Answer:
30x-43+12x+13=180°(Linear pair)
42x-30=180°
42x=210
x=5°
Evaluate the limit of sequence at infinity.
[tex] \displaystyle \large{ \lim_{n \to \infty } \frac{ \sqrt{4 {n}^{2} + 3n } }{6n} }[/tex]
Please show your work too. Thanks!
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!
6. Find the additive inverse of -7 + 51.
-7 - 51
7 + 5
7 - 51
-7 + 51
Answer:
7 - 51
Step-by-step explanation:
additive inverse : a number that when added to a given number gives zero the additive inverse of 4 is −4
help me pleaseeee this is due tomorrow
Answer:
The value of A=7
The value of B=2
SEMOGA MEMBANTU
What percentages are these colors? Please help.
Answer:
I think purple is 50% green 30% and orange 20%. sorry if I get it wrong
Given 2x+6=12 prove x=3
Answer:
3times 2 + 6=12
Step-by-step explanation:
Solve for X. Show your work
1/2x - 1/4 = 3/5x + 2
Answer:
[tex]x = - \frac{45}{2} [/tex]
Step-by-step explanation:
[tex] \frac{1}{2} x - \frac{1}{4} = \frac{3}{5} x + 2[/tex]
[tex]20( \frac{1}{2} x - \frac{1}{4} ) = 20( \frac{3}{5} x + 2)[/tex]
[tex]20 \times \frac{1}{2} x - 20 \times \frac{1}{4} = 20( \frac{3}{5} x + 2)[/tex]
[tex]10x - 20 \times \frac{1}{4} = 20 \times \frac{3}{5} x + 20 \times 2[/tex]
[tex]10x - 5 = 20 \times \frac{3}{5} x + 20 \times 2[/tex]
[tex]10x - 5 = 4 \times 3x + 20 \times 2[/tex]
[tex]10x - 5 = 4 \times 3x + 40[/tex]
[tex]10x - 5 - 12x = 40[/tex]
[tex]10x - 12x = 40 + 5[/tex]
[tex] - 2x = 40 - 5[/tex]
[tex] - 2x = 45[/tex]
[tex]x = - \frac{45}{2} [/tex]
Which is a step in the process of calculating successive discounts of 8% and 10% on a $50 item?
a. take 2% of $50
b. take 8% of $46
C. take 10% of $46
d. take 18% of $50
Answer:
C. take 10% of $46
Step-by-step explanation:
I took it on edge
Solve the equation. X+3.5 = 10
A.X = 13.5
B. X = 7.5
C. X = 6.5
D. X = 30.5
Answer:
the answer is C
Step-by-step explanation:
its making write more so yeah
Answer:
x=6.5
Step-by-step explanation:
subtract 3.5 from 10 and it gives you 6.5
:)
A running trail 6 1/2 miles long. Leigh plans on running this trail over the course of 4 days. How much of the trail will she have to run each day.
Answers
1 5/8
46
6 1/8
8
Please respond asap
Answer:
[tex]1 \frac{5}{8}[/tex]
Step-by-step explanation:
To figure out this problem we need to divide 6 1/2 by 4.
Convert any mixed numbers to fractions. Then your initial equation becomes:
[tex]\frac{13}{2} \div \frac{4}{1}[/tex]
Applying the fractions formula for division:
[tex]= \frac{13 \times 1}{2 \times 4}[/tex]
[tex]= \frac{13}{8}[/tex]
Simplifying 13/8, the answer is:
[tex]= 1 \frac{5}{8}[/tex]
HELP!!! WILL MARK AS BRAINLIEST!!
Jasmine has a bottle that contains 7/10 litre of orange juice.
She pours out some orange juice and now has 1/4 litre left.
How much orange juice did Jasmine pour out?
Micheala pays her cell phone service provider $19.95 per month for her service plan and 15 cents per minute. In June, her phone bill is $127.95. How many minutes did micheala use in June
Answer:
720 minutes
Step-by-step explanation:
Total phone bill = $127.95
Service plan fee = $19.95
Total cost per minute = 127.95 - 19.95
= $108.00
No. of minutes used = Total cost per minute / Rate per minute
= 108.00 / 0.15
= 720 minutes
what is the Domain of this?
Answer: The domain is 3/7, -6, and 4.
Step-by-step explanation:
In the case of rational expressions, we can input any value except for those that make the denominator equal to 0 (since division by 0 is undefined). In other words, the domain of a rational expression includes all real numbers except for those that make its denominator zero.
As the other answer mentioned, x = -6 and x = 4 are not in the domain, since they both make the denominator equal to zero, and thus the overall expression undefined. But x = 3/7 is allowed, since f (3/7) = 0.
Every other real number is also acceptable.
In interval notation, the domain is then
[tex](-\infty,-6) \cup (-6,4) \cup (4, \infty)[/tex]
In a shipment of 180 flashlights, 30 were selected. If 2 flashlights were defective, how many would be expected to be defective in the entire shipment?
