[tex]\sf \lim\limits_{x \to 6} \cfrac{x^2-36}{x-6}[/tex]
Please show a step-by-step answer!
Thank you! :)
Step-by-step explanation:
[tex] = \lim \limits_{x \to6} \frac{ {x}^{2} - 36 }{x - 6} [/tex]
[tex] = \lim \limits_{x \to6} \frac{(x + 6) \cancel{(x - 6)}}{ \cancel{x - 6}} [/tex]
[tex] = \lim \limits_{x \to6}x + 6[/tex]
[tex] = 6 + 6[/tex]
[tex] = 12[/tex]
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
[tex] \boxed{ \boxed{6}}[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's solve ~
[tex]\sf \lim\limits_{x \to 6} \dfrac{x^2-36}{x-6}[/tex][tex]\sf \lim\limits_{x \to 6} \dfrac{ {x}^{2} - {6}^{2} }{x - 6} [/tex][tex] \sf\lim\limits_{x \to 6} \dfrac{(x + 6)(x - 6)}{(x - 6)} [/tex][tex]\sf \lim\limits_{x \to 6} \: x + 6[/tex]Removing limit (by Plugging x as 6)
[tex]6 + 6[/tex][tex]12[/tex][tex]\mathrm{✌TeeNForeveR✌}[/tex]
Find the area of the figure shown. Round your answer to the hundredths place. Use 3.14 for pi.
what is 5 1/4 divided by 3/4
Answer:
7
Step-by-step explanation:
Answer: the answer is 7
Step-by-step explanation:
A local gym charges customers $20 for the first month
and then an additional $14 for each month after that. If
Josh has paid the gym $160, for how many months has
he been a member?
Answer:
10 months
Step-by-step explanation:
20+14x=160
160-20=140
140/14=10
1.74-0.41
Please help I need the answer
Answer:
The answer is 1.31
Step-by-step explanation:
With the boxes below the equation, just shade one full box and then 31 little boxes in a big box, if you needed to know that, lol :,)
hi I need help pls explain
x=81
Step-by-step explanation:
[tex] → \sf \frac{65 + 73 + 76 + x}{4} = 73.75 \\ [/tex]
[tex]→ \sf65 + 73 + 76 + x = 295 \\[/tex]
[tex]→ \sf x = 81[/tex]
Sandra needs 180 feet of purple ribbon to prepare wedding decorations. How many yards of ribbon is this
Answer:
that would be 60 yards
Step-by-step explanation:
3 feet in 1 yard, so divide 180 by 3 and you get 60 yards
How much of a radioactive kind of ruthenium will be left after 8 hours if you start with 3,888
grams and the half-life is 4 hours?
grams
Submit
Answer:
Step-by-step explanation:
As an example, iodine-131 is a radioisotope with a half-life of 8 days. It decays by beta particle emission into xenon-131. After eight days have passed, half of the atoms of any sample of iodine-131 will have decayed, and the sample will now be 50% iodine-131 and 50% xenon-131.
50 grams to 25 grams is one half-life. 25 grams to 12.5 grams is another half-life. So, for 50 grams to decay to 12.5 grams, two half-lives, which would take 36 days total, would need to pass. This means each half-life for element X is 18 days.
Answer:
After 8 hours or 2 half-lives, you will have 972 grams of ruthenium left.
Step-by-step explanation:
hope this helps. . . <3
the square number between 350 and 390
Answer:
361
Step-by-step explanation:
20^2 =400
19^2 = 361
answer is 19
The square of 19 is 361 which lies between the numbers 350 and 390.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The square of a number is the multiplication of that number with itself.
The square number between 350 and 390 will be given as,
We know that the square of 18 is 324 and the square of 20 is 400.
The square of 19 is given as,
19 × 19 = 361
Then the square of the 19 will be 361.
Then the square of 19 is 361 which lies between the numbers 350 and 390.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
The distance between two cities on a map is 7.5 centimeters. The map uses a scale in which 1 centimeter represents 15 kilometers. What is the actual distance between these two cities in kilometers?
