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noname [10]
3 years ago
5

Problem Page A car is traveling at a rate of 63 miles per hour. What is the car's rate in feet per second? How many feet will th

e car travel in 15 seconds? In your computations, use the fact that 1 mile is equal to 5280 feet. Do not round your answers.
Mathematics
1 answer:
IceJOKER [234]3 years ago
3 0
Providing 1 mile is 5280 feet, then,

v=63 miles/s=63\times5280 feet/s=332640\ \ \ \ feet/s

It will travel,

space=v\cdot t=332640\cdot 15/3600=1386\ \ \ feet

in 15 seconds.
You might be interested in
How is the series 5+11+17…+251 represented in summation notation?
NISA [10]

Answer:

\displaystyle \large{\sum_{n=1}^{42}(6n-1)

Step-by-step explanation:

Given:

  • Series 5+11+17+...+251

To find:

  • Summation notation of the given series

Summation Notation:

\displaystyle \large{\sum_{k=1}^n a_k}

Where n is the number of terms and \displaystyle \large{a_k} is general term.

First, determine what kind of series it is, there are two main series that everyone should know:

  • Arithmetic Series

A series that has common difference.

  • Geometric Series

A series that has common ratio.

If you notice and keep subtracting the next term with previous term:

  • 11-5 = 6
  • 17-11 = 6

Two common difference, we can in fact say that the series is arithmetic one. Since we know the type of series, we have to find the number of terms.

Now that brings us to arithmetic sequence, we know that first term is 5 and last term is 251, we’ll be finding both general term and number of term using arithmetic sequence:

<u>Arithmetic Sequence</u>

\displaystyle \large{a_n=a_1+(n-1)d}

Where \displaystyle \large{a_n} is the nth term, \displaystyle \large{a_1} is the first term and \displaystyle \large{d} is the common difference:

So for our general term:

\displaystyle \large{a_n=5+(n-1)6}\\\displaystyle \large{a_n=5+6n-6}\\\displaystyle \large{a_n=6n-1}

And for number of terms, substitute \displaystyle \large{a_n} = 251 and solve for n:

\displaystyle \large{251=6n-1}\\\displaystyle \large{252=6n}\\\displaystyle \large{n=42}

Now we can convert the series to summation notation as given the formula above, substitute as we get:

\displaystyle \large{\sum_{n=1}^{42}(6n-1)

5 0
2 years ago
Michelle is making throw pillows to decorate her couch. She is going to make two square pillows that are each 2 feet by 2 feet a
lesantik [10]

ok so for the 2 ft pillows the perimeter would be 8 ft and for the 1 ft pillows the perimeter would be 3 ft. So you would need 8(2)+3(3)=16+9=25 so she needs 25 feet of trimming.

3 0
3 years ago
Translate each phrase and select the one that is DIFFERENT from the others. two more than a number, n the total of n and 2 twice
tensa zangetsu [6.8K]

Answer:

Option C.

Step-by-step explanation:

We need to translate each phrase and find the different expression.

"+" sign is used for sum, more and total.

Twice means two times of a number.

Let n be the unknown number.

Two more than a number = n+2

The total of n and 2 = n+2

Twice the number n = 2n

Sum of n and 2 = n+2

From the above expressions it is clear that only 2n is different from other.

Therefore, the correct option is C.

7 0
3 years ago
ABC ~ DEF and the scale factor from ABC to DEF is 1/2, what are the lengths of DE
Likurg_2 [28]

Answer:

13

Step-by-step explanation:

ABC ~ DEF means that ABC and DEF are the same triangle either expanded or contracted.

In this case the scale factor is 1/2. That means DEF is half ABC.

Since AB = 26 then DE must be 26/2 = 13

6 0
3 years ago
PLEASE HELP PLS PLS PRESS ON IT CHECK IF THEYRE RIGHT!!! answer all of the questions pls pls
goldenfox [79]

Answer:

I believe everything is correct

Step-by-step explanation:

Hope That Helped :)

8 0
3 years ago
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