Answers
By simplifying [tex]\sqrt{75a^{8}b^{5} }[/tex], we get 5[tex]a^{4} b^{2}[/tex][tex]\sqrt{3b}[/tex].
What is square root?
A number can be obtained by multiplying the square root of that integer by itself. The word "square root" is represented by the symbol "sqrt"—square root of, end square root. The opposite of squaring an integer is finding its square root.
How to find square root?
Factoring by squares: Find the factorsSeparate the factors into their own square rootsSolve for the individual squaresFinish solving the equationLong-form factoring:Find the factorsPull duplicate factors outSolve the remaining equationLong division method:Separate your square root base into pairsFind the largest square that divides into the first number or pairSubtract the square from the first number or pairDrop down the next pairMultiply the first digit of the square by twoSet up the next factor equationFind the number that fills the blanksPut the number next to the first digit[tex]\sqrt{75a^{8}b^{5} } =\sqrt{25*3*a^{4}*a^{4}* b^{2} *b^{2}*b }[/tex]
=[tex]\sqrt{5*5*3*a^{2}*a^{2}*a^{2}*a^{2}*b^{2}*b^{2}*b }[/tex]
=5×a×a×a×a×b×b[tex]\sqrt{3*b}[/tex]
=5[tex]a^{4}b^{2}[/tex][tex]\sqrt{3b}[/tex]
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Related Questions
The following data table represents the total cost of a monthly cell phone bill as a function of the number of minutes that the phone is used each month.
The table shows that as more minutes are used each month, the total monthly cost will increase at the same rate. Assuming that this is true, what is the total monthly cost for the cell phone if it is used for 2,500 minutes?
Answers
The total monthly cost would be $214
explanation:
They gave us 1,250, which is half of 2,500. multiplication:
1,250 = 2,500
107 = x
2 × 1,250 = 2,500
2 × 107 = 214
Therefore, the total monthly cost if the cell phone is used for 2,500 minutes is $214.
A local drive-in theatre sells entrance tickets for cars on weekend nights. At capacity, the drive-in can hold 72 cars. The function C(n) =25n represents the drive in's revenue on a weekend night, where n represents the number of cars. in this situation, what is the domain of c(n)?
Answers
Answer:
Domain is: 0 ≤ n ≤ 75 where n is an integer
Step-by-step explanation:
Write an expression showing the sum of a number H and a number W minus 11
Answers
Answer:
h+w-11
Step-by-step explanation:
Answer:
H+W-11
Step-by-step explanation:
Suppose 80 out of 400 cat owners surveyed said their cats have bad breath. What percent of the cat owners is this?
Answers
Please help me with this question!
Answers
Answer:
9 plates and mugs
He could buy 9.375
but you cant buy a portion of a plate so you buy 9
May someone please help me with this:)
Answers
Answer:
i think its 64
Step-by-step explanation:
Radius =2.
Height =4.
Pi=3.14.
V= 3.14(2)2(4).
Volume = 50 .24 cm^2
PLEASE ANSWER!!!
A. 4x+2=70+35
B. 4x+72=180
C.180=4x+107
D. 180=109x+2
Answers
Answer:
c
Step-by-step explanation:
its c , absolutely.............
Answer:
C * 180 = 4x + 107
Step-by-step explanation:If you add all sides by each other all you would do next is add the 4x to get your 180
GIVING BRAINLIEST
Study the function below and then answer the
questions that follow.
f(x)=
-x-2 x<-2 -x^2 -2=0
Answers
Answer:
Step-by-step explanation:
Answer:
B then A
Step-by-step explanation:
Domain is B, range is A.
In this problem a,b,c and d are nonzero integers. If a/b is added to x, the sum is c/d. Which statement can be used to prove that x must be a rational number.
