We can seperate (3b³) into two different parts, the constant and the variable.
The constant (3) and the variable (b) can both be squared and multiplied to get the correct answer, so:
3² = 9
(b³)² = [tex]b^{6}[/tex]
So, [tex](3b^{3})^{2} = 9b^{6}[/tex]
7(square root 14) divided by (square root 7)
The question given above will require a good understanding of surd operation in order to arrive at the best answer. Thus, the answer to the question is:
[tex]\frac{7\sqrt{14} }{\sqrt{7}} = 7\sqrt{2}[/tex]
To solve this problem, we shall simply rationalise the denominator. This can be obtained as illustrated below:
[tex]\frac{7\sqrt{14}}{\sqrt{7}}\\\\Rationalise\\\\\frac{7\sqrt{14}}{\sqrt{7}} * \frac{\sqrt{7} }{\sqrt{7}}\\\\\frac{7\sqrt{14*7}}{\sqrt{7*7}}\\\\\frac{7\sqrt{98}}{\sqrt{49}}\\\\\frac{7\sqrt{98}}{7}\\\\\sqrt{98}\\\\\sqrt{98} = \sqrt{49*2} \\\sqrt{98} = \sqrt{49} * \sqrt{2} \\\sqrt{98} = 7\sqrt{2} \\\\Thus, \\\\\frac{7\sqrt{14}}{\sqrt{7}} = 7\sqrt{2}[/tex]
Therefore, from the calculations made above, the solution to the question is 7√2
Learn more: https://brainly.com/question/11225829
Linear relationship
Answer:
y=2x-1
Step-by-step explanation:
Consider two points, (-2,-5) and (-1,-3)
slope = ((-3)-(-5))/((-1)-(-2))=2/1=2
b=-5-(2)×(-2)=-1
putting it into y=mx+c,
y=2x-1
PLEASE HELP ASAP
Solve the inequality [tex]\sqrt[3]{x+4} \ \textgreater \ \sqrt[2]{-x}[/tex]
A) x < 2
B) x > 2
C) x > –2
D) x < –2
How is the next term in this sequence found?
−6, −4, −2, 0, 2
A)
A) Add 2 to the previous term.
B) Add −2 to the previous term.
C) Multiply the previous term by 2.
D) Multiply the previous term by −2.
Answer:
add 2 to every privious term
Step-by-step explanation:
-6+2=-4
-4+2=-2
-2+2=0
0+2=2
the number of boys and girls in a school are 480 and 576 respectively. express the ratio of the number of boys to that of girls
Answer:
boys : girl
5 : 6
Step-by-step explanation:
boys : girl
480: 576
Divide each side by 96
480/96 : 576/96
5 : 6
Boys = 576
Girl = 480
GCF of 576 and 480 is 96.Now , dividing both numbers by GCF.
[tex] \large\bf{\red{ \longrightarrow}} \tt \: \frac{ \cancel{480} \: ^{5} }{ \cancel{576} \: ^{6} } \\ [/tex]
[tex] \large\bf{\red{ \longrightarrow}} \tt \: \frac{5}{6} \\ [/tex]
⇛Hence , the ratio will be 5 : 6The sum of four
consecutive odd number is 8o. Find the number
Answer:
The sum of 4 consecutive odd number is 80
Let X be the first of these numbers
Then the next odd number is X+2
The third is X+4The fourth is X+6
All of these add up to 80
(X) + (X+2) + (X+4) + (X+6) = 80
Using the commutative and associative laws, let's transform this equation into
(X + X + X + X) + (2 + 4 + 6) = 804X + 12 = 80
Subtract 12 from both sides of the equation gives4X = 68
Divide both sides by 4 gives
X = 17
Going back to the original question:What are the 4 consecutive odd numbers: 17, 19, 21, 23Checking our answer:17 + 19 + 21 + 23 = 80 Correct!
helppppppppppppppppp pllllzzzzz
a
b
c
Answer:
b rectángulo de la referencia de los números que están por debajo de la construcción de un triángulo obtusangulo
If (x^2−1)/(x+1) = 3x + 5, then x + 3 =
(A) -3
(B) -2
(C) 0
(D) 2
(E) 4
596 is divisible by 2?
a.yes
b.no
Answer:
It's yes
Step-by-step explanation:
Answer:
yep
Step-by-step explanation:
number is even, so it can be evenly divided by 2. :)
Use the following conversions to answer the question.
