All categories

3 years ago

(2/3)^4= am very confuse guys help!!!

Mathematics

1 answer:

tino4ka555 [31]3 years ago

4 0

Answer:

16/81

Step-by-step explanation:

Lets break it down

When you see ^4, you are multiplying the base ( 2/3 ) by itself 4 times

So lets write the equation

$\frac{2}{3} *\frac{2}{3} *\frac{2}{3} *\frac{2}{3} = x\\$

$\frac{4}{9} *\frac{4}{9} =x$

$\frac{16}{81} =x\\x= \frac{16}{81}$

If my answer is wrong pls correct me.

If you like my answer and explanation then please mark me as Brainliest!

-Chetan K

You might be interested in

Use the factors of the function and the y-intercept to find the standard form of the equation representing Jared’s function. Typ

Georgia [21]

The y-intercept of a function is the point where the graph crosses the $\mathbf{y = x^3 + 2x^2 - 193x - 270 }$

The factors of the Jared's graph are: (x - 10), (x + 3) and (x + 9)
The y-intercept is -13.5
The standard equation of the function is: $\mathbf{y = x^3 + 2x^2 - 193x - 270 }$

(a) The factors

First, we write out the points where the function cross the x-axis.

The points are:

$\mathbf{x = 10}$

$\mathbf{x = -3}$

$\mathbf{x = -9}$

Equate the above points to 0

$\mathbf{x -10 = 0}$

$\mathbf{x +3 = 0}$

$\mathbf{x +9 = 0}$

Hence, the factors are: (x - 10), (x + 3) and (x + 9)

(b) The y-intercept

This is the point where the graph crosses the y-axis.

From the attached graph, the graph crosses the y-axis at -13.5.

Hence, the y-intercept is -13.5

(c) The standard form

In (a), we have:

$\mathbf{x -10 = 0}$

$\mathbf{x +3 = 0}$

$\mathbf{x +9 = 0}$

Multiply the above equations

$\mathbf{(x - 10) \times (x + 3) \times (x + 9) = 0 \times 0 \times 0}$

$\mathbf{(x - 10) \times (x + 3) \times (x + 9) = 0 }$

Expand

$\mathbf{(x - 10) \times (x^2 + 3x + 9x + 27) = 0 }$

$\mathbf{(x - 10) \times (x^2 + 12x + 27) = 0 }$

Expand

$\mathbf{x^3 + 12x^2 + 27x - 10x^2 - 220x - 270 = 0 }$

Collect like terms

$\mathbf{x^3 + 12x^2 - 10x^2+ 27x - 220x - 270 = 0 }$

$\mathbf{x^3 + 2x^2 - 193x - 270 = 0 }$

Replace 0 with y

$\mathbf{y = x^3 + 2x^2 - 193x - 270 }$

Hence, the standard form is: $\mathbf{y = x^3 + 2x^2 - 193x - 270 }$

Read more about graphs and functions at:

brainly.com/question/18806107

3 0

3 years ago

Finding the geometric mean

grigory [225]

Answer:

To find the geometric mean of two numbers, just find the product of those numbers and take the square root!

Step-by-step explanation:

4 0

2 years ago

PLSSS PLSSS HELP! After an injury, Greg's doctor advises him to slowly build up to his regular workout schedule, adding a certai

Nonamiya [84]

Answer:

Week 1: 10 Minutes

Week 10: 77.5 Minutes or 1 hour and 17.5 Minutes

Week n: 10 + 7.5n

Step-by-step explanation:

Every week, Greg adds another 7.5 minutes to his workout time. Week 1 starts off with 10 minutes and continuously adds 7.5 minutes until he gets to week three, which 10 + 7.5(2) = 25 minutes.

8 0

3 years ago

Math pls help dhsjdjdjdj

Aleks [24]

Answer:

2350 is 88.68% of 2650.

Step-by-step explanation:

2350/2650

hopefully, i'm right :)

6 0

3 years ago

Help me 15 points plz fast

yaroslaw [1]

Answer:

The two numbers marked on the number line are -5 and 7.

Two inequalities to compare the marked numbers on the number line:

-5 < 7 or 7 > -5

The written form of the two inequalities are:

-5 < 7 : Negative five is less than positive seven.

7 > -5 : Positive seven is greater than negative five.

6 0

3 years ago

Read 2 more answers