Answer: Suppose that [tex]S_{n}[/tex], [tex]K_{n}[/tex] and [tex]A_{n}[/tex] are all sequences, also suppose that [tex]A_{n}[/tex] ⊂ [tex]K_{n}[/tex] ⊂ [tex]S_{n}[/tex] ∀ [tex]n[/tex] ∈ [tex]Z^{+}[/tex]. This implies that [tex]A_{n}[/tex] ⊂ [tex]S_{n}[/tex] as required.
Step-by-step explanation:
If you suppose that [tex]S_{n}[/tex], [tex]K_{n}[/tex] and [tex]A_{n}[/tex] are all representing three sequences respectively, and you also suppose that [tex]A_{n}[/tex] is a subset (in other words subsequence) of [tex]K_{n}[/tex] and [tex]K_{n}[/tex] is a subset (in other words subsequence) of [tex]S_{n}[/tex], where n takes its values from the set of positive integers. We can safely say that [tex]A_{n}[/tex] is a subsequence of [tex]S_{n}[/tex] and this can demosnstrated mathematically as follows:
Suppose that [tex]S_{n}[/tex], [tex]K_{n}[/tex] and [tex]A_{n}[/tex] are all sequences, also suppose that [tex]A_{n}[/tex] ⊂ [tex]K_{n}[/tex] ⊂ [tex]S_{n}[/tex] ∀ [tex]n[/tex] ∈ [tex]Z^{+}[/tex]. This implies that [tex]A_{n}[/tex] ⊂ [tex]S_{n}[/tex] as required.
Find the perimeter of the figure.
7 mi
7 mi
Answer:
28mi
Step-by-step explanation:
The shape given is a square because all the internal angles are the same. Also, all the sides are equal;
The perimeter of a square is given as;
= 4L
Where L is the dimension of the sides
L in this problem is 7mi
Input the parameter and solve;
Perimeter = 4 x 7 = 28mi
what does they y represent in the equation y=mx+b
Answer:
The y-intercept of this line is the value of y at the point where the line crosses the y axis.
Step-by-step explanation:
The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept.
Select all the expressions that are rational numbers.
a. 3.14159…
b. –9.1234567123…
c. –9.293847210103938…
d. 227
e. –26
Answer:
d,e
Step-by-step explanation:
rational numbers are positive and negative whole numbers.
Answer:
d,e
Step-by-step explanation:
57.99 The 9 in the hundredths place is _______ the value of the 9 in the tenths place.
Answer:The 9 in the hundredths place is 0.1x the value of the 9 in the tenths place.
Step-by-step explanation:
Every place going forward is 10x forward, so this means that every place going backwards is 0.1x.
Answer:
1/10th
Step-by-step explanation:
Oct 16, 10:30:54 AM
A rocket is shot into the air. The function f (x) = -16x2 + 64x + 8 gives the
height of the rocket (in feet) as a function of the rockets horizontal distance from
where it was initially shot.
a. What was the initial height of the rocket when it was shot?
b. What is the maximum height the rocket reaches in the air?
a. The initial height of the rocket was
feet.
b. The maximum height the rocket reaches is
feet.
Answer:
A) 8 feet.
B) 72 feet
Step-by-step explanation:
We have the function [tex]f(x)=-16x^2+64x+8[/tex] which gives the height of the rocket (in feet) as a function of the rocket's horizontal distance.
Part A)
We want to find the initial height of the rocket when it was shot.
At the initial height, the rocket has not moved anywhere. So, the horizontal distance will be 0.
Therefore, to find the initial height, we will substitute 0 into our function. This yields:
[tex]f(0)=-16(0)^2+64(0)+8[/tex]
Evaluate:
[tex]f(0)=8[/tex]
Therefore, the initial height was 8 feet.
Part B)
Notice that our function is a quadratic.
Therefore, the maximum height will be given by the vertex of our quadratic.
To find the vertex, we use:
[tex](-\frac{b}{2a},f(-\frac{b}{2a}))[/tex]
Let's label our coefficients. We have [tex]-16x^2+64x+8[/tex]
Therefore, a=-16, b=64, and c=8.