60 seconds = 1 minute
60 minutes = 1 hour
24 hours = 1 day
How many minutes are there in a week?
A. 420
B. 1,400
C. 10,080
D. 604,800
Answer:
C. 10,080
Step-by-step explanation:
We can multiply to find how many minutes there are in 1 day.
24 * 60 = 1,440
Now, we can multiply that value by 7 to find out how many minutes there are in 1 week.
1,440 * 7 = 10,080
Best of Luck!
Which graph represents the given equation? y=3/2x^2+4x-2
Answer:
y=3/2x^2+4x-2
Hope it helps
Reflect the shape below across the line x = - 2 . Label the new coordinates.please help me.
Answer:
Step-by-step explanation:
Which of the following could represent the
interval (8,35)? Select two that apply.
A 8
B 8
C {x|8
D {x|8
E [8,35]
solve for x please help (show work)
Answer:
x=-2
Step-by-step explanation:
3x+8x - 3 = -25
Combine like terms
11x -3 = -25
Add 3 to each side
11x -3+3 = -25+3
11x = -22
Divide by 11
11x/11 = -22/11
x = -2
[tex]\large\bf{\pink{ \longrightarrow \: }} \tt \:3x \: + \: 8x \: - \: 3 \: = \: - 25[/tex]
[tex]\large\bf{\pink{ \longrightarrow \: }} \tt \:11x \: - \: 3 \: = \: - 25[/tex]
[tex]\large\bf{\pink{ \longrightarrow \: }} \tt \:11x \: = \: - 25 \: + \: 3[/tex]
[tex]\large\bf{\pink{ \longrightarrow \: }} \tt \:11x \: = \: - 22[/tex]
[tex]\large\bf{\pink{ \longrightarrow \: }} \tt \: x \: = \: {\cancel\frac{ {- 22} \:^{ - 2} }{11}} \\ [/tex]
[tex]\large\bf{\pink{ \longrightarrow \: }} \tt \:x \: = \: - 2[/tex]
2
7) through: (-3,0), slope
3
Answer:
Step-by-step explanation:
Point-slope equation for line of slope m that passes through (x₀, y₀):
y-y₀ = m(x-x₀)
Slope =3 and (x₀, y₀)=(-3,0)
y = 3(x+3)
y = 3x+ 9
:::::
Slope-intercept equation for line of slope m and y-intercept b:
y = mx+b
m=1 and b= -4:
y = x-4
will give someone a brainlyest pls help! thank you
Answer:
D.
Step-by-step explanation:
5/4=1.25, -2[tex]\sqrt{2}[/tex] = -2.828
Therefore,
1.25 (5/4), 1.04, -0.34, -2.828 (-2[tex]\sqrt{2}[/tex]), -17
11z/(z+3) = 13 - i , z∈C please solve it
[tex]\frac{11z}{z+3}=13-i,z\in\mathbb{C}[/tex]
First, multiply both sides by [tex]z+3[/tex],
[tex]11z=(13-i)(z+3)[/tex]
[tex]13z+39-iz-3i=11z[/tex]
Collect terms and put z on the left,
[tex]2z-iz=3i-39[/tex]
[tex]z(2-i)=3i-39[/tex]
[tex]z=\frac{3i-39}{2-i}[/tex]
Division of complex numbers is defined by multiplying both denominator and numerator with complex conjugate of the denominator,
[tex]z=3\frac{(i-13)(2+i)}{(2-i)(2+i)}[/tex]
Multiply out,
[tex]z=3\frac{2i-1-26-13i}{5}[/tex]
[tex]z=3\frac{-11i-27}{5}[/tex]
The result is,
[tex]z=-\frac{81}{5}-\frac{33}{5}i[/tex]
Hope this helps :)
A ball thrown upwards hits a roof and returns back to the ground.
The upward movement is modeled by a function [tex]s=-t^2+3t+4[/tex]
s= −(t^2)+3t+4
and the downward movement is modeled by [tex]s=-t^2+3t+4[/tex]
s= −2(t^2)+t+7, where s is the distance (in metres) from the ground and t is the time in seconds.
