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katovenus [111]
3 years ago
9

a race car is driving under the caution flag at 440 feet per second begins to accelerate at a constant rate after the warning fl

ag. the distance traveled since the warning flag in feet is characterized by 30t^2+440t, where t is the time in seconds after the car starts accelerating again. How long will the car take to travel 150 feet?
Mathematics
1 answer:
slava [35]3 years ago
6 0

Answer: \frac{1}{3}\ s

Step-by-step explanation:

Given

Distance traveled is s=30t^2+440t

for s=150 ft

\Rightarrow 30t^2+440t=150

\Rightarrow 30t^2+440t-150=0\\\Rightarrow 3t^2+44t-15=0\\\Rightarrow (3t-1)(t+15)=0\\\Rightarrow t=\dfrac{1}{3}\ s

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Which of the following exponential functions goes through the points (1, 12) and (2, 36)?
Savatey [412]

Answer:

The function through which given point passes is f(x) = 24 x - 12 .

Step-by-step explanation:

Given as :

The points are

x_1 , y_1 = 1 , 12

x_2 , y_2 = 2 , 36

now, slope of the line

Let The slope of line = m = \frac{y_2-y_1}{x_2-x_1}

Or, m = \frac{36 - 12}{2-1}

Or, m = 24

So The slope of line = m = 24

<u>Now, equation of line in point-slope form</u>

y - y_1 = m × (x - x_1 )

Or, y - 12 = 24 × (x - 1 )

or, y - 12 = 24 x - 24

or, y = 24 x - 24 + 12

or, y = 24 x - 12

or , f(x) = 24 x - 12

So, The function through which given point passes is f(x) = 24 x - 12 . Answer

5 0
3 years ago
A librarian has a set of ten different books, including four different books about Abraham Lincoln. The librarian wants to put t
Darya [45]

Answer:

120960

Step-by-step explanation:

Given that a  librarian has a set of ten different books, including four different books about Abraham Lincoln.

The librarian wants to put the ten books on a shelf with the four Lincoln books next to each other, somewhere on the shelf among the other six different books.

First arrnage the 6 other books in the shelf.  

This can be done in                                        6! ways

Now arrange the 4 books of Lincoln      

This can be done in                                        4! ways

Now we have 7 places to insert Lincoln books including two corners and in between.

Thus this can be done in 7 ways

Total no of ways = 6!(4!)(7) = 120960

3 0
3 years ago
URGENT!!!!!!!!!!!!!!!!
Kruka [31]

Answer:

0.5 over 1

Step-by-step explanation:

look at how much it goes down

8 0
3 years ago
If I buy 3 4/5kg of cherries and 2 1/4 of strawberry's what is the Mass kilograms of fruit
lisov135 [29]
If you would like to know how many kilograms of fruit do you have, you can calculate this using the following steps:

3 4/5 kg of cherries + 2 1/4 kg of strawberries = 3 4/5 + 2 1/4 = 19/5 + 9/4 = 76/20 + 45/20 = (76 + 45) / 20 = 121/20 = 6 1/20 kg of fruit

The correct result would be 6 1/20 kilograms of fruit.
3 0
3 years ago
David can run at a consistent rate of 8.2 miles per hour. If he has 3 and a half hours to
Nataliya [291]

Answer:

David can run 28.7 miles in 3.5 hours.

Step-by-step explanation:

8.2mph × 3.5hours = 28.7miles

<em>good luck, i hope this helps :)</em>

7 0
3 years ago
Read 2 more answers
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