Answers
Answer:
D. [tex]\frac{4x^{2} \sqrt{29}}{29}[/tex]
Step-by-step explanation:
Given the expression:
[tex]\frac{40x^{2} \sqrt{x^{12} } }{10x^{2} \sqrt{29x^{8} } }[/tex]
divide by the common factor to have;
[tex]\frac{4\sqrt{x^{12} } }{\sqrt{29x^{8} } }[/tex] = [tex]\frac{4(x^{12}) ^{\frac{1}{2} } }{(29x^{8}) ^{\frac{1}{2} } }[/tex]
= [tex]\frac{4x^{6} }{\sqrt{29}x^{4} }[/tex]
= [tex]\frac{4x^{2} }{\sqrt{29} }[/tex]
Rationalize the denominator, we have;
[tex]\frac{4x^{2} }{\sqrt{29} }[/tex] x [tex]\frac{\sqrt{29} }{\sqrt{29} }[/tex]
So that,
[tex]\frac{4x^{2} \sqrt{29} }{29}[/tex]
Thus,
[tex]\frac{40x^{2} \sqrt{x^{12} } }{10x^{2} \sqrt{29x^{8} } }[/tex] = [tex]\frac{4x^{2} \sqrt{29} }{29}[/tex]
The correct option is D.
Related Questions
5. Following data indicates the number of vehicles arrived during past
100 days in a certain tolling station.
Vehicles
No. of days
0 - 10
3
10 - 20
14
20 - 30
53
30-40
20
40 - 50
10
Calculate average number of vehicles in a day,
Answers
Answer:
what are you supposed to do here?
Step-by-step explanation:
simple math! i'll mark you if you get it right
Answers
Answer:
5
Step-by-step explanation:
Brainly plsss
HURRY PLEASE....... Jessica always uses the same ratio of green beads to blue beads when she makes necklaces. The graph shows these equivalent ratios. Which table shows the same data?
Answers
Answer:b
Step-by-step explanation:
two beads for every 3
Explain what method is used to solve problems involving scale drawings.
A. Use a proportion
B. Make an educated guess
C. Get a ruler or tape measure and measure the distance
D. Make a drawing on paper
Answers
Write 45% as a decimal.
Answers
Answer:
0.45
Step-by-step explanation:
Because you have to write 45% has money so 45.00 divide by 100 = 0.45 hope this is right and helpful. Can you mark me brainliest
help pleased this is homework I need now plz.
Answers
Answer:
Step-by-step explanation:
Divide the numbers and write what you got in distributive property
Pls help extra points and mark brainlist easy reading
Answers
Answer: Its they second or last one but the second one sound more clear
Step-by-step explanation:
A 145 ft. building casts a 667 ft. shadow from the sun. To the nearest tenth of a degree, what is the angle of depression? Need it asap pls ;-;
Answers
Answer:
78ft
I got it off of apec
the target temperature for a laboratory is 71° f. it can vary by up to 3°. if t is the temperature in the laboratory, which of the following inequalities represents this situation?
Answers
Answer:
|t-71| < 3
Step-by-step explanation:
The inequalities represents this situation is | t - 71 | < 3 .
What is inequality?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size
According to the question
The target temperature for a laboratory = 71° f.
it can vary by up to 3°. (highest limit)
the temperature in the laboratory represented by t
Now,
inequalities represents this situation is
| t - 71 | < 3
Hence, the inequalities represents this situation is | t - 71 | < 3
To know more about inequalities here:
https://brainly.com/question/20383699
#SPJ2
Find the distance from the point (0, 3) to the line y = 3x – 9. Round your answer to the nearest tenth.
The distance is about
units.
Answers
Answer:
4
Step-by-step explanation:
This is a vague question so I understand why you reached out for help. Please not that my answer is not correct in case the problem is subliminally asking for the shortest distance, but there is no indication of that on the question prompt.
The graph is not drawn to scale.
The distance between the line and the point is 4 units.
What is Distance formula?The formula to find the distance between the two points is usually given by d=√((c-a)² + (d-b)²). This formula is used to find the distance between any two points on a coordinate plane or x-y plane.
Given: line: y= 3x-9
put y= 3
3 = 3x-9
12 = 3x
x= 4
and, the other point is (0, 3).
Now, the distance between theses points
D= √(4-0)² + (3 -)²
D= √4²
D= √16
D= 4 units
Hence, the distance is 4 units.
Learn more about Distance formula here:
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A toy company is releasing a new catapult for water balloons that launches them at 9.8 meters per second from a stand 0.6 meters tall. The function f(x) = −4.9x2 + 9.8x + 0.6 describes the path of the water balloon, where x is the amount of time since the launch.
While the mathematical range is y ≤ 5.5, how does the reasonable range compare?
The reasonable range is limited to y ≥ 0.
The reasonable range is limited to y ≥ 0.6.
The reasonable range is limited to 0 ≤ y ≤ 5.5.
The reasonable range is limited to 0.6 ≤ y ≤ 5.5.
Answers
Answer: The answer is D
Step-by-step explanation: got it form edge
Answer:
its the 3rd option actually The reasonable range is limited to 0 ≤ y ≤ 5.5.
