Step-by-step explanation:
sqrt(12×a³b⁵) × sqrt(6×ab²)
the content of multiplied square roots can be combined into one square root :
sqrt(12×6×a³×a×b⁵×b²) = sqrt( 72a⁴b⁷) =
= sqrt(4×9×2 × a⁴ ×b⁶×b) = 2×3×a²×b³×sqrt(2b) =
= 6a²b³×sqrt(2b)
Can someone plz help with 21?? Thanks!
Answer:
4) -11.3...
Step-by-step explanation:
distribute both sides to get (1/6)x - (4/3) = (4/15)x - (1/5)
move the variables to one side and the constants to the other: ((4/15) - (1/6))x = (-(4/3) + (1/5))
simplify to get (1/10)x = (-17/15) multiply everything by 10 to get x=-34/3 or -11.33333333333333333...
Answer:
option 4
Step-by-step explanation:
[tex]\frac{2}{3}[/tex] ([tex]\frac{1}{4}[/tex] x - 2) = [tex]\frac{1}{5}[/tex] ([tex]\frac{4}{3}[/tex] x - 1) ← distribute parenthesis on both sides
[tex]\frac{1}{6}[/tex] x - [tex]\frac{4}{3}[/tex] = [tex]\frac{4}{15}[/tex] x - [tex]\frac{1}{5}[/tex]
Multiply through by 30, the LCM of 6, 3, 15, 5
5x - 40 = 8x - 6 ( subtract 8x from both sides )
- 3x - 40 = - 6 ( add 40 to both sides )
- 3x = 34 ( divide both sides by - 3 )
x = - [tex]\frac{34}{3}[/tex] = - 11.333..
Solve for P 2(p-10)= 14
Hi,
2(p-10) = 14
2p - 20 = 14
2p - 20 + 20 = 14 + 20
2p = 34
2p/2 = 34/2
p = 17
✅(•‿•)
2(4w+7)=62
Whats the answer how do I do it?
[tex]2(4w + 7) = 62[/tex]
Divide both sides by 2
[tex] \frac{2(4w + 7)}{2} = \frac{62}{2} \\ [/tex]
[tex]4w + 7 = 31[/tex]
Subtract both sides 7
[tex]4w + 7 - 7 = 31 - 7[/tex]
[tex]4w = 24[/tex]
Divide both sides by 4
[tex] \frac{4w}{4} = \frac{24}{4} \\ [/tex]
[tex]w = 6[/tex]
Answer:
w=6
Step-by-step explanation:
Step 1 : Simplifying
2(4w + 7) = 62
Step 2 : Recorder the terms :
2(7 + 4w) = 62
(7 * 2 + 4w * 2) = 62
(14 + 8w) = 62
Solving-
14 + 8w = 62
Solving for the variable 'w'
Move all terms containing w to the left side, all other terms to the right.
Add '- 14' to each side of the equation.
14 + - 14 + 8w = 62 + - 14
Combine like terms: 14 + - 14 = 0
0 + 8w = 62 + - 14
Combine like terms: 62 + - 14 = 48
8w = 48
Divide each side by '8'
W = 6
Simplifying
W = 6
How is the graph of y = log (x) transformed to produce the graph of y = log (2 x) + 3?
It is stretched horizontally by a factor of 2 and translated up 3 units.
It is compressed horizontally by a factor of 2 and translated up 3 units.
It is stretched vertically by a factor of 2 and translated up 3 units.
It is compressed vertically by a factor of 2 and translated up 3 units.
Transformation involves changing the form of a function
The true statement is (a) it is stretched horizontally by a factor of 2 and translated up, 3 units.
The function is given as:
[tex]y = \log(x)[/tex]
Start by stretching the graph of [tex]y = \log(x)[/tex], horizontally by a factor of 2.
So, we have:
[tex]y = \log(2 \times x)[/tex]
[tex]y = \log(2x)[/tex]
Next, shift the function up by 3 units.
So, we have:
[tex]y = \log(2x) + 3[/tex]
Hence, the true statement is (a)
Read more about transformations at:
https://brainly.com/question/12619643
Answer:
its b on edge
Step-by-step explanation:
someone help me please
Answer:
8
Step-by-step explanation:
Basically insert 18 where the X is and go from there!
2/3 (18) - 4
2/3 × 18 = 12
12 - 4 = 8
Which event is important enough to include in a summary of this
story? Add the event to the chart.
D Event
Event
Event
Hester gives Ms.
Walker the letter
explaining her idea.
Ms. Walker agrees
to consider
Hester's idea.
?
Hester repeats a
*) phrase in her mind
over and over.
D
Hester packs up
her things when
the bell rings.
D
Hester returns to
her desk to read
her book.
Hester learns
about another way
to boost her grade.
When making a summary, it is important to read and understand the text which you are writing.
What is a Summary?This refers to the concise representation of the main points of a literary text without the use of bias.