A= x=cb-ad/bd B= x=cb+ad/bd C= x=c-a/d-b D= x= c+a/d-b
Answers
Answer:
x=cb-ad/bd
Step-by-step explanation:
The statement which can be used to prove that x must be a rational number is x = (cb - ad) / bd
Prove of rational numberGiven nonzero integers:
a, b, c, d
If a/b is added to xa/b + x
the sum is c/da/b + x = c/d
prove x to be a rational number
a/b + x = c/d
subtract a/b from both sidesa/b + x - a/b = c/d - a/b
x = c/d - a/b
x = (cb - ad) / bd
Therefore, the statement which can be used to prove that x must be a rational number is x = (cb - ad) / bd
Learn more about rational number:
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Find the value of x.
Assume that segments that appear to be tangent are tangent.
Answers
In circle P shown, the measure of angle P Q S is 20°.
Answers
Answer:
D 70
Step-by-step explanation:
Hello there!
A triangle formed inside of a circle using the diameter ( segment RQ ) is a right triangle
Meaning that the angle across from the hypotenuse ( diameter ) is a right angle ( = 90 degrees )
That being said we are given two angles (90 and 20 ) so we can easily calculate the measure of the missing angle
Remember the sum of the angles in a triangle is equal to 180 so we can find the missing angles by subtracting the given angles ( 90 and 20 in this case ) from 180
angle PRS = 180 - 90 - 20
180 - 90 = 90
90 - 20 = 70
Therefore your answer is D. 70
The two triangles below are similar. What is the similarity ratio of AABC to ADEF?
Answers
Answer:
2 : 1
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
AC : DF = 8 : 4 = 2 : 1
(2r^2t ^3)^2
4t^2
explain what you would do first to simplify the expression below.
Answers
Answer:
first expand the brackets
If the rectangular screen of a 40-inch monitor is 35 inches wide, what is the height of the monitor? Round to the nearest tenth.
Answers
Answer:
19.4
Step-by-step explanation:
We can solve this question using Pythagorean theorem
40^2 = h^2 + 35^2
1600= h^2+ 1225
1600-1225= h^2
375= h^2
h= √375
h = 19.4
Hence the height is 19.4
Write 2 19/20as a decimal.
20
X
Answers
Answer:
2.95
Step-by-step explanation:
edge 2020
p.s. pls mark brainliest, and have a good day! :)
pls help me with this!
show this standard form equation in a graph
5x+y=-2
Answers
Answer:
Step-by-step explanation:
One way to do this is to find the x- and y-intercepts and to plot these:
x-intercept: Let y = 0: 5x = -2, or x = -2/5, so the x-intercept is (-2/5, 0). Plot this point.
y -intercept: Let x = 0: y = -2, so the y-intercept is (0, -2). Plot this point.
Finally, draw a line through these two points.
Luke and isabella make scale drawings.The scale from isabella's drawing is 6 m to 3 cm. The height of the fountain in isabella's drawing is 5 cm.The scale from the fountain to luke's drawing is 5m to 2cm. What is the height of the fountain in luke's drawing
Answers
Answer:
The answer is "[tex]2.5 \ cm[/tex]"
Step-by-step explanation:
While Luke is 5m to 2cm in size, it implies that every 2cm to Luke's drawing is 5m in real life. That real pond width must therefore be 5 m, given the fountain's width is 2 cm. As shown in the illustration, the step size for IsabelLa from the illustration to real life is [tex]\frac{6}{3} =2[/tex], which makes it simple to multiply any measure in the cm of her illustration by 2 to accomplish the exact size in m. So, in another direction around, they just have to divide the value by 2, instead of the divide from reality for drawing. So if the actual worth is 5m, it ought to be [tex]\frac{5}{2} = 2.5 \ cm[/tex] in its width.
please help, no links, will give brainiest
Answers
Answer:
? = 20
Step-by-step explanation:
Since the figures are similar then the ratio of corresponding sides are equal, that is
[tex]\frac{12}{15}[/tex] = [tex]\frac{?}{25}[/tex] ( cross- multiply )
15 ? = 300 ( divide both sides by 15 )
? = 20
Just the first four please 5th grade mathematics
Answers
Question 1. <, >, >
Question 2. <, <, >
Question 3. >
Question 4. <
I hope this helps :)
If this is right please give me a like, if I’m wrong please tell me in the comments
What is the equation of the line that passes through the point (4, 6) and is parallel to the line 2y - 4x = 1?
