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Setler79 [48]
3 years ago
10

Sam ran 3 1/2 miles in 25 minutes. If he continues running at this pace how far will he run in 1 hour

Mathematics
2 answers:
zheka24 [161]3 years ago
5 0

Answer: 8.4 or 8 2/5

Step-by-step explanation:

3 1/2 for 25 minutes and 0.14 miles per minute so 0.14 * 60 since there are 60 minutews in a hour and you get ur answer.

11111nata11111 [884]3 years ago
3 0
He will run 8.4 miles in an hour. 3.5/25=x/60
3.5*60=210
210/25=8.4
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Limit of x^2-81/x+9<br> As x goes toward -9
Semmy [17]
Hello,

Use the factoration

a^2 - b^2 = (a - b)(a + b)

Then,

x^2 - 81 = x^2 - 9^2

x^2 - 9^2 = ( x - 9).(x + 9)

Then,

Lim (x^2- 81) /(x+9)

= Lim (x -9)(x+9)/(x+9)

Simplity x + 9

Lim (x -9)

Now replace x = -9

Lim ( -9 -9)

Lim -18 = -18
_______________

The second method without using factorization would be to calculate the limit by the hospital rule.

Lim f(x)/g(x) = lim f(x)'/g(x)'

Where,

f(x)' and g(x)' are the derivates.

Let f(x) = x^2 -81

f(x)' = 2x + 0
f(x)' = 2x

Let g(x) = x +9

g(x)' = 1 + 0
g(x)' = 1

Then the Lim stay:

Lim (x^2 -81)/(x+9) = Lim 2x /1

Now replace x = -9

Lim 2×-9 = Lim -18

= -18




7 0
3 years ago
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6 0
3 years ago
What’s the equation that is parallel line 3y-4x=6<br> please help for brainlist
iren2701 [21]

Answer:

y=3/4 x-6

Step-by-step explanation:

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6 0
3 years ago
There is a set of 12 cards numbered 1 to 12. A card is chosen at random. Event A is choosing a number less
kaheart [24]

The number of permutations of picking 4 pens from the box is 30.

There are six different unique colored pens in a box.

We have to select four pens from the different unique colored pens.

We have to find in how many different orders the four pens can be selected.

<h3>What is a permutation?</h3>

A permutation is the number of different arrangements of a set of items in a particular definite order.

The formula used for permutation of n items for r selection is:

    ^nP_r = \frac{n!}{r!}

Where n! = n(n-1)(n-2)(n-3)..........1 and r! = r(r-1)(r-2)(r-3)........1

We have,

Number of colored pens = 6

n = 6.

Number of pens to be selected = 4

r = 4

Applying the permutation formula.

We get,

= ^6P_4

= 6! / 4!

=(6x5x4x3x2x1 ) / ( 4x3x2x1)

= 6x5

=30

Thus the number of permutations of picking  4 pens from a total of 6 unique colored pens in the box is 30.

Learn more about permutation here:

brainly.com/question/14767366

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6 0
1 year ago
F (x) = |x + 3| -1 . Find the average rate of change from x = -6 to x = 8
Elenna [48]
Average rate of change is (f(8) - f(-6))/(8 - (-6)) = ((<span>|8 + 3| -1) - (</span><span>|-6 + 3| -1))/(8 + 6) = ((</span><span>|11| -1) - (</span><span>|-3| -1))/14 = ((11 - 1) - (3 - 1))/14 = (10 - 2)/14 = 8/14 = 4/7</span>
3 0
3 years ago
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