Hence,w we can see that because the question is incomplete, you would need a general overview to understand it, so it would be best if you:
Read the given textUnderstand the plot and characterizationFollow the Rising Action, Climax, and Falling ActionList out the main pointsThen, join them in order of occurrence.Read more about summary here:
https://brainly.com/question/25605883
#SPJ2
Explain what similarity means in terms of congruence and proportionality.
Answer: Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size.
Step-by-step explanation: pls give brainlist
How many weeks will Sanjay need to ride his bike to work in order to ride 150 kilometers?
Answer:
This is because he rides 37.5 k/m every week. Multiply that by four and you get 150
Answer:
Sanjay will need to ride his bike to work for 4 weeks in order to ride 150 kilometers.
There are 120 people in a school canteen.
Half of the people in the canteen are in year 11 students.
The number of year 11 students in the canteen is three times the number of year 10 students.
The rest of the people in the canteen are year 9 students.
the number of year 9 students : the number of year 10 students = n : 1
Work out the value of n.
You must show how you get your answer.
2:1
Step-by-step explanation:
List all variables
Total people=120
year 11 students=120/2=60
year 10 students=60/3=20
subtract year 10 and 11 students from the total to get the number of year 9 students
year 9 students=120-60-20
=40
year9:year10
40:20
2:1
Value of variable 'n' as per the given condition number of 9 year students : number of 10 year students = n:1 is equals to 2.
What is variable?" A variable is defined as the quantity which represents the change in value as per the given condition in a mathematical problem."
According to the question,
Total number of students in school = 120
As per the conditions given we have,
Number of 11 year students = [tex]\frac{120}{2}[/tex]
= 60 people
Number of 11year students = 3 × ( Number of 10 year students)
⇒Number of 10 year students = [tex]\frac{Number of 11 year students}{3}[/tex]
= [tex]\frac{60}{3}[/tex]
= 20 people
Number of (11year + 10year + 9year ) students = 120
⇒ 60 + 20 + Number of 9 year students =120
⇒Number of 9 year students = 120 - 80
= 40 people
Substitute the value in the given condition to get the value of the variable we get,
Number of 9 year students : Number of 10 year students = n:1
⇒40 : 20 = n: 1
⇒n = 2
Hence, value of variable 'n' as per the given condition number of 9 year students : number of 10 year students = n:1 is equals to 2.
Learn more about variable here
https://brainly.com/question/15078630
#SPJ2
If f(x) = 4x − 1 and g(x) = −3x + 2 (a) Find ℎ(x) = f(x) + g(x)
Answer:
x+1
Step-by-step explanation:
4x - 1 + (-3x) + 2 = x + 1
I need help. what is the slope?
(The bottom one says : (-1, -6)
Peyton knows that 1/8 means “1 divided by 8.” She uses this to find the decimal equivalent for 1/8
Answer:
Peyton can multiply 1 by 100, to make 100 over 8, and divide 100 by 8 which is 12.5 then dividing by 100 to get .125 which is equal to 1/8
Step-by-step explanation:
Answer: I am assuming the question is asking if Peyton got the decimal equivalent of 1/8 correct. Well, since the question is incomplete, I do not know what Peyton got, however, I can tell you that the decimal equivalent for 1/8 is 0.125
what's 0.084507042 rounded
Answer:
i belive by rounding you get 1
Step-by-step explanation:
Find the
17th
term of the arithmetic sequence whose common difference is d=5 and whose first term is a1 = 1.
The [tex]17th[/tex] term of the arithmetic sequence is [tex]81[/tex]
An arithmetic sequence is a sequence of numbers produced by adding a fixed number, called the common difference, to a term in the sequence to get the next term of the sequence.
The formula for calculating the [tex]nth[/tex] term of a sequence is
[tex]a_n=a_1+(n-1)d[/tex]
where
[tex]a_n=\text{the nth term}\\a_1=\text{the first term}\\d=\text{the common difference}[/tex]
from the question
[tex]n=17\\d=5\\a_1=1[/tex]
from this information, we can calculate the [tex]17th[/tex] term of the sequence thus
[tex]a_n=a_1+(n-1)d\\a_{17}=1+(17-1)\times5\\=81[/tex]
so, [tex]a_n=81[/tex]
Learn more about arithmetic sequences here: https://brainly.com/question/16130064
What is the greatest common factor of 31 and 45?
The Answer is 15,good look!
Greatest Common Factor of 31 and 45 is :
(i) 1Ben worked 5 hours at x dollars per hour. Julie worked 8 hours
and earned twice as much as Ben per hour. Phil worked 10
hours and earned 4 dollars an hour less than Julie. Choose the
expression that is correctly simplified and best represents
their total wages.
A. 31x - 4
B. 31x – 40
C. 41x - 10
D. 41x -40
Triangle XYZ is shown on the coordinate plane below:
Answer:
(4, -3)
Step-by-step explanation:
X is 4 units away from y=1, so 4 units further away is -3. The Y value of the point stays the same.
Solve for x
2x+5=33
Answer: x=14
hopes this helps
Answer: your anwser is 19
Step-by-step explanation:
Add 55 to both sides.
