+1, a+2.... b?
So I thought about doing a-(a-1) to get the first number to one so the list becomes 1,2,3 but i soon realized that does not work
The count of numbers in the list a, a+1, a+2.... b is b - a + 1
How to determine the count of numbers in the list a, a+1, a+2.... b?The list of numbers is given as:
a, a+1, a+2.... b
From the above list, we can see that the numbers are consecutive numbers.
This means that, the count of numbers in the list is
Count = Highest - Least + 1
Where
Highest = b
Least = a
Substitute the known values in the above equation
Count = b - a + 1
Hence, the count of numbers in the list a, a+1, a+2.... b is b - a + 1
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The equation of the line passing through point _____ and point _____ plotted below in point-slope form is y+3 =-(x-4)
Answer:
The equation of the line passing through point __0___ and point __1___ plotted below in point-slope form is y+3 =-(x-4
Which of these tables represent a function
Answer: W
Step-by-step explanation: I remember learning this in school> you can tell it’s a function because no numbers repeat themselves etc .
What is the distance between the following points? Khan Academy Distance between two points
Answer: A
Step-by-step explanation:
The points are (-5, 8) and (4, 6).
The distance is [tex]\sqrt{(-5-4)^2 + (8-6)^2}=\sqrt{85}[/tex]
There are 12 different cookies on a plate. Aiden will choose 3 of these cookies to pack in his lunch. How many different groups of cookies can he choose from 12?
A) 220
B) 320
C) 420
D) 440
I know the correct answer is A) 220, but I am not sure why?
The number of different groups of cookies he can choose from the 12 cookies is 220
How to determine the number of different groups of cookies he can choose from the 12 cookies?The given parameters are:
Number of cookies, n = 12
Selected cookies, r = 3
The number of different groups of cookies he can choose from the 12 cookies is calculated as:
Numbers = 12C3
The combination formula is represented as:
nCr = n!/(n - r)!r!
Substitute the known values in the above equation
Numbers = 12!/(12 - 3)!3!
Evaluate the difference in the above equation
Numbers = 12!/9!3!
Expand the above equation
Numbers = 12*11*10*9!/9!3!
Evaluate the quotient
Numbers = 12*11*10/3!
Expand the above equation
Numbers = 12*11*10/3*2*1
Evaluate the products
Numbers = 1320/6
Evaluate the quotients
Numbers = 220
Hence, the number of different groups of cookies he can choose from the 12 cookies is 220
So, the complete parameters are:
Number of cookies, n = 12
Selected cookies, r = 3
Number of selection = 220
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A golf lesson lasts from 10:00 a.m. - 11:15 a.m. and includes a 15 minute break with equal lengths of time before and after the break. At what time should the break start?
The time at which the break started is 10 : 30 am.
What time did the break start?The first step is to convert the time between 10:00 a.m. - 11:15 a.m. to minutes.
The time between 10:00 a.m. - 11:15 a.m. is 1 hour 15 minutes
In order to convert hours to minutes, multiply hour by 60
1 x 60 = 60 minutes
60 minutes + 15 minutes = 75 minutes
The second step is to subtract the time from the break from the duration of the golf lesson
75 minutes - 15 minutes = 60 minutes
The third step is to divide 60 minutes into equal halves by dividing 60 by 2
60 / 2 = 30 minutes
The last step is to add 30 minutes to the time the lesson started : 10 : 00 am + 30 minutes = 10 : 30 am
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What number is six and four hundredths larger than two and five tenths?
Answer:
eight and thirty-seven fiftyths
Step-by-step explanation:
6 and 4/100 + 2 and 5/10
6 and 1/25 + 2 and 1/2
156 / 25 + 5 / 2
312 / 50 + 125 / 50
437 / 50
400 / 50 = 8
8 and 37 / 50
9/16+7/8=
A.)1-3/16inches
B.)1-7/16inches
C.)1-11/16inches
D.)1/-13/16inches
Answer:
hey can you show me the pic because the question doesn't make any sense
IM IN A HURRY PLEASE HELP ME QUESTION IS DOWN BELOW WORTH 15 POINTS each
In the given figure, the measure of the central angle CAD is 80°, the major arc is arc CBD, and minor arc is arc CD. The measure of arc BEC is 2.27r and that of arc BC is 0.87r.
About the Central Angle:
An angle formed by two radii of a circle is known as a central angle. Thus, arc BC and arc CD both subtends central angles at the center.
Since BD is the diameter of the circle,
∠BAC + CAD = 180°
It is given that ∠BAC = 100°
⇒ ∠CAD = 180° - 100°
⇒ ∠CAD = 80°
About Major Arc:
The arc which subtends an angle greater than 180° at the center, is called a major arc.
Angle subtended by arc BEC = 360° - m(arc CD)
= 360° - 80°
= 280° > 180°
∴ Arc BEC is the major arc
About Minor Arc:
The arc which subtends an angle less than 180° at the center, is called a minor arc.
⇒ Arc CD is the minor arc.
Calculating arc BEC and arc BC:
Let us assume the radius of the circle is r.
Then, the formula of the measure of an arc is given by,
θ × (π/180) × r
Here, θ is the angle ( in degrees) subtended by the arc at the center.
Arc BEC = 260 × (π/180)r ......... [Put π = 3.14]
= 2.27r
Similarly, arc BC = 100 ×(π/180) × r .......... [Put π = 3.14]
= 0.87r
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How do you solve 1.023 x 3.5 ?
Answer:
Step-by-step explanation:
3.5805