Answer:
two out of 30
30 x 6 = 180
2 x 6 = 12
if 2 out of 30 are defective, and there are 180 total, 12 should be expected to be defective
Step-by-step explanation:
Help please! Correct answer gets brainlesst
.
Here is a sketch of Noah's bedroom
He wants to create a scale drawing of his bedroom to show to his designer.
The actual length of wall A is 3.5 m.
He uses a scale of 1 m = 6 cm to draw his scale drawing.
How long should the length of wall A be on the scale drawing?
Answer:
21cm
Step-by-step explanation:
for every 1m, it is 6cm on the paper. thus, your answer would be 3.5÷1 which is 3.5
then multiply 3.5 by 6 which is 21
PLS HELP I Would really appreciate it
Step-by-step explanation:
0.376
(In expanded form)
= 0 × 1 + 3 × 1/10 + 7 × 1/100 + 6 × 1/1000
Answer:
0 × 1 + 300 × 1/10 + 70 × 1/100 + 6 × 1/1000
How do I write this in slope intercept form: (-3,-4) and (4,-3)
PLEASE HELP I NEED IT TONIGHT!!!?!?!!!??
What is the value of 2 raised to negative 4.
Answer:
-2
Step-by-step explanation:
PLEASE ANSWER AS QUICK AS POSSIBLE
Which of the following operations would be used to solve 5x = 10?
Answer:
division
Step-by-step explanation:
you need to get x by its self. so divide by 5 on both sides and get x = 2
Find the unit rate. 55.9 meters in 13 seconds. Please help ASAP!
Answer:
4.3 meters per second
Step-by-step explanation:
55.9 meters ÷ 13 seconds
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 13
plz help me with math
-32.306 + (-24.884) as a decimal.
how do you found the difference from -5 - (-3) = ?
Answer:
-2
Step-by-step explanation:
-5 - (-3)
-5 + 3
= -2
Nolan reads 14 pages per hour .After a total of 3 hours of reading this week,how many pages will Nolan have read in all
The point A(1,5) is rotated 90° clockwise around the origin. What are the coordinates of the resulting point, A'?
Answer:
A'(5,-1)
Step-by-step explanation:
90° clockwise= (y,-x)
Point=A(1,5)
A(1,5)=A'(5,-1)
The width of a rectangle measures (3c-9d)(3c−9d) centimeters, and its length measures (8c-2d)(8c−2d) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?
HELP
-22d + 22c
Step-by-step explanation:
The expression for the perimeter of the rectangle is 2(11c - 11d)
Perimeter of a rectangle = 2(length + width)
Length = 3c - 9d
Length = 3c - 9d Width = 8c - 2d
The expression for the perimeter can be expressed thus :
2(3c - 9d + 8c - 2d)
Collect like terms :
2(3c + 8c - 9d - 2d)
2(11c - 11d)
Hence, the expression for the perimeter of the rectangle is 2(11c - 11d)
Learn more : https://brainly.com/question/2142493?referrer=searchResults
In one baseball season, Peter hit twice the difference of the
number of home runs Alice hit and 6. Altogether, they hit
18 home runs. How many home runs did each player hit
that season?
Answer:
Alice hit 10 home runs.
Peter hit 8 home runs.
Step-by-step explanation:
Let [tex]p[/tex] be the number of home runs Peter hit.
Let [tex]a[/tex] be the number of home runs Alice hit.
[tex]p=2(a-6)\\a+p=18\\\\a+2(a-6)=18\\a+2a-12=18\\a+2a=30\\3a=30\\a=10\\\\a+p=18\\10+p=18\\p=8\\\\p=2(a-6)\\8=2(10-6)\\8=2(4)\\8=8[/tex]
-5x-4y=-8 Write a formula for f(X) in terms of x
hope its helps l got it from https://www.cymath.com/ its good for math solving.
Answer:
f(x) = - [tex]\frac{5}{4}[/tex] x + 2
Step-by-step explanation:
Note that y = f(x)
Rearrange making y the subject
- 5x - 4y = - 8 ( add 5x to both sides )
- 4y = 5x - 8 ( divide terms by - 4 )
y = - [tex]\frac{5}{4}[/tex] x + 2 , that is
f(x) = - [tex]\frac{5}{4}[/tex] x + 2
If m m ..................................................................................................................................................................
Answer:
hold up wah
Step-by-step explanation:
What is this? I don’t know the answers plz help
Answer:
a.
Step-by-step explanation:
Not defined
May be iylt help you
Answer:
C
Step-by-step explanation:
Matrices can be multiplied together if the number of columns in the first matrix equals the number of rows in the second matrix.
A is of order (3 × 2) and B of order (2 × 3 )
Since the 2 in the first and the 2 in the second match , the matrices can be multiplied
The resulting matrix is of order (3 × 3 )
This is obtained from the first 3 in order of A and the second 3 in order of B
Then AB is defined and the resultant matrix is of order 3 × 3
-4+ 3
2x + 7
Z
X 8 cm Y
Answer:
Plz question ask in right way