Help please x = 4 7 9

vlada-n [284]

$\bf h=20ln(3t+2)+30\\\\
-------------------------------\\\\
\boxed{a}\\\\
\stackrel{0~years}{t=0}\qquad h=20ln[3(0)+2]+30\implies h=20ln(2)+30
\\\\\\
h\approx 43.86
\\\\\\
\boxed{b}\\\\
\stackrel{1~meter}{h=100}\qquad 100=20ln(3t+2)+30\implies 70=20ln(3t+2)
\\\\\\
\cfrac{70}{20}=ln(3t+2)\implies \stackrel{\textit{log cancellation rule}}{e^{\frac{7}{2}}=e^{ln(3t+2)}}\implies e^{\frac{7}{2}}=3t+2
\\\\\\
e^{\frac{7}{2}}-2=3t\implies \cfrac{e^{\frac{7}{2}}-2}{3}=t\implies 10.371817\approx t$

$\bf \boxed{c}\\\\
\cfrac{dh}{dt}=20\left(\cfrac{1}{3t+2}\cdot 3 \right)+0\implies \cfrac{dh}{dt}=20\left(\cfrac{3}{3t+2} \right)\\\\\\ \cfrac{dh}{dt}=\cfrac{60}{3t+2}
\\\\\\
\left. \cfrac{dh}{dt} \right|_{3}\implies \cfrac{60}{3(3)+2}\implies \cfrac{60}{11}
\\\\\\
\left. \cfrac{dh}{dt} \right|_{10}\implies \cfrac{60}{3(10)+2}\implies \cfrac{15}{8}$

5 0

3 years ago

Read 2 more answers

Which of the following would you expect to find on a monthly account statement?

timama [110]

The answer is D
here's your answer

6 0

3 years ago

Read 2 more answers

HELP PLZZZ Write an equation For the line in standard form

Tamiku [17]

Answer:

6x -5y

Step-by-step explanation:

saw it on the picture on there

4 0

2 years ago

Leon earned $14 an hour. How much does he earn in 4 weeks if he works 12 hours each week

Mumz [18]

12*14=168*4=672 dollars the answer to the equation.

8 0

3 years ago

Anna is paid $15.00 per hour. She works a long 12 hour shift, the last 4 hours being paid a double time pay rate.

balu736 [363]

Answer: $\Large\boxed{Wage=\$240}$

Step-by-step explanation:

Given information

Paid = $15.00 / hour

Paid (Last 4 hours) = Doubled the usual pay rate

Total hour = 12 hours

Given expression

Wage = Pay rate × hours except for the last 4 hours + Double Pay rate × 4 hours

Substitute values into the expression

Wage = (15) × (12 - 4) + (15 × 2) × (4)

Simplify values in the parenthesis

Wage = 15 × 8 + 30 × 4

Simplify by multiplication

Wage = 120 + 120

Simplify by addition

$\Large\boxed{Wage=\$240}$

Hope this helps!! :)

Please let me know if you have any questions

7 0

1 year ago