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Lubov Fominskaja [6]
3 years ago
14

You are leaving for a party at your cousin’s house in a city that is 150 km away. You will travel at an average rate of 50 km/hr

. If you need to be at the party in 2.5 hours, how fast would you need to drive to get there?
Mathematics
2 answers:
Lelechka [254]3 years ago
4 0

you would need to go 60 km/hr 150/60=2.5 so you would get to the party right on time.

Vinil7 [7]3 years ago
3 0

If you travel at a constant rate, the equation which describes your traveling is

s = vt

where s is the space traveled, v the velocity you're traveling at, and t is the time passed traveling.

You know the distance and the time, so let's solve the equation for speed:

s = vt \implies v = \dfrac{s}{t}

So, if you plug the values, you have

\dfrac{150}{2.5} = 60

So, you need to travel at an average speed of 60km/hr to be at the party in 2.5 hours. If you travel at an average speed of 50km/hr, you'll be there in three hours

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Lf f(x) = 5x, what is f^-1(x)?
Nonamiya [84]

Answer: f^{-1}(x)=\frac{x}{5}

Step-by-step explanation:

By definition the domain of an inverse function f^-1(x) is the range of f(x) and the range of the inverse function is equal to the domain of the principal function f(x).

If you have a function f(x)=5x, then to find the inverse function, follow these steps:

1. Make y=f(x)

 f(x)=y=5x

 y=5x

2. Solve for the variable "x":

x=\frac{y}{5}

3. Exchange the variable "x" with the variable "y":

y=\frac{x}{5}

4. Exchange "y" withf^{-1}(x). Then the inverse function is:

f^{-1}(x)=\frac{x}{5}

7 0
3 years ago
1. Why is it important to separate experimental groups by a random process?
rusak2 [61]

Randomization allows a sample or small groups with similar characteristics to determine a probability or to hypothesize an event, that is why this type of sample is important in an experiment, that is, to carry it out in a random way.

<h3> What is randomization?</h3>

Randomization allows a sample or small groups with similar characteristics to determine a probability or to hypothesize an event, that is why this type of sample is important in an experiment, that is, to carry it out in a random way.

If a crop at a certain time of year, for example in summer, is affected by a certain fungus, to know if it is really the time of year that affects this problem, random samples of the same crop with the same characteristics and put it to the test at another time of the year to see if the weather is really a risk factor in the spread of this fungus.

To know more about randomization follow

brainly.com/question/13219833

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6 0
2 years ago
Math work pls help :)​
AveGali [126]

Answer:

History of mathematics

Several civilizations — in China, India, Egypt, Central America and Mesopotamia — contributed to mathematics as we know it today. The Sumerians were the first people to develop a counting system. Mathematicians developed arithmetic, which includes basic operations, multiplication, fractions and square roots. The Sumerians’ system passed through the Akkadian Empire to the Babylonians around 300 B.C. Six hundred years later, in America, the Mayans developed elaborate calendar systems and were skilled astronomers. About this time, the concept of zero was developed.

Step-by-step explanation:which includes basic operations, multiplication, fractions and square roots. The Sumerians’ system passed through the Akkadian Empire to the Babylonians around 300 B.C. Six hundred years later, in America, the Mayans developed elaborate calendar systems and were skilled astronomers. About this time, the concept of zero was developed.

7 0
3 years ago
Find the non permissible replacement for -5/3y
Kamila [148]

Answer:

0.

Step-by-step explanation:

The nonpermissible replacement of the variable in an expression is the value of x that will make the denominator of the expression zero.

This problem will therefore be written as -5/3y≠0, and it can't be 0, so 0 is your non permissible replacement.

Hope this helps!

8 0
3 years ago
3. A man of mass 80 kg standing at the top of a tall
Alex

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.

3 0
3 years ago
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