please help. Free the denominator of the fractionfrom irrationality:
[tex] \frac{2}{5 \sqrt{3} } [/tex]
[tex] \frac{ \sqrt{5 } + 2 }{ \sqrt{5} - 2} [/tex]
Answer:
see explanation
Step-by-step explanation:
Given
[tex]\frac{2}{5\sqrt{3} }[/tex]
To rationalise the denominator, multiply the numerator/ denominator by [tex]\sqrt{3}[/tex]
= [tex]\frac{2\sqrt{3} }{5\sqrt{3}(\sqrt{3}) }[/tex]
= [tex]\frac{2\sqrt{3} }{15}[/tex]
-----------------------------------------------------------------------
Given
[tex]\frac{\sqrt{5}+2 }{\sqrt{5}-2 }[/tex]
Multiply the numerator/ denominator by the conjugate of the denominator.
The conjugate of [tex]\sqrt{5}[/tex] - 2 is [tex]\sqrt{5}[/tex] + 2 , then
= [tex]\frac{(\sqrt{5}+2)(\sqrt{5}+2) }{(\sqrt{5}-2)(\sqrt{5}+2) }[/tex] ← expand numerator/denominator using FOIL
= [tex]\frac{5+4\sqrt{5}+4 }{5-4}[/tex]
= [tex]\frac{9+4\sqrt{5} }{1}[/tex]
= 9 + 4[tex]\sqrt{5}[/tex]
12c - 4c + 18 = 50 solving for variable
Answer:
c=4
Step-by-step explanation:
subtract 50-18= 32
then subtract 12c-4c= 8c
8c=32
divide 8c by 32 which gives you
c=4
Answer:
[tex]:\implies \sf 12c - 4c + 18 = 50 \\ \\ \\ [/tex]
[tex]:\implies \sf 8c = 50 - 18 \\ \\ \\ [/tex]
[tex]:\implies \sf 8c = 32 \\ \\ \\ [/tex]
[tex]:\implies \sf c = \frac{32}{8} \\ \\ \\ [/tex]
[tex]:\implies \underline{ \boxed{\textsf { \textbf{c = 4}}}} \\ \\ \\ [/tex]
A line includes the points (9, -7) and (-6, -2). What is its equation in slope-intercept form?
Answer:
[tex]y=\frac{-1}{3}x-4[/tex]
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Step 1: Define
Point (9, -7)
Point (-6, -2)
Step 2: Find slope m
[tex]m=\frac{-2-(-7)}{-6-9}[/tex]
[tex]m=\frac{-2+7}{-15}[/tex]
[tex]m=\frac{5}{-15}[/tex]
[tex]m=\frac{-1}{3}[/tex]
[tex]y=\frac{-1}{3}x+b[/tex]
Step 3: Find y-intercept b
[tex]-7=\frac{-1}{3}(9)+b[/tex]
[tex]-7=-3+b[/tex]
[tex]-4=b[/tex]
Step 4: Write linear equation in slope-intercept form
[tex]y=\frac{-1}{3}x-4[/tex]
A juggler throws a beanbag into the air with a speed of 1.0 \dfrac{\text m}{\text s} 1.0 s m 1, point, 0, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction . How long does it take for the beanbag to reach its maximum height?
Answer:
0.102 s
Step-by-step explanation:
Given the following :
Initial speed (u) = 1 m/s
How long does it take the bean bag to reach maximum height?
At maximum height, the final velocity v = 0
Acceleration due to gravity g = - ve (upward motion) =? - 9. 8m/s²
Using the relation:
v = u + gt
0 = 1 - 9.8t
9.8t = 1
t = 1 / 9.8
t = 0.102 s
Answer:
0.10
Step-by-step explanation: Khan Academy
Can someone please help me on this math chart and graph above I’ve already posted 3 pictures of it and no one is answering :( I’ll mark as brainliest if you answer. Picture is above thank you.
the function is x^2-9, so all you have to do is replace x with a number. for example, 2.
so 2^2-9 is -5. the plot would be 2, -5. basically, plug in a number to be the x coord, and whatever number you get will be your y coord.
after you graph a few plots (doing the same thing above), draw a line through all of them.
if the line goes up towards the right top corner, it's increasing. if it goes down the right bottom corner, it's decreasing.
Help!! I gave u brainliest!
Answer:
15. -140.008
16. [tex]j = \frac{17-15q}{4}[/tex]
17. [tex]q = \frac{17 - 4j}{15}[/tex]
Step-by-step explanation:
15. -2.3(8.6)²+ 3.5(8.6)= -140.008
16.
15q + 4j = 17
4j = 17 - 15q
[tex]j = \frac{17-15q}{4}[/tex]
17.
15q + 4j = 17
15q = 17 - 4j
[tex]q = \frac{17 - 4j}{15}[/tex]
Write an equation in slope-intercept form that goes through the points (4, 4) and (1, 2).
Step-by-step explanation:
Hey there!
The given points are; (4,4) and (1,2) as (x1,y1) and (x2,y2).
