valentina krasniqi

2022-04-30

problem 1)4e^2x+10=18

problem 2)27^n+1=(⅓)^4n-1

problem 3)The population of a town is increasing at a rate of 4.5% per year. The city council believes it

will have to add another school when the population reaches 150,000 people. Currently, there are

50,000 people living in this town. How long will it be before they need to build this school to the

nearest tenth of a year? Solve algebraically using logarithms.

PLEASE HELP MEE PLEASEE

karton

Expert2022-07-07Added 613 answers

1) $4{e}^{2x}+10=18$

Move all terms not containing x$x$ to the right side of the equation.

$4{e}^{2x}=8$

Divide each term in $4{e}^{2x}=8$ by $4$ and simplify.

${e}^{2x}=2$

Take the natural logarithm of both sides of the equation to remove the variable from the exponent.

$\mathrm{ln}\left({e}^{2x}\right)=\mathrm{ln}\left(2\right)$

Expand the left side.

$2x=\mathrm{ln}\left(2\right)$

Divide each term in $2x=\mathrm{ln}\left(2\right)$ by $2$ and simplify.

$x=\frac{\mathrm{ln}\left(2\right)}{2}$

The result can be shown in multiple forms.

Exact Form:

$x=\frac{\mathrm{ln}\left(2\right)}{2}$

Decimal Form:

x=0.34657359...

$\frac{20b}{{\left(4{b}^{3}\right)}^{3}}$

Which operation could we perform in order to find the number of milliseconds in a year??

$60\cdot 60\cdot 24\cdot 7\cdot 365$ $1000\cdot 60\cdot 60\cdot 24\cdot 365$ $24\cdot 60\cdot 100\cdot 7\cdot 52$ $1000\cdot 60\cdot 24\cdot 7\cdot 52?$ Tell about the meaning of Sxx and Sxy in simple linear regression,, especially the meaning of those formulas

Is the number 7356 divisible by 12? Also find the remainder.

A) No

B) 0

C) Yes

D) 6What is a positive integer?

Determine the value of k if the remainder is 3 given $({x}^{3}+k{x}^{2}+x+5)\xf7(x+2)$

Is $41$ a prime number?

What is the square root of $98$?

Is the sum of two prime numbers is always even?

149600000000 is equal to

A)$1.496\times {10}^{11}$

B)$1.496\times {10}^{10}$

C)$1.496\times {10}^{12}$

D)$1.496\times {10}^{8}$Find the value of$\mathrm{log}1$ to the base $3$ ?

What is the square root of 3 divided by 2 .

write $\sqrt[5]{{\left(7x\right)}^{4}}$ as an equivalent expression using a fractional exponent.

simplify $\sqrt{125n}$

What is the square root of $\frac{144}{169}$