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3 years ago

7

A spring has a natural length of 20 cm. If a 30-N force is required to keep it stretched to a length of 38 cm, how much work W i

s required to stretch it from 20 cm to 29 cm? (Round your answer to two decimal places.)

1 answer:

sergeinik [125]3 years ago

5 0

Replace your arnswer to 64

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Log10 (2x + 1) - logio(3x - 2) = 1

Pavlova-9 [17]

Answer: x=3/4

Step-by-step explanation:

To solve, first express the left side as one logarithm. To do so, apply the quotient rule which is log_bM/N=log_bM-log_bN .

log((2x+1)/(3x-2))=1

Then, express the equation to its equivalent exponential form to eliminate the logarithm.

Note that the exponential form of log_b M=a is M=b^a .

Since the base of the logarithm in the given equation is not written, it indicates that its base is 10.

So re-writing the equation, it becomes:

log_10((2x+1)/(3x-2))=1

And its exponential form is:

(2x+1)/(3x-2)=10^1

(2x+1)/(3x-2)=10

Now that the equation has no more logarithm, the next step is to remove the x in the denominator.

To do so, multiply both sides by 3x-2.

(3x-2)*(2x+1)/(3x-2)=10*(3x-2)

2x+1=30x-20

Next, combine like terms.

To combine 30x and 2x, bring them together on one side of the equation. So, move 2x to the right side by subtracting both sides by 2x.

2x-2x+1=30x-2x-20

1=28x-20

To combine 20 and 1, bring them together on the side opposite the term with x. So, add both sides by 20.

1+20=28x-20+20

21=28x

And, divide both sides by 28 to have x only at the right side.

21/28=(28x)/28

3/4=x

Hence, the solution to the given equation is x=3/4 .

3 0

2 years ago

The cost of five books is $36.25. What is the unit price?

zimovet [89]

Step-by-step explanation:

Cost of 5 books = $ 36.25

Cost of 1 book = $36.25 / 5 = $ 7.25

The unit price is $ 7.25

Hope it will help :)

7 0

3 years ago

Answer ASAP<br> will mark as brainliest

ohaa [14]

I think the answer is √20

let me know if I'm wrong. hope this helps

7 0

3 years ago

PLESE HELP I WILL MARK BRAINEST PLEASE

FrozenT [24]

Answer:

a) 23.0769% increase

b) 9.375% decrease

Step-by-step explanation:

7 0

3 years ago

Martha bought 3 apples and 6 oranges She had $10 in her wallet which was enough money for the purchase wrie a asystem of equatio

meriva

3x + 6y = 10 is the equation to determine of an apple x and the price of an orange y

<em><u>Solution:</u></em>

Let the price of each apple = $ x

Let the price of each orange = $ y

Martha bought 3 apples and 6 oranges

She had $10 in her wallet which was enough money for the purchase

Thus the equation is:

Total amount = 3 apples(price of each apple) + 6 oranges(price of each orange)

Thus we get,

$10 = 3x + 6y\\\\3x + 6y = 10$

Thus the equation is found

8 0

3 years ago