Note: Use double point formula for the equation.
Now;
[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)[/tex]
Put all values.
[tex](y - 4) = \frac{2 - 4}{1 - 4} (x - 4)[/tex]
Simplify it.
[tex](y - 4) = \frac{ - 2}{ - 3} (x - 4)[/tex]
[tex](y - 4) = \frac{2}{3} (x - 4)[/tex]
[tex](y - 4) = \frac{2}{3} x - \frac{2}{3} \times 4[/tex]
[tex]y = \frac{2}{3}x - \frac{8}{3} + 4 [/tex]
[tex]y = \frac{2}{3} x - \frac{8 + 12}{3} [/tex]
[tex]y = \frac{2}{3} x + \frac{4}{3} [/tex]
Therefore, the equation is; y = 2/3x+4/3.
Hope it helps...
Food bank usage in Britain has grown dramatically over the past decade. The number of users, in thousands, of the largest food bank in year t is estimated to be N(t) = 1.3e0.81t , where t is the number of years since 2006.25
(a) What does the 1.3 represent in this context? Give units.
(b) What is the continuous growth rate of users per year?
(c) What is the annual percent growth rate of users per year?
(d) Using only your answer for part (c), decide if the doubling time is more or less than 1 year.
Answer:
A) 1.3 represents the number of foodbank users in thousands in the year 2006
B) 0.81 per year
C) 124.79%
D) the doubling rate is less than a year.
Step-by-step explanation:
A) We are given N(t) = 1.3e^(0.81t) where t in thousands the number of years since 2006. N(t) is in thousands
Thus, in 2006,t = 0.
So, N(0) = 1.3e^(0.81 × 0)
N(0) = 1.3
Thus,1.3 represents the number of foodbank users in thousands in the year 2006
B) From the question, we see that the continuous growth rate is 0.81t.
This is 0.81 per year
C) The exponent of the growth rate is e^(0.81t).
Thus gives; 2.2479^(t)
This means the annual growth factor for each year is 2.2479.
Thus,annual percent growth rate is;
(2.2479 - 1) × 100% = 124.79%
D) From C above we saw that the annual percent growth rate is more than 100%. This means that it takes less than a year for the number of users to be doubled.. Thus, the doubling rate is less than a year.
For addition, drag tiles onto the board.
To form a group, place one tile on top of another.
-5(-2) =
Answer:
I think the answer you are looking for is 10.
Step-by-step explanation:
-5 x -2 = 10
Help pls i don’t wanna get a bad grade :(
Answer:
the answer is d
Step-by-step explanation:
because the time x(sec) is 10 and all the way down and the height y(ft) is 40 and all the way down also because if you keep mulitplying you get the answer for d like 20 X 5 = 40 and 5 X 2= 10
HOPE THIS HELPS :) :) HAVE A NICE DAY
Find the values of x and y. 3x - 5 5y - 4 y + 12
The values of x and y in the equilateral and Isosceles triangles are 7 and 4 respectively.
What is an equilateral triangle?An equilateral triangle is a triangle that has all its sides equal to each other.
Therefore,
3x - 5 = 5y - 4 (equilateral triangle)
3x - 5y = 1
Therefore,
y + 12 = 3x - 5 (Isosceles triangle)
y - 3x = - 17
Hence,
3x - 5y = 1
- 3x + y = - 17
-4y = -16
y = -16 / -4
y = 4
Therefore,
3x = 1 + 5(4)
3x = 21
x = 21 / 3
x = 7
learn more on equilateral triangle here: https://brainly.com/question/19997105
#SPJ1
Solve for I.
-30 = 5(x + 1)
Answer:
x or I=-7
Step-by-step explanation:
What is the first step in solving for the solution to this problem?
2(m + 10) = 4(m -15)
Answer:
Multiplying the variables and numbers in the parentheses by the number next to them.
Step-by-step explanation:
can you terminate 1/10
Answer:
Hope this helps...if it dosent, sorry
Step-by-step explanation:
The result of a survey show that out of 160 people, 100 of them recycle on a regular basis. Based on this survey, what percent of people recycle regularly?
Answer:
47% is the correct answer
In September, a website had 12,514 visitors. In October, the website had 13,460 more visitors than it did in September. The website had the same number of visitors in November as it did in October. How many visitors did the website have in September, October, and November combined?
Answer: 64462 visitors
Step-by-step explanation:
In September, a website had 12,514 visitors.
In October, the website had 13,460 more visitors than it did in September. This will be:
= 12514 + 13460
= 25974
The website had the same number of visitors in November as it did in October.
September = 12514 visitors
October = 25974 visitors
November = 25974 visitors
Total visitors = 12514 + 25974 + 25974
= 64462 visitor
I NEED HELP PLEASE !!
1) 3ab+5ba
2) Round off 68.374 to two decimal places
3) 3(c+7)
4) What fraction of 2 metres is 40cm ?
