(12 points) Let X = (1,2,3,4,5).
(a) Find the number of sequences of length 7 over X.
(b) A palindrome of length kis a sequence aja2 ... 0 such that alk-1...0,01 = 0102 ...k-101ka Find the number of palindromes of length 7 over X.
(c) How many three digit odd positive integers with distinct digits can you write using only the numbers in X?
The answer is C
If I am wrong, please come after me, I am not perfect
the day before yesterday is 2 days after Sunday what day is today
Thursday
Explanation:
Two days after Sunday is Tuesday
Tuesday would be the day before yesterday (Wednesday)
So today is Thursday
Answer:
The Day before the day before yesterday was two days after the day before my birthday. Today is Thursday. The following steps can be used in order to determine the day on birthday: Step 1 - Remember today is Thursday according to the given data. Step 2 - Now, the Day before the day before yesterday is Monday. Step 3 - The two days before Monday is Saturday. Step 4 - And the day of the birthday is after Saturday that is Sunday
Step-by-step explanation:
What is the graph of 3x + 5y = -15?
5
5
4
4
3
3
3
2
2
2
1
1
1
1 2 3
b
1 2 3 4 5
4-3-2-11
1 2 3 4 5 x
54-3-2-1
2+
34
1-3-2-1
2
م ح لي د کا
2
-3
5
5
5
o
O
5
4
3
Answer:
Can you put the picture up so we can see the graph?
Determine whether the statement is true or false.
When an event is almost certain to happen, its complement will be an unusual event.
How many congruent faces does the shape below have?
A.
0
B.
1
C.
2
D.
3
Answer:
C. 2
Step-by-step explanation:
It has only 2 congruent faces- bases
Answer: the answer is c which is 2 , 2 faces
Step-by-step explanation: as the cylinder has 2 faces . The cylinder is a prism and any prism has 2 faces . HOPE IT HELPS YOU BUDDY . PLEASE GIVE BRAINLIEST .THANKS .
Pattern A follows the rule "add 5" and Pattern B follows the rule "subtract 2." Pattern A 5 10 15 20 25 Pattern B 20 18 16 14 12 Which ordered pairs are formed from combining a term in Pattern A with its corresponding term in Pattern B? Select all correct answers.
Answer:
(10, 20)
(25, 12)
(15, 20)
Step-by-step explanation:
Hopes this helps! :)
Answer:
the correct answers are,
(15, 16)
(25, 12)
(5, 20)
[tex]\begin{equation}\text { Question: If } \ln (x+y)=4 \times y \text {. Find } \frac{d^{2} y}{d x^{2}} \text { at } x=0 \text {. }\end{equation}[/tex]
I think you meant to say
[tex]\ln(x+y) = 4xy[/tex]
and not "4 times y" on the right side (which would lead to a complex value for y when x = 0). Note that when x = 0, the equation reduces to ln(y) = 0, so that y = 1.
Implicitly differentiating both sides with respect to x, taking y = y(x), and solving for dy/dx gives
[tex]\dfrac{1+\frac{dy}{dx}}{x+y} = 4y + 4x\dfrac{dy}{dx}[/tex]
[tex]\implies \dfrac{dy}{dx} = \dfrac{4xy+4y^2-1}{1-4x^2-4xy}[/tex]
Note that when x = 0 and y = 1, we have dy/dx = 3.