Step-by-step explanation:
edge
Consider a company that has two different divisions. The annual profits from the two divisions are independent and have distributions Profit1 ~ N(5, 3^2) and Profit2 ~ N(7, 4^2) respectively. Both the profits are in $ Million. Assume that $1 = Rs. 45
A. Specify a Rupee range (centered on the mean) such that it contains 95% probability for the annual profit of the company.
B. Specify the 5th percentile of profit (in Rupees) for the company
C. Which of the two divisions has a larger probability of making a loss in a given year?
Answers
Answer:
a) Rs 603.68
b) Rs 476.33
c) first division
Step-by-step explanation:
Total profit = profit 1 + profit 2 = P
hence P ~ N(12,74) = [tex]\frac{P-12}{\sqrt{74} } ~ N(0,1)[/tex]
A ) Specifying a Rupee range ( centered on the mean ) that contains 95% probability for annual profit of the company
$13.41 = Rs 603.68
B) specifying the 5th percentile of profit
p = $10.59 ≈ Rs 476.33
C) The division that has a larger probability of making a loss in a given year is the first division
attached below is a detailed solution of the given problem
A): Range containing 95% probability for profit of company is
(Rs. 99M, Rs. 1026M).
B): Rs. 170.1 Million.
C): First division of the company has larger probability of making a loss.
Given that:
$1 = Rs. 45
[tex]Profit_1 \sim N(5, 3^2) \\ Profit_2 \sim N(7, 4^2)[/tex]
Thus,
Company's profit:
[tex]P \sim N( 5+7, 3^2 + 4^2) = N(12, 5^2)[/tex]
A):
95% of the probability lies between 1.96 standard deviations of the mean.
Thus range is:
[tex]= (12 - 1.96\times 5, 12 + 1.96 \times 5)\\\\= (\$2.2M, \$22.8M)\\ \\= (\rm Rs. \: 99M, \rm Rs. \: 1026M)[/tex]
B): Fifth percentile is calculated as:
[tex]P(Z \leq \dfrac{p-12}{5}) = 0.05[/tex]
From p values of z score table, we get:
[tex]\dfrac{p-12}{5} = -1.644\\p = 12 - 8.22 = 3.78\\[/tex]
Thus at $3.78M dollars, or Rs. 170.1M amount, 5th percentile of profit lies.
Or 5th percentile of profit is Rs. 170.1 Million.
C): Loss is when profit < 0
Thus: p < 0
The first division of company, thus have larger probability of making a loss in a given year.
Learn more here:
https://brainly.com/question/13299273
find the scale factor from DEF to ABC
Answers
Answer:
³/2 (1.5)
Step-by-step explanation:
∆DEF was enlarged to get ∆ABC. The scale factor would be:
The ratio of any of the side length of ∆ABC to the corresponding side length of ∆DEF.
Thus,
BC:EF = 12:8
= 12/8
= 3/2 = 1.5
Scale factor from ∆DEF to ∆ABC is ³/2 or 1.5
help please....and thank you
Answers
The rate of change describes how the total cost changes with respect to time. Use this table to find the rate of change.
Answers
Answer:
look below ⏬
Step-by-step explanation:
you can see there is a pattern
0.40
0.70
1.00
so you keep adding three (30)
1.30
1.60
1.90
And for 0
0.10
All in oder now
0- 0.10
10- 0.70
20- 1.00
30- 1.30
40- 1.60
50- 1.90
60- 2.20
2 divided by negative 1/5
Answers
Answer: 10
you have to find a common denominator between two and five which is 10. therefore making the number 2 into the fraction 20/10 and finding the common denominator of 1/5 makes it now 2/10. now divide 20 by 2 which gets you 10. and dividing 10 by 10 gets you. therefore making the new fraction 10/1 which is equal to 10. :)
Sally goes to the store and buys a camera for $65. The store is
running a discount of 10%. What is the price of the camera after the
discount?
Answers
Answer:
58.50
Step-by-step explanation:
Vhich real-world scenario can be described using the algebraic expression c/4?
Answers
Answer:
Baking c cookies and dividing them evenly among 4 friends.
Brainiest???
Hope this helps
When a=-12 and b=6, which expression:
has the largest value?
has the smallest value?
is the closest to zero?
When a=12 and b=-6, which expression:
has the largest value?
has the smallest value?
is the closest to zero?
When a=-6 and b=-12, which expression:
has the largest value?
has the smallest value?
is the closest to zero?
Answers
Answer:
⬇
Step-by-step explanation:
2 :
B has the largest value
A has the smallest
A is closer to 0
3:
Largest value is A
Smallest is B
A is closer
4:
B has the largest value
A is smallest
B is closer to 0
I really hope this helps!
a larger gear wheel has 40 teeth and a small gear wheel has 25 teeth. if the larger one makes 100 revolutions in a minute, how many revolutions does the smaller one make?
Answers
so the gear ratio will be 1.6 it simply means dat if u rotate large gears one full revolution it tends to turn another short wheel to 1.6 revs, so in ur qtion the large whell revs 100 den u must multiply wid 1.6*100= 160 revs
Help due in 30 min!!!!!!!!!!!!!!!