2x=33+5
2x=33+5
2 Simplify 33+533+5 to 3838.
2x=38
2x=38
3 Divide both sides by 22.
x=\frac{38}{2}
x=
2
38
4 Simplify
2
38
to 1919.
x=19
x=19
please mark brainliest
Find the length of side Y (this is from the geometry for enjoyment and challenge textbook) PLEASE ANSWER ASAP IT'S DUE TOMORROW!!!
Answer:
y= 3
Step-by-step explanation:
The triangle on the left is a right triangle, so we can use trig functions to solve for the missing side, y.
First, find the length of the side that both triangles are connected to.
tan30=x/9
Isolate the x variable and solve.
9(tan30)=x
x= 5.19615
Now use the Pythagorean Theorem to solve for the side length, y.
a^2+ b^2 = c^2
(5.19615)^2+ b^2= 6^2
c= 3
How many solutions exist for the system of equations in the graph?
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
The airplane is 12 ft long.
Step-by-step explanation:
If one inch is 2 feet in real life, if there are six inches, that means there are 12 feet because it is a one to two ratio. :)
Answer:
12 ft
Step-by-step explanation:
Find the EXACT distance between the two points.
(5,−4) and (3,5)
Answer:
√85
Step-by-step explanation:
The distance formula is used for this purpose.
d = √((x2 -x1)² +(y2 -y1)²)
d = √((3 -5)² +(5 -(-4))²) = √((-2)² +9²) = √(4 +81)
d = √85 . . . . the distance between the two points
What is the slope of the line through (6,0) and (7,1)
[tex]\huge \bf༆ Answer ༄[/tex]
Let's find the slope of line passing through given points ~
[tex] \sf \dfrac{y2 - y}{x2 - x1} [/tex][tex] \sf \dfrac{1 - 0}{7 - 6} [/tex][tex] \sf \dfrac{1}{1} [/tex][tex] \sf1[/tex]Hence, slope of the line will be 1.
Answer:
1
Step-by-step explanation:
slope = (change in y)/(change in x)
slope = (1 - 0)/(7 - 6)
slope = 1/1 = 1
Answer: 1
help pl pls pls pls pls
Answer:
they are both a function
Step-by-step explanation:
because i did this back in 8th grade
100 people planned to run to raise funds for a charity. Twenty percent of them ran 3 miles, two-fifth ran 6 miles, and the rest ran 9 miles. For every mile run, they raised $20. What was the total amount raised for the charity?
Answer:
$13,200
Step-by-step explanation:
20*3=60*20=1200
40*6=240*20=4800
40*9=360*20=7200
1200+4800+7200=13200
ANSWER:
360
Step-by-step explanation:
A
=
h
(
x
+
10
)
2
A
=
27
h
=
4
Work out the value of
x
.
Answer:
Step-by-step explanation:
A= h(x + 10)^2
27 = 4(x + 10)^2
(x + 10)^2 = 27/4
x + 10 = √27/2
x + 10 = 3√3/2
x = 3√3/2 - 10
= -7.40 to nearest hundredth.
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
15
Step-by-step explanation:
7.5*2
Answer:
15 ft
Step-by-step explanation:
1 inch is 2 ft
remember 1 ft is 12 inches so,
1 inch is 24 inches
so 7.5 inch will be 24*7.5 = 180 inches
180 inch / 12 = 15 ft
Please help due tmmr please help
Answer:
Leo´s response to the bully is a response of hurt and embarrassment. He seems sad and doesn´t even directly respond to the bullies ,¨several
students were huddled around Leo's desk... he had red rings around his eyes. He looked up at Hannah and said, "Why are people so mean?"
Explanation:
if Leo had posted something mean online the outcome would only have worsened. If it were him in the bullies shoes and the bully in his, the bully wouldve understood how these mean things make people feel.
Leo´s response to the bully is a response of hurt and embarrassment. He seems sad and doesn´t even directly respond to the bullies ,¨several
students were huddled around Leo's desk... he had red rings around his eyes. He looked up at Hannah and said, "Why are people so mean?"
Explanation:
if Leo had posted something mean online the outcome would only have worsened. If it were him in the bullies shoes and the bully in his, the bully wouldve understood how these mean things make people feel.
Leo´s response to the bully is a response of hurt and embarrassment. He seems sad and doesn´t even directly respond to the bullies ,¨several
students were huddled around Leo's desk... he had red rings around his eyes. He looked up at Hannah and said, "Why are people so mean?"
Explanation:
if Leo had posted something mean online the outcome would only have worsened. If it were him in the bullies shoes and the bully in his, the bully wouldve understood how these mean things make people feel.
Step-by-step explanation:
Which account option is more convenient for frequent check or debit card withdrawals and purchases but gains no interest?
A. Checking
B. Certificate of deposit
C. Savings
D. Money market
what is the greatest common multiple of 9 and 27
Hi,
The greatest common multiple of 9 and 27 is 9
explanations:
9 x 1 = 9
9 x 3 = 27
✅;-)