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disa [49]
3 years ago
14

An olympic hurdler accelerates at a rate of 15.5 m/s2 . what is the rate in miles/min2 ? 1. 6.89 miles/min2 2. 31.8 miles/min2 3

. 2.69 miles/min2 4. 1.15 miles/min2 5. 34.7 miles/min2 6. 1.49 miles/min2 7. 0.581 miles/min2
Mathematics
1 answer:
Tom [10]3 years ago
3 0
For this case we have to take into account the following conversions:
 1 mile = 1609.34 meters

1 minute = 60 seconds
 Let's first transform the expression to miles per seconds squared:
 (15.5) * (1 / 1609.34) = 0.009631277 mi / s ^ 2

 Then, we transform the result to miles per minute squared.
 We have then:
 (0.009631277) * (60) ^ 2 = 34.7 mi / min ^ 2

 Answer:
 
the rate in miles/min^2 is:
 
34.7 mi / min ^ 2
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What is the sum of series is numbers 64&amp;66 ?<br> Using the summation notation
iragen [17]

Answer:

64. 6138

66. 8.078125

Step-by-step explanation:

Let's take it one number at a time.

For number 64:

6(2)^{1-1}=6

6(2)^{2-1}=12

6(2)^{3-1}=24

6(2)^{4-1}=48

6(2)^{5-1}=96

6(2)^{6-1}=192

6(2)^{7-1}=384

6(2)^{8-1}=768

6(2)^{9-1}=1536

6(2)^{10-1}=3072

Sum = 6 + 12 + 24 + 48 + 96 + 192 + 384 + 768 + 1536 + 3072

Sum = 6138

For number 66:

12(-\frac{1}{2})^{0}=12

12(-\frac{1}{2})^{1}=-6

12(-\frac{1}{2})^{2}=3

12(-\frac{1}{2})^{3}=-1.5

12(-\frac{1}{2})^{4}=0.75

12(-\frac{1}{2})^{5}=-0.375

12(-\frac{1}{2})^{6}=0.1875

12(-\frac{1}{2})^{7}=-0.0078125

12(-\frac{1}{2})^{8}=0.046875

12(-\frac{1}{2})^{9}=-0.0234375

Sum = 12 + -6 + 3 + -1.5 + 0.75 + -0.375 + 0.1875 + -0.0078125 + 0.046875 + -0.0234375

or to make things simpler:

Sum = 12 - 6 + 3 - 1.5 + 0.75 - 0.375 + 0.1875 - 0.0078125 + 0.046875 - 0.0234375

Sum = 8.078125

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3 years ago
What is the greatest common factor of 42 ab 35ab4 and 42ab42
Lana71 [14]

Answer:

7

Step-by-step explanation:

6 0
3 years ago
How much simple interest would $1 ,400 earn in 12 months at an interest rate of 3.25%?
goldfiish [28.3K]

Answer:

$45.50

Step-by-step explanation:

Interest = Principal x rate x time (in years)

I = 1400 x .0325 x 1

3 0
3 years ago
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I need help understanding how to solve this problem.
LUCKY_DIMON [66]

Answer:

  • <u><em>D. (-5/13, -12/13)</em></u>

Explanation:

It is indicated to <em>find the coordinates</em> of the <em>point T (5/13, 12/13) </em>at a distance <em>π + x.</em>

  • π is an arc of half a circle, i.e. 180º.

Then, the distance π+ x means that the <em>point T</em> is rotated 180º.

The rule for the rotation of a point 180º around the origin is:

  • (x, y) → (-x, - y)

Applying that rule to the point T:

  • (5/13, 12/13) → (-5/13, - 12/13) ← answer
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3 years ago
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What is 0.00047 in standard form.​
Deffense [45]

Step-by-step explanation:

0.00047. = 47÷10 000

=4.7×10/10^-5

= 4.7×10^-4

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