Substitute them into the vertex formula to find the x-coordinate:
[tex]x=-\frac{64}{2(-16)}\\\Rightarrow x=64/32=2[/tex]
Now, to find the maximum height, substitute 2 back into our function f(x):
[tex]f(2)=-16(2)^2+64(2)+8[/tex]
Evaluate:
[tex]f(2)=-16(4)+64(2)+8\\\Rightarrow f(2)=-64+128+8\\\Rightarrow f(2)=72\text{ feet}[/tex]
Therefore, the rocket reaches a maximum height of 72 feet.
Sebastian drove for 2.2 hours at an average rate of 43.5 miles per hour. He calculates that he drove 95.7 miles. He knows the answer should be near 80, because 40 times 2 is 80. Which best explains Sebastian’s actual solution?
Answer: A. The actual product is reasonable because it is near 80 but greater than 80. Both factors were rounded down, making the estimate lower than the actual product.
Step-by-step explanation:
Answer: A. The actual product is reasonable because it is near 80 but greater than 80. Both factors were rounded down, making the estimate lower than the actual product.
Step-by-step explanation:
Find the equation of a line through (-9, 2) perpendicular to y=3x-12
1 point
y=-1/3x-1
y=3x-1
y=1/3x+4
y=-3x-1
9514 1404 393
Answer:
y = -1/3x -1
Step-by-step explanation:
The perpendicular line will have a slope that is the negative reciprocal of the slope of the given line. The given line's slope is the coefficient of x: 3. So, the perpendicular line's slope will be ...
m = -1/3
Only one answer choice has that value as the coefficient of x:
y = -1/3x -1
Please help me if you know it thank you so much
Answer:
a) 9 beats
b) 9 beats per minute
c) y=9x
d) 180 times
The slope of a line is ¾. A different line passes through the points (6, 3) & (-1, 5). Are the lines parallel? Why or why not?
Answer:
B. They are not parallel because their slopes are not equal.
Step-by-step explanation:
Find the slope of the line that runs through points (6, 3) and (-1, 5):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{5 - 3}{-1 - 6} [/tex]
[tex] slope (m) = \frac{2}{-7} = -\frac{2}{7} [/tex]
Since the slope of the line that passes through points (6, 3) and (-1, 5) is not the same with line that has a slope of ¾, therefore, both lines cannot be parallel.
The answer is "B. They are not parallel because their slopes are not equal."
find 759 divided by 3
Answer:
253 .....is that it??
Step-by-step explanation:
Answer:
253!
Step-by-step explanation:
help me please thank you
a tourist information center charges $10 per hour to rent a bicycle
Answer:
10per the other side of alloys
y=3x+22
x is equal to 225
9514 1404 393
Answer:
y = 697
Step-by-step explanation:
Put the value of x into the equation and do the arithmetic.
y = 3·225 +22 = 675 +22
y = 697
If a =
3
5
, b = 3, c = 1, d = 5, which equality is true?
A)
d
a
=
b
c
B)
a
b
=
c
d
C)
b
a
=
c
d
D)
a
d
=
b
c
Answer:
could you give a picture of the problem. cause I may be able to help but I cant really understand the question with what you typed
Answer:
D
Step-by-step explanation:
just took this test
Question 1
1 pts
The function f(x) = 4x + 10 models the amount of money Francis makes when babysitting
for x hours. How much money will he make for 2 hours of babysitting work?
2.
0-2
O-3
O 18
Answer:
18 would be yr answer
Step-by-step explanation:
y= -2x - 45. solve for x if y = -10
Answer:
-17.5
Step-by-step explanation:
-10 = -2x - 45
(add 45 on both sides)
35 = -2x
(divide both sides by -2)
x = -17.5
SOMEONE HELP WITH MY LAST TWO PROBLEMS
Answer:
What are your last 2 problems m8
Step-by-step explanation:
The only expression 3(2x+7)-4(-3x+5) is equal (=) to
Answer:
18x + 1
Step-by-step explanation:
3(2x + 7) -4(-3x +5)
6x + 21 + 12x - 20
6x + 12x + 21 - 20
18x + 1
Answer:
18x+1
Step-by-step explanation:
3(2x+7)-4(-3x+5)= 6x+21+12x-20
Combine Like Terms:
6x+12x= 18x
21-20=1
=18x+1
Shen is on the swim team. Each week he swims a total of 5000 meters. How many kilometers does he swim each week?
