Simplify.
Multiply and remove all perfect squares from inside the square roots. Assume b is positive.
Answers
Answer:
216*b^2
Step-by-step explanation:
first, remember that:
a*√b = √(a^2*b)
√a*√b = √(a*b)
[tex]b^n*b^m = b^{n + m}[/tex]
[tex](b^n)^m = b^{n*m}[/tex]
Now, our expression is:
[tex]2*\sqrt{8*b^3} *9*\sqrt{18*b} = (2*9)*\sqrt{8*b^3}*\sqrt{18*b}[/tex]
Where in the right I rewrite the expression so it is easier to work.
Now we can use the second property of the above ones, to have:
[tex]18*\sqrt{8*b^3*18*b} = 18*\sqrt{(8*18)*b^{3 + 1}} = 18*\sqrt{144*b^4}[/tex]
And we know that:
[tex]\sqrt{x} = x^{1/2}[/tex]
Then:
[tex]18*\sqrt{144*b^4} = 18*(144*b^4)^{1/2} = 18*\sqrt{144}*(b^4)^{1/2}[/tex]
and 12*12 = 144, then:
[tex]18*\sqrt{144}*b^{4*1/2} = 18*12*b^2 = 216*b^2[/tex]
Related Questions
What is the mean? (I don’t pay attention in class).
Answers
What are the integer solutions to the inequality below? 3 < 3 x − 1 < 2 x + 6
Answers
Answer:
4/3<x<7
Step-by-step explanation:
Given the inequalities
3 < 3 x − 1 < 2 x + 6
Add 1 to all sides
3+1 < 3x-1+1<2x+6+1
4 < 3x < 2x + 7
Split
4 < 3x
3x > 4
x > 4/3
4/3 <x
Also
3x < 2x + 7
3x-2x < 7
x <7
Combine
4/3<x<7
Hence the required solution is 4/3<x<7
The cost of 3 loaves of bread and 3 gallons of milk is $19.35. The cost of 4
loaves of bread and 2 gallons of milk is $17.90. How much does one loaf
of bread cost?
Answers
Answer:
bread $2.5 milk $3.95
Step-by-step explanation:
b=bread m= milk
3b +3m = 19.35
4b+2m= 17.90
Multiply the first by (-2)
Multiply the second by 3
Then add both
-6b -6m = -38.7
12b+6m=53.7
(when you add both 6m is cancelled)
6b = 15
b= 2.5 (BREAD $2.5)
4(2.5) = 10
10+ 2m = 17.90
2m = 7.90
m= 3.95 (MILK $3.95)
On Sunday, a cafe sold 49 cartons of milk. The ratio of cartons of chocolate milk sold to the total number of cartons of milk sold was 2:7. How many cartons of chocolate milk did the cafe sell on Sunday?
Answers
Answer:
14
Step-by-step explanation:
49÷7=7
7×2=14
have a good day!
Using complete sentences, describe the error in the steps used to solve the equation. There will be no problems that don’t have an error.
“The error was made when.....”
Answers
7=x + 2x - 5 - 58
Show work please
Answers
Answer:
x= 23.33
Step-by-step explanation:
7=x+2x-5-58
combine like terms
7=3x-63
add 63 to both sides
70=3x
divide by 3
x=23.33
function h describes the height of a ball, in inches, after n bounces and is defined by the equation h(n)=120 x (4/5)^n.
What is h(3) ?
What does h(3) represent in this situation?
Answers
Answer:
Step-by-step explanation:
h(3) = 120*(4/5)^3, which evaluates to 120(64/125), or 61.64.
What does this mean: After 3 bounces the height of the ball is 61.64 ft.
Find the mean and median of the data. 8 1/2,6 5/8,3 1/8,5 3/4,6 5/8,5 1/4,10 5/8,4 1/2 The mean is . The median is .
Answers
Answer:
Median = 6.1875
Mean = 6.375
Step-by-step explanation:
Given the data:
8 1/2,6 5/8,3 1/8,5 3/4,6 5/8,5 1/4,10 5/8,4 1/2
Arranging in ascending order :
3 1/8, 4 1/2, 5 1/4, 5 3/4, 6 5/8, 6 5/8, 8 1/2, 10 5/8
Median = 1/2(n + 1)th term
n = 8
1/2 (9) th term
= 4.5th term
(5 3/4 + 6 5/8) / 2
= 6.1875
Mean = Σx / n
Mean = 51 / 8
Mean = 6.375
What is the slope of the line shown?
On a coordinate plane, a line goes through (0, negative 3) and (6, 0).
Answers
Answer:
1/2
Step-by-step explanation:
What is the next step
Answers
Answer:
ABC = 50 degree.
Step-by-step explanation:
You add the bisect angles together to get the whole angle (ABC)
(8x - 7)+(6x+1)
(8(4)-7)+(6(4)+1)
(32-7)+(24+1)
25+25 = 50
y (y+2)+1(y+2) simplify the product
Answers
So the answer is : y^2+3y+2
Answer:
[tex]y (y+2)+1(y+2)[/tex]
[tex](y +1)(y+2) = 0[/tex]
The phrase "miles per hour" is an example of a rate of change. What other commonly used rates of change can you think of in everyday speech?
