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zzz [600]
2 years ago
14

A children's roller coaster ride travels along 3,300 feet of track at an average rate of 15

Mathematics
1 answer:
Olenka [21]2 years ago
4 0

Answer:

150 seconds

Step-by-step explanation:

Remember that

1\ mile=5,280\ feet

To convert miles to feet multiply by 5,280

1\ hour=3,600\ seconds

To convert hours to seconds, multiply by 3,600

step 1

Convert the average rate of miles per hour to feet per second

15\frac{mi}{h}=15(\frac{5,280}{3,600})=22\frac{ft}{sec}

step 2

Find out how many seconds does the ride take to travel this length of track

we know that

The length of the track is 3,300 ft

so

Divide the total length of the track by the speed

\frac{3,300}{22}= 150\ sec

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The third term in an arithmetic sequence is 9 and the fifth term is 21 . If the first term if a1, which is an equation for the n
tino4ka555 [31]

Answer:

A: an = 6n - 9

Step-by-step explanation:

third term in an arithmetic sequence is 9

a3 = a + 2d

a + 2d = 9

the fifth term is 21

a5 = a + 4d

a + 4d = 21

a + 2d = 9 (1)

a + 4d = 21 (2)

Subtract (1) from (2) to eliminate a

4d - 2d = 21 - 9

2d = 12

d = 12/2

d = 6

Substitute d = 6 into (1)

a + 2d = 9 (1)

a + 2(6) = 9

a + 12 = 9

a = 9 - 12

a = -3

nth term of this sequence = a + (n - 1)d

= -3 + (n - 1)6

= -3 + 6n - 6

= 6n - 9

an = 6n - 9

3 0
2 years ago
Simplify: 1. Write the prime factorization of the radicand. 2. Apply the product property of square roots. Write the radicand as
Elis [28]

Simplify: 

<span>1. Write the prime factorization of the radicand.</span>  <span>2. Apply the product property of square roots. Write the radicand as a product, forming as many perfect square roots as possible. </span>

3. Simplify.

 =the answer is 18


4 0
3 years ago
Read 2 more answers
(7 + (-3) - 4 ) ÷ ( (-7) x ( 2 - (-6) ) )<br><br> Please show work!
Temka [501]

Answer:

Undefined

Step-by-step explanation:

(7 - 3 - 4) ÷ (-7 * (2+6))

(0) ÷ (-56)

Undefined because zero cannot be divided

Hope this helps :)

5 0
2 years ago
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A square has a side length of p - 7. What is its area?
Masteriza [31]

Answer:

p²-14p+49

Step-by-step explanation: To find the area of a square just multiply side x  side. So (p-7)(p-7). Use FOIL or double distributive property to get p²-7p-7p+49 then combine the two middle terms to get p²-14p+49

6 0
2 years ago
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We have a shape that has an area of 112 inches squared. Convert the units to centimeters squared. (HINT: Perform multiple conver
Andre45 [30]
<h3>Answer: 722.5792 square centimeters</h3>

Work Shown:

112 \text{ in}^2 = 112 \text{ in}^2 \times \frac{2.54 \text{ cm}}{1 \text{ in}} \times \frac{2.54 \text{ cm}}{1 \text{ in}}\\\\112 \text{ in}^2 = (112 \times 2.54 \times 2.54) \text{ cm}^2\\\\112 \text{ in}^2 = 112 \times (2.54)^2 \text{ cm}^2\\\\112 \text{ in}^2 = 722.5792 \text{ cm}^2\\\\

Notes:

  • 1 inch = 2.54 cm exactly
  • The conversion factor \frac{2.54 \text{ cm}}{1 \text{ in}} is used to convert from inches to cm. The inches unit in the denominator cancels with one of the inches unit from the original 112 square inches figure.
  • We use two identical copies of the same conversion factor to convert from square inches to square centimeters. This is the "multple conversion" your teacher is referring to.
  • Think of "square inches", aka \text{in}^2, as "inches times inches". Or think of a 1 inch by 1 inch square that has an area of 1 square inch. The same applies for the square centimeter unit as well.
5 0
1 year ago
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