Answer:
2)68.37
3) 3×c+3×7
=3c+21
Solve the following inequality. Give the answer in interval form. -4c>2(5-2c)
Answer:
I believe it would be no real number
Step-by-step explanation:
If you use PEMDAS and multiply the (5-2c) by 2 you get 10-4c. You'd then have to isolate the c and move it over by adding 4c to each side, which would make the inequality 0>10 or even if you flipped it to be -10>0. Both of which are false.
PLEASE HELP ME!!!! l.........
Answer:
your answer is second option, maybe
Answer:
second choice 100% sure
PLEASE HELP QUICKLY! 30 POINTS AND WILL MARK BRAINLIEST.
Write an equation for the th term of the arithmetic sequence below.
-12, -3, 6, ...
A. f(n)=-9n-21
B. f(n)=9n-21
C. f(n)=9n+21
D. f(n)=-9n+21
Answer:
c
Step-by-step explanation:
you need to find how the numbers increase each time to help you.
Geometry homework!
Hiii I’m having a really hard time with my homework, by any chance do you know the right answer?
Thank you!
Answer:
D
Step-by-step explanation:
The numbers between the < , > show the change from the preimage to the image. So, <-2,3> would be the x - 2 and the y + 3.
So, A(5,6) -> A'(3,9)
B(6,-3) -> B'(4,0)
C(7,2) -> C'(5,5)
gimme a really hard riddle if you dont do a good one i will prolly delete your question no actually gimme two riddles this is for a lot of points lol
Answer:
I speak without a mouth and hear without ears. I have no body, but I come alive with wind. What am I?
also
You measure my life in hours and I serve you by expiring. I’m quick when I’m thin and slow when I’m fat. The wind is my enemy.
Step-by-step explanation:
riddle
I speak without a mouth and hear without ears. I have no body, but I come alive with wind. What am I?
What disappears as soon as you say its name?
answer scroll down
an echo
silence
What is 7x9? State your sentence below.
Answer:
63
Step-by-step explanation:
7x9= 63
or you could do 9x7=63
Answer:
63
Step-by-step explanation:
7+7+7+7+7+7+7+7+7=63
i can type 39 words 36 secs at this rate how many words will i type in one minute.
Answer:
65
Step-by-step explanation:
You can write it as a ratio. 39:36. You then have x:60. You can divide 36 by 60 and then divide 39 by that number (0.6)
Answer:
65 words perminute
Step-by-step explanation:
36/ 36=1
39/36= 13/12=1 1/12
1 1/12 x 60=65
If on a scale drawing 240 feet
are represented by 10 inches,
then a scale of ¼ inch
represents how many feet?
Answer:
6 feet
Step-by-step explanation:
240 feet : 10 inches
24 feet : 1 inch
? feet : 1/4 inch
to get from 1 to a 1/4 you divide by 4, so you do 24 ÷ 4
24 ÷ 4 = 6
Answer:
6 ft
Step-by-step explanation:
First, make this visually understandable using a ratio:
240 ft = x ft
10 in [tex]\frac{1}{4}[/tex] in
To find the change between the inches,
1/4 ÷ 10 = 0.025
Use this same amount to find x ft:
240 (0.025) = 6
x = 6 ft
To double-check:
240/10 = 24
6/0.25 = 24
☺
In an apartment building, there is only one elevator that residents are allowed to use. The elevator picks up six people in the main lobby and ascends 4 floors. Next, the elevator ascends another 2 floors and descends 3 floors. The elevator ascends 8 more floors, then descends 2 floors. The elevator finally descends another 2 floors before getting stuck. What floor is the elevator stuck on?
Answer:
It is stucked on the 9th floor
Step-by-step explanation:
We want to know the floor on which the elevator is stucked.
The main lobby is the ground floor and has a value of 0 floor
Ascends four floors with 6 people from the lobby
It is now on floor 4
Ascends another two so it is now on floor 4 + 2 = 6
Ascends another 2, then descend descends 3
That will be 6 + 2 -3 = 5th floor
Ascends 8 more , then descend 2
That will be 5 + 8 -2 = 11
Descends another 2, making 11 - 2 = 9
It is stucked on floor 9
Kindly note, when it ascends, that is a positive value, when it descends, that is a negative
just had a brain spat. help?
Answer:
6
Step-by-step explanation:
First you multiply both sides by 3. Than you simplfiy. Next you add 24 to both sides. Simplify. Finally you divide both sides by 12 & simplify. Which should give you 6.
(Answer = 6)
Answer:6
Step-by-step explanation:
does anyone know this
Answer:
A
Step-by-step explanation:
when you open the brackets you do 5 to the power of 5 and X to the power of 5
2( y+2) = 6x-7
please help
Answer:
2y + 4 = 6x - 7
2y = 6x - 11
2y + 6x = -11
Answer:
2y+4=6x-7
take 4 from both sides
2y=6x-3
divide each side by 2
y=6x-3
HELP!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1. 30
2. 0.83333333
3. 1.2
4. 30
Step-by-step explanation:
H is the only reasinable decimal