Answer:
[tex]\sqrt{128a^{6}b^{13}} = 8 a^{3} b^{6} \sqrt{2b}[/tex]
Step-by-step explanation:
Given
[tex]\sqrt{128a^{6}b^{13}}[/tex]
Required
Solve
[tex]\sqrt{128a^{6}b^{13}}[/tex]
The expression can be split to:
[tex]\sqrt{128a^{6}b^{13}} = \sqrt{128} * \sqrt{a^{6}} * \sqrt{b^{13}}[/tex]
[tex]\sqrt{128a^{6}b^{13}} = \sqrt{64 * 2} * \sqrt{a^{6}} * \sqrt{b^{13}}[/tex]
[tex]\sqrt{128a^{6}b^{13}} = \sqrt{64} * \sqrt{2} * \sqrt{a^{6}} * \sqrt{b^{13}}[/tex]
[tex]\sqrt{128a^{6}b^{13}} = \sqrt{64} * \sqrt{2} * \sqrt{a^{6}} * \sqrt{b^{12 + 1}}[/tex]
[tex]\sqrt{128a^{6}b^{13}} = \sqrt{64} * \sqrt{2} * \sqrt{a^{6}} * \sqrt{b^{12}} * \sqrt{b}[/tex]
So, we have:
[tex]\sqrt{128a^{6}b^{13}} = 8 * \sqrt{2} * a^{6/2} * b^{12/2} * \sqrt{b}[/tex]
[tex]\sqrt{128a^{6}b^{13}} = 8 * \sqrt{2} * a^{3} * b^{6} * \sqrt{b}[/tex]
Rewrite as:
[tex]\sqrt{128a^{6}b^{13}} = 8 * a^{3} * b^{6}* \sqrt{2} * \sqrt{b}[/tex]
[tex]\sqrt{128a^{6}b^{13}} = 8 a^{3} b^{6}* \sqrt{2b}[/tex]
[tex]\sqrt{128a^{6}b^{13}} = 8 a^{3} b^{6} \sqrt{2b}[/tex]
Find the equation of the circle with center at (3, -2) and radius of 3.
Formula to help you get the answer:
(x - h)² + (y - k)² = r²
hope this helps!
URGENT PLEASE HELP !!!
Answer:
36
Step-by-step explanation:
AB=AC+BE
AB=10+26
AB=36
A line has a slope of -5 and includes the points (-1,r) and (-2,-2). What is the value of r?
Answer:
-7
Step-by-step explanation:
what would been the volume?
Answer:
960 cm²
Step-by-step explanation:
Volume = height x length x width
Volume = 16 x 12 x 10
Volume = 1920 cm²
Since this prism is half
Volume = 1/2 ( 1920)
Volume = 960 cm²
what is the value of the digit 8 in the number 78000? please no links
Answer:
The value of eight in the number 78000 is 8000.
Step-by-step explanation:
70,000+8,000=78,000
Who has walked closer to 1 mile than to 0 miles?
Answer: Mr. Nunez
Hope this helps :)
Can you Please help due in LESS THAN 1 MIN!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
35, 5
Step-by-step explanation:
-47 + 35 = -12
35/7 minutes = 5
PLEASE HELP! I WILL GIVE YOU BRAINLIEST
Answer:
A(-3,-4)
B(-1,-2)
C(-4,-1)
What is the slope of the line that passes through the points (-5, -7)(−5,−7) and (4, -1) (4,−1)
Answer:
2/3
Step-by-step explanation:
REmember that the slope of a line is y/x. To find this, we must use the formula:
y2-y1/x2-x1=y/x
So this is -1 - -7/4- -5. The -1 -- 7 is actually -1+7. This is 6, meaning y equals 6.
The x is 4 - - 5 is actually 4+5. This is 9, meaning x is equal to 9.
We can now write this as y/x. This would be 6/9.
Once we simplfy this, we get 2/3.
Answer:
2/3
Find the midpoint of the segment with endpoints of (1,-6) and (-3, 4) and
enter its coordinates as an ordered pair. If necessary, express coordinates as
fractions, using the slash mark ( / ) for the fraction bar.
Answer:
Mid point = (–1 , –1)
Step-by-step explanation:
From the question given above, the following data were obtained:
(1, –6)
(–3, 4)
x₁ = 1
x₂ = –3
y₁ = –6
y₂ = 4
Mid point = (X, Y)
X = (x₁ + x₂)/2
X = (1 + –3)/2
X = (1 – 3)/2
X = –2/2
X = –1
Y = (y₁ + y₂)/2
Y = (–6 + 4)/2
Y = –2/2
Y = –1
Mid point = (X, Y)
Mid point = (–1 , –1)
14.2 as a mixed number.
I need help on how to understand this, not just the answer. Please and thank you!
Answer:
14 1/5
Step-by-step explanation:
okay so first we will convert the decimal to fraction
14.2= 142/10= 71/5
now we convert improper fraction to mixed fraction:
71/5= long division method
14
5 |71
-5
21
20
1
quotient=14 remainder=1
now the remainder is gonna be as the numerator, the number which we divide the other number (5) would be denominator and the quotient is gonna be on the side
so...... 14 1/5
y = 4x + 8 when x = 3y
Answer:
-8/11
Step-by-step explanation:
what are you trying to isolate
fill in the blank. principal: $300 Rate: 3% Time: 4 years Interest Earned: ? New Balance: ?
