The answer is "[tex]\bold{\frac{2}{105}}[/tex]", and the further calculation can be defined as follows:
When the "r" is the greatest common divisor for the two fractions.
So, we will use Euclid's algorithm:
[tex]\to \bold{(\frac{8}{15}) -(\frac{188}{35})}\\\\\to \bold{(\frac{8}{15} -\frac{188}{35})}\\\\\to \bold{(\frac{56-54}{105})}\\\\\to \bold{(\frac{2}{105})}\\\\[/tex]
this is [tex]\bold{(\frac{8}{15}) \ \ mod \ \ (\frac{18}{35})}[/tex]
we can conclude that the GCD for [tex]\bold{\frac{54}{105}}[/tex], when divided by [tex]\bold{\frac{2}{105}}[/tex], will be the remainder is 0. Rational numbers go from [tex]\bold{\frac{2}{105}}[/tex] with the latter being the highest.
So, the final answer is "[tex]\bold{\frac{2}{105}}[/tex]".
Learn more:
greatest rational number:brainly.com/question/16660879
Factorize cos²A+3cosA+2
Answer:
(cosA+2)(cosA+1)
Step-by-step explanation:
cos^2A+cosA+2cosA+2
=cos(A)(cosA+1)+2(cosA+1)
=(cosA+2)(cosA+1)
Find a 3 digit number with all these properties: all 3 digits are different, the 1st digit is the square of the second digit in the 3rd digit on one more than twice the second digit
Answer:
425 or 937
Step-by-step explanation:
First, I listed out all the possible numbers for the first digits, namely, the squares under 10.
1*1=1
2*2=4
3*3=9
Since all the digits have to be different, the first digit cannot be 1 because 1 squared is 1. So that leaves us 4 and 9 to work with, which I tried out one at a time.
Starting with 4:
2 squared is 4.
42
2 times 2 plus 1 equals 5.
425
Starting with 9:
3 squared is 9.
93
2 times 3 plus 1 equals 7.
937
So here we have two numbers that both work and meet the requirements (unless I understood the problem wrong at the part where it says "...the second digit in the 3rd digit on one more than twice the second digit")!
I hope this helped! :D
ở đây có ai giỏi kế toán tài chính 1 và kế toán tài chính 2 không ạ ????
Answer:
WHAT ARE YOU SAYING?I CANT UNDERSTANDWhich function is best represented by the graph in the image?
Answer:
No image I cannot tell you
Step-by-step explanation:
Please help me solve the question...
Answer:
All of area is πr²
Step-by-step explanation:
and we should write the area kind of radian. So if all area is π*(12)²= 144π - this for 360°- and 240° is 96π
but we must add area of the triangle which has two same side and has 6 high so it's area is 6*12√3/2 = 36✓3
our answer is 96π+ 36✓3
What is the equation of the following graph?
Answer:
y=0.5x + 5
Step-by-step explanation:
The points are (0,5) and (-10,0)
to find the slope do
0-5/-10-0 = 5/10 = 1/2 = 0.5
next plug one of the points into point slope formula
y-y1=m(x-x1)
lets use the point (-10,0)
y1=0
x1= -10
m= 0.5
y-0=0.5(x- -10)
y = 0.5(x+10)
distribute the 0.5
y=0.5x+5
I need help ASAP PLEASEEE!
Answer:
The fourth number line is the answer.
Step-by-step explanation:
[tex] - 18 > - 5x + 2 \geqslant - 48 \\ ( - 18 - 2) > - 5x \geqslant ( - 48 - 2) \\ - 20 > - 5x \geqslant - 50 \\ \\ \frac{ - 20}{ - 5} > x \geqslant \frac{ - 50}{ - 5} \\ \\ 4 > x \geqslant 10[/tex]
Factorize p2-15q-5p+2pq
Hope it's help you!!!!!!
Which transformation maps the pre-image to the image?
dilation
reflection
rotation
translation
Answer:
Reflection
Step-by-step explanation:
Because reflecting yourself in a mirror means pre image to image
Answer:
Step-by-step explanation:
dilation
y = (4x+4)^1/2 at x=2
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Answer:
2√3 ≈ 3.4641016
Step-by-step explanation:
Put the value where the variable is and do the arithmetic.
(4x +4)^(1/2) at x=2 is ...
(4·2 +4)^(1/2) = 12^(1/2) = 2√3 ≈ 3.4641016
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Additional comment
If you really mean (4x+4)^1/2, then you have 12^1/2 = 12/2 = 6.