Answers
Explanation:
m = (y1 - y)/(x1 - x)
m = (4-3)/(3-7)
m = 1/-4 = -1/4
Answer:
b. - 1/4
Step-by-step explanation:
Start at the point highest on the line(3,4). Subtract the x value of the second point, from the x value of the first point.(3-7) Then do the same with the y values.(4-3) This gives you x=-4and y= 1. Slope= y/x, so you get -1/4
What is the equation of a parallel line to y = -5x + 2 that passes through the point (-1, 4)?
Answers
Answer:
The equation of the Parallel line passes through the point (-1,4) is
y = -5 x -1
Step-by-step explanation:
Explanation:-
Given the equation of the line y = -5 x + 2
Given point (-1 , 4 )
The equation of the parallel line of a given line is 5x + y +k=0 ...(i)
The equation (i) passes through the point (-1,4)
5(-1)+4+k=0
-5 +4 +k =0
-1 + k = 0
k = 1
The equation of the Parallel line passes through the point (-1,4) is
y = -5 x -1
The school show choir is holding a car wash to raise $350 for
new costumes. After spending $30 on supplies, the students will
wash cars for donations of $6 each.
This situation can be modelled by the inequality 6C + 30 > 350,
which has the solution c> 53.33. What is the best way to
interpret this solution?
A. Show choir needs $53.33 to meet their goal.
B. Show choir should have spent another $53.33 on supplies.
C. At least 54 show choir students must participate in the car
wash.
D. Show choir needs to wash at least 54 cars.
Answers
Answer:
D.
Step-by-step explanation:
It’s the only option that makes sense. Option A. Is invalid because they need to make $350. Option B. Is just purely invalid and has no context to support the theory. C. Is possible, but we can have students wash more than one car, so we don’t need fifty four kids.
D. Is your answer.
Hope this helped!!
LunarRose3
Dawn has two bank accounts she has been using to save money for a car. The difference between account A and account B is $100. If she uses StartFraction 3 Over 8 EndFraction of account A and StartFraction 7 Over 8 EndFraction of account B, Dawn will have a down payment of $2000. Choose the statements that are true when solving for the amount Dawn has in each account. Check all that apply.
One of the equations that represents this scenario is A – B = 100.
One of the equations that represents this scenario is StartFraction 3 Over 8 EndFractionA + StartFraction 7 Over 8 EndFractionB = 2000.
To eliminate the A variable, multiply the first equation by 3 and the second by 8.
To eliminate the B variable, multiply the first equation by 7 and the second by 8.
To eliminate the B variable, multiply the first equation by 7 and the second by –8.
Answers
Answer:
1) One of the equations that represents this scenario is A – B = 100.
2)One of the equations that represents this scenario is StartFraction 3 Over 8 EndFractionA + StartFraction 7 Over 8 EndFractionB = 2000.
4) To eliminate the B variable, multiply the first equation by 7 and the second by 8.
Step-by-step explanation:
Answer:
a b and d
Step-by-step explanation:
What is 8^6 ÷8 simplified
Answers
8^6 is actually 8×8×8×8×8×8.
So if you divide this by 8, you get 8^5 or 8×8×8×8×8
Well...
8×8×8×8×8=32768
guys I have a band test and pleaseeeee help me out
The natural minor scale -
A follows the key signature of the relative Major.
B Follows the key signature of the relative Major and adds the leading tone.
C follows the key signature of the relative Major, and raises the 6th and 7th ascending, and flats the 6th and 7th descending.
D has the same root as the relative Major.
Answers
Answer:
i think its c
Step-by-step explanation:
Please help me if u know
Answers
Answers
x= -3/2
x= 3i
x= -3i
Step-by-step explanation:
f (x) = 2x3 + 3x2 + 18x + 27
Set 2x^3 + 3x^2 + 18x + 27 equal to 0.
2x^3 + 3x^2 + 18x + 27 = 0
Solve for x.
Factor the left side of the equation.
Factor out the greatest common factor from each group.
x^2 (2x + 3) + 9 (2x + 3) = 0
Factor the polynomial by factoring out the greatest common factor, 2x + 3. (2x + 3) (x^2 + 9) = 0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
2x + 3 = 0
x^2 + 9 = 0
Set 2x + 3 equal to 0 and solve for x.
Set 2x + 3 equal to 0. 2x + 3 = 0
Solve 2x + 3 = 0 for x. Tap for more steps...
3 x = − 2
Set x2 + 9 equal to 0 and solve for x.
Set x2 + 9 equal to 0. x2 + 9 = 0
Solve x2 + 9 = 0 for x.
x = 3i, −3i
The final solution is all the values that make (2x + 3) (x2 + 9) = 0 true.
x = − 3/2 , 3i, −3i
plz help me math work question in photo
Answers
the answer is C.
the exponent of 10 is -2, so the decimal point will move to the left two spaces which makes .0254 mm
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Please only 10% of people are smart to answer this
Answers
Answer:
it's the one highlighted in orange
Step-by-step explanation:
I hope this helps with your question :)