Find the height of the roof from the ground.
Answer: 6 m
A ball thrown upwards from the altitude 4 m,
hits a roof and returns back to the ground.
upward movement: s= −t²+3t+4
downward movement: s=-2t²+t+7
Step-by-step explanation:
Let's calculate the intersection:
[tex]- t^2+3t+4 =-2t^2+t+7\\\\t^2+2t-3=0\\\\t^2+3t-t-3=0\\\\t(t+3)-(t+3)=0\\\\(t+3)(t-1)=0\\\\t=-3 \ (exclude)\ or\ t=1\\\\if\ t=1 \ then\ s=-1^2+3*1+4=6\\\\height\ is\ 6\ m.\\[/tex]
Sorry, i have forgotten the picture.
The products of (2,3) and (-2,-3) is
Answer:
(-4,-9)
Step-by-step explanation:
multiply (a,b)
simplify by factorization process 35²-15²
Answer:
1000
Step-by-step explanation:
35^2: 1225
15^2: 225
1225 - 225
2 men can build a wall in 10 days. in how many days will 8 men build the wall?
Step-by-step explanation:
8 men can do 60 man days of work by dividing 60 man days by the 8 men, which gives us 60/8 = 7 1/2 da
A driveway is 2/5 kilometers long. Omar walks 1/3 of the driveway. How far does Omar walk?
Answer:
2/15 kilometers
Step-by-step explanation:
Multiply the distance by the fraction walked
2/5 kilometers * 1/3
2/5 * 1/3
2/15 kilometers
You are going to decorate one wall of your bedroom by putting a border along the top. The wall is a square wall with an area of 256 square feet what is the length of the border that you will need for your wall?
Answer:
16 ft
Step-by-step explanation:
Each edge of wall = √256 ft = 16 ft
Solve the formula for the given variable.
-2x - 6 = 4x
Please helppp
Answer:
s snsnnssjsjjsnsnsjs
es 17 es
ZA and ZB are complementary angles. If m A = (8x + 27)° and m
ZB = (6x – 21)°, then find the measure of ZB.
Answer:
15
Step-by-step explanation:
Complementary angles add to 90 degrees
8x+27 + 6x-21 = 90
Combine like terms
14x+6 = 90
Subtract 6 from each side
14x+6-6 = 90-6
14x = 84
Divide by 14
14x/14 = 84/14
x=6
We want angle B
B = 6x-21 = 6*6-21 =36-21 = 15
Hey can anyone help me solve this
Answer:
24
Step-by-step explanation:
Answer and Step-by-step explanation:
I think the answer is 48.
We should add the 12 and 4, then multiply by 3. The 16 times 3 is to get the original amount of candies. To check, we go through the process using the number 48.
48 times 1/3 is 16. 4 of them are given to the brother, which leaves us with 12 remaining candies.
#teamtrees #PAW (Plant And Water)
Fifty three million, eight hundred thousand and thirteen
Answer:
53,800,013
need brainliest!!!
3. Ms. Mason bought 24 bags of chips for $0.52 each. What was the total cost of
the pencils before sales tax was added? Show your work!
Answer:
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How do we solve this? Please help?
Answer:
f'(1) = 7/2
Step-by-step explanation:
We are given the function: [tex]f'(x)=\frac{7}{2\sqrt{x} }[/tex]
To find f'(1), substitute the value for x and evaluate it.
[tex]f'(1)=\frac{7}{2\sqrt{1} }\\\\f'(1)=\frac{7}{2(1)}\\\\f'(1)=\frac{7}{2}[/tex]
Therefore, f'(1) = 7/2.
Circled one please help
Formula-
If a set has “n” elements, then the number of subset of the given set is 2n and the number of proper subsets of the given subset is given by 2n-1. Consider an example, If set A has the elements, A = {a, b}, then the proper subset of the given subset are { }, {a}, and {b}
Symbol that can be used-
The symbol "⊆" means "is a subset of". The symbol "⊂" means "is a proper subset of".
Hope it helps you... pls mark brainliest if it helped you.