Answer:
300x.03 all divided by 4
Step-by-step explanation:
A fair number cube and a spinner are used in a game. The faces of the number
cube are labeled 1 through 6. The spinner has an equal chance of landing on 1 of 5
colors: red, green, blue, yellow or black. What is the probability of a player rolling an
even number and then spinning green?
Answer:
1 /10
Step-by-step explanation:
Fair cube ; numbered (1 - 6)
Spinner ; (red, green, blue, yellow or black)
Even numbers = (2, 4, 6)
Probability of obtaining an even number on rollin g a fair cube :
Probability = required outcome / Total possible outcomes
P(even number) = 3 /6 = 1/2
P(green color on spinner) = 1 /5
P(even number and green color) = 1/2 * 1/5 = 1/10
In 1906, Colombia experienced an intense earthquake with a magnitude of 8.8 on the Richter scale. In 1995, Egypt experienced an earthquake that measured 7.3 on the Richter scale. Compare the intensities of the two earthquakes. Use a logarithmic model to solve. Round to the nearest whole number.
Answer:
The intensity of the 1906 earthquake was about 32 times the intensity of the 1995 earthquake.
Step-by-step explanation:
The earthquake with a magnitude of 8.8 is 178 times stronger than the earthquake that measured 7.3.
What is logarithm?A logarithm is the power to which a number must be raised in order to get some other number.
Given that, there are two earthquakes of magnitude 8.8 and 7.3
The energy released is given by:
[tex]log_{10} E = 4.4+1.5M[/tex]
For 8.8
E1 = 3.981071705534X10^17
For 7.3
E2 = 2.238721138568X10^15
E1/E2 = 3.981071705534X10^17/2.238721138568X10^15 ≈ 178
Hence, The earthquake with a magnitude of 8.8 is 178 times stronger than the earthquake that measured 7.3.
For more references on logarithm, click;
https://brainly.com/question/28346542
#SPJ2
find the volume of a rectangular prism with a base area of 13 ft.² and a height Of 7 feet
Answer: 91 ft
V = b x h
V = 13 x 7
V = 91
A circular mirror has a diameter of 12 inches. And a circular frame that is 3 inches wide surrounds the mirror. What is the combined area, in square inches, of the circular mirror and the frame? *
Answer:
254.5 in.^2
Step-by-step explanation:
diameter of mirror = 12 in.
radius of mirror = diameter/2 = 13 in. / 2 = 6 in.
frame width = 3 in.
radius if combined mirror and frame = 6 in. + 3 in. = 9 in.
A = (pi)(r^2)
A = 3.14159 * (9 in.)^2
A = 3.14159 * 81 in.^2
A = 254.5 in.^2
3
4× 20=
3 × 20
4 =
please help fast
Answer:
[tex]680, 612[/tex]
Step-by-step explanation:
[tex]34[/tex]×[tex]20=680[/tex]
[tex]3[/tex]×[tex]204=612[/tex]
PLEASE HELP !! ILL GIVE 40 POINTS ; PLUS BRAINLIEST !! DONT SKIP ANSWER.
Answer:
OPS and TSP,
QPS and PSR
Step-by-step explanation:
The alternate interior angles look like the picture provided below. Next time, don't clickbait with the wrong amount of points.
QPS is included but isn't one of the answers because they it's not a multiple choice question.
zoom in to see the numbers and rotate to see the green and yellow parts
The first one is less
Status
Recovery
ZABD and ZDBC are supplementary angles.
What is the measure of x?
X = [?]°
7D
110%
AK
B.
→C
Angles are not drawn to scale.
Enter
Answer:
jhbujnhjnv
Step-by-step explanation:
vnjhbjhbjmb
Answer:
x=70°
Step-by-step explanation:
x+110=180 linear pair
x=180-110=70
Finish the problem yourself :) What is the length of the c? 225 = c^2
Answer:
c= 15
Step-by-step explanation:
c^2 = 225
(square root both sides)
c= square root of 225
c= 15
PLEASE HELP! CHOOSE ONE OF THE ANSWER CHOICES AND SHOW YOUR WORK. Don’t put a link as the answer.
Answer:B 4
Step-by-step explanation:
its asking which given expression is equivalent to 48 IF you do the correct math you should end up with 4 hope i helped
Halla el MCM de 42 y 70.
Answer:
mcm= 210
Step-by-step explanation:
We decompose into its prime factors
42- 70 | 2
21 - 35 | 3
7 - 35 | 5
7 - 7 | 7
1 - 1
mcm= 210
Greetings!
5. Consider kite HIJK. If HK = 8 and HP = 5, find KP.
H
К.
Р
Answer:
Step-by-step explanation:
KP²+HP²=KH²
KP²+5²=8²
KP²=64-25=39
KP=√39
x - 75 = 200
whats the answer make sure to do a explanation
Answer:
275
Step-by-step explanation:
x- 75 = 200
add 75 to both sides of equation
x = 275
help me...............
Answer:
1. Hundredths
2. Thousandths
3. Tenths
How would you describe the tick marks on the number line between the tenths?
Answer:
millimeters....
Solve for x using
cross multiplication.
x =
3x
4
2x + 7
5
x = [?]
Answer:
1.8 + 0.75
Step-by-step explanation:
1.80
+0.75
= 2.55
I think. :)
The blank Freshmen Team scored a total of 78 points in a game against the blank(2). Blank made a total of 31 two-point and three-point baskets. How many two-point baskets did the blank make? How many three-point baskets did blank make?
Answer:5.3
Step-by-step explanation: you multiply 31 by 2 then you subtract the product of 31×2 from 78 then you divide that by three