Points x and z are on a number line, and point y partitions
line xz into two parts so that the ratio of the length of line
segment xy to the length of line segment yz is 5: 7. the
coordinate of x is 0.4, and the coordinate of y is 5.8. what
is the coordinate of z?

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!

e^-kt = n/n0 = 0.79  

-kt = ln 0.79  

t = - ln 0.79/0.0001  

= 2357 years

step-by-step explanation:

use distributive property on all like terms and change your signs if you have a double negative or if you have positive/negative

just took the test and my answers down below!

step-by-step explanation:

check the pic :