MATHEMATICS MIDDLE SCHOOL

Termeni unei adunari sunt 382 145 si 286 care este suma lor

Answers

Answer 1
Answer: 382+145+286=527+286=813

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3. A man of mass 80 kg standing at the top of a tallbuilding has 96000 J of G.P.E. How tall is the
building?

Answers

A man of mass of 80 kg standing at the top of a tall building has 96000 J of G.P.E. so, the height of the building would be 122 m.

What is Gravitational potential energy?

The gravitational potential energy is defined as the product of mass, acceleration due to gravity, and height.

PE = mgh

Given PE = 96000 J and m = 80 kg

PE = mgh

96000 J = (80 kg) (9.8 m/s²) h

h = 96000 / (80 kg) (9.8 m/s²)

h ≈ 122 m

Thus, The height is 122 m approximately.

Learn more about Gravitational potential energy;

brainly.com/question/3884855

Step-by-step explanation:

Gravitational potential energy is:

PE = mgh

Given PE = 96000 J and m = 80 kg:

96000 J = (80 kg) (9.8 m/s²) h

h ≈ 122 m

Round as needed.

The population P of a bacteria culture is modeled by P = 4100e^kt where t is the time inhours. If the population of the culture was 5800 after 40 hours, how long does it take for
the population to double? Round to the nearest tenth of an hour.

Show work please
A LOT OF POINTS

Answers

Enter the given values into the equation and solve.

5800 = 4100e^(k*40)

Divide both sides by 4100 and simplify:

58 / 41 = e^(k*40)

Remove e by taking the logarithm of both sides:

ln(58/41) = k *40

Divide both sides by 40:

k = ln(58/41)/40

k = 0.00867

Now for the population to double set up the equation:

2*4100 = 4100e^kt

The 4100 cancels out on both sides:

2 = e^kt

Take the logarithm of both sides:

ln(2) = k*t

Divide both sides by k

t = ln(2) /k

replace k with the value from above:

t = ln(2) / 0.00867

t = 79.95

Rounded to the nearest tenth = 80.0 hours to double.

Answer:

It would take around 122 hours to double the population.

Step-by-step explanation:

To answer the question, we first need to find the constant k, using the given information and the expression.

P=4100e^(kt) \n5800=4100e^(k(40)) \n(5800)/(4100)=e^(40k)\ne^(40k)=1.41\nlne^(40k)=ln1.41\n40k=0.34\nk=(0.34)/(40)\approx 0.0085

Now that we have the constant. We can find the time it would take to double the population which would be 11600:

P=4100e^(kt)\n11600=4100e^(0.0085t)\n(11600)/(4100)= e^(0.0085t)\ne^(0.0085t)=2.83\nlne^(0.0085t)=ln2.83\n0.0085t=1.04\nt=(1.04)/(0.0085)\approx 122.35

Therefore, it would take around 122 hours to double the population.

BRAINLIEST, THANKS, and a 5-STAR RATING IF YOU ANSWER! PLEASE HURRY!Nini's (me) grade average in Science is a 96.7%. She has a project that is due that is worth 10% of her grade. If she gets a 0% on the project, what is her new grade average?

This actually very important that I know immediately, so please answer soon!

Answers

Answer:

87.03%

Step-by-step explanation:

You have to find out how much is 10% of 96.7.

So 96.7 x 0.10 = 9.67

Since you're getting a 0 then you directly subtract that from the 96.7% you have.

The answer also has to do with the total grade and total assignments done but that info is not provided

on a field trip there are 12 adults and 14 students what is the ratio of the number of adults to the total number of people on the field trip

Answers

Answer:

ratio would be  6:13

Step-by-step explanation:

On a field trip there are 12 adults and 14 students.

The total number of people = 12 + 14 = 26 people

The ratio of the number of adults = (12)/(26)=(6)/(13) or 6 : 13

The ratio would be 6:13

Answer:

6 to 13

Step-by-step explanation:

Hope it's correct :)

What is 9.1% written as a decimal?

Answers

To convert a percent to decimal,  move the decimal place two places to the left.  You get 0.091
0.091  hope  that i helped

The function g(x) is define as g(x) = -2x^2+3x. The value of g(-3) is

Answers

Answer:

g(- 3) = - 27

Step-by-step explanation:

To evaluate g(- 3) substitute x = - 3 into g(x)

g(- 3) = - 2(- 3)² + 3(- 3) = - 2(9) - 9 = - 18 - 9 = - 27
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