Differentiate both sides again with respect to x :
[tex]\dfrac{d^2y}{dx^2} = \dfrac{(1-4x^2-4xy)\left(4y+4x\frac{dy}{dx}+8y\frac{dy}{dx}\right)-(4xy+4y^2-1)\left(-8x-4y-4x\frac{dy}{dx}\right)}{(1-4x^2-4xy)^2}[/tex]
No need to simplify; just plug in x = 0, y = 1, and dy/dx = 3 to get
[tex]\dfrac{d^2y}{dx^2} \bigg|_{x=0} = \boxed{40}[/tex]
solve it in form of cos and sin pls
[tex]\text{L.H.S}\\\\=\dfrac{\cot A}{1- \tan A} + \dfrac{\tan A}{1- \cot A}\\\\\\=\dfrac{\tfrac{\cos A}{\sin A}}{1- \tfrac{\sin A}{\cos A}} + \dfrac{\tfrac{\sin A}{\cos A}}{1-\tfrac{\cos A}{\sin A}}\\\\\\=\dfrac{\tfrac{\cos A}{\sin A}}{\tfrac{\cos A- \sin A}{\cos A}} + \dfrac{\tfrac{\sin A}{\cos A}}{\tfrac{\sin A - \cos A}{\sin A}}\\\\\\=\dfrac{\cos^2 A}{\sin A(\cos A-\sin A)} + \dfrac{\sin^2 A}{\cos A(\sin A - \cos A)}\\\\\\[/tex]
[tex]=\dfrac{\cos^2 A}{\sin A(\cos A-\sin A)} - \dfrac{\sin^2 A}{\cos A(\cos A - \cos A)}\\\\\\=\dfrac 1{\cos A - \sin A} \left( \dfrac{\cos^2 A}{\sin A} - \dfrac{\sin^2 A}{\cos A}\right)\\\\\\=\dfrac 1{\cos A - \sin A} \left(\dfrac{\cos^3 A - \sin^3 A}{\sin A \cos A} \right)\\\\\\=\dfrac 1{\cos A - \sin A} \left[\dfrac{(\cos A - \sin A)(\cos^2 A + \sin^2 A + \sin A \cos A)}{\sin A \cos A} \right]\\\\\\=\dfrac{\cos^2 A + \sin^2 A+\sin A \cos A}{\sin A \cos A}\\\\\\[/tex]
[tex]=\dfrac{\cos^2 A}{\sin A \cos A}+\dfrac{\sin^2 A}{\sin A \cos A}+\dfrac{\sin A \cos A}{\sin A \cos A}\\\\\\=\dfrac{\cos A}{\sin A} + \dfrac{\sin A}{\cos A} + 1\\\\\\=\cot A + \tan A + 1\\\\\\=1 + \tan A + \cot A\\\\=\text{R.H.S}\\\\\text{Proved.}[/tex]
Suppose a free medical test is given for a certain disease. The test is 90% reliable in the following sense: If a person has the disease there is a probability of 0,9 that the test will give a positive response; whereas, if a person does not have the disease, there is a probability of only 0,1 that the test will give a positive response. Data indicate that your chances of having the disease are only 1 in 10000. You decide to undergo the test and a few days later you learn that you had a positive response from the test. What is now the probability that you have the disease?
Your chances of having the disease:-
1/100000.0001So your current probability:-
0.0001(0.1)0.00001Answer:
Step-by-step explanation:
[tex]\red{ \rule{0pt}{900000pt}}[/tex]
[tex]\red{ \rule{500pt}{900000pt}}[/tex]
Find the volume of the solid obtained by rotating the region bounded by the given curves about the line x=−7
y=x^2, x=y^2
Answer:
X=23>45_78
X=2^3< /7= 8
Y= 8x^
comclucion :
coronita pliss
Elizabeth had 3 orange marbles, 2 green marbles, and 3 yellow marbles in a bag. There were no other marbles in the bag. Without looking, Elizabeth selected a marble from the bag.
What is the probability Elizabeth selected an orange marble from the bag?
A 2/8
B 3/8
C 5/8
D 6/8
Answer:
3/8
(B)
Step-by-step explanation:
3+2+3=8.
There are 3 orange, so 3/8
Answer:
7/8
Step-by-step explanation:
3+3+2=8 but it said probability she selected AN orange marble
Affordable Auto offered to enter people into a drawing for a free car if they shared the company's advertisement on social media. This table gives the total number of times the advertisement was shared since the promotion began. The data can be modeled by a quadratic function.
