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3 years ago

Jose practiced piano 5 days this week. He practiced 3/4 of an hour each day.

2 answers:

6 0

I like working with decimals better so I changed 3/4 to a fraction by dividing 3 by 4. I get 0.75.

Multiply 0.75 by 5 and you will get 3.75. Now remember it’s time so 0.75 of an hour is 45 minutes.

The answer is 3 hours and 45 minutes.

emmainna [20.7K]3 years ago

3 0

Answer:

3 hours and 15 min is how long he practiced

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. Anne is pushing a wheelbarrow filled with mulch to place in her garden. She is pushing the wheelbarrow with a force of 70 N at

Kruka [31]

Answer:

When Anne pushes the wheelbarrow 25 meters the work done is 1120 joules

Solution:

We know $\text { Work }(\mathrm{W})=\text { Force }(\mathrm{F})\times\text { Distance (D) }$

Anne is pushing the wheelbarrow with a force of 70 N at an angle of $50^{\circ}$ with the horizontal

So the force of Anne will be $F=70 \cos 50^{\circ}=(70 \times 0.64)=44.8 \mathrm{N}$

She pushes the wheelbarrow 25 meter, So D = 25 meters

So, the $work,F\times D=(44.8 \times 25)=1120 \text { Joules }$

Anne has done total 1120 joules work.

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3 years ago

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Ne4ueva [31]

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3 years ago

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daser333 [38]

Answer:

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3 years ago

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A bacteria culture starts with 12,000 bacteria and the number doubles every 50 minutes.

Vlada [557]

Answer:

a) $y=12000(2)^{\frac{t}{50}}$

b) Approx. 27,569 bacteria

c) About 103 minutes

Step-by-step explanation:

This will follow exponential modelling with form of equation shown below:

$y=Ab^{\frac{t}{n}}$

Where

A is the initial amount (here, 12000)

b is the growth factor (double, so growth factor is "2")

n is the number of minutes in which it doubles, so n = 50

Substituting, we get our formula:

$y=Ab^{\frac{t}{n}}\\y=12000(2)^{\frac{t}{50}}$

To get number of bacteria after 1 hour, we have to plug in the time into "t" of the formula we wrote earlier.

Remember, t is in minutes, so

1 hour = 60 minutes

t = 60

Substituting, we get:

$y=12000(2)^{\frac{t}{50}}\\y=12000(2)^{\frac{60}{50}}\\y=12000(2)^{\frac{6}{5}}\\y=27,568.76$

The number of bacteria after 1 hour would approximate be 27,569 bacteria

To get TIME to go to 50,000 bacteria, we will substitute 50,000 into "y" of the equation and solve the equation using natural logarithms to get t. Shown below:

$y=12000(2)^{\frac{t}{50}}\\50,000=12,000(2)^{\frac{t}{50}}\\4.17=2^{\frac{t}{50}}\\Ln(4.17)=Ln(2^{\frac{t}{50}})\\Ln(4.17)=\frac{t}{50}*Ln(2)\\\frac{t}{50}=\frac{Ln(4.17)}{Ln(2)}\\\frac{t}{50}=2.06\\t=103$

After about 103 minutes, there will be 50,000 bacteria

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3 years ago

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Alexxandr [17]

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3 years ago

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