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zmey [24]
3 years ago
8

Alan takes 12 minutes to jog 1 kilometer. How many seconds does Alan take to jog 1 kilometer?

Mathematics
3 answers:
Brilliant_brown [7]3 years ago
8 0
720 because  60 multiplied by 12 = 720 hope i helped
8090 [49]3 years ago
3 0
Your answer is 720 because 12 minutes * 60 seconds is the same amount of time for the same distance

Heidy2 years ago
0 0

720 is the answer because 60 seconds * 12 minutes =720

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Is 1.32 a rational number or integer
Ivahew [28]

Answer:

A rational number.

Step-by-step explanation

A rational number is a ratio of whole numbers.

1/3 is the ratio of 1:3

3:1 becomes 3/1 = 3

32:10 can be written 32/10 or 16/5 or 3.2

16/5 is a rational number 16 and 5 are integers, 5 is not equal to 0.

Therefore, 3.2 which can be expressed as 16/5 is a rational number.

6 0
3 years ago
Find the intervals on which​ f(x) is​ increasing, the intervals on which​ f(x) is​ decreasing, and the local extrema. f (x )equa
Kaylis [27]

Answer:

f(x) is increasing in the intervals (-∞,-4) and (9,∞)

f(x) is decreasing in the ingercal (-4,9)

The local extrema is:

local max at (-4,496)

and local min at (9,-1701)

Step-by-step explanation:

In order to solve this problem we must start by finding the derivative of the provided function, which we can find by using the power rule.

if f(x)=ax^{n} then f'(x)=anx^{n-1}

so we get:

f(x)=2x^{3}-15x^{2}-216x

f'(x)=6x^{2}-30x-216

in order to find the critical points we mus set the derivative equal to zero, since the local max an min will happen when the slope of the tangent line to the given point is zero, so we get:

6x^{2}-30x-216=0

we can solve this by factoring, so let's factor that equation:

6(x+4)(x-9)=0

we can now set each of the factors equal to zero so we get:

x+4=0 and x-9=0

when solving each for x we get that:

x=-4 and x=9

These are our critical points, now we can build the possible intervals we are going to use to determine where the function will be increasing and where it will be decreasing:

(-∞,-4), (-4,9) and (9,∞)

so now we need to test these intervals in the derivative to see if the graph will be increasing or decreasing in the given intervals. So let's pick x=-5 for the first one, x=0 for the second one and x=10 for the third one.

When evaluating them into the first derivative we get that:

f'(-5)=84, this is a positive answer so it means that the function is increasing in the interval (-∞,--4)

f'(0)=-216, this is a negative anser so it means that the function is decreasing in the interval (-4,9)

f'(10)=84, this is a positive answer so it means that the function is increasing in the interval (9,∞)

Now, for the local extrema, we can see that at x=-4, the function it's increasing on the left of this point while it's decreasing to the right, which means that there will be a local maximum at x=-4, so the local max is the point (-4,496)

We can see that at x=9, the function it's decreasing on the left of this point while it's increasing to the right, which means that there will be a local minimum at x=-9, so the local min is the point (9,-1701)

7 0
3 years ago
A piece of string that is 9.4 meters long is cut into two pieces. One piece is 3 times as long as the other. Find the length of
xenn [34]

9.4=3x+x

9.4=4x

=2.35

the shorter piece is 2.35 and <u>the longer piece is </u><u>7.05</u>

5 0
3 years ago
You earned $75.70. You would like to buy some new T-shirts. Estimate the number of T-shirts you can buy if each one costs $10.80
Alex787 [66]
the answer is 7 t-shirts

divide 75.70 by 10.80

hope this helped :)
4 0
3 years ago
3. Resuelve el triángulo con A = 30º, a = 3 cm y b = 4 cm y comprueba que hay dos soluciones posibles.
Igoryamba

Answer:

41.8°

Step-by-step explanation:

Resolvemos esta pregunta usando la regla del seno

a / sin A = b / sin B

Estamos despejando el ángulo B

Por lo tanto:

3 / sin 30 = 4 / sin B

Cruz multiplicar

3 × sin B = sin 30 × 4

sin B = sin 30 × 4/3

B = arco sin [sin 30 × 4/3]

B = 41.81031 °

Aproximadamente = 41.8 °

4 0
3 years ago
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