Answer:
[tex]\displaystyle \frac{ 1 }{3} [/tex]
Step-by-step explanation:
we would like to compute the following limit:
[tex]\displaystyle \lim_{n \to \infty } \frac{ \sqrt{4 {n}^{2} + 3n } }{6n} [/tex]
if we compute the limit from numerator to denominator directly,we'd end up with
[tex] \dfrac{ \infty }{ \infty } [/tex]
which is an indeterminate form so we must do it in a different way. well to compute this limit,we can consider factoring method . notice that we can factor the numerator and that yields
[tex]\displaystyle \lim_{n \to \infty } \frac{ \sqrt{ {n}^{2} ( 4 {}^{} + \frac{3}{n} )} }{6n} [/tex]
remember that ,
[tex] \sqrt{ab} \implies \sqrt{a} \sqrt{b} [/tex]thus we acquire:
[tex]\displaystyle \lim_{n \to \infty } \frac{ {n} \sqrt{ ( 4 {}^{} + \frac{3}{n} )} }{6n} [/tex]
reduce fraction:
[tex]\displaystyle \lim_{n \to \infty } \frac{ {} \sqrt{ 4 {}^{} + \frac{3}{n} } }{6} [/tex]
as n approaches to ∞ ,3/n approaches to 0 which yields:
[tex]\displaystyle \frac{ \sqrt{ 4 {}^{} } }{6} [/tex]
simplify square root:
[tex]\displaystyle \frac{ 2 }{6} [/tex]
reduce fraction:
[tex]\displaystyle \frac{ 1 }{3} [/tex]
hence,
[tex]\displaystyle \lim_{n \to \infty } \frac{ \sqrt{4 {n}^{2} + 3n } }{6n} = \boxed{ \frac{1}{3} }[/tex]
and we're done!
which of the following is the best estimate of the square root of 90
Answer:
9.5
Step-by-step explanation:
9.5x9.5= 90.25 which is the closest you can get without going into further decimals
need help with this please..
Answer:
.1/2
Step-by-step explanation:
is the same as 20÷40
which gives you 1/2
Find m<1 if <1 is complementary to <2, <2 is supplementary to <3, and
m<3 = 126
Answer:
∠ 1 = 36°
Step-by-step explanation:
Supplementary angles sum to 180° then
∠ 2 + ∠ 3 = 180° , that is
∠ 2 + 126° = 180° ( subtract 126° from both sides )
∠ 2 = 54°
Complementary angles sum to 90° , then
∠ 1 + ∠ 2 = 90° , that is
∠ 1 + 54° = 90° ( subtract 54° from both sides )
∠ 1 = 36°
Which is greater 55.5% or 3/5
Answer:
3/5
Step-by-step explanation:
3 divided by 5 is 0.6, which translates to 60%.
55.5% < 60%
Answer:
3/5 is the greater .
I hope it will help you. Have a great day ahead.
Find the sum of the given arithmetic series. 14 + 28 + 42 + 56 + ... + 280
14 + 28 + 42 + 56 + … 280
= 14 (1 + 2 + 3 + 4 + … + 20)
= 14 × 20 × 21 / 2
= 2940
where we use the well-known identity,
[tex]\displaystyle \sum_{i=1}^ni = 1 + 2 + 3 + \cdots + n = \dfrac{n(n+1)}2[/tex]
Help me with 19 and 20
19 find x
20 find y
Answer:
19) x = 48
20) y = 21
Step-by-step explanation:
19)
7x - 248 + x + 44 = 180
(because they're supplementary angles)
8x - 204 = 180
8x = 180 + 204
8x = 384
x = 48
20)
2y + 50 + 5y - 17 = 180
7y + 33 = 180
7y = 180 - 33
7y = 147
y = 21
Manuel estimates that 2/3 of a pizza is left. Stephen estimates that 3/4 is left. They are
going to compromise for a joint estimate by using the number halfway between their 2
estimates. What is their joint estimate?
Answer:
it is 2.5/3.5
Which absolute value equation shows the distance this temperature reading is from zero?
11. Eve reads 25 pages per hour. Write an expression for the number of pages she reads
in h hours.
Answer:
25h = x
Step-by-step explanation:
If x is the variable for how many pages she reads in total, 25 multiplied by h (the number of hours) will give you the total pages read!
What is 6a +9 ≤ -15?
Answer:
a = -5
Step-by-step explanation:
IF A = -5
6 ( - 5 ) + 9
- 30 + 9
-21
-21 is less than -15 so it works
is 9.373 a repeating decimal? is it rational?
Answer:
Rational
Step-by-step explanation:
For each ordered pair in the table, how does the second number compare to the first number... can yall tell me I need to turn it in Tomorrow!!??
Answer:
The first number in each ordered pair tells how far across the X line is to move. The second number in each ordered pair tells how far up or down the Y line is to move. The point where the X and Y lines cross is marked “0” on the graph. It is called the “origin,” and is the starting point for plotting points.
Help for brainliest plz
Answer:
marke me as brainly please
Collect 5 large numbers and 5 small numbers related in life and express them as exponents. Sample- Distance of the Earth from the moon
384400 km = 3.844 × 10⁵ km
Answer:
Exponential notation is a powerful way to express repeated
multiplication of the same number. Specifically, powers of 10
express very large and very small numbers in a manner which is
convenient to read, write and compare.
• For any non-zero integer a, a–m 1
m a
=
• Laws of exponents are
(a) am × an = am+n
(b) am ÷ an = am–n
(c) (am)
n = amn
(d) am × bm = (ab)
m
(e) a° = 1, where a ≠ 0
(f)
m m
m
a a
b b
=
• Numbers can be expressed in expanded form by using exponents.