Select one:
O A. y = - 2x - 2
O B. y = 2x + 2
O C. y = x - 2
O D. y = 2x - 2
Answers
Answer:
D. y = 2x - 2
Step-by-step explanation:
1) First, find the slope of the given line. Place it in slope-intercept form to identify its slope easily. Isolate the y in the equation:
[tex]2y-4x = 1\\2y = 4x+1\\y = 2x+\frac{1}{2}[/tex]
A line placed in slope-intercept form is represented by the formula [tex]y = mx + b[/tex]. The [tex]m[/tex], or the coefficient of the x-term, represents the slope. Thus, the slope of this line is 2.
2) Lines that are parallel share the same slope. So, the slope of the parallel line will have 2 as its slope as well.
We now have enough information to write the equation of the line in point-slope form. From there, we can convert it to slope-intercept form and find out which option is correct.
Use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] and substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex]. Since [tex]m[/tex] represents the slope of the line, substitute 2 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, substitute the x and y values of (4,6) into the formula as well. Then, with the resulting equation, isolate y like before to find which option is correct:
[tex]y-6 = 2(x-4)\\y-6 = 2x-8\\y = 2x-2[/tex]
So, option D is correct.
2. What is the value of x?
Answers
Answer:
x = 5
Step-by-step explanation:
The total degrees in a 4 sided polygon is 360°
360° = 51° + 51° + 2(28x - 11°)
56x - 22° + 51° + 51° = 360°
56x = 280°
x = 5
What is the difference of (3/4x - 2/3) - (-5/6 + 2x) ?
-5/4x + 1/6
-5/4x - 1/6
-11/4x + 1/6
-11/4x - 1/6
Answers
Answer:
first option is correct
look at given picture
can i get some help please i would really appreciate it ;)
Answers
questions 13 & 14 FAST PLS ITS A TEST! WILL GIVE BRAINLIEST!
Answers
14: answer is x= 1/3, x= 2
Solve for x in the picture below
Answers
Answer:
x = 16
Step-by-step explanation:
The sum of the exterior angles of a triangle = 360°
Sum the exterior angles and equate to 360
5x + 12 + 10x - 37 + 9x + 1 = 360 , that is
24x - 24 = 360 ( add 24 to both sides )
24x = 384 ( divide both sides by 24 )
x = 16
Answer:
x = 15
Step-by-step explanation:
The sum of angles in a triangle is 180deg.
Let's mark the measures of the internal angles as A, B and C.
We know that
A + B + C = 180deg
180deg - A + 180deg - B + 180deg - C = (9x + 1)deg + (5x + 12)deg + (10x - 37)deg
3*180deg - (A + B + C) = (24x - 24)deg
540deg - 180deg = (24x - 24)deg
360deg = (24x - 24)deg
360 = 24x - 24
384 = 24x
15 = x
Supplementary angles always add up to 180 degrees. TRUE OR FALSE
Answers
Answer:
yes this is true.
Supplementary angles always add up to 180°.
Answer:
True
Supplementary angles always add up to 180°
Ursula picks carrots and radishes from her garden. She picks 4/1/4 pounds of carrots and 1/3/4 pounds of radishes.How many more pounds of carrots does she pick than radishes.
Answers
Answer:
2 1/4
Step-by-step explanation:
[tex]4\frac{1}{4} - 1\frac{3}{4}[/tex]
[tex]3\frac{1 - 3}{4}[/tex]
[tex]2\frac{4-3}{4}[/tex] = 21/4
What is the range of possible values for x?
Answers
Answer:
Choice A) 0 < x < 18
Step-by-step explanation:
10x = 6x + 20
subtract
4x = 20
solve for x
x = 5
Well there are 5 questions
Please help
Will give brainliest
Answers
Answer:
1. 30
2. x = 0
3. x = 10
4. 11.7
5. 60
Step-by-step explanation:
HELP FAST giving 5 stars
Answers
Answer:
The red is 1/3 and yellow is 1/4
Step-by-step explanation:
there are 3 colors and 1 of them is red so 1/3 same goes to the yellow 4 colors and is 1 yellow so 1/4