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3 years ago

7

Simplify expression with rational exponents.

1 answer:

musickatia [10]3 years ago

5 0

27^(4/3)+4^(3/2) can be simplified using roots.

The cube root of 27 is 3 and the square root of 4 is 2. This removes the denominators from the expression. The expression is now 3^4+2^3.

Simplify this and you get 81+8=89

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The product of 3 and a number "k". <br><br> Written in a math expression

NeX [460]

Answer:

Step-by-step explanation:

3 x k = 3k

6 0

3 years ago

Find the differential of each function. (a) y = tan( 5t ) dy = Correct: Your answer is correct. (b) y = 5 − v2 5 + v2

Trava [24]

Answer:

$(a)$ $dy = 5sec^2(5t) \ dt$

$(a) \ dy = \frac{-20v}{(5+v^2)^2} \ dt$

Step-by-step explanation:

Given;

(a) y = tan(5t)

$(b) \ y = \frac{5-v^2}{5+v^2}$

Solving for (a)

y = tan(5t)

let u = 5t

⇒y = tan(u)

du/dt = 5

dy/du = sec²u

$\frac{dy}{dt} =\frac{dy}{du} *\frac{du}{dt} \\\\\frac{dy}{dt} = sec^2(u)*5\\\\\frac{dy}{dt} = 5sec^2(u)\\\\\frac{dy}{dt} = 5sec^2(5t)$

$dy = 5sec^2(5t) \ dt$

Solving for b;

let u = 5 - v²

du/dv = -2v

let v = 5+ v²

dv/du = 2v

$\frac{dy}{dv} = \frac{vdu - udv}{v^2} \\\\\frac{dy}{dv} = \frac{-2v(5+v^2) - 2v(5-v^2)}{(5+v^2)^2}\\\\\frac{dy}{dv} = \frac{-10v-2v^3-10v+2v^3}{(5+v^2)^2}\\\\$

$\frac{dy}{dv} = \frac{-10v-10v}{(5+v^2)^2}\\\\\frac{dy}{dv} = \frac{-20v}{(5+v^2)^2}\\\\dy = \frac{-20v}{(5+v^2)^2} dt$

4 0

3 years ago

Vertx: (3, 1)<br> Focus: (3,-1)

enot [183]

Answer:

i need help with this one two

Step-by-step explanation:

.

5 0

3 years ago

How do you find the radius of a circle with a circumference of 35π yards?

Tpy6a [65]

Answer:

r ≈ 5.57

Please mark as brainliest

Have a blessed day

4 0

3 years ago

Read 2 more answers

3400 dollars is placed in an account with an annual interest rate of 8. 25%. How much will be in the account after 25 years, to

OLEGan [10]

The final amount in the account after 25 years is $24670.42.

<h3>How do you calculate the final Amount after 25 Years?</h3>

Given that 3400 dollars are placed in an account with an annual interest rate of 8.25% for 25 years.

The final amount in the account is calculated by the formula given below.

$A = P ( 1 + \dfrac {R}{100})^T$

Where A is the final amount, P is the initial principal balance, R is the interest rate, T is the time period.

The final amount is given below.

$A = 3400 ( 1 + \dfrac {8.25}{100})^{25}$

$A = 3400 (7.256005874)$

$A = 24670.41997= 24570.42$

Hence we can conclude that the final amount in the account after 25 years is $24670.42.

To know more about the compound interest, follow the link given below.

brainly.com/question/25857212.

5 0

3 years ago

Read 2 more answers