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3 years ago

Write the log equation as an exponential equation. Log9 (2x-7) = 2x-3

Mathematics

1 answer:

antiseptic1488 [7]3 years ago

5 0

Answer:

Step-by-step explanation:

they = to the same thing

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What is the fourth term in the binomial expansion (a+b)^6)

Dafna11 [192]

Answer:

$20a^3b^3$

Step-by-step explanation:

<u>Binomial Series</u>

$(a+b)^n=a^n+\dfrac{n!}{1!(n-1)!}a^{n-1}b+\dfrac{n!}{2!(n-2)!}a^{n-2}b^2+...+\dfrac{n!}{r!(n-r)!}a^{n-r}b^r+...+b^n$

<u>Factorial</u> is denoted by an exclamation mark "!" placed after the number. It means to multiply all whole numbers from the given number down to 1.

Example: 4! = 4 × 3 × 2 × 1

Therefore, the fourth term in the binomial expansion (a + b)⁶ is:

$\implies \dfrac{n!}{3!(n-3)!}a^{n-3}b^3$

$\implies \dfrac{6!}{3!(6-3)!}a^{6-3}b^3$

$\implies \dfrac{6!}{3!3!}a^{3}b^3$

$\implies \left(\dfrac{6 \times 5 \times 4 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}{3 \times 2 \times 1 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}\right)a^{3}b^3$

$\implies \left(\dfrac{120}{6}\right)a^{3}b^3$

$\implies 20a^3b^3$

7 0

2 years ago

PLEASE SOMEBODY HELP ASAP

Akimi4 [234]

Answer:

the probability of the dice is 1/6 and the probability of the spinner is 1/4.

Step-by-step explanation:

the probability of the dice=E/S=E=1 and S=6 because it is one dice. so P=1/6.

the probability of the spinner=E/S=E=1 and S=4 because the spinner is divided into 4. so P=1/4

5 0

3 years ago

Assuming that n 1 , rewrite the compound interest equation B t 900 1.185 t in the general form.

Rufina [12.5K]

$\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\\
r=rate\to r\%\to \frac{r}{100}\\
n=
\begin{array}{llll}
\textit{times it compounds per year}
\end{array}\\
t=year
\end{cases}$

$\bf 1.185\implies 1+0.185\qquad\quad and\quad n=1
\\\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}\implies A=P\left(1+0.185\right)^{nt}\implies A=P\left(1+\frac{0.185}{1}\right)^{1\cdot t}$

so, the percentage of the rate is 0.185, what's that as a percentage? well, 0.185 * 100, 18.5%.

3 0

3 years ago

I need more help this is so bad

REY [17]

Answer:

perimeter of square=4×side

perimeter of square =4×13cm

perimeter of square = 52cm

area of square = side²

area of square = (13cm)²

area of square = 169cm²

3 0

2 years ago

Read 2 more answers

Which of the following is a true polynomial identity?

AlladinOne [14]

C or d i think is the correct answer

5 0

3 years ago