Length of promotion (days) 2 4 6 8 10 12
Number of shares 1200 3219 6240 10264 15290 21318
What function best models the data?
y=1.2x^2+20.6x+280
y=125.3x^2+183.3
y=1.2x^2+280
y=125.3x^2+257.8x+183.3
Answer:
D; y=125.3x2+257.8x+183.3
Step-by-step explanation:
I just took the test
have a good day! :)
Please help me solve this problem
Answer:
$46,800,000
Step-by-step explanation:
1. Find the total number of shares that Live Fund has. They have 24% of the total shares, which is 78,000. To find their portion of the shares, multiply the total amount by the percent they own; 78,000 * .24. This gives us 18720 shares.
2. Since they are selling half of their shares, divide their total number of shares by 2. This gives us 9360.
3. Each share is worth $5000, so multiply 9360 by 5000. This gives us a final answer of $46,800,000.
Alternatively, we could have just found half of the percent of shares that they own in step 1, so what 12% of 78,000 is instead, and multiplied by 5000.
Mrs Silverstein has 14 boys and Il girls in her
class. She must select two students at random to
serve as the class presidents What is the
probability that she will choose a boy followed by a
giri?
Answer:
Step-by-step explanation:
Here, I will instead go through the process for finding the probability of choosing two girls. Then once you understand how it was done, hopefully you will be able to answer the actual question for yourself.
Finding the probability of choosing two girls. Let's make it simpler by starting with the probability of choosing the first girl only.Probability of choosing the first girl. (Note: the letter chosen to represent the event is not important. Pick something that makes sense to you and be consistent)
P(G1) = # of girls / # of total outcomesSo the number of girls we know to be 11. What is the number of total outcomes? Well a boy or a girl can be chosen, and there are 14 boys and 11 girls, for a total of 25 students.
P(G1) = 11/ 25Let's find the probability of choosing the second girl from here.
P(G2) = # of girls / # of total outcomesHowever, this time things have changed. We've already chosen one girl, so the number of girls remaining to choose from is reduced 11 to 10. And the total number of students to choose from is reduced from 25 to 24.
P(G2) = 10 / 24Now we have the probability of choosing the first girl and the probability of choosing the second girl. From here, we just need to combine them to find the probability of both things happening together. To calculate the probability of two different events occurring, you multiply the two probabilities together.
Probability of choosing two girls. Let's use T for Two girls.
P(T) = P(G1) × P(G2) = (11 /25) × (10/24)
From here you can use a calculator to find the answer. This answer can either be written as a fraction, a decimal, or a percentage.
= 0.19 = 19 / 100 = 19%
The hypotenuse of a right triangle measures 7 cm and one of its legs measures 2 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth
22. Four years ago, age of X was 3 times Y. Six years from now X will be twice Y. Ages of X and Y
now are:
A.
034 and 14
B.
034 and 13
C.
033 and 14
D.
035 and 14
Answer:
a 34 and 14
Step-by-step explanation:
let present age be x and y
equation 1
x-4=3(y-4)
x=3y-8
equation 2
x+6=2(y+6)
x=2y+6
then
2y+6=3y-6
y=14
x=34
i need this with the steps
convert 30 g 519 mg to g
Answer:
30.519 g
Step-by-step explanation:
The relation
1 g = 1000 mgSolving
30 g 519 mg30 g + 519 mg30 g + (519/1000) g30 g + 0.519 g30.519 gy=x^2+x+5 How many x-intercepts does the graph of this quadratic have?
Answer:
0
Step-by-step explanation:
Use discramint formula,
[tex] \sqrt{ {b}^{2} - 4ac} [/tex]
Here a and b is 1
c is 5 so we have
[tex] \sqrt{ {1}^{2} - 4(1)(5) } [/tex]
[tex] \sqrt{1 - 20} [/tex]
[tex] \sqrt{ - 19} [/tex]
Since the number is negative, we have zero x intercepts.