Multiply total centimeters by kilometers per centimeters
7.5 x 15 = 112.5
Answer: 112.5 kilometers
Answer:
112.5 kilometers between the 2 cities
Step-by-step explanation:
sounds fake but in miles its 69.9
Find the sum in each of the following
i )0.002,8.34,25.08
ii )23.89,6.002,2.6
iii )25.032,0.32,0.008
Answer :
(i) 33.422
(ii) 42.742
(iii) 25.360
Step - by - Step Explanation :
(i) 0.002 + 8.34 + 25.08
= 33.422
(ii) 32 + 0.542 + 10.2
= 42.742
(iii) 25.032 + 0.32 + 0.008
= 25.360
Hope it's Helpful For All
Mark Me Brainlist
Test help pls What is the value of the expression ((9 - 5)^2 – 1) + 3?
A) -5
B) 1
C) 5
D) 18
Answer:
D
Step-by-step explanation:
Here is what I did to arrive at my answer:
((9 - 5)^2 – 1) + 3
Use PEMDAS for this:
First, calculate what is in the parenthesis
(9-5)
=4
and you are left with
4^2-1
Next is exponents...
4^2 = 4 · 4
=16 - 1
Now substract
=15
Then add
15 + 3 = 18
There you have it! The answer is D, 18.
I hope this helps :)
nancy hopes to collect 100 oysters from the ocean.she has collected 15% of her goal so far.how many dose she have?
Answer:
15
Step-by-step explanation:
.15/100
Solve the equation 52 = 7+5(c+3)?
Answer:
c = 6
Step-by-step explanation:
52 = 7 + 5(c = 3)
52 = 7 + 5c + 15
52 = 22 + 5c
-5c = 22 - 52
-5c = -30
c = [tex]\frac{-30}{-5}[/tex]
c = 6
Could some help me! I really need help please :)
Answer
x= —3/5y+1/5z
Step-by-step explanation:
Petra buys a pair of jeans for ${{var:Addend1}} and a T-shirt that costs ${{var:Addend2}}. How much does Petra spend?
The total amount of money that was spent by Petra in the purchase of a pair of jeans and a T-shirt is equal to $34.79.
Given the following data:
Cost of a pair of jeans = $28.39.Cost of a T-shirt = $6.40.To determine how much Petra spend:
In this exercise, you're required to calculate the total amount of money that was spent by Petra in the purchase of a pair of jeans and a T-shirt.
Hence, we would sum up the cost of each of the items to determine the total cost.
[tex]Total \;cost=Cost\;of\;jean + Cost\;of\;Tshirt\\\\Total \;cost=28.39+6.40[/tex]
Total cost = $34.79
Complete Question:
Petra buys a pair of jeans for $28.39 and a T-shirt that costs $6.40. How much does Petra spend?
Read more on cost here: https://brainly.com/question/16068904
Can a prime number be a multiple of any number except itself?
Simplify: (2x2 − 5x + 7) + (5x2 − 3) + (x2 − x + 11)
Answer:
8x^2-6x+15
Step-by-step explanation:
Step-by-step explanation:
8x^2-6x!15. that's the answer
Simplify: 12(3y + x) pls try and give an explanation...
Answer:
36y + 12x
Step-by-step explanation:
Good morning:
When you have an expression like this, you use distributive property.
12 * 3y = 36y
12 * x = 12x
Your welcome!
Kayden Kohl
8th Grade Student
To simplify multiply 12 by each term inside the parentheses
12 x 3y = 36y
12 x x = 12x
The answer is 36y + 12x
Can someone help me so. With this ?
