$3+3\sqrt[6]{x}~~ = ~~5\implies \stackrel{\textit{1st step,-3 to both sides}}{3\sqrt[6]{x}~~ = ~~2}\implies \sqrt[6]{x}=\cfrac{2}{3} \\\\\\ (\sqrt[6]{x})^6=\left( \cfrac{2}{3} \right)^6\implies x=\cfrac{2^6}{3^6}\implies x=\cfrac{64}{729}$

6 0

2 years ago

What is the x-intercept of the line with this equation 1/3x+y= -15?<br><br> (_,0)

Sidana [21]

( - 45, 0)

to find the x-intercept let y = 0 in the equation

x = 0 → $\frac{1}{3}$ x = - 15

multiply both sides by 3

x = 3 × - 15 = - 45

x-intercept = ( - 45, 0)

4 0

3 years ago

A particular type of mold is growing 9.7% per hour. Assuming that mold growth continues at this rate and there were 14,000 spore

nydimaria [60]

Total mold spores at end of 9.30 am is 26901.

Step-by-step explanation:

Number of molds = 14000

Rate = 9.7% per hour

Number of hours = 12 am to 9.30 am = 9 $\frac{1}{2}$ hours

Growth of mold = 14000 * 9.7% * 9 $\frac{1}{2}$

= 12901

Total mold spores at end of 9.30 am = 14000 + 12901

= 26901

Hence, the expected number of mold spores at 9.30 am is 26901.

7 0

2 years ago