1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ira [324]
2 years ago
12

You are driving a 50 foot vehicle at night. although you are on the highway, a bad rainstorm is forcing you to creep along at 35

mph. you should keep ___seconds of distance between you and the vehicle ahead.
Mathematics
1 answer:
hoa [83]2 years ago
7 0

You should keep 0.97 seconds of distance between you and the vehicle ahead.

<h3>How to calculate the distance and time taken by a car</h3>

The formula for calculating distance is expressed as:

distance  = speed * time

Time = Distance/Speed

Given the following parameters

Distance = 50 feet

Speed = 35mph = 51.3ft/s

Time taken = 50/51.3
Time taken = 0.97

Hence you should keep 0.97 seconds of distance between you and the vehicle ahead.

Learn more on distance and speed here: brainly.com/question/11495758

You might be interested in
Elisondra is eating at a restraurant with three friends. They want to choose at random who will order first. If you
quester [9]

Answer:

4 i did the quizzzzzzzzzzzzzzzzzzzzzzzzz

Step-by-step explanation:

6 0
3 years ago
Prove that 2n^3 + 3n^2 + n is divisible by 6 for every integer n &gt; 1 by mathematical induction. (7 marks)
notka56 [123]

Answer:

The answer is True

Step-by-step explanation:

A <em>mathematical induction</em> consists in only 2 steps:  

<u>First step</u>: Show the proposition is true for the first one valid integer number.

<u>Second step</u>: Show that if any one is true then the next one is true  

Finally, if first step and second step are true, then the complete proposition is true.

So, given 2*n^3+3*n^2+n

First step: using and replacing n=2 (the first valid integer number >1)

2*(2)^3 +3*(2)^2+2=30

\frac{30}{6} =5

As the result is an integer number, so the first step is true.

Second step: using any next number, n+1, let it replace

2*(n+1)^3+3*(n+1)^2+(n+1)\\2*(n^3+3*n^2+3*n+1)+3*(n^2+2*n+1)^2+(n+1)\\2*n^3+6*n^2+6*n+2+3*n^2+6*n+3+n+1\\(2*n^3+3*n^2+n)+(6*n^2+12*n+6)

As the First step is true, we know that

2*n^3+3*n^2+n=6*k,

So let it replace in the previous expression

6*k+6*(n^2+2*n+1)\\6*[k+(n^2+2*n+1)]

Finally

\frac{6*[k+(n^2+2*n+1)]}{6} =k+(n^2+2*n+1)

where the last expression is an integer number

So the second step is true, and the complete proposition is True

5 0
3 years ago
Choose the function that the graph represents
gayaneshka [121]

Answer:

Where are the functions and the graph?

Step-by-step explanation:


6 0
3 years ago
43.
aleksklad [387]

Answer:

4.12 kg

Step-by-step explanation:

Regular cakes:

1 dozen normal sponge cakes: 264 g plain flour

Vegetarian cakes:

1 dozen cakes: 264 g plain flour

4 eggs are replaced by 4 * 30 g of flour = 120 g flour

total flour for 1 dozen vegetarian cakes = 264 g + 120 g = 384 g

Proportion for regular cakes:

12 cakes to 264 g flour = 100 cakes to x grams flour

12/264 = 100/x

12x = 26400

x = 2200

2200 g flour for 100 regular cakes

Proportion for vegetarian cakes:

12 cakes to 384 g flour = 60 cakes to y grams flour

12/384 = 60/y

12y = 384 * 60

12y = 23040

y = 1920

1920 g flour for 60 vegetarian cakes

Total flour needed:

2200 g + 1920 g = 4120 g

4120 g * 1 kg/(1000 g) = 4.12 kg

Answer: 4.12 kg

4 0
3 years ago
Which theorem would be used to prove the triangles below as congruent?
Stells [14]

Answer:

  A:  HL

Step-by-step explanation:

The hypotenuses of these right triangles are marked congruent.

One leg of these right triangles is marked congruent.

The HL theorem applies.

4 0
2 years ago
Other questions:
  • Is 32.725 greater or lesser then 32.735
    7·1 answer
  • |2 1/3 x+0.3|=3.5 <br> |2 1/3 x-0.3|=3.5
    7·2 answers
  • Emma has 16 crackers she eats some could she still have 16 left?
    15·2 answers
  • What is the answer and work shown for 9r+r+7b+10+b+r+4n
    5·2 answers
  • Write 2.96 as a mixed number or fraction in simplest form show your work
    8·1 answer
  • Which system has no solution?
    13·1 answer
  • Find the inverse of h(x) = <img src="https://tex.z-dn.net/?f=%5Cfrac%7B2x%2B6%7D%7B5%7D" id="TexFormula1" title="\frac{2x+6}{5}"
    7·1 answer
  • Answer the triangle
    11·2 answers
  • What’s the area of the figure ?
    6·1 answer
  • Five years ago, John’s age was half of the age of Mary. John is 4 years younger than Mary now. How old is John now
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!