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3 years ago

I need to combine and simplify this radical expression but forgot how... please help

Mathematics

1 answer:

steposvetlana [31]3 years ago

5 0

$\bf \cfrac{1}{3}\sqrt[3]{81}\implies \cfrac{1}{3}\sqrt[3]{3^4}\implies \cfrac{1}{3}\sqrt[3]{3^{3+1}}\implies \cfrac{1}{3}\sqrt[3]{3^3\cdot 3^1}\implies \cfrac{1}{3}\cdot 3\sqrt[3]{3^1}
\\\\\\
\sqrt[3]{3}$

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What is the y- intercept of 2x-5y=35 <br> ****please hurry****

Alla [95]

Answer: the y-intercept is -7

Step-by-step explanation: Rewrite the equation in slopr intercept form and simplify:

2x-5y=35 Subtract 2x from both sides

-5y = -2x + 35 Divide both sides by -5 to isolate y

y = 2x/5 -7

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3 years ago

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S=(1 r)<br> c. find c if s = r 174 and r= 45%

stepladder [879]

The question is incorrect because of the apparent contradiction the question makes.
First statement says that a quantity S is equal to quantity r.
The second statement says that S = 174r.
Moreover, the quantity C is not correctly linked with the equation. Please either correct the question or explain the ambiguity.

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3 years ago

What is the value of x?

Talja [164]

Use the Pythagorean theorem. The Pythagorean Theorem uses the following formula:

$a^{2} + b^{2} = c^{2}$

Plug in the known values into the equation:

$a = 6, c = 10$

$6^{2} + b^{2} = 10^{2}$

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Subtract both sides by 36.

$b^{2} = 64$

Square root both sides to get b by itself.

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The value of x is 8.

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3 years ago

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Harry church borrowed 17,500.00 at 6.5% exact interest. He had to pay back a maturity value of 17,873.97 to pay off the loan. Wh

kirill [66]

Answer:the term of the loan is approximately 4 months

Step-by-step explanation:

The term of the loan means the period for which the loan was given.

We would apply the formula for simple interest which is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time in years

I = interest after t years

From the information given

P = 17500

R = 6.5%

I = total amount paid - principal

I = 17,873.97 - 17,500.00 = 373.97

Therefore

373.97 = (17500 × 6.5 × T)/100

373.97 = 1137.5T

T = 373.97/1137.5

T = 0.32 years

Converting to months, it becomes

0.32 × 12 = 3.84

Approximately 4 months.

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3 years ago

What is the equivalent decimal to this fraction? 10/45 0.2 0.222222222... 0.232323232323... 0.181818181818...

Ivan

Factorize the numerator and denominator, then simplify:

10/45 = (2×5)/(9×5) = 2/9

Now,

1/9 = 1/10 + 1/90

1/90 = 1/10 × 1/9 = 1/10 × (1/10 + 1/90) = 1/100 + 1/900

1/900 = 1/100 × 1/9 = 1/100 × (1/10 + 1/90) = 1/1000 + 1/9000

and so on, which is to say

1/9 = 1/10 + 1/100 + 1/1000 + …

1/9 = 0.111…

so that multiplying both sides by 2 gives

2/9 = 0.222…

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2 years ago