1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
3241004551 [841]
3 years ago
9

Simplify sqrt of 4x^6

Mathematics
1 answer:
In-s [12.5K]3 years ago
4 0

Answer:

4x^6 = sqroot(4) *  sqroot(x^2) * sqroot(x^2) * sqroot(x^2)

= 2 * x * x * x  = 2x^3

Step-by-step explanation:

You might be interested in
What steps should be taken to calculate the volume of the prism? Select three options. ES 24 ft 6 ft 9 h ft D Use the formula A
Andrej [43]

Answer:

1368 ft

Step-by-step explanation:

4 0
3 years ago
a die rolled. the set of equally likely outcomes is 1 ,2, 3, 4, 5, 6. find the probability of getting a 10.
Sidana [21]

Answer:

1 in 12

Step-by-step explanation:

hard to explain

5 0
3 years ago
4 points
adell [148]
267.05 hope this helpssss
8 0
3 years ago
(a) Find the three-digit number that increases by 30% when each of its
Elden [556K]

Step-by-step explanation:

So a three digit number can be expressed as: 100a + 10b + c where a is the third digit, b is the second digit, and c is the first digit. Or in other words a is the hundreds place, b is the tens place, and c is the ones place. When something "increases" by 30%, it is 130% it's original value, and to calculate how much that is, you simply convert 130% to a decimal by dividing by 100, which gives you 1.30. And since all the digits are increased by 1, you have the equation:

100(a+1) + 10(b+1) + 1(c+1) = 1.30(100a+10b+c)

Distribute the multiplication on the left side:

100a+100+10b+10+c+1=1.30(100a+10b+c)

Distribute the multiplication on the right side:

100a+100+10b+10+c+1=130a+13b+1.3c

Add like terms on the left side:

100a+10b+c+111=130a+13b+1.3c

Subtract 100a, 10b, and c from both sides

111=30a+3b+0.3c

So "technically" you can just plug in any two values, and then solve for the last value, but since you have a 3 digit number, you have the restriction of a < 10, b < 10, and c < 10, and also a, b, and c, should only be integers and all have the same sign or it wouldn't be a 3 digit number.

So let's start with a, since it has the highest coefficient, well you can fit 30 into 111, 3 times without going over so that's the first value

111 = 30(3) + 3b + 0.3c

111 = 90 + 3b + 0.3c

Now subtract the 90 from both sides

21=3b+0.3c

Well 3 can fit into 21, 7 times!

21 = 3(7) + 0.3c

21 = 21 + 0.3c

subtract 21 from both sides

0 = 0.3c

and now obviously c is 0, if you want you can divide both sides by 0.3 but it's a bit redundant

c = 0

This gives you the three values, a=3, b=7, c=0. which is the number 370. Now let's double check. Adding 1 to each digit would give you 481 and 481/370 = 1.3, so it is correct!

part b:

So to prove there is no three digit number, is to realize there is no solution, given the restriction or integers, greater than or equal to 0, and less than 10, and all of them must have the same sign.

So let's start with the same equation except this time instead of 1.3 it's 1.4

100(a+1) + 10(b+1) + 1(c+1) = 1.40(100a+10b+c)

Distribute on the left side;

100a+100+10b+10+c+1=1.40(100a+10b+c)

Distribute on the right side:

100a+100+10b+10+c+1=140a + 14b + 1.4c

Add like terms on left side:

100a + 10b + c + 111 = 140a + 14b + 1.4c

Subtract 100a, 10b, and c from both sides:

111 = 40a + 4b + 0.4c

Now to do the same process, let's start by finding how many times we can fit 40 into 111, and if you're wondering why we start with 40, it's because let's say for example I just say, I can fit another 40 into it, but I decide not to, and let b do that, well even if it's just 40, b will have be at least 10, which does not fit our restrictions, so you have to fit as many 40's into the number first then go the other numbers.

So only 2 40's can fit in 111 without going over the value

111 = 40(2) + 4b + 0.4c

Subtract 80 from both sides

31=4b+0.4c

4 can fit into 31, 7 times

31 = 4(7) + 0.4c

31 = 28 + 0.4c

subtract 28 from both sides

3 = 0.4c

divide both sides by 0.4

7.5 = c.

Since c is not an integer there is no 3 digit number that exists that increases by 40% whenever you increase it by 1.

7 0
2 years ago
What type of angles are ECH and FCG?
Darina [25.2K]

ECH is an acute angle.

FCG is also an acute angle.

5 0
3 years ago
Read 2 more answers
Other questions:
  • What is the area of a sector with a central angle of 2π 9 radians and a diameter of 20.6 mm? Use 3.14 for π and round your answe
    8·1 answer
  • Suppose a stock had an initial price of $87 per share, paid a dividend of $1.60 per share during the year, and had an ending sha
    11·1 answer
  • Students are getting signatures for a petition to increase sports activities at the comunitu center. The number of signatures th
    6·2 answers
  • A principal of $2000 is invested at 7% interest, compounded annually. How much will the investment be worth after 10 years? Use
    9·1 answer
  • If triangle ABC is defined by the coordinated A(3,6), B(7,6), C(7,3) is dilated by a scale factor of 3, with resulting vertex A'
    7·1 answer
  • What is the solution to the inequality? 2 3/5
    6·1 answer
  • To make 12 ounces of hot chocolate, 3 tablespoons of cocoa are needed. How many tablespoons of cocoa are needed to make 72 ounce
    14·1 answer
  • Is 1 5/6 a rational number or a iraarational
    6·1 answer
  • Express 29 and 37 as the sum of two squares.
    13·1 answer
  • Os
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!