Find the distance between the two points
(−12, 8) and (−3, 8)
Answer:
9
Step-by-step explanation:
Plug into Distance formula --> √(-3 - (-12))^2 + (8 - 8)^2
---> 9
Yosef waters a date tree and a lemon tree. The lemon tree is 8 feet tall, The
equation I) 3 x 8 can be used to find the height of the date tree. How do the
heights of the two trees compare?
The lemon tree in 3 feet taller than the date tree.
The lemon tree is 3 times as tall as the date treo,
The date tree is 3 feet taller than the lemon tree.
The date tree is 3 times as tall as the lemon tree,
Done -
My Progress
Che 2023 by Commanches. Al rights reserved. These material, or any portion thereof, may not be reproduced or shared in any manner without express written consent of Cumiculum
The relationship between the heights of the tree is the date tree is 3 times as tall as the lemon tree.
What does division mean?Division is the process of determining the quotient of two or more numbers. The sign used to denote division is ÷. Division is one of the basic mathematical operations.
What is the relationship between the trees?Height of the date tree / height of the lemon tree
3 x 8 /8 = 3
To learn more about division, please check: https://brainly.com/question/13281206
Help I think it’s probably D
Pyramid ABCDE is a square pyramid.
What is the lateral area of pyramid ABCDE?
A ) 162 3 cm^2
B ) 324 3 cm^2
C ) 648 3 cm ^2
D ) 1296 3 cm ^2
Answer:
B
Step-by-step explanation:
i took the test and got a 100% so ys that the answer.
Answer:
B
Step-by-step explanation:
"lateral" means "belonging to the side".
so, the lateral area of a square pyramid (or any kind of pyramid or other 3-D structure, really) is the sum of the areas of its side faces.
so, in essence we have to calculate the area of one of the side triangles, and then multiply it by 4, as the other 3 are equal (due to the fact that the base is a square, and we are clearly dealing with a regular, symmetric pyramid).
each of the side triangles is an isoceles triangle (both legs are equal long, therefore both side angles are equal too).
that means both side angles are 60° each.
and because we know that the sum of all angles in a tingle is always 180°, the angle at the top is
180 - 60 - 60 = 60°
hey, all 3 angles are the same !
that means the triangle is not only isoceles but equilateral (all 3 sides are equally long).
and that means all sides are 18 cm long.
the area of a triangle can be calculated for our scenario in 2 major ways :
1. baseline × height / 2
2. Heron's formula (since we know all 3 sides) :
A = sqrt(s(s-a)(s-b)(s-c)), s = (a+b+c)/2
I don't know which one your teacher wants you to use.
so,
1.
the height we get via Pythagoras
leg² = (baseline/2)² + height²
18² = (18/2)² + height²
324 = 81 + height²
81×4 = 81 + height²
81×3 = height²
height = sqrt(81×3) = 9×sqrt(3)
the area of the triangle is
18 × 9 × sqrt(3) / 2 = 9 × 9 × sqrt(3) = 81×sqrt(3) cm²
2.
s = (18+18+18)/2 = 54/2 = 27
A = sqrt(27(27-18)(27-18)(27-18)) =
= sqrt(9×3×9×9×9) = 3×3×3×3×sqrt(3) = 81×sqrt(3) cm²
the total lateral area is then
4×81×sqrt(3) = 324×sqrt(3) = 561.1844617... cm²
oh, I see, i think you did not include the square root in the answer options. that is confusing.
but as you can see, option B must be correct.
Help picture below problem 10
Answer:
E. APR
I hope this is what u want because I didn't quite get it is it like name the angle as like acute or obtuse or what
2x +5 > -1 on the number line
Answer:
Below
Step-by-step explanation:
2x + 5 > -1
Treat the equality sign (ex. < >) as the costumary equal sign (=).
2x + 5 + (-5) > -1 + (-5) ---- -5 will cancel out the 5 on the left
2x/2 > -6/2 ------ divide by 2 to single out the x
x > -3
Remember to draw an open dot. Draw an arrow from -3 to the extreme right.