I NEED SOMETHING DIFFERENT THAN SPEED PLEASE
Answers
Maybe fast or quick?
Write the positive or negative integer that this situation represents.
Lucy made a $12 profit.
Answers
Answer:
12
Step-by-step explanation:
A profit, or money you have, or money you deposit in a bank account is usually positive.
A debt, or money you withdraw from a bank account, or money you give away is usually negative.
Answer: 12
Mary received an $80 gift card for a coffee store. She used it in buying some coffee that cost $8.21 per pound. After buying the coffee she had $30.74 left on her card. How many pounds of coffee did she buy?
Answers
EXPLANATION:
80 - 8.21x= 30.74
-30.74
49.26 =8.21x
49.26/8.21
X= 6
How many unit cubes are needed to make the large cube?
Answers
Answer:
D. 64 should be the answer
Step-by-step explanation:
length x width x height
4 x 4 x 4
4^2
64
a-7=3 (b+2)
a=?
Please don't attach a link with the answer write you answer out please
Answers
Answer:a=3
Step-by-step explanation:
Answer:
a = 3b + 13
Step-by-step explanation:
a - 7 = 3 (b+2)
a - 7 = 3b + 6
a = 3b + 13
35.487 multiply by 10 to the forth power is?
Answers
Answer:
354870
Step-by-step explanation:
35.487 × [tex]10^{4}[/tex]
35.487 × 10000
354870
Find the volume of this right rectangular
prism.
3 in
9 in
. 3 in
[ ? ]in3
Answers
Answer 8.1
Step-by-step explanation:
3 x 9 x 0.3 = 8.1
Hunter is making $46,500 per year and gets a 5.5%
increase in pay. Determine how much money
Munter makes after his increase and show your
work
Answers
Answer:
$49,057.50
Step-by-step explanation:
To find how much a percent is of a number you multiply that number and that percent then add the two
SO.... 46,500x5.5% is 2557.50 and then you add the 2 so 46,500 + 2557.50= 49,057.50 hope this helps
Is this a polygon or trapezoid?
Answers
Answer:
No
Step-by-step explanation:
this is my opinion so No
Find the distance between the points (1,3) and (9,9).
Answers
Answer:
Step-by-step explanation:
14
will give brainliest to the correct answer (nor links or account will be reported) :)
Answers
Answer:
38, 26
Step-by-step explanation:
(x+78) + (x-12) +x = 180
3x + 66 =180
3x = 114
x = 38
P = 38-12=26
Please i need asp this is me ether failing or passing math!!!
Answers
Answer:
Step-by-step explanation:
A rectangle has a length of 3x^2y^3 inches and width of 4x^2y^3 inches . which expression represents the perimeter in inches of rectangle?
Answers
Answer:
44x²y³
Step-by-step explanation:
don't see options for answers but the perimeter would be:
2(3x²y³) + 2(4x²·2y³)
= 6x²·2y³ + 8x²·4y³
= 12x²y³ + 32x²y³
= 44x²y³
pls help me due today, i will give brainliest !!!
Answers
Answer:
c=38
Step-by-step explanation:
Substitute 6 for r and -2 for t in the formula given
c=rt^(2)-3t+8
c=6*(-2)^2-3*(-2)+8
c=6*4-3*-2+8
c=24+6+8
pls help!!! i don’t understand how to solve this
Answers
Answer:
Average velocity = 1
Step-by-step explanation:
f(3) = 3² - 3(3) + 4 = 4
f(1) = 1² - 3(1) + 4 = 2
[tex]Velocity = \frac{f(3) - f(1)}{3-1} =\frac{4-2}{3-1} =\frac{2}{2} =1[/tex]
help I dont get it and im stuck
Answers
Answer:
B) 20
Step-by-step explanation:
Don't think to hard about the answer, all the numbers and text can be distracting.
Look at only the length of both Rachel 12 and Amos 16
Now use the Pythagorean theorem to find the unknown side in this right triangle.
[tex]a^{2} +b^{2} =c^{2} \\12^{2} +16^{2} =c^{2}[/tex]
Answer:
20 km
Step-by-step explanation:
I used the Pothagarim Theorom.
First, Multiply 12 by 12 to get 144Then, multiply 16 by 16 to get 256.Next, add 144 to 256 to get 400.Find the square root of 400 and get 20.20 km would be your final answerHope this Helps!
-kiniwih426
Btw, pls brainliest(if possible)
Scientists calculate that the average temperature of the earth is increasing at a rate of 0.12 degrees a year. This situation can be modeled by what type of function?
Answers
Answer:
Step-by-step explanation:
Linear Function
Help please it would mean a lot! Thank youuu
Answers
Answer:
C
Step-by-step explanation:
By my math that should is definitely correct. your welcome
pleaseeeee helppppp!!!
Answers
Answer:
The answer should be 18.