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galina1969 [7]
3 years ago
8

1. Sam drove to the beach, 160 miles from his home, at 40 miles per hour. He drove home the next day at 20 miles per hour. Calcu

late the total number of hours that Sam spent driving. (hint: Distance = Rate * Time
2. If motocross ace Elizabeth Bash can travel 110 feet per second on her Kawasaki cycle, it would take her seconds for her to travel one mile.

hint* there are 5280 feet per mile
Mathematics
1 answer:
Nady [450]3 years ago
3 0
1-12 hours
2-48 seconds
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Ooth<br> 3 12100<br> Х<br> -3<br> -2.<br> у<br> 5<br> 2<br> -1<br> 4<br> -7<br> What is the slope?
MrMuchimi
-4 that will be your answer
6 0
3 years ago
Use function notation to write a recursive formula to represent the sequence: 3, 6, 9, …
dlinn [17]

Answer:

f(n) = f(n - 1) + 3

Step-by-step explanation:

Substitute $ n = 1, 2, 3,.. $ to get the recursive formula.

OPTION 1: f(n) = f(n - 1) + 3

Substituting n = 1.

f(1) = f(1 - 1) + 3 = 0 + 3 = 3.

Substituting n = 2.

f(2) = f(2 - 1) + 3 = f(1) + 3 = 3 + 3 = 6.

Substituting n = 3.

f(3) = f(3 - 1) + 3 = f(2) + 3 = 6 + 3 = 9.

The numbers match the given sequence. So, we say the above recursive formula represents the sequence.

OPTION 2: f(n) = f(n - 1) + 2

Substituting n = 1

f(1) = f(0) +  2 $ \ne $ 3.

So, this is eliminated.

Similarly, OPTION 3 and OPTION 4 can be eliminated as well.

4 0
3 years ago
C. Make n subject of the formula<br>S= n/2 [2a + (n - 1)d]<br><br>please provide your working out ​
yKpoI14uk [10]

Answer:

n=\frac{4as -2ds}{(1-2ds)}

Step-by-step explanation:

S= \frac{n}{2 [2a + (n - 1)d]}

Simplifying the fraction by multiplying d into the (n-1) term,

s=\frac{n}{2 [2a + (n - 1)d] } = \frac{n}{2[2a + dn - d] }

Simplifying the fraction by multiplying 2 throughout,

s= \frac{n}{4a + 2dn-2d}

Multiply (4a + 2dn-2d) on both sides

(4a + 2dn-2d)s= \frac{n}{4a + 2dn-2d} (4a + 2dn-2d)

Cancel the (4a + 2dn-2d) on the right hand side

(4a + 2dn-2d)s= n

Multiply s to the terms,

4as + 2dns-2ds= n

Move 2dns to the right hand side by subtracting 2dns on both sides4as + 2dns-2ds-2dns= n-2dns

4as -2ds= n-2dns

On the right hand side of the equation, take out n

4as -2ds= n(1-2ds)

Divide Left hand side by (1-2ds),

n=\frac{4as -2ds}{(1-2ds)}

6 0
3 years ago
Please help me with this question!!
stepladder [879]

Answer:

  1. rational
  2. irrational
  3. irrational
  4. irrational
  5. √7, it is irrational

Step-by-step explanation:

A <em>rational</em> number is one that can be expressed as the ratio of two integers. All fractions that have integer numerators and (non-zero) denominators are <em>rational</em> numbers. Any finite decimal number, or any repeating decimal number, is a rational number. These can always be expressed as the ratio of two integers. For example, 0.4040... = 40/99, and 0.286 = 286/1000.

To make an irrational sum, at least one of the contributors must be irrational. You want an irrational 2-number sum that has 7/8 as one of the contributors. Since 7/8 is rational, the other contributor must be irrational.

__

<u>Step 1</u>. The number 7/8 is <em>rational</em>.

<u>Step 2</u>. The desired sum is <em>irrational</em>.

<u>Step 3</u>. The rule <em>rational + </em><em>irrational</em><em> = irrational</em> applies.

<u>Step 4</u>. An <em>irrational</em> number must be chosen.

Step 5. √7 will produce an irrational sum, because <em>it is irrational</em>.

5 0
2 years ago
If a man can run p miles in x minutes, how long will it take him to run q miles at the same
igomit [66]
D = p*x = q*t => t = (p*x)/q;
3 0
2 years ago
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