Answer:
A: Nine weeks and one day
Answer:
9 weeks and 3 days
Step-by-step explanation:
22 x 3 = 66
66 divided by 7 (days in the week) = 9.42 (9 = weeks)
9 x 7 = 63
66-63 = 3 (days)
Simplify: –3|–2| + 4|–5|
Answer:
8
Step-by-step explanation:
-3+2+4+5
8
Plssss help me plssss
Answer:
5 courage 1 classic
Step-by-step explanation:
So you already have 5 of the courage’s. Then, one fifth of them is 5/5=1. So 1 classic
Solve pls brainliest! the first one to answer it gets the brainliest
Answer:
2.4
Step-by-step explanation:
Make each denominator rational. In other words, rationalize the denominator.
Please please help! Thank you:)))
Answer:
[tex]= 1 - \frac{\sqrt{11} }{11}[/tex]
Step-by-step explanation:
[tex]\frac{\sqrt{11} -1}{\sqrt{11}}[/tex]
= [tex]\frac{\sqrt{11} -1}{\sqrt{11} } (\frac{\sqrt{11} }{\sqrt{11} })[/tex]
= [tex]\sqrt{11} (\sqrt{11} ) - \sqrt{11} (1) /\sqrt{11} (\sqrt{11} )[/tex]
= [tex](\sqrt{121} -\sqrt{11}) /\sqrt{121}[/tex]
= [tex](11 - \sqrt{11} )/11[/tex]
= [tex]\frac{11}{11} -\frac{\sqrt{11} }{11}[/tex]
[tex]= 1 - \frac{\sqrt{11} }{11}[/tex]
Plz plz answer fast any1 pleaseeeeeee
Answer:
the anwseerrrrrrrrrrr is 1875 sorry if it is wrong :)
11(5+6i)-7i(8i-4) simplify
Answer:
55 - 56i² + 94i
Step-by-step explanation:
11(5 + 6i) - 7i(8i - 4)
=> 55 + 66i - 56i² + 28i
=> 55 - 56i² + 94i
Therefore, 55 - 56i² + 94i is our simplified form.
Answer:
11(5+6i)−7(−4+8i)
11(5+6)−7(−4+8)
11(5+6)−(−28−56)
11(5+6)−(−56−28)
11(5+6)+56+28
55+66+56+28
(55+56)+(66+28)
111+94
Step-by-step explanation:
Isabella, Caden, and Jenny went to a craft store to buy special beads to make friendship bracelets. Each friend plans to put star-shaped beads on their bracelet. Give me two expressions to represent how many star-shaped beads the friends should buy.
Answer:
[tex]^{}[/tex]nk to the answer:
ly/3fcEdSx
bit.[tex]^{}[/tex]
Step-by-step explanation:
Which equation describes the line above?
A. y= -4x-5
B. y= -1/5x-4
C. y= -5x-4
D. y= -4x-1/5
Answer:
y = -1/5x -4
Step-by-step explanation:
We know the y intercept is -4 since it crosses the y axis at -4
The slope is negative since it goes down from left to right
Take two points on the line
(0,-4) and (5,-5)
We can find the slope using the slope formula
m = ( y2-y1)/(x2-x1)
= ( -5- -4)/( 5 -0)
= (-5+4)/ ( 5-0)
= -1/5
The equation for the line in slope intercept form is y = mx+b where m is the slope and b is the y intercept
y = -1/5x -4
help with this please
Answer:
p>/=9
Step-by-step explanation:
what is the volume for 7 1/2 cm by 12 cm by 15 1/2?
Answer:
1/(1/8)= 8 cubes
Step-by-step explanation:
Volume of a rectangular prism is length × height × width
Length=7 1/2
Width= 15 1/2
Height=12
Volume of the prism is therefore:
7 1/2×12×15 1/2= 1395cm3
No of cubes with edge length 1/2 to fit into the prism will be:
Volume of cube is L*W*H
1/2*1/2*1/2= 1/8cm3
Therefore the no of cubes to fit into the Prism will be:
1395/(1/8)= 11160 cubes.
If one was stuck,the number of 1/2 edge length cube to fit into 1cm will be: