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3 years ago

The factor tree below provides the factors of 18. What is the prime factorization of 18?

Mathematics

2 answers:

Goshia [24]3 years ago

5 0

Answer:

$18=2\times 3^2$

Step-by-step explanation:

Given : The factor tree of 18.

To find : What is the prime factorization of 18?

Solution :

Factor tree of 18.

6 3

2 3 3

The prime Factor of 18 is

$18=2\times 3\times 3=2\times 3^2$

Softa [21]3 years ago

4 0

The prime factorization of 18 is
2 × 3²

____
You could read this from the factor tree by looking at the leaves.

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Having a problem solving for h in this algebra problem. A=1/2h(B+b); A=35, B=6, b=1 So h=?

ivann1987 [24]

35 = 1/2h (6+1)
35 = 1/2 h + 7
28 = 1/2h
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2 years ago

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A 2-gallon bucket of paint costs $101.20. What is the price per quart?

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3 years ago

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Count the number of 5-digit numbers (in the decimal system; integers from 10000 to 99999) which are not divisible by 11.

Alexxandr [17]

Answer:

So total number which is not divisible by 11 = 89999-8181 = 81819

Step-by-step explanation:

We have to find the total numbers which are not divisible by 11 from 10000 to 99999

Total number from 10000 to 99999 = 99999-10000+1=90000

Just after 10000 the number which is divisible by 11 is 10010

And just below 99999 the number which is divisible by 11 is 99990

Using AP formula

$T_N=a+(n-1)d$ , here a is first term, d is common difference and n is number of terms

So $99990=10010+(n-1)11$

n-1 = 8180

n= 8181

So total number which is not divisible by 11 = 90000-8181 = 81819

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3 years ago

Write the given second order equation as its equivalent system of first order equations. u′′−5u′−4u=1.5sin(3t),u(1)=1,u′(1)=2.5

lakkis [162]

Answer:

hi your question options is not available but attached to the answer is a complete question with the question options that you seek answer to

Answer: v = 5v + 4u + 1.5sin(3t),

1.5sin(3t)

Step-by-step explanation:

u" - 5u' - 4u = 1.5sin(3t) where u'(1) = 2.5 u(1) = 1

v represents the "velocity function" i.e v = u'(t)

As v = u'(t)

u' = v

since u' = v

v' = u"

v' = 5u' + 4u + 1.5sin(3t) ( given that u" - 5u' - 4u = 1.5sin(3t) )

= 5v + 4u + 1.5sin(3t) ( noting that v = u' )

so v' = 5v + 4u + 1.5sin(3t)

d/dt $\left[\begin{array}{ccc}u&\\v&\\\end{array}\right]$ = $\left[\begin{array}{ccc}0&1&\\4&5&\\\end{array}\right]$ $\left[\begin{array}{ccc}u&\\v&\\\end{array}\right]$ + $\left[\begin{array}{ccc}0&\\1.5sin(3t)&\\\end{array}\right]$

Given that u(1) = 1 and u'(1) = 2.5

since v = u'

v(1) = 2.5

note: the initial value for the vector valued function is given as

$\left[\begin{array}{ccc}u(1)&\\v(1)\\\end{array}\right]$ = $\left[\begin{array}{ccc}1\\2.5\\\end{array}\right]$

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2 years ago

The value of 33 + 42 = ___.

frez [133]

Answer:

Step-by-step explanation:

We line up the tens place of 33 and 42 as well as the ones place so that it looks like:

+42

--------

Then we add first the ones, which is 3 + 2 for 5. Then we add the tens together, 3 + 4 is 7. We put the five first since its in the ones place and the 7 second since its in the tens place for 75.

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2 years ago

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