All categories

3 years ago

Question on pic attached

Mathematics

1 answer:

garri49 [273]3 years ago

8 0

As given,

x^a = 2

x^b = 3

Now we have to find x^( 2a + 3b)

= x^2a . x^3b

= 2^2. 3^3

= 4× 27

= 108

You might be interested in

You deposit $2000 in an account earning 6% interest compounded monthly. How much will you have in the account in 15 years?

Zepler [3.9K]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2000\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &15 \end{cases} \\\\\\ A=2000\left(1+\frac{0.06}{12}\right)^{12\cdot 15}\implies A=2000(1.005)^{180}\implies A\approx 4908.19$

7 0

4 years ago

Study the box plot shown. Then enter numbers for each of the values below

Luda [366]

Answer:

Median: 16

Q1: 15

Q3: 18

Minimum: 12

Hope this helps! Please mark as brainliest!

8 0

3 years ago

The ratio of the ages of Mandy and Sandy is 2:5. After 8 years, their ages will be in the ratio 1:2. What is the difference betw

Alchen [17]

Let $x$ represent Mandy's age and $y$ represent Sandy's.

From the first statement we have:
$5x=2y$

From the second statement we have:
$2*(x + 8) = 1*(y + 8)$

So we need to solve this system of equations:
$\left \{ {{5x=2y} \atop {2(x+8)=y+8}} \right.$

Express $y$ from first equation equation:
$2y=5x$
$y=\frac{5}{2}x$

Replace found value in second equation and solve the resulting equation:
$2(x+8)=\frac{5}{2}x+8$
$2x+16=\frac{5}{2}x+8$
$2x-\frac{5}{2}x=8-16$
$-\frac{1}{2}x=-8$
$\frac{1}{2}x=8$
$x=8*2=16$

Replace found value in first equation and solve the resulting equation:
$5*16=2y$
$2y=80$
$y=40$

So, Mandy is 16 years old and Sandy is 40 years old. The difference between their ages is 40 - 16 = 24 years.

6 0

4 years ago

What is the mean for the set of data?

Lady_Fox [76]

Answer:

the mean is 3

Pls mark Brainliest :)

Step-by-step explanation:

8 0

3 years ago

How do you find the hypotenuse of a triangle?

Ahat [919]

The hypotenuse is the longest side of the triangle and also the one that is across from the ninety degree angle.

3 0

4 years ago