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2 years ago

PLEASE HELP MEEEE i'll give brainliest if it's answered w work thank u lololol im failing this class

Mathematics

1 answer:

Vinil7 [7]2 years ago

8 0

Answer:

it is 20 miles per gallon

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Compute the following radical. sq root 144

lara31 [8.8K]

we are given

$\sqrt{144}$

Firstly, we will find all possible factors of 144

$144=2\times 2\times 2\times 2\times 3\times 3$

we can also write as

$144=(2\times 2)^2\times (3)^2$

now, we can put exponent to over entire term

$144=(2\times 2\times 3)^2$

now, we can replace 144

$\sqrt{144}=\sqrt{(2\times 2\times 3)^2}$

now, sqrt will get cancelled with square

and we get

$\sqrt{144}=(2\times 2\times 3)$

now, we can simplify it

$\sqrt{144}=(4\times 3)$

$\sqrt{144}=12$ .............Answer

3 0

3 years ago

What is 46.2 x 10 negative 2=

Nutka1998 [239]

The Answer is -924.

4 0

3 years ago

2) Evaluate 9 X 364 – 9 X 125 – 9 X 39 without the use of your calculator

Brums [2.3K]

Answer:

9*364 - 9*125 - 9*39 = 1,800

Step-by-step explanation:

Mental Calculation

If we detect known patterns in the calculations, we could easily give their results without the use of calculators.

We are given the expression to evaluate:

9*364 - 9*125 - 9*39

The first thing to note is the 9 is a common factor of all terms, thus we take it out:

9*(364 - 125 - 39)

The negative numbers can be easily added

125

+ 39

------------

164

Now our expression is much easier:

9*(364 - 164)

The subtraction of 364-164 is 200, thus the result of the operations is:

9*200. We only need to recall 9*2=18 and add two zeros to get 1,800, thus:

9*364 - 9*125 - 9*39 = 1,800

7 0

3 years ago

Solve the following ODE's: c) y* - 9y' + 18y = t^2

Nastasia [14]

Answer:

y = $C_1e^{3t}+C_2e^{6t}$ + $\dfrac{1}{18}(t^2+\frac{2t}{6} + \frac{2}{36}+\frac{2t}{3}+\frac{2}{18}+\frac{2}{9})$

Step-by-step explanation:

y''- 9 y' + 18 y = t²

solution of ordinary differential equation

using characteristics equation

m² - 9 m + 18 = 0

m² - 3 m - 6 m+ 18 = 0

(m-3)(m-6) = 0

m = 3,6

C.F. = $C_1e^{3t}+C_2e^{6t}$

now calculating P.I.

$P.I. = \frac{t^2}{D^2 - 9D +18}$

$P.I. = \dfrac{t^2}{(D-3)(D-6)}\\P.I. =\dfrac{1}{18}(1-\frac{D}{3})^{-1}(1-\frac{D}{6})^{-1}(t^2)\\P.I. =\dfrac{1}{18}(1-\frac{D}{3})^{-1}(1+\frac{D}{6}+\frac{D^2}{36}+....)(t^2)\\P.I. =\dfrac{1}{18}(1-\frac{D}{3})^{-1}(t^2+\frac{2t}{6} + \frac{2}{36})\\P.I. =\dfrac{1}{18}(1+\frac{D}{3}+\frac{D^2}{9}+....)(t^2+\frac{2t}{6} + \frac{2}{36})\\P.I. =\dfrac{1}{18}(t^2+\frac{2t}{6} + \frac{2}{36}+\frac{2t}{3}+\frac{2}{18}+\frac{2}{9})$

hence the complete solution

y = C.F. + P.I.

y = $C_1e^{3t}+C_2e^{6t}$ + $\dfrac{1}{18}(t^2+\frac{2t}{6} + \frac{2}{36}+\frac{2t}{3}+\frac{2}{18}+\frac{2}{9})$

7 0

3 years ago

A radio transmission tower is 180 feet high. How long should a guy wire be if it is to be attached to the tower 11 feet from the

lawyer [7]

Answer:

Step-by-step explanation:

3 0

2 years ago