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mart [117]
3 years ago
6

15 minutes is what percentage of One Hour?

Mathematics
1 answer:
Yuki888 [10]3 years ago
4 0

Answer:

25%

Step-by-step explanation:

1 Hr = 60 Minutes

Divide by 15 = 4

100/4 = 25%

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Sketch the graph of the inequality.<br> 9. 7y − 2x + 3 &lt; 17
ohaa [14]

7y-2x+3 < 17\ \ \ \ |-3\\\\7y-2x < 14\ \ \ \ |+2x\\\\7y < 2x+14\ \ \ \ |:7\\\\y < \dfrac{2}{7}x+2\\\\y=\dfrac{2}{7}x+2\\\\for\ x=0\to y=\dfrac{2}{7}(0)+2=2\to(0,\ 2)\\\\for\ x=-7\to y=\dfrac{2}{7}(-7)+2=0\to(-7,\ 0)

5 0
3 years ago
Here are some values of sequence Q. Write a recursive definition for the sequence.
Rashid [163]

Answer: Q(n) = Q(n - 1) + 2.5

Step-by-step explanation:

We have 3 values of the sequence Q(n)

These values are:

Q(1) = 3

Q(3) = 8

Q(7) = 18

I would think that this is a geometric sequence.

Remember that the equation for the n-th term of a geometric sequence is:

A(n) = A(1)*r^(n-1)

where r is a constant, and A(1) is the first term of the sequence.

If we rewrite the terms that we know of Q(n) in this way we get:

Q(3) = Q(1)*r^(3 - 1) = 3*r^2 = 8

Q(7) = Q(1)*r^(7 - 1) = 3*r^6 = 18

Then we have two equations:

3*r^2 = 8

3*r^6 = 18

We should see if r is the same for both equations:

in the first one we get:

r^2 = 8/3

r = (8/3)^(1/2) = 1.63

and in the other equation we get:

r^6 = 18/3

r = (18/3)^(1/6) = 1.34

Then this is not a geometric sequence.

Now let's see if this is an arithmetic sequence.

The n-th term of an arithmetic sequence is written as:

A(n) = A(1) + (n - 1)*d

where d is a constant.

If we write the terms of Q(n) that we know in this way we get:

Q(3) = Q(1) + (3 - 1)*d = 3 + 2*d = 8

Q(7) = Q(1) + (7 - 1)*d = 3 + 6*d = 18

We need to see if d is the same value for both equations.

in the first one we get:

3 + 2*d = 8

2*d = 8 - 3 = 5

d = 5/2 = 2.5

In the second equation we get:

3 + 6*d = 18

6*d = 18 - 3 = 15

d = 15/6 = 2.5

d is the same for both terms, then this is an arithmetic sequence.

An arithmetic sequence is a sequence where the difference between any two consecutive terms is always the same value (d)

Then the recursive relation is written as:

A(n) = A(n - 1) + d

Then the recursive relation for Q is:

Q(n) = Q(n - 1) + 2.5

4 0
3 years ago
A bag contains 6 red and 10 black marbles. If you pick a marble from the bag, what is the probability that the marble will not b
Anton [14]

Answer:

you add 6 and ten to get 16. Since there are only 6 red, you do 6/16 = 0.375

So the answer is 37.5%

Step-by-step explanation:

3 0
3 years ago
Whats the mathematical formula of a dodecahedron
yanalaym [24]
A regular dodecahedron is a regular polyhedron composed of 12 equally sized regular pentagons.
5 0
3 years ago
The equilateral triangle shown is rotated about line a. Each side of the triangle measures 20 mm. What shape is created by the r
zysi [14]

Answer:

a cone with a base circumference of about 126 mm

Step-by-step explanation:

Rotating a triangle about a line results in a cone created by the rotation.  This is because the segment at the bottom forms a circle, and the point at the top stays there; the three-dimensional figure with a circular base and a point at the top is a cone.

Since we rotate the segments about a line, this makes the length of the base the radius of the circle. This means the circumference would be

C = 2πr = 2(3.14)(20) = 125.6 ≈ 126 mm

3 0
3 years ago
Read 2 more answers
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