All categories

3 years ago

Plz help!!!!!!!!!!!!

Mathematics

1 answer:

Usimov [2.4K]3 years ago

3 0

Answer: $\bold{8\sqrt[5]{8} }$

<u>Step-by-step explanation:</u>

$64^{\frac{3}{5}}\\\\=2^{6(\frac{3}{5})}\\\\=2^{\frac{18}{5}}\\\\=2^{\frac{15}{5}}\cdot 2^{\frac{3}{5}}\\\\=2^3\cdot \sqrt[5]{2^3} \\\\=\boxed{8\sqrt[5]{8} }$

You might be interested in

an airline allows each passenger to have a suitcase weighing no more than 45 ibs if hank needs to lower his suitcase weight by 4

Lerok [7]

The bag weighed 75 pounds

Hope this helps!

7 0

3 years ago

Read 2 more answers

Factor the expression. 6x^2 + 5x + 1

Whitepunk [10]

Answer:

Option C

Step-by-step explanation:

6x² +5x + 1

6x² + 3x + 2x + 1

3x(2x + 1) + 1(2x + 1)

(3x + 1)(2x + 1)

6 0

3 years ago

Read 2 more answers

How do you solve these problems?

Rzqust [24]

A)

$\bf log_4(x)=3\\\\
-----------------------------\\\\
log_{{ a}}{{ a}}^x\implies x\qquad \qquad 
\boxed{{{ a}}^{log_{{ a}}x}=x}\impliedby 
\begin{array}{llll}
\textit{we'll use this}\\
\textit{cancellation rule}
\end{array}\\\\
-----------------------------\\\\
4^{\cfrac{}{}log_4(x)}=4^3\implies x=4^3$

b)

$\bf 3^{2y}=81\qquad 
\begin{cases}
81=3\cdot 3\cdot 3\cdot 3\\
\qquad 3^4
\end{cases}\implies 3^{2y}=3^4\impliedby 
\begin{array}{llll}
\textit{same base}\\
exponents\\
must\ be\\
the\ same
\end{array}
\\\\\\
2y=4\implies y=\cfrac{4}{2}\implies y=2$

6 0

4 years ago

In 10 years, a bank account with a 5.25% annual interest rate earned $18,375 as simple interest. What was the principal amount?

sdas [7]

Answer:

The principal amont was $35,000

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

In this problem, we have that:

$E = 18375, t = 10, I = 0.0525$

We want to find P. So

$E = P*I*t$

$18375 = P*0.0525*10$

$0.525P = 18375$

$P = \frac{18375}{0.525}$

$P = 35000$

The principal amont was $35,000

5 0

3 years ago

A jar of marbles contains 7 blue marbles, 12 yellow marbles, 8 green marbles, and 5 red marbles. Use this information to answer

AnnZ [28]

Total marbles = 7 + 12 + 8 + 5 = 32
Green marbles = 8
Yellow marbles = 12

P(green ,then yellow) = (8/32)(12/32) = 3/32

Answer: The probability is 3/32

8 0

3 years ago