All categories

3 years ago

Fractional indices pls help

Mathematics

1 answer:

bulgar [2K]3 years ago

5 0

Answer:

Formula used :

(a^m)^n = a^(m×n)
a^m × a^n = a^(m+n)

$27 \times {9}^{3x} = {3}^{k} \\ {3}^{3} \times { {(3}^{2}) }^{3x} = {3}^{k} \\ {3}^{k} = {3}^{3} \times {3}^{(2 \times 3x)} \\ {3}^{k} = {3}^{3} \times {3}^{6x} \\ {3}^{k} = {3}^{(6x + 3)} \\ \boxed{k = 6x + 3}$

k = (6x+3) is the right answer.

You might be interested in

25 points BRAINLIEST The sum of two numbers is 18. The sum of the greater number and twice the smaller number is 25. Find the nu

Mamont248 [21]

Answer:

11 and 7.

Step-by-step explanation:

7 + 11 = 18

7 times 2 is 14 and 14 + 11 = 25

6 0

3 years ago

Determine the value c so that each of the following

Levart [38]

This can help you

a) since it is discrete we need to think about the sum thing it it was continuous we would look at an integral thing so I think if I remember correctly we need to find c such that ∑i=03c(x2+4)=1
b) problem b is a similar setup

4 0

4 years ago

Find the area of circle o if DCBO is a rectangle and DB measure 10 units

Dmitrij [34]

Answer:

$100\pi$

Step-by-step explanation:

Step 1: Identity the radius.

Since O is the center of the circle, and C and E lie on the circumference, OC and OE are the radii of the circle and thus,

OC=OE.

Step 2: Consider the rectangle.

All diagonals in a rectangle are congruent so this means

DB= OC ( OC is also a diagonal).

Thus, OC= 10 units.

Step 3: Analyze

So this means OE is also 10 units as well.

Since we know the length of the radius, Use the area of circle,

$\pi {r}^{2}$

$\pi( {10}^{2} ) = 100\pi$

So the area of a circle is 100 pi.

3 0

2 years ago

Read 2 more answers

What type of triangle has exactly two acute triangles

Sveta_85 [38]

Answer: A right triangle.

Step-by-step explanation:

This is because an acute triangle would have all of its three sides acute while an obtuse one would have two acute angles as well, but also an obtuse one. If the question is specifically asking for a triangle with exactly two acute angles, a right triangle would be the answer.

8 0

3 years ago

What is the inverse of this function? f(x)=-1/2 square root of x+3, x > -3

yuradex [85]

The inverse function of $f(x) = -\frac 12\sqrt{x + 3}$ is $f^{-1}(x) = 4x^2- 3$