All categories

2 years ago

Which exponential expression is equivalent to the one below?

Mathematics

1 answer:

OverLord2011 [107]2 years ago

4 0

Answer:

The answer is A.

Step-by-step explanation:

You have to elaborate it :

${(54 \times ( - 13))}^{66}$

$= {(54)}^{66} \times {( - 13)}^{66}$

You might be interested in

Jim Ryan, an owner of a Burger King restaurant, assumes that his restaurant will need a new roof in 7 years. He estimates the ro

Lelu [443]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\to &\$9000\\
P=\textit{original amount deposited}\\
r=rate\to 6\%\to \frac{6}{100}\to &0.06\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, thus four}
\end{array}\to &4\\
t=years\to &7
\end{cases}
\\\\\\
9000=P\left(1+\frac{0.06}{4}\right)^{4\cdot 7}\implies 9000=P(1.015)^{28}\implies \cfrac{9000}{1.015^{28}}=P$

6 0

2 years ago

The picture below shows a box sliding down a ramp:

Gennadij [26K]

Answer:

$AC=15.1\ ft$

Step-by-step explanation:

we know that

In the right triangle ABC

The function sine of angle 68 degrees is equal to divide the opposite side SB by the hypotenuse AC

$sin(68\°)=\frac{AB}{AC}$

substitute the values and solve for AC

$sin(68\°)=\frac{14}{AC}$

$AC=\frac{14}{sin(68\°)}$

$AC=15.1\ ft$

4 0

2 years ago

1. Which formula defines the sequence f(1)=2, f(2)= 6, f(3)= 10, f(4)= 14, f(5)= 18?

Natasha_Volkova [10]

Answer:

$f(n) =4 + f(n-1) \\for\ n>2$

Step-by-step explanation:

Given

$f(1)=2\\ f(2)= 6\\ f(3)= 10\\ f(4)= 14\\ f(5)= 18$

Required

Determine the formula

First, we need to solve common difference (d)

$d = f(n) - f(n-1)$

Take n as 2

$d = f(2) - f(2-1)$

$d = 6 - 2$

$d = 4$

Represent each function as a sum of the previous

$f(1) = 2$

$f(2) = 2 + 4 = f(1) + 4$

$f(3) = 6 + 4 = f(2) + 4$

$f(4) = 10 + 4 = f(3) + 4$

$f(5) = 14 + 4 = f(4) + 4$

Represent the function as $f(n)$

$f(n) =f(n-1) + 4$

Reorder

$f(n) =4 + f(n-1) \\for\ n>2$

7 0

2 years ago

(iii) Find the smallest whole number h such that<br>4704/h<br>is a cube number.<br>

yan [13]

Answer:

$h=588$

Step-by-step explanation:

Given the fraction $\dfrac{4,704}{h}$

Consider its numerator and factor it:

$4,704=2^5\cdot 3\cdot 7^2$

You cann not take the cube root from $3, 7^2, 2^5,$ you can only take the cube root from $2^3$ , then the smallest whole number $h$ such that $\dfrac{4,704}{h}$ is a cube number is