• Very large and very small numbers can be expressed in standard
form.
• Standard form is also called scientific notation form.
Step-by-step explanation:
Example 1 : Multiplicative inverse of 27 is
(a) 2–7 (b) 72 (c) – 27 (d) – 27
Solution : The Correct answer is (a).
Example 2 : The human body has about 100 billion cells. This number
can be written in exponential form as
(a) 10–11 (b) 1011 (c) 109 (d) 10–9
Solution : The correct answer is (b).
In examples 3 to 5, fill in the blanks to make the statements true.
Example 3 :
4
4 5 (– 4) ______ 4
× =
Solution : 54
Example 4 : ( ) ( ) 2 3 –3 –2 2 3 _____ × =
Solution : 6–6
Example 5 : The distance between earth and sun is 150 million
kilometres which can be written in exponential form as
_______.
Solution : 1.5 × 108 km
In examples 6 and 7, state whether the statements are true (T) or false (F):
Example 6 : Very small numbers can be expressed in standard form
using positive exponents.
Solution : False.
Example 7 : (–10) × (–10) × (–10) × (–10) = 10–4
Solution : False.
Step-by-step explanation:
Graph y - 4x + 3 = 0 and {(x , y ): x ≤ 1}. Click on the graph until the correct graph appears.
Anyone? Got an ideas
length and width of a field are in the ratio 5.3 If the wilth of 아 the field is 42m, then its length is
Answer:
The length of the feild is:
(42 / 3) x 5 = 70m
So the length of the feild is 70m
Hope it helps, Brainliest please <3
What is the measure of angle K?
59°
A
m/K
B
g/n
D
A. 180°
B. 58
C. 122
ОО
D. 32
Answer:
the answer is going to be c
Help please ill give you brainlest
Is this correct??
Meena is helping her school librarian to arrange books on the shelves. Based on this situation, answer the following questions: (Attempt any 4 questions)
2/3 of the books are Language books and 1/5 are Science books. What can you conclude from this statement?
There are fewer Language books than Science books
There are more Language books than Science books
They are equal in number
Can’t say anything
If the remaining books are of Mathematics, what is the fraction of those books?
1/15 b) 4/15 c) 2/15 d) 7/15
Answer:
c) 2/15
Step-by-step explanation:
LA= 2/3 = 10/15
S=1/5 = 3/15
15/15 - 13/15 = 2/15
Math books= 2/15
V= 1/3Bh solve for H
A. 3b/v
B. b/3v
C. v/3b
D. 3v/b
Answer: D
Step-by-step explanation:
v = 1/3bh
3v/b = h
Find the median of the data. 7, 5, 12, 8, 2, 9, 4
The median of the data is: 7
FIRST ONE TO AWNSER GETS BRAINLYISTAND 50 POINTS
AND MY LOVE !!!!!!!!!!
Answer:
Answer: c
Step-by-step explanation:
A. ❎
[tex]16 +( 4 \times {5}^{2} ) \\ = 16 + 100 \\ = 116[/tex]
B. ❎
[tex]16 +( 4 \times {5}^{2} ) \\ = 16 \times 100\\ = 116[/tex]
C. ✔
[tex]16 + (4 \times {5}^{2} ) \\ = 16 \times 100\\ = 116[/tex]
D. ❎
[tex]16 + (4 \times {5}^{2} ) \\ = 16 + (4 \times 25) \\ = 16 + 100 \\ = 116[/tex]
Help! I don’t get this ine
[tex]3|2x+4|-1=11 \ \ /+1\\\\3|2x+4|=12 \ \ /:3\\\\|2x+4|=4\\\\2x+4=4 \ \ \text{or} \ \ 2x+4=-4\\\\2x=0 \ \ \text{or} \ \ 2x=-8\\\\\boxed{x=0} \ \ \text{or} \ \ \boxed{x=-4}[/tex]
How many milligrams are equal to 39 grams?
A 390 milligrams
B 390,000 milligrams
C 3,900 milligrams
D 39,000 milligrams
Answer:
39000
1 gram=1000milligrams
hence,
39 grams=39×1000milligrams
=39000milligrams
If a block has a volume of 216 cm³ in length and width of sides respectively 12 cm and 6 cm. What is the height of the cuboid?
Step-by-step explanation:
I hope it helped U
91.) A car is traveling at 5 m/s. How far has it gone in 12 seconds?
5 m/s · 12 s = 5 m · 12 = 60 m
Answer: in 12 seconds that car has gone 60 metres.
Answer:
A car travels at a constant rate of 5 metres per second.
That means that for every second,the car travels 5m/s.
The question is asking you for how far the car travelled after 12 seconds.Muntiply 12 to bottom and top.
5m/1s*12/12=60/12
The car travels 60 metre in 12 seconds
hope this helps to u and don't forget to mark me as brainliest
helpppppppppp it’s multiple choice questions I’ll brainlist!
Answer:#1 is D
Step-by-step explanation:angles must equal 180 and yk that the angle under e is 39 so 180-39 =141
-3(2+ k)- 6k = 6+ 3k
Answer:
solve for k, k=-1
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable
Answer:
k=-1
Step-by-step explanation:
First step: Distribute
Result: -6-3k-6k=6+3k
Second step: Combine like terms
Result: -6-9k=6+3k
Third step: Add 6 to both sides
Result: -9k=12+3k
Fourth step: Subtract 3k from both sides
Result: -12k=12
Final step: Divide by -12 to both sides
Result/Answer: k=-1
Side note:
Hopefully this helps!
x= -6, Y= 9 and z = -2 evaluate the expression. -5 x Y - (X^4)/ Y-2z
Answer:
418
Step-by-step explanation:
please make me brainlist