Be sure to include the correct unit in your answer.
Answer:
5 km
Step-by-step explanation:
to convert m to km you have to divide by 1000.
5000/1000=5
hope this helps!
Regina used nuts and fruits to make a snack mix. The graph below shows the quantities used for each serving
What do the points on the graph mean in this context? Select all that apply.
For every 3 cups of fruit, there is 1 cup of nuts.
For every 1 cup of fruit, there are 3 cups of nuts.
For every 2 cups of fruit, there are 6 cups of nuts.
For every 6 cups of fruit, there are 2 cups of nuts.
For every 12 cups of fruit, there are 4 cups of nuts.
Answer: 1st, 4th & 5th .
Answer:
1st, 4th, and 5th
Step-by-step explanation:
What does it mean to divide a number by
a fraction (e.g., ¾)?
Answer: You can divide a number by a fraction by flipping over the fraction and multiplying them together.
Step-by-step explanation:
For example:
Lets say we wanted to divide 8 by 3/4
8÷[tex]\frac{3}{4}[/tex]
Change the division symbol into multiplication, and flip over the fraction (a great way to remember doing this is to remember the phrase Copy Dot Flip - Copy the first digit as it is, put a dot for multiplication, and then flip the fraction over)
8 ·[tex]\frac{4}{3}[/tex]
Now, just multiply and reduce/simplify the fraction if needed
Final answer is [tex]\frac{32}{3}[/tex], no need to simplify or reduce
Hope that helps!!
PLZ HURRY IT'S URGENT!!
What is the y-intercept of the line?
y=2/3x+4
options:
0
1
2/3
4
Answer:
4
Step-by-step explanation:
y intercept is always the value without a coeffiecent
Answer:
ITS 4
Step-by-step explanation:
Plz help :( I need the negative if y plz show steps 6X plus 6Y equal 83/9 upper 2N
Answer:
x=8
Step-by-step explanation:
Simplifying
Combine like terms
Solving
By the end of Tina’s bike ride, she traveled a distance of 40 kilometers. How many miles did Tina ride? (1 mile ≈ 1.6 kilometers)
help plz brainless you help me
Answer:
24.85 or rounded to 24.9
Step-by-step explanation:
Conversion
K H D____D C M
The number of miles did Tina ride when (1 mile ≈ 1.6 kilometers) so it should be considered as the 25 miles.
Calculation of the number of miles:Since
By the end of Tina’s bike ride, she traveled a distance of 40 kilometers.
And we know that
1 mile ≈ 1.6 kilometers
So,
[tex]= 40 \div 1.6[/tex]
= 25 miles
hence, The number of miles did Tina ride when (1 mile ≈ 1.6 kilometers) so it should be considered as the 25 miles.
Learn more about miles here: https://brainly.com/question/13208356
A young reptile is 0.6 foot long. An adult reptile is 19.5 times as long. How many feet longer is the adult reptile than the young reptile?
Please help ASAP! All questions.
Answer:
I think i don't really know its been awhile for me.
Step-by-step explanation:
But i think you do 2 x 10 and what ever you get from that you multiply by 5 and what get from that you divide by 24.
I may not be right.
So please don't hate i tried.
The net of a rectangular shipping box is shown.
What is the surface area, in square centimeters, of the box?
Answer:
It would be 376.
Question 4
5 pts
4. Cassie has 45 marbles. Abdul has m If Cassie has 9 times as many
marbles as Abdul. Choose the equation that correctly represents the
number of marbles Abdul has.
O 9 x m = 45
O 45 - 9 = m
O C. 9+ m = 45
O D. 9 x 45 = m
Answer:
8 x m = 45
Step-by-step explanation:
cassie has 9 times which means multiplcation so its the first one
simplify 3 · 32 + 8 ÷ 2 − (4 + 3)
Answer:
= 93
Step-by-step explanation:
Calculate within parentheses:
(4+3)
= 7
Simplify:
= 3 * 32 + 8 ÷ 2 - 7
Multiply and divide (left to right):
= 96 + 8 ÷ 2 - 7
Multiply and divide (left to right):
= 96 + 4 - 7
Add and subtract (left to right):
= 93
**PLEASE HELP THIS IS DUE TODAY** when the sun's declination is at the highest point, what direction does the sun rise and set?