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2 years ago

A scuba diver descends from the surface at a rate of 38 feet per minute

Mathematics

1 answer:

Bezzdna [24]2 years ago

3 0

38+38+38=114 Hoped this helped

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What is the length of AB? Please help so I can graduate thanks!!

4vir4ik [10]

HOPE it helps!!!!!!!!

5 0

3 years ago

Three times the smaller of two consecutive odd integers is the same as 116 less than 5 times the larger integer find the integer

Marysya12 [62]

Let x and x+2 be there integers. then
3x=5(x+2)-116
3x=5x+10-116
2x=106
x=53
numbers are 53 and 55

7 0

3 years ago

Solve the linear equation <br> 5x-10y=-5

IceJOKER [234]

ANSWER WITH STEPS:

Let's solve for x.

5x−10y=−5

Step 1: Add 10y to both sides.

5x−10y+10y=−5+10y

5x=10y−5

Step 2: Divide both sides by 5.

10y−5

x=2y−1

6 0

2 years ago

I'm studying a new bacteria that doubles in numbers every 25 minutes. If i start with 50 bacteria, how long until i have 5 milli

dimaraw [331]

Answer:

415.63 minutes

Step-by-step explanation:

Growth can be represented by the equation $A=A_0e^{rt}$ . We can find the rate at which it grows by using t=25 minutes and $\frac{A_{0}}{A} =2$ or double the amount at that time. The first step we always take is to divide $A_0$ by A.

$[tex]\frac{A_{0}}{A}=e^{rt}\\2=e^{r(25)}$

$2=e^{(25)r}$

To solve for r, we will take the natural log of both sides and use log rules to isolate r.

$ln 2=ln e^{(25)r}\\ln 2=25r (ln e)\\\frac{ln2}{25} =r$

We know $lne=1$ so we were able to cancel it out and divide both sides by 25.

We solve with a calculator $\frac{ln2}{25} =r\\0.0277=r$

We change 0.0277 into a percent by multiplying by 100 to get 2.77% as the rate.

The equation is $A=A_0e^{0.0277t}$ .

We repeat the step above substituting A=5,000,000, $A_0$ =50, and r=0.02777. Then solve for t.

$5000000=50e^{0.0277t}\\\frac{5000000}{50} =e^{0.0277t}\\100000=e^{0.0277t}\\ln100000=lne^{0.0277t}\\ln100000=0.02777t(lne)\\\frac{ln100000}{0.0277} =t$