What is the normal approximation for pi?
Answer:
Most people use 3 or 3.14
If IN = 2x + 10 and AT = 26, find x. Group of answer choices 10 8 12 6
Answer:
your answer is B. 8
Step-by-step explanation:
Substitute x for 8.
2(8)+10
16+10=26
Someone please help me with this
Answer:
A
Step-by-step explanation:
writting only because answer need 20 words
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Question 14 of 25
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2021-2022 T-Math-Alg1-Comprehensive-CBT: Section 2 - Calculator ...
Question 2-14
Andy and Brett are selling tickets to their high school baseball game
• A total of 234 tickets were sold to the game
• Student tickets cost $5 each
. General tickets cost $ each
. The total revenue from ticket sales was $1268
Which statements are true? Choose all that are correct
The total revenue from the student tickets was $925.
A total of 185 student tickets were sold.
Olfg is the number of general tickets sold and s is the number
11
student tickets sold, the total revenue generated by the student and general tickets can be represented by the oquation 58 + 79 = 1,268
O Atotal of 98 general tickets were sold.
The revenue from the general tickets was greater than the revenue from the student tickets.
Ifg is the number of general tickets sold and s is the number of student tickets sold, thens + g = 234
POUS
Type here to search
O
BI
Answer:
the 1st, 2nd and 6th statements are true.
and probably the 3rd statement is true.
I am not sure about the 3rd statement, as I cannot read the original in your screenshot, and your transcribed description is probably not correct and contains typos.
but all you need is in the explanation below to decide, if the actual 3rd statement is true or not.
if "58 + 79 = 1268" actually means "5s + 7g = 1268" then it is true. otherwise it is false.
Step-by-step explanation:
g = number of general tickets sold
s = number of student tickets sold
so, in total
g + s = 234
tickets were sold.
and the revenue was
7g + 5s = $1,268
out of these 2 basic equating we get
g = 234 - s
and then
7(234 - s) + 5s = 1,268
1,638 - 7s + 5s = 1,268
-2s = -370
s = 185
g = 234 - s = 234 - 185 = 49
so, we know
185 student tickets were sold for 5×185 = $925
49 general tickets were sold for 7×49 = $343
£ 686 is shared out between David, Steve and Mike. Mike gets twice as much as Steve who gets twice as much as David. How much does Mike get?
Answer:
£ 392
Explanation
The axis of symmetry for the function f(x) = −x2 − 10x + 16 is x = −5. What are the coordinates of the vertex of the graph?
(−5, 41)
(−5, 56)
(−5, 76)
(−5, 91)
Considering the definition of axis of symmetry and vertex of a quadratic function, the correct answer is the first option: the coordinates of the vertex of the graph is (-5,41).
Quadratic function
The general form of a quadratic function is f(x = ax²+ bx+ c, whose graph is a parabola.
Axis of symmetry and vertex of a quadratic function
Quadratic functions have a maximum (if a<0) or a minimum (if a>0). This point is the vertex of the parabola.
That is, the vertex of a quadratic equation or parabola is the highest or lowest point on the graph corresponding to that function. The vertex is in the plane of symmetry of the parabola; anything that happens to the left of this point will be an exact reflection of what happens to the right.
In other words, the vertex divides the graph into two halves that are mirror images of each other, so that the axis of symmetry always passes through the vertex.
Vertex of f(x) = −x² − 10x + 16
In this case, you know that the axis of symmetry for the function is x = −5.
So the vertex on the x-axis has a value of -5. To calculate the value of the vertex on the y-axis, you must substitute the value of the vertex on the x-axis in the function:
f(-5) = −(-5)² − 10×(-5) + 16
Solving:
f(-5)= 41
In summary, the correct answer is the first option: the coordinates of the vertex of the graph is (-5,41).
Learn more about the vertex of a quadratic function:
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Answer:
a
Step-by-step explanation:
a