If the exponent is 1/2, it needs to be in parentheses.
what is the formula for lineal equetion
Answer:
y=mx+c
Step-by-step explanation:
A linear equation means the equation of straight line.
The formula for equation of straight line in slope intercept form is y=mx+c
where, m is the slope of line and c is the y intercept
The formula for equation of straight line in double intercept form is x/a+y/b=1
The formula for equation of straight line in normal form is xcos α + y cos α=p
There are more formulas bur assuming you are asking for the general representation of the straight-line equation, it is y=mx+c.
Answer:
[tex]\textbf{Linear Equations : y=mx+b}[/tex]
[tex]\textbf{m= slope}[/tex]
[tex]\textbf{b= y-intercept}[/tex]
[tex]\textbf{Example:-}[/tex] [tex]\textrm{y= 6x+8}[/tex]
[tex]slope(m)=6[/tex]
[tex]y-intercept=8[/tex]
[tex]\textbf{OAmalOHopeO}[/tex]
Sphere A has a radius of 24 centimeters, and sphere B has a diameter of 42 centimeters. The radius of sphere A is
multiplied by what factor to produce the radius of sphere B?
A.4/7
B.7/8
C.8/7
D.7/4
Answer:
B
Step-by-step explanation:
If the diameter of sphere B is 42, that means the radius is half, so it is 21.
The question is asking what multiplied by 24 is 21, or 21 divided by 24. 21/24 can be simplified to 7/8.
Solve the problem. A retired couple has $120,000 to invest to obtain annual income. They want some of it invested in safe Certificates of Deposit yielding 5%. The rest they want to invest in AA bonds yielding 12% per year. How much should they invest in each to realize exactly $11,600 per year? 1) $90,000 at 12% and $30,000 at 5% O2) $80,000 at 127. and $40,000 at 5% 3) $80,000 at 5% and $40,000 at 12% 4) $70,000 at 5% and $50,000 at 12%
ertificates 6.00% per annum ---x
AA bond 11.00% per annum ---y
x + 1 y= 160000 ------------------------1
6.00% x + 11.00% y= 15600
Multiply by 100
6 x + 11 y= 1560000.00 --------2
Multiply (1) by -6
we get
-6 x -6 y= -960000.00
Fill in the [?]: 82 micro liters= 8.2x10^[?] L
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Answer:
-5
Step-by-step explanation:
Micro is an SI prefix meaning 10^-6.
82×10^-6 = 8.2×10^-5
Your exponent is -5.
Word problems ! Please help
Answer:
19- 2(xy+yz+xz)
20- 16t(5-t)
Step-by-step explanation:
19) factor 2xy+2yz+2xz
2xy+2yz+2xz
=2(xy+yz+xz)
20) factor -16t^2 +80t
=80t-16t^2
=16(5t-t^2)
=16t(5-t)
Help me please…………………….
Answer:
8.7
Step-by-step explanation:
If you like my answer mark me brainliest
What are the solutions?
It's the third option.
Completing the square yields
x ² + 9x + 7 = 0
(x ² + 9x + 81/4) + 7 = 81/4
(x + 9/2)² + 7 = 81/4
Now solving for x gives
(x + 9/2)² = 53/4
x + 9/2 = ± √(53/4) = ± √53/2
x = (-9 ± √53)/2
Find the product of 2x cubed and x squared minus 5x minus 4. Problem number 23
Answer:
2x^5-10x^4-8x^3
Step-by-step explanation:
2x^3 ( x^2 - 5x-4)
Distribute
2x^3 * x^2 - 2x^3 -5x -2x^3 *4
2 x^(3+2) - 10 x^(3+1) - 8x^3
2x^5-10x^4-8x^3
The solution of the equation 2x - 7 = 3x - 12 is _____ Since it checks in the original equation, it is also a solution of
StartRoot 2x-7 EndRoot - StartRoot 3x - 12 EndRoot = 0.
Answer:
5
Step-by-step explanation:
2x-7=3x-12
2x-3x=-12+7
-x=-5
x=5
[tex] \sqrt{2x - 7} - \sqrt{3x - 12 } = 0 \\ \sqrt{10 - 7} - \sqrt{15 - 12} = 0 \\ \sqrt{3} - \sqrt{3} = 0[/tex]
Consider the formula for surface area, SA = (p: h) + 2B. The perimeter is
given in
the height in and area of the base in
A. in; in?; in
B. in2; in; in 2
C. in; in; in
O D. None of the above
The correct unit that matches the the perimeter, height and the area of the base is in, in, and in² respectively.
Given:
formula for surface area, SA = (P x h) + 2B
P is the the perimeter
h is the height
B is the area of the base
To find:
the corresponding units of the perimeter, height and the area of the base.
perimeter is measured in inches (in)height is measured in inches (in)area of the base is measured in inches square (in²)The correct unit that matches the the perimeter, height and the area of the base is in, in, and in² respectively.
Learn more here: https://brainly.com/question/3871993
What will be the value of median of a moderately asymmetrical distribution? If the mean and mode are 30 and 24 respectively.
The mean, the median and the mode are measures of central tendency, and they are related in some many ways, depending on the type of distribution.
The median of the moderately asymmetrical distribution is 26
The given parameters are:
[tex]Mean = 30[/tex]
[tex]Mode = 24[/tex]
For a moderately asymmetrical distribution, the mean, median and mode are related by the following equation:
[tex]Mode = 3 * Median - 2 * Mean[/tex]
Substitute known values
[tex]30= 3 * Median - 2 * 24[/tex]
[tex]30= 3 * Median - 48[/tex]
Collect like terms
[tex]3 * Median =30+ 48[/tex]
[tex]3 * Median =78[/tex]
Divide both sides by 3
[tex]Median =26[/tex]
Read more at:
https://brainly.com/question/15669207
what's the formula for sum of
geometric progression
Answer:
Hello,
Step-by-step explanation:
[tex]u_1\ is\ the \ first\ term\ of\ the\ gp\\q\ is \ the\ common\ ratio\\\\\\\boxed{u_n=u_1*\dfrac{q^n-1}{q-1} }[/tex]
Please help me with this
Answer:
6
Step-by-step explanation:
c(2)=(-9/2)*(-4/3)^(2-1)=(-9/2)*(-4/3)=6
The cost is 23$ when___coolers are produced
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Answer:
97
Step-by-step explanation:
We want to find x when C = 23.
23 = 0.005x^2 -0.35x +10
2600 = x^2 -70x . . . . . . subtract 10, multiply by 200
2600 +35^2 = (x -35)^2 . . . . complete the square
61.847 +35 = x . . . . . . . square root, add 35 (use the positive result only)
x ≈ 97 . . . . rounded to integer
The cost is $23 when 97 coolers are produced.
Change the word phrase to an algebraic expression. Use x as the variable to represent the number.
23 subtracted from a number
Answer:
x-23
Step-by-step explanation:
if the number is x then you want to take 23 away so you have x-23
In a 4 day period, a delivery person delivered the following number of
packages per day: 1150, 1200, 1900 and 1350. The average number of
packages he delivered per day was _?_
Answer: 1400 packages
Step-by-step explanation:
1150+1200+1900+1350 divided by the 4 day interval means and average of:
1400 packages per day
Find the surface area of the figure round your answer to the nearest tenth if necessary
Answer:
Step-by-step explanation:
S.A. = (6 + 8 + 10) × 4 + 2(8 × 6) ÷ 2 = 144 mi²
Which word describes the relationship of the points (3, 1)
and (3, 6)?
OA) collinear
OB) parallel
C) perpendicular
OD) coincident
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Answer:
A) collinear
Step-by-step explanation:
"Parallel" and "perpendicular" are descriptors of pairs of lines and planes. They do not apply to pairs of points.
The two points have different coordinates, so are distinct, rather than coincident.
Of these words, the only applicable choice is "collinear."
__
Additional comment
Any pair of distinct points is collinear. Two points define a line, and two points on the same line are collinear.
Which set of rational numbers is arranged from least to greatest?
Option 2
-3.5, -1/4, 1/3,2
Must click thanks and mark brainliest
Answer: Second option
-3.5 is less than -1/4 (1/4 = -0.25)
-1/4 is less than 1/3 (1/3 = 0.33)
1/3 is less than 2
Factorize the following:
cosB + 5cosB - 6
[tex]\\ \rm\Rrightarrow cosB+5cosB-6[/tex]
Add cos[tex]\\ \rm\Rrightarrow (1+5)cosB-6[/tex]
[tex]\\ \rm\Rrightarrow 6cosB-6[/tex]
Take 6 common[tex]\\ \rm\Rrightarrow 6(cosB-1)[/tex]
Answer:
6(cosB - 1)
BRAINLIEST, PLEASE!
Step-by-step explanation:
cosB + 5cosB - 6
6cosB - 6
6(cosB - 1)
