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3 years ago

Please Help, what is the answer

Mathematics

1 answer:

Butoxors [25]3 years ago

5 0

Answer:

The correct option is (2).

Step-by-step explanation:

We need to find the value of the given expression i.e.

$\dfrac{(8x^6)^2}{(4x^2)^3}$

We can calculate it as follows :

$\dfrac{(8x^6)^2}{(4x^2)^3}=\dfrac{8^2\times (x^6)^2}{(4)^3\times (x^2)^3}\\\\=\dfrac{x^{12}}{x^6}\\\\=x^6$

So, the final answer is x⁶. The correct option is (2).

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What does n equal if /frac{1}{3}=n+ /frac{3}{4}

Hitman42 [59]

$\dfrac{1}{3}=n+ \dfrac{3}{4}$

$n = \dfrac{1}{3} -\dfrac{3}{4}$

$n = \dfrac{1 \times 4}{3 \times 4} -\dfrac{3 \times 3}{4 \times3}$

$n = \dfrac{4}{12} -\dfrac{9}{12}$

$n = -\dfrac{5}{12}$

5 0

3 years ago

You want to buy a new car. You can afford payments of $300 per month and can borrow the money at an interest rate of 5.2% compou

Vikki [24]

Answer:

$367.17

Step-by-step explanation:

we are find the cost of the car after 5 years

Using the compound interest formula;

A = P(1+r/n)^nt

Given

Principal P = $300

rate r = 5.2% = 0.052

Time t = 5years

Time of compounding n = 1/12 (monthly)

Substitute into the formula

A = 300(1+0.052(12))^5(1/12)

A = 300(1+0.624)^0.4167

A = 300(1.624)^0.4167

A = 300(1.2239)

A = 367.17

hence the amount of the car after 5years is $367.17

7 0

3 years ago

If f(x)=2x-6 and g(x)=x^3 what is (g f)(0)

kow [346]

<h2>Hello!</h2>

The answer is:

$(g\circ f)(0)=-216$

To composite functions, we need to evaluate functions in another function(s), for example:

Given f(x) and g(x), if we want to calculate f(x) composite g(x), we need to evaluate g(x) into f(x).

So, we are given the functions:

$f(x)=2x-6\\g(x)=x^{3}$

And we are asked to calculate g(x) composite f(x), and then evaluate "x" to 0, so, calculating we have:

$(g\circ f)(x)=g(f(x))\\\\(g\circ f)(x)=(2x-6)^{3}$

Now that we have the composite function, we need to evaluate "x" equal to 0, so:

$(g\circ f)(0)=(2x-6)^{3}\\\\(g\circ f)(0)=(2*(0)-6)^{3}=(0-6)^{3}=-6*-6*-6=-216$

Hence, we have that:

$(g\circ f)(0)=-216$

Have a nice day!

6 0

4 years ago

Eugene borrows $250 at a 4% annual interest rate. If he does not make any payments, how much simple interest will he owe in 18 m

Wewaii [24]

Answer:

$265

Step-by-step explanation:

We can use the simple interest formula for this:

$A = P (1 + rt)$

<em>P = initial balance</em>

<em>r = annual interest rate</em>

<em />

First, change 4% into its decimal form:

4% -> $\frac{4}{100}$ -> 0.04

Next, we need to change the annual interest rate to 1.5 since 18 months is 1.5 years. Now plug in the values:

$A=250(1+(0.04)(1.5))$

$A=265$

Eugene owes $265 of interest.

8 0

3 years ago

I WILL GIVE BRANLIEST IMAGE BELOW

mixas84 [53]

Answer

potonium

Step-by-step explanation:

8 0

2 years ago