Giving 45 points! I need help!

Someone help me please

galben [10]

Answer:

∛27 = 3

Step-by-step explanation:

A radical is simply a fractional exponent: $a^{(\frac{m}{n})} = \sqrt[n]{a^{m} }$

Hence, ∛27 = $27^{(\frac{1}{3})}$

Since 27 = 3³, then:

You could rewrite ∛27 as ∛(3)³.

$\sqrt[3]{3^{(3)} } = 3^{[(3)*(\frac{1}{3})]}$

Multiplying the fractional exponents (3 × 1/3) will result in 1 (because 3 is the multiplicative inverse of 1/3). The multiplicative inverse of a number is defined as a number which when multiplied by the original number gives the product as 1.

Therefore, ∛27 = 3.

3 0

2 years ago

Read 2 more answers

What is the exponential regression equation that fits these data?

zlopas [31]

Answer:

Option B) $y = (1.31)(2.8^{x})$ is the correct option.

Step-by-step explanation:

Exponential function is the one where, a constant is raised to the power of x, a independent variable.

Here, only option B and D are such exponential functions, while option A is linear and option C is quadratic in nature.

Now, to verify which option is correct, we will input the values and check which has the least difference between the given values.

Or we can use the cost function,

$J = \frac{((y(i))-y)^2}{2m}$ , to find which function has the least error.

By applying the above results,we find Option B is correct.

6 0

2 years ago

Read 2 more answers

Find 4 consecutive even integers such that when three times the smallest of the intagers is added to twice the largest their sum

zhannawk [14.2K]

If x is the first of the integers then the statement is:

(x) , (x+2) , (x+4) , (x+6)

This means that the smallest is x and the largest is x + 6

so:
3(x) + 2(x+6) = 293
3x + 2x + 12 = 293
5x = 281
x = 56.2
This gives us a none integer (decimal)
What now?

Wait remember how x started as the lowest? what if x was the highest instead?

x, x-2, x-4, x-6
so:

3(x-6) + 2(x) = 293
5x = 315
x = 62.2

This is as close as have gotten to the answer
Cant seem to get an integer.
Maybe error in the question or some bad math on my part.

3 0

3 years ago

Someone please help thanks!!!

MArishka [77]

Answer:

-3/2

Step-by-step explanation:

The slope of a line is calculated by dividing the difference in the y-coordinates by the difference in the x-coordinates.

Here, the given ordered pairs are (-6, -8) and (-14, 4), so the slope is:

slope = m = (4 - (-8)) / (-14 - (-6)) = 12 / (-8) = -3/2

The answer is thus -3/2.

~ an aesthetics lover