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3 years ago

Evaluate 0 with a 4 on top

Mathematics

1 answer:

EleoNora [17]3 years ago

8 0

9514 1404 393

Answer:

Step-by-step explanation:

0 to any positive power is 0.

0^4 = 0×0×0×0 = 0

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Laws Of Indicies<br>Can someone please help me with this?

nasty-shy [4]

Answer:

See below

Step-by-step explanation:

$1) : {a}^{5} {b}^{4} {c}^{3} \div {a}^{2} {b}^{3} c \\ \\ = {a}^{5 - 2} {b}^{4 - 3} {c}^{3 - 1} \\ \\ = {a}^{3} {b}^{1} {c}^{2} \\ \\ = {a}^{3} {b} {c}^{2} \\ \\ \\2)\: (x^2 y^3)^3\\\\= x^{2\times 3}y^{3\times 3}\\\|= x^{6}y^{9}\\\\\\3)\:5 {a}^{4} \div ( {a}^{2} \times 3a) \\ \\ = 5 {a}^{4} \div (3 {a}^{2 + 1} ) \\ \\ = 5 {a}^{4} \div (3 {a}^{3} ) \\ \\ = \frac{5}{3} {a}^{4 - 3} \\ \\ = \frac{5}{3} {a} \\ \\ \\ 4)\: \frac{14 {a}^{5} }{2 {a}^{3} \times 7 {a}^{4} } \\ \\ = \frac{14 {a}^{5} }{2 \times 7 {a}^{3 + 4} } \\ \\ = \frac{ \cancel{14} {a}^{5} }{ \cancel{14}{a}^{3 + 4} } \\ \\ = \frac{ {a}^{5} }{ {a}^{7} } \\ \\ = {a}^{5 - 7} \\ \\ = {a}^{ - 2} \\ \\ = \frac{1}{{a}^{2} } \\ \\$

8 0

3 years ago

Read 2 more answers

Solve each system by substitution<br><br> 2x - 3y = -1<br> X + 4y = -6

lord [1]

Answer:

(- 2, - 1 )

Step-by-step explanation:

Given the 2 equations

2x - 3y = - 1 → (1)

x + 4y = - 6 → (2)

Rearrange (2) expressing x in terms of y by subtracting 4y from both sides

x = - 6 - 4y → (3)

Substitute x = - 6 - 4y into (1)

2(- 6 - 4y) - 3y = - 1 ← distribute and simplify left side

- 12 - 8y - 3y = - 1

- 12 - 11y = - 1 ( add 12 to both sides )

- 11y = 11 ( divide both sides by - 11 )

y = - 1

Substitute y = - 1 into (3) for corresponding value of x

x = - 6 - 4(- 1) = - 6 + 4 = - 2

Solution is (- 2, - 1 )

3 0

3 years ago

A sailboat started his journey at 6:30 am and reached his destination at 11:45 pm.If the distance of the journey was 1276.5, wha

attashe74 [19]

Answer:

74 mph

Step-by-step explanation:

step 1

Find the total time

A sailboat started his journey at 6:30 am and reached his destination at 11:45 pm

from 6:30 am to 12:00 pm ----> there are 5 hours + 30 minutes=5.5 hours

from 12:00 pm to 11:45 pm ----> there are 11 hours + 45 minutes=11.75 hours

The total time is

5.5+11.75=17.25 hours

step 2

Find the average speed

we know that

The average speed is equal to divide the total distance by the total time

$speed=\frac{1,276.5}{17.25}= 74\ mph$

4 0

3 years ago

A box of cereal contains 23.4 ounces. It costs $5.49. What is the cost to the nearest cent of the cereal per ounce

cestrela7 [59]

So in a proportion 23.4 over 5.49 equals 1 over o and multiply 5.49•1=23.4o
5.49=23.4o divide by 23.4 on both sides and that equals 4.26 per oz

3 0

3 years ago

Read 2 more answers

Convert 17.42 m to customary units. A.57'-17/8" B. 36-10 1/2" C. 442 1/2" D. 367/8" E. None of these answers is reasonable.

mars1129 [50]

Answer:

Option E - None of these answers is reasonable.

Step-by-step explanation:

To find : Convert 17.42 m to customary units ?

Solution :

The customary units is defined as the measure length and distances in the customary system are inches, feet, yards, and miles.

The options belong to feet and inches.

We have to convert meter into inches, feet.

Meter into feet,

$1 \text{ feet} = 0.3048 \text{ meter}$

$1 \text{ meter} = \frac{1}{0.3048}\text{ feet}$

$17.42 \text{ meter} = \frac{17.42}{0.3048}\text{ feet}$

$17.42 \text{ meter} = \frac{174200}{3048}\text{ feet}$

$17.42 \text{ meter} =57 \frac{464}{3048}\text{ feet}$

$17.42 \text{ meter} =57 \frac{58}{381}\text{ feet}$

Now, Feet into inches

$1 \text{ feet} = 12\text{ inches}$

$\frac{58}{381} \text{ feet} = 12\times \frac{58}{381}\text{ inches}$

$\frac{58}{381} \text{ feet} =\frac{232}{381}\text{ inches}$

i.e. $17.42 \text{ meter} =57\text{ feet }\frac{232}{381}\text{ inches}$

or $17.42 \text{ meter} =57'\frac{232}{381}''$

None of these answers is reasonable.

Therefore, Option E is correct.

5 0

3 years ago