All categories

3 years ago

If x^2y^3=10 and x^3y^2=8, what is the value of x^5y^5

Mathematics

1 answer:

arlik [135]3 years ago

3 0

Answer:

80.

Step-by-step explanation:

x^2y^3 * x^3y^2

= x^(2+3)y^(3+2)

= x^5y^5 and as x^2y^3 = 10 and x^3y^2 = 8 we have:

10 * 8

= 80.

You might be interested in

The Lynx star middle linebacker, Nat, is paid $500,000. He is guaranteed a 25% raise for each of the next three years. What will

shutvik [7]

Answer:

Nat's salary after 3 years = 976562.5 $

Explanation:

Salary of Nat = $500,000

Raise in salary for next three years = 25 % = 0.25

Salary of Nat after 1 year = 500,000 + 0.25 * 500,000 = 625000 $

Salary of Nat after 2 years = 625000 + 0.25 * 625000 = 781250 $

Salary of Nat after 3 years = 781250 + 0.25 * 781250 = 976562.5 $

So, Nat's salary after 3 years = 976562.5 $

Easy Method;

No of years considering = 3

Initial salary = $500,000

Rate of increase = 0.25

Final salary $= 500,000(1+0.25)^3=976562.5$ $

Nat's salary after 3 years = 976562.5 $

3 0

3 years ago

If no (A) = 40%, no (B) = 30%, n (A∩B) = 20% then find n (<br> (A B)<br> using formula.

Vesnalui [34]

Answer:

solution:-We know that for any two finite sets A and B, n(A∪B)=n(A)+n(B)−n(A∩B).

Here, it is given that n(A)=20,n(B)=30 and n(A∪B)=40, therefore,

n(A∪B)=n(A)+n(B)−n(A∩B)

⇒40=20+30−n(A∩B)

⇒40=50−n(A∩B)

⇒n(A∩B)=50−40

⇒n(A∩B)=10

Hence, n(A∩B)=10

Step-by-step explanation:

hope it helps you friend ☺️

8 0

2 years ago

Read 2 more answers

Which of the following correctly uses absolute value to show the distance between –80 and 15?

scoray [572]

It should be |-80+15|=65 units because absolute value makes it positive.

4 0

3 years ago

The matrix C=[1,-2_-3,7] was used to encode a phrase to [7,-28,-25,-35,-2_-21,107,90,123,17]. Find C^-1 and use it to decode the

posledela

$C= \left[\begin{array}{cc}1&-2\\-3&7\end{array}\right] \\ C^{-1}= \left[\begin{array}{cc}7&2\\3&1\end{array}\right] \\ \left[\begin{array}{cc}7&2\\3&1\end{array}\right] \times \left[\begin{array}{ccccc}7&-28&-25&-35&-2\\-21&107&90&123&17\end{array}\right] \\ =\left[\begin{array}{ccccc}49-42&-196+214&-175+180&-245+246&-14+34\\21-21&-84+107&-75+90&-105+123&-6+17\end{array}\right] \\ =\left[\begin{array}{ccccc}7&18&5&1&20\\0&23&15&18&11\end{array}\right]$
is the required matrix.

6 0

3 years ago

(07.01) Which of the values for x and y make the equation 3x + 4y + 6 = 26 true? (4 points) x = 4, y = 2 x = 5, y = 6 x = 4, y =

Genrish500 [490]

Answer:

x = 4, and y = 2

I took the test and got this right!!

Step-by-step explanation:

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

12 + 8 + 6 = 26

Please mark brainliest!

8 0

3